Finite Group Databasebeta

← Group #11878438

Character table — Group #11878438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121212242424242424242424242424242424242436364848727272
order122233446666662346666666666612121212121244121212121212121212121212121212121212121212224488444466812121212121224242424881212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11-11-111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-11-1-11-1-1-1-1-1-11111-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111111-1-1-1-11
χ61111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-1-1-1-111-1-1-1-1-1-11111-1
χ71111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111111-1-11111-1-1-1-111-1
χ81111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-11
χ911111111111111-11-1-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11111-1-11-1-111-1-11-111-1-1111-1-11-1
χ1011111111111111-11-1-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1-1-11-1-111-1111-1-11-1-1-111-1-1-111-11
χ1111111111111111-11-1-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1111-111-1-11-1-1-111-1111-1-1-1-11-11-11
χ1211111111111111-11-1-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-111-111-1-111-11-1-11111-11-11-1
χ1311111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-1111-1-1-1-1111-111-1-111-111-1-1
χ1411111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-1-111-11-11-1-1111-1-1-111-1-11-1-111
χ1511111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-11111-11-11111-1-11-11-111-1-1-1111-1-1-1-1-11-111
χ1611111111111111-11-1-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-111-1-1-11111-1-1-11-1-111111-11-1-1
χ17222222-2-222222222-222222222222-2-2-2-2-2-200-200000000-2-2-2-2000000002-2-220000002-200000-2200000000000
χ18222222-2-222222222-222222222222-2-2-2-2-2-200-200000000-2-2-2-200000000-222-2000000-22000002-200000000000
χ19222222-2-2222222-222-2-2-2-222-2-2-2-22-2-222-2-200200000000-2-2220000000022-2-20000002200000-2-200000000000
χ20222222-2-2222222-222-2-2-2-222-2-2-2-22-2-222-2-200200000000-2-22200000000-2-222000000-2-2000002200000000000
χ2122222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222002020-1-10-1-1-1-1-1-100000000000
χ2222222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-20-2011011111100000000000
χ2322222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-2-211-2-211-1-1-1-111111111222200-20-20-1-101111-1-100000000000
χ2422222-12222-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-2-211-2-211-1-1-1-111111111-2-2-2-2002020110-1-1-1-11100000000000
χ2522222-12222-1-12-1-2-1-2-2-211-1-11111-1-1-111222-2-222-1-1-2-211-1-111-1-1-1-111112-22-20020-20-110-1-111-1100000000000
χ2622222-12222-1-12-1-2-1-2-2-211-1-11111-1-1-111222-2-222-1-1-2-211-1-111-1-1-1-11111-22-2200-20201-1011-1-11-100000000000
χ2722222-12222-1-12-1-2-1-2-2-211-1-11111-1-1-11122-22-2-2-21122-1-1-1-1111111-1-1-1-12-22-200-2020-11011-1-1-1100000000000
χ2822222-12222-1-12-1-2-1-2-2-211-1-11111-1-1-11122-22-2-2-21122-1-1-1-1111111-1-1-1-1-22-220020-201-10-1-1111-100000000000
χ2922222-1-2-222-1-12-12-1-222-1-1-1-1-1-1-1-1-11111-2-200-200−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32-2-22000000-110−i3i3−i3i31-100000000000
χ3022222-1-2-222-1-12-12-1-222-1-1-1-1-1-1-1-1-11111-2-200-200−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-222-20000001-10i3−i3i3−i3-1100000000000
χ3122222-1-2-222-1-12-12-1-222-1-1-1-1-1-1-1-1-11111-2-200-200i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-2-22000000-110i3−i3i3−i31-100000000000
χ3222222-1-2-222-1-12-12-1-222-1-1-1-1-1-1-1-1-11111-2-200-200i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-222-20000001-10−i3i3−i3i3-1100000000000
χ3322222-1-2-222-1-12-1-2-12-2-211-1-11111-111-1-1-2-200200−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i322-2-2000000-1-10−i3i3i3−i31100000000000
χ3422222-1-2-222-1-12-1-2-12-2-211-1-11111-111-1-1-2-200200−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-222000000110i3−i3−i3i3-1-100000000000
χ3522222-1-2-222-1-12-1-2-12-2-211-1-11111-111-1-1-2-200200i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i322-2-2000000-1-10i3−i3−i3i31100000000000
χ3622222-1-2-222-1-12-1-2-12-2-211-1-11111-111-1-1-2-200200i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-222000000110−i3i3i3−i3-1-100000000000
χ372222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220202002000000-1-1-1-100-1-1000
χ382222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-20-20-200-200000011110011000
χ392222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-1-1-2-2-111-2-211-2-2-1-1-1-1111111110000220-20-2002000000-1-1-1-10011000
χ402222-1222-1-122-122-12-1-122-1-1-1-1-1-1-12222-1-1-2-2-111-2-211-2-2-1-1-1-1111111110000-2-2020200-2000000111100-1-1000
χ412222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1-12-21-1-12211-2-2-1-111-1-1-1-11111000022020-200-2000000-1-11100-11000
χ422222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1-12-21-1-12211-2-2-1-111-1-1-1-111110000-2-20-20200200000011-1-1001-1000
