Finite Group Databasebeta

← Group #11864506

Character table — Group #11864506

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666234666661212121222444466612121212121212121212244444668812121212121212124468121212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-11111-1-111-1-1111111-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111-111-1-1-1-111111111-1-1-1
χ911111111111111-11-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111111-111-1-11-1-1-111-1-1-111-1-111-1-111-1-111-1
χ1011111111111111-11-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1111-111-1-11-1-1111-1-1-1-1-111-1-111-1-111-1-11
χ1111111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11-1-111-11-11-1-1-11111-1-1-1-11111-1-1-1-11
χ1211111111111111-11-1-1-111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-111-11-1-1-1-1-111-1-11111-1-1-1-11111-1
χ1311111111111111-11-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-111-1-1-111-1-1-111111-1-111-1-1-1-111-1-11
χ1411111111111111-11-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-111-1-1-1111-1-1111-1-111-1-11111-1-111-1
χ1511111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111111-1-111-1-1-1-111-1-11111-1
χ1611111111111111-11-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-1111-11-1111-1-1-1-11111-1-111-1-1-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-20022200-2-200-2-2-2-2-2200002200-2-200000000-2000200000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2220022200-2-200-2-2-2-22-20000-2-20022000000002000-200000000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-222-2-200-2-2-2002200-2-2222-200002200-2-2000000002000-200000000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-22200-2-2-2002200-2-222-220000-2-2002200000000-2000200000000000000000
χ2122222-12222-1-12-12-1222-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-1220000-1-100-1-122-1-1-1-122-10-1-1-1-1-1000000000000000
χ2222222-12222-1-12-12-1222-1-1-1-1-1222222-2-2-1-1-1112-111-1-1-1-1220000-1-100-1-1-2-21111-2-2-1011-111000000000000000
χ2322222-12222-1-12-12-1222-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-2000011001122-1-1-1-1-2-21011111000000000000000
χ2422222-12222-1-12-12-1222-1-1-1-1-122-2-2-2-2-2-2-1-1-1112-111-1-1-1-1-2-20000110011-2-211112210-1-11-1-1000000000000000
χ2522222-12222-1-12-1-2-1-2-2-2-1-1-1-1-12222222-2111-1-1-2111-1-111-2-20000-1-100-1-12-2-1-1112-210-1-1111000000000000000
χ2622222-12222-1-12-1-2-1-2-2-2-1-1-1-1-1222222-2211111-21-1-1-1-111-2-20000-1-100-1-1-2211-1-1-2210111-1-1000000000000000
χ2722222-12222-1-12-1-2-1-2-2-2-1-1-1-1-122-2-2-2-22-2111-1-1-2111-1-1112200001100112-2-1-111-22-1011-1-1-1000000000000000
χ2822222-12222-1-12-1-2-1-2-2-2-1-1-1-1-122-2-2-2-2-2211111-21-1-1-1-111220000110011-2211-1-12-2-10-1-1-111000000000000000
χ2922222-1-2-222-1-12-12-1-222-1-1-111-2-222-2-200-1-1-1−i3i3-21−i3i31111-220000-1-1001100−i3i3−i3i30010−i3i3-1−i3i3000000000000000
χ3022222-1-2-222-1-12-12-1-222-1-1-111-2-222-2-200-1-1-1i3−i3-21i3−i31111-220000-1-1001100i3−i3i3−i30010i3−i3-1i3−i3000000000000000
χ3122222-1-2-222-1-12-12-1-222-1-1-111-2-2-2-22200-1-1-1−i3i3-21−i3i311112-200001100-1-100−i3i3−i3i300-10i3−i31i3−i3000000000000000
χ3222222-1-2-222-1-12-12-1-222-1-1-111-2-2-2-22200-1-1-1i3−i3-21i3−i311112-200001100-1-100i3−i3i3−i300-10−i3i31−i3i3000000000000000
χ3322222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-222-2-200111−i3i32-1i3−i311-1-12-20000-1-1001100−i3i3i3−i300-10−i3i31i3−i3000000000000000
χ3422222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-222-2-200111i3−i32-1−i3i311-1-12-20000-1-1001100i3−i3−i3i300-10i3−i31−i3i3000000000000000
χ3522222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-2-2-22200111−i3i32-1i3−i311-1-1-2200001100-1-100−i3i3i3−i30010i3−i3-1−i3i3000000000000000
χ3622222-1-2-222-1-12-1-2-12-2-2-1-1-111-2-2-2-22200111i3−i32-1−i3i311-1-1-2200001100-1-100i3−i3−i3i30010−i3i3-1i3−i3000000000000000
χ372222-1222-1-122-122-12-1-1-1-1-122-1-10000222-1-122-1222-1-1-1-1002222002200-1-1-1-1-1-1000200000-1-1-1-1-1-1-1-10000000
χ382222-1222-1-122-122-12-1-1-1-1-122-1-10000222-1-122-1222-1-1-1-100-2-2-2-200-2-200-1-1-1-1-1-1000-200000111111110000000
χ392222-1222-1-122-122-12-1-1-1-1-122-1-10000-2-22-1-1-2-2-12-2-2-1-1-1-100222200-2-200111111000-200000-1-1-1-111110000000
χ402222-1222-1-122-122-12-1-1-1-1-122-1-10000-2-22-1-1-2-2-12-2-2-1-1-1-100-2-2-2-20022001111110002000001111-1-1-1-10000000
χ412222-1222-1-122-12-2-1-211-1-1-122-1-100002-2-211221-2-2-2-1-1110022-2-2002200-11-1-111000-200000-1-111-1-1110000000
