Finite Group Databasebeta

← Group #11884497

Character table — Group #11884497

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424244424661212242424242424224446688121212122424242466612121212244681212242422446121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-11-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1111-1-1-1-1-11-11-111-1-1-1-111-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-111-11-1-11111-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-111111-111-1-1-1-1-111111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-1-111111-1-1-1-11-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-111-1-1111111111-1-1-1-11-1-11-111-1-111-1-11-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11-11-11-1-111-1-1111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-11111-1111-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-11-1-1111111111-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-200-2-20022-2-20000000000000020000000-2200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-2200-2-200222200000000000000-200000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-2002200-2-2-2-200000000000000200000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-22002200-2-22200000000000000-20000000-2200000
χ2122222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-120000-1-122-1-100-1-1-1-1-1-1-12-1-1-12200000000000-1-1000
χ2222222-1222-12-1-12-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-122-1-100-1-1-1-1111-2111-2-20000000000011000
χ2322222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-1-2000011-2-211001111-1-1-12-1-1-1-2-20000000000011000
χ2422222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-2000011-2-211001111111-21112200000000000-1-1000
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-11111222-222-1-1-2-2111120000-1-1-2-2-1-1001111-1-1-1-2111-22000000000001-1000
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111120000-1-1-2-2-1-10011111112-1-1-12-200000000000-11000
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-21111-2000011221100-1-1-1-1-1-1-1-21112-200000000000-11000
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-21111-2000011221100-1-1-1-11112-1-1-1-22000000000001-1000
χ292222-1222-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-102222000000-1-100002-1-1-12-1-1002-12-1-1-1-1000000-100
χ302222-1222-12-122-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20000001100002-1-1-12-1-100-21-21111000000100
χ312222-1222-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1022-2-2000000-1-10000-2111-21100-2-1211-1-1000000100
χ322222-1222-12-122-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-10-2-222000000110000-2111-2110021-2-1-111000000-100
χ332222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-111111102222000000-1-100002-1-11-21100-2-1-2-1-111000000100
χ342222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111110-2-2-2-20000001100002-1-11-2110021211-1-1000000-100
χ352222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111022-2-2000000-1-10000-211-12-1-1002-1-21111000000-100
χ362222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-11111110-2-222000000110000-211-12-1-100-212-1-1-1-1000000100
χ372-2-2222-22-2-2-22-222-22-200-22-220000000000-220000000002-2002-2000022-2-20000000000002-2002-20000000
χ382-2-2222-22-2-2-22-222-22-200-22-220000000000-220000000002-200-220000-2-2220000000000002-200-220000000
χ392-2-2222-22-2-2-22-222-22-200-22-220000000000-22000000000-22002-2000022-2-2000000000000-2200-220000000
χ402-2-2222-22-2-2-22-222-22-200-22-220000000000-22000000000-2200-220000-2-222000000000000-22002-20000000
χ4144444-2-4-44-24-2-24-2-2-2-2002-4-42000044000022000000-400002200-2-20000000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-2-2-2002-4-420000-4-400002200000040000-2-200220000000000000000000000000000000
χ434444-24-4-4-24-244-2-2-2-2-200-422-400000000002200000004-4000000002200000000000000-200000000000000
χ444444-24-4-4-24-244-2-2-2-2-200-422-40000000000220000000-4400000000-2-200000000000000200000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-4440044-4-4-4-444-4-400000000004i−4i0000000000000000000004i−4i0000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000000000−4i4i000000000000000000000−4i4i0000000000000000000000000000000
χ5144-4-44-2004-2-422-4-2-22200000066−6−64i−4i0000000066−6−6000000000−2i2i00i6−i6i6−i60000000000000000000000000
χ5244-4-44-2004-2-422-4-2-22200000066−6−6−4i4i0000000066−6−60000000002i−2i00−i6i6−i6i60000000000000000000000000
χ5344-4-44-2004-2-422-4-2-222000000−6−6664i−4i00000000−6−666000000000−2i2i00−i6i6−i6i60000000000000000000000000
χ5444-4-44-2004-2-422-4-2-222000000−6−666−4i4i00000000−6−6660000000002i−2i00i6−i6i6−i60000000000000000000000000
χ554-44-44400-4-44-44-44-4-4422−22000022−2222−220000000022−2222−2222−22000000000000000000000000000000000000000000
χ564-44-44400-4-44-44-44-4-44−22220000−2222−222200000000−2222−2222−2222000000000000000000000000000000000000000000
χ574-44-44-200-4242-2-4-222-222−220000−22−220000000022−22−22−2200000−2i32i3000000i6−i6−i6i60000000000000000000000000
χ584-44-44-200-4242-2-4-222-222−220000−22−220000000022−22−22−22000002i3−2i3000000−i6i6i6−i60000000000000000000000000
χ594-44-44-200-4242-2-4-222-2−222200002−22−200000000−22222−22−200000−2i32i3000000−i6i6i6−i60000000000000000000000000
χ604-44-44-200-4242-2-4-222-2−222200002−22−200000000−22222−22−2000002i3−2i3000000i6−i6−i6i60000000000000000000000000
χ614-44-4-24002-4-2-442-222-222−22000022−2222−2200000000−22−22−220000000000023−230000000000000000006−6000000000
χ624-44-4-24002-4-2-442-222-222−22000022−2222−2200000000−22−22−2200000000000−2323000000000000000000−66000000000
χ634-44-4-24002-4-2-442-222-2−22220000−2222−2222000000002−22−22−20000000000023−23000000000000000000−66000000000
χ644-44-4-24002-4-2-442-222-2−22220000−2222−2222000000002−22−22−200000000000−23230000000000000000006−6000000000
χ654-4-44444-4-4-4-44-444-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-42-4-224-22-2200-2-44223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ674-4-444-24-4-42-4-224-22-2200-2-442−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ684-4-444-2-44-42-4-224-22-220024-4-200000000002-200000000000004-40000-2-2220000000000000000000000000
χ694-4-444-2-44-42-4-224-22-220024-4-200000000002-20000000000000-44000022-2-20000000000000000000000000
χ704-4-44-244-42-424-4-2-22-220042-2-400000000−2i32i3-22000000000000000000000000−2i32i30000000000000000000000
χ714-4-44-244-42-424-4-2-22-220042-2-4000000002i3−2i3-220000000000000000000000002i3−2i30000000000000000000000
χ724-4-44-24-442-424-4-2-22-2200-4-22400000000002-20000000004-4000000000000000000000000-2200000000000
χ734-4-44-24-442-424-4-2-22-2200-4-22400000000002-2000000000-440000000000000000000000002-200000000000
χ744-4-44-2-24-4222-22-21-11-100-22-2223−23−23230000−2i32i31-100−333−3000000000000000000i3−i3003i−3i000000000000000000
χ754-4-44-2-24-4222-22-21-11-100-22-2223−23−232300002i3−2i31-100−333−3000000000000000000−i3i300−3i3i000000000000000000
χ764-4-44-2-24-4222-22-21-11-100-22-22−232323−230000−2i32i31-1003−3−33000000000000000000i3−i300−3i3i000000000000000000
χ774-4-44-2-24-4222-22-21-11-100-22-22−232323−2300002i3−2i31-1003−3−33000000000000000000−i3i3003i−3i000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4800-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-4444422-2-20000002626−26−260000000000−6−666000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-4444422-2-2000000−26−262626000000000066−6−6000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-442-2-2242−420000−2222−222200000000−22222−22−2000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-442-2-22−4242000022−2222−220000000022−22−22−22000000000000000000000000000000000000000000
χ848-8-88-4-4-88444-44-42-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000

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