Finite Group Databasebeta

← Group #11878378

Character table — Group #11878378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121212161616161616242424242424242424242424242424242424243636727272
order12223344666666234666661212121244666121212121212121212122244668812121212121212124444681212121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111111-1-111-111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-111-1-11-1-11111-1-1-11111-1-1-1-1-1
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
χ511111111111111111111111111-1-1111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111111-1-11
χ611111111111111111111111111-1-1111-1-111-1-11111111111-1-111-1-1-1-1-1-1-111-11-1-1-111111-1-1-1-1-1-1-1-111-1
χ711111111111111111111111111-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-1-1111111-1-111-1
χ811111111111111111111111111-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-111-1-11
χ911111111111111-11-1-1-111111111-1-1-1-111-1-1-1-111-1-11-11-11111111-111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-111
χ1011111111111111-11-1-1-111111111-1-1-1-111-1-1-1-111-1-11-11-111-1-1111-111-1-11-11-1-1111-1-111-1-1-1-1-111111-1-1
χ1111111111111111-11-1-1-111111111-1-1-1-111-1-1-1-111-1-1-11-11-1-111-1-11-111-1-1-11-111-1-1-111-1-111111-1-1111-1-1
χ1211111111111111-11-1-1-111111111-1-1-1-111-1-1-1-111-1-1-11-11-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-111111-1-111-1-1-111
χ1311111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-11-11-1111111-11-1-111-1-111-1-1-1-1-1-111-11111-1-1-1-11-11
χ1411111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-11-11-111-1-111-11-1-111-11-11-11-1-111-1-1-111-1-11111-11-1
χ1511111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-11-1-1111-11-11-111-1-1111-1-111-1-111-11-1
χ1611111111111111-11-1-1-11111111-11-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-11-1-11111-1-1111111-1-11-1-1-1-111-1-11-11
χ17222222-2-222222222-222222-2-2-2-20022200-2-200-2-2-2-22-2-222200-2-20000000000-20000000200000000000
χ18222222-2-222222222-222222-2-2-2-20022200-2-200-2-2-2-2-222-2-2-20022000000000020000000-200000000000
χ19222222-2-2222222-222-2-2222-2-2-2-200-2-2-2002200-2-22222-2-22200-2-2000000000020000000-200000000000
χ20222222-2-2222222-222-2-2222-2-2-2-200-2-2-2002200-2-222-2-222-2-200220000000000-20000000200000000000
χ2122222-1222-12-12-12-1222-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-1-1-12222-1-100-1-122-1-1-1-12002-10-1-10000-1-1-1000000000
χ2222222-1222-12-12-12-1222-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-2-2-2-211001122-1-1-1-1-200-210110000111000000000
χ2322222-1222-12-12-12-1222-1-1-1-1-122-2-2-1-1-1112-111-1-1-1-12222-1-100-1-1-2-21111-200-2-10110000-111000000000
χ2422222-1222-12-12-12-1222-1-1-1-1-122-2-2-1-1-1112-111-1-1-1-1-2-2-2-2110011-2-21111200210-1-100001-1-1000000000
χ2522222-1222-12-12-1-2-1-2-2-2-1-1-1-1-1222-2111-1-1-2111-1-1112-22-2-1-100-1-12-2-1-111200-210-1-10000111000000000
χ2622222-1222-12-12-1-2-1-2-2-2-1-1-1-1-1222-2111-1-1-2111-1-111-22-221100112-2-1-111-2002-10110000-1-1-1000000000
χ2722222-1222-12-12-1-2-1-2-2-2-1-1-1-1-122-2211111-21-1-1-1-1112-22-2-1-100-1-1-2211-1-1-2002101100001-1-1000000000
χ2822222-1222-12-12-1-2-1-2-2-2-1-1-1-1-122-2211111-21-1-1-1-111-22-22110011-2211-1-1200-2-10-1-10000-111000000000
χ2922222-1-2-22-12-12-12-1-222-1-1-111-2-200-1-1-1−i3i3-21−i3i311112-2-22-1-1001100−i3i3−i3i3000010−i3i30000-1−i3i3000000000
χ3022222-1-2-22-12-12-12-1-222-1-1-111-2-200-1-1-1−i3i3-21−i3i31111-222-21100-1-100−i3i3−i3i30000-10i3−i300001i3−i3000000000
χ3122222-1-2-22-12-12-12-1-222-1-1-111-2-200-1-1-1i3−i3-21i3−i311112-2-22-1-1001100i3−i3i3−i3000010i3−i30000-1i3−i3000000000
χ3222222-1-2-22-12-12-12-1-222-1-1-111-2-200-1-1-1i3−i3-21i3−i31111-222-21100-1-100i3−i3i3−i30000-10−i3i300001−i3i3000000000
χ3322222-1-2-22-12-12-1-2-12-2-2-1-1-111-2-200111−i3i32-1i3−i311-1-122-2-2-1-1001100−i3i3i3−i30000-10−i3i300001i3−i3000000000
χ3422222-1-2-22-12-12-1-2-12-2-2-1-1-111-2-200111−i3i32-1i3−i311-1-1-2-2221100-1-100−i3i3i3−i3000010i3−i30000-1−i3i3000000000
χ3522222-1-2-22-12-12-1-2-12-2-2-1-1-111-2-200111i3−i32-1−i3i311-1-122-2-2-1-1001100i3−i3−i3i30000-10i3−i300001−i3i3000000000
χ3622222-1-2-22-12-12-1-2-12-2-2-1-1-111-2-200111i3−i32-1−i3i311-1-1-2-2221100-1-100i3−i3−i3i3000010−i3i30000-1i3−i3000000000
χ372222-1222-12-12-122-12-1-1-1-1-122-1-1222-1-122-1222-1-1-1-10000002200-1-1-1-1-1-102200200-1-1-1-1000-1-1-1-100000
