Finite Group Databasebeta

← Group #11895684

Character table — Group #11895684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424244444888824661212242424242424444488121212121212242424246661212121244244121212242444488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-11-1-1-1-11111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-111
χ51111111111111111111111111111-1-111-1-1-1-11111111111111-11111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-111-1-111-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-1-1-1111-1-1111-1-11-1-1-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1111111-1111-1-1-1-1111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-1-111-111111-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-1-111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-11-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-11-1111-1-1-11111-11-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11-111-1-1-1-1-1-1-1111-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-111-1-1-1111-1-1-1-1-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111111-1-1-11111111-1-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-20000-2-222220000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-20000-2-222-2-200000000000-2-200020000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-22000022-2-22200000000000-2-2000-20000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-200000022000022-2-2-2-2000000000002200020000-200000000
χ2122222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1220022222222-1-122-1-1-1-1020000-1-1-1-100-1-1-1-1-1-1-12-1-1-1002200000000000-1-100
χ2222222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-122002222-2-2-2-2-1-122-1-1-1-1020000-1-1-1-100-1-1-1-1111-211100-2-2000000000001100
χ2322222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-10-200001111001111-1-1-12-1-1-100-2-2000000000001100
χ2422222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-10-200001111001111111-2111002200000000000-1-100
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-1211112200-2-2-2-22-222-1-1-2-21111020000-1-1-1-1001111-1-1-1-2111002-200000000000-1100
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-1211112200-2-2-2-2-22-2-2-1-1-2-21111020000-1-1-1-10011111112-1-1-100-22000000000001-100
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-121111-2-20022222-222-1-1-2-211110-20000111100-1-1-1-1-1-1-1-211100-22000000000001-100
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-121111-2-2002222-22-2-2-1-1-2-211110-20000111100-1-1-1-11112-1-1-1002-200000000000-1100
χ292222-1222-122-12-1-1-1-1-122-122-122220022000022-1-1-1-1-1-1-1-1-1-12022220000-1-100002-1-1-12-1-100002-1-1-1-1-10000000-10
χ302222-1222-122-12-1-1-1-1-122-122-1222200220000-2-211-1-1-1-1-1-1-1-120-2-2220000-1-10000-2111-2110000-2-111-1-1000000010
χ312222-1222-122-12-1-1-1-1-122-122-1222200-2-2000022-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200001100002-1-1-12-1-10000-211111000000010
χ322222-1222-122-12-1-1-1-1-122-122-1222200-2-20000-2-211-1-1-1-1-1-1-1-1-2022-2-20000110000-2111-211000021-1-1110000000-10
χ332222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2002200002-2-1-1-1-11111112022-2-20000-1-100002-1-11-2110000-2-1-1-111000000010
χ342222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-200220000-2211-1-111111120-2-2-2-20000-1-10000-211-12-1-100002-111110000000-10
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-200-2-200002-2-1-1-1-1111111-20-2-22200001100002-1-11-21100002111-1-10000000-10
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-2211-1-1111111-2022220000110000-211-12-1-10000-21-1-1-1-1000000010
χ3722-2-22200-2-2-222-22-2-222−2000022−2−22-22i−2i22−2−20000002−222−2−20000−i2i2002-22i−2i22−2−200000002i−2i000000−i2i2000−i2i20000
χ3822-2-22200-2-2-222-22-2-222−2000022−2−22-2−2i2i22−2−20000002−222−2−20000i2−i2002-2−2i2i22−2−20000000−2i2i000000i2−i2000i2−i20000
χ3922-2-22200-2-2-222-22-2-222−2000022−2−2-222i−2i−2−2220000002−222−2−20000−i2i200-222i−2i−2−2220000000−2i2i000000−i2i2000i2−i20000
χ4022-2-22200-2-2-222-22-2-222−2000022−2−2-22−2i2i−2−2220000002−222−2−20000i2−i200-22−2i2i−2−22200000002i−2i000000i2−i2000−i2i20000
χ4122-2-22200-2-2-222-22-2-22−220000−2−2222-22i−2i−2−222000000−22−2−2220000i2−i2002-22i−2i−2−22200000002i−2i000000i2−i2000i2−i20000
χ4222-2-22200-2-2-222-22-2-22−220000−2−2222-2−2i2i−2−222000000−22−2−2220000−i2i2002-2−2i2i−2−2220000000−2i2i000000−i2i2000−i2i20000
χ4322-2-22200-2-2-222-22-2-22−220000−2−222-222i−2i22−2−2000000−22−2−2220000i2−i200-222i−2i22−2−20000000−2i2i000000i2−i2000−i2i20000
χ4422-2-22200-2-2-222-22-2-22−220000−2−222-22−2i2i22−2−2000000−22−2−2220000−i2i200-22−2i2i22−2−200000002i−2i000000−i2i2000i2−i20000
χ452-2-2222-2222-2-2-2-22-22-200-22-22000000002i−2i2i−2i0000-22000000002i−2i000000002i−2i2i−2i00000000000002i−2i0002-2000000
