Finite Group Databasebeta

← Group #11899650

Character table — Group #11899650

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order1244233466888812121212366612121212242424242424242422446612122466612121224242424688121616161624242424484848484848484866612121222446612121616161661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-1111-11-111-1-11-111-1-1-1111-1-1-11-1111-1-111-1-11111-1-1-1-1111-1-1-111-1-111-1-111-1-11-1-11
χ1011-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-1111-11-111-1-11-111-1-1-1111-1-1-11-11-1-11111-1-1-1-1-1-11111111-1-1-11-1-1111-1-1-1-111-111-1
χ1111-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-1111-11-111-1-1-11-1-1-111111-1-1-11-1111-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-111-1
χ1211-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-1111-11-111-1-1-11-1-1-111111-1-1-11-11-1-11111-1-1-1-1-1-11111-1-1-1111-111-1-1-111-1-1111-1-11
χ1311-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-111-11-11-1-1111-111-1-1-1111-1-11-11-111-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-111-1-1111-11-1
χ1411-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-111-11-11-1-1111-111-1-1-1111-1-11-11-1-1-111-1-111-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-11-11
χ1511-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-111-11-11-1-111-11-1-1-111111-1-11-11-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1111-1-1-1-111-11-11
χ1611-1-1-111111-1-111-1-1-1-11-1-11-1-111-1-111-1-111-11-11-1-111-11-1-1-111111-1-11-11-1-1-111-1-111-1-1-1-11111-1-1-111111-1-111-1-111-1-11-11-1
χ172222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-22222222200002002-2-2-2-22-2-220000-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002002-2-2-2-2-222-200002222000000000000000000000000000000
χ19222222-122-1222222-1-1-12-1-1-1-12-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122-10000-1-1-1-1000000002-1-12-1-12020-1-1-1-100000000
χ20222222-122-1222222-1-1-12-1-1-1-12-122-1-1-1-1222222-1-1-1-1-2-211-111-1-1-1-1-1-122-10000-1-1-1-100000000-211-211-20-20111100000000
χ21222222-122-1222222-1-1-12-1-1-1-12-122-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-11-2-2100001111000000002-1-12-1-1-20-20111100000000
χ22222222-122-1222222-1-1-12-1-1-1-12-122-1-1-1-122-2-2-2-21111-2-211-111-1-1-1-1-11-2-210000111100000000-211-2112020-1-1-1-100000000
χ23222222-122-1-2-2-2-222-1-1-12-1-1-1-12-1-2-21111-2-22222-1-1-1-100−i3i3-1−i3i3-11111-1-2-2-100001111000000000−i3i30−i3i30000−i3i3−i3i300000000
χ24222222-122-1-2-2-2-222-1-1-12-1-1-1-12-1-2-21111-2-22222-1-1-1-100i3−i3-1i3−i3-11111-1-2-2-100001111000000000i3−i30i3−i30000i3−i3i3−i300000000
χ25222222-122-1-2-2-2-222-1-1-12-1-1-1-12-1-2-21111-2-2-2-2-2-2111100−i3i3-1−i3i3-1111112210000-1-1-1-1000000000−i3i30−i3i30000i3−i3i3−i300000000
