Finite Group Databasebeta

← Group #11871283

Character table — Group #11871283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12223344444466666612121212366612121212121212121212121212122244246666666612121212121212121212121222444466121212121212246666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11-111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1111-1-11-1-1-11111-1-111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-1-1-1-1-111111-1-111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1111111-1-11111111-1-1-11111-1-1-1-11-11111-11-1-1-1-1-1-11111-1-1-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1111111-1-11111-1-11-1111111-1-1-1-11-1-1-1111-111-1-111-1-1-1-1111-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111-111111111-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1-111111-111111-1-1-1-1-111-1-1-1-111-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-111-1111-1-1-1-11111-1-11-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1111111-1-1111111-11-1-1-1-1-1-11111-1111-1-1-11-1-111-1-111-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-1111-1-1-1-11111-11-1-1-1-11-1111111-1-111-1-1-11
χ1722222222-2-2-2-22222222222222222-2-2-2-2-2-22222-2-222-2-200000000000000-2-2-2-2000000-220022-2-2-2-2220000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-22222-2-2-2-22200000000000000-2-2-2-20000002-200-2-22222-2-20000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2222200000000000000-2-222000000-2-20022-2-222-2-20000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000-2-2220000002200-2-222-2-2220000000000000000000000
χ2122222-122222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200-1-1-1-1-1-1-1-12200-1-10000-1-10000000000
χ2222222-122222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-2-2-2-2111111-2-211-1-1-1-11111002200-1-1-1-1-1-1-1-1-2-200110000110000000000
χ2322222-122222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-20011111111-2-200110000110000000000
χ2422222-122222222-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2111111-2-211-1-1-1-1111100-2-200111111112200-1-10000-1-10000000000
χ2522222-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1221111-2-2-1-1-1-1-2-222-2-20000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i300-2200-1-11111-1-10000−i3i30000−i3i30000000000
χ2622222-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1221111-2-2-1-1-1-1-2-222-2-20000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i300-2200-1-11111-1-10000i3−i30000i3−i30000000000
χ2722222-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1221111-2-2-1-1-1-1-2-2-2-2220000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i3002-20011-1-1-1-1110000i3−i30000i3−i30000000000
χ2822222-122-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1221111-2-2-1-1-1-1-2-2-2-2220000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i3002-20011-1-1-1-1110000−i3i30000−i3i30000000000
χ2922222-1-2-222-2-222-1-12-11111-1-1-1-1-2-211-1-1221111-2-222220000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i300-2-200-1-111-1-1110000i3−i30000−i3i30000000000
χ3022222-1-2-222-2-222-1-12-11111-1-1-1-1-2-211-1-1221111-2-222220000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i300-2-200-1-111-1-1110000−i3i30000i3−i30000000000
χ3122222-1-2-222-2-222-1-12-11111-1-1-1-1-2-211-1-1221111-2-2-2-2-2-20000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i300220011-1-111-1-10000−i3i30000i3−i30000000000
χ3222222-1-2-222-2-222-1-12-11111-1-1-1-1-2-211-1-1221111-2-2-2-2-2-20000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i300220011-1-111-1-10000i3−i30000−i3i30000000000
χ3322222-1-2-2-2-22222-1-12-11111-1-1-1-1-2-2-1-111-2-211112222-2-22-222-1-1-1-1-1-1-2-211-1-1111111002-200-1-1-1-11111-2200110000-1-10000000000
χ3422222-1-2-2-2-22222-1-12-11111-1-1-1-1-2-2-1-111-2-211112222-2-2-22-2-211111122-1-1-1-111-1-1-1-1002-200-1-1-1-111112-200-1-10000110000000000
