Finite Group Databasebeta

← Group #11889780

Character table — Group #11889780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order122233446666663666881212121224242424224412121212121224242424242422444446688121212121212242424241212121212124466812122424241212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-1111-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111111-1111-1-1-1-11111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-11111-1-111-1-11-11-11
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-11-1-111-11-1-1-111-1-1111-1-11-1
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-11111-1-1111-1-1111111-1-1-1-11-111-1-11-111-1-1-1-1-111-111-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-111-1-1-1-11-111-1-11-1-1-111111-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1111-1111-1-11111-11-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11-1111-1-1111111-1-11111-11-1-1111-1-1-1-111-1-1-1-1-111-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-1-11-1-1111111-1-111111-111-1-1-1111-1-1-1-1-1-1-11-1-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111-111-1-1-11-1-111111111-11-1-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000002-200-2220022-2-2-2-200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-200000000-2-20022200-2-222-2-20000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000002200-2-2-20022-2-2220000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-200000000-22002-2-200-2-2222200000000000000000002-200000
χ2122222-1222-1-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-122202220000-1-1-1-100000022-1-1-1-100-1-12-1-1-1-10000000
χ2222222-1222-1-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-20000111100000022-1-1-1-10011-211110000000
χ2322222-1222-1-12-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-122-2022-200001111000000-2-2111100-1-1-2-1-1110000000
χ2422222-1222-1-12-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-1-2-220-2-220000-1-1-1-1000000-2-211110011211-1-10000000
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-111111122-20-2-2-200001111000000-2211-1-100-1-1211-1-10000000
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-1111111-2-2202220000-1-1-1-1000000-2211-1-10011-2-1-1110000000
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-11111112220-2-220000-1-1-1-10000002-2-1-11100-1-1-211110000000
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-1111111-2-2-2022-2000011110000002-2-1-11100112-1-1-1-10000000
χ292222-1222-122-12-1-1-1-1-122-122-1-1-1-1-122222222-1-122-1-1-1-10002000-1-1220000-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-122-12-1-1-1-1-122-122-1-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-10002000-1-1220000-1-1-1-1-1-1111111-2-200000000011000
χ312222-1222-122-12-1-1-1-1-122-122-1-1-1-1-1-2-2222222-1-122-1-1-1-1000-200011-2-20000111111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-122-12-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1000-200011-2-2000011111111111122000000000-1-1000
χ332222-1222-122-12-1-1-1-1-1-2-2-122-11111222-222-2-2-1-1-2-211110002000-1-1-2-20000-1-111111-111-1-1-22000000000-11000
χ342222-1222-122-12-1-1-1-1-1-2-2-122-1111122-22-2-222-1-1-2-211110002000-1-1-2-20000-1-11111-11-1-1112-20000000001-1000
χ352222-1222-122-12-1-1-1-1-1-2-2-122-11111-2-22-222-2-2-1-1-2-21111000-20001122000011-1-1-1-11-111-1-12-20000000001-1000
χ362222-1222-122-12-1-1-1-1-1-2-2-122-11111-2-2-22-2-222-1-1-2-21111000-20001122000011-1-1-1-1-11-1-111-22000000000-11000
χ372-22-2222-2-22-2-2-222-2-222i−2i2-22-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i2-2002i−2i000000000000000000000002-202i−2i000000000
χ382-22-2222-2-22-2-2-222-2-222i−2i2-22-22i2i−2i−2i000000002-22i−2i2i2i−2i−2i-2200−2i2i00000000000000000000000-220−2i2i000000000
χ392-22-2222-2-22-2-2-222-2-22−2i2i2-22-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i2-200−2i2i000000000000000000000002-20−2i2i000000000
χ402-22-2222-2-22-2-2-222-2-22−2i2i2-22-2−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i-22002i−2i00000000000000000000000-2202i−2i000000000
χ412-22-22-12-2-2-11-212-111-12i−2i21-1-22i2i−2i−2i0000−i3i33−3-11−ii−i−iii2-2002i−2i000003−33−3000000003−3−i3i300-110−ii−i3i30000000
χ422-22-22-12-2-2-11-212-111-12i−2i21-1-22i2i−2i−2i0000−i3i33−3-11−ii−i−iii-2200−2i2i00000−33−33000000003−3−i3i3001-10i−ii3−i30000000