χ26222222-122-1-2-2-2-222-1-1-12-1-1-1-12-1-2-21111-2-2-2-2-2-2111100i3−i3-1i3−i3-1111112210000-1-1-1-1000000000i3−i30i3−i30000−i3i3−i3i300000000
χ2722222-122-122222-1-122-1-12-1-1-1-12-1-12222-1-1000000002222-122-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200000000-1-100
χ2822222-122-122222-1-122-1-12-1-1-1-12-1-12222-1-1000000002222-122-1-1-1-1-10000-2-2-2-2000011111111-1-1-1-1-1-10-20-2000000001100
χ2922222-122-122222-1-122-1-12-1-1-1-12-1-12222-1-100000000-2-2-2-2-1-2-2-1-1-1-1-1000022220000-1-1-1-1-1-1-1-11111110-20-2000000001100
χ3022222-122-122222-1-122-1-12-1-1-1-12-1-12222-1-100000000-2-2-2-2-1-2-2-1-1-1-1-10000-2-2-2-2000011111111111111020200000000-1-100
χ312222-222-222000022222-2-2222-2-2000000002-2-2222220000-200-20000-200-22−22−2000022−2−222−2−2000000000000002−22−20000
χ322222-222-222000022222-2-2222-2-2000000002-2-2222220000-200-20000-200-2−22−220000−2−222−2−22200000000000000−22−220000
χ332222-222-222000022222-2-2222-2-200000000-222-2-2-2-2-20000-200-2000020022−22−2000022−2−222−2−200000000000000−22−220000
χ342222-222-222000022222-2-2222-2-200000000-222-2-2-2-2-20000-200-200002002−22−220000−2−222−2−222000000000000002−22−20000
χ3522-2-2222-2220000-2-2-2-22222-2-2-2-20000000022-2-222-2-20000200-20000200-22−2−22000022−2−2−2−222000000000000002−2−220000
χ3622-2-2222-2220000-2-2-2-22222-2-2-2-20000000022-2-222-2-20000200-20000200-2−222−20000−2−22222−2−200000000000000−222−20000
χ3722-2-2222-2220000-2-2-2-22222-2-2-2-200000000-2-222-2-2220000200-20000-20022−2−22000022−2−2−2−22200000000000000−222−20000
χ3822-2-2222-2220000-2-2-2-22222-2-2-2-200000000-2-222-2-2220000200-20000-2002−222−20000−2−22222−2−2000000000000002−2−220000
χ3922-2-2-22222222-2-2-2-2-2-22-2-22-2-22222-2-222-2-22-22-222-2-20000-2002-2-222-2-2220000-2-222000000000000000000000000000000
χ4022-2-2-22222222-2-2-2-2-2-22-2-22-2-22222-2-222-2-2-22-22-2-2220000-2002-2-22222-2-2000022-2-2000000000000000000000000000000
χ4122-2-2-22-122-122-2-2-2-211-1-21-1112-12211-1-1-2-22-22-2-1-11100−i3i31i3−i3-111-1-11-22-1000011-1-1000000000−i3i30i3−i30000−i3i3i3−i300000000
χ4222-2-2-22-122-122-2-2-2-211-1-21-1112-12211-1-1-2-22-22-2-1-11100i3−i31−i3i3-111-1-11-22-1000011-1-1000000000i3−i30−i3i30000i3−i3−i3i300000000
χ4322-2-2-22-122-122-2-2-2-211-1-21-1112-12211-1-1-2-2-22-2211-1-100−i3i31i3−i3-111-1-1-12-210000-1-111000000000−i3i30i3−i30000i3−i3−i3i300000000
χ4422-2-2-22-122-122-2-2-2-211-1-21-1112-12211-1-1-2-2-22-2211-1-100i3−i31−i3i3-111-1-1-12-210000-1-111000000000i3−i30−i3i30000−i3i3i3−i300000000
χ4522-2-2-22-122-1-2-222-2-211-1-21-1112-1-2-2-1-111222-22-2-1-1112-2-1-1111-1-1-11112-2-10000-1-111000000002-1-1-21120-20-1-11100000000
χ4622-2-2-22-122-1-2-222-2-211-1-21-1112-1-2-2-1-111222-22-2-1-111-22111-1-1-1-1-11112-2-10000-1-11100000000-2112-1-1-202011-1-100000000
