Finite Group Databasebeta

← Group #11792250

Character table — Group #11792250

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666666663666666666121212121212121244121212121212121212121212121212121212121244441212121212121212226666888824242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-11-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ112222222-122222-1-1-12-12-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ122222222-122222-1-1-12-12-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211110000000000000000
χ132222222-122222-1-1-12-12-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211-2-211-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ142222222-122222-1-1-12-12-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211-2-211-1-1-1-111111111-2-2-2-21111111122-1-1-1-10000000000000000
χ152222222-1-2-2-2-22-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-2-21111-2-22-222-1-1-2-2111111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i300−i3−i3i3i30000000000000000
χ162222222-1-2-2-2-22-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-2-21111-2-22-222-1-1-2-2111111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i300i3i3−i3−i30000000000000000
χ172222222-1-2-2-2-22-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-2-21111-2-2-22-2-21122-1-111111111-1-1-1-10000−i3−i3−i3−i3i3i3i3i300i3i3−i3−i30000000000000000
χ182222222-1-2-2-2-22-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-2-21111-2-2-22-2-21122-1-111111111-1-1-1-10000i3i3i3i3−i3−i3−i3−i300−i3−i3i3i30000000000000000
χ19222222-122222-1222-12-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222-122222-1222-12-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ21222222-122222-1222-12-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-2-211-2-211-2-2-1-1-1-11111111100000000000000000022-2-2-1-1-1-111110000
χ22222222-122222-1222-12-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-2-211-2-211-2-2-1-1-1-111111111000000000000000000-2-2221111-1-1-1-10000
χ23222222-12-2-2-2-2-1222-12-1222-1-1-1-1-1-1-1-1-1-111-2-2-2-2112-2-1-12211-2-21111-1-1-1-11111000000000000000000000033−3−333−3−30000
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χ25222222-12-2-2-2-2-1222-12-1222-1-1-1-1-1-1-1-1-1-111-2-2-2-211-2211-2-2-1-12211111111-1-1-1-1000000000000000000000033−3−3−3−3330000
χ26222222-12-2-2-2-2-1222-12-1222-1-1-1-1-1-1-1-1-1-111-2-2-2-211-2211-2-2-1-12211111111-1-1-1-10000000000000000000000−3−33333−3−30000
χ272222-2-2222-22-222-2-22222-2-22-2-22-2-2-2-2222-222-2-22-2000000000022-2-200000000000000000000000000000000000000020-2
χ282222-2-2222-22-222-2-22222-2-22-2-22-2-2-2-2222-222-2-22-2000000000022-2-2000000000000000000000000000000000000000-202
χ292222-2-222-22-2222-2-22222-2-22-2-22-2-2-2-222-22-2-222-220000000000-2-2220000000000000000000000000000000000000020-20
χ302222-2-222-22-2222-2-22222-2-22-2-22-2-2-2-222-22-2-222-220000000000-2-22200000000000000000000000000000000000000-2020
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χ322-2-222-22222-2-2-2-22222-2-2-2-222-2-222-2-22-2222-22-2-2-200000000002-22-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-2-222-222-2-222-2-22222-2-2-2-222-2-222-2-22-2-2-2-22-22220000000000-22-22000000000000000000002-22-22-20000000000000000
χ342-2-222-222-2-222-2-22222-2-2-2-222-2-222-2-22-2-2-2-22-22220000000000-22-2200000000000000000000-22-22-220000000000000000
χ352-2-222-22-122-2-2-21-1-12-1-2111-12-21-1-111-1122-11-11-2-200003−3003−3-11-1133−3−333−3−32i2i−2i−2i−i−iii−i−iii00−i3i3i3−i30000000000000000
χ362-2-222-22-122-2-2-21-1-12-1-2111-12-21-1-111-1122-11-11-2-200003−3003−3-11-1133−3−333−3−3−2i−2i2i2iii−i−iii−i−i00i3−i3−i3i30000000000000000
χ372-2-222-22-122-2-2-21-1-12-1-2111-12-21-1-111-1122-11-11-2-20000−3300−33-11-11−3−333−3−3332i2i−2i−2i−i−iii−i−iii00i3−i3−i3i30000000000000000
χ382-2-222-22-122-2-2-21-1-12-1-2111-12-21-1-111-1122-11-11-2-20000−3300−33-11-11−3−333−3−333−2i−2i2i2iii−i−iii−i−i00−i3i3i3−i30000000000000000
χ392-2-222-22-1-2-222-21-1-12-1-2111-12-21-1-111-11-2-21-11-12200003−300−331-11-133−3−3−3−333000033−3−3−3−3332-2-11-110000000000000000
χ402-2-222-22-1-2-222-21-1-12-1-2111-12-21-1-111-11-2-21-11-12200003−300−331-11-133−3−3−3−3330000−3−33333−3−3-221-11-10000000000000000
χ412-2-222-22-1-2-222-21-1-12-1-2111-12-21-1-111-11-2-21-11-1220000−33003−31-11-1−3−33333−3−3000033−3−3−3−333-221-11-10000000000000000
χ422-2-222-22-1-2-222-21-1-12-1-2111-12-21-1-111-11-2-21-11-1220000−33003−31-11-1−3−33333−3−30000−3−33333−3−32-2-11-110000000000000000
χ432-2-22-22222-2-22-2-2-2-222-2-2222-22-2-2-2222-22-22-2-22-2200000000002-2-2200000000000000000000000000002-200002-22-20000
χ442-2-22-22222-2-22-2-2-2-222-2-2222-22-2-2-2222-22-22-2-22-2200000000002-2-220000000000000000000000000000-220000-22-220000