χ432-22-22-12-2-2-11-212-111-12i−2i21-1-22i2i−2i−2i0000i3−i3−33-11−ii−i−iii2-2002i−2i00000−33−3300000000−33i3−i300-110−iii3−i30000000
χ442-22-22-12-2-2-11-212-111-12i−2i21-1-22i2i−2i−2i0000i3−i3−33-11−ii−i−iii-2200−2i2i000003−33−300000000−33i3−i3001-10i−i−i3i30000000
χ452-22-22-12-2-2-11-212-111-1−2i2i21-1-2−2i−2i2i2i0000−i3i3−33-11i−iii−i−i2-200−2i2i00000−33−3300000000−33−i3i300-110i−i−i3i30000000
χ462-22-22-12-2-2-11-212-111-1−2i2i21-1-2−2i−2i2i2i0000−i3i3−33-11i−iii−i−i-22002i−2i000003−33−300000000−33−i3i3001-10−iii3−i30000000
χ472-22-22-12-2-2-11-212-111-1−2i2i21-1-2−2i−2i2i2i0000i3−i33−3-11i−iii−i−i2-200−2i2i000003−33−3000000003−3i3−i300-110i−ii3−i30000000
χ482-22-22-12-2-2-11-212-111-1−2i2i21-1-2−2i−2i2i2i0000i3−i33−3-11i−iii−i−i-22002i−2i00000−33−33000000003−3i3−i3001-10−ii−i3i30000000
χ4944444-2-4-44-2-24-24-2-2-2-200-422-400000000000022000000004000-40000-2-2220000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-422-40000000000002200000000-40004000022-2-20000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-4-4200004400000022000000000-4000-2-20000002200000000000000000000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-4-420000-4-400000022000000000400022000000-2-200000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ5744-4-444004-44-4-4-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ5844-4-444004-44-4-4-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ5944-4-4-2400-2-442-42-2-222000000i6−i6i6−i64-40000000000i6−i6i6−i60000000-2200000000i6i6−i6−i60000000000000000000000
χ6044-4-4-2400-2-442-42-2-222000000i6−i6i6−i6-440000000000i6−i6i6−i600000002-200000000−i6−i6i6i60000000000000000000000
χ6144-4-4-2400-2-442-42-2-222000000−i6i6−i6i64-40000000000−i6i6−i6i60000000-2200000000−i6−i6i6i60000000000000000000000
χ6244-4-4-2400-2-442-42-2-222000000−i6i6−i6i6-440000000000−i6i6−i6i600000002-200000000i6i6−i6−i60000000000000000000000
χ634-44-444-44-44-4-4-444-4-4400-44-44000000000000-440000000000000000000000000000000000000000000000000
χ644-44-44-2-44-4-22-424-222-200-4-2240000000000002-20000000000000000023−23−23230000000000000000000000000000
χ654-44-44-2-44-4-22-424-222-200-4-2240000000000002-200000000000000000−232323−230000000000000000000000000000
χ664-44-4-244-424-42-4-2-222-24i−4i-2-442−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ674-44-4-244-424-42-4-2-222-2−4i4i-2-4422i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ684-44-4-24-4424-42-4-2-222-20024-4-20000000000002-200000000000000000000000−2i32i3−2i32i30000000000000000000000
χ694-44-4-24-4424-42-4-2-222-20024-4-20000000000002-2000000000000000000000002i3−2i32i3−2i30000000000000000000000
χ704-44-4-2-24-42-2222-21-1-114i−4i-22-22−2i−2i2i2i0000−2i32i323−231-1−2i2iii−i−i00000000000000000000000−33i3−i30000000000000000
χ714-44-4-2-24-42-2222-21-1-114i−4i-22-22−2i−2i2i2i00002i3−2i3−23231-1−2i2iii−i−i000000000000000000000003−3−i3i30000000000000000
χ724-44-4-2-24-42-2222-21-1-11−4i4i-22-222i2i−2i−2i0000−2i32i3−23231-12i−2i−i−iii000000000000000000000003−3i3−i30000000000000000
χ734-44-4-2-24-42-2222-21-1-11−4i4i-22-222i2i−2i−2i00002i3−2i323−231-12i−2i−i−iii00000000000000000000000−33−i3i30000000000000000
χ744-4-444400-4-4-444-44-44-40000000000000000000000000000000000022−2200000022−22−22220000000000000000000000
χ754-4-444400-4-4-444-44-44-400000000000000000000000000000000000−2222000000−222222−220000000000000000000000
χ764-4-44-24002-4-4-242-22-220000006−6−660000000000006−6−6600000000022−22000023−23−222−20000000000000000000000
χ774-4-44-24002-4-4-242-22-220000006−6−660000000000006−6−66000000000−22220000−23232−2−220000000000000000000000
χ784-4-44-24002-4-4-242-22-22000000−666−6000000000000−666−600000000022−220000−2323−222−20000000000000000000000
χ794-4-44-24002-4-4-242-22-22000000−666−6000000000000−666−6000000000−2222000023−232−2−220000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-88-40084-4-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-444422-2-20000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-444422-2-2000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ848-88-8-4-4-884-4444-42-2-22004-44-4000000000000-220000000000000000000000000000000000000000000000000
χ858-8-888-400-8448-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-442-22-200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ878-8-88-4-400444-4-442-22-2000000−262626−260000000000006−6−660000000000000000000000000000000000000000000

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