Finite Group Databasebeta

← Group #11863733

Character table — Group #11863733

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1111111-1-1-111-1111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1111111-1-1-111-1
χ6111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111111111111111-1-1111111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-11111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-11
χ8111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1
χ9222222-2-2222222200222-2-2-20000-222222200-2-20000-200-2-20000000000000000222222-2-2222222200222-2-2-20000-222222200-2-20000-200-2-20000000000000000
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χ1122222-12222-1-12-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000000000022222-12222-1-12-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
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χ322-22-22-12-2-2-2112-1-12-211-1-2-11-11-11200i3−i3i3−i32-2-11-11-11000i3−i3i3−i3−i3i30000000000002-22-22-12-2-2-2112-1-12-211-1-2-11-11-11200i3−i3i3−i32-2-11-11-11000i3−i3i3−i3−i3i3000000000000
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χ352-22-22-1-22-2-2112-1-10011-121-1−i3i3i3−i3-200−i3i3−i3i3001-1−i3i3i3−i302-2i3−i3-11-110000000000002-22-22-1-22-2-2112-1-10011-121-1−i3i3i3−i3-200−i3i3−i3i3001-1−i3i3i3−i302-2i3−i3-11-11000000000000
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χ70111111111111111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-111111-1
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χ72222222-2-2222222200222-2-2-20000-222222200-2-20000-200-2-20000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-200-2-2-222200002-2-2-2-2-2-200220000200220000000000000000
χ73222222-2-2222222200222-2-2-20000-2-2-2-2-2-2-200-2-20000200220000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-200-2-2-22220000222222200220000-200-2-20000000000000000
χ7422222-12222-1-12-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000000-2-2-2-2-21-2-2-2-211-211-2-2111-2111111-2-2-21111-2-2111111-2-2-2111111000000000000
χ7522222-12222-1-12-1-122-1-1-12-1-1-1-1-1-12-2-2111122-1-1-1-1-1-1-2-2-2111111000000000000-2-2-2-2-21-2-2-2-211-211-2-2111-2111111-222-1-1-1-1-2-2111111222-1-1-1-1-1-1000000000000
χ7622222-12222-1-12-1-1-2-2-1-1-12-1-11111222-1-1-1-1-2-2-1-111112-2-2-1-11111000000000000-2-2-2-2-21-2-2-2-211-21122111-211-1-1-1-1-2-2-211112211-1-1-1-1-22211-1-1-1-1000000000000
χ7722222-12222-1-12-1-1-2-2-1-1-12-1-111112-2-21111-2-2-1-11111-22211-1-1-1-1000000000000-2-2-2-2-21-2-2-2-211-21122111-211-1-1-1-1-222-1-1-1-12211-1-1-1-12-2-2-1-11111000000000000
χ7822222-1-2-222-1-12-1-100-1-1-1-211−i3−i3i3i3-222-1-1-1-10011−i3−i3i3i3-20011−i3−i3i3i3000000000000-2-2-2-2-2122-2-211-211001112-1-1i3i3−i3−i32-2-2111100-1-1i3i3−i3−i3200-1-1i3i3−i3−i3000000000000
