Finite Group Databasebeta

← Group #11866256

Character table — Group #11866256

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666634466612121212121222444412121212121212121212121212224444668812121212121212122466668121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-1111-1-11111111111-1-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1111-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-111111111111111111-111-1-1-111-1-1111111-1-111-1-11-1-111-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111111111-1-1-1
χ9111111111111111-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1111-1-1-1-1-1-1-11111-1-111-1-111-1
χ10111111111111111-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111-1-1111-111-1-1-11-1-1-1-11-1-11111-1-111-1-111-1-11
χ11111111111111111-1-11111-1-11111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-11-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-1-11
χ12111111111111111-1-11111-1-11111111-11-1-1-1-1-111-1-1-1-111-1-1-111-1111111-11-1-1111-1-1-111-1-1-111-1-111-1-1-1-11111-1
χ13111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111-1-11-1-111-1-11-111-1-11-11111-111-1-1-1-111-1-1-1-111-1-11
χ14111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11-1-1-11111111-1-1-1-11111-1-111-1
χ15111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-1-11-1-111-1111-1-1111-1-111-1-111-1-11111-1
χ16111111111111111-1-11111-1-1111-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-1-111-11-1-1-1-1-111111111-1-111-1-1-1-11
χ17222222-2-222222222-2222-222-2-2-222-2-200-22-2000022-2-2-2-200-20022200-2-200000000000002-2000000000000000
χ18222222-2-222222222-2222-222-2-2-2-2-22200-22-2000022-2-2-2-200200-2-2-200220000000000000-22000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-2002-220000-2-222-2-200200-22200-2-20000000000000-22000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-222002-220000-2-222-2-200-2002-2-2002200000000000002-2000000000000000
χ2122222-1222-1-122-1-122-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1002002-1-100-1-122-1-1-1-12200-1-10-1-100-1-100000000000
χ2222222-1222-1-122-1-122-1-1-1222-1-122222-2-22-1-11111-1-1-1-1-1-1002002-1-100-1-1-2-21111-2-200110-1-1001100000000000
χ2322222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-100-200-211001122-1-1-1-1-2-20011011001100000000000
χ2422222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-2-2-22-1-11111-1-1-1-1-1-100-200-2110011-2-211112200-1-101100-1-100000000000
χ2522222-1222-1-122-1-1-2-2-1-1-12-2-2-1-1222222-2-211-1-1111111-1-100-200-2-1-100-1-12-2-1-111-22001101100-1-100000000000
χ2622222-1222-1-122-1-1-2-2-1-1-12-2-2-1-122222-22-21111-1-11111-1-100-200-2-1-100-1-1-2211-1-12-200-1-1011001100000000000
χ2722222-1222-1-122-1-1-2-2-1-1-12-2-2-1-12-2-2-2-22-2-211-1-1111111-1-10020021100112-2-1-1112-200-1-10-1-1001100000000000
χ2822222-1222-1-122-1-1-2-2-1-1-12-2-2-1-12-2-2-2-2-22-21111-1-11111-1-1002002110011-2211-1-1-2200110-1-100-1-100000000000
χ2922222-1-2-22-1-122-1-12-2-1-1-1-22211-222-2-200-2-11−i3i3−i3i3-1-1111100-2002-1-1001100−i3i3−i3i30000−i3i30-1100−i3i300000000000
χ3022222-1-2-22-1-122-1-12-2-1-1-1-22211-222-2-200-2-11i3−i3i3−i3-1-1111100-2002-1-1001100i3−i3i3−i30000i3−i30-1100i3−i300000000000
χ3122222-1-2-22-1-122-1-12-2-1-1-1-22211-2-2-22200-2-11−i3i3−i3i3-1-1111100200-21100-1-100−i3i3−i3i30000i3−i301-100i3−i300000000000
χ3222222-1-2-22-1-122-1-12-2-1-1-1-22211-2-2-22200-2-11i3−i3i3−i3-1-1111100200-21100-1-100i3−i3i3−i30000−i3i301-100−i3i300000000000
χ3322222-1-2-22-1-122-1-1-22-1-1-1-2-2-211-222-2-20021-1−i3i3i3−i311-1-11100200-2-1-1001100−i3i3i3−i30000i3−i301-100−i3i300000000000
χ3422222-1-2-22-1-122-1-1-22-1-1-1-2-2-211-222-2-20021-1i3−i3−i3i311-1-11100200-2-1-1001100i3−i3−i3i30000−i3i301-100i3−i300000000000
χ3522222-1-2-22-1-122-1-1-22-1-1-1-2-2-211-2-2-2220021-1−i3i3i3−i311-1-11100-20021100-1-100−i3i3i3−i30000−i3i30-1100i3−i300000000000
χ3622222-1-2-22-1-122-1-1-22-1-1-1-2-2-211-2-2-2220021-1i3−i3−i3i311-1-11100-20021100-1-100i3−i3−i3i30000i3−i30-1100−i3i300000000000
χ372222-1222-122-1-12-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-1220220002200-1-1-1-1-1-100-1-100200-1-100-1-1-1-10000000
χ382222-1222-122-1-12-122-1-1-1-1-1-122-1000022-1222222-1-1-1-1-1-1-2-20-2-2000-2-200-1-1-1-1-1-1001100-200110011110000000
χ392222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-2-122-2-2-2-2-1-1-1-1-1-122022000-2-20011111100-1-100-200-1-10011110000000
χ402222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-2-122-2-2-2-2-1-1-1-1-1-1-2-20-2-200022001111110011002001100-1-1-1-10000000
