Finite Group Databasebeta

← Group #11872164

Character table — Group #11872164

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12223344444466666612121212366612121212121212121212121212124412121212121212121212121212121212121212122224444488882424242424242424246666612121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11-1-111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-11-1-1-11111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-111-1111-1-1-11-1-1-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11-1-11-1-1-1111-111-1-111-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1111-1111-1-111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111111-11-1-1-1-1-111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1111-1-1-11-1-1-1111-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-11-1-1-1111-1111-1-1-1-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-1-1-11-11111111-1-1-11
χ1722222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-20000000000-2-2-2-200000000002-200-220000000000000000200-2-200200000000
χ1822222222-2-2-2-222222222222222-2-222-2-2-2-22222-2-20000000000-2-2-2-20000000000-22002-20000000000000000-2002200-200000000
χ19222222-2-222-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-20000000000-2-22200000000002-2002-200000000000000002002-200-200000000
χ20222222-2-222-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-20000000000-2-2220000000000-2200-220000000000000000-200-2200200000000
χ2122222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002200-1-1-1-1-100-1-1-1000000
χ2222222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2001111100111000000
χ2322222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-1-1-1-11111111100220022000000000000-2-200-111-1-100-111000000
χ2422222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-21111-1-1-1-11111111100-2-200-2-200000000000022001-1-111001-1-1000000
χ2522222-122-2-2-2-222-1-12-12222-1-1-1-1-2-2-1-11111-1-1-1-1-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3002-200-220000000000000000-1−i3i31100-1−i3i3000000
χ2622222-122-2-2-2-222-1-12-12222-1-1-1-1-2-2-1-11111-1-1-1-1-2-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i300-22002-200000000000000001i3−i3-1-1001i3−i3000000
χ2722222-122-2-2-2-222-1-12-12222-1-1-1-1-2-2-1-11111-1-1-1-1-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3002-200-220000000000000000-1i3−i31100-1i3−i3000000
χ2822222-122-2-2-2-222-1-12-12222-1-1-1-1-2-2-1-11111-1-1-1-1-2-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i300-22002-200000000000000001−i3i3-1-1001−i3i3000000
χ2922222-1-2-222-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3002-2002-20000000000000000-1i3−i3-11001−i3i3000000
χ3022222-1-2-222-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i300-2200-2200000000000000001−i3i31-100-1i3−i3000000
χ3122222-1-2-222-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3002-2002-20000000000000000-1−i3i3-11001i3−i3000000
χ3222222-1-2-222-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i300-2200-2200000000000000001i3−i31-100-1−i3i3000000
χ3322222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-211-1-1111111222-222-2-2-1-111-1-111-1-1-1-11111002200-2-2000000000000-2200-1111-1001-1-1000000
χ3422222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-211-1-1111111222-222-2-2-1-111-1-111-1-1-1-1111100-2-200220000000000002-2001-1-1-1100-111000000
χ3522222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-211-1-111111122-22-2-22211-1-1-1-1111111-1-1-1-1002200-2-20000000000002-200-1-1-11-100111000000
χ3622222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-211-1-111111122-22-2-22211-1-1-1-1111111-1-1-1-100-2-20022000000000000-2200111-1100-1-1-1000000
χ372222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-100000-1-1000000000
χ382222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111100110000011000000000
χ392222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-21111-2-2-2-2-1-1-1-11111111122002200-2-2-2-21111111100-1-100000-1-1000000000
