Finite Group Databasebeta

← Group #11884498

Character table — Group #11884498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order122233446666663666881212121224242424442412121212242424242424222446688121212122424242466661212122246681224242444661248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-11111111-11-1111111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-11-111-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-1-1-1-1-1111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-11111-111-1-1
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-11-1-111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-11-111-111-111-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-11-1-1111-11111111-1-1-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-111-1-1-1-11-1-1-1-1-1-111-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1111-1-1111-11-1-1-111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111-1-11-1111-1-11-1111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-20022-2-200000000000000000200-200200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-200222200000000000000000-200200-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-22200-2-2-2-200000000000000000200200-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-222200-2-22200000000000000000-200-200200000
χ2122222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-102222000000-1-100002-1-1-12-1-1020-1-12-1-1-100000-1000
χ2222222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20000001100002-1-1-12-1-10-2011-2111000001000
χ2322222-1222-1-12-12-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-1022-2-2000000110000-2111-211020-1-1-211100000-1000
χ2422222-1222-1-12-12-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-10-2-222000000-1-10000-2111-2110-20112-1-1-1000001000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-211-1-1111111022-2-20000001100002-1-1-1-2110-20-1-121-1-1000001000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-211-1-11111110-2-222000000-1-100002-1-1-1-21102011-2-11100000-1000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-22-1-1-1-111111102222000000-1-10000-21112-1-10-20-1-1-2-111000001000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-22-1-1-1-11111110-2-2-2-2000000110000-21112-1-10201121-1-100000-1000
χ292222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1222222-1-122-1-1-1-120000-1-122-1-100-1-1-1-1-12-1-1-1-1-12020000000000-10-100
χ302222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-122-1-100-1-1-1-11-211111-20-2000000000010100
χ312222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-22222-1-122-1-1-1-1-2000011-2-211001111-12-1-1-1-1-1-20-2000000000010100
χ322222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-2000011-2-2110011111-2111112020000000000-10-100
χ332222-1222-122-12-1-1-1-1-1-2-22-12-11111222-2-2-2-1-1-2-2111120000-1-1-2-2-1-1001111-12-1-1111-202000000000010-100
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1111122-2222-1-1-2-2111120000-1-1-2-2-1-10011111-211-1-1-120-20000000000-10100
χ352222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-22-2-2-2-1-1-2-21111-2000011221100-1-1-1-1-12-1-111120-20000000000-10100
χ362222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-2-2222-1-1-2-21111-2000011221100-1-1-1-11-211-1-1-1-202000000000010-100
χ372-2-22222-2-22-22-2-22-22-200-2-2220000000000-2200000002-200002-2000022-2-200000000002-2000002-2000000
χ382-2-22222-2-22-22-2-22-22-200-2-2220000000000-2200000002-20000-220000-2-22200000000002-200000-22000000
χ392-2-22222-2-22-22-2-22-22-200-2-2220000000000-220000000-2200002-2000022-2-20000000000-2200000-22000000
χ402-2-22222-2-22-22-2-22-22-200-2-2220000000000-220000000-220000-220000-2-2220000000000-22000002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-2002-42-40000000000220000000004-40000002200000000000000000-200000000000
χ4244444-2-4-44-2-24-24-2-2-2-2002-42-4000000000022000000000-44000000-2-200000000000000000200000000000
χ434444-24-4-4-244-24-2-2-2-2-200-42-42000044000022000000-400002200-2-20000000000000000000000000000000