χ7922222-1-2-222-1-12-1-100-1-1-1-211−i3−i3i3i3-2-2-211110011−i3−i3i3i3200-1-1i3i3−i3−i3000000000000-2-2-2-2-2122-2-211-211001112-1-1i3i3−i3−i3222-1-1-1-100-1-1i3i3−i3−i3-20011−i3−i3i3i3000000000000
χ8022222-1-2-222-1-12-1-100-1-1-1-211i3i3−i3−i3-222-1-1-1-10011i3i3−i3−i3-20011i3i3−i3−i3000000000000-2-2-2-2-2122-2-211-211001112-1-1−i3−i3i3i32-2-2111100-1-1−i3−i3i3i3200-1-1−i3−i3i3i3000000000000
χ8122222-1-2-222-1-12-1-100-1-1-1-211i3i3−i3−i3-2-2-211110011i3i3−i3−i3200-1-1−i3−i3i3i3000000000000-2-2-2-2-2122-2-211-211001112-1-1−i3−i3i3i3222-1-1-1-100-1-1−i3−i3i3i3-20011i3i3−i3−i3000000000000
χ822222-1222-1-122-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-100000000022-1-1-1-12-1-1000-2-2-2-21-2-2-211-2-21-21-2-21111-2-2-2-2-2-2100000011111111000000000-2-21111-211000
χ832222-1222-1-122-12-122-1-1-1-1222222-1000000-1-1-1-1-1-1-1-1000000000-2-21111-211000-2-2-2-21-2-2-211-2-21-21-2-21111-2-2-2-2-2-210000001111111100000000022-1-1-1-12-1-1000
χ842222-1222-1-122-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-1111100000000022-1-1-1-1-211000-2-2-2-21-2-2-211-2-21-21221111-2-222221000000-1-111-1-1-1-1000000000-2-211112-1-1000
χ852222-1222-1-122-12-1-2-2-1-1-1-122-2-2-2-2-100000011-1-11111000000000-2-211112-1-1000-2-2-2-21-2-2-211-2-21-21221111-2-222221000000-1-111-1-1-1-100000000022-1-1-1-1-211000
χ8622-2-222002-22-2-2-22002-2-2000000002i−2i2i2i−2i−2i00000000000000000−i2i2−i2−i2i2i20002−20-2-222-2-200-22-2222-200-22200000000−2i2i−2i−2i2i2i00000000000000000i2−i2i2i2−i2−i2000−220
χ8722-2-222002-22-2-2-22002-2-2000000002i−2i2i2i−2i−2i00000000000000000i2−i2i2i2−i2−i2000−220-2-222-2-200-22-2222-200-22200000000−2i2i−2i−2i2i2i00000000000000000−i2i2−i2−i2i2i20002−20
χ8822-2-222002-22-2-2-22002-2-200000000−2i2i−2i−2i2i2i00000000000000000−i2i2−i2−i2i2i2000−220-2-222-2-200-22-2222-200-222000000002i−2i2i2i−2i−2i00000000000000000i2−i2i2i2−i2−i20002−20
χ8922-2-222002-22-2-2-22002-2-200000000−2i2i−2i−2i2i2i00000000000000000i2−i2i2i2−i2−i20002−20-2-222-2-200-22-2222-200-222000000002i−2i2i2i−2i−2i00000000000000000−i2i2−i2−i2i2i2000−220
χ902-22-2222-2-2-2-2-22222-2-2-22-22-22-22-220000002-22-22-22-2000000000000000000000-22-22-2-2-222222-2-2-2-2222-22-22-22-22-2000000-22-22-22-22000000000000000000000
χ912-22-2222-2-2-2-2-2222-22-2-22-22-2-22-222000000-222-2-22-22000000000000000000000-22-22-2-2-222222-2-2-22-222-22-222-22-2-20000002-2-222-22-2000000000000000000000
χ922-22-222-22-2-2-2-222200-2-222-220000-200000000-22000002-2002-22-2000000000000-22-22-2-22-22222-2-2-20022-2-22-200002000000002-200000-2200-22-22000000000000
χ932-22-222-22-2-2-2-222200-2-222-220000-200000000-2200000-2200-22-22000000000000-22-22-2-22-22222-2-2-20022-2-22-200002000000002-2000002-2002-22-2000000000000
χ942-22-22-12-2-2-2112-1-12-211-1-2-11-11-11200−i3i3−i3i32-2-11-11-11000−i3i3−i3i3i3−i3000000000000-22-22-21-2222-1-1-211-22-1-1121-11-11-1-200i3−i3i3−i3-221-11-11-1000i3−i3i3−i3−i3i3000000000000