χ402222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-21111-2-2-2-2-1-1-1-111111111-2-200-2-2002222-1-1-1-1-1-1-1-100110000011000000000
χ412222-12-2-2-2-222-1-122-121111-1-1-1-111-2-222-2-21111-1-12-2-1-11122-2-2-1-111-1-1-1-111112200-2-20022-2-2-1-1-1-1111100-1-10000011000000000
χ422222-12-2-2-2-222-1-122-121111-1-1-1-111-2-222-2-21111-1-12-2-1-11122-2-2-1-111-1-1-1-11111-2-2002200-2-2221111-1-1-1-1001100000-1-1000000000
χ432222-12-2-2-2-222-1-122-121111-1-1-1-111-2-222-2-21111-1-1-2211-1-1-2-222-1-1111111-1-1-1-12200-2-200-2-2221111-1-1-1-100-1-10000011000000000
χ442222-12-2-2-2-222-1-122-121111-1-1-1-111-2-222-2-21111-1-1-2211-1-1-2-222-1-1111111-1-1-1-1-2-200220022-2-2-1-1-1-11111001100000-1-1000000000
χ4522-2-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i2-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i2-200000000002-22i−2i0000000000000000000000000000000000000000002-22i−2i00
χ4622-2-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i2-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i2-200000000002-22i−2i000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i2-22-2−2i2i2i−2i-22−2i2i2i2i−2i−2i-220000000000-22−2i2i000000002-2002i−2i00000000000000002-2000002i−2i000000000
χ4822-2-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i2-22-2−2i2i2i−2i-22−2i2i2i2i−2i−2i-220000000000-22−2i2i00000000-2200−2i2i0000000000000000-2200000−2i2i000000000
χ4922-2-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i2-22-22i−2i−2i2i-222i−2i−2i−2i2i2i-220000000000-222i−2i000000002-200−2i2i00000000000000002-200000−2i2i000000000
χ5022-2-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i2-22-22i−2i−2i2i-222i−2i−2i−2i2i2i-220000000000-222i−2i00000000-22002i−2i0000000000000000-22000002i−2i000000000
χ5122-2-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i2-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i2-200000000002-2−2i2i0000000000000000000000000000000000000000002-2−2i2i00
χ5222-2-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i2-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i2-200000000002-2−2i2i000000000000000000000000000000000000000000-222i−2i00
χ5322-2-2-122i−2i−2i2i-22-11-221-2−i−iii-11-11i−i2i−2i-22−2i2i−i−iii1-100−i3i33−300001-1i−i−i3i3−i3i33−33−32-2002i−2i000000−i3−i3i3i333−3−300-1100000−ii000000000
χ5422-2-2-122i−2i−2i2i-22-11-221-2−i−iii-11-11i−i2i−2i-22−2i2i−i−iii1-100−i3i33−300001-1i−i−i3i3−i3i33−33−3-2200−2i2i000000i3i3−i3−i3−3−333001-100000i−i000000000
χ5522-2-2-122i−2i−2i2i-22-11-221-2−i−iii-11-11i−i2i−2i-22−2i2i−i−iii1-100i3−i3−3300001-1i−ii3−i3i3−i3−33−332-2002i−2i000000i3i3−i3−i3−3−33300-1100000−ii000000000
χ5622-2-2-122i−2i−2i2i-22-11-221-2−i−iii-11-11i−i2i−2i-22−2i2i−i−iii1-100i3−i3−3300001-1i−ii3−i3i3−i3−33−33-2200−2i2i000000−i3−i3i3i333−3−3001-100000i−i000000000
χ5722-2-2-12−2i2i2i−2i-22-11-221-2ii−i−i-11-11−ii−2i2i-222i−2iii−i−i1-100−i3i3−3300001-1−ii−i3i3−i3i3−33−332-200−2i2i000000−i3−i3i3i3−3−33300-1100000i−i000000000
χ5822-2-2-12−2i2i2i−2i-22-11-221-2ii−i−i-11-11−ii−2i2i-222i−2iii−i−i1-100−i3i3−3300001-1−ii−i3i3−i3i3−33−33-22002i−2i000000i3i3−i3−i333−3−3001-100000−ii000000000
χ5922-2-2-12−2i2i2i−2i-22-11-221-2ii−i−i-11-11−ii−2i2i-222i−2iii−i−i1-100i3−i33−300001-1−iii3−i3i3−i33−33−32-200−2i2i000000i3i3−i3−i333−3−300-1100000i−i000000000
χ6022-2-2-12−2i2i2i−2i-22-11-221-2ii−i−i-11-11−ii−2i2i-222i−2iii−i−i1-100i3−i33−300001-1−iii3−i3i3−i33−33−3-22002i−2i000000−i3−i3i3i3−3−333001-100000−ii000000000
χ614444-2444-4-4-4-4-2-244-24-2-2-2-2-2-2-2-22244-4-4-4-4-2-2-2-22200000000002222000000000000000000000000000000000000000000000000
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χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2111122-2-22222111122000000−2i32i3−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2111122-2-222221111220000002i3−2i32i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
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χ704444-2-2-4-4-4-444-2-2-2-2-2-2222211112222-2-222-1-1-1-1-2-2-4422-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000
