Finite Group Databasebeta

← Group #11873313

Character table — Group #11873313

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121244121212121212121212121212121212121212121224444444888824242424242424244461212121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-111-1-1-1-11-1-11-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-111-11-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-111111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-111-1-1-111-1-1-1111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-111-1-11111-1-1-1-11-1-1111-1-1111-1-1-1-1-111-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11-1-11-111-1-111-1-1-1-111111-1-11-1-111111-1-1-111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-111-11-1-1-1-111-1-1-1-111111-11-111-1-1-1111-1-111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-111111-1-11111-1-1-1-11-11-1-1-111-1111-1-1-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11111-1-1-1-1-111-1-1-1-11111-11-1111-1-11-1-1-111-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-11111-1-11111-1-1-1-1-11-11-1-1111-1-1-11111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000000000-2-222000000002-2002-200000000000000002-20000200-200000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000000000-2-22200000000-2200-220000000000000000-220000-200200000000
χ19222222-2-222-2-222222222222222-2-2-2-222-2-22222-2-20000000000-2-2-2-2000000002200-2-20000000000000000220000-200-200000000
χ20222222-2-222-2-222222222222222-2-2-2-222-2-22222-2-20000000000-2-2-2-200000000-2-200220000000000000000-2-20000200200000000
χ2122222-12222222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000000000000022-1-10000-1-1-1-1-1-1000000
χ2222222-12222222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000000000-2-2110000111111000000
χ2322222-12222222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-11111111122002200000000000000-2-2-1-10000-111-111000000
χ2422222-12222222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-111111111-2-200-2-200000000000000221100001-1-11-1-1000000
χ2522222-122-2-2-2-22-122-1-1-2-2-2-2-1-1-1-1-1-12211111111-2-200−i3i30000−i3i311-1-1−i3−i3i3i3−i3−i3i3i32-2002-20000000000000000-110000-1−i3i31−i3i3000000
χ2622222-122-2-2-2-22-122-1-1-2-2-2-2-1-1-1-1-1-12211111111-2-200−i3i30000−i3i311-1-1−i3−i3i3i3−i3−i3i3i3-2200-2200000000000000001-100001i3−i3-1i3−i3000000
χ2722222-122-2-2-2-22-122-1-1-2-2-2-2-1-1-1-1-1-12211111111-2-200i3−i30000i3−i311-1-1i3i3−i3−i3i3i3−i3−i32-2002-20000000000000000-110000-1i3−i31i3−i3000000
χ2822222-122-2-2-2-22-122-1-1-2-2-2-2-1-1-1-1-1-12211111111-2-200i3−i30000i3−i311-1-1i3i3−i3−i3i3i3−i3−i3-2200-2200000000000000001-100001−i3i3-1−i3i3000000
χ2922222-1-2-222-2-22-122-1-12222-1-1-1-111-2-2-1-111-1-1-1-1-2-200−i3i30000i3−i31111−i3−i3i3i3i3i3−i3−i32200-2-20000000000000000-1-100001i3−i31−i3i3000000
χ3022222-1-2-222-2-22-122-1-12222-1-1-1-111-2-2-1-111-1-1-1-1-2-200−i3i30000i3−i31111−i3−i3i3i3i3i3−i3−i3-2-200220000000000000000110000-1−i3i3-1i3−i3000000
χ3122222-1-2-222-2-22-122-1-12222-1-1-1-111-2-2-1-111-1-1-1-1-2-200i3−i30000−i3i31111i3i3−i3−i3−i3−i3i3i32200-2-20000000000000000-1-100001−i3i31i3−i3000000
χ3222222-1-2-222-2-22-122-1-12222-1-1-1-111-2-2-1-111-1-1-1-1-2-200i3−i30000−i3i31111i3i3−i3−i3−i3−i3i3i3-2-200220000000000000000110000-1i3−i3-1−i3i3000000
