Finite Group Databasebeta

← Group #11878504

Character table — Group #11878504

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444444444444488888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222334466666622234446666666121212121212121212121212666666666612121212121212121212224444446666121212121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111-1-111-1-111-1-1111111111-1-111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-111-1-111-1-11-1
χ6111111111111111-1-111-1-111-1-1111111111-1-111111-1-1-111-1-1-1-11-1-1-111-1-1-1-11-111-1-1-1111-1-11111-1-1-1-1-1-111-1-111-11
χ7111111111111111-1-111-1-111-1-1111111111-1-111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1-11-1-1111-1-1-111-1-1-1-1111111-1-1-1-111-11
χ8111111111111111-1-111-1-111-1-1111111111-1-111111-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1111-11-1-1-1-1-1-1111111-1-11111-1-11-1
χ911111111111111-11-11-11-1-1-1111111111-1-1111111-11-1-1-1-111-1-1-11-1-1-1-111-1-111-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-11
χ1011111111111111-11-11-11-1-1-1111111111-1-1111111-11-1-1-1-111-1-1-11-1-1-1-111-1-11-1-1-11-11111-1-1-1-1-1-111-1-11111-1-1111-1
χ1111111111111111-11-11-11-1-1-1111111111-1-1111111-11-1-1-1-111-1-1-11-1-1-1-111-1-1-1111-11-1-1-1-1111111-1-111-1-1-1-1-1-1111-1
χ1211111111111111-11-11-11-1-1-1111111111-1-1111111-11-1-1-1-111-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1-1-111-1-1-1-111111111-1-1-11
χ1311111111111111-1-111-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-11-111111-1-1-1-1-1-111-1-1111111-1-1
χ1411111111111111-1-111-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1111-1-11-111-111-1-1-1-111-1-11111-1-1-1-1-1-111
χ1511111111111111-1-111-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-111-11-1-11-1-11111-1-111-1-1-1-111-1-1-1-111
χ1611111111111111-1-111-1-11-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-1-1-1-1111111-1-111-1-11111-1-1
χ17222222-2-222222222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-222-2-2-2-222000000000000000000000000000000
χ18222222-2-22222222-222-22-222-2-2222-2-2-2-2-2-222-2-2-2-22-22222-2-222-22-2-2-2-222-2-2000000000000000000000000000000
χ19222222-2-2222222-22222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2222-2-222222-2-2-222-2-2-2-2000000000000000000000000000000
χ20222222-2-2222222-2-2-22222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ2122222-1222-12-12-1222-122222-1-1-1-1-122-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-10202002200-1-100-1-10000-1-1-1-1000000
χ2222222-1222-12-12-1222-122222-1-1-1-1-122-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-10-20-200-2-20011001100001111000000
χ2322222-1222-12-12-12-2-2-12-2-22211-1-1-122-1-12211-1-1-1-1-1-2-21-1-11111-1-2-21-1-11111020-2002-200-1-100110000-1-111000000
χ2422222-1222-12-12-12-2-2-12-2-22211-1-1-122-1-12211-1-1-1-1-1-2-21-1-11111-1-2-21-1-111110-20200-22001100-1-1000011-1-1000000
χ2522222-1222-12-12-1-22-2-1-22-2-2-2-1-1-1-1-122-1-1-2-2-1-1-1-1-1-112-2111-1-11112-2111-1-111020200-2-200-1-100-1-100001111000000
χ2622222-1222-12-12-1-22-2-1-22-2-2-2-1-1-1-1-122-1-1-2-2-1-1-1-1-1-112-2111-1-11112-2111-1-1110-20-20022001100110000-1-1-1-1000000
χ2722222-1222-12-12-1-2-22-1-2-22-2-211-1-1-122-1-1-2-211-1-1-1-11-22-11111-1-11-22-11111-1-1020-200-2200-1-10011000011-1-1000000
χ2822222-1222-12-12-1-2-22-1-2-22-2-211-1-1-122-1-1-2-211-1-1-1-11-22-11111-1-11-22-11111-1-10-202002-2001100-1-10000-1-111000000
χ2922222-1-2-22-12-12-122-2-1-2-2222-1-1-1-1-1-2-211-2-2111111-12-21-1-1-1-1111-22-11111-1-10000000000−i3i300−i3i30000−i3i3−i3i3000000
χ3022222-1-2-22-12-12-122-2-1-2-2222-1-1-1-1-1-2-211-2-2111111-12-21-1-1-1-1111-22-11111-1-10000000000i3−i300i3−i30000i3−i3i3−i3000000