χ444444-24-4-4-244-24-2-2-2-2-200-42-420000-4-400002200000040000-2-200220000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-211-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-211110000000000000000022-1-12-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-2112-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-1-1-211000000000000000000
χ4944-4-444004-44-4-4-444-4-400000000004i−4i0000000000000000000004i−4i0000000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-40000000000−4i4i000000000000000000000−4i4i0000000000000000000000000000000
χ5144-4-4-2400-2-442-42-2-22200000066−6−64i−4i0000000066−6−6000000000−2i2i00i6−i6i6−i60000000000000000000000000
χ5244-4-4-2400-2-442-42-2-22200000066−6−6−4i4i0000000066−6−60000000002i−2i00−i6i6−i6i60000000000000000000000000
χ5344-4-4-2400-2-442-42-2-222000000−6−6664i−4i00000000−6−666000000000−2i2i00−i6i6−i6i60000000000000000000000000
χ5444-4-4-2400-2-442-42-2-222000000−6−666−4i4i00000000−6−6660000000002i−2i00i6−i6i6−i60000000000000000000000000
χ554-44-44400-4-4-4-4444-4-4422−22000022−2222−220000000022−2222−2222−22000000000000000000000000000000000000000000
χ564-44-44400-4-4-4-4444-4-44−22220000−2222−222200000000−2222−2222−2222000000000000000000000000000000000000000000
χ574-44-44-200-422-4-24-222-222−22000022−2222−2200000000−22−22−2200000000000−2i32i3000000000000000000i6−i6000000000
χ584-44-44-200-422-4-24-222-222−22000022−2222−2200000000−22−22−22000000000002i3−2i3000000000000000000−i6i6000000000
χ594-44-44-200-422-4-24-222-2−22220000−2222−2222000000002−22−22−200000000000−2i32i3000000000000000000−i6i6000000000
χ604-44-44-200-422-4-24-222-2−22220000−2222−2222000000002−22−22−2000000000002i3−2i3000000000000000000i6−i6000000000
χ614-44-4-24002-4-424-2-222-222−220000−22−220000000022−22−22−2200000−2i32i3000000i6−i6−i6i60000000000000000000000000
χ624-44-4-24002-4-424-2-222-222−220000−22−220000000022−22−22−22000002i3−2i3000000−i6i6i6−i60000000000000000000000000
χ634-44-4-24002-4-424-2-222-2−222200002−22−200000000−22222−22−200000−2i32i3000000−i6i6i6−i60000000000000000000000000
χ644-44-4-24002-4-424-2-222-2−222200002−22−200000000−22222−22−2000002i3−2i3000000i6−i6−i6i60000000000000000000000000
χ654-4-4444-44-44-44-4-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-2242-4-22-22002-4-2400000000002-200000004-4000000000000000000000000-220000000000000
χ674-4-444-24-4-4-2242-4-22-22002-4-2400000000002-20000000-440000000000000000000000002-20000000000000
χ684-4-444-2-44-4-2242-4-22-2200-242-40000000023−23-22000000000000000000000000000023−23000000000000000000
χ694-4-444-2-44-4-2242-4-22-2200-242-400000000−2323-220000000000000000000000000000−2323000000000000000000
χ704-4-44-244-424-4-2-42-22-2200-424-200000000002-200000000000004-40000-2-2220000000000000000000000000
χ714-4-44-244-424-4-2-42-22-2200-424-200000000002-20000000000000-44000022-2-20000000000000000000000000
χ724-4-44-24-4424-4-2-42-22-22004-2-4223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ734-4-44-24-4424-4-2-42-22-22004-2-42−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ744-4-44-2-2-442-22-2221-11-100-2-22223−23−2323000023−231-100−333−300000000000000000003-30−33000000000000000000
χ754-4-44-2-2-442-22-2221-11-100-2-22223−23−23230000−23231-100−333−30000000000000000000-3303−3000000000000000000
χ764-4-44-2-2-442-22-2221-11-100-2-222−232323−23000023−231-1003−3−330000000000000000000-330−33000000000000000000
χ774-4-44-2-2-442-22-2221-11-100-2-222−232323−230000−23231-1003−3−3300000000000000000003-303−3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-88-40084-4-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-444422-2-20000002626−26−260000000000−6−666000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-444422-2-2000000−26−262626000000000066−6−6000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-42-2-2242−420000−2222−222200000000−22222−22−2000000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-42-2-22−4242000022−2222−220000000022−22−22−22000000000000000000000000000000000000000000
χ848-8-88-4-48-84-44-4442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000

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