Finite Group Databasebeta

← Group #11889430

Character table — Group #11889430

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order122233446666663666881212121224242424224412121212121224242424242424444446666881212121224242424121212121212448121212122424441212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1111-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ51111111111111111111111111111-1-111111111111111111-1111-1-111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111111-1-11111-1-11111-1-1-1-11-111-1-1-11-111-1-1-1-111-111-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-11-111-1-1-111-1-11111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-11-1-1111-1-1-1-111-1-1111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1111-1-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1111-11-1-1-1-11111-1-11111111-111-1-11-1-111-1-1-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-111-1-11-11-1-11111111-11-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-1111-1-11111-1-1111111-11-1-111-11-1-1-111-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11111-1-11111-11-11-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000200-2-200222200-2-2-2-20000000000000000000-2200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-2000000-200-220022-2-200-2-22200000000000000000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-20000002002-200-2-2220022-2-200000000000000000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000-2002200-2-2-2-20022220000000000000000000-2200000
χ2122222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1222022200-1-10000-1-1000022-1-1-1-1002-1-1-1-1-1-10000000
χ2222222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-20011000011000022-1-1-1-100-21111110000000
χ2322222-1222-1-122-1-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-12-2-202-2-200-1-10000-1-10000-2-211110021111-1-10000000
χ2422222-1222-1-122-1-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1-2220-22200110000110000-2-2111100-2-1-1-1-1110000000
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-111111122202-2-200-1-10000-1-100002-2-1-11100-2-1-111110000000
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-1111111-2-2-20-222001100001100002-2-1-11100211-1-1-1-10000000
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-11111112-2-2022200-1-10000-1-10000-2211-1-100-211-1-1110000000
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-1111111-2220-2-2-200110000110000-2211-1-1002-1-111-1-10000000
χ292222-1222-122-1-12-1-1-1-122-12-12-1-1-1-122222222-1-122-1-1-1-10002000-1-10022-1-100-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-122-1-12-1-1-1-122-12-12-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-10002000-1-10022-1-100-1-1-1-1111111-2-200000000011000
χ312222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2222222-1-122-1-1-1-1000-20001100-2-211001111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1000-20001100-2-21100111111111122000000000-1-1000
χ332222-1222-122-1-12-1-1-1-1-2-2-12-121111222-222-2-2-1-1-2-211110002000-1-100-2-2-1-1001111-11-1-111-220000000001-1000
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12111122-22-2-222-1-1-2-211110002000-1-100-2-2-1-10011111-111-1-12-2000000000-11000
χ352222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-22-222-2-2-1-1-2-21111000-20001100221100-1-1-1-1-11-1-1112-2000000000-11000
χ362222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-2-22-2-222-1-1-2-21111000-20001100221100-1-1-1-11-111-1-1-220000000001-1000
χ372-2-2222-22-2-2-2-2222-2-222i−2i22-2-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i02i−2i002-2000000000000000000000002i−2i2-2000000000
χ382-2-2222-22-2-2-2-2222-2-222i−2i22-2-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i0−2i2i00-2200000000000000000000000−2i2i-22000000000
χ392-2-2222-22-2-2-2-2222-2-22−2i2i22-2-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i02i−2i00-22000000000000000000000002i−2i-22000000000
χ402-2-2222-22-2-2-2-2222-2-22−2i2i22-2-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i0−2i2i002-200000000000000000000000−2i2i2-2000000000
χ412-2-222-1-22-211-22-1-111-12i−2i2-1-212i2i−2i−2i00003−3−i3i3-11−ii−i−iii02i−2i002-200−i3i30000−i3i30000003−3−i3i3000−ii-113−30000000
χ422-2-222-1-22-211-22-1-111-12i−2i2-1-212i2i−2i−2i00003−3−i3i3-11−ii−i−iii0−2i2i00-2200i3−i30000i3−i30000003−3−i3i3000i−i1-1−330000000
χ432-2-222-1-22-211-22-1-111-12i−2i2-1-212i2i−2i−2i0000−33i3−i3-11−ii−i−iii02i−2i002-200i3−i30000i3−i3000000−33i3−i3000−ii-11−330000000