χ412222-1222-122-1-12-1-2-2-1-1-1-11122-100002-21-2-222-2-21111-1-1220-2-20002200-11-1-11100-1-100-2001100-1-1110000000
χ422222-1222-122-1-12-1-2-2-1-1-1-11122-100002-21-2-222-2-21111-1-1-2-2022000-2-200-11-1-111001100200-1-10011-1-10000000
χ432222-1222-122-1-12-1-2-2-1-1-1-11122-10000-221-2-2-2-2221111-1-1220-2-2000-2-2001-111-1-100-1-100200110011-1-10000000
χ442222-1222-122-1-12-1-2-2-1-1-1-11122-10000-221-2-2-2-2221111-1-1-2-202200022001-111-1-1001100-200-1-100-1-1110000000
χ452-22-2222-2-2-2-22-22200-2-222002-2-22-22-200000000000002-20002i−2i02-2002-20000000000000002i−2i000000002i−2i000
χ462-22-2222-2-2-2-22-22200-2-222002-2-22-22-200000000000002-2000−2i2i02-2002-2000000000000000−2i2i00000000−2i2i000
χ472-22-2222-2-2-2-22-22200-2-222002-2-2-22-2200000000000002-20002i−2i0-2200-220000000000000002i−2i00000000−2i2i000
χ482-22-2222-2-2-2-22-22200-2-222002-2-2-22-2200000000000002-2000−2i2i0-2200-22000000000000000−2i2i000000002i−2i000
χ492-22-222-22-2-2-22-22200-2-22-200-2222-2-220000000000000-222-200002-200-22000000002-200000000000002-200000
χ502-22-222-22-2-2-22-22200-2-22-200-2222-2-220000000000000-22-2200002-200-2200000000-220000000000000-2200000
χ512-22-222-22-2-2-22-22200-2-22-200-222-222-20000000000000-222-20000-22002-2000000002-20000000000000-2200000
χ522-22-222-22-2-2-22-22200-2-22-200-222-222-20000000000000-22-220000-22002-200000000-2200000000000002-200000
χ534444-24-4-4-244-2-24-24-4-2-2-22-2-2-4-4200000024-40000-2-22222000000000000000000000000000000000000000000
χ544444-24-4-4-244-2-24-2-44-2-2-2222-4-42000000-2-44000022-2-222000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-2-2-2222211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-222-2-2-200004-4222-2-222-1-1-1-111000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-222-2-2-20000-4422222-2-2-1-1-1-1110000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002-22−2i32i3−2i32i311-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002-222i3−2i32i3−2i311-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-2−2i32i32i3−2i3-1-111-1-100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-22i3−2i3−2i32i3-1-111-1-100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-44-4-44-44004-4-4000000000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ6444-4-44400-44-4-44-44004-4-40000000000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ6544-4-4-240024-42-2-4-200-2220−2i32i30000000000000000−2i32i3000000000000−2i22i2000000000000000000000i2−i26−60000000
χ6644-4-4-240024-42-2-4-200-2220−2i32i30000000000000000−2i32i30000000000002i2−2i2000000000000000000000−i2i2−660000000
χ6744-4-4-240024-42-2-4-200-22202i3−2i300000000000000002i3−2i3000000000000−2i22i2000000000000000000000i2−i2−660000000
χ6844-4-4-240024-42-2-4-200-22202i3−2i300000000000000002i3−2i30000000000002i2−2i2000000000000000000000−i2i26−60000000
χ694-44-44-24-4-4224-4-2-20022-2400-22-44-44-40000000000000-22000000-2200-22000000000000000000000000000000
χ704-44-44-24-4-4224-4-2-20022-2400-22-4-44-440000000000000-220000002-2002-2000000000000000000000000000000
χ714-44-44-2-44-4224-4-2-20022-2-4002-244-4-4400000000000002-2000000-22002-2000000000000000000000000000000
χ724-44-44-2-44-4224-4-2-20022-2-4002-24-444-400000000000002-20000002-200-22000000000000000000000000000000
χ734-44-4-244-42-4-4-224-20022-2-2004-4200000000000000000-220004i−4i0000000000000000000000−2i2i0000000000000
χ744-44-4-244-42-4-4-224-20022-2-2004-4200000000000000000-22000−4i4i00000000000000000000002i−2i0000000000000
χ754-44-4-24-442-4-4-224-20022-2200-44-2000000000000000002-24-4000000000000000000-2200000000000000000000
χ764-44-4-24-442-4-4-224-20022-2200-44-2000000000000000002-2-440000000000000000002-200000000000000000000
χ774-4-4444004-44-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ784-4-4444004-44-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ7988-8-88-400-8-44-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-442002-2-20−4i34i300000000000000002i3−2i30000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-442002-2-204i3−4i30000000000000000−2i32i30000000000000000000000000000000000000000000000
χ828-88-8-4-48-8444-44-4200-2-22-400-444000000000000000002-2000000000000000000000000000000000000000000
χ838-88-8-4-4-88444-44-4200-2-224004-4-400000000000000000-22000000000000000000000000000000000000000000
χ848-8-888-40084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-4-8844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-4444200-22-20000000000000000000006-600000000000000000000000000000000000000000000
χ878-8-88-4-400-44-4444200-22-2000000000000000000000-6600000000000000000000000000000000000000000000

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