χ3122222-1-2-22-12-12-12-22-1-22-22211-1-1-1-2-211-2-2-1-11111-1-22-1-1-111-1-112-2111-1-1110000000000−i3i300i3−i30000−i3i3i3−i3000000
χ3222222-1-2-22-12-12-12-22-1-22-22211-1-1-1-2-211-2-2-1-11111-1-22-1-1-111-1-112-2111-1-1110000000000i3−i300−i3i30000i3−i3−i3i3000000
χ3322222-1-2-22-12-12-1-222-12-2-2-2-2-1-1-1-1-1-2-21122111111122-111-1-1-1-1-1-2-21-1-111110000000000−i3i300−i3i30000i3−i3i3−i3000000
χ3422222-1-2-22-12-12-1-222-12-2-2-2-2-1-1-1-1-1-2-21122111111122-111-1-1-1-1-1-2-21-1-111110000000000i3−i300i3−i30000−i3i3−i3i3000000
χ3522222-1-2-22-12-12-1-2-2-2-1222-2-211-1-1-1-2-21122-1-111111-2-21111111-122-1-1-1-1-1-1-10000000000−i3i300i3−i30000i3−i3−i3i3000000
χ3622222-1-2-22-12-12-1-2-2-2-1222-2-211-1-1-1-2-21122-1-111111-2-21111111-122-1-1-1-1-1-1-10000000000i3−i300−i3i30000−i3i3i3−i3000000
χ372222-1222-12-12-12222-1222-1-122-1-1-1-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-12-1-12-1-1-1-1-1-120202200-1-100-1-100-1-1-1-10000000000
χ382222-1222-12-12-12222-1222-1-122-1-1-1-1-122-1-122-1-1-1-12-1-12-1-1-1-1-1-12-1-12-1-1-1-1-1-1-20-20-2-2001100110011110000000000
χ392222-1222-12-12-122-2-2-12-2-2-1-1-2-2-1-1-1-1-122-1-1-2-2-1-1-1-1211-2-1-11111211-2-1-111112020-2-200-1-100-1-10011110000000000
χ402222-1222-12-12-122-2-2-12-2-2-1-1-2-2-1-1-1-1-122-1-1-2-2-1-1-1-1211-2-1-11111211-2-1-11111-20-20220011001100-1-1-1-10000000000
χ412222-1222-12-12-12-22-2-1-22-21122-1-1-1-1-1221122-1-1-1-1-2-11-211-1-111-2-11-211-1-11120-202-200-1-1001100-1-1110000000000
χ422222-1222-12-12-12-22-2-1-22-21122-1-1-1-1-1221122-1-1-1-1-2-11-211-1-111-2-11-211-1-111-2020-22001100-1-10011-1-10000000000
χ432222-1222-12-12-12-2-22-1-2-2211-2-2-1-1-1-1-12211-2-2-1-1-1-1-21-121111-1-1-21-121111-1-120-20-2200-1-100110011-1-10000000000
χ442222-1222-12-12-12-2-22-1-2-2211-2-2-1-1-1-1-12211-2-2-1-1-1-1-21-121111-1-1-21-121111-1-1-20202-2001100-1-100-1-1110000000000
χ452222-12-2-2-12-12-1222-2-1-2-22-1-122-1-1-111-2-211-2-211112-11-2-1-1-1-111-21-121111-1-100000000−i3i300−i3i300−i3i3−i3i30000000000
χ462222-12-2-2-12-12-1222-2-1-2-22-1-122-1-1-111-2-211-2-211112-11-2-1-1-1-111-21-121111-1-100000000i3−i300i3−i300i3−i3i3−i30000000000
χ472222-12-2-2-12-12-122-22-1-22-2-1-1-2-2-1-1-111-2-21122111121-12-1-111-1-1-2-11-211-1-11100000000−i3i300−i3i300i3−i3i3−i30000000000
χ482222-12-2-2-12-12-122-22-1-22-2-1-1-2-2-1-1-111-2-21122111121-12-1-111-1-1-2-11-211-1-11100000000i3−i300i3−i300−i3i3−i3i30000000000
χ492222-12-2-2-12-12-12-222-12-2-21122-1-1-111-2-2-1-1-2-21111-2-1-1211-1-1-1-1211-2-1-1111100000000−i3i300i3−i300−i3i3i3−i30000000000
χ502222-12-2-2-12-12-12-222-12-2-21122-1-1-111-2-2-1-1-2-21111-2-1-1211-1-1-1-1211-2-1-1111100000000i3−i300−i3i300i3−i3−i3i30000000000
χ512222-12-2-2-12-12-12-2-2-2-122211-2-2-1-1-111-2-2-1-1221111-211-21111112-1-12-1-1-1-1-1-100000000−i3i300i3−i300i3−i3−i3i30000000000
χ522222-12-2-2-12-12-12-2-2-2-122211-2-2-1-1-111-2-2-1-1221111-211-21111112-1-12-1-1-1-1-1-100000000i3−i300−i3i300−i3i3i3−i30000000000
χ534444-2-244-2-2-2-2-2-24441444-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-24-4-414-4-4-2-222111-2-2-2-2-2-2221111-222211-1-1-1-1-222211-1-1-1-1000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-44-41-44-422-2-2111-2-2-2-222-2-211112-222-1-111-1-12-222-1-111-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-441-4-442222111-2-2-2-22222111122-2-2-1-1-1-11122-2-2-1-1-1-111000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-244-41-4-44-2-2-2-211122222222-1-1-1-1-2-2221111-1-122-2-2-1-1-1-111000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-24-441-44-4-2-222111222222-2-2-1-1-1-1-22-2-211-1-1112-222-1-111-1-1000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-44414-4-422-2-21112222-2-222-1-1-1-12-2-2-2-1-11111-222211-1-1-1-1000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-4-4-4144422221112222-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ6144-4-4440044-4-4-4-4000400000004-4-40000000000000000000000000000000000000000000000000000000022−220000
