Finite Group Databasebeta

← Group #11873363

Character table — Group #11873363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order1222334466666688883666121212122424242424242424444444448888888824121224242424222212121212121212122424242424242424666612121212448888224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-11-11-1-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-11-11-11-11-1-1
χ61111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-1-111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111111-1-111-1-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-11
χ17222222-2-222222200002222-2-2-2-2000000002222-2-2-2-20000000000-2-2000022222222-2-2-2-20000000000000000-2-200000000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2220000000000-2-20000-2-2-2-222-2-2-2-22200000000000000002200000000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22222-2-20000000000-2-20000-2-2-2-2-2-22222-2-200000000000000002200000000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-222220000000000-2-200002222-2-2-2-222220000000000000000-2-200000000000000
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χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-222-1-1-1-1-1-1000000110011000011112-1-1-12-1-1-10000000-20-2010100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000011001100001111-2111-211100000002020-10-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-22-2-1-11111000000-1-100-1-1000011112-1-1-1-2111000000020-20-10100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-2-22-1-11111000000-1-100-1-100001111-21112-1-1-10000000-202010-100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-2000022222-2-1-111110000001100110000-1-1-1-12-1-1-1-21110000000-202010-100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-200002222-22-1-111110000001100110000-1-1-1-1-21112-1-1-1000000020-20-10100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222220022002222000022-1-1-1-1-1-10000-1-100-1-100-1-1-1-10000-12-1-1-12-1-10000002020-10-1000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222200220022220000-2-2-1-1-1-1-1-10000-1-100-1-100-1-1-1-100001-2111-211000000-20-20101000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-2000022-1-1-1-1-1-100001100110011110000-12-1-1-12-1-1000000-20-20101000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-20000-2-2-1-1-1-1-1-1000011001100111100001-2111-2110000002020-10-1000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-200002-2-1-111110000-1-100-1-10011110000-12-1-11-21100000020-20-101000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-20000-22-1-111110000-1-100-1-100111100001-211-12-1-1000000-202010-1000
χ352222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-2-200222200002-2-1-11111000011001100-1-1-1-10000-12-1-11-211000000-202010-1000
χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-2-20022220000-22-1-11111000011001100-1-1-1-100001-211-12-1-100000020-20-101000
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χ4122-2-22200-2-222-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i20000−i2−i2i2i222-2-22-22-20000−i2−i2i2i2−i2−i2i2i20000000000−i2−i2i2i20000000000
χ4222-2-22200-2-222-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i22-2-220000−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2-2-2222-2-220000−i2−i2i2i2i2i2−i2−i20000000000i2i2−i2−i20000000000
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χ4422-2-22200-2-222-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2-22-220000i2i2−i2−i2i2i2−i2−i20000−i2−i2i2i222-2-2-22-220000i2i2−i2−i2i2i2−i2−i20000000000−i2−i2i2i20000000000
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χ532-2-222200-2-2-2-2222−2−222-2-2200002−2−222−2−2200002-22-22−2−222−2−2200002−2−222-2-2200002-22-22−2−222−2−2200000000002−2−220000000000
χ542-2-222200-2-2-2-2222−2−222-2-2200002−2−222−2−2200002-2-222−2−22−222−200002−2−22-222-200002-2-222−2−22−222−20000000000−222−20000000000
χ552-2-222200-2-2-2-2222−2−222-2-2200002−2−222−2−220000-222-2−222−22−2−2200002−2−22-222-20000-222-2−222−22−2−220000000000−222−20000000000
χ562-2-222200-2-2-2-2222−2−222-2-2200002−2−222−2−220000-22-22−222−2−222−200002−2−222-2-220000-22-22−222−2−222−200000000002−2−220000000000
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χ914-4-444-200-42-424-2−222222−22-222-20000−222222−222−2−220000004-40000−222222−2200002−2−220000000000-2200002−2−22000000000000000000000000
χ924-4-444-200-42-424-2−222222−22-222-20000−222222−222−2−22000000-44000022−22−222200002−2−2200000000002-20000−222−2000000000000000000000000
χ934-4-44-24002-42-4-2422−22−2222-222-20000−222−222−22−222200004-40022−22−222200000000−222−200000000-2200−222−20000000000000000000000000000
χ944-4-44-24002-42-4-2422−22−2222-222-20000−222−222−22−22220000-4400−222222−2200000000−222−2000000002-2002−2−220000000000000000000000000000
χ954-4-44-24002-42-4-24−222222−22-222-200002−2−22−222222−2200004-400−222222−22000000002−2−2200000000-22002−2−220000000000000000000000000000
χ964-4-44-24002-42-4-24−222222−22-222-200002−2−22−222222−220000-440022−22−2222000000002−2−22000000002-200−222−20000000000000000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-40044-4-4444i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i200000000000000000000i2i2−i2−i200000000000000000000000000000000000000000000
χ9988-8-8-4-40044-4-444−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i200000000000000000000−i2−i2i2i200000000000000000000000000000000000000000000
χ1008-88-8-4-4-88-4-4444400002-22-2-4-44400000000000000000000000000-22000000000000000000000000000000000000000000000000
χ1018-8-88-4-4004444-4-442−42−42422-2-220000−222222−22−222222−22000000000000000000002−2−2200000000000000000000000000000000000000000000
χ1028-8-88-4-4004444-4-4−424242−422-2-22000022−22−222222−22−222200000000000000000000−222−200000000000000000000000000000000000000000000

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