Finite Group Databasebeta

← Group #11872535

Character table — Group #11872535

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212412121212121224242424242424242224444466121212121212121244444466881212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-111-1-1-1-1-111111111-1-1-1-11-1111-11-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-11-1-111111-1-1111111-1-1-1-1-11-1-1-11-111111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-111-1-1-111-1-1-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-11-1-1111-1-111-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-1-111-1-111-1-11-11
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-111-1-11111-1-1-111
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-1-11111-1-11-1-1-1-1111111-11-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1111111-1-11111-1-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-11-1-1-1-111-11111-1-111111-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-200-222-2-2000000-2-2220000002-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2200-2222200000022-2-2000000-2-20000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-22-2002-2-2-2-200000022-2-2000000220000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-22002-2-222000000-2-222000000-220000000000000
χ2122222-1222-1-1-122-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-12202200000-1-1-12-1-1-1-1000020-1-120-100000-1-10000-100
χ2222222-1222-1-1-122-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1-2-20-2-20000011-12-1-1-1-10000-2011-20100000110000100
χ2322222-1222-1-1-122-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111112202200000-1-11-2-1-1110000-20-1-1-20-100000110000100
χ2422222-1222-1-1-122-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111-2-20-2-200000111-2-1-1110000201120100000-1-10000-100
χ2522222-1222-1-1-122-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1220-2-200000111-21111000020-1-1-20100000110000-100
χ2622222-1222-1-1-122-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1-2-202200000-1-11-211110000-201120-100000-1-10000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111220-2-20000011-1211-1-10000-20-1-120100000-1-10000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111-2-202200000-1-1-1211-1-100002011-20-100000110000-100
χ292222-1222-1222-1-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-100200222-1-1002-1-1-1-1-100000200020-1-1-1-1-10000000-10
χ302222-1222-1222-1-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-100-200-2-2-211002-1-1-1-1-100000-2000-2011111000000010
χ312222-1222-1222-1-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-2111100200222-1-100-21-1-11100000-2000-20-1-1-111000000010
χ322222-1222-1222-1-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-2111100-200-2-2-21100-21-1-11100000200020111-1-10000000-10
χ332222-1222-1222-1-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-100200-2-22-1-100-21111100000-200020-111-1-1000000010
χ342222-1222-1222-1-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-100-20022-21100-211111000002000-201-1-1110000000-10
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111100200-2-22-1-1002-111-1-1000002000-20-111110000000-10
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111100-20022-211002-111-1-100000-2000201-1-1-1-1000000010
χ372-2-22222-2-22-2-22-222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i002i−2i2i−2i000000000000002-200000
χ382-2-22222-2-22-2-22-222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i00−2i2i−2i2i00000000000000-2200000
χ392-2-22222-2-22-2-22-22−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i002i−2i2i−2i00000000000000-2200000
χ402-2-22222-2-22-2-22-22−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i00−2i2i−2i2i000000000000002-200000
χ412-2-2222-22-22-2-22-2200-22-2002-22-2000002-2000000002-20002i−2i000000000002i−2i−2i2i002-200002i−2i00000000000
χ422-2-2222-22-22-2-22-2200-22-2002-22-2000002-2000000002-2000−2i2i00000000000−2i2i2i−2i002-20000−2i2i00000000000
χ432-2-2222-22-22-2-22-2200-22-2002-22-2000002-200000000-220002i−2i00000000000−2i2i2i−2i00-2200002i−2i00000000000
χ442-2-2222-22-22-2-22-2200-22-2002-22-2000002-200000000-22000−2i2i000000000002i−2i−2i2i00-220000−2i2i00000000000
χ4544444-2-4-44-2-2-244-200-2-2-2002-4-420000022000000000004-400000220000000000000000-200000000000000
χ4644444-2-4-44-2-2-244-200-2-2-2002-4-42000002200000000000-4400000-2-20000000000000000200000000000000
χ474444-24-4-4-2444-2-2-200-2-2-200-422-40000022000000000040000-4-2-2000000000000000000020000000000000
χ484444-24-4-4-2444-2-2-200-2-2-200-422-400000220000000000-400004220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-444004-4-44-4-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-444004-4-44-4-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-200422-2-4-4-200-22222−220000000000022−22−22−2−222000000000023−2300000000000000000000006−60000000
χ5644-4-44-200422-2-4-4-200-22222−220000000000022−22−22−2−2220000000000−23230000000000000000000000−660000000
χ5744-4-44-200422-2-4-4-200-222−222200000000000−22222−222−2−2000000000023−230000000000000000000000−660000000
χ5844-4-44-200422-2-4-4-200-222−222200000000000−22222−222−2−20000000000−232300000000000000000000006−60000000
χ5944-4-4-2400-2-4-4422-200-22222−2200000000000−2222−22−2−22200000000−2i32i30000000000000000000000i6−i6000000000
χ6044-4-4-2400-2-4-4422-200-22222−2200000000000−2222−22−2−222000000002i3−2i30000000000000000000000−i6i6000000000
χ6144-4-4-2400-2-4-4422-200-222−2222000000000002−2−222222−2−200000000−2i32i30000000000000000000000−i6i6000000000
χ6244-4-4-2400-2-4-4422-200-222−2222000000000002−2−222222−2−2000000002i3−2i30000000000000000000000i6−i6000000000
χ634-44-44400-4-44-4-44400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-44400-4-44-4-44400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-444-24-4-4-2224-4-24i−4i2-220024-4-20−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ664-4-444-24-4-4-2224-4-2−4i4i2-220024-4-202i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ674-4-444-2-44-4-2224-4-2002-2200-2-44200000-22000000004-40000000000000000000000-2200000000000000000
χ684-4-444-2-44-4-2224-4-2002-2200-2-44200000-2200000000-4400000000000000000000002-200000000000000000
χ694-4-44-244-424-4-4-22-24i−4i2-2200-4-22404i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ704-4-44-244-424-4-4-22-2−4i4i2-2200-4-2240−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ714-4-44-24-4424-4-4-22-2002-220042-2-400000-2200000000000004i−4i00000000000000000000000−2i2i00000000000
χ724-4-44-24-4424-4-4-22-2002-220042-2-400000-220000000000000−4i4i000000000000000000000002i−2i00000000000
χ734-4-44-2-24-42-222-2214i−4i-11-1002-22-20−2i2i−2i2i-1100003-33-300000000000000i−i3i−3i0000000000000000000000000
χ744-4-44-2-24-42-222-2214i−4i-11-1002-22-20−2i2i−2i2i-110000-33-3300000000000000i−i−3i3i0000000000000000000000000
χ754-4-44-2-24-42-222-221−4i4i-11-1002-22-202i−2i2i−2i-1100003-33-300000000000000−ii−3i3i0000000000000000000000000
χ764-4-44-2-24-42-222-221−4i4i-11-1002-22-202i−2i2i−2i-110000-33-3300000000000000−ii3i−3i0000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-88-400-84-44-88-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-88-84-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-444-4200-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-4200-2-2200000000000000000−323232−320000000000000000000000000000000000000000000
χ848-8-88-4-4-884-444-44200-22-200-44-44000002-2000000000000000000000000000000000000000000000000000

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