Finite Group Databasebeta

← Group #11898309

Character table — Group #11898309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order122233444466666688881212121234666881212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444444422244466121212121212448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-1-1111111-1-1
χ9111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-11-1-1-11111-1-11-111-1-11-11-1
χ10111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-11111-1-1-11-1-111-11-11
χ11111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1111-1-1-1-1111-111-1-1-11-11
χ12111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-11-11-1-111-1-1111-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1111-1-1-111-1-111-1111-1-1-111-1
χ15111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-11-11-111-1-111-1-11-1-1-111-111-1
χ16111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1111-1-111-1-1-1111-1-11-1-11
χ1722222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ19222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-200000000000000-2200000000
χ20222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-222000000000000002-200000000
χ2122222-12222-1-1222-122222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002202200000000000000-1-1-1-1
χ2222222-12222-1-1222-122222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20-2-2000000000000001111
χ2322222-12222-1-1222-1-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000220-2-200000000000000-1-111
χ2422222-12222-1-1222-1-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000-2-20220000000000000011-1-1
χ2522222-1-2-222-1-1222-12222-2-2-2-2-1-2-1-1-1-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000002-202-200000000000000-11-11
χ2622222-1-2-222-1-1222-12222-2-2-2-2-1-2-1-1-1-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000-220-22000000000000001-11-1
χ2722222-1-2-222-1-1222-1-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000002-20-2200000000000000-111-1
χ2822222-1-2-222-1-1222-1-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2202-2000000000000001-1-11
χ292222-12222222-1-1-122222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000200200-1-1-1-1-1-1-1-10000000000
χ302222-12222222-1-1-122222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-200-200111111110000000000
χ312222-12222222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000200-200-1-1-1-111110000000000
χ322222-12222222-1-1-12-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2220000-2002001111-1-1-1-10000000000
χ332222-12-2-22222-1-1-1222221111-1-2-1-1-1-2-2-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122220000-200-20011-1-1-1-1110000000000
χ342222-12-2-22222-1-1-1222221111-1-2-1-1-1-2-2-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-20000200200-1-11111-1-10000000000
χ352222-12-2-22222-1-1-12-2-2-2-21111-1-2-1-1-122-2-2-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-20000-20020011-1-111-1-10000000000
χ362222-12-2-22222-1-1-12-2-2-2-21111-1-2-1-1-122-2-2-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2220000200-200-1-111-1-1110000000000
χ3722-2-222002-2-2-22-2-2222-2-20000202-2-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000
χ3822-2-222002-2-2-22-2-2222-2-20000202-2-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000
χ3922-2-222002-2-2-22-2-22-2-2220000202-2-200000000000000002-22-222-2-2-2-222-2-222-2-2-2-2222200000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ4022-2-222002-2-2-22-2-22-2-2220000202-2-200000000000000002-22-222-2-2-2-222-2-222-2-2-2-222220000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ4122-2-2-12002-2-2-2-111222-2-233−3−3-10-1110000003−333−3−333−3−3-112-2-1-111-1-11122-2-2-1-1-1-1111133−3−300003333−3−3−3−32i−2i2i−2i0000000000−i3i3−ii−ii−i3i30000000000
χ4222-2-2-12002-2-2-2-111222-2-233−3−3-10-1110000003−333−3−333−3−3-112-2-1-111-1-11122-2-2-1-1-1-1111133−3−300003333−3−3−3−3−2i2i−2i2i0000000000i3−i3i−ii−ii3−i30000000000
χ4322-2-2-12002-2-2-2-111222-2-2−3−333-10-111000000−33−3−333−3−333-112-2-1-111-1-11122-2-2-1-1-1-11111−3−3330000−3−3−3−333332i−2i2i−2i0000000000i3−i3−ii−iii3−i30000000000
χ4422-2-2-12002-2-2-2-111222-2-2−3−333-10-111000000−33−3−333−3−333-112-2-1-111-1-11122-2-2-1-1-1-11111−3−3330000−3−3−3−33333−2i2i−2i2i0000000000−i3i3i−ii−i−i3i30000000000
χ4522-2-2-12002-2-2-2-1112-2-22233−3−3-10-1110000003−333−3−333−3−3-112-2-1-11111-1-1-2-2221111-1-1-1-1−3−3330000−3−3−3−333332i−2i−2i2i0000000000−i3i3−iii−ii3−i30000000000
χ4622-2-2-12002-2-2-2-1112-2-22233−3−3-10-1110000003−333−3−333−3−3-112-2-1-11111-1-1-2-2221111-1-1-1-1−3−3330000−3−3−3−33333−2i2i2i−2i0000000000i3−i3i−i−ii−i3i30000000000
χ4722-2-2-12002-2-2-2-1112-2-222−3−333-10-111000000−33−3−333−3−333-112-2-1-11111-1-1-2-2221111-1-1-1-133−3−300003333−3−3−3−32i−2i−2i2i0000000000i3−i3−iii−i−i3i30000000000
χ4822-2-2-12002-2-2-2-1112-2-222−3−333-10-111000000−33−3−333−3−333-112-2-1-11111-1-1-2-2221111-1-1-1-133−3−300003333−3−3−3−3−2i2i2i−2i0000000000−i3i3i−i−iii3−i30000000000
χ492-22-2222-2002-2-22-2-2−i2i2−i2i22-22-220-22-2−i2i22-200002-22-2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-22-20000000000000000−i2i2−i2i20000
χ502-22-2222-2002-2-22-2-2−i2i2−i2i22-22-220-22-2−i2i22-200002-22-2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-22-220000000000000000i2−i2i2−i20000
χ512-22-2222-2002-2-22-2-2i2−i2i2−i22-22-220-22-2i2−i22-200002-22-2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-22-20000000000000000i2−i2i2−i20000
χ522-22-2222-2002-2-22-2-2i2−i2i2−i22-22-220-22-2i2−i22-200002-22-2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-22-220000000000000000−i2i2−i2i20000
χ532-22-222-22002-2-22-2-2−i2i2−i2i2-22-2220-22-2i2−i2-220000-22-22000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-2-220000000000000000−i2i2i2−i20000
χ542-22-222-22002-2-22-2-2−i2i2−i2i2-22-2220-22-2i2−i2-220000-22-22000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-222-20000000000000000i2−i2−i2i20000
χ552-22-222-22002-2-22-2-2i2−i2i2−i2-22-2220-22-2−i2i2-220000-22-22000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-2-220000000000000000i2−i2−i2i20000
χ562-22-222-22002-2-22-2-2i2−i2i2−i2-22-2220-22-2−i2i2-220000-22-22000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-222-20000000000000000−i2i2i2−i20000
χ5744444-244-4-4-2-2444-200004444-2-4-2-2-200-2-222-4-4-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-2444-20000-4-4-4-4-24-2-2-20022-2-2442222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000000000
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χ624444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-214111-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-2-4-4-4-422221-411144222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ6944-4-44400-44-4-44-4-4400000000404-4-40000000000000000-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7044-4-44-2004-4224-4-4-244-4-40000-20-22200000000000000004-4-22-2-22244-4-4-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ7144-4-44-2004-4224-4-4-2-4-4440000-20-22200000000000000004-4-22-2-222-4-44422-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.