Finite Group Databasebeta

← Group #11889224

Character table — Group #11889224

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order1222334466666623466666881212121212121212121266681212122424242424242424242424242424242422444424444466661212121224488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-11111-1-1-1-1111-1-11-11-1-1
χ61111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-111111-1-1-1-1-1-1-111-11-111
χ71111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-1-1-11111111-1-1-11-11-1
χ81111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1-1-1-1-11111-1-1-1111-11-11
χ911111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111-1-11-1-111-111-1-1
χ1011111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-111-1-11-1-111
χ1111111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1111-1-1111-1-11-1
χ1211111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-111-111-1-1-111-11
χ1311111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1-11111-1-1-1-1111-1-1-1-1-1-1111
χ1411111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-111-1-1-1-111-1111111-1-1-1
χ1511111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-111-1-1-1-11111-1-11-1-1-1-111-1-11
χ1611111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-1-111-1-11111-1-1-11111-1-111-1
χ17222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-2000000000000000000002200000000000000-22-20000000
χ18222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-200000000000000000000-2-2000000000000002-220000000
χ19222222-2-2222222-222-2-222200-222-2-2-2-2-2-2-2-2-2-20222000000000000000000002200000000000000-2-220000000
χ20222222-2-2222222-222-2-222200-222-2-2-2-2-2-2-2-2-2-2022200000000000000000000-2-20000000000000022-20000000
χ2122222-122-122-1-122-12-1-1-1-1-122-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-10000000000
χ2222222-122-122-1-122-12-1-1-1-1-122-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-20000111111110000000000
χ2322222-122-122-1-122-12-1-1-1-1-1-2-2-1-1-12-1-1-12-1-12-1-1-22-1-1-2-2111111-2-211111122-2-2002-20000-1-1-1-111110000000000
χ2422222-122-122-1-122-12-1-1-1-1-1-2-2-1-1-12-1-1-12-1-12-1-1-22-1-1-2-2111111-2-2111111-2-22200-2200001111-1-1-1-10000000000
χ2522222-122-122-1-12-2-1-211-1-1-122-1112-1-1-12-1-1-211-2-21122-1-1-1-1-1-1-2-2111111222200-2-20000-1-111-1-1110000000000
χ2622222-122-122-1-12-2-1-211-1-1-122-1112-1-1-12-1-1-211-2-21122-1-1-1-1-1-1-2-2111111-2-2-2-20022000011-1-111-1-10000000000
χ2722222-122-122-1-12-2-1-211-1-1-1-2-2-1112-1-1-12-1-1-2112-211-2-211111122-1-1-1-1-1-122-2-200-220000-1-11111-1-10000000000
χ2822222-122-122-1-12-2-1-211-1-1-1-2-2-1112-1-1-12-1-1-2112-211-2-211111122-1-1-1-1-1-1-2-222002-2000011-1-1-1-1110000000000
χ292222-12222-1-122-12-1222-1-1-122222-1-1-12-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000000000000-1-1-1-10
χ302222-12222-1-122-12-1222-1-1-122222-1-1-12-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000000000011110
χ312222-12222-1-122-12-1222-1-1-1-2-2222-1-1-12-1-1-1-1-1-1-2-1-1-111-2-2111111-2-21111000000002-22-20000000000000-11-110
