Finite Group Databasebeta

← Group #11872976

Character table — Group #11872976

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order1222334466666634466612121212121212122412121212121212122244444488886666121212124444668812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1
χ9111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-111-1-1111-1
χ10111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-11
χ11111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-11
χ12111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1
χ13111111111111111-1-1111-1-11-1-1111-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-11111-11
χ14111111111111111-1-1111-1-11-1-1111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-11-1
χ15111111111111111-1-1111-1-11-1-1111-11-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11-1
χ16111111111111111-1-1111-1-11-1-1111-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111-1-111-11
χ17222222-2-222222222-222222-2-2-2-2-2-2002-222-2-2-2-20000000000000000000022-2-2000000000000000000-2200
χ18222222-2-222222222-222222-2-2-2-2-2-2002-222-2-2-2-200000000000000000000-2-2220000000000000000002-200
χ19222222-2-22222222-22222-2-2-222-2-2-200-22-2-222-2-20000000000000000000022-2-20000000000000000002-200
χ20222222-2-22222222-22222-2-2-222-2-2-200-22-2-222-2-200000000000000000000-2-222000000000000000000-2200
χ2122222-1222-1-12-12-122-1-1-122-1-1-12-1222-12-1-1-1-1-1-12200220022002-1-1-1-12-1-10000-1-120-1-10000-1-1-1-100000000
χ2222222-1222-1-12-12-122-1-1-122-1-1-12-1222-12-1-1-1-1-1-1-2-200-2-200-2-2002-1-1-1-12-1-1000011-20110000111100000000
χ2322222-1222-1-12-12-122-1-1-122-1-1-12-12-2-2-12-1-1-1-1-1-122002200-2-200-21111-2110000-1-1-20-1-10000111100000000
χ2422222-1222-1-12-12-122-1-1-122-1-1-12-12-2-2-12-1-1-1-1-1-1-2-200-2-2002200-21111-21100001120110000-1-1-1-100000000
χ2522222-1222-1-12-12-1-2-2-1-1-1-2-2-1112-122-21-21111-1-12200-2-20022002-1-1-11-2110000-1-1-20110000-1-11100000000
χ2622222-1222-1-12-12-1-2-2-1-1-1-2-2-1112-122-21-21111-1-1-2-2002200-2-2002-1-1-11-21100001120-1-1000011-1-100000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-1112-12-221-21111-1-12200-2-200-2-200-2111-12-1-10000-1-12011000011-1-100000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-1112-12-221-21111-1-1-2-20022002200-2111-12-1-1000011-20-1-10000-1-11100000000
χ292222-1222-122-12-1-122-1-1-1-1-1222-12-1222-1-1-1-1-1-1-1002200220022-12-1-12-1-1-10000000200-1-1-1-10000-1-1-1-10000
χ302222-1222-122-12-1-122-1-1-1-1-1222-12-1222-1-1-1-1-1-1-100-2-200-2-200-2-2-12-1-12-1-1-10000000-2001111000011110000
χ312222-1222-122-12-1-122-1-1-1-1-1222-12-1-2-22-1-1-1-1-1-1-10022002200-2-21-211-21110000000-200-1-1-1-1000011110000
χ322222-1222-122-12-1-122-1-1-1-1-1222-12-1-2-22-1-1-1-1-1-1-100-2-200-2-200221-211-2111000000020011110000-1-1-1-10000
χ332222-1222-122-12-1-1-2-2-1-1-1112-2-2-12-12-2-211111-1-1002200-2-200-2-2-12-1-1-2111000000020011-1-10000-1-1110000
χ342222-1222-122-12-1-1-2-2-1-1-1112-2-2-12-12-2-211111-1-100-2-200220022-12-1-1-21110000000-200-1-111000011-1-10000
χ352222-1222-122-12-1-1-2-2-1-1-1112-2-2-12-1-22-211111-1-1002200-2-200221-2112-1-1-10000000-20011-1-1000011-1-10000
χ362222-1222-122-12-1-1-2-2-1-1-1112-2-2-12-1-22-211111-1-100-2-2002200-2-21-2112-1-1-10000000200-1-1110000-1-1110000
χ372-22-2222-2-2-22-2-22200-2-2200200-2-22000000002-2002-22i−2i000000000000002i−2i2i−2i00002i−2i002-2000000000000
χ382-22-2222-2-2-22-2-22200-2-2200200-2-22000000002-2002-2−2i2i00000000000000−2i2i−2i2i0000−2i2i002-2000000000000
χ392-22-2222-2-2-22-2-22200-2-2200200-2-22000000002-200-222i−2i00000000000000−2i2i−2i2i00002i−2i00-22000000000000
χ402-22-2222-2-2-22-2-22200-2-2200200-2-22000000002-200-22−2i2i000000000000002i−2i2i−2i0000−2i2i00-22000000000000
χ412-22-222-22-2-22-2-22200-2-2200-20022-200000000-222-200002i−2i0000000000002i−2i−2i2i2-200002i−2i00000000000000
χ422-22-222-22-2-22-2-22200-2-2200-20022-200000000-222-20000−2i2i000000000000−2i2i2i−2i2-20000−2i2i00000000000000
χ432-22-222-22-2-22-2-22200-2-2200-20022-200000000-22-2200002i−2i000000000000−2i2i2i−2i-2200002i−2i00000000000000
