Finite Group Databasebeta

← Group #11889289

Character table — Group #11889289

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order12223344666666366688121212122424242444121212124412121212121224242424242422244446688242424241212121212122466812121212242424612448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1111-1-1-11-1-1-11111-1-111-11-11-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1-111-111-1-1-1-1-1-1-1111-1-11-1-1-11-111-111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11-1-1-1111-111-11-1-11-1-1111-11-1-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-1-111-11111-1-1-1-111-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1111-1-11-1-1111111-1111-1-1-1111-11-1-11-1-1-1-1-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1111-1-11-1111-1-1-1-111111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1111-1-1-1-11111-1-1-1-11-1-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1-111-11-1-11-111-11111-111-1-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200200-2-2-200000000000000000-200200-2200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200-2002-2-200000000000000000200-2002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200200-22200000000000000000-2002002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200-20022200000000000000000200-200-2200000
χ2122222-122-122-1-12-1-1-1-122-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12220220-1-122-1-1-1-122-1-1-1-100-1-100-1-10000000000
χ2222222-122-122-1-12-1-1-1-122-122-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-12-2-20-2-20-1-122-1-1-1-1-2-21111001100110000000000
χ2322222-122-122-1-12-1-1-1-122-122-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2011-2-2111122-1-1-1-1001100110000000000
χ2422222-122-122-1-12-1-1-1-122-122-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1-222022011-2-21111-2-2111100-1-100-1-10000000000
χ2522222-122-122-1-12-1-1-1-1-2-2-122-1111122-1-1-1-12-2-1-111-1-1-2-211112-2-20220-1-1-2-21111-22-1-111001100-1-10000000000
χ2622222-122-122-1-12-1-1-1-1-2-2-122-1111122-1-1-1-1-2211-1-1-1-1-2-211112220-2-20-1-1-2-211112-211-1-100-1-100110000000000
χ2722222-122-122-1-12-1-1-1-1-2-2-122-11111-2-211112-2-1-111-1-1-2-21111-2220-2-201122-1-1-1-1-22-1-11100-1-100110000000000
χ2822222-122-122-1-12-1-1-1-1-2-2-122-11111-2-21111-2211-1-1-1-1-2-21111-2-2-202201122-1-1-1-12-211-1-1001100-1-10000000000
χ292222-12222-1-122-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1000200200000000-1-1-1-1-1-122002-100-1-1-100-1-1000
χ302222-12222-1-122-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1000-200-200000000-1-1-1-1-1-1-2-200-21001110011000
χ312222-12222-1-122-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000200200000000111111-2-2002-100-1-1-10011000
χ322222-12222-1-122-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000-200-2000000001111112200-210011100-1-1000
χ332222-12222-1-122-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-11111110002002000000001-1-1-111-2200-2-100-111001-1000
χ342222-12222-1-122-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111000-200-2000000001-1-1-1112-20021001-1-100-11000
χ352222-12222-1-122-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111000200200000000-1111-1-12-200-2-100-11100-11000
χ362222-12222-1-122-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111000-200-200000000-1111-1-1-220021001-1-1001-1000
χ372-2-22222-2-22-22-2-22-2-222i−2i2-22-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i02-202i−2i000000000000000002-2002i−2i0000000000
χ382-2-22222-2-22-22-2-22-2-222i−2i2-22-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i0-220−2i2i00000000000000000-2200−2i2i0000000000
χ392-2-22222-2-22-22-2-22-2-22−2i2i2-22-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i02-20−2i2i000000000000000002-200−2i2i0000000000
χ402-2-22222-2-22-22-2-22-2-22−2i2i2-22-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i0-2202i−2i00000000000000000-22002i−2i0000000000
χ412-2-222-12-212-2-11-2-111-12i−2i-1-221−i−iii00−i3−i3i3i3003−3−i3i3-112i−2i−i−iii02-202i−2i0−i3i30033−3−3003−3−i3i300-1100−ii0000000000
χ422-2-222-12-212-2-11-2-111-12i−2i-1-221−i−iii00−i3−i3i3i300−33i3−i3-112i−2i−i−iii0-220−2i2i0−i3i30033−3−300−33i3−i3001-100i−i0000000000
χ432-2-222-12-212-2-11-2-111-12i−2i-1-221−i−iii00i3i3−i3−i3003−3−i3i3-112i−2i−i−iii0-220−2i2i0i3−i300−3−333003−3−i3i3001-100i−i0000000000
χ442-2-222-12-212-2-11-2-111-12i−2i-1-221−i−iii00i3i3−i3−i300−33i3−i3-112i−2i−i−iii02-202i−2i0i3−i300−3−33300−33i3−i300-1100−ii0000000000
