Finite Group Databasebeta

← Group #11884639

Character table — Group #11884639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order122233446666662346661212121212124444666612121212121212121222244666688121212121212121212122446812121224242424448861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111111111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-111111-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-111111-1-1-1-11111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ911111111111111-11-1111111-1-11111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-111-1-111-1111-1-1-1111-1-11111-1-1-1-111-111-1
χ1011111111111111-11-1111111-1-11111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11-1111-111-1-11111-1-11-1-11
χ1111111111111111-11-1111111-1-1111-11-1-1-1-1-1-1-11111-1-1111-1-1111111-1-1111-1-1-1111-1-11-1-1-1-111-1-111111-1-1-1
χ1211111111111111-11-1111111-1-1111-11-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-1-1111-1-1-111-11-111-1-1-1-1-111-1-1-1-1-1111
χ1311111111111111-11-1111111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1111111111111-1-1-1111-1-1-11-1-1-11-1-111-1-111-1-1-11-11
χ1411111111111111-11-1111111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-111111111-1-111-1-1-1111-1-11-1-1-111-1-1-1-111-1-1111-11-1
χ1511111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-11-1-1-1111-11-1-111111-1-1-1-1-1-11-111
χ1611111111111111-11-1111111-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-111-111-11111-1-1111111-11-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-222002222-20000-2-2-2-2-2002-2000000-2-222000000000-20200000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2002222-20000-2-2-2-2200-2200000022-2-200000000020-200000000000000
χ19222222-2-2222222-222222-2-2-222-22200-2-2-2-220000-2-222-200-220000002222000000000-20-200000000000000
χ20222222-2-2222222-222222-2-2-222-2-2-200-2-2-2-220000-2-2222002-2000000-2-2-2-200000000020200000000000000
χ2122222-1222-12-12-12-12-1-1-12-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-1002-10-1-1-1000000000000
χ2222222-1222-12-12-12-12-1-1-12-1-1-1-1222-2-22-1-1-121111-1-1-1-12-2-222111100-1-1-1-1-2-2111100-2-10-111000000000000
χ2322222-1222-12-12-12-12-1-1-12-1-1-1-12-2-2222-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-2111100111122-1-1-1-100-210111000000000000
χ2422222-1222-12-12-12-12-1-1-12-1-1-1-12-2-2-2-22-1-1-121111-1-1-1-1-222-2-2-1-1-1-1001111-2-21111002101-1-1000000000000
χ2522222-1222-12-12-1-2-1-2-1-1-12-1-1112222-2-2111-2-1-111-1-1112-2-2-2-211110011-1-1-22-1-111002-101-1-1000000000000
χ2622222-1222-12-12-1-2-1-2-1-1-12-1-111222-22-2111-211-1-1-1-111222-2-2-1-1-1-10011-1-12-211-1-100-2-10111000000000000
χ2722222-1222-12-12-1-2-1-2-1-1-12-1-1112-2-22-2-2111-2-1-111-1-111-22222-1-1-1-100-1-111-22-1-11100-210-111000000000000
χ2822222-1222-12-12-1-2-1-2-1-1-12-1-1112-2-2-22-2111-211-1-1-1-111-2-2-222111100-1-1112-211-1-100210-1-1-1000000000000
χ2922222-1-2-22-12-12-12-1-2-1-1-1-21111-222002-1-1-1-2−i3i3−i3i31111-2002-2−i3−i3i3i30011-1-100−i3i3−i3i300010-1−i3i3000000000000
χ3022222-1-2-22-12-12-12-1-2-1-1-1-21111-222002-1-1-1-2i3−i3i3−i31111-2002-2i3i3−i3−i30011-1-100i3−i3i3−i300010-1i3−i3000000000000
χ3122222-1-2-22-12-12-12-1-2-1-1-1-21111-2-2-2002-1-1-1-2−i3i3−i3i31111200-22i3i3−i3−i300-1-11100−i3i3−i3i3000-101i3−i3000000000000
χ3222222-1-2-22-12-12-12-1-2-1-1-1-21111-2-2-2002-1-1-1-2i3−i3i3−i31111200-22−i3−i3i3i300-1-11100i3−i3i3−i3000-101−i3i3000000000000
χ3322222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-22200-21112−i3i3i3−i311-1-1-200-22i3i3−i3−i300-1-1-1-100−i3i3i3−i3000101−i3i3000000000000
χ3422222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-22200-21112i3−i3−i3i311-1-1-200-22−i3−i3i3i300-1-1-1-100i3−i3−i3i3000101i3−i3000000000000
χ3522222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-2-2-200-21112−i3i3i3−i311-1-12002-2−i3−i3i3i300111100−i3i3i3−i3000-10-1i3−i3000000000000
χ3622222-1-2-22-12-12-1-2-12-1-1-1-211-1-1-2-2-200-21112i3−i3−i3i311-1-12002-2i3i3−i3−i300111100i3−i3−i3i3000-10-1−i3i3000000000000
χ372222-1222-12-12-122-12-1-1-1-12222-10022-12-1-1-12222-1-1-1-1000000000220000-1-1-1-1-1-122002000-1-1-1-10000-1-100
χ382222-1222-12-12-122-12-1-1-1-12222-10022-12-1-1-12222-1-1-1-1000000000-2-20000-1-1-1-1-1-1-2-200-2000111100001100
χ392222-1222-12-12-122-12-1-1-1-12222-100-2-2-12-1-1-1-2-2-2-2-1-1-1-1000000000220000111111-2-2002000-1-1-1-100001100