χ3322222-1-2-2-2-2222-122-1-1-2-2-2-2-1-1-1-111-2-211-1-11111222-2-1-122-2-211-1-111-1-1-1-111112-200-2200000000000000-22-110000111-1-1-1000000
χ3422222-1-2-2-2-2222-122-1-1-2-2-2-2-1-1-1-111-2-211-1-11111222-2-1-122-2-211-1-111-1-1-1-11111-22002-2000000000000002-21-10000-1-1-1111000000
χ3522222-1-2-2-2-2222-122-1-1-2-2-2-2-1-1-1-111-2-211-1-1111122-2211-2-222-1-1-1-1111111-1-1-1-12-200-22000000000000002-2-1100001-1-1-111000000
χ3622222-1-2-2-2-2222-122-1-1-2-2-2-2-1-1-1-111-2-211-1-1111122-2211-2-222-1-1-1-1111111-1-1-1-1-22002-200000000000000-221-10000-1111-1-1000000
χ372222-12222222-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200222222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ382222-12222222-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-21111111100001111000000000000
χ392222-12222222-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-2-2-21111-2-2-1-1-1-11111111100220022-2-2-2-2111111110000-1-1-1-1000000000000
χ402222-12222222-12-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-2-2-21111-2-2-1-1-1-11111111100-2-200-2-22222-1-1-1-1-1-1-1-100001111000000000000
χ412222-12-2-2-2-222-12-1-1221111-1-1-1-1-2-211-2-2221111-1-12-222-1-111-2-2-1-111-1-1-1-11111002200-2-222-2-2-1-1-1-111110000-1-111000000000000
χ422222-12-2-2-2-222-12-1-1221111-1-1-1-1-2-211-2-2221111-1-12-222-1-111-2-2-1-111-1-1-1-1111100-2-20022-2-2221111-1-1-1-1000011-1-1000000000000
χ432222-12-2-2-2-222-12-1-1221111-1-1-1-1-2-211-2-2221111-1-1-22-2-211-1-122-1-1111111-1-1-1-1002200-2-2-2-2221111-1-1-1-10000-1-111000000000000
χ442222-12-2-2-2-222-12-1-1221111-1-1-1-1-2-211-2-2221111-1-1-22-2-211-1-122-1-1111111-1-1-1-100-2-2002222-2-2-1-1-1-11111000011-1-1000000000000
χ452-2-22222i−2i2i−2i2-2-2-22-2-222i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i0000000000000000000000000000000000000000002i−2i2-200
χ462-2-22222i−2i2i−2i2-2-2-22-2-222i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-22i2i−2i−2i2-200000000002-22i−2i000000000000000000000000000000000000000000−2i2i-2200
χ472-2-22222i−2i−2i2i-22-2-22-2-22−2i−2i2i2i2-22-22i−2i2i−2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i00000000002i−2i002-200000000000000002i−2i2-2000000000000
χ482-2-22222i−2i−2i2i-22-2-22-2-22−2i−2i2i2i2-22-22i−2i2i−2i−2i2i-22−2i−2i2i2i-220000000000-222i−2i0000000000−2i2i00-220000000000000000−2i2i-22000000000000
χ492-2-2222−2i2i2i−2i-22-2-22-2-222i2i−2i−2i2-22-2−2i2i−2i2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i00000000002i−2i00-2200000000000000002i−2i-22000000000000
χ502-2-2222−2i2i2i−2i-22-2-22-2-222i2i−2i−2i2-22-2−2i2i−2i2i2i−2i-222i2i−2i−2i-220000000000-22−2i2i0000000000−2i2i002-20000000000000000−2i2i2-2000000000000
χ512-2-2222−2i2i−2i2i2-2-2-22-2-22−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i0000000000000000000000000000000000000000002i−2i-2200
χ522-2-2222−2i2i−2i2i2-2-2-22-2-22−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-2−2i−2i2i2i2-200000000002-2−2i2i000000000000000000000000000000000000000000−2i2i2-200
χ532-2-22-122i−2i−2i2i-221-2-11-22ii−i−i-11-112i−2i−ii−2i2i-22ii−i−i1-100003−3−i3i3001-1−ii3−33−3−i3i3−i3i3002i−2i002-20000−i3−i3i3i333−3−30000−ii-11000000000000
χ542-2-22-122i−2i−2i2i-221-2-11-22ii−i−i-11-112i−2i−ii−2i2i-22ii−i−i1-100003−3−i3i3001-1−ii3−33−3−i3i3−i3i300−2i2i00-220000i3i3−i3−i3−3−3330000i−i1-1000000000000