χ3522222-1-2-2-2-22222-1-12-11111-1-1-1-1-2-2-1-111-2-2111122-2-2222-222-1-1-1-1-1-1-2-211-1-111111100-22001111-1-1-1-12-200-1-10000110000000000
χ3622222-1-2-2-2-22222-1-12-11111-1-1-1-1-2-2-1-111-2-2111122-2-222-22-2-211111122-1-1-1-111-1-1-1-100-22001111-1-1-1-1-2200110000-1-10000000000
χ372222-12222222-1-122-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12200220000000000-1-10022-1-100-1-1-1-1000000
χ382222-12222222-1-122-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200000000001100-2-211001111000000
χ392222-12222222-1-122-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-111112200220000000000-1-100-2-2-1-1001111000000
χ402222-12222222-1-122-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-11111-2-200-2-200000000001100221100-1-1-1-1000000
χ412222-12-2-2-2-222-1-122-12-2-2-2-2-1-1-1-11122-2-2111111-1-100002-2-1-122-1-1-1-111-2-2-1-11111112200-2-20000000000-1-1002-21100-1-111000000
χ422222-12-2-2-2-222-1-122-12-2-2-2-2-1-1-1-11122-2-2111111-1-100002-2-1-122-1-1-1-111-2-2-1-1111111-2-2002200000000001100-22-1-10011-1-1000000
χ432222-12-2-2-2-222-1-122-12-2-2-2-2-1-1-1-11122-2-2111111-1-10000-2211-2-21111-1-122-1-111-1-1-1-12200-2-20000000000-1-100-22110011-1-1000000
χ442222-12-2-2-2-222-1-122-12-2-2-2-2-1-1-1-11122-2-2111111-1-10000-2211-2-21111-1-122-1-111-1-1-1-1-2-20022000000000011002-2-1-100-1-111000000
χ4522-2-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-20000000000000000002-22i−2i00000000000000000000000000000000002-22i−2i00
χ4622-2-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-20000000000000000002-22i−2i0000000000000000000000000000000000-22−2i2i00
χ4722-2-2222i−2i−2i2i-222-22-2-2-22i2i−2i−2i22-2-22i−2i-22−2i2i−2i2i2i2i−2i−2i-22000000000000000000-22−2i2i00002-2002i−2i00000000002-200002i−2i000000000000
χ4822-2-2222i−2i−2i2i-222-22-2-2-22i2i−2i−2i22-2-22i−2i-22−2i2i−2i2i2i2i−2i−2i-22000000000000000000-22−2i2i0000-2200−2i2i0000000000-220000−2i2i000000000000
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χ5022-2-222−2i2i2i−2i-222-22-2-2-2−2i−2i2i2i22-2-2−2i2i-222i−2i2i−2i−2i−2i2i2i-22000000000000000000-222i−2i0000-22002i−2i0000000000-2200002i−2i000000000000
χ5122-2-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-20000000000000000002-2−2i2i00000000000000000000000000000000002-2−2i2i00
χ5222-2-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-20000000000000000002-2−2i2i0000000000000000000000000000000000-222i−2i00
χ5322-2-2-122i−2i−2i2i-22-112-21-22i2i−2i−2i-1-111−ii-22−2i2ii−i−i−iii1-1000000−i3i300−i3i3−i3i33−3001-1i−i3−33−32-2002i−2i0000000000-110000−ii00−i3i33−3000000
χ5422-2-2-122i−2i−2i2i-22-112-21-22i2i−2i−2i-1-111−ii-22−2i2ii−i−i−iii1-1000000−i3i300−i3i3−i3i33−3001-1i−i3−33−3-2200−2i2i00000000001-10000i−i00i3−i3−33000000
χ5522-2-2-122i−2i−2i2i-22-112-21-22i2i−2i−2i-1-111−ii-22−2i2ii−i−i−iii1-1000000i3−i300i3−i3i3−i3−33001-1i−i−33−332-2002i−2i0000000000-110000−ii00i3−i3−33000000
χ5622-2-2-122i−2i−2i2i-22-112-21-22i2i−2i−2i-1-111−ii-22−2i2ii−i−i−iii1-1000000i3−i300i3−i3i3−i3−33001-1i−i−33−33-2200−2i2i00000000001-10000i−i00−i3i33−3000000
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χ5822-2-2-12−2i2i2i−2i-22-112-21-2−2i−2i2i2i-1-111i−i-222i−2i−iiii−i−i1-1000000−i3i300−i3i3−i3i3−33001-1−ii−33−33-22002i−2i00000000001-10000−ii00i3−i33−3000000
χ5922-2-2-12−2i2i2i−2i-22-112-21-2−2i−2i2i2i-1-111i−i-222i−2i−iiii−i−i1-1000000i3−i300i3−i3i3−i33−3001-1−ii3−33−32-200−2i2i0000000000-110000i−i00i3−i33−3000000
χ6022-2-2-12−2i2i2i−2i-22-112-21-2−2i−2i2i2i-1-111i−i-222i−2i−iiii−i−i1-1000000i3−i300i3−i3i3−i33−3001-1−ii3−33−3-22002i−2i00000000001-10000−ii00−i3i3−33000000
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χ7144-4-44-24i−4i4i−4i4-44-4-22-42−2i−2i2i2i-2-2224i−4i-22−2i2i4i−4i−2i−2i2i2i4-4000000000000000000-22−2i2i0000000000000000000000000000000000000000