χ462-2-2222-2222-2-2-2-22-22-200-22-22000000002i−2i2i−2i0000-2200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i000-22000000
χ472-2-2222-2222-2-2-2-22-22-200-22-2200000000−2i2i−2i2i0000-22000000002i−2i00000000−2i2i−2i2i00000000000002i−2i000-22000000
χ482-2-2222-2222-2-2-2-22-22-200-22-2200000000−2i2i−2i2i0000-2200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i0002-2000000
χ4944444-2-4-44-2-24-24-2-2-2-200-422-40000440000000000220000000-4000022-2-200000000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-422-40000-4-4000000000022000000040000-2-22200000000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-4-42000000440000000022000000-4000000000-2-2000000000000000020000000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-4-42000000-4-400000000220000004000000000220000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-211-2-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-2111100000000000000002-1-122-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-21122-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-1-1-2-2110000000000000000000
χ5744-4-44-200-4224-2-4-222-222−220000−2−2224-4002222−22−2200000022−22−2−22200000000-2200−2−22200000000000000000000000000
χ5844-4-44-200-4224-2-4-222-222−220000−2−222-4400−22−22222200000022−22−2−222000000002-20022−2−200000000000000000000000000
χ5944-4-44-200-4224-2-4-222-2−2222000022−2−24-400−22−222222000000−222222−2−200000000-220022−2−200000000000000000000000000
χ6044-4-44-200-4224-2-4-222-2−2222000022−2−2-44002222−22−22000000−222222−2−2000000002-200−2−22200000000000000000000000000
χ6144-4-4-24002-4-4-242-222-222−2200002222−22−22004i−4i0000000000−22−2−2220000−2i22i20000−2i2i0000000000000000000i2−i2000000000
χ6244-4-4-24002-4-4-242-222-222−2200002222−22−2200−4i4i0000000000−22−2−22200002i2−2i200002i−2i0000000000000000000−i2i2000000000
χ6344-4-4-24002-4-4-242-222-2−22220000−22−222222004i−4i00000000002−222−2−200002i2−2i20000−2i2i0000000000000000000−i2i2000000000
χ6444-4-4-24002-4-4-242-222-2−22220000−22−22222200−4i4i00000000002−222−2−20000−2i22i200002i−2i0000000000000000000i2−i2000000000
χ654-44-44400-4-44-4-4444-4-400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ664-44-44400-4-44-4-4444-4-4000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ674-44-44-200-42-2-424-2-2220000006−66−60000−2i22i22i2−2i2000000006−66−6000000−2i32i30000i2−i2−i2i200000000000000000000000000
χ684-44-44-200-42-2-424-2-2220000006−66−600002i2−2i2−2i22i2000000006−66−60000002i3−2i30000−i2i2i2−i200000000000000000000000000
χ694-44-44-200-42-2-424-2-222000000−66−660000−2i22i22i2−2i200000000−66−660000002i3−2i30000i2−i2−i2i200000000000000000000000000
χ704-44-44-200-42-2-424-2-222000000−66−6600002i2−2i2−2i22i200000000−66−66000000−2i32i30000−i2i2i2−i200000000000000000000000000
χ714-4-44444-444-4-4-4-44-44-4004-44-400000000000000004-4000000000000000000000000000000000000000000000000
χ724-4-444-24-44-22-42-4-22-220042-2-423−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ734-4-444-24-44-22-42-4-22-220042-2-4−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ744-4-444-2-444-22-42-4-22-2200-4-224000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ754-4-444-2-444-22-42-4-22-2200-4-22400000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ764-4-44-244-4-24-42-42-22-2200-2-44200000000000000−2i32i3-2200000000000000000000000−2i32i300000000000000000000000
χ774-4-44-244-4-24-42-42-22-2200-2-442000000000000002i3−2i3-22000000000000000000000002i3−2i300000000000000000000000
χ784-4-44-24-44-24-42-42-22-220024-4-200000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ794-4-44-24-44-24-42-42-22-220024-4-200000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ804-4-44-2-24-4-2-222221-11-100-22-2223−23−23230000000000−2i32i31-100−333−300000000000000000i3−i3003i−3i0000000000000000000
χ814-4-44-2-24-4-2-222221-11-100-22-2223−23−232300000000002i3−2i31-100−333−300000000000000000−i3i300−3i3i0000000000000000000
χ824-4-44-2-24-4-2-222221-11-100-22-22−232323−230000000000−2i32i31-1003−3−3300000000000000000i3−i300−3i3i0000000000000000000
χ834-4-44-2-24-4-2-222221-11-100-22-22−232323−2300000000002i3−2i31-1003−3−3300000000000000000−i3i3003i−3i0000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400444-4-442-2-2242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ8688-8-8-4-400444-4-442-2-22−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ878-88-8-48004-884-8-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-444-422-2-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000000
χ898-88-8-4-40044-444-422-2-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000000
χ908-8-88-4-4-88-4-444442-22-2004-44-40000000000000000-22000000000000000000000000000000000000000000000000

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