χ452-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2222-2-22-222-22-20000000000-222-2000000000000000000000000002-2002-22-200000000
χ462-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2222-2-22-222-22-20000000000-222-200000000000000000000000000-2200-22-2200000000
χ472-2-22-22-122-2-221-2-2-2-121-222-11-1111-1-1-11-112-2-221-1003−3003−300-111-13−33−33−33−3000000000000000000002-23−3−33-11-110000
χ482-2-22-22-122-2-221-2-2-2-121-222-11-1111-1-1-11-112-2-221-1003−3003−300-111-13−33−33−33−300000000000000000000-22−333−31-11-10000
χ492-2-22-22-122-2-221-2-2-2-121-222-11-1111-1-1-11-112-2-221-100−3300−3300-111-1−33−33−33−33000000000000000000002-2−333−3-11-110000
χ502-2-22-22-122-2-221-2-2-2-121-222-11-1111-1-1-11-112-2-221-100−3300−3300-111-1−33−33−33−3300000000000000000000-223−3−331-11-10000
χ512-2-22-22-12-222-21-2-2-2-121-222-11-1111-1-1-111-1-222-2-11003−300−33001-1-113−33−3−33−330000000000000000002-200-11-11−333−30000
χ522-2-22-22-12-222-21-2-2-2-121-222-11-1111-1-1-111-1-222-2-11003−300−33001-1-113−33−3−33−33000000000000000000-22001-11-13−3−330000
χ532-2-22-22-12-222-21-2-2-2-121-222-11-1111-1-1-111-1-222-2-1100−33003−3001-1-11−33−333−33−30000000000000000002-200-11-113−3−330000
χ542-2-22-22-12-222-21-2-2-2-121-222-11-1111-1-1-111-1-222-2-1100−33003−3001-1-11−33−333−33−3000000000000000000-22001-11-1−333−30000
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222224-4-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-442222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
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χ654444-4-4-2-2-44-44-2-222-2-2-2-2221221-1-1-1-1112-222-2-22-20000000000-1-1113-3-33-333-30000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-222-2-2-2-2221221-1-1-1-1112-222-2-22-20000000000-1-111-333-33-3-330000000000000000000000000000000000
χ6744-4-4004400004400-4-4-4-40040040000-4-40000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ6844-4-4004400004400-4-4-4-40040040000-4-4000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ6944-4-4004-200004-2−2i32i3-42-42−2i32i3-200-2−2i32i3−2i32i3220000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ7044-4-4004-200004-2−2i32i3-42-42−2i32i3-200-2−2i32i3−2i32i322000000000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ7144-4-4004-200004-22i3−2i3-42-422i3−2i3-200-22i3−2i32i3−2i3220000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ7244-4-4004-200004-22i3−2i3-42-422i3−2i3-200-22i3−2i32i3−2i322000000000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ734-44-400440000-4-400-4-44400400-40000-440000000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ744-44-400440000-4-400-4-44400400-40000-44000000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ754-44-4004-20000-42−2i32i3-424-22i3−2i3-2002−2i32i32i3−2i32-20000000000000000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000
χ764-44-4004-20000-42−2i32i3-424-22i3−2i3-2002−2i32i32i3−2i32-2000000000000000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000000000000000000000
χ774-44-4004-20000-422i3−2i3-424-2−2i32i3-20022i3−2i3−2i32i32-20000000000000000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000
χ784-44-4004-20000-422i3−2i3-424-2−2i32i3-20022i3−2i3−2i32i32-2000000000000000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000000000000000000000
χ794-4-444-4-2444-4-42-444-242-4-4-4-2-222-2-222-22-2-24-44-4220000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-4-24-4-4442-444-242-4-4-4-2-222-2-222-2222-44-44-2-200000000002-22-2000000000000000000000000000000000000000000
χ814-4-444-4-2-244-4-422-2-2-2-222221-22-111-1-11-1-2-2-22-2222000023−230023−231-11-1−3−333−3−3330000000000000000000000000000000000
χ824-4-444-4-2-244-4-422-2-2-2-222221-22-111-1-11-1-2-2-22-22220000−232300−23231-11-133−3−333−3−30000000000000000000000000000000000
χ834-4-444-4-2-2-4-44422-2-2-2-222221-22-111-1-11-1222-22-2-2-2000023−2300−2323-11-11−3−33333−3−30000000000000000000000000000000000
χ844-4-444-4-2-2-4-44422-2-2-2-222221-22-111-1-11-1222-22-2-2-20000−23230023−23-11-1133−3−3−3−3330000000000000000000000000000000000
χ854-4-44-444-24-4-44-42224-2-42-2-2-2-44222-2-2-224-4-222-2-440000000000-222-2000000000000000000000000000000000000000000
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χ904-4-44-44-2-2-444-42222-2-222-2-212-2-1-1-1111-12-22-2-22-2200−23230023−2300-111-13−33−3−33−330000000000000000000000000000000000
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χ9288-8-800-4-40000-4-4−4i34i34444−4i34i320022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-4-44i3−4i344444i3−4i32002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-8004-8-4800-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-4000044−4i34i344-4-44i3−4i3200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000444i3−4i344-4-4−4i34i3200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.