χ422222-1222-1-122-12-2-1-211-1-1-122-1-100002-2-211221-2-2-2-1-11100-2-22200-2-200-11-1-11100020000011-1-111-1-10000000
χ432222-1222-1-122-12-2-1-211-1-1-122-1-10000-22-211-2-21-222-1-1110022-2-200-2-2001-111-1-1000200000-1-11111-1-10000000
χ442222-1222-1-122-12-2-1-211-1-1-122-1-10000-22-211-2-21-222-1-11100-2-2220022001-111-1-1000-20000011-1-1-1-1110000000
χ452-2-22222-2-2-2-2-22202000-2-222-22-22-22-2000000000002-20000002-22-2002-2000000000000000002-20000002-2000
χ462-2-22222-2-2-2-2-22202000-2-222-22-22-22-2000000000002-2000000-222-2002-200000000000000000-22000000-22000
χ472-2-22222-2-2-2-2-22202000-2-222-22-2-22-22000000000002-20000002-2-2200-22000000000000000002-2000000-22000
χ482-2-22222-2-2-2-2-22202000-2-222-22-2-22-22000000000002-2000000-22-2200-2200000000000000000-220000002-2000
χ492-2-2222-22-2-2-2-22202000-2-22-22-222-2-2200000000000-2200002-2002-200-220000000000000002-20000002-200000
χ502-2-2222-22-2-2-2-22202000-2-22-22-222-2-2200000000000-220000-22002-200-22000000000000000-22000000-2200000
χ512-2-2222-22-2-2-2-22202000-2-22-22-22-222-200000000000-2200002-200-22002-20000000000000002-2000000-2200000
χ522-2-2222-22-2-2-2-22202000-2-22-22-22-222-200000000000-220000-2200-22002-2000000000000000-220000002-200000
χ534444-24-4-4-2-244-244-2-4-2-2-2-2-2-4-4220000004-2-2002-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-2-244-24-4-2422-2-2-2-4-422000000-42200-240022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2000044-211-2-2-2-2-2-21111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20000-4-4-21122-2-222111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200004-42-1-1-2-2222211-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-2-20000-442-1-12222-2-211-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-211−2i32i322−2i32i3-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222000000-2112i3−2i3222i3−2i3-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-4142211122220000002-1-1−2i32i3-2-22i3−2i3-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-4142211122220000002-1-12i3−2i3-2-2−2i32i3-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-444-4-4-404000-44-40000000000000000000000000000000000000000000000000000000000000022−220
χ6444-4-44400-444-4-4-404000-44-400000000000000000000000000000000000000000000000000000000000000−22220
χ654-44-444004-4-44-4-4040004-4-4000000000000000000000000000000022−2200000000000000000000022−22000000000
χ664-44-444004-4-44-4-4040004-4-40000000000000000000000000000000−2222000000000000000000000−2222000000000
χ674-44-4-2400-22-442-40-20−2i32i3-22200000000000−2i32i300000000000000000022−22000000000000000000000−22i6−i60000000
χ684-44-4-2400-22-442-40-20−2i32i3-22200000000000−2i32i3000000000000000000−22220000000000000000000002−2−i6i60000000
χ694-44-4-2400-22-442-40-202i3−2i3-222000000000002i3−2i300000000000000000022−22000000000000000000000−22−i6i60000000
χ704-44-4-2400-22-442-40-202i3−2i3-222000000000002i3−2i3000000000000000000−22220000000000000000000002−2i6−i60000000
χ714-4-444-24-4-4-4224-20-200022-2-224-44-44-400000000000-2200000000-2200-22000000000000000000000000000000
χ724-4-444-24-4-4-4224-20-200022-2-224-4-44-4400000000000-22000000002-2002-2000000000000000000000000000000
χ734-4-444-2-44-4-4224-20-200022-22-2-444-4-44000000000002-200000000-22002-2000000000000000000000000000000
χ744-4-444-2-44-4-4224-20-200022-22-2-44-444-4000000000002-2000000002-200-22000000000000000000000000000000
χ754-4-44-244-422-4-4-240-200022-24-4-22000000000000000-220000004-400000000000000000000000-2200000000000
χ764-4-44-244-422-4-4-240-200022-24-4-22000000000000000-22000000-44000000000000000000000002-200000000000
χ774-4-44-24-4422-4-4-240-200022-2-442-20000000000000002-200004-400000000000000000000000-220000000000000
χ784-4-44-24-4422-4-4-240-200022-2-442-20000000000000002-20000-44000000000000000000000002-20000000000000
χ7988-8-88-400-88-44-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48004-48-84-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-444402000-22-20000000000000000000006i−6i000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-444402000-22-2000000000000000000000−6i6i000000000000000000000000000000000000000000
χ838-88-88-4008-84-4-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-444-444020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-444-4440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-402000-2-22-44-440000000000000002-200000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-402000-2-224-44-4000000000000000-2200000000000000000000000000000000000000000000

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