Finite Group Databasebeta

← Group #11889378

Character table — Group #11889378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666234666668812121212121212121212666812121224242424242424242424242424242424444422444444121212121212121244488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-11111-1-1-1-1111-1-11-11-1-1
χ61111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-111111-1-1-1-1-1-1-111-11-111
χ71111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111111-1-1-11-11-1
χ81111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-1-1-11111-1-1-1111-11-11
χ911111111111111-11-1-1-11111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-111-1-1-1-11111-1-11-1
χ1011111111111111-11-1-1-11111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-111-11
χ1111111111111111-11-1-1-11111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-111-1-1111-111-1-1
χ1211111111111111-11-1-1-11111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-11-1-111
χ1311111111111111-11-1-1-1111-1-111-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1111-1-111-1-1-1-111-1-11-1-111-1-11
χ1411111111111111-11-1-1-1111-1-111-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-111-1
χ1511111111111111-11-1-1-1111-1-111-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-111-1-11111-1-1-1-11-1-1-1-1111
χ1611111111111111-11-1-1-1111-1-111-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-1-1-11111-1-111-11111-1-1-1
χ17222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-20000000000000000000022000000000000002-2-20000000
χ18222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-200000000000000000000-2-200000000000000-2220000000
χ19222222-2-2222222-222-2-222200-2-222-2-2-2-2-2-2-2-2-20222000000000000000000002200000000000000-22-20000000
χ20222222-2-2222222-222-2-222200-2-222-2-2-2-2-2-2-2-2-2022200000000000000000000-2-2000000000000002-220000000
χ2122222-12222-1-12-12-1222-1-1-1222-122-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000220220000000000000-1-1-1-10
χ2222222-12222-1-12-12-1222-1-1-1222-122-1-12-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000-2-20-2-2000000000000011110
χ2322222-12222-1-12-12-1222-1-1-1-2-22-122-1-12-1-1-1-1-1-1-2-1-1-1-2-2111111-2-211111100000002-202-20000000000000-11-110
χ2422222-12222-1-12-12-1222-1-1-1-2-22-122-1-12-1-1-1-1-1-1-2-1-1-1-2-2111111-2-21111110000000-220-2200000000000001-11-10
χ2522222-12222-1-12-1-2-1-2-2-2-1-1-1222-1-2-2-1-12-1-1-1111-211122-1-1-1-1-1-1-2-211111100000002-20-220000000000000-111-10
χ2622222-12222-1-12-1-2-1-2-2-2-1-1-1222-1-2-2-1-12-1-1-1111-211122-1-1-1-1-1-1-2-21111110000000-2202-200000000000001-1-110
χ2722222-12222-1-12-1-2-1-2-2-2-1-1-1-2-22-1-2-2-1-12-1-1-11112111-2-211111122-1-1-1-1-1-10000000220-2-20000000000000-1-1110
χ2822222-12222-1-12-1-2-1-2-2-2-1-1-1-2-22-1-2-2-1-12-1-1-11112111-2-211111122-1-1-1-1-1-10000000-2-2022000000000000011-1-10
χ292222-1222-1-122-122-12-1-1-1-1-122-12-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200200200-1-1-1-1-1-1-1-10000000000
χ302222-1222-1-122-122-12-1-1-1-1-122-12-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-200-200-200111111110000000000
χ312222-1222-1-122-122-12-1-1-1-1-1-2-2-12-1-1-1-1-12-1-12-1-1-22-1-111-2-2111111-2-2111122-2-200200-200-1-1-1-111110000000000
