Finite Group Databasebeta

← Group #11781235

Character table — Group #11781235

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888161616161616161616181818183636363636367272144
order1222333344446666666666664888812121212121212121212121212121212881212121224242424242424242424242424242424242424242424242424242424242424242666666668888224488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ4111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ71111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-11
χ81111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111-1
χ9222222222-2-22222222222222-200002222-2-2-2-22222-2-2-2-200-2-2-2-200000000000000000000000000000000000000000000022-2-200000
χ10222222222-2-22222222222222-200002222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000-2-22200000
χ1122222222-222-2222222222222-20000-2-2-2-22222-2-2-2-2222200-2-2-2-20000000000000000000000000000000000000000022220000-2-2000
χ1222222222-222-2222222222222-20000-2-2-2-22222-2-2-2-2222200-2-2-2-200000000000000000000000000000000000000000-2-2-2-2000022000
χ1322222222-2-2-2-222222222222222i2i−2i−2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20022222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000000000000000000000000000
χ1422222222-2-2-2-22222222222222−2i−2i2i2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2002222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000000000000000000000000000
χ1522222-1-1-12222222-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000
χ1622222-1-1-12222222-1-1-1-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-21111110000000000000
χ1722222-1-1-12222222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000000
χ1822222-1-1-12222222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-22-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-10000000000000
χ1922222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-122i2i−2i−2i-2111-2111-2111-2111002-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000333333−3−3−3−3−3−3000−i3−i3−i3i3i3i30000000000000
χ2022222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-122i2i−2i−2i-2111-2111-2111-2111002-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000−3−3−3−3−3−3333333000i3i3i3−i3−i3−i30000000000000
χ2122222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12−2i−2i2i2i-2111-2111-2111-2111002-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000333333−3−3−3−3−3−3000i3i3i3−i3−i3−i30000000000000
χ2222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12−2i−2i2i2i-2111-2111-2111-2111002-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−3−3−3−3−3−3333333000−i3−i3−i3i3i3i30000000000000
χ232222-12-1-12222-1-1-1222-1-1-1-1-1-122222-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-10000000000000
χ242222-12-1-12222-1-1-1222-1-1-1-1-1-122222-12-1-1-12-1-1-12-1-1-12-1-1-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-21111-2-21111-211-211-2110000000000000
χ252222-12-1-12222-1-1-1222-1-1-1-1-1-12-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-122-12-1-111-2-2111111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-2110000000000000
χ262222-12-1-12222-1-1-1222-1-1-1-1-1-12-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-12-1-111-2-2111111-2-211111111-2-21111-2-211112-1-12-1-12-1-10000000000000
χ272222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-122i2i−2i−2i1-2111-2111-2111-21100-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii33−3−30033−3−30033−3−30−i3i30−i3i30−i3i30000000000000
χ282222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-122i2i−2i−2i1-2111-2111-2111-21100-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii−3−33300−3−33300−3−3330i3−i30i3−i30i3−i30000000000000
χ292222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-12−2i−2i2i2i1-2111-2111-2111-21100-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i33−3−30033−3−30033−3−30i3−i30i3−i30i3−i30000000000000
χ302222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-12−2i−2i2i2i1-2111-2111-2111-21100-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−3−33300−3−33300−3−3330−i3i30−i3i30−i3i30000000000000
χ312222-1-12-12222-1-1-1-1-1-1222-1-1-122222-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-120000000000000
χ322222-1-12-12222-1-1-1-1-1-1222-1-1-122222-1-12-1-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1111111-2-2111111-2-2-2111-2111-20000000000000
χ332222-1-12-12222-1-1-1-1-1-1222-1-1-12-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-122-1-12-11111-2-2111111-2-211-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-20000000000000
χ342222-1-12-12222-1-1-1-1-1-1222-1-1-12-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-1-12-11111-2-2111111-2-211111111-2-2111111-2-22-1-1-12-1-1-120000000000000
χ352222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-122i2i−2i−2i11-2111-2111-2111-2100-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii33−3−3−3−3003333−3−3000−i3i3i30−i3−i3i300000000000000
χ362222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-122i2i−2i−2i11-2111-2111-2111-2100-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii−3−3333300−3−3−3−333000i3−i3−i30i3i3−i300000000000000
χ372222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-12−2i−2i2i2i11-2111-2111-2111-2100-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i33−3−3−3−3003333−3−3000i3−i3−i30i3i3−i300000000000000
χ382222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-12−2i−2i2i2i11-2111-2111-2111-2100-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i−3−3333300−3−3−3−333000−i3i3i30−i3−i3i300000000000000
χ392222-1-1-122222-1-1-1-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-10000000000000
χ402222-1-1-122222-1-1-1-1-1-1-1-1-122222222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12211111111-2-211-2-211-21111-21-210000000000000
