Finite Group Databasebeta

← Group #11789675

Character table — Group #11789675

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121288882266666666666666661212121244448824242424242424244488121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−ii−iiiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−i11-1-11-1
χ1011-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-111-1-1−ii−iii−iiiii−i−i−i−ii−i−ii−i−iiiii−i−i−i−iii-1-111-11
χ1111-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−ii−iiiii−i−i−i−i−ii−iiii−i−i−i−iii−i−iii11-1-1-11
χ1211-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-1111111-1-1−ii−iii−iiiii−i−i−i−i−iii−i−i−iii−i−iiiii−i−i-1-1111-1
χ1311-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−i−ii−i−i−i−iiiii−iii−iii−i−i−i−iiiii−i−i-1-111-11
χ1411-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii−ii−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii11-1-11-1
χ1511-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−i−ii−i−i−i−iiiiii−i−iiii−i−iii−i−i−i−iii-1-1111-1
χ1611-1-11-111-1-11111-1-1-111-1-1-111-111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-1111111-1-1−ii−ii−ii−i−i−i−iiiiii−ii−i−i−iiiii−i−iii−i−i11-1-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000-2-2-2-20000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000-2-2-2-2000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-122-1-12-12-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-122-1-12-12-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2111100001111000000
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χ222222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-122-1-12-12-10000-2-2-2-211-2-21111111111-1-1-1-1-2-2-2-20000000000002211110000-1-1-1-1000000
χ23222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-122-12-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122000000-1-1-1-10000000000
χ24222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-122-12-122222-2-211-2-211-2-211111111-1-1-1-1000022-1-1-1-1-1-1-1-1-2-200000011110000000000
χ25222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-122-12-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200000011110000000000
χ26222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-122-12-12-2-2-2-2-2-211-2-211-2-211111111-1-1-1-10000-2-21111111122000000-1-1-1-10000000000
χ272222-2-2222-22-2-2-22-2-2222222-2-2-2-222-2-222-22-22-2-2200000000000000000000002-22-222-2-2000000000000002-22-200000000000000
χ282222-2-2222-22-2-2-22-2-2222222-2-2-2-222-2-222-22-22-2-2200000000000000000000002-22-2-2-22200000000000000-22-2200000000000000
χ292222-2-222-22-22-2-22-2-2222222-2-2-2-222-2-22-22-22-222-22222000000000000000000-22-220000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-22-22-2-22-2-2222222-2-2-2-222-2-22-22-22-222-2-2-2-2-2000000000000000000-22-22000022-2-222-2-2220000000000000000000000
χ312222-2-22-12-22-2-2-22-2-22-1-1-12-11111-1-111-12-2-1121-2-100000000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-11-1122-2-200000000000000-11-110000−i3i3−i3i3000000
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χ362222-2-2-12-22-2211-111-1222-1-1-2-211-1-111-11-1-2212-1-2222200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i31-11-10000-2-2-1-111-1-11100000000i3−i3i3−i30000000000
χ372222-2-2-12-22-2211-111-1222-1-1-2-211-1-111-11-1-2212-1-2-2-2-2-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i31-11-100002211-1-111-1-100000000i3−i3i3−i30000000000
χ382222-2-2-12-22-2211-111-1222-1-1-2-211-1-111-11-1-2212-1-2-2-2-2-200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i31-11-100002211-1-111-1-100000000−i3i3−i3i30000000000
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χ4122-2-22-22-1-2-22222-2-2-22-111-2-1-11-1-11111-122-1-1-21-2100002-222-1-1-2-211-1-1-1-11111-1-1112i−2i2i−2i0000000000002i−2i−i−iii0000−i−iii000000
χ4222-2-22-22-1-2-22222-2-2-22-111-2-1-11-1-11111-122-1-1-21-2100002-222-1-1-2-211-1-1-1-11111-1-111−2i2i−2i2i000000000000−2i2iii−i−i0000ii−i−i000000
χ4322-2-22-22-1-2-22222-2-2-22-111-2-1-11-1-11111-122-1-1-21-210000-22-2-21122-1-11111-1-1-1-1-1-1112i−2i2i−2i000000000000−2i2i−i−iii0000ii−i−i000000
χ4422-2-22-22-1-2-22222-2-2-22-111-2-1-11-1-11111-122-1-1-21-210000-22-2-21122-1-11111-1-1-1-1-1-111−2i2i−2i2i0000000000002i−2iii−i−i0000−i−iii000000
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χ4622-2-22-2-12-2-222-1-1111-12-2-21-12-2-1-11111-1-1-1221-21-22i2i−2i−2i-2211-2-2-1-1221111-1-1-1-1-1-11100002i−2i−i−i−i−iiiii−2i2i000000ii−i−i0000000000
χ4722-2-22-2-12-2-222-1-1111-12-2-21-12-2-1-11111-1-1-1221-21-2−2i−2i2i2i2-2-1-12211-2-2-1-1-1-11111-1-1110000−2i2iiiii−i−i−i−i−2i2i000000ii−i−i0000000000
χ4822-2-22-2-12-2-222-1-1111-12-2-21-12-2-1-11111-1-1-1221-21-2−2i−2i2i2i-2211-2-2-1-1221111-1-1-1-1-1-1110000−2i2iiiii−i−i−i−i2i−2i000000−i−iii0000000000
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χ894-44-400-2400002i3−2i3-22i3−2i32-44-42-2002i3−2i3-222i3−2i3200000000−2i22i2−2i22i20000000000000000000000000000i2−i2−66i2−i2−660000000000000000000000
χ904-44-400-2400002i3−2i3-22i3−2i32-44-42-2002i3−2i3-222i3−2i32000000002i2−2i22i2−2i20000000000000000000000000000−i2i26−6−i2i26−60000000000000000000000
χ914-4-440044000000-400-4-4-44440000-4400-40000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-440044000000-400-4-4-44440000-4400-400000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-4400-240000−2i32i322i3−2i32-4-44-2-200−2i32i32-22i3−2i320000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ944-4-4400-240000−2i32i322i3−2i32-4-44-2-200−2i32i32-22i3−2i3200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-4400-2400002i3−2i32−2i32i32-4-44-2-2002i3−2i32-2−2i32i320000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-4400-2400002i3−2i32−2i32i32-4-44-2-2002i3−2i32-2−2i32i3200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-8008-4000000800-84-44-8-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000−4i34i3-4−4i34i344-4442002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i3-44i3−4i344-444200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000-800-844-48-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i344i3−4i3444-4-42002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34−4i34i3444-4-4200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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