Finite Group Databasebeta

← Group #11874931

Character table — Group #11874931

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order1222334466666688883666121212122424242424242424444444448888888844121224242424222212121212121212122424242424242424121212121212121244888844441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-11-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-111-1-111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111111-1-111-1-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-11-11-11-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11-11-11-11-1-11
χ17222222-2-222222200002222-2-2-2-2000000002222-2-2-2-20000000000-2-200002222-2-2-2-222220000000000000000-2-200000000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2220000000000-2-20000-2-2-2-2-2-22222-2-200000000000000002200000000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22222-2-20000000000-2-20000-2-2-2-222-2-2-2-22200000000000000002200000000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-222220000000000-2-2000022222222-2-2-2-20000000000000000-2-200000000000000
χ2122222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-1002200220000222222-1-1-1-1-1-1000000-1-100-1-10000-1-1-1-12-12-1-1-1-1-1000000002200-1-100
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χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-222-1-1-1-1-1-1000000110011000011112-12-1-1-1-1-100000000-2-2001100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000011001100001111-21-211111000000002200-1-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-22-2-1-11111000000-1-100-1-1000011112-1-21-1-111000000002-200-1100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-2-22-1-11111000000-1-100-1-100001111-212-111-1-100000000-22001-100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-2000022222-2-1-111110000001100110000-1-1-1-12-1-21-1-11100000000-22001-100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-200002222-22-1-111110000001100110000-1-1-1-1-212-111-1-1000000002-200-1100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222220022002222000022-1-1-1-1-1-10000-1-100-1-100-1-1-1-10000-12-12-1-1-1-10000002200-1-10000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200220022220000-2-2-1-1-1-1-1-10000-1-100-1-100-1-1-1-100001-21-21111000000-2-200110000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-2000022-1-1-1-1-1-100001100110011110000-12-12-1-1-1-1000000-2-200110000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-20000-2-2-1-1-1-1-1-1000011001100111100001-21-211110000002200-1-10000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-200002-2-1-111110000-1-100-1-10011110000-121-2-1-1110000002-200-110000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-20000-22-1-111110000-1-100-1-100111100001-2-1211-1-1000000-22001-10000
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χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-2-20022220000-22-1-11111000011001100-1-1-1-100001-2-1211-1-10000002-200-110000
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χ3822-2-2222-222-2-2-2-200002-22-2-2-222000000000000000022-2-2-2-222002-20000-2-2220000000022-2-2-2-22200000000-2200000000000000
χ3922-2-2222-222-2-2-2-200002-22-2-2-2220000000000000000-2-22222-2-2002-20000-2-22200000000-2-22222-2-200000000-2200000000000000
χ4022-2-2222-222-2-2-2-200002-22-2-2-2220000000000000000-2-222-2-222002-2000022-2-200000000-2-222-2-222000000002-200000000000000
χ4122-2-222-2222-2-2-2-222-2-22-22-222-2-222-2-222-2-2000000000000000000-2222-2-222-2-2000000000000000000000000-2222-2-20000000000
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χ452-22-22200-2-2-2-2222−22−222-2-200002−22−22−22−200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i200002−22−22-22-22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i200000000002−22−20000000000
χ462-22-22200-2-2-2-2222−22−222-2-200002−22−22−22−200002i−2i−2i2ii2−i2i2−i2−i2i2−i2i200002−22−2-22-222i−2i−2i2i0000i2−i2i2−i2−i2i2−i2i20000000000−22−220000000000
χ472-22-22200-2-2-2-2222−22−222-2-200002−22−22−22−20000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i200002−22−2-22-22−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i20000000000−22−220000000000
χ482-22-22200-2-2-2-2222−22−222-2-200002−22−22−22−20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200002−22−22-22-2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i200000000002−22−20000000000
χ492-22-22200-2-2-2-222−22−2222-2-20000−22−22−22−2200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000−22−222-22-22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i20000000000−22−220000000000
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χ522-22-22200-2-2-2-222−22−2222-2-20000−22−22−22−220000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000−22−222-22-2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i20000000000−22−220000000000
χ532-2-222200-2-222-2-22−2−222-2-2200002−2−222−2−222i−2i2i−2i0000i2−i2−i2i2i2−i2−i2i200002−2−222-2-2200002i−2i2i−2ii2−i2−i2i2i2−i2−i2i200000000002−2−220000000000
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χ552-2-222200-2-222-2-22−2−222-2-2200002−2−222−2−22−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i200002−2−22-222-20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i20000000000−222−20000000000
χ562-2-222200-2-222-2-22−2−222-2-2200002−2−222−2−22−2i2i−2i2i0000−i2i2i2−i2−i2i2i2−i200002−2−222-2-220000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i200000000002−2−220000000000
χ572-2-222200-2-222-2-2−222−22-2-220000−222−2−222−22i−2i2i−2i0000−i2i2i2−i2−i2i2i2−i20000−222−22-2-2200002i−2i2i−2i−i2i2i2−i2−i2i2i2−i20000000000−222−20000000000
χ582-2-222200-2-222-2-2−222−22-2-220000−222−2−222−22i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i20000−222−2-222-200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i200000000002−2−220000000000
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χ964-4-44-24002-4-242-4−222222−22-222-200002−2−22−222222−22−4i4i0000002i2−2i2−2i22i2000000002−2−22000000002i−2i00−i2i2i2−i20000000000000000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-8-4-4444400002-22-244-4-4000000000000000000000000002-2000000000000000000000000000000000000000000000000
χ998-88-8-4-4004444-4-442−4242−4222-2-20000−2222−2222−2222−2222000000000000000000002−22−200000000000000000000000000000000000000000000
χ1008-88-8-4-4004444-4-4−4242−424222-2-2000022−2222−2222−2222−2200000000000000000000−22−2200000000000000000000000000000000000000000000
χ1018-8-88-4-40044-4-44442−42−42422-2-220000−222222−22−222222−22000000000000000000002−2−2200000000000000000000000000000000000000000000
χ1028-8-88-4-40044-4-444−424242−422-2-22000022−22−222222−22−222200000000000000000000−222−200000000000000000000000000000000000000000000

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