χ412222-1-1-122222-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-210000000000000
χ422222-1-1-122222-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-1-1-12111111-2-2111111-2-211111111-2-211-2-2112-1-1-1-12-12-10000000000000
χ432222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-122222i2i−2i−2i111-2111-2111-2111-200-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i33−3−333−3−300−3−300330−i3i3−i3i30i30−i30000000000000
χ442222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-122222i2i−2i−2i111-2111-2111-2111-200-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i−3−333−3−333003300−3−30i3−i3i3−i30−i30i30000000000000
χ452222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222−2i−2i2i2i111-2111-2111-2111-200-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i33−3−333−3−300−3−300330i3−i3i3−i30−i30i30000000000000
χ462222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222−2i−2i2i2i111-2111-2111-2111-200-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i−3−333−3−333003300−3−30−i3i3−i3i30i30−i30000000000000
χ4722-2-22222200-22-2-22-2-22-2-22-2-202−22−2-2-2-2-20000222200000000002−22−22−22−22−22−22−22−20000000000000000000000000−i2−i2i2i2002i−2i−i2i2000
χ4822-2-22222200-22-2-22-2-22-2-22-2-202−22−2-2-2-2-20000222200000000002−22−22−22−22−22−22−22−20000000000000000000000000i2i2−i2−i200−2i2ii2−i2000
χ4922-2-22222200-22-2-22-2-22-2-22-2-20−22−22-2-2-2-2000022220000000000−22−22−22−22−22−22−22−220000000000000000000000000−i2−i2i2i200−2i2i−i2i2000
χ5022-2-22222200-22-2-22-2-22-2-22-2-20−22−22-2-2-2-2000022220000000000−22−22−22−22−22−22−22−220000000000000000000000000i2i2−i2−i2002i−2ii2−i2000
χ5122-2-22222-20022-2-22-2-22-2-22-2-20−i2i2i2−i222220000-2-2-2-20000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000−i2−i2i2i22-200i2−i2000
χ5222-2-22222-20022-2-22-2-22-2-22-2-20−i2i2i2−i222220000-2-2-2-20000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000i2i2−i2−i2-2200−i2i2000
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χ552-22-2222202-20-22-2-22-2-22-2-22-200000000022220000-2-2-2-2−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000002i−2i2i−2i0000002−20
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χ5944444-2-2-24-4-44444-2-2-2-2-2-2-2-2-2-400004-2-2-2-42224-2-2-2-422200-4222000000000000000000000000000000000000000000000000000000
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χ8144-4-4-2-2-24-4004-222-222-2224-4-40−2i22i22i2−2i2-2-2-240000222-40000000000i2−i2i2−i2i2−i2−2i22i2−i2i2−i2i2−i2i22i2−2i200000000000000000000000000000000000000
χ8244-4-4-2-2-24-4004-222-222-2224-4-402i2−2i2−2i22i2-2-2-240000222-40000000000−i2i2−i2i2−i2i22i2−2i2i2−i2i2−i2i2−i2−2i22i200000000000000000000000000000000000000
χ834-44-444440-440-44-4-44-4-44-4-44-4000000000-4-4-4-400004444000000000000000000000000000000000000000000000000000000000000
χ844-44-44-2-2-204-40-44-42-222-222-220000000004-2-2-20000-4222−2i22i200000000000000000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ854-44-44-2-2-204-40-44-42-222-222-220000000004-2-2-20000-42222i2−2i2000000000000000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ864-44-44-2-2-20-440-44-42-222-222-22000000000-422200004-2-2-200000000000000000000000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i60000000000000000000000
χ874-44-44-2-2-20-440-44-42-222-222-22000000000-422200004-2-2-200000000000000000000000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i60000000000000000000000
χ884-44-4-24-2-204-402-22-44-42-222-22000000000-24-2-200002-422−2i22i200000000000000000000i2−i2i2−i2−2i22i2i2−i2i2−i2−2i22i2i2−i2i2−i20000000000000000000000
χ894-44-4-24-2-204-402-22-44-42-222-22000000000-24-2-200002-4222i2−2i200000000000000000000−i2i2−i2i22i2−2i2−i2i2−i2i22i2−2i2−i2i2−i2i20000000000000000000000
χ904-44-4-24-2-20-4402-22-44-42-222-220000000002-4220000-24-2-20000000000000000000000i6−i6−i6i600i6−i6−i6i600i6−i6−i6i60000000000000000000000
χ914-44-4-24-2-20-4402-22-44-42-222-220000000002-4220000-24-2-20000000000000000000000−i6i6i6−i600−i6i6i6−i600−i6i6i6−i60000000000000000000000
χ924-44-4-2-24-204-402-222-22-44-42-22000000000-2-24-2000022-42−2i22i200000000000000000000i2−i2i2−i2i2−i2−2i22i2i2−i2i2−i2i2−i2−2i22i20000000000000000000000
χ934-44-4-2-24-204-402-222-22-44-42-22000000000-2-24-2000022-422i2−2i200000000000000000000−i2i2−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i20000000000000000000000
χ944-44-4-2-24-20-4402-222-22-44-42-2200000000022-420000-2-24-20000000000000000000000i6−i6−i6i6−i6i600i6−i6i6−i6−i6i6000000000000000000000000
χ954-44-4-2-24-20-4402-222-22-44-42-2200000000022-420000-2-24-20000000000000000000000−i6i6i6−i6i6−i600−i6i6−i6i6i6−i6000000000000000000000000
χ964-44-4-2-2-2404-402-222-222-22-44-4000000000-2-2-240000222-4−2i22i200000000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2i2−i2−2i22i2i2−i20000000000000000000000
χ974-44-4-2-2-2404-402-222-222-22-44-4000000000-2-2-240000222-42i2−2i200000000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i2−i2i22i2−2i2−i2i20000000000000000000000
χ984-44-4-2-2-240-4402-222-222-22-44-4000000000222-40000-2-2-240000000000000000000000i6−i6−i6i6i6−i6−i6i600−i6i600i6−i60000000000000000000000
χ994-44-4-2-2-240-4402-222-222-22-44-4000000000222-40000-2-2-240000000000000000000000−i6i6i6−i6−i6i6i6−i600i6−i600−i6i60000000000000000000000
χ1004-4-4444440000-4-44-4-44-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000022−22−2222000000000
χ1014-4-4444440000-4-44-4-44-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000−222222−22000000000
χ1028-8-888-4-4-40000-8-8844-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-4000044-4-8-8844-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-48-4000044-444-4-8-8844-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-48000044-444-444-4-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000

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