Finite Group Databasebeta

← Group #11872831

Character table — Group #11872831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121244121212121212121212121212121212121212121222224444888824242424242424246666881212121224242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-11-11-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-111-1-111-1-1-11-11-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-111-11-11-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111111-1-1111-11-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1-1-1111-11-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1111-1-1-1-111-11-111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1111-1-1-11111-1-1-11-111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1111111-1-11-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-2220000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-20000000000-2-222000000000000000000000000000000000000000000-222-200
χ19222222-2-222-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000022-2-200
χ20222222-2-222-2-22222222222222222-2-2-2-22222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000-2-22200
χ2122222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200222222-1-1-1-1-1-1-1-100-1-100-1-1000000000000
χ2222222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-21111111100110011000000000000
χ2322222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-211-2-211-2-2-1-1-1-11111111100220022-2-2-2-21111111100-1-100-1-1000000000000
χ2422222-122222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-2-211-2-211-2-2-1-1-1-11111111100-2-200-2-22222-1-1-1-1-1-1-1-100110011000000000000
χ2522222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-12-2-1-1-2-21122-1-111-1-1-1-11111002200-2-222-2-2-1-1-1-1111100-1-10011000000000000
χ2622222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-12-2-1-1-2-21122-1-111-1-1-1-1111100-2-20022-2-2221111-1-1-1-1001100-1-1000000000000
χ2722222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-1-221122-1-1-2-2-1-1111111-1-1-1-1002200-2-2-2-2221111-1-1-1-100-1-10011000000000000
χ2822222-1-2-2-2-22222-1-1-121111-1-1-1-1-2-211-2-2111122-1-1-221122-1-1-2-2-1-1111111-1-1-1-100-2-2002222-2-2-1-1-1-11111001100-1-1000000000000
χ292222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200000000000000-1-1002200-1-1-1-1-1-1000000
χ302222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000000000001100-2-200111111000000
χ312222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-11111111122002200000000000000-1-100-2-200-1-11111000000
χ322222-12222222-1-1222-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-111111111-2-200-2-2000000000000001100220011-1-1-1-1000000
χ332222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-22211-2-2-1-1-1-111-1-1-1-111112200-2-200000000000000-1-1002-20011-1-111000000
χ342222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-1222-22211-2-2-1-1-1-111-1-1-1-11111-2-20022000000000000001100-2200-1-111-1-1000000
χ352222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-122-22-2-2-1-12211-1-1111111-1-1-1-12200-2-200000000000000-1-100-22001111-1-1000000
χ362222-12-2-2-2-222-1-1222-1-2-2-2-2-1-1-1-111-2-2111111-1-122-22-2-2-1-12211-1-1111111-1-1-1-1-2-200220000000000000011002-200-1-1-1-111000000
χ372-22-2222i−2i2i−2i2-2-222-2-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i00000000002-2002i−2i000000000000002-2002i−2i000000000000
χ382-22-2222i−2i2i−2i2-2-222-2-2-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-200000000002-22i−2i0000000000-2200−2i2i00000000000000-2200−2i2i000000000000