χ322222-1222-1-122-122-12-1-1-1-1-1-2-2-12-1-1-1-1-12-1-12-1-1-22-1-111-2-2111111-2-21111-2-22200-2002001111-1-1-1-10000000000
χ332222-1222-1-122-12-2-1-211-1-1-122-1211-1-1-12-1-1-211-2-211-1-122-1-1-1-111-2-21111222200-200-200-1-111-1-1110000000000
χ342222-1222-1-122-12-2-1-211-1-1-122-1211-1-1-12-1-1-211-2-211-1-122-1-1-1-111-2-21111-2-2-2-20020020011-1-111-1-10000000000
χ352222-1222-1-122-12-2-1-211-1-1-1-2-2-1211-1-1-12-1-1-2112-21111-2-21111-1-122-1-1-1-122-2-200-200200-1-11111-1-10000000000
χ362222-1222-1-122-12-2-1-211-1-1-1-2-2-1211-1-1-12-1-1-2112-21111-2-21111-1-122-1-1-1-1-2-22200200-20011-1-1-1-1110000000000
χ372-2-22222-2-2-2-2-22202000-2-222i−2i220022-2-2-2-200000002i−2i2i−2i2i2i−2i−2i000000002i−2i2-2000000002i−2i002-2000000000000
χ382-2-22222-2-2-2-2-22202000-2-222i−2i220022-2-2-2-200000002i−2i2i−2i2i2i−2i−2i00000000−2i2i-2200000000−2i2i00-22000000000000
χ392-2-22222-2-2-2-2-22202000-2-22−2i2i220022-2-2-2-20000000−2i2i−2i2i−2i−2i2i2i000000002i−2i-22000000002i−2i00-22000000000000
χ402-2-22222-2-2-2-2-22202000-2-22−2i2i220022-2-2-2-20000000−2i2i−2i2i−2i−2i2i2i00000000−2i2i2-200000000−2i2i002-2000000000000
χ412-2-22-122-211-2-2-120-10−i3i311-12i−2i-12−i3i3-1-11-2110−i3i300−i3i3−ii2i−2i−i−iii3−30033−3−32i−2i2-200000000−ii3−3-11−i3i30000000000
χ422-2-22-122-211-2-2-120-10−i3i311-12i−2i-12−i3i3-1-11-2110−i3i300−i3i3−ii2i−2i−i−iii3−30033−3−3−2i2i-2200000000i−i−331-1i3−i30000000000
χ432-2-22-122-211-2-2-120-10−i3i311-1−2i2i-12−i3i3-1-11-2110−i3i300−i3i3i−i−2i2iii−i−i−3300−3−3332i−2i-2200000000−ii3−31-1i3−i30000000000
χ442-2-22-122-211-2-2-120-10−i3i311-1−2i2i-12−i3i3-1-11-2110−i3i300−i3i3i−i−2i2iii−i−i−3300−3−333−2i2i2-200000000i−i−33-11−i3i30000000000
χ452-2-22-122-211-2-2-120-10i3−i311-12i−2i-12i3−i3-1-11-2110i3−i300i3−i3−ii2i−2i−i−iii−3300−3−3332i−2i2-200000000−ii−33-11i3−i30000000000
χ462-2-22-122-211-2-2-120-10i3−i311-12i−2i-12i3−i3-1-11-2110i3−i300i3−i3−ii2i−2i−i−iii−3300−3−333−2i2i-2200000000i−i3−31-1−i3i30000000000
χ472-2-22-122-211-2-2-120-10i3−i311-1−2i2i-12i3−i3-1-11-2110i3−i300i3−i3i−i−2i2iii−i−i3−30033−3−32i−2i-2200000000−ii−331-1−i3i30000000000
χ482-2-22-122-211-2-2-120-10i3−i311-1−2i2i-12i3−i3-1-11-2110i3−i300i3−i3i−i−2i2iii−i−i3−30033−3−3−2i2i2-200000000i−i3−3-11i3−i30000000000
χ4944444-2-4-444-2-24-24-2-444-2-2-200-42-4-422-4222-2-2-202220000000000000000000000000000000000000000000000
χ5044444-2-4-444-2-24-2-4-24-4-4-2-2-200-424422-42222220-2-2-20000000000000000000000000000000000000000000000
χ514444-24-4-4-2-244-244-2-4-2-2-2-2-2002-422222-4224-2-20-4220000000000000000000000000000000000000000000000
χ524444-24-4-4-2-244-24-4-2422-2-2-2002-4-2-2222-422-42204-2-20000000000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2414-2-211144-2-2-2-211-2-211-2114-211-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2414-2-2111-4-4-2-2-2-211-2-211-211-4-2112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-41-42211144-2-22211-2-2112-1-1-42-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-422111-4-4-2-22211-2-2112-1-142-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-241-4-2-2111002222-1-122-1-1-21102-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-241-4-2-2111002222-1-122-1-1-21102-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-414221110022-2-2-1-122-1-12-1-10-21100003i−3i3i−3i0000−3i3i−3i3i000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-414221110022-2-2-1-122-1-12-1-10-2110000−3i3i−3i3i00003i−3i3i−3i000000000000000000000000000000