χ6244-4-4440044-4-4-4-4000400000004-4-400000000000000000000000000000000000000000000000000000000−22220000
χ634-44-4444-4-4-444-4-400040000000-4-444-44-4000044-4-400000000000000000000000000000000000000000000000000
χ644-44-444-44-4-444-4-400040000000-4-44-44-440000-4-44400000000000000000000000000000000000000000000000000
χ654-44-44-24-4-424-2-42000-200000−2i32i322-24-4-2200−2i32i3-2-222000000−2i32i300000000−2i32i300000000000000000000000000000000
χ664-44-44-24-4-424-2-42000-2000002i3−2i322-24-4-22002i3−2i3-2-2220000002i3−2i3000000002i3−2i300000000000000000000000000000000
χ674-44-44-2-44-424-2-42000-200000−2i32i322-2-442-2002i3−2i322-2-2000000−2i32i3000000002i3−2i300000000000000000000000000000000
χ684-44-44-2-44-424-2-42000-2000002i3−2i322-2-442-200−2i32i322-2-20000002i3−2i300000000−2i32i300000000000000000000000000000000
χ694-44-4-244-42-4-242-4000-2000−2i32i30022-2-224-4−2i32i300-2-2220000−2i32i300000000−2i32i30000000000000000000000000000000000
χ704-44-4-244-42-4-242-4000-20002i3−2i30022-2-224-42i3−2i300-2-22200002i3−2i3000000002i3−2i30000000000000000000000000000000000
χ714-44-4-24-442-4-242-4000-2000−2i32i30022-22-2-442i3−2i30022-2-20000−2i32i3000000002i3−2i30000000000000000000000000000000000
χ724-44-4-24-442-4-242-4000-20002i3−2i30022-22-2-44−2i32i30022-2-200002i3−2i300000000−2i32i30000000000000000000000000000000000
χ734-44-4-2-24-422-2-2220001000−2i32i3−2i32i3-1-11-22-22−2i32i3−2i32i311-1-10000i3−i3i3−i33-30000i3−i3i3−i33-3000000000000000000000000000000
χ744-44-4-2-24-422-2-2220001000−2i32i32i3−2i3-1-11-22-22−2i32i32i3−2i311-1-10000i3−i3−i3i3-330000i3−i3−i3i3-33000000000000000000000000000000
χ754-44-4-2-24-422-2-22200010002i3−2i3−2i32i3-1-11-22-222i3−2i3−2i32i311-1-10000−i3i3i3−i3-330000−i3i3i3−i3-33000000000000000000000000000000
χ764-44-4-2-24-422-2-22200010002i3−2i32i3−2i3-1-11-22-222i3−2i32i3−2i311-1-10000−i3i3−i3i33-30000−i3i3−i3i33-3000000000000000000000000000000
χ774-44-4-2-2-4422-2-2220001000−2i32i3−2i32i3-1-112-22-22i3−2i32i3−2i3-1-1110000i3−i3i3−i3-330000−i3i3−i3i33-3000000000000000000000000000000
χ784-44-4-2-2-4422-2-2220001000−2i32i32i3−2i3-1-112-22-22i3−2i3−2i32i3-1-1110000i3−i3−i3i33-30000−i3i3i3−i3-33000000000000000000000000000000
χ794-44-4-2-2-4422-2-22200010002i3−2i3−2i32i3-1-112-22-2−2i32i32i3−2i3-1-1110000−i3i3i3−i33-30000i3−i3−i3i3-33000000000000000000000000000000
χ804-44-4-2-2-4422-2-22200010002i3−2i32i3−2i3-1-112-22-2−2i32i3−2i32i3-1-1110000−i3i3−i3i3-330000i3−i3i3−i33-3000000000000000000000000000000
χ814-4-444400-4-4-4-44400040000000-44-4000000000000000000000000000000000000000000000000000000000022−2200
χ824-4-444400-4-4-4-44400040000000-44-40000000000000000000000000000000000000000000000000000000000−222200
χ8388-8-88-4008-4-84-84000-40000000-44400000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4800-484-84-8000-40000000-44400000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-44444000200000002-2-2000000006i−6i6i−6i00000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-44444000200000002-2-200000000−6i6i−6i6i00000000000000000000000000000000000000000000000000
χ878-8-888-400-84-848-4000-400000004-4400000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-84-8-48000-400000004-4400000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-400020000000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-400020000000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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