χ392-22-2222i−2i−2i2i-22-222-2-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i000000002-2002i−2i000000000000002-20000002i−2i0000000000
χ402-22-2222i−2i−2i2i-22-222-2-2-2−2i−2i2i2i2-22-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-220000000000-222i−2i00000000-2200−2i2i00000000000000-22000000−2i2i0000000000
χ412-22-222−2i2i2i−2i-22-222-2-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i000000002-200−2i2i000000000000002-2000000−2i2i0000000000
χ422-22-222−2i2i2i−2i-22-222-2-2-22i2i−2i−2i2-22-22i−2i−2i2i−2i2i2i2i−2i−2i-22-220000000000-22−2i2i00000000-22002i−2i00000000000000-220000002i−2i0000000000
χ432-22-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i00000000002-200−2i2i000000000000002-200−2i2i000000000000
χ442-22-222−2i2i−2i2i2-2-222-2-2-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-200000000002-2−2i2i0000000000-22002i−2i00000000000000-22002i−2i000000000000
χ452-22-22-12i−2i2i−2i2-2-22-111-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-11003−300−i3i300-11−ii33−3−3−i3−i3i3i3002-2002i−2i000033−3−3−i3−i3i3i300-1100−ii000000000000
χ462-22-22-12i−2i2i−2i2-2-22-111-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-11003−300−i3i300-11−ii33−3−3−i3−i3i3i300-2200−2i2i0000−3−333i3i3−i3−i3001-100i−i000000000000
χ472-22-22-12i−2i2i−2i2-2-22-111-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-1100−3300i3−i300-11−ii−3−333i3i3−i3−i3002-2002i−2i0000−3−333i3i3−i3−i300-1100−ii000000000000
χ482-22-22-12i−2i2i−2i2-2-22-111-2−i−iii-11-112i−2i−ii2i−2i−i−iii2-2-1100−3300i3−i300-11−ii−3−333i3i3−i3−i300-2200−2i2i000033−3−3−i3−i3i3i3001-100i−i000000000000
χ492-22-22-1−2i2i−2i2i2-2-22-111-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-11003−300i3−i300-11i−i33−3−3i3i3−i3−i3002-200−2i2i000033−3−3i3i3−i3−i300-1100i−i000000000000
χ502-22-22-1−2i2i−2i2i2-2-22-111-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-11003−300i3−i300-11i−i33−3−3i3i3−i3−i300-22002i−2i0000−3−333−i3−i3i3i3001-100−ii000000000000
χ512-22-22-1−2i2i−2i2i2-2-22-111-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-1100−3300−i3i300-11i−i−3−333−i3−i3i3i3002-200−2i2i0000−3−333−i3−i3i3i300-1100i−i000000000000
χ522-22-22-1−2i2i−2i2i2-2-22-111-2ii−i−i-11-11−2i2ii−i−2i2iii−i−i2-2-1100−3300−i3i300-11i−i−3−333−i3−i3i3i300-22002i−2i000033−3−3i3i3−i3−i3001-100−ii000000000000
χ532-22-2-122i−2i−2i2i-221-12-2-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-220000−i3i3003−31-1−ii3−33−3−i3i3−i3i32-2002i−2i00000000000000-11000000−ii3−3−i3i3000000
χ542-22-2-122i−2i−2i2i-221-12-2-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-220000−i3i3003−31-1−ii3−33−3−i3i3−i3i3-2200−2i2i000000000000001-1000000i−i−33i3−i3000000
χ552-22-2-122i−2i−2i2i-221-12-2-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-220000i3−i300−331-1−ii−33−33i3−i3i3−i32-2002i−2i00000000000000-11000000−ii−33i3−i3000000
χ562-22-2-122i−2i−2i2i-221-12-2-21−2i−2i2i2i-11-11i−i2i−2i−iiii−i−i1-1-220000i3−i300−331-1−ii−33−33i3−i3i3−i3-2200−2i2i000000000000001-1000000i−i3−3−i3i3000000
χ572-22-2-12−2i2i2i−2i-221-12-2-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-220000−i3i300−331-1i−i−33−33−i3i3−i3i32-200−2i2i00000000000000-11000000i−i−33−i3i3000000
χ582-22-2-12−2i2i2i−2i-221-12-2-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-220000−i3i300−331-1i−i−33−33−i3i3−i3i3-22002i−2i000000000000001-1000000−ii3−3i3−i3000000
χ592-22-2-12−2i2i2i−2i-221-12-2-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-220000i3−i3003−31-1i−i3−33−3i3−i3i3−i32-200−2i2i00000000000000-11000000i−i3−3i3−i3000000
χ602-22-2-12−2i2i2i−2i-221-12-2-212i2i−2i−2i-11-11−ii−2i2ii−i−i−iii1-1-220000i3−i3003−31-1i−i3−33−3i3−i3i3−i3-22002i−2i000000000000001-1000000−ii−33−i3i3000000
