Finite Group Databasebeta

← Group #11873378

Character table — Group #11873378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order122233444444666666366612121212121212121212121288888888888888884412121212121222222424242424242424242424242424242412121212121212124444442222666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-111-1-111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111-1-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-11-11-11-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-22222000000000000000000000000-2-222-2-20000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-2-2-2-2-200000000000000000000000022-2-2220000000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2222222000000000000000000000000-2-2-2-2220000000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-222-2-2-2-20000000000000000000000002222-2-20000000000
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χ2422222-122222222-1-12-1-1-1-1-122-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000011111111-21-211111000000002200-1-100
χ2522222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-22-2-1-11111000000000000-1-1-1-111112-1-21-1-111000000002-200-1100
χ2622222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-1000000002222-2-2-2-2-22-1-11111000000000000-1-1-1-11111-212-111-1-100000000-22001-100
χ2722222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-222222-2-1-111110000000000001111-1-1-1-12-1-21-1-11100000000-22001-100
χ2822222-1-2-2-2-22222-1-12-1-1-1-1-1-2-211-2-21122-1-100000000-2-2-2-22222-22-1-111110000000000001111-1-1-1-1-212-111-1-1000000002-200-1100
χ292222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122222222220000000022-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000-12-12-1-1-1-10000002200-1-10000
χ302222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-1222222222200000000-2-2-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000001-21-21111000000-2-200110000
χ312222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-100001111111100000000-12-12-1-1-1-1000000-2-200110000
χ322222-12222222-1-122-12-1-1-1-1-1-122-1-122-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-1-1000011111111000000001-21-211110000002200-1-10000
χ332222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222222-2-2-2-2000000002-2-1-111110000-1-1-1-1111100000000-121-2-1-1110000002-200-110000
χ342222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-1222222-2-2-2-200000000-22-1-111110000-1-1-1-11111000000001-2-1211-1-1000000-22001-10000
χ352222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-2-2-2-22222000000002-2-1-1111100001111-1-1-1-100000000-121-2-1-111000000-22001-10000
χ362222-12-2-2-2-222-1-122-12-1-1-1-111-2-211-2-2-1-122-2-2-2-2222200000000-22-1-1111100001111-1-1-1-1000000001-2-1211-1-10000002-200-110000
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χ3822-2-22200002-22-22-2-2-222-2-2000000002-22-200002i2i−2i−2i0000−2i−2i2i2i002-20000-2-22200002i2i−2i−2i0000−2i−2i2i2i00000000-2200000000000000
χ3922-2-22200002-22-22-2-2-222-2-2000000002-22-20000−2i−2i2i2i00002i2i−2i−2i002-20000-2-2220000−2i−2i2i2i00002i2i−2i−2i00000000-2200000000000000
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χ4322-2-2220000-222-22-2-2-222-2-200000000-22-22−2i−2i2i2i00002i2i−2i−2i000000-220000-2-222−2i−2i2i2i00002i2i−2i−2i0000000000002-200000000000000
χ4422-2-2220000-222-22-2-2-222-2-200000000-22-22−2i−2i2i2i0000−2i−2i2i2i000000-22000022-2-2−2i−2i2i2i0000−2i−2i2i2i000000000000-2200000000000000
χ452-22-2222-20000-22-22-2-22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-2002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000002-2000000000000
χ462-22-2222-20000-22-22-2-22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002-200-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000-22000000000000
χ472-22-2222-20000-22-22-2-22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002-200-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000-22000000000000
χ482-22-2222-20000-22-22-2-22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-2002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000002-2000000000000
χ492-22-222-220000-22-22-2-22-22-2-22-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000-22002-22-2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000-22000000000000
χ502-22-222-220000-22-22-2-22-22-2-22-2200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000-2200-22-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000002-2000000000000
χ512-22-222-220000-22-22-2-22-22-2-22-2200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000-2200-22-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000002-2000000000000
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χ532-2-2222002-200-2-2-2-2222-2-2200002-22-200002−2−222−2−222−2−222−2−220000002-22-2-222−2−222−2−222−2−222−2−220000000000002-20000000000
χ542-2-2222002-200-2-2-2-2222-2-2200002-22-200002−2−222−2−22−222−2−222−20000002-2-222-22−2−222−2−22−222−2−222−2000000000000-220000000000
χ552-2-2222002-200-2-2-2-2222-2-2200002-22-20000−222−2−222−22−2−222−2−220000002-2-222-2−222−2−222−22−2−222−2−22000000000000-220000000000
χ562-2-2222002-200-2-2-2-2222-2-2200002-22-20000−222−2−222−2−222−2−222−20000002-22-2-22−222−2−222−2−222−2−222−20000000000002-20000000000
χ572-2-222200-2200-2-2-2-2222-2-220000-22-2200002−2−22−222−22−2−22−222−2000000-222-2-222−2−22−222−22−2−22−222−2000000000000-220000000000
χ582-2-222200-2200-2-2-2-2222-2-220000-22-2200002−2−22−222−2−222−22−2−22000000-22-222-22−2−22−222−2−222−22−2−220000000000002-20000000000
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χ998-88-8-4-48-800004-44-4442-22-2-44-4400000000000000000000000000002-20000000000000000000000000000000000000000000000
χ1008-88-8-4-4-8800004-44-4442-22-24-44-40000000000000000000000000000-220000000000000000000000000000000000000000000000
χ1018-8-88-4-4008-8004444-4-42-2-220000-44-44000000000000000000000000002-200000000000000000000000000000000000000000000
χ1028-8-88-4-400-88004444-4-42-2-2200004-44-400000000000000000000000000-2200000000000000000000000000000000000000000000

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