χ402222-1222-12-12-122-12-1-1-1-12222-100-2-2-12-1-1-1-2-2-2-2-1-1-1-1000000000-2-200001111112200-200011110000-1-100
χ412222-1222-12-12-12-2-1-2-1-1-1-122-2-2-1002-21-211122-2-2-1-1110000000002200001-1-1-111-2200-2000-1-11100001-100
χ422222-1222-12-12-12-2-1-2-1-1-1-122-2-2-1002-21-211122-2-2-1-111000000000-2-200001-1-1-1112-200200011-1-10000-1100
χ432222-1222-12-12-12-2-1-2-1-1-1-122-2-2-100-221-2111-2-222-1-111000000000220000-1111-1-12-200-2000-1-1110000-1100
χ442222-1222-12-12-12-2-1-2-1-1-1-122-2-2-100-221-2111-2-222-1-111000000000-2-20000-1111-1-1-2200200011-1-100001-100
χ452-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-20002-2002-22-22-20000000000000000002-2002-2000000
χ462-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-20002-2002-22-2-22000000000000000000-2200-22000000
χ472-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-2000-2200-22-222-20000000000000000002-200-22000000
χ482-2-2222-22-2-22-2-22020-2-22-22-200200000000000002-2000-2200-22-22-22000000000000000000-22002-2000000
χ494444-24-4-4-24-24-244-2-4-2-2-22-4-4-4-420000-24-2-220000222200000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-4-24-2-2-22-4-444200002-422-2000022-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20044-2-211-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-200-4-4-2-211-22222111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-4111-2-2-222-2004-422-1-12-2-22211-1-10000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4111-2-2-222-200-4422-1-1222-2-211-1-1000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-2112−2i32i3−2i32i3-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-41112222220000-2-21122i3−2i32i3−2i3-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-414111222-2-22000022-1-1-2−2i32i32i3−2i3-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-414111222-2-22000022-1-1-22i3−2i3−2i32i3-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-40404-4-4000000000000000000000000000000000000000000000000000000000022−220000
χ6044-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000000000000000000000−22220000
χ614-44-44400-4-4-444-4040-44-40000004i−4i00000000000000000000000000004i−4i00000000000000000000000000
χ624-44-44400-4-4-444-4040-44-4000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000000
χ634-44-44-200-42-4-2420-202-2200023−2304i−4i000000000000023−2300000000000−2i32i3−2i2i00000000000000000000000000
χ644-44-44-200-42-4-2420-202-2200023−230−4i4i000000000000023−23000000000002i3−2i32i−2i00000000000000000000000000
χ654-44-44-200-42-4-2420-202-22000−232304i−4i0000000000000−2323000000000002i3−2i3−2i2i00000000000000000000000000
χ664-44-44-200-42-4-2420-202-22000−23230−4i4i0000000000000−232300000000000−2i32i32i−2i00000000000000000000000000
χ674-4-44444-4-4-44-4-44040-4-444-4400-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4242-4-20-2022-242-200-400000000000002-20000000−2i32i32i3−2i300000000000000000000000000000000
χ694-4-444-24-4-4242-4-20-2022-242-200-400000000000002-200000002i3−2i3−2i32i300000000000000000000000000000000
χ704-4-444-2-44-4242-4-20-2022-2-4-220040000000000000-220004-400-22-2200000000000000000000000000000000
χ714-4-444-2-44-4242-4-20-2022-2-4-220040000000000000-22000-44002-22-200000000000000000000000000000000
χ724-4-44-244-42-4-2-4240-2022-2-2-4400200000000000002-200000000000000000000000000000000023−2300000000
χ734-4-44-244-42-4-2-4240-2022-2-2-4400200000000000002-2000000000000000000000000000000000−232300000000
χ744-4-44-24-442-4-2-4240-2022-224-400-20000000000000-22000000000004-4000000000000000000-220000000000
χ754-4-44-24-442-4-2-4240-2022-224-400-20000000000000-2200000000000-440000000000000000002-20000000000
χ7688-8-88-4008-4-84-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-484-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440202-2-20000000000006-600000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440202-2-2000000000000-6600000000000000000000000000000000000000000000000000
χ808-88-8-48004-848-4-80-404-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400444-4-44020-22-200043−430000000000000000−232300000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44020-22-2000−4343000000000000000023−2300000000000000000000000000000000000000000
χ838-8-88-4-48-844-444-4020-2-22-44-40040000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4020-2-224-4400-400000000000002-20000000000000000000000000000000000000000000

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