Finite Group Databasebeta

← Group #11878505

Character table — Group #11878505

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121212242424242424242424242424242424242436364848727272
order1222334466666623466666121212121212121212121212246666666666612121212121212121212224488444466812121212121224242424881212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-111-111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-11-1-11-1-1-1-1-1-11111-1-111-1-1-1
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
χ51111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-11
χ61111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1
χ71111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-11-1-111111111-1-1-1-111-1
χ81111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-11
χ911111111111111-11-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-11-11-111-11-111-1-11-111-1-111-1-1111-11-1-1
χ1011111111111111-11-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-11-111-111-1-1-1-111-1-1-11-111
χ1111111111111111-11-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-111-11-1-11-1-11111-1-1-1-11-1-111
χ1211111111111111-11-1-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-11-11-1-111-11-1-111-1-11111-111-1-1
χ1311111111111111-11-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-111111111111-11-1111-11-11-1-11-1-1-11111-1-111-11-11-1
χ1411111111111111-11-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1111-111-1-1-111-1-111-1-11-11-11
χ1511111111111111-11-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-11111111111-11-111111-1-1-11-1-1111-1-111-1-1-1-1-111-11
χ1611111111111111-11-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-11-11-111-1111-1-1-1-111111-1-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-2-2-2-2-2-2-200200002200000000-2-200002-2-220000002-20-22000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2-2-2-2-200200002200000000-2-20000-222-2000000-2202-2000000000000000
χ19222222-2-2222222-222-2-2222-2-222222222-2-200-20000-2-200000000-2-2000022-2-2000000220-2-2000000000000000
χ20222222-2-2222222-222-2-2222-2-222222222-2-200-20000-2-200000000-2-20000-2-222000000-2-2022000000000000000
χ2122222-1222-122-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000220-1-10-1-1-1-1-1-100000000000
χ2222222-1222-122-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000-2-2011011111100000000000
χ2322222-1222-122-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-122-2-22-2-211-1-11111-2-211-1-111112222000-2-20-1-10-1-1111100000000000
χ2422222-1222-122-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-122-2-22-2-211-1-11111-2-211-1-11111-2-2-2-200022011011-1-1-1-100000000000
χ2522222-1222-122-1-1-2-1-211-1-1-1-1-1-2-2111111222-2-222-1-111-1-1-1-1-2-211-1-111112-22-20002-20-110-11-1-11100000000000
χ2622222-1222-122-1-1-2-1-211-1-1-1-1-1-2-2111111222-2-222-1-111-1-1-1-1-2-211-1-11111-22-22000-2201-101-111-1-100000000000
χ2722222-1222-122-1-1-2-1-211-1-1-1-1-1-2-211111122-22-2-2-21111111122-1-1-1-1-1-1-1-12-22-2000-220-110-1111-1-100000000000
χ2822222-1222-122-1-1-2-1-211-1-1-1-1-1-2-211111122-22-2-2-21111111122-1-1-1-1-1-1-1-1-22-220002-201-101-1-1-11100000000000
χ2922222-1-2-22-122-1-12-1-2-1-1-1-1-111-2-2111111-2-200200−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i32-2-22000000-1101-1−i3i3−i3i300000000000
χ3022222-1-2-22-122-1-12-1-2-1-1-1-1-111-2-2111111-2-200200−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3-222-20000001-10-11i3−i3i3−i300000000000
χ3122222-1-2-22-122-1-12-1-2-1-1-1-1-111-2-2111111-2-200200i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i32-2-22000000-1101-1i3−i3i3−i300000000000
χ3222222-1-2-22-122-1-12-1-2-1-1-1-1-111-2-2111111-2-200200i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3-222-20000001-10-11−i3i3−i3i300000000000
χ3322222-1-2-22-122-1-1-2-1211-1-1-11122-1-1-1-1-1-1-2-200-200−i3i311−i3−i3i3i300i3−i311i3i3−i3−i322-2-2000000-1-1011−i3i3i3−i300000000000
χ3422222-1-2-22-122-1-1-2-1211-1-1-11122-1-1-1-1-1-1-2-200-200−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-2-222000000110-1-1i3−i3−i3i300000000000
χ3522222-1-2-22-122-1-1-2-1211-1-1-11122-1-1-1-1-1-1-2-200-200i3−i311i3i3−i3−i300−i3i311−i3−i3i3i322-2-2000000-1-1011i3−i3−i3i300000000000
χ3622222-1-2-22-122-1-1-2-1211-1-1-11122-1-1-1-1-1-1-2-200-200i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-2-222000000110-1-1−i3i3i3−i300000000000
χ372222-1222-12-1-1222-1222-1-1-122-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222002002000000-1-1-1-100-1-1000
χ382222-1222-12-1-1222-1222-1-1-122-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-200-200-200000011110011000
χ392222-1222-12-1-1222-1222-1-1-122-1-122-1-1-1-1-1-1-2-2-111-2-2-1-1111111-2-2-1-11111000022-200-2002000000-1-1-1-10011000
χ402222-1222-12-1-1222-1222-1-1-122-1-122-1-1-1-1-1-1-2-2-111-2-2-1-1111111-2-2-1-111110000-2-2200200-2000000111100-1-1000
χ412222-1222-12-1-122-2-1-2-2-2-1-1-12211-2-21111-1-12-21-1-12211-1-1-1-111-2-2-1-11111000022-200200-2000000-1-11100-11000
