Finite Group Databasebeta

← Group #11887549

Character table — Group #11887549

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888844121212122424242424244444668812121212242424241212121212121222244121212242444488612124
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
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1111
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1111111-1-1-1-1111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1-11-1-11
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
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-11111-11-1111-1-11-1-1-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1111-111-1-1-1-1111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-11-1-1-111-1-1-1-11111-1-1-11111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-1111-1-1-1-111-11-1-1-1-1-1-1-11111-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1111111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-11-1111-1-1-1-1-1-11-11111-1-1-111-1-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-111111-11-1-1-1111-1-1-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1111-1-111-11-1-11111111-1-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-2002200-2-2220000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-200220022-2-200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2200-2-200-2-22200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-20022-2-2000000000002200020000-200000000
χ2122222-122-1-1222-1-1-1-1-1222-12-122222200000022-1-1-1-1-1-1-1-1-1-10222-1-12200000000-122-1-1-1-100200-1-1-1-1-100000-1000
χ2222222-122-1-1222-1-1-1-1-1222-12-1222222000000-2-211-1-1-1-1-1-1-1-102-2-2-1-122000000001-2-2111100-200-111-1-1000001000
χ2322222-122-1-1222-1-1-1-1-1222-12-12222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-211-2-200000000-122-1-1-1-100-20011111000001000
χ2422222-122-1-1222-1-1-1-1-1222-12-12222-2-2000000-2-211-1-1-1-1-1-1-1-10-22211-2-2000000001-2-21111002001-1-11100000-1000
χ2522222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-1-1-1-11111110222-1-1-2-20000000012-211-1-100-200-1-1-111000001000
χ2622222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-222000000-2211-1-111111102-2-2-1-1-2-200000000-1-22-1-11100200-1111100000-1000
χ2722222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-211220000000012-211-1-100200111-1-100000-1000
χ2822222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2211-1-11111110-222112200000000-1-22-1-11100-2001-1-1-1-1000001000
χ292222-122222-1-1-12-1-1-1-122-12-12-1-1-1-1002222222222-1-122-1-1-1-120000000-1-1-1-1-1-1-1-12-1-1-1-1-1-10002200000000000-1-10
χ302222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-120000000-1-1-1-1-1-1-1-1-2111111000-2-200000000000110
χ312222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-20000000111111112-1-1-1-1-1-1000-2-200000000000110
χ322222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2000000011111111-21111110002200000000000-1-10
χ332222-122222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-22-222-1-1-2-2111120000000-1-1-1-11111-2-1111-1-10002-200000000000-110
χ342222-122222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-2-22-2-2-1-1-2-2111120000000-1-1-1-1111121-1-1-111000-22000000000001-10
χ352222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-222222-222-1-1-2-21111-200000001111-1-1-1-1-2-1111-1-1000-22000000000001-10