χ4722-2-2-22-122-1-2-222-2-211-1-21-1112-1-2-2-1-11122-22-2211-1-12-2-1-1111-1-1-111-1-221000011-1-1000000002-1-1-211-202011-1-100000000
χ4822-2-2-22-122-1-2-222-2-211-1-21-1112-1-2-2-1-11122-22-2211-1-1-22111-1-1-1-1-111-1-221000011-1-100000000-2112-1-120-20-1-11100000000
χ4922-2-2-2-122-12-2-22211-2-2-11-2-111-121122-2-2-1-1000000002-2221-2-2-1-1-111000022-2-20000-1-1-1-11111-1-1-1111020-200000000-1100
χ5022-2-2-2-122-12-2-22211-2-2-11-2-111-121122-2-2-1-1000000002-2221-2-2-1-1-1110000-2-22200001111-1-1-1-1-1-1-11110-202000000001-100
χ5122-2-2-2-122-12-2-22211-2-2-11-2-111-121122-2-2-1-100000000-22-2-2122-1-1-111000022-2-20000-1-1-1-11111111-1-1-10-202000000001-100
χ5222-2-2-2-122-12-2-22211-2-2-11-2-111-121122-2-2-1-100000000-22-2-2122-1-1-1110000-2-22200001111-1-1-1-1111-1-1-1020-200000000-1100
χ5344444-244-24-4-4-4-4-2-244-2-24-2-2-2-2422-4-4-4-422000000000000-200-22222000000000000000000000000000000000000000000
χ5444444-2-24-2-24444-2-2-2-21-2-2111-2-2-2-2-2-2-2-2-2-20000000044-2-21-2-21111100000000000000000000-211-2110000000000000000
χ5544444-2-24-2-24444-2-2-2-21-2-2111-2-2-2-2-2-2-2-2-2-200000000-4-42212211111000000000000000000002-1-12-1-10000000000000000
χ5644444-2-24-2-2-4-4-4-4-2-2-2-21-2-2111-2-2222222220000000000−2i32i31−2i32i31-1-1-1-1000000000000000000000i3−i30i3−i30000000000000000
χ5744444-2-24-2-2-4-4-4-4-2-2-2-21-2-2111-2-22222222200000000002i3−2i312i3−2i31-1-1-1-1000000000000000000000−i3i30−i3i30000000000000000
χ584444-44-2-44-2000044-2-2-2-42-2-2-2-42000000004-4-44-2-2-2-2000020020000200200000000000000000000000000000000000000
χ594444-44-2-44-2000044-2-2-2-42-2-2-2-4200000000-444-42222000020020000-200-200000000000000000000000000000000000000
χ604444-4-24-4-240000-2-244-22-4-2-2-22-40000000000000000000020020000000022−2222−220000−2−222−2−2220000000000000000000000
χ614444-4-24-4-240000-2-244-22-4-2-2-22-400000000000000000000200200000000−2222−2222000022−2−222−2−20000000000000000000000
χ6244-4-444-2-44-20000-4-422-24-2-222-420000000044-4-4-2-2220000-20020000-200200000000000000000000000000000000000000
χ6344-4-444-2-44-20000-4-422-24-2-222-4200000000-4-44422-2-20000-20020000200-200000000000000000000000000000000000000
χ6444-4-44-24-4-24000022-4-4-2-24-2222-400000000000000000000-20020000000022−22−22220000−2−22222−2−20000000000000000000000
χ6544-4-44-24-4-24000022-4-4-2-24-2222-400000000000000000000-200200000000−222222−22000022−2−2−2−2220000000000000000000000
χ6644-4-4-4-244-2444-4-422-4-4-22-4-222-24-2-2-4-44422000000000000200-222-2-2000000000000000000000000000000000000000000
χ6744-4-4-4-2-24-2-244-4-422221221-1-1-2-2-2-222-2-2220000000000−2i32i3-12i3−2i31-1-111000000000000000000000i3−i30−i3i30000000000000000
χ6844-4-4-4-2-24-2-244-4-422221221-1-1-2-2-2-222-2-22200000000002i3−2i3-1−2i32i31-1-111000000000000000000000−i3i30i3−i30000000000000000