χ442-2-222-1-22-211-22-1-111-12i−2i2-1-212i2i−2i−2i0000−33i3−i3-11−ii−i−iii0−2i2i00-2200−i3i30000−i3i3000000−33i3−i3000i−i1-13−30000000
χ452-2-222-1-22-211-22-1-111-1−2i2i2-1-21−2i−2i2i2i00003−3i3−i3-11i−iii−i−i02i−2i00-2200−i3i30000−i3i30000003−3i3−i3000−ii1-1−330000000
χ462-2-222-1-22-211-22-1-111-1−2i2i2-1-21−2i−2i2i2i00003−3i3−i3-11i−iii−i−i0−2i2i002-200i3−i30000i3−i30000003−3i3−i3000i−i-113−30000000
χ472-2-222-1-22-211-22-1-111-1−2i2i2-1-21−2i−2i2i2i0000−33−i3i3-11i−iii−i−i02i−2i00-2200i3−i30000i3−i3000000−33−i3i3000−ii1-13−30000000
χ482-2-222-1-22-211-22-1-111-1−2i2i2-1-21−2i−2i2i2i0000−33−i3i3-11i−iii−i−i0−2i2i002-200−i3i30000−i3i3000000−33−i3i3000i−i-11−330000000
χ4944444-2-4-44-2-244-2-2-2-2-200-42-42000000000000220000004000-40000-2-200002200000000000000000000000000
χ5044444-2-4-44-2-244-2-2-2-2-200-42-4200000000000022000000-400040000220000-2-200000000000000000000000000
χ514444-24-4-4-244-2-24-2-2-2-2002-42-400004400000022000000000-4000-2-20000220000000000000000000000000000
χ524444-24-4-4-244-2-24-2-2-2-2002-42-40000-4-4000000220000000004000220000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-2-211110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-2111100000000000000000000022-1-1-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5744-4-44400-44-44-4-44-44-4000000000000000000000000000000000000022−2200002222−22−220000000000000000000000
χ5844-4-44400-44-44-4-44-44-40000000000000000000000000000000000000−22220000−22−2222220000000000000000000000
χ5944-4-4-240024-4-22-4-22-220000006−66−60000000000006−66−60000000000022−2223−2300−2−2220000000000000000000000
χ6044-4-4-240024-4-22-4-22-220000006−66−60000000000006−66−600000000000−2222−23230022−2−20000000000000000000000
χ6144-4-4-240024-4-22-4-22-22000000−66−66000000000000−66−660000000000022−22−232300−2−2220000000000000000000000
χ6244-4-4-240024-4-22-4-22-22000000−66−66000000000000−66−6600000000000−222223−230022−2−20000000000000000000000
χ634-44-444004-44-4-4-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ644-44-444004-44-4-4-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ654-44-4-2400-2-4422-4-2-222000000i6−i6−i6i64-40000000000i6−i6−i6i60000000-2200000000i6−i6i6−i60000000000000000000000
χ664-44-4-2400-2-4422-4-2-222000000i6−i6−i6i6-440000000000i6−i6−i6i600000002-200000000−i6i6−i6i60000000000000000000000
χ674-44-4-2400-2-4422-4-2-222000000−i6i6i6−i64-40000000000−i6i6i6−i60000000-2200000000−i6i6−i6i60000000000000000000000
χ684-44-4-2400-2-4422-4-2-222000000−i6i6i6−i6-440000000000−i6i6i6−i600000002-200000000i6−i6i6−i60000000000000000000000
χ694-4-44444-4-4-4-4-4444-4-4400-4-444000000000000-440000000000000000000000000000000000000000000000000
χ704-4-444-24-4-422-44-2-222-200-424-20000000000002-2000000000000000−2i32i300002i3−2i300000000000000000000000000
χ714-4-444-24-4-422-44-2-222-200-424-20000000000002-20000000000000002i3−2i30000−2i32i300000000000000000000000000
χ724-4-44-244-42-4-42-24-222-2002-4-240000000000002-200000000000000000000000−2i32i32i3−2i30000000000000000000000
χ734-4-44-244-42-4-42-24-222-2002-4-240000000000002-2000000000000000000000002i3−2i3−2i32i30000000000000000000000
χ744-4-44-24-442-4-42-24-222-24i−4i-242-4−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ754-4-44-24-442-4-42-24-222-2−4i4i-242-42i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ764-4-44-2-2-442222-2-21-1-114i−4i-2-222−2i−2i2i2i000023−23−2i32i31-1−2i2iii−i−i00000000000000000000000−33i3−i30000000000000000
χ774-4-44-2-2-442222-2-21-1-114i−4i-2-222−2i−2i2i2i0000−23232i3−2i31-1−2i2iii−i−i000000000000000000000003−3−i3i30000000000000000
χ784-4-44-2-2-442222-2-21-1-11−4i4i-2-2222i2i−2i−2i000023−232i3−2i31-12i−2i−i−iii00000000000000000000000−33−i3i30000000000000000
χ794-4-44-2-2-442222-2-21-1-11−4i4i-2-2222i2i−2i−2i0000−2323−2i32i31-12i−2i−i−iii000000000000000000000003−3i3−i30000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-88-400-8-448-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-4442-22-200000026−2626−26000000000000−66−660000000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-4442-22-2000000−2626−26260000000000006−66−60000000000000000000000000000000000000000000
χ848-88-88-40084-4-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-444422-2-20000002i6−2i6−2i62i6000000000000−i6i6i6−i60000000000000000000000000000000000000000000
χ868-88-8-4-400-44-444422-2-2000000−2i62i62i6−2i6000000000000i6−i6−i6i60000000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-42-2-220044-4-4000000000000-220000000000000000000000000000000000000000000000000

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