χ7144-4-44-24i−4i4i−4i4-44-42-2-424i4i−4i−4i-22-224i−4i−2i2i-22−2i2i−2i−2i2i2i4-40000000000-22−2i2i000000000000000000000000000000000000000000000000
χ7244-4-44-24i−4i−4i4i-444-42-2-424i4i−4i−4i-22-22−4i4i−2i2i2-22i−2i−2i−2i2i2i-4400000000002-22i−2i000000000000000000000000000000000000000000000000
χ7344-4-44-2−4i4i4i−4i-444-42-2-42−4i−4i4i4i-22-224i−4i2i−2i2-2−2i2i2i2i−2i−2i-4400000000002-2−2i2i000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-44-42-2-42−4i−4i4i4i-22-22−4i4i2i−2i-222i−2i2i2i−2i−2i4-40000000000-222i−2i000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-22-442-4−2i−2i2i2i-22-22−2i2i4i−4i4-44i−4i−2i−2i2i2i-220000000000-22−2i2i000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-22-442-42i2i−2i−2i-22-222i−2i−4i4i4-4−4i4i2i2i−2i−2i-220000000000-222i−2i000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i1-11-1−2i2i−2i2i-22−2i2iii−i−i-2200000000001-1i−i3-3-333i−3i−3i3i0000000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i1-11-1−2i2i−2i2i-22−2i2iii−i−i-2200000000001-1i−i-333-3−3i3i3i−3i0000000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i1-11-12i−2i−2i2i2-22i−2iii−i−i2-200−2i32i323−230000-11−iii3−i3i3−i3−33−330000000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i1-11-12i−2i−2i2i2-22i−2iii−i−i2-2002i3−2i3−23230000-11−ii−i3i3−i3i33−33−30000000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i1-11-1−2i2i2i−2i2-2−2i2i−i−iii2-200−2i32i3−23230000-11i−ii3−i3i3−i33−33−30000000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i1-11-1−2i2i2i−2i2-2−2i2i−i−iii2-2002i3−2i323−230000-11i−i−i3i3−i3i3−33−330000000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i1-11-12i−2i2i−2i-222i−2i−i−iii-2200000000001-1−ii3-3-33−3i3i3i−3i0000000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i1-11-12i−2i2i−2i-222i−2i−i−iii-2200000000001-1−ii-333-33i−3i−3i3i0000000000000000000000000000000000000000
χ854-44-444000000-4-44-44-4000044-4-400000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ864-44-444000000-4-44-44-4000044-4-4000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ874-44-4-24000000224-4-2-4−2i32i3−2i32i3-2-22200000000−2i32i3−2i32i300000000000000000000000000000000−2i22i200i2−i2i2−i26−66−600000000000000000000
χ884-44-4-24000000224-4-2-4−2i32i3−2i32i3-2-22200000000−2i32i3−2i32i3000000000000000000000000000000002i2−2i200−i2i2−i2i2−66−6600000000000000000000
χ894-44-4-24000000224-4-2-42i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i300000000000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000
χ904-44-4-24000000224-4-2-42i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i3000000000000000000000000000000002i2−2i200−i2i2−i2i26−66−600000000000000000000
χ914-4-4444000000-44-4-4-4400004-4-44000000000000000000000000000000000000000000000022−22000022−22−222200000000000000000000
χ924-4-4444000000-44-4-4-4400004-4-440000000000000000000000000000000000000000000000−22220000−222222−2200000000000000000000
χ934-4-44-240000002-2-4-42423−23−2323-222-20000000023−23−2323000000000000000000000000000000000022−226−6−66−222−200000000000000000000
χ944-4-44-240000002-2-4-42423−23−2323-222-20000000023−23−23230000000000000000000000000000000000−2222−666−62−2−2200000000000000000000
χ954-4-44-240000002-2-4-424−232323−23-222-200000000−232323−23000000000000000000000000000000000022−22−666−6−222−200000000000000000000
χ964-4-44-240000002-2-4-424−232323−23-222-200000000−232323−230000000000000000000000000000000000−22226−6−662−2−2200000000000000000000
χ978-88-88-4000000-8-8-44840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400000044-44-44−4i34i3−4i34i322-2-2000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400000044-44-444i3−4i34i3−4i322-2-200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-8844-8-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004-4444-443−43−43432-2-2200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004-4444-4−434343−432-2-220000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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