χ6944-4-4-4-2-24-2-2-4-44422221221-1-1-2-222-2-222-2-2000000004-4-2-2-122111-1-100000000000000000000-2112-1-10000000000000000
χ7044-4-4-4-2-24-2-2-4-44422221221-1-1-2-222-2-222-2-200000000-4422-1-2-2111-1-1000000000000000000002-1-1-2110000000000000000
χ714-44i−4i0440-4-4−2i22i222−224i−4i4i−4i400-44i−4i00−2i22i222−22−2i22i222−22000000000000000022−22−2i22i2000000000000000000000000000000000000000000
χ724-44i−4i0440-4-42i2−2i2−22224i−4i4i−4i400-44i−4i002i2−2i2−22222i2−2i2−22220000000000000000−22222i2−2i2000000000000000000000000000000000000000000
χ734-44i−4i04-20-42−2i22i222−224i−4i−2i2i-2002−2i2i00−2i22i2−22i2−i222−220000−2i32i323−2300000000−22i2−i200000000i6−i66−6000000000000000000000000000000
χ744-44i−4i04-20-42−2i22i222−224i−4i−2i2i-2002−2i2i00−2i22i2−22i2−i222−2200002i3−2i3−232300000000−22i2−i200000000−i6i6−66000000000000000000000000000000
χ754-44i−4i04-20-422i2−2i2−22224i−4i−2i2i-2002−2i2i002i2−2i22−2−i2i2−22220000−2i32i323−23000000002−2−i2i200000000−i6i6−66000000000000000000000000000000
χ764-44i−4i04-20-422i2−2i2−22224i−4i−2i2i-2002−2i2i002i2−2i22−2−i2i2−222200002i3−2i3−2323000000002−2−i2i200000000i6−i66−6000000000000000000000000000000
χ774-44i−4i0-2402-4−2i22i222−22−2i2i4i−4i-2002−2i2i00i2−i222−22−2i22i2−220000000000000000−22i2−i2000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000000000
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χ834-4−4i4i04-20-42−2i22i2−2222−4i4i2i−2i-20022i−2i00−2i22i22−2i2−i2−22220000−2i32i3−2323000000002−2i2−i200000000−i6i66−6000000000000000000000000000000
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χ854-4−4i4i04-20-422i2−2i222−22−4i4i2i−2i-20022i−2i002i2−2i2−22−i2i222−220000−2i32i3−232300000000−22−i2i200000000i6−i6−66000000000000000000000000000000
χ864-4−4i4i04-20-422i2−2i222−22−4i4i2i−2i-20022i−2i002i2−2i2−22−i2i222−2200002i3−2i323−2300000000−22−i2i200000000−i6i66−6000000000000000000000000000000
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χ918888-8-4-4-8-4-40000-4-4-4-42442224400000000000000000000-200-20000000000000000000000000000000000000000000000
χ9288-8-88-4-4-8-4-4000044442-4-42-2-24400000000000000000000200-20000000000000000000000000000000000000000000000
χ938-88i−8i0-4-4044−4i24i242−42−4i4i−4i4i200-22i−2i002i2−2i2−22222i2−2i2−222200000000000000002−2−i2i2000000000000000000000000000000000000000000
χ948-88i−8i0-4-40444i2−4i2−4242−4i4i−4i4i200-22i−2i00−2i22i222−22−2i22i222−220000000000000000−22i2−i2000000000000000000000000000000000000000000
χ958-8−8i8i0-4-4044−4i24i2−42424i−4i4i−4i200-2−2i2i002i2−2i222−222i2−2i222−220000000000000000−22−i2i2000000000000000000000000000000000000000000
χ968-8−8i8i0-4-40444i2−4i242−424i−4i4i−4i200-2−2i2i00−2i22i2−2222−2i22i2−222200000000000000002−2i2−i2000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.