χ442-22-222-22-2-22-2-22200-2-2200-20022-200000000-22-220000−2i2i0000000000002i−2i−2i2i-220000−2i2i00000000000000
χ4544444-2-4-44-2-24-24-24-4-2-2-244222-42-400-2-4-2-222220000000000000000000000000000000000000000000000
χ4644444-2-4-44-2-24-24-2-44-2-2-2-4-42-2-2-42-4002422-2-2220000000000000000000000000000000000000000000000
χ474444-24-4-4-244-24-2-24-4-2-2-2-2-2-4-4-42-420042-2-222220000000000000000000000000000000000000000000000
χ484444-24-4-4-244-24-2-2-44-2-2-222-4442-4200-4-222-2-2220000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-244-2-2111111000000000000-2-211-2-21100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-4-4-2-211111100000000000022-1-122-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411122-222-2-2-24-422-1-1-1-111000000000000-2-21122-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-411122-222-2-2-2-4422-1-1-1-11100000000000022-1-1-2-21100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-2211-1-1-1-1000000000000003-3003-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-2211-1-1-1-100000000000000-3300-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-44111222-2-2222002-2-1-111-1-1000000000000003-300-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-44111222-2-2222002-2-1-111-1-100000000000000-33003-300000000000000000000000000
χ5744-4-4440044-4-4-4-44004-4-40000000000000000000000000022−2200000000000000000000000022−220000000000
χ5844-4-4440044-4-4-4-44004-4-400000000000000000000000000−2222000000000000000000000000−22220000000000
χ5944-4-44-2004-22-42-4-200-22200023−2300000000023−23000000000022−22000000000000000000000000−226−600000000
χ6044-4-44-2004-22-42-4-200-22200023−2300000000023−230000000000−22220000000000000000000000002−2−6600000000
χ6144-4-44-2004-22-42-4-200-222000−2323000000000−2323000000000022−22000000000000000000000000−22−6600000000
χ6244-4-44-2004-22-42-4-200-222000−2323000000000−23230000000000−22220000000000000000000000002−26−600000000
χ634-44-44-24-4-42-2-424-20022-200-200-42400000000-2200004i−4i0000000000000000000000−2i2i0000000000000000
χ644-44-44-24-4-42-2-424-20022-200-200-42400000000-220000−4i4i00000000000000000000002i−2i0000000000000000
χ654-44-44-2-44-42-2-424-20022-2002004-2-4000000002-24-40000000000000000000000-2200000000000000000000
χ664-44-44-2-44-42-2-424-20022-2002004-2-4000000002-2-4400000000000000000000002-200000000000000000000
χ674-44-4-244-42-442-4-2-20022-2004002-4-200000000-22004-40000000000000000000000000000-22000000000000
χ684-44-4-244-42-442-4-2-20022-2004002-4-200000000-2200-4400000000000000000000000000002-2000000000000
χ694-44-4-24-442-442-4-2-20022-200-400-242000000002-20000004i−4i0000000000000000000000−2i2i00000000000000
χ704-44-4-24-442-442-4-2-20022-200-400-242000000002-2000000−4i4i00000000000000000000002i−2i00000000000000
χ714-4-444400-4-4-444-4400-44-4000000000000000000000000000022−22000000000000000000000000000022−220000
χ724-4-444400-4-4-444-4400-44-40000000000000000000000000000−22220000000000000000000000000000−22220000
χ734-4-44-24002-4-4-242-2002-2223−23000000000023−230000000000000022−22000000000000000000000000006−6−220000
χ744-4-44-24002-4-4-242-2002-2223−23000000000023−2300000000000000−222200000000000000000000000000−662−20000
χ754-4-44-24002-4-4-242-2002-22−23230000000000−23230000000000000022−2200000000000000000000000000−66−220000
χ764-4-44-24002-4-4-242-2002-22−23230000000000−232300000000000000−2222000000000000000000000000006−62−20000
χ7788-8-8-4800-48-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444442002-2-200043−43000000000−2323000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-2000−434300000000023−23000000000000000000000000000000000000000000000000
χ808-88-8-4-48-844-444-4200-2-2200-40044-4000000002-20000000000000000000000000000000000000000000000
χ818-88-8-4-4-8844-444-4200-2-2200400-4-4400000000-220000000000000000000000000000000000000000000000
χ828-8-888-400-8448-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44200-22-243−430000000000−232300000000000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44200-22-2−4343000000000023−2300000000000000000000000000000000000000000000000000

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