Finite Group Databasebeta

← Group #11778801

Character table — Group #11778801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222222224444444444444444448888888888888888888888888888888888888888881616161616161616363672727272727272
order1222223333666666666666446666666612121212121212124444881212121212121212121212121212121212121212242424242424242424242424242424241212121212121212444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-11-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ92222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000220-200000
χ102222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000-2-20200000
χ112222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1000000000
χ122222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2111-2111000000000
χ132222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-12-1-1-1000000000
χ142222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111000000000
χ15222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1222222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1000000000
χ16222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-122-2-2-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111-2111-211000000000
χ17222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-222-2-2-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-12-1-1-12-1-1000000000
χ18222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-222-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11-2111-211000000000
χ19222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1222222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1000000000
χ20222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-122-2-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111-2111-21000000000
χ21222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-2-222-2-2-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-1-12-1-1-12-1000000000
χ22222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-222-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111-2111-21000000000
χ23222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12000000000
χ24222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111-2111-2000000000
χ25222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-222-2-2-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-1-1-12-1-1-12000000000
χ26222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-222-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2000000000
χ272222-2-222222222222222222-2-2-2-2-2-2-2-2-222222222002-200-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000
χ282222-2-222222222222222222-2-2-2-2-2-2-2-2-22222222200-2200-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000
χ292222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000222200000000000000000000000000000000000000000020-20000
χ302222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002222000000000000000000000000000000000000000000-2020000
χ312222-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-2-211111122-1-1-1-1-1-1002-200-21110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-21112-1-1-1000000000
χ322222-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-2-211111122-1-1-1-1-1-1002-200-21110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-21112-1-1-1000000000
χ332222-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-2-211111122-1-1-1-1-1-100-2200-21110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-1-1-1-2111000000000
χ342222-2-22-1-1-12-1-1-12-1-1-12-1-1-12-2-2-211111122-1-1-1-1-1-100-2200-21110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-1-1-1-2111000000000
χ352222-2-2-12-1-1-12-1-1-12-1-1-12-1-12-211-2-21111-1-122-1-1-1-1002-2001-211−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-211-12-1-1000000000
χ362222-2-2-12-1-1-12-1-1-12-1-1-12-1-12-211-2-21111-1-122-1-1-1-1002-2001-211i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-211-12-1-1000000000
χ372222-2-2-12-1-1-12-1-1-12-1-1-12-1-12-211-2-21111-1-122-1-1-1-100-22001-211−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-12-1-11-211000000000
χ382222-2-2-12-1-1-12-1-1-12-1-1-12-1-12-211-2-21111-1-122-1-1-1-100-22001-211i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-12-1-11-211000000000
χ392222-2-2-1-12-1-1-12-1-1-12-1-1-12-12-21111-2-211-1-1-1-122-1-1002-20011-21−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i311-21-1-12-1000000000
χ402222-2-2-1-12-1-1-12-1-1-12-1-1-12-12-21111-2-211-1-1-1-122-1-1002-20011-21i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i311-21-1-12-1000000000
χ412222-2-2-1-12-1-1-12-1-1-12-1-1-12-12-21111-2-211-1-1-1-122-1-100-220011-21−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-1-12-111-21000000000
χ422222-2-2-1-12-1-1-12-1-1-12-1-1-12-12-21111-2-211-1-1-1-122-1-100-220011-21i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-1-12-111-21000000000
χ432222-2-2-1-1-12-1-1-12-1-1-12-1-1-122-2111111-2-2-1-1-1-1-1-122002-200111-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000111-2-1-1-12000000000
χ442222-2-2-1-1-12-1-1-12-1-1-12-1-1-122-2111111-2-2-1-1-1-1-1-122002-200111-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111-2-1-1-12000000000
χ452222-2-2-1-1-12-1-1-12-1-1-12-1-1-122-2111111-2-2-1-1-1-1-1-12200-2200111-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-1-1-12111-2000000000
χ462222-2-2-1-1-12-1-1-12-1-1-12-1-1-122-2111111-2-2-1-1-1-1-1-12200-2200111-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-1-1-12111-2000000000
χ4722-2-22-222222222-2-2-2-2-2-2-2-2002-22-22-22-20000000000002−2000000000000000000002−22−22−22−22−22−22−22−2000000002-2000002−2
χ4822-2-22-222222222-2-2-2-2-2-2-2-2002-22-22-22-20000000000002−2000000000000000000002−22−22−22−22−22−22−22−200000000-2200000−22
χ4922-2-22-222222222-2-2-2-2-2-2-2-2002-22-22-22-2000000000000−2200000000000000000000−22−22−22−22−22−22−22−22000000002-200000−22
χ5022-2-22-222222222-2-2-2-2-2-2-2-2002-22-22-22-2000000000000−2200000000000000000000−22−22−22−22−22−22−22−2200000000-22000002−2
χ514444444-2-2-24-2-2-24-2-2-24-2-2-2-4-444-2-2-2-2-2-2-4-4222222000000-42220000000000000000000000000000000000000000000000000
χ52444444-24-2-2-24-2-2-24-2-2-24-2-2-4-4-2-244-2-2-2-222-4-422220000002-4220000000000000000000000000000000000000000000000000
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χ874-4-4400-24-2-22-422-24-2-22-42200000000002i3−2i3002i3−2i3−2i32i3−2i2i00000000−2ζ222ζ22−2ζ142ζ14−2i2i−2i2i−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22000000000000000000000000000000000
χ884-4-4400-2-24-222-42-2-24-222-420000000000−2i32i32i3−2i300−2i32i32i−2i000000002ζ14−2ζ142ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142i−2i2i−2i2ζ14−2ζ142ζ22−2ζ22000000000000000000000000000000000
χ894-4-4400-2-24-222-42-2-24-222-420000000000−2i32i32i3−2i300−2i32i3−2i2i00000000−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2i2i−2i2i−2ζ142ζ14−2ζ222ζ22000000000000000000000000000000000
χ904-4-4400-2-24-222-42-2-24-222-4200000000002i3−2i3−2i32i3002i3−2i32i−2i000000002ζ22−2ζ222ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222i−2i2i−2i2ζ22−2ζ222ζ14−2ζ14000000000000000000000000000000000
χ914-4-4400-2-24-222-42-2-24-222-4200000000002i3−2i3−2i32i3002i3−2i3−2i2i00000000−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2i2i−2i2i−2ζ222ζ22−2ζ142ζ14000000000000000000000000000000000
χ924-4-4400-2-2-24222-4-2-2-24222-40000000000−2i32i3−2i32i32i3−2i3002i−2i000000002ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142i−2i2i−2i000000000000000000000000000000000
χ934-4-4400-2-2-24222-4-2-2-24222-40000000000−2i32i3−2i32i32i3−2i300−2i2i00000000−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2i2i−2i2i000000000000000000000000000000000
χ944-4-4400-2-2-24222-4-2-2-24222-400000000002i3−2i32i3−2i3−2i32i3002i−2i000000002ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222i−2i2i−2i000000000000000000000000000000000
χ954-4-4400-2-2-24222-4-2-2-24222-400000000002i3−2i32i3−2i3−2i32i300−2i2i00000000−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2i2i−2i2i000000000000000000000000000000000
χ968-88-8008-4-4-4-8444-84448-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-48-4-44-8444-844-48-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-48-444-8444-84-4-48-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4-48444-8444-8-4-4-4800000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.