Finite Group Databasebeta

← Group #11799716

Character table — Group #11799716

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444424242424242424242424242448484848484872727272
order1223344666688881212242424243446666881212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424246688121224242424441212121216161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-1
χ611111111111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111
χ711111111111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111
χ811111111111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1
χ92222222222222-2-22222222-2-22222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000
χ1022222222222-2-2-2-222-2-2-2-22222222-2-222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ112222-1222-1222222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-10000000000
χ122222-1222-1222222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-21111110000000000
χ132222-1222-12222-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1-22-2-2-2-211111111111122-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-100−i3i300−i3i3−i3−i3i3i30000000000
χ142222-1222-12222-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1-22-2-2-2-211111111111122-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-100i3−i300i3−i3i3i3−i3−i30000000000
χ152222-1222-122-2-222-1-11111-1-2-2-1-1-1-12-2-2-2-2-211111111111122-1-1-1-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-2-2-1-111110000000000
χ162222-1222-122-2-222-1-11111-1-2-2-1-1-1-12-2-2-2-2-211111111111122-1-1-1-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2112211-1-1-1-10000000000
χ172222-1222-122-2-2-2-2-1-11111-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-111-2-2-2-2111111111111-2-2-2-21111111100−i3i300−i3i3i3i3−i3−i30000000000
χ182222-1222-122-2-2-2-2-1-11111-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-111-2-2-2-2111111111111-2-2-2-21111111100i3−i300i3−i3−i3−i3i3i30000000000
χ19222-1222-12-1-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ20222-1222-12-1-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
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χ22222-1222-12-1-122-2-2222222-1-2-22-1-1-1-221111-2-2-2-211111111-1-12-1-1-1-1221111-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000i3−i3i3−i30000
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χ25222-1222-12-1-1-2-2-2-222-2-2-2-2-1222-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2-2-21111111111111111111100000000000000−i3i3i3−i30000
χ26222-1222-12-1-1-2-2-2-222-2-2-2-2-1222-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2-2-21111111111111111111100000000000000i3−i3−i3i30000
χ2722-2222-222-2-20022-2-20000200-22-2-2-2000000000000000002-2222-2-20022-2-222-2-22222-2-2-2-200000000000000002i−2i002i−2i2i−2i0000000000
χ2822-2222-222-2-20022-2-20000200-22-2-2-2000000000000000002-2222-2-20022-2-222-2-22222-2-2-2-20000000000000000−2i2i00−2i2i−2i2i0000000000
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χ3822-22-12-22-1-2-2002211−3−333-1001-111-200000−3−333−3−3−3−333332-2-1-1-111−3322-2-2-1-111-1-1-1-111110000−3−333−3−33300i3−i32i−2i−i3i3−ii−ii0000000000
χ3922-22-12-22-1-2-200-2-21133−3−3-1001-111200000−3−333−3−3−3−333332-2-1-1-1113−3-2-22211-1-11111-1-1-1-1000033−3−333−3−32-2-1-100113−3−330000000000
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χ4122-22-12-22-1-2-200-2-211−3−333-1001-11120000033−3−33333−3−3−3−32-2-1-1-111−33-2-22211-1-11111-1-1-1-10000−3−333−3−3332-2-1-10011−333−30000000000
χ4222-22-12-22-1-2-200-2-211−3−333-1001-11120000033−3−33333−3−3−3−32-2-1-1-111−33-2-22211-1-11111-1-1-1-10000−3−333−3−333-221100-1-13−3−330000000000
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χ49444-2-244-2-2-2-244-4-4-2-2-2-2-2-21-4-4-2111-4422222222-1-1-1-1-1-1-1-1-2-2-21111-2-222222222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000
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χ904-40-2-20022−2i32i3−2i22i2−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2312-20-1i3−i300−1−i31+i3−1+i31−i3−1−31+3−1+31−3ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ220003i−3i−3300i2−i26−6i2−i2i6−i6ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23i2−i26−6−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000
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χ934-40-2-20022−2i32i3−2i22i22i2−2i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-220-1i3−i3001+i3−1−i31−i3−1+i31−3−1+31+3−1−3−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22000−3i3i3−300−i2i2−66−i2i2i6−i62ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13i2−i26−6−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000
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χ1024-40-2-200222i3−2i32i2−2i2−2i22i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231-220-1−i3i3001−i3−1+i31+i3−1−i31+3−1−31−3−1+32ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ22−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ22000−3i3i−3300i2−i2−66i2−i2i6−i6−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i2i26−6ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000
χ1034-40-2-200222i3−2i32i2−2i2−2i22i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-220-1−i3i3001−i3−1+i31+i3−1−i31−3−1+31+3−1−3−2ζ14−ζ20−ζ222ζ14+ζ20+ζ22−ζ4+ζ14+2ζ22ζ4−ζ14−2ζ222ζ14−ζ20+ζ22−2ζ14+ζ20−ζ22−ζ4−ζ14−2ζ22ζ4+ζ14+2ζ220003i−3i3−300i2−i2−66i2−i2−i6i6ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−i2i26−6ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000
χ1044-40-2-200222i3−2i32i2−2i22i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2312-20-1−i3i300−1+i31−i3−1−i31+i3−1−31+3−1+31−3−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ222ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22000−3i3i−3300−i2i26−6−i2i2−i6i62ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−i2i26−6ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000
χ1054-40-2-200222i3−2i32i2−2i22i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ712-20-1−i3i300−1+i31−i3−1−i31+i3−1+31−3−1−31+32ζ14+ζ20+ζ22−2ζ14−ζ20−ζ22ζ4−ζ14−2ζ22−ζ4+ζ14+2ζ22−2ζ14+ζ20−ζ222ζ14−ζ20+ζ22ζ4+ζ14+2ζ22−ζ4−ζ14−2ζ220003i−3i3−300−i2i26−6−i2i2i6−i6−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i2i26−6ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.