χ6144-4-444004-44-4-4-4040004-4-40000000000000000000000000000000000000004-4000000000000000000000000
χ6244-4-444004-44-4-4-4040004-4-4000000000000000000000000000000000000000-44000000000000000000000000
χ634-44-44400-44-44-4-404000-44-4000000000000000000000000000000000000000000000000000000000022−2200000
χ644-44-44400-44-44-4-404000-44-40000000000000000000000000000000000000000000000000000000000−222200000
χ654-4-4444-44-4-4-4-44404000-4-4400-4-400-4-4444400000000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-4224-20-200022-24i−4i4-200-2-2-422200000004i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ674-4-444-24-4-4-4224-20-200022-2−4i4i4-200-2-2-42220000000−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ684-4-444-2-44-4-4224-20-200022-200-4200224-2-2-200000000000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000
χ694-4-444-2-44-4-4224-20-200022-200-4200224-2-2-2000000000000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000
χ704-4-44-24-4422-4-4-240-20−2i32i322-2002-42i3−2i322-24-2-20−2i32i3002i3−2i30000000000000000000000000000000000000000000000
χ714-4-44-24-4422-4-4-240-202i3−2i322-2002-4−2i32i322-24-2-202i3−2i300−2i32i30000000000000000000000000000000000000000000000
χ724-4-44-2-24-42222-2-2010−2i32i3-1-114i−4i-2-2−2i32i31122-1-10i3−i300i3−i3−2i2i−2i2iii−i−i23−2300−3−333000000000000000000000000000000
χ734-4-44-2-24-42222-2-2010−2i32i3-1-11−4i4i-2-2−2i32i31122-1-10i3−i300i3−i32i−2i2i−2i−i−iii−23230033−3−3000000000000000000000000000000
χ744-4-44-2-24-42222-2-20102i3−2i3-1-114i−4i-2-22i3−2i31122-1-10−i3i300−i3i3−2i2i−2i2iii−i−i−23230033−3−3000000000000000000000000000000
χ754-4-44-2-24-42222-2-20102i3−2i3-1-11−4i4i-2-22i3−2i31122-1-10−i3i300−i3i32i−2i2i−2i−i−iii23−2300−3−333000000000000000000000000000000
χ764-4-44-2-2-442222-2-2010−2i32i3-1-1100222i3−2i3-1-1-2-2110i3−i300−i3i300003-3-33002i3−2i3−i3i3i3−i3000000000000000000000000000000
χ774-4-44-2-2-442222-2-2010−2i32i3-1-1100222i3−2i3-1-1-2-2110i3−i300−i3i30000-333-300−2i32i3i3−i3−i3i3000000000000000000000000000000
χ784-4-44-2-2-442222-2-20102i3−2i3-1-110022−2i32i3-1-1-2-2110−i3i300i3−i300003-3-3300−2i32i3i3−i3−i3i3000000000000000000000000000000
χ794-4-44-2-2-442222-2-20102i3−2i3-1-110022−2i32i3-1-1-2-2110−i3i300i3−i30000-333-3002i3−2i3−i3i3i3−i3000000000000000000000000000000
χ8088-8-88-4008-8-44-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-448-84-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444020002-2-20000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-4444020002-2-2000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ848-88-88-400-884-4-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-48004-4-884-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-44-44402000-22-20000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-44402000-22-2000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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