Finite Group Databasebeta

← Group #11812865

Character table — Group #11812865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222222222336666666666666622344666666666666666666666666666121212121212121244444444121212121212121212121212121212124444244466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-111-1-111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ1311111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ1411111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-11111
χ1511111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ1611111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1
χ172222222222222-1222-1-1-1-1-1222-12-122-1222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002002-1-10000-1-1000000
χ182222222222222-1222-1-1-1-1-1222-12-122-1222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111111110000-200-211000011000000
χ192222222222222-1222-1-1-1-1-1222-12-1-2-2-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-1-11111-2-21111110000222200000000-1-1-1-1-1-1-1-10000-200-211000011000000
χ202222222222222-1222-1-1-1-1-1222-12-1-2-2-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-1-11111-2-21111110000-2-2-2-2000000001111111100002002-1-10000-1-1000000
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χ22222222222222-12-1-1-122222-1-1-12-1222-122-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20000111111110000000000000-2-2000111100000000
χ23222222222222-12-1-1-122222-1-1-12-12-2-2-1-2-2-1-1-1-12222-1-1-1-1-1-1-111-2-2-1-1-1-1111111-2-2111122220000-1-1-1-1-1-1-1-10000000000000-2-2000111100000000
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χ2522222222-2-2-2-22-1222-1-1-1-1-1222-12-122-1-2-2-2-2-2-21111-1-1-1-1-1-1-122-1-11111-1-1-1-1-2-2111111000022-2-200000000-1-1-1-111110000200-2-1-1000011000000
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χ2722222222-2-2-2-22-1222-1-1-1-1-1222-12-1-2-2-122-2-2-2-21111-1-1-1-1-1-1-1-2-2111111111122-1-1-1-1-1-1000022-2-200000000-1-1-1-111110000-2002110000-1-1000000
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χ2922222222-2-2-2-2-12-1-1-122222-1-1-12-1222-1-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1221111-1-1-1-111-2-2111122-2-20000-1-1-1-1111100000000000002-2000-1-11100000000
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χ3222222222-2-2-2-2-12-1-1-122222-1-1-12-12-2-2-1221111-2-2-2-2-1-1-1-1-1-1-111-2-211111111-1-122-1-1-1-1-2-22200001111-1-1-1-100000000000002-2000-1-11100000000
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χ934-4444-4-4-44-44-4-2-222222-2-22-2-2-2-22200100-22-22-22-22-1-111-1-1100001-11-13-3-3300003-3-330000000000000000000000000000000000000000000000
χ944-4444-4-4-44-44-4-2-222222-2-22-2-2-2-22200100-22-22-22-22-1-111-1-1100001-11-1-333-30000-333-30000000000000000000000000000000000000000000000
χ954-4444-4-4-4-44-444-2-4-4-422-2-22444-2-4200-200-44-442-22-222-2-222-200002-22-20000000000000000000000000000000000000000000000000000000000
χ964-4444-4-4-4-44-44-24222-4-444-4-2-2-242-400-2002-22-2-44-4422-2-222-200002-22-20000000000000000000000000000000000000000000000000000000000
χ974-4444-4-4-4-44-44-2-222222-2-22-2-2-2-222001002-22-22-22-2-1-111-1-110000-11-113-3-330000-333-30000000000000000000000000000000000000000000000
χ984-4444-4-4-4-44-44-2-222222-2-22-2-2-2-222001002-22-22-22-2-1-111-1-110000-11-11-333-300003-3-330000000000000000000000000000000000000000000000
χ994-44-4-444-400004-2-44-4-22-22-2-44-424200-20000000000-22-22-222000000000000000000000000004i−4i000000000000−2i−2i2i2i0000000000000000000000
χ1004-44-4-444-400004-2-44-4-22-22-2-44-424200-20000000000-22-22-22200000000000000000000000000−4i4i0000000000002i2i−2i−2i0000000000000000000000
χ1014-44-4-444-40000-242-224-44-442-22-4-2-400-20000000000-22-22-22200000000000000000000004-400000000-2-222000000000000000000000000000000
χ1024-44-4-444-40000-242-224-44-442-22-4-2-400-20000000000-22-22-2220000000000000000000000-440000000022-2-2000000000000000000000000000000
χ1034-4-44-44-4400004-2-4-44-222-22-4-4424-200-20000000000-222-22-220000000000000000000000004-40000000000-2-22200000000000000000000000000
χ1044-4-44-44-4400004-2-4-44-222-22-4-4424-200-20000000000-222-22-22000000000000000000000000-44000000000022-2-200000000000000000000000000
χ1054-4-44-44-440000-2422-24-4-44-422-2-4-2400-20000000000-222-22-22000000000000000000004-4000000-2-2220000000000000000000000000000000000
χ1064-4-44-44-440000-2422-24-4-44-422-2-4-2400-20000000000-222-22-2200000000000000000000-4400000022-2-20000000000000000000000000000000000
χ1074-4-4-44-4444-4-44-2-22-2-22222-2-222-22-24-414-4-222-2-222-2-1-1-1-1111-22-221-1-1111-1-1-22-2211-1-10000000000000000000000000000000000000000000000
χ1084-4-4-44-4444-4-44-2-22-2-22222-2-222-22-2-441-44-222-2-222-2-1-1-1-11112-22-21-1-11-1-1112-22-2-1-1110000000000000000000000000000000000000000000000
χ1094-4-4-44-444-444-4-2-22-2-22222-2-222-22-24-41-442-2-222-2-22-1-1-1-1111-22-22-111-111-1-12-22-2-1-1110000000000000000000000000000000000000000000000
χ1104-4-4-44-444-444-4-2-22-2-22222-2-222-22-2-4414-42-2-222-2-22-1-1-1-11112-22-2-111-1-1-111-22-2211-1-10000000000000000000000000000000000000000000000
χ111888-8-8-8-880000-4-4-44-44-4-4444-4444-40020000000000-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-80000-4-4-4-444-44-4-444-44440020000000000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-80000-4-44-44-44-44-44-444-4400200000000002-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-880000-4-444-4-444-4444-44-4-400200000000002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000

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