χ382222-1222-12-12-122-12-1-1-1-1-122-1-1222-1-122-1222-1-1-1-1000000-2-200-1-1-1-1-1-10-2-200-2001111000111100000
χ392222-1222-12-12-122-12-1-1-1-1-122-1-1-2-22-1-1-2-2-12-2-2-1-1-1-100000022001111110-2-2002001111000-1-1-1-100000
χ402222-1222-12-12-122-12-1-1-1-1-122-1-1-2-22-1-1-2-2-12-2-2-1-1-1-1000000-2-20011111102200-200-1-1-1-1000111100000
χ412222-1222-12-12-12-2-1-211-1-1-122-1-12-2-211221-2-2-2-1-1110000002200-11-1-11102-200-200-1-111000-1-11100000
χ422222-1222-12-12-12-2-1-211-1-1-122-1-12-2-211221-2-2-2-1-111000000-2-200-11-1-1110-220020011-1-100011-1-100000
χ432222-1222-12-12-12-2-1-211-1-1-122-1-1-22-211-2-21-222-1-11100000022001-111-1-10-2200-20011-1-1000-1-11100000
χ442222-1222-12-12-12-2-1-211-1-1-122-1-1-22-211-2-21-222-1-111000000-2-2001-111-1-102-200200-1-11100011-1-100000
χ454444-24-4-4-24-24-244-2-4-2-2-2-2-2-4-422004-2-2002-40022220000000000000000000000000000000000000000
χ464444-24-4-4-24-24-24-4-2422-2-2-2-4-42200-42200-240022-2-20000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-244-211-2-2-2-2-2-211110000000000-2-21111000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-4-4-21122-2-2221111000000000022-1-1-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422111-2-2-2-24-42-1-1-2-2222211-1-10000000000-2211-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2-442-1-12222-2-211-1-100000000002-2-1-111000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-211−2i32i322−2i32i3-1-1-1-1000000000000i3−i3i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-2112i3−2i3222i3−2i3-1-1-1-1000000000000−i3i3−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1−2i32i3-2-22i3−2i3-1-111000000000000i3−i3−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-12i3−2i3-2-2−2i32i3-1-111000000000000−i3i3i3−i3000000000000000000000000
χ5544-4-4440044-4-4-4-404000-44-400000000000000000000000000000000000000000000000000000022−22000
χ5644-4-4440044-4-4-4-404000-44-4000000000000000000000000000000000000000000000000000000−2222000
χ574-44-44400-4-4-444-4040004-4-40000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ584-44-44400-4-4-444-4040004-4-400000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ594-44-4-24002-424-2-40-20−2i32i3-2220000000−2i32i30000000000000000−2i22i200000000000000000000000i2−i26−600000
χ604-44-4-24002-424-2-40-20−2i32i3-2220000000−2i32i300000000000000002i2−2i200000000000000000000000−i2i2−6600000
χ614-44-4-24002-424-2-40-202i3−2i3-22200000002i3−2i30000000000000000−2i22i200000000000000000000000i2−i2−6600000
χ624-44-4-24002-424-2-40-202i3−2i3-22200000002i3−2i300000000000000002i2−2i200000000000000000000000−i2i26−600000
χ634-4-44444-4-4-44-4-4404000-4-444-44-4000000000004-4000000000000000000000000000000000000000000
χ644-4-4444-44-4-44-4-4404000-4-44-44-4400000000000-44000000000000000000000000000000000000000000
χ654-4-444-24-4-4242-4-20-200022-2-224-400000000000-22000000−2i32i300−2i32i3000000000000000000000000000000
χ664-4-444-24-4-4242-4-20-200022-2-224-400000000000-220000002i3−2i3002i3−2i3000000000000000000000000000000
χ674-4-444-2-44-4242-4-20-200022-22-2-44000000000002-2000000−2i32i3002i3−2i3000000000000000000000000000000
χ684-4-444-2-44-4242-4-20-200022-22-2-44000000000002-20000002i3−2i300−2i32i3000000000000000000000000000000
χ694-4-44-244-42-4-2-4240-200022-24-4-2200000000000-220000000000000000000000000023−2300000000000000
χ704-4-44-244-42-4-2-4240-200022-24-4-2200000000000-2200000000000000000000000000−232300000000000000
χ714-4-44-24-442-4-2-4240-200022-2-442-2000000000002-2000000000000000000000000000023−23000000000000
χ724-4-44-24-442-4-2-4240-200022-2-442-2000000000002-20000000000000000000000000000−2323000000000000
χ7388-8-88-4008-4-84-840-40004-4400000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4800-484-84-80-40004-4400000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4-4444402000-22-2000000000000000006i−6i0000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444402000-22-200000000000000000−6i6i0000000000000000000000000000000000000000
χ778-88-88-400-84-8-4840-4000-44400000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-400444-4-44020−4i34i32-2-200000002i3−2i300000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-4-440204i3−4i32-2-20000000−2i32i300000000000000000000000000000000000000000000000000
χ808-8-88-4-48-844-444-402000-2-22-44-44000000000002-2000000000000000000000000000000000000000000
χ818-8-88-4-4-8844-444-402000-2-224-44-400000000000-22000000000000000000000000000000000000000000

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