χ952-22-22-12-2-2-2112-1-12-211-1-2-11-11-11200i3−i3i3−i32-2-11-11-11000i3−i3i3−i3−i3i3000000000000-22-22-21-2222-1-1-211-22-1-1121-11-11-1-200−i3i3−i3i3-221-11-11-1000−i3i3−i3i3i3−i3000000000000
χ962-22-22-12-2-2-2112-1-1-2211-1-2-111-11-1200−i3i3−i3i3-22-111-11-1000−i3i3i3−i3−i3i3000000000000-22-22-21-2222-1-1-2112-2-1-1121-1-11-11-200i3−i3i3−i32-21-1-11-11000i3−i3−i3i3i3−i3000000000000
χ972-22-22-12-2-2-2112-1-1-2211-1-2-111-11-1200i3−i3i3−i3-22-111-11-1000i3−i3−i3i3i3−i3000000000000-22-22-21-2222-1-1-2112-2-1-1121-1-11-11-200−i3i3−i3i32-21-1-11-11000−i3i3i3−i3−i3i3000000000000
χ982-22-22-1-22-2-2112-1-10011-121-1−i3i3i3−i3-200−i3i3−i3i3001-1−i3i3i3−i302-2i3−i3-11-11000000000000-22-22-212-222-1-1-21100-1-11-2-11i3−i3−i3i3200i3−i3i3−i300-11i3−i3−i3i30-22−i3i31-11-1000000000000
χ992-22-22-1-22-2-2112-1-10011-121-1−i3i3i3−i3-200i3−i3i3−i3001-1−i3i3i3−i30-22−i3i31-11-1000000000000-22-22-212-222-1-1-21100-1-11-2-11i3−i3−i3i3200−i3i3−i3i300-11i3−i3−i3i302-2i3−i3-11-11000000000000
χ1002-22-22-1-22-2-2112-1-10011-121-1i3−i3−i3i3-200−i3i3−i3i3001-1i3−i3−i3i30-22i3−i31-11-1000000000000-22-22-212-222-1-1-21100-1-11-2-11−i3i3i3−i3200i3−i3i3−i300-11−i3i3i3−i302-2−i3i3-11-11000000000000
χ1012-22-22-1-22-2-2112-1-10011-121-1i3−i3−i3i3-200i3−i3i3−i3001-1i3−i3−i3i302-2−i3i3-11-11000000000000-22-22-212-222-1-1-21100-1-11-2-11−i3i3i3−i3200−i3i3−i3i300-11−i3i3i3−i30-22i3−i31-11-1000000000000
χ1022-22-2-122-211-2-2-12-12-211-112-22-22-2-1000000-11-11-11-1100000000000−i3i3−i3i30−i3i3000-22-221-2-22-1-1221-21-22-1-11-1-22-22-2210000001-11-11-11-100000000000i3−i3i3−i30i3−i3000
χ1032-22-2-122-211-2-2-12-12-211-112-22-22-2-1000000-11-11-11-1100000000000i3−i3i3−i30i3−i3000-22-221-2-22-1-1221-21-22-1-11-1-22-22-2210000001-11-11-11-100000000000−i3i3−i3i30−i3i3000
χ1042-22-2-122-211-2-2-12-1-2211-112-2-22-22-10000001-1-111-11-100000000000−i3i3−i3i30i3−i3000-22-221-2-22-1-1221-212-2-1-11-1-222-22-21000000-111-1-11-1100000000000i3−i3i3−i30−i3i3000
χ1052-22-2-122-211-2-2-12-1-2211-112-2-22-22-10000001-1-111-11-100000000000i3−i3i3−i30−i3i3000-22-221-2-22-1-1221-212-2-1-11-1-222-22-21000000-111-1-11-1100000000000−i3i3−i3i30i3−i3000
χ1064444-24-4-4-2-244-24-200-2-2-22-4-40000200000000220000000000000000000000000-4-4-4-42-44422-4-42-4200222-2440000-200000000-2-20000000000000000000000000
χ1074444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000-4-4-4-422-4-4222222-1-4-4-1-1-12222222200000022-1-1-1-1-1-1000000000000000000000
χ1084444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-20000002211-1-1-1-1000000000000000000000-4-4-4-422-4-4222222-144-1-1-1222-2-2-2-22000000-2-2-1-11111000000000000000000000
χ1094444-2-2-4-4-2-2-2-2-2-2100111222−2i3−2i32i32i3200000000-1-1i3i3−i3−i3000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-22i32i3−2i3−2i3-20000000011−i3−i3i3i3000000000000000000000
