Finite Group Databasebeta

← Group #11788318

Character table — Group #11788318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666666666366666666612121212121212122244441212121212121212121212121212121212121212246666888812121212226666882424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11111ii−i−i-1-1-1-11-111-1-1i−iii−i−iii−i−iii−i−ii−i
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11111−i−iii-1-1-1-11-111-1-1−ii−i−iii−i−iii−i−iii−ii
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-11111ii−i−i-1-1-1-1-11-1-111−iiii−i−i−i−iiiii−i−i−ii
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-11111−i−iii-1-1-1-1-11-1-111i−i−i−iiiii−i−i−i−iiii−i
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1ii−i−i1111-11-1-111i−iii−i−iii−i−i−i−iii−ii
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1−i−iii1111-11-1-111−ii−i−iii−i−iiiii−i−ii−i
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1ii−i−i11111-111-1-1−iiii−i−i−i−iii−i−iiii−i
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1−i−iii11111-111-1-1i−i−i−iiiii−i−iii−i−i−ii
χ172222222-122222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-12222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-122-1-1-1-10000000000000000
χ182222222-122222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-1222222-2-2-2-211-2-211-1-1-1-11111111122-1-1-1-10000-1-1-1-1-2-211110000000000000000
χ192222222-122222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100001111-2-211110000000000000000
χ202222222-122222-1-1-1-1-122-1-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-211-2-211-1-1-1-111111111-2-211110000111122-1-1-1-10000000000000000
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χ222222222-1-2-2-2-22-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-21111-2-222-2-2-22-2-21122-1-111111111-1-1-1-12-2-1-1-1-100001111-2211-1-10000000000000000
χ232222222-1-2-2-2-22-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-21111-2-2-2-2222-222-1-1-2-2111111-1-1-1-11111-2211110000-1-1-1-1-2211-1-10000000000000000
χ242222222-1-2-2-2-22-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-2-21111-2-2-2-222-22-2-21122-1-111111111-1-1-1-1-2211110000-1-1-1-12-2-1-1110000000000000000
χ25222222-122222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000022-1-1-1-1-1-1-1-1000000
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χ27222222-122222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-2-211-2-211-2-2-1-1-1-11111111100000022220000000000-2-2-1-1-1-11111000000
χ28222222-122222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-2-211-2-211-2-2-1-1-1-111111111000000-2-2-2-20000000000221111-1-1-1-1000000
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χ32222222-12-2-2-2-2-122222-1-122-1-1-1-1-1-1-1-1-1-111-2-2-2-2110000-2211-2-2-1-12211111111-1-1-1-1000000−2i−2i2i2i00000000002i−2iii−i−i−i−iii000000
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χ9988-8-800-4-40000-4-44i3−4i34i3−4i344442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4800004-800004-48-8-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4000044−4i34i34i3−4i34-4-44200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-40000444i3−4i3−4i34i34-4-44200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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