χ7244-4-44-24i−4i−4i4i-444-4-22-42−2i−2i2i2i-2-2224i−4i2-22i−2i−4i4i−2i−2i2i2i-440000000000000000002-22i−2i0000000000000000000000000000000000000000
χ7344-4-44-2−4i4i4i−4i-444-4-22-422i2i−2i−2i-2-222−4i4i2-2−2i2i4i−4i2i2i−2i−2i-440000000000000000002-2−2i2i0000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-44-4-22-422i2i−2i−2i-2-222−4i4i-222i−2i−4i4i2i2i−2i−2i4-4000000000000000000-222i−2i0000000000000000000000000000000000000000
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χ7644-4-4-24−4i4i−4i4i4-4-224-42-4−4i−4i4i4i-2-2222i−2i4-4−4i4i2i−2i2i2i−2i−2i-22000000000000000000-222i−2i0000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i-22−2i2i−2i2iii−i−i-2200000000003-3-3300001-1i−i3i−3i−3i3i000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i-22−2i2i−2i2iii−i−i-220000000000-333-300001-1i−i−3i3i3i−3i000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-22-2222−2i−2i2i2i11-1-1−2i2i2-22i−2i2i−2iii−i−i2-2000000−2i32i300i3−i3i3−i323−2300-11−ii−33−33000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-22-2222−2i−2i2i2i11-1-1−2i2i2-22i−2i2i−2iii−i−i2-20000002i3−2i300−i3i3−i3i3−232300-11−ii3−33−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-22-22222i2i−2i−2i11-1-12i−2i2-2−2i2i−2i2i−i−iii2-2000000−2i32i300i3−i3i3−i3−232300-11i−i3−33−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-22-22222i2i−2i−2i11-1-12i−2i2-2−2i2i−2i2i−i−iii2-20000002i3−2i300−i3i3−i3i323−2300-11i−i−33−33000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i-222i−2i2i−2i−i−iii-2200000000003-3-3300001-1−ii−3i3i3i−3i000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i-222i−2i2i−2i−i−iii-220000000000-333-300001-1−ii3i−3i−3i3i000000000000000000000000000000000000
χ854-44-444000000-44-4-4-4400004-4-44000000000000004-40000000000000000000000000000004-40000000000000000000000000000
χ864-44-444000000-44-4-4-4400004-4-4400000000000000-44000000000000000000000000000000-440000000000000000000000000000
χ874-44-44-2000000-4422-4-2−2i32i3−2i32i3-222-200000000−2i32i3−2i32i3004-4000000000000000000000000000000-220000−2i32i30000000000000000000000
χ884-44-44-2000000-4422-4-2−2i32i3−2i32i3-222-200000000−2i32i3−2i32i300-440000000000000000000000000000002-200002i3−2i30000000000000000000000
χ894-44-44-2000000-4422-4-22i3−2i32i3−2i3-222-2000000002i3−2i32i3−2i3004-4000000000000000000000000000000-2200002i3−2i30000000000000000000000
χ904-44-44-2000000-4422-4-22i3−2i32i3−2i3-222-2000000002i3−2i32i3−2i300-440000000000000000000000000000002-20000−2i32i30000000000000000000000
χ914-4-4444000000-4-4-444-400004-44-400000000000000004-4000000000000000000000000000000004-4000000000000000000000000
χ924-4-4444000000-4-4-444-400004-44-40000000000000000-4400000000000000000000000000000000-44000000000000000000000000
χ934-4-444-2000000-4-42-24223−23−2323-22-220000000023−23−232300004-400000000000000000000000000000023−23-22000000000000000000000000
χ944-4-444-2000000-4-42-24223−23−2323-22-220000000023−23−23230000-44000000000000000000000000000000−23232-2000000000000000000000000
χ954-4-444-2000000-4-42-242−232323−23-22-2200000000−232323−2300004-4000000000000000000000000000000−2323-22000000000000000000000000
χ964-4-444-2000000-4-42-242−232323−23-22-2200000000−232323−230000-4400000000000000000000000000000023−232-2000000000000000000000000
χ978-88-8-480000004-4-8-8480000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-40000004-4444-4−4i34i3−4i34i32-2-22000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000004-4444-44i3−4i34i3−4i32-2-2200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800000044-88-4-80000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-4-4443−43−43432-22-200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-4-44−434343−432-22-20000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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