χ422222-1222-12-1-122-2-1-2-2-2-1-1-12211-2-21111-1-12-21-1-12211-1-1-1-111-2-2-1-111110000-2-2200-200200000011-1-1001-1000
χ432222-1222-12-1-122-2-1-2-2-2-1-1-12211-2-21111-1-1-22111-2-2111111-1-122-1-1-1-1-1-1000022200-200-2000000-1-111001-1000
χ442222-1222-12-1-122-2-1-2-2-2-1-1-12211-2-21111-1-1-22111-2-2111111-1-122-1-1-1-1-1-10000-2-2-200200200000011-1-100-11000
χ454444-24-4-4-24-2-2444-2-444-2-2-2-4-422-4-422222200-20000-2-200000000220000000000000000000000000000000000
χ464444-24-4-4-24-2-244-4-24-4-4-2-2-2-4-4-2-244-2-2-2-22200200002200000000220000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-21111-2-244-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-21111-2-2-4-4-2222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422111-2-22222-1-1-1-1-2-24-42-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-22222-1-1-1-1-2-2-4422222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222-1-1-1-12200-200−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222-1-1-1-12200-2002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2-2-211112200200−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2-2-2111122002002i3−2i3-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000
χ5544-4-4440044-4-4-4-4040004-4-4000000000000000000000000000000000000000000000000000000000022−2200000
χ5644-4-4440044-4-4-4-4040004-4-40000000000000000000000000000000000000000000000000000000000−222200000
χ574-44-4444-4-4-4-444-404000-4-444-4000000004-4000000000000000004-40000000000000000000000000000000000
χ584-44-444-44-4-4-444-404000-4-44-4400000000-4400000000000000000-440000000000000000000000000000000000
χ594-44-44-24-4-42-44-220-20−2i32i322-2-2200−2i32i3−2i3−2i32i32i34-40000000−2i32i300000000-220000000000000000000000000000000000
χ604-44-44-24-4-42-44-220-202i3−2i322-2-22002i3−2i32i32i3−2i3−2i34-400000002i3−2i300000000-220000000000000000000000000000000000
χ614-44-44-2-44-42-44-220-20−2i32i322-22-2002i3−2i32i32i3−2i3−2i3-440000000−2i32i3000000002-20000000000000000000000000000000000
χ624-44-44-2-44-42-44-220-202i3−2i322-22-200−2i32i3−2i3−2i32i32i3-4400000002i3−2i3000000002-20000000000000000000000000000000000
χ634-44-4-244-42-42-24-40-200022-24-400000000-220000000000000−2i32i300-22−2i32i3−2i32i3000000000000000000000000000000
χ644-44-4-244-42-42-24-40-200022-24-400000000-2200000000000002i3−2i300-222i3−2i32i3−2i3000000000000000000000000000000
χ654-44-4-24-442-42-24-40-200022-2-44000000002-2000−2i32i30000−2i32i3−2i32i300002-20000000000000000000000000000000000
χ664-44-4-24-442-42-24-40-200022-2-44000000002-20002i3−2i300002i3−2i32i3−2i300002-20000000000000000000000000000000000
χ674-44-4-2-24-4222-2-22010−2i32i3-1-11-2200−2i32i3i3i3−i3−i3-220000000i3−i33-3-33−2i32i3001-1i3−i3i3−i3000000000000000000000000000000
χ684-44-4-2-24-4222-2-22010−2i32i3-1-11-2200−2i32i3i3i3−i3−i3-220000000i3−i3-333-32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000
χ694-44-4-2-24-4222-2-220102i3−2i3-1-11-22002i3−2i3−i3−i3i3i3-220000000−i3i33-3-332i3−2i3001-1−i3i3−i3i3000000000000000000000000000000
χ704-44-4-2-24-4222-2-220102i3−2i3-1-11-22002i3−2i3−i3−i3i3i3-220000000−i3i3-333-3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000
χ714-44-4-2-2-44222-2-22010−2i32i3-1-112-2002i3−2i3−i3−i3i3i32-2000−2i32i300i3−i3i3−i3i3−i30000-113-3-33000000000000000000000000000000
χ724-44-4-2-2-44222-2-22010−2i32i3-1-112-2002i3−2i3−i3−i3i3i32-20002i3−2i300i3−i3−i3i3−i3i30000-11-333-3000000000000000000000000000000
χ734-44-4-2-2-44222-2-220102i3−2i3-1-112-200−2i32i3i3i3−i3−i32-2000−2i32i300−i3i3i3−i3i3−i30000-11-333-3000000000000000000000000000000
χ744-44-4-2-2-44222-2-220102i3−2i3-1-112-200−2i32i3i3i3−i3−i32-20002i3−2i300−i3i3−i3i3−i3i30000-113-3-33000000000000000000000000000000
χ754-4-444400-4-44-4-4404000-44-400000000000000000000000000000000000000022−22000000000000022−22000000000
χ764-4-444400-4-44-4-4404000-44-4000000000000000000000000000000000000000−22220000000000000−2222000000000
χ774-4-44-24002-4-22-440-20002-220023−230023−2323−230000000000000000000000000000022−220000000000000−226−60000000
χ784-4-44-24002-4-22-440-20002-220023−230023−2323−2300000000000000000000000000000−222200000000000002−2−660000000
χ794-4-44-24002-4-22-440-20002-2200−232300−2323−23230000000000000000000000000000022−220000000000000−22−660000000
χ804-4-44-24002-4-22-440-20002-2200−232300−2323−232300000000000000000000000000000−222200000000000002−26−60000000
χ8188-8-88-4008-4-8-8440-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4800-4844-8-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-44444020002-2-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-44444020002-2-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ858-8-888-400-848-84-40-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-402000-22-20043−4300−2323−23230000000000000000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-402000-22-200−43430023−2323−230000000000000000000000000000000000000000000000000000000

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