Finite Group Databasebeta

← Group #11878509

Character table — Group #11878509

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121212161616161616242424242424242424242424242424242424243636727272
order122233446666662346666612121212446661212121212121212121222446688121212121212121224446668121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111111111-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-111-1-1-11-1-1-111111111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111-1-11111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-1111111-1-11
χ611111111111111111111111111-1-11111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1-1-1-1-1-111-1
χ711111111111111111111111111-1-11111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-11111-1-111-1
χ811111111111111111111111111-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-11111-1-1-1-111-1-11
χ911111111111111-11-1-1-111111111-1-1-1-1-111-1-1-111-1-11-11-1111111-1111-1-1-111-1-1-1-1-111-111-1-111-1-1-1-1-111
χ1011111111111111-11-1-1-111111111-1-1-1-1-111-1-1-111-1-11-11-111-1-111-1111-1-1-11-11-1-1-1111-1-1-111-1-111111-1-1
χ1111111111111111-11-1-1-111111111-1-1-1-1-111-1-1-111-1-1-11-11-1-111-1-1-1111-1-11-11-1111-1-1-1111-1-111-1-1111-1-1
χ1211111111111111-11-1-1-111111111-1-1-1-1-111-1-1-111-1-1-11-11-1-1-1-1-1-1-1111-1-11-1-111111-1-11-1-111-1-111-1-1-111
χ1311111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-11-11-11111111-1-1-1111-1-11-111-1-1-1-1-1-11111-1-1-1-11-11
χ1411111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-11-11-111-1-1111-1-1-1111-11-1-1111-1-1-111-1-1-1-11111-11-1
χ1511111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-11-1-1-111-11-111-1-1-1111-1-11111-1-111-11-1
χ1611111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-11-1-1-111-111-11-1-1111111-1-1-1-111-1-11-11
χ17222222-2-222222222-222222-2-2-2-200222-200-200-2-2-2-22-2-222200-2-20000000000-20000020000000000000
χ18222222-2-222222222-222222-2-2-2-200222-200-200-2-2-2-2-222-2-2-200220000000000200000-20000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-200-2-2-2200200-2-22222-2-22200-2-20000000000200000-20000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-200-2-2-2200200-2-222-2-222-2-200220000000000-20000020000000000000
χ2122222-1222-12-1-122-1222-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-12222-1-100-1-122-1-1-1-12200-1-1-10-1-1-10000000000000
χ2222222-1222-12-1-122-1222-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-211001122-1-1-1-1-2-20011101110000000000000
χ2322222-1222-12-1-122-1222-1-1-1-1-122-2-2-1-1-1211-111-1-1-1-12222-1-100-1-1-2-21111-2-200-111011-10000000000000
χ2422222-1222-12-1-122-1222-1-1-1-1-122-2-2-1-1-1211-111-1-1-1-1-2-2-2-2110011-2-2111122001-1-10-1-110000000000000
χ2522222-1222-12-1-12-2-1-2-2-2-1-1-1-1-1222-2111-2-1-1111-1-1112-22-2-1-100-1-1-22-1-111-22001110-1-110000000000000
χ2622222-1222-12-1-12-2-1-2-2-2-1-1-1-1-1222-2111-2-1-1111-1-111-22-22110011-22-1-1112-200-1-1-1011-10000000000000
χ2722222-1222-12-1-12-2-1-2-2-2-1-1-1-1-122-22111-2111-1-1-1-1112-22-2-1-100-1-12-211-1-12-2001-1-101110000000000000
χ2822222-1222-12-1-12-2-1-2-2-2-1-1-1-1-122-22111-2111-1-1-1-111-22-221100112-211-1-1-2200-1110-1-1-10000000000000
χ2922222-1-2-22-12-1-122-1-222-1-1-111-2-200-1-1-1-2−i3i31−i3i311112-2-22-1-1001100−i3i3−i3i300001−i3i30−i3i3-10000000000000
χ3022222-1-2-22-12-1-122-1-222-1-1-111-2-200-1-1-1-2−i3i31−i3i31111-222-21100-1-100−i3i3−i3i30000-1i3−i30i3−i310000000000000
χ3122222-1-2-22-12-1-122-1-222-1-1-111-2-200-1-1-1-2i3−i31i3−i311112-2-22-1-1001100i3−i3i3−i300001i3−i30i3−i3-10000000000000
χ3222222-1-2-22-12-1-122-1-222-1-1-111-2-200-1-1-1-2i3−i31i3−i31111-222-21100-1-100i3−i3i3−i30000-1−i3i30−i3i310000000000000
χ3322222-1-2-22-12-1-12-2-12-2-2-1-1-111-2-2001112−i3i3-1i3−i311-1-122-2-2-1-1001100−i3i3i3−i30000-1i3−i30−i3i310000000000000
χ3422222-1-2-22-12-1-12-2-12-2-2-1-1-111-2-2001112−i3i3-1i3−i311-1-1-2-2221100-1-100−i3i3i3−i300001−i3i30i3−i3-10000000000000
χ3522222-1-2-22-12-1-12-2-12-2-2-1-1-111-2-2001112i3−i3-1−i3i311-1-122-2-2-1-1001100i3−i3−i3i30000-1−i3i30i3−i310000000000000
χ3622222-1-2-22-12-1-12-2-12-2-2-1-1-111-2-2001112i3−i3-1−i3i311-1-1-2-2221100-1-100i3−i3−i3i300001i3−i30−i3i3-10000000000000
χ372222-1222-12-122-12-12-1-1-1-1-122-1-1222-1-1-122222-1-1-1-10000002200-1-1-1-1-1-100220002000-1-1-1-1-1-1-1-100000
χ382222-1222-12-122-12-12-1-1-1-1-122-1-1222-1-1-122222-1-1-1-1000000-2-200-1-1-1-1-1-100-2-2000-20001111111100000