χ322222-12222-1-122-12-1222-1-1-1-2-2222-1-1-12-1-1-1-1-1-1-2-1-1-111-2-2111111-2-2111100000000-22-2200000000000001-11-10
χ332222-12222-1-122-1-2-1-2-2-2-1-1-1222-2-2-1-1-12-1-1-1111-2111-1-122-1-1-1-111-2-21111000000002-2-220000000000000-111-10
χ342222-12222-1-122-1-2-1-2-2-2-1-1-1222-2-2-1-1-12-1-1-1111-2111-1-122-1-1-1-111-2-2111100000000-222-200000000000001-1-110
χ352222-12222-1-122-1-2-1-2-2-2-1-1-1-2-22-2-2-1-1-12-1-1-1111211111-2-21111-1-122-1-1-1-10000000022-2-20000000000000-1-1110
χ362222-12222-1-122-1-2-1-2-2-2-1-1-1-2-22-2-2-1-1-12-1-1-1111211111-2-21111-1-122-1-1-1-100000000-2-222000000000000011-1-10
χ372-2-22222-22-2-2-2-2202000-2-222i−2i200222-2-2-2-200000002i−2i2i−2i2i2i−2i−2i000000002-22i−2i000000002-2002i−2i000000000000
χ382-2-22222-22-2-2-2-2202000-2-222i−2i200222-2-2-2-200000002i−2i2i−2i2i2i−2i−2i00000000-22−2i2i00000000-2200−2i2i000000000000
χ392-2-22222-22-2-2-2-2202000-2-22−2i2i200222-2-2-2-20000000−2i2i−2i2i−2i−2i2i2i000000002-2−2i2i000000002-200−2i2i000000000000
χ402-2-22222-22-2-2-2-2202000-2-22−2i2i200222-2-2-2-20000000−2i2i−2i2i−2i−2i2i2i00000000-222i−2i00000000-22002i−2i000000000000
χ412-2-222-12-2-1-2-21120-10−i3i311-12i−2i-1−i3i32-1-11-2110−i3i300−i3i32i−2i−ii−i−iii003−333−3−32-22i−2i00000000-11−i3i3−ii3−30000000000
χ422-2-222-12-2-1-2-21120-10−i3i311-12i−2i-1−i3i32-1-11-2110−i3i300−i3i32i−2i−ii−i−iii003−333−3−3-22−2i2i000000001-1i3−i3i−i−330000000000
χ432-2-222-12-2-1-2-21120-10−i3i311-1−2i2i-1−i3i32-1-11-2110−i3i300−i3i3−2i2ii−iii−i−i00−33−3−3332-2−2i2i00000000-11−i3i3i−i−330000000000
χ442-2-222-12-2-1-2-21120-10−i3i311-1−2i2i-1−i3i32-1-11-2110−i3i300−i3i3−2i2ii−iii−i−i00−33−3−333-222i−2i000000001-1i3−i3−ii3−30000000000
χ452-2-222-12-2-1-2-21120-10i3−i311-12i−2i-1i3−i32-1-11-2110i3−i300i3−i32i−2i−ii−i−iii00−33−3−3332-22i−2i00000000-11i3−i3−ii−330000000000
χ462-2-222-12-2-1-2-21120-10i3−i311-12i−2i-1i3−i32-1-11-2110i3−i300i3−i32i−2i−ii−i−iii00−33−3−333-22−2i2i000000001-1−i3i3i−i3−30000000000
χ472-2-222-12-2-1-2-21120-10i3−i311-1−2i2i-1i3−i32-1-11-2110i3−i300i3−i3−2i2ii−iii−i−i003−333−3−32-2−2i2i00000000-11i3−i3i−i3−30000000000
χ482-2-222-12-2-1-2-21120-10i3−i311-1−2i2i-1i3−i32-1-11-2110i3−i300i3−i3−2i2ii−iii−i−i003−333−3−3-222i−2i000000001-1−i3i3−ii−330000000000
χ4944444-2-4-4-244-2-244-2-4-2-2-2-2-200222-4222-4224-2-20-4220000000000000000000000000000000000000000000000
χ5044444-2-4-4-244-2-24-4-2422-2-2-2002-2-2-4222-422-42204-2-20000000000000000000000000000000000000000000000
χ514444-24-4-44-2-244-24-2-444-2-2-200-4-4-4222-4222-2-2-202220000000000000000000000000000000000000000000000
χ524444-24-4-44-2-244-2-4-24-4-4-2-2-200-444222-42222220-2-2-20000000000000000000000000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-2-41-42211144-222-211-2-2112-1-1-42-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-422111-4-4-222-211-2-2112-1-142-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
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