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χ724444-2-2-4-4-4-444-2-2-2-2-2-222221111222222-1-1-1-1-2-2-2-2-4422-2-2-2-22211-1-1-1-1-1-111110000000000000000000000000000000000000000
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χ7644-4-44-2000000-4-42-22423−2323−23-222-200000023−2323−230000000000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000
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χ7844-4-44-2000000-4-42-224−2323−2323-222-2000000−2323−23230000000000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000
χ794-44-44-24i−4i−4i4i-44-44-222-42i2i−2i−2i-22-22−4i4i−2i2i4i−4i2i2i−2i−2i-442-200000000002-2−2i2i000000000000000000000000000000000000000000000000
χ804-44-44-2−4i4i4i−4i-44-44-222-4−2i−2i2i2i-22-224i−4i2i−2i−4i4i−2i−2i2i2i-442-200000000002-22i−2i000000000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-42-24-4-424i4i−4i−4i-22-22−2i2i4i−4i−2i2i−2i−2i2i2i-224-40000000000-22−2i2i000000000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-42-24-4-42−4i−4i4i4i-22-222i−2i−4i4i2i−2i2i2i−2i−2i-224-40000000000-222i−2i000000000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-42-2-2222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-220023−2300−2i32i3001-1i−i−3−333i3i3−i3−i30000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-42-2-2222−2i−2i2i2i1-11-1−2i2i−2i2i−2i2iii−i−i-22-2200−2323002i3−2i3001-1i−i33−3−3−i3−i3i3i30000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-442-2-22222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-20000−2i32i30023−23-11i−i−33−33i3−i3i3−i30000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-442-2-22222i2i−2i−2i1-11-12i−2i−2i2i−2i2i−i−iii2-22-200002i3−2i300−2323-11i−i3−33−3−i3i3−i3i30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-442-2-2222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-20000−2i32i300−2323-11−ii3−33−3i3−i3i3−i30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-442-2-2222−2i−2i2i2i1-11-1−2i2i2i−2i2i−2iii−i−i2-22-200002i3−2i30023−23-11−ii−33−33−i3i3−i3i30000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-220023−23002i3−2i3001-1−ii−3−333−i3−i3i3i30000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-42-2-22222i2i−2i−2i1-11-12i−2i2i−2i2i−2i−i−iii-22-2200−232300−2i32i3001-1−ii33−3−3i3i3−i3−i30000000000000000000000000000000000000000
χ914-4-44440000004-4-4-44-4000044-4-400000000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ924-4-44440000004-4-4-44-4000044-4-4000000000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ934-4-444-20000004-422-2-4−2i32i32i3−2i3-2-222000000−2i32i32i3−2i30000000000000000000000000000000000−2i22i200i2−i2−i2i26−6−6600000000000000000000
χ944-4-444-20000004-422-2-4−2i32i32i3−2i3-2-222000000−2i32i32i3−2i300000000000000000000000000000000002i2−2i200−i2i2i2−i2−666−600000000000000000000
χ954-4-444-20000004-422-2-42i3−2i3−2i32i3-2-2220000002i3−2i3−2i32i30000000000000000000000000000000000−2i22i200i2−i2−i2i2−666−600000000000000000000
χ964-4-444-20000004-422-2-42i3−2i3−2i32i3-2-2220000002i3−2i3−2i32i300000000000000000000000000000000002i2−2i200−i2i2i2−i26−6−6600000000000000000000
χ9788-8-8-4800000044-88-8-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000444-44-443−4343−432-2-22000000−2323−2323000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000444-44-4−4343−43432-2-2200000023−2323−23000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000000-44-8-8840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000-4444-44−4i34i34i3−4i322-2-20000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000-4444-444i3−4i3−4i34i322-2-2000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000

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