Finite Group Databasebeta

← Group #11786840

Character table — Group #11786840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666622223666666612121212121212126666666666666666121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ911-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−ii−iii−i−i
χ1011-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−ii−i−iii
χ1111-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−ii−i−iii
χ1211-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiii−iii−i−i
χ1311-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1-1-111111-1-1-1-11111-1-1-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiii−i−i−iii
χ1411-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1-1-111111-1-1-1-11111-1-1-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−iiii−i−i
χ1511-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1-1-111111-1-1-1-11111-1-1-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−iiii−i−i
χ1611-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1-1-111111-1-1-1-11111-1-1-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−ii−i−i−iii
χ172222222222-2-2-2-222222222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222000000000000-2-20000
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χ8844-4-444-4-4-2-24-44-4-2-2-22222222-2-2-22-4-444111-1-1-1-11-2-2-2222-222222-2-2-2-2-1-1-1-1111111-1-10000000000000000000000000000000000000000000000
χ8944-4-444-4-4-2-2-44-44-2-2-22222222-2-2-220000111-1-1-1-11222-2-2-22-2000000003-33-3-33-33-1-1110000000000000000000000000000000000000000000000
χ9044-4-444-4-4-2-2-44-44-2-2-22222222-2-2-220000111-1-1-1-11222-2-2-22-200000000-33-333-33-3-1-1110000000000000000000000000000000000000000000000
χ914-4444-4-4-44-2-4-444-4-4244-4-2-2224-22-40000-222-2-222-2-442-42-2-2400000000000000002-22-20000000000000000000000000000000000000000000000
χ924-4444-4-4-4-24-4-44422-4-2-2244-4-4-24-420000-222-2-222-22-2-42-444-200000000000000002-22-20000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-244-4-4222-2-22-2-222-2-2224-44-41-1-111-1-11-22-2-2-2222-22-22-22-2211-1-111-1-11-11-10000000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-244-4-4222-2-22-2-222-2-222-44-441-1-111-1-11-22-2-2-22222-22-22-22-2-1-111-1-1111-11-10000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-4-444222-2-22-2-222-2-22200001-1-111-1-112-2222-2-2-2000000003-3-333-3-33-11-110000000000000000000000000000000000000000000000
χ964-4444-4-4-4-2-2-4-444222-2-22-2-222-2-22200001-1-111-1-112-2222-2-2-200000000-333-3-333-3-11-110000000000000000000000000000000000000000000000
χ974-44-4-444-44-200004-424-44-22-22-42-2-40000-2-22-22-222000000000000000000000000000022−2222−220000−22−22−22−22000000000000000000000000000000
χ984-44-4-444-44-200004-424-44-22-22-42-2-40000-2-22-22-2220000000000000000000000000000−2222−222200002−22−22−22−2000000000000000000000000000000
χ994-44-4-444-4-240000-22-4-22-24-44-42-4420000-2-22-22-22200000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ1004-44-4-444-4-240000-22-4-22-24-44-42-4420000-2-22-22-222000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ1014-4-44-44-444-200004-42-44-42-22-2-42-240000-2-222-22-22000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000000000
χ1024-4-44-44-444-200004-42-44-42-22-2-42-240000-2-222-22-220000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000000000
χ1034-4-44-44-44-240000-22-42-22-44-442-44-20000-2-222-22-220000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000000000
χ1044-4-44-44-44-240000-22-42-22-44-442-44-20000-2-222-22-2200000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000000000
χ1054-4-4-44-4444-2-444-4-4-42-4-4422-2-24-2240000-22222-2-2-2-4424-22-2-400000000000000002-2-220000000000000000000000000000000000000000000000
χ1064-4-4-44-444-24-444-422-422-2-4-444-24-4-20000-22222-2-2-22-2-4-24-44200000000000000002-2-220000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-4422222-222-2-2-2-22-24-4-441-1-1-1-1111-22-222-22-2-22-222-22-211-1-1-1-1111-1-110000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-4422222-222-2-2-2-22-2-444-41-1-1-1-1111-22-222-22-22-22-2-22-22-1-11111-1-11-1-110000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-422222-222-2-2-2-22-200001-1-1-1-11112-22-2-22-22000000003-3-33-333-3-111-10000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-422222-222-2-2-2-22-200001-1-1-1-11112-22-2-22-2200000000-333-33-3-33-111-10000000000000000000000000000000000000000000000
χ111888-8-8-8-88-4-400004-4-4-444-444-4444-400002-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-8-4-400004-4-44-4-44-4-44444400002-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8-4-40000-444-44-4-44-4444-44000022-22-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-40000-4444-444-44-444-4-4000022-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000

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