χ1104444-2-2-4-4-2-2-2-2-2-21001112222i32i3−2i3−2i3200000000-1-1−i3−i3i3i3000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2−2i3−2i32i32i3-20000000011i3i3−i3−i3000000000000000000000
χ11144-4-44-2004-4-22-42-200-222000000004i−4i−2i−2i2i2i00000000000000000000000000000-4-444-4200-442-24-22002-2-200000000−4i4i2i2i−2i−2i00000000000000000000000000000
χ11244-4-44-2004-4-22-42-200-22200000000−4i4i2i2i−2i−2i00000000000000000000000000000-4-444-4200-442-24-22002-2-2000000004i−4i−2i−2i2i2i00000000000000000000000000000
χ11344-4-4-2400-224-42-4-200-2220000000000000000000000000000000−2i22i2i2i2−i2−i2000000-4-4442-4002-2-44-242002-2-200000000000000000000000000000002i2−2i2−i2−i2i2i2000000
χ11444-4-4-2400-224-42-4-200-22200000000000000000000000000000002i2−2i2−i2−i2i2i2000000-4-4442-4002-2-44-242002-2-20000000000000000000000000000000−2i22i2i2i2−i2−i2000000
χ1154-44-4-24-4422-4-4-24-20022-2-2-4400002000000002-20000000000000000000000000-44-442-44-4-2-2442-4200-2-2224-40000-200000000-220000000000000000000000000
χ1164-44-4-2-24-42222-2-214-4-1-112-22-22-22-2000000-221-11-11-1000000000000000000000-44-4422-44-2-2-2-222-1-4411-1-22-22-22-220000002-2-11-11-11000000000000000000000
χ1174-44-4-2-24-42222-2-21-44-1-112-222-22-2-20000002-21-1-11-11000000000000000000000-44-4422-44-2-2-2-222-14-411-1-22-2-22-222000000-22-111-11-1000000000000000000000
χ1184-44-4-2-2-442222-2-2100-1-11-22-2−2i32i32i3−2i3200000000-11i3−i3−i3i3000000000000000000000-44-44224-4-2-2-2-222-10011-12-222i3−2i3−2i32i3-2000000001-1−i3i3i3−i3000000000000000000000
χ1194-44-4-2-2-442222-2-2100-1-11-22-22i3−2i3−2i32i3200000000-11−i3i3i3−i3000000000000000000000-44-44224-4-2-2-2-222-10011-12-22−2i32i32i3−2i3-2000000001-1i3−i3−i3i3000000000000000000000
χ1204-4-444400-44-44-4-4400-44-40000000000000000000000000000000000000000000-444-4-4-4004-44-444-4004-440000000000000000000000000000000000000000000
χ1214-4-444-200-442-2-42-2002-22000000000023−23−232300000000000000000000000000000-444-4-42004-4-224-2200-22-20000000000−232323−2300000000000000000000000000000
χ1224-4-444-200-442-2-42-2002-220000000000−232323−2300000000000000000000000000000-444-4-42004-4-224-2200-22-2000000000023−23−232300000000000000000000000000000
χ1234-4-44-24002-2-442-4-2002-220000000000000000000000000000000006−6−66000000-444-42-400-224-4-24200-22-2000000000000000000000000000000000−666−6000000
χ1244-4-44-24002-2-442-4-2002-22000000000000000000000000000000000−666−6000000-444-42-400-224-4-24200-22-20000000000000000000000000000000006−6−66000000
χ12588-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000-8-88844004-44-4-4-4-200-2220000000000000000000000000000000000000000000
χ1268-8-88-4-4004-44-444200-22-20000000000000000000000000000000000000000000-888-84400-44-44-4-4-2002-220000000000000000000000000000000000000000000

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