χ392222-1222-12-122-12-12-1-1-1-1-122-1-1-2-22-1-1-1-2-22-2-2-1-1-1-1000000220011111100-2-200020001111-1-1-1-100000
χ402222-1222-12-122-12-12-1-1-1-1-122-1-1-2-22-1-1-1-2-22-2-2-1-1-1-1000000-2-2001111110022000-2000-1-1-1-1111100000
χ412222-1222-12-122-1-2-1-211-1-1-122-1-12-2-211122-2-2-2-1-11100000022001-1-1-111002-2000-2000-1-111-1-11100000
χ422222-1222-12-122-1-2-1-211-1-1-122-1-12-2-211122-2-2-2-1-111000000-2-2001-1-1-11100-22000200011-1-111-1-100000
χ432222-1222-12-122-1-2-1-211-1-1-122-1-1-22-2111-2-2-222-1-1110000002200-1111-1-100-22000-200011-1-1-1-11100000
χ442222-1222-12-122-1-2-1-211-1-1-122-1-1-22-2111-2-2-222-1-111000000-2-200-1111-1-1002-20002000-1-11111-1-100000
χ454444-24-4-4-24-244-24-2-4-2-2-2-2-2-4-422004-2-2200-40022220000000000000000000000000000000000000000
χ464444-24-4-4-24-244-2-4-2422-2-2-2-4-42200-422-20040022-2-20000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-244-211-2-2-2-2-2-211110000000000-2-21111000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-4-4-211-222-2221111000000000022-1-1-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422111-2-2-2-24-42-1-12-2-222211-1-100000000002-211-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2-442-1-12222-2-211-1-10000000000-22-1-111000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-2112−2i32i32−2i32i3-1-1-1-1000000000000i3−i3i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-21122i3−2i322i3−2i3-1-1-1-1000000000000−i3i3−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-2−2i32i3-22i3−2i3-1-111000000000000i3−i3−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-22i3−2i3-2−2i32i3-1-111000000000000−i3i3i3−i3000000000000000000000000
χ5544-4-4440044-4-4-4-4040004-4-4000000000000000000000000022−220000000000000000000000022−220000000
χ5644-4-4440044-4-4-4-4040004-4-40000000000000000000000000−222200000000000000000000000−22220000000
χ5744-4-4-2400-242-4-420-20−2i32i3-2220000000−2i32i3000000000000000022−2200000000000000000000000−22i6−i600000
χ5844-4-4-2400-242-4-420-20−2i32i3-2220000000−2i32i30000000000000000−2222000000000000000000000002−2−i6i600000
χ5944-4-4-2400-242-4-420-202i3−2i3-22200000002i3−2i3000000000000000022−2200000000000000000000000−22−i6i600000
χ6044-4-4-2400-242-4-420-202i3−2i3-22200000002i3−2i30000000000000000−2222000000000000000000000002−2i6−i600000
χ614-44-44400-4-4-44-4404000-44-400000000000000000000000000000000000000000000000000000022−22000
χ624-44-44400-4-4-44-4404000-44-4000000000000000000000000000000000000000000000000000000−2222000
χ634-4-44444-4-4-44-44-404000-4-444-44-4000000000004-4000000000000000000000000000000000000000000
χ644-4-4444-44-4-44-44-404000-4-44-44-4400000000000-44000000000000000000000000000000000000000000
χ654-4-444-24-4-4242-2-40-200022-2-224-400000000000-22000000−2i32i300−2i32i3000000000000000000000000000000
χ664-4-444-24-4-4242-2-40-200022-2-224-400000000000-220000002i3−2i3002i3−2i3000000000000000000000000000000
χ674-4-444-2-44-4242-2-40-200022-22-2-44000000000002-2000000−2i32i3002i3−2i3000000000000000000000000000000
χ684-4-444-2-44-4242-2-40-200022-22-2-44000000000002-20000002i3−2i300−2i32i3000000000000000000000000000000
χ694-4-44-244-42-4-2-4420-200022-24-4-2200000000000-220000000000000000000000000000023−2300000000000
χ704-4-44-244-42-4-2-4420-200022-24-4-2200000000000-2200000000000000000000000000000−232300000000000
χ714-4-44-24-442-4-2-4420-200022-2-442-2000000000002-2000000000000000000000000000000023−23000000000
χ724-4-44-24-442-4-2-4420-200022-2-442-2000000000002-20000000000000000000000000000000−2323000000000
χ7388-8-88-4008-4-844-80-4000-44400000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4-44444020−4i34i32-2-200000002i3−2i300000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4-444440204i3−4i32-2-20000000−2i32i300000000000000000000000000000000000000000000000000
χ768-88-88-400-84-8-4480-40004-4400000000000000000000000000000000000000000000000000000000000
χ778-88-8-48004-848-8-40-40004-4400000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-400444-44-402000-22-2000000000000000006i−6i0000000000000000000000000000000000000000
χ798-88-8-4-400444-44-402000-22-200000000000000000−6i6i0000000000000000000000000000000000000000
χ808-8-88-4-48-844-44-4402000-2-22-44-44000000000002-2000000000000000000000000000000000000000000
χ818-8-88-4-4-8844-44-4402000-2-224-44-400000000000-22000000000000000000000000000000000000000000

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