χ594444-2-2-4-4-2-2-2-2-2-2-41422111002-2-22-1-122-1-12-1-10-21100003i−3i3i−3i0000−3i3i−3i3i000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-41422111002-2-22-1-122-1-12-1-10-2110000−3i3i−3i3i00003i−3i3i−3i000000000000000000000000000000
χ6144-4-44400-44-44-4-4040004-4-40000000000000000000000000000000000000000000000000000000000−2i22i200000
χ6244-4-44400-44-44-4-4040004-4-400000000000000000000000000000000000000000000000000000000002i2−2i200000
χ634-44-44400-4-44-44-404000-44-40000000000000000000000000000000000000004i−4i000000000000000000000000
χ644-44-44400-4-44-44-404000-44-4000000000000000000000000000000000000000−4i4i000000000000000000000000
χ654-4-4444-444-4-4-4-4404000-4-4400-400-4-4-4444400000000000000000000000000000000000000000000000000000
χ664-4-444-2-44-2-4-42240-20−2i32i322-20022i3−2i3-422-24-2-20−2i32i3002i3−2i30000000000000000000000000000000000000000000000
χ674-4-444-2-44-2-4-42240-202i3−2i322-2002−2i32i3-422-24-2-202i3−2i300−2i32i30000000000000000000000000000000000000000000000
χ684-4-44-244-4422-4-4-20-200022-24i−4i400-2-2-2-42220000000−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000
χ694-4-44-244-4422-4-4-20-200022-2−4i4i400-2-2-2-422200000002i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000
χ704-4-44-24-44422-4-4-20-200022-200-4002224-2-2-2000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000000
χ714-4-44-24-44422-4-4-20-200022-200-4002224-2-2-20000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000
χ724-4-44-2-24-4-22222-2010−2i32i3-1-114i−4i-2−2i32i3-21122-1-10i3−i300i3−i3−2i2i−2i2iii−i−i0023−23−3−333000000000000000000000000000000
χ734-4-44-2-24-4-22222-2010−2i32i3-1-11−4i4i-2−2i32i3-21122-1-10i3−i300i3−i32i−2i2i−2i−i−iii00−232333−3−3000000000000000000000000000000
χ744-4-44-2-24-4-22222-20102i3−2i3-1-114i−4i-22i3−2i3-21122-1-10−i3i300−i3i3−2i2i−2i2iii−i−i00−232333−3−3000000000000000000000000000000
χ754-4-44-2-24-4-22222-20102i3−2i3-1-11−4i4i-22i3−2i3-21122-1-10−i3i300−i3i32i−2i2i−2i−i−iii0023−23−3−333000000000000000000000000000000
χ764-4-44-2-2-44-22222-2010−2i32i3-1-110022i3−2i32-1-1-2-2110i3−i300−i3i300003-3-332i3−2i300−i3i3i3−i3000000000000000000000000000000
χ774-4-44-2-2-44-22222-2010−2i32i3-1-110022i3−2i32-1-1-2-2110i3−i300−i3i30000-333-3−2i32i300i3−i3−i3i3000000000000000000000000000000
χ784-4-44-2-2-44-22222-20102i3−2i3-1-11002−2i32i32-1-1-2-2110−i3i300i3−i300003-3-33−2i32i300i3−i3−i3i3000000000000000000000000000000
χ794-4-44-2-2-44-22222-20102i3−2i3-1-11002−2i32i32-1-1-2-2110−i3i300i3−i30000-333-32i3−2i300−i3i3i3−i3000000000000000000000000000000
χ8088-8-88-40048-8-44-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-8-448-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-444020002-2-20000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-444020002-2-2000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ848-88-88-4004-884-4-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4800-84-4-8840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-4402000-22-20000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-40044-44-4402000-22-2000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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