χ552-2-22-122i−2i−2i2i-221-2-11-22ii−i−i-11-112i−2i−ii−2i2i-22ii−i−i1-10000−33i3−i3001-1−ii−33−33i3−i3i3−i3002i−2i002-20000i3i3−i3−i3−3−3330000−ii-11000000000000
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χ572-2-22-12−2i2i2i−2i-221-2-11-22−i−iii-11-11−2i2ii−i2i−2i-22−i−iii1-100003−3i3−i3001-1i−i3−33−3i3−i3i3−i3002i−2i00-220000−i3−i3i3i3−3−3330000−ii1-1000000000000
χ582-2-22-12−2i2i2i−2i-221-2-11-22−i−iii-11-11−2i2ii−i2i−2i-22−i−iii1-100003−3i3−i3001-1i−i3−33−3i3−i3i3−i300−2i2i002-20000i3i3−i3−i333−3−30000i−i-11000000000000
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χ602-2-22-12−2i2i2i−2i-221-2-11-22−i−iii-11-11−2i2ii−i2i−2i-22−i−iii1-10000−33−i3i3001-1i−i−33−33−i3i3−i3i300−2i2i002-20000−i3−i3i3i3−3−3330000i−i-11000000000000
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χ704444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-2-2-1-1-1-1-2-2-442222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000
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χ844-4-444-24i−4i−4i4i-44-424-42-2−4i−4i4i4i-22-22−2i2i4i−4i2i−2i2-22i2i−2i−2i-4400000000002-2−2i2i000000000000000000000000000000000000000000000000
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χ874-4-44-244i−4i4i−4i4-42-4-22-44−2i−2i2i2i-22-224i−4i−2i2i4i−4i4-4−2i−2i2i2i-220000000000-22−2i2i000000000000000000000000000000000000000000000000
χ884-4-44-24−4i4i−4i4i4-42-4-22-442i2i−2i−2i-22-22−4i4i2i−2i−4i4i4-42i2i−2i−2i-220000000000-222i−2i000000000000000000000000000000000000000000000000
χ894-4-44-2-24i−4i4i−4i4-422-222-2−2i−2i2i2i1-11-1−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i3i−3i−3i3i3-3-330000000000000000000000000000000000000000
χ904-4-44-2-24i−4i4i−4i4-422-222-2−2i−2i2i2i1-11-1−2i2i−2i2i−2i2i-22ii−i−i-2200000000001-1i−i−3i3i3i−3i-333-30000000000000000000000000000000000000000
χ914-4-44-2-24i−4i−4i4i-4422-222-22i2i−2i−2i1-11-1−2i2i−2i2i2i−2i2-2−i−iii2-2000023−23−2i32i300-11i−i−33−33i3−i3i3−i30000000000000000000000000000000000000000
χ924-4-44-2-24i−4i−4i4i-4422-222-22i2i−2i−2i1-11-1−2i2i−2i2i2i−2i2-2−i−iii2-20000−23232i3−2i300-11i−i3−33−3−i3i3−i3i30000000000000000000000000000000000000000
χ934-4-44-2-2−4i4i4i−4i-4422-222-2−2i−2i2i2i1-11-12i−2i2i−2i−2i2i2-2ii−i−i2-2000023−232i3−2i300-11−ii−33−33−i3i3−i3i30000000000000000000000000000000000000000
χ944-4-44-2-2−4i4i4i−4i-4422-222-2−2i−2i2i2i1-11-12i−2i2i−2i−2i2i2-2ii−i−i2-20000−2323−2i32i300-11−ii3−33−3i3−i3i3−i30000000000000000000000000000000000000000
χ954-4-44-2-2−4i4i−4i4i4-422-222-22i2i−2i−2i1-11-12i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii3i−3i−3i3i-333-30000000000000000000000000000000000000000
χ964-4-44-2-2−4i4i−4i4i4-422-222-22i2i−2i−2i1-11-12i−2i2i−2i2i−2i-22−i−iii-2200000000001-1−ii−3i3i3i−3i3-3-330000000000000000000000000000000000000000
χ9788-8-88-4000000-8-4-88440000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-44-44443−4343−432-2-2200000000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-44-444−4343−43432-2-220000000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-400000084-8-8-440000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4000000-4444-44−4i34i34i3−4i322-2-2000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4000000-4444-444i3−4i3−4i34i322-2-200000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000

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