Finite Group Databasebeta

← Group #11872982

Character table — Group #11872982

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order12223344666666344666121212121212121244121212121212121222444444888812121212121212124444668812121212121224242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
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
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-111
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
χ9111111111111111-1-11111-1-11-1-1111-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11-1
χ10111111111111111-1-11111-1-11-1-1111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-11111-11
χ11111111111111111-1-11111-1-11-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-11
χ12111111111111111-1-11111-1-11-1-1111-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-111-1-11-1
χ13111111111111111-1-11111-1-11-1-111-11-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-11
χ14111111111111111-1-11111-1-11-1-111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1111-111-1-1-1-1-1-11111-1-1111-1
χ15111111111111111-1-11111-1-11-1-111-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1111111-1-1-1-111111-1
χ16111111111111111-1-11111-1-11-1-111-11-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-1-11
χ17222222-2-222222222-2222-222-2-2-2-2-2002-2-2-222-2-20000000000000000000022-2-2000000000000000000-2200
χ18222222-2-222222222-2222-222-2-2-2-2-2002-2-2-222-2-200000000000000000000-2-2220000000000000000002-200
χ19222222-2-22222222-22222-2-2-2-222-2-200-22-2-2-2-2220000000000000000000022-2-20000000000000000002-200
χ20222222-2-22222222-22222-2-2-2-222-2-200-22-2-2-2-22200000000000000000000-2-222000000000000000000-2200
χ2122222-1222-1-122-1-122-1-1-1-1222-1-1-1222-12-1-1-1-1-1-12222000022002-12-1-1-1-1-10000-1-12000-1-100-1-1-1-100000000
χ2222222-1222-1-122-1-122-1-1-1-1222-1-1-1222-12-1-1-1-1-1-1-2-2-2-20000-2-2002-12-1-1-1-1-1000011-20001100111100000000
χ2322222-1222-1-122-1-122-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-122220000-2-200-21-2111110000-1-1-2000-1-100111100000000
χ2422222-1222-1-122-1-122-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-1-2-2-2-200002200-21-21111100001120001100-1-1-1-100000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-1-2-2211-122-21-2-1-1111122-2-2000022002-1-21-1-1110000-1-1-20001100-1-11100000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-1-2-2211-122-21-2-1-11111-2-2220000-2-2002-1-21-1-1110000112000-1-10011-1-100000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-1-2-2211-12-221-2-1-1111122-2-20000-2-200-212-111-1-10000-1-12000110011-1-100000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-1-2-2211-12-221-2-1-11111-2-22200002200-212-111-1-1000011-2000-1-100-1-11100000000
χ292222-1222-122-1-12-122-1-1-12-1-1-1222-1222-1-1-1-1-1-1-1000022220022-12-12-1-1-1-100000002-1-100-1-10000-1-1-1-10000
χ302222-1222-122-1-12-122-1-1-12-1-1-1222-1222-1-1-1-1-1-1-10000-2-2-2-200-2-2-12-12-1-1-1-10000000-2110011000011110000
χ312222-1222-122-1-12-122-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10000222200-2-21-21-211110000000-2-1-100-1-1000011110000
χ322222-1222-122-1-12-122-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10000-2-2-2-200221-21-21111000000021100110000-1-1-1-10000
χ332222-1222-122-1-12-1-2-2-1-1-1211-1-2-22-12-2-21-1-11111000022-2-20022-121-2-1-1110000000-21100-1-10000-1-1110000
χ342222-1222-122-1-12-1-2-2-1-1-1211-1-2-22-12-2-21-1-111110000-2-22200-2-2-121-2-1-11100000002-1-10011000011-1-10000
χ352222-1222-122-1-12-1-2-2-1-1-1211-1-2-22-1-22-21-1-11111000022-2-200-2-21-2-1211-1-1000000021100-1-1000011-1-10000
χ362222-1222-122-1-12-1-2-2-1-1-1211-1-2-22-1-22-21-1-111110000-2-22200221-2-1211-1-10000000-2-1-100110000-1-1110000
χ372-2-22222-2-22-22-2-22002-2-2200-200-2200002-200002-2002i−2i000000000000002i−2i2i−2i2-20000002i−2i000000000000
χ382-2-22222-2-22-22-2-22002-2-2200-200-2200002-200002-200−2i2i00000000000000−2i2i−2i2i2-2000000−2i2i000000000000
χ392-2-22222-2-22-22-2-22002-2-2200-200-2200002-20000-22002i−2i00000000000000−2i2i−2i2i-220000002i−2i000000000000
χ402-2-22222-2-22-22-2-22002-2-2200-200-2200002-20000-2200−2i2i000000000000002i−2i2i−2i-22000000−2i2i000000000000
χ412-2-2222-22-22-22-2-22002-2-2-2002002-20000-220000002i−2i002-20000000000002i−2i−2i2i00002-22i−2i00000000000000
χ422-2-2222-22-22-22-2-22002-2-2-2002002-20000-220000002i−2i00-22000000000000−2i2i2i−2i0000-222i−2i00000000000000