χ432222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1-1-22111-2-2-1-122-1-1111111-1-1-1-10000220-20200-2000000-1-111001-1000
χ442222-1222-1-122-12-2-1-211-2-2-1-11111-122-2-2-1-1-22111-2-2-1-122-1-1111111-1-1-1-10000-2-2020-200200000011-1-100-11000
χ454444-24-4-4-2-244-244-2-4-2-244-2-2-2-2-2-2-2-4-4-4-42200200000000222200000000000000000000000000000000000000
χ464444-24-4-4-2-244-24-4-2422-4-4-2-22222-2-4-4442200-20000000022-2-200000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-2-244-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-2-2-4-4-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-4222211-1-1-1-11-2-222-2-24-42-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-4222211-1-1-1-11-2-222-2-2-4422222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-2111111122222200200−2i32i300−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-21111111222222002002i3−2i3002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-414222211-1-1-1-1122-2-22200-200−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414222211-1-1-1-1122-2-22200-2002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ5544-4-44400-444-4-4-404000004-40000-4000000000000000000000000000000000000000000000000000022−2200000
χ5644-4-44400-444-4-4-404000004-40000-40000000000000000000000000000000000000000000000000000−222200000
χ574-44-444004-4-44-4-40400000-440000-400000000000000000000000000000000022−22000000000000022−22000000000
χ584-44-444004-4-44-4-40400000-440000-4000000000000000000000000000000000−22220000000000000−2222000000000
χ594-44-4-2400-22-442-40-20−2i32i3002-2−2i3−2i32i32i3200000000000000000000000000000000022−220000000000000−22i6−i60000000
χ604-44-4-2400-22-442-40-20−2i32i3002-2−2i3−2i32i32i32000000000000000000000000000000000−222200000000000002−2−i6i60000000
χ614-44-4-2400-22-442-40-202i3−2i3002-22i32i3−2i3−2i3200000000000000000000000000000000022−220000000000000−22−i6i60000000
χ624-44-4-2400-22-442-40-202i3−2i3002-22i32i3−2i3−2i32000000000000000000000000000000000−222200000000000002−2i6−i60000000
χ634-4-44444-4-4-4-4-4440400000-4-4000044-4004-4000000000004-40000000000000000000000000000000000000000
χ644-4-4444-44-4-4-4-4440400000-4-400004-4400-4400000000000-440000000000000000000000000000000000000000
χ654-4-444-24-4-4-4224-20-2000−2i32i322−2i32i3−2i32i3-2-22−2i32i34-400000000000-22−2i32i300000000000000000000000000000000000000
χ664-4-444-24-4-4-4224-20-20002i3−2i3222i3−2i32i3−2i3-2-222i3−2i34-400000000000-222i3−2i300000000000000000000000000000000000000
χ674-4-444-2-44-4-4224-20-2000−2i32i322−2i32i3−2i32i3-22-22i3−2i3-44000000000002-22i3−2i300000000000000000000000000000000000000
χ684-4-444-2-44-4-4224-20-20002i3−2i3222i3−2i32i3−2i3-22-2−2i32i3-44000000000002-2−2i32i300000000000000000000000000000000000000
χ694-4-44-244-422-4-4-240-200000220000-24-400-220000000−2i32i300-22000000−2i32i3−2i32i3000000000000000000000000000000
χ704-4-44-244-422-4-4-240-200000220000-24-400-2200000002i3−2i300-220000002i3−2i32i3−2i3000000000000000000000000000000
χ714-4-44-24-4422-4-4-240-200000220000-2-44002-2000−2i32i30000002-200−2i32i3−2i32i30000000000000000000000000000000000
χ724-4-44-24-4422-4-4-240-200000220000-2-44002-20002i3−2i30000002-2002i3−2i32i3−2i30000000000000000000000000000000000
χ734-4-44-2-24-42222-2-201000−2i32i3-1-1i3−i3i3−i31-22−2i32i3-220000000−2i32i3001-1i3−i33-3-33i3−i3i3−i3000000000000000000000000000000
χ744-4-44-2-24-42222-2-201000−2i32i3-1-1i3−i3i3−i31-22−2i32i3-2200000002i3−2i3001-1i3−i3-333-3−i3i3−i3i3000000000000000000000000000000
χ754-4-44-2-24-42222-2-2010002i3−2i3-1-1−i3i3−i3i31-222i3−2i3-220000000−2i32i3001-1−i3i3-333-3i3−i3i3−i3000000000000000000000000000000
χ764-4-44-2-24-42222-2-2010002i3−2i3-1-1−i3i3−i3i31-222i3−2i3-2200000002i3−2i3001-1−i3i33-3-33−i3i3−i3i3000000000000000000000000000000
χ774-4-44-2-2-442222-2-201000−2i32i3-1-1i3−i3i3−i312-22i3−2i32-2000−2i32i3000000-11−i3i3i3−i3i3−i33-3-33000000000000000000000000000000
χ784-4-44-2-2-442222-2-201000−2i32i3-1-1i3−i3i3−i312-22i3−2i32-20002i3−2i3000000-11−i3i3−i3i3−i3i3-333-3000000000000000000000000000000
χ794-4-44-2-2-442222-2-2010002i3−2i3-1-1−i3i3−i3i312-2−2i32i32-2000−2i32i3000000-11i3−i3i3−i3i3−i3-333-3000000000000000000000000000000
χ804-4-44-2-2-442222-2-2010002i3−2i3-1-1−i3i3−i3i312-2−2i32i32-20002i3−2i3000000-11i3−i3−i3i3−i3i33-3-33000000000000000000000000000000
χ8188-8-88-400-88-44-840-400000-440000400000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48004-48-84-80-400000-440000400000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-444402000002-26-6-66-200000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4004-4-444402000002-2-666-6-200000000000000000000000000000000000000000000000000000000000
χ858-88-88-4008-84-4-840-4000004-40000400000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-444-444020−4i34i300-222i32i3−2i3−2i3-200000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-444-4440204i3−4i300-22−2i3−2i32i32i3-200000000000000000000000000000000000000000000000000000000000

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