χ452-2-222-12-212-2-11-2-111-1−2i2i-1-221ii−i−i00−i3−i3i3i3003−3i3−i3-11−2i2iii−i−i0-2202i−2i0−i3i300−3−333003−3i3−i3001-100−ii0000000000
χ462-2-222-12-212-2-11-2-111-1−2i2i-1-221ii−i−i00−i3−i3i3i300−33−i3i3-11−2i2iii−i−i02-20−2i2i0−i3i300−3−33300−33−i3i300-1100i−i0000000000
χ472-2-222-12-212-2-11-2-111-1−2i2i-1-221ii−i−i00i3i3−i3−i3003−3i3−i3-11−2i2iii−i−i02-20−2i2i0i3−i30033−3−3003−3i3−i300-1100i−i0000000000
χ482-2-222-12-212-2-11-2-111-1−2i2i-1-221ii−i−i00i3i3−i3−i300−33−i3i3-11−2i2iii−i−i0-2202i−2i0i3−i30033−3−300−33−i3i3001-100−ii0000000000
χ4944444-2-4-4-244-2-24-2-2-2-2002-4-42000044-2-2-2-200000022000000-400000022000000000000000000000000000000
χ5044444-2-4-4-244-2-24-2-2-2-2002-4-420000-4-42222000000220000004000000-2-2000000000000000000000000000000
χ514444-24-4-44-2-244-2-2-2-2-200-422-4000000000000000022000000000400-40000000000000000000200-2000000000
χ524444-24-4-44-2-244-2-2-2-2-200-422-4000000000000000022000000000-40040000000000000000000-2002000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-2-21111000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-2111100000000000000022-1-1-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-10000000000000002-211-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-1000000000000000-22-1-111000000000000000000
χ5744-4-444004-4-4-4-444-44-400000000004i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000
χ5844-4-444004-4-4-4-444-44-40000000000−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000
χ5944-4-44-200-2-4-4224-22-220000006−66−64i−4i−2i2i−2i2i00000000006−66−600000000000i6−i6i6−i6000000000000000000000000
χ6044-4-44-200-2-4-4224-22-220000006−66−6−4i4i2i−2i2i−2i00000000006−66−600000000000−i6i6−i6i6000000000000000000000000
χ6144-4-44-200-2-4-4224-22-22000000−66−664i−4i−2i2i−2i2i0000000000−66−6600000000000−i6i6−i6i6000000000000000000000000
χ6244-4-44-200-2-4-4224-22-22000000−66−66−4i4i2i−2i2i−2i0000000000−66−6600000000000i6−i6i6−i6000000000000000000000000
χ634-44-44400-4-44-44-444-4-4000000000000000000000000000000000000000−2i22i2−2i22i22i2−2i2000000000000000000000000
χ644-44-44400-4-44-44-444-4-40000000000000000000000000000000000000002i2−2i22i2−2i2−2i22i2000000000000000000000000
χ654-44-44-2002-442-2-4-2-222000000i6−i6−i6i60023−23−23230000000000i6−i6−i6i6000000000−2i22i2i2−i2−i2i2000000000000000000000000
χ664-44-44-2002-442-2-4-2-222000000i6−i6−i6i600−232323−230000000000i6−i6−i6i60000000002i2−2i2−i2i2i2−i2000000000000000000000000
χ674-44-44-2002-442-2-4-2-222000000−i6i6i6−i60023−23−23230000000000−i6i6i6−i60000000002i2−2i2−i2i2i2−i2000000000000000000000000
χ684-44-44-2002-442-2-4-2-222000000−i6i6i6−i600−232323−230000000000−i6i6i6−i6000000000−2i22i2i2−i2−i2i2000000000000000000000000
χ694-4-4444-44-44-44-4-44-4-4400-44-440000000000000000-44000000000000000000000000000000000000000000000
χ704-4-444-2-4424-4-22-4-222-20024-4-2000000−2i3−2i32i32i30000002-200000000000002i3−2i3000000000000000000000000000000
χ714-4-444-2-4424-4-22-4-222-20024-4-20000002i32i3−2i3−2i30000002-20000000000000−2i32i3000000000000000000000000000000
χ724-4-44-244-4-4-224-42-222-24i−4i42-2-44i4i−4i−4i000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ734-4-44-244-4-4-224-42-222-2−4i4i42-2-4−4i−4i4i4i000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ744-4-44-24-44-4-224-42-222-200-4-22400000000000000002-200000000000000000000000000000000000023−230000000
χ754-4-44-24-44-4-224-42-222-200-4-22400000000000000002-2000000000000000000000000000000000000−23230000000
χ764-4-44-2-24-42-22-2221-1-114i−4i-22-22−2i−2i2i2i0000000023−23−2i32i31-1−2i2iii−i−i00000000000000000−33i3−i3000000000000000000
χ774-4-44-2-24-42-22-2221-1-114i−4i-22-22−2i−2i2i2i00000000−23232i3−2i31-1−2i2iii−i−i000000000000000003−3−i3i3000000000000000000
χ784-4-44-2-24-42-22-2221-1-11−4i4i-22-222i2i−2i−2i0000000023−232i3−2i31-12i−2i−i−iii00000000000000000−33−i3i3000000000000000000
χ794-4-44-2-24-42-22-2221-1-11−4i4i-22-222i2i−2i−2i00000000−2323−2i32i31-12i−2i−i−iii000000000000000003−3i3−i3000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-4800844-8-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-42-22-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000
χ8388-8-8-4-400-44444-42-22-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000
χ848-88-8-4800-84-4-884-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-4422-2-20000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ868-88-8-4-40044-44-4422-2-2000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ878-8-88-4-4-884-44-4442-2-22004-44-40000000000000000-22000000000000000000000000000000000000000000000

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