χ432-2-2222-22-22-22-2-22002-2-2-2002002-20000-22000000−2i2i002-2000000000000−2i2i2i−2i00002-2−2i2i00000000000000
χ442-2-2222-22-22-22-2-22002-2-2-2002002-20000-22000000−2i2i00-220000000000002i−2i−2i2i0000-22−2i2i00000000000000
χ4544444-2-4-44-2-244-2-24-4-2-2-2244-4222-400-2-422-2-2220000000000000000000000000000000000000000000000
χ4644444-2-4-44-2-244-2-2-44-2-2-22-4-4-4-2-22-400242222-2-20000000000000000000000000000000000000000000000
χ474444-24-4-4-244-2-24-24-4-2-2-2-4-2-22-4-4-42004222-2-2220000000000000000000000000000000000000000000000
χ484444-24-4-4-244-2-24-2-44-2-2-2-422244-4200-4-22222-2-20000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-244-2-2111111000000000000-2-2-2-2111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000002222-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-222-222-2-24-42211-1-1-1-1000000000000-2-22211-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-222-222-2-2-442211-1-1-1-100000000000022-2-2-1-11100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-41112-2-22222200-22-1-111-1-100000000000000003-33-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-41112-2-22222200-22-1-111-1-10000000000000000-33-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-441112222-2-222002-2-1-1-1-11100000000000000003-3-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-441112222-2-222002-2-1-1-1-1110000000000000000-333-300000000000000000000000000
χ5744-4-444004-44-4-4-4400-44-4000000000000000000000000000022−220000000000000000000000000022−22000000
χ5844-4-444004-44-4-4-4400-44-40000000000000000000000000000−222200000000000000000000000000−2222000000
χ5944-4-4-2400-2-4422-4-2002-220−2i32i300000000000−2i32i300000000000022−2200000000000000000000000000−22i6−i60000
χ6044-4-4-2400-2-4422-4-2002-220−2i32i300000000000−2i32i3000000000000−2222000000000000000000000000002−2−i6i60000
χ6144-4-4-2400-2-4422-4-2002-2202i3−2i3000000000002i3−2i300000000000022−2200000000000000000000000000−22−i6i60000
χ6244-4-4-2400-2-4422-4-2002-2202i3−2i3000000000002i3−2i3000000000000−2222000000000000000000000000002−2i6−i60000
χ634-44-44400-4-4-4-444400-4-440000000000000000000000000022−2200000000000000000000000022−220000000000
χ644-44-44400-4-4-4-444400-4-4400000000000000000000000000−2222000000000000000000000000−22220000000000
χ654-44-44-200-422-44-2-20022-20000−2i32i30000000000−2i32i30000000022−22000000000000000000000000−22i6−i600000000
χ664-44-44-200-422-44-2-20022-20000−2i32i30000000000−2i32i300000000−22220000000000000000000000002−2−i6i600000000
χ674-44-44-200-422-44-2-20022-200002i3−2i300000000002i3−2i30000000022−22000000000000000000000000−22−i6i600000000
χ684-44-44-200-422-44-2-20022-200002i3−2i300000000002i3−2i300000000−22220000000000000000000000002−2i6−i600000000
χ694-4-444-24-4-4-224-42-200-222-200-400240000-2200004-40000000000000000000000-2200000000000000000000
χ704-4-444-24-4-4-224-42-200-222-200-400240000-220000-4400000000000000000000002-200000000000000000000
χ714-4-444-2-44-4-224-42-200-222200400-2-400002-20000004i−4i00000000000000000000000000−2i2i00000000000000
χ724-4-444-2-44-4-224-42-200-222200400-2-400002-2000000−4i4i000000000000000000000000002i−2i00000000000000
χ734-4-44-244-424-4-22-4-200-222400200-4-20000-22000000004i−4i00000000000000000000000000−2i2i000000000000
χ744-4-44-244-424-4-22-4-200-222400200-4-20000-2200000000−4i4i000000000000000000000000002i−2i000000000000
χ754-4-44-24-4424-4-22-4-200-222-400-2004200002-200000000004-400000000000000000000-220000000000000000
χ764-4-44-24-4424-4-22-4-200-222-400-2004200002-20000000000-44000000000000000000002-20000000000000000
χ7788-8-88-40084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-4444200-22-20−4i34i3000000000002i3−2i3000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-4444200-22-204i3−4i300000000000−2i32i3000000000000000000000000000000000000000000000000
χ808-88-8-48004-8-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004444-4-4200-2-220000−4i34i300000000002i3−2i30000000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-4200-2-2200004i3−4i30000000000−2i32i30000000000000000000000000000000000000000000000
χ838-8-88-4-48-84-44-4442002-2-2-4004004-400002-200000000000000000000000000000000000000000000000000
χ848-8-88-4-4-884-44-4442002-2-2400-400-440000-2200000000000000000000000000000000000000000000000000

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