χ362222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-22222-22-2-2-1-1-2-21111-200000001111-1-1-1-121-1-1-1110002-200000000000-110
χ372-22-2222-2-2-2-22-222-2-220022-2-2000000002i2i−2i−2i0000-22000000002-2000000002i2i−2i−2i00000000000002-20002i−2i000000
χ382-22-2222-2-2-2-22-222-2-220022-2-2000000002i2i−2i−2i0000-2200000000-22000000002i2i−2i−2i0000000000000-22000−2i2i000000
χ392-22-2222-2-2-2-22-222-2-220022-2-200000000−2i−2i2i2i0000-22000000002-200000000−2i−2i2i2i00000000000002-2000−2i2i000000
χ402-22-2222-2-2-2-22-222-2-220022-2-200000000−2i−2i2i2i0000-2200000000-2200000000−2i−2i2i2i0000000000000-220002i−2i000000
χ412-2-222200-22-2-22-22-22-2−i2i20000−i2−i2i2i22-22-2−i2i2−i2i2000000−i2i2−i2−i2i2i200002-2−i2i2002-2−i2i2−i2i200000002-2000000−i2i2000−i2i20000
χ422-2-222200-22-2-22-22-22-2−i2i20000−i2−i2i2i22-2-22i2−i2i2−i2000000−i2i2−i2−i2i2i200002-2−i2i200-22i2−i2i2−i20000000-22000000−i2i2000i2−i20000
χ432-2-222200-22-2-22-22-22-2−i2i20000−i2−i2i2i2-222-2−i2i2−i2i2000000−i2i2−i2−i2i2i20000-22i2−i2002-2−i2i2−i2i20000000-22000000i2−i2000i2−i20000
χ442-2-222200-22-2-22-22-22-2−i2i20000−i2−i2i2i2-22-22i2−i2i2−i2000000−i2i2−i2−i2i2i20000-22i2−i200-22i2−i2i2−i200000002-2000000i2−i2000−i2i20000
χ452-2-222200-22-2-22-22-22-2i2−i20000i2i2−i2−i22-22-2i2−i2i2−i2000000i2−i2i2i2−i2−i200002-2i2−i2002-2i2−i2i2−i200000002-2000000i2−i2000i2−i20000
χ462-2-222200-22-2-22-22-22-2i2−i20000i2i2−i2−i22-2-22−i2i2−i2i2000000i2−i2i2i2−i2−i200002-2i2−i200-22−i2i2−i2i20000000-22000000i2−i2000−i2i20000
χ472-2-222200-22-2-22-22-22-2i2−i20000i2i2−i2−i2-222-2i2−i2i2−i2000000i2−i2i2i2−i2−i20000-22−i2i2002-2i2−i2i2−i20000000-22000000−i2i2000−i2i20000
χ482-2-222200-22-2-22-22-22-2i2−i20000i2i2−i2−i2-22-22−i2i2−i2i2000000i2−i2i2i2−i2−i20000-22−i2i200-22−i2i2−i2i200000002-2000000−i2i2000i2−i20000
χ4944444-2-4-4-2-2444-2-2-2-2-200-42-420000440000000000220000000-400-2-2000000000000000000000020000000000000
χ5044444-2-4-4-2-2444-2-2-2-2-200-42-420000-4-40000000000220000000400220000000000000000000000-20000000000000
χ514444-24-4-444-2-2-24-2-2-2-2002-42-4000000440000000022000000-4000000022-2-2000000000000000000000000000000
χ524444-24-4-444-2-2-24-2-2-2-2002-42-4000000-4-4000000002200000040000000-2-222000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-100000000000000002-22-1-1110000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-10000000000000000-22-211-1-10000000000000000000
χ5744-4-444004-44-4-4-444-4-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-444004-44-4-4-444-4-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-4-24004-4-222-4-2-222000000i6−i6i6−i6000022−22−222200000000i6−i6i6−i600000000−2i32i300−222−200000000000000000000000000
χ6044-4-4-24004-4-222-4-2-222000000i6−i6i6−i60000−222222−2200000000i6−i6i6−i6000000002i3−2i3002−2−2200000000000000000000000000
χ6144-4-4-24004-4-222-4-2-222000000−i6i6−i6i6000022−22−222200000000−i6i6−i6i6000000002i3−2i300−222−200000000000000000000000000
χ6244-4-4-24004-4-222-4-2-222000000−i6i6−i6i60000−222222−2200000000−i6i6−i6i600000000−2i32i3002−2−2200000000000000000000000000
χ634-44-444-44-4-4-44-444-4-4400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-422-44-4-2-222-2004-2-4200000000000000002-2000000004-40000000000000000000000000-2200000000000
χ654-44-44-24-422-44-4-2-222-2004-2-4200000000000000002-200000000-4400000000000000000000000002-200000000000
χ664-44-44-2-4422-44-4-2-222-200-424-200000000000000−2i32i3-22000000000000000000000000000−2i32i30000000000000000000
χ674-44-44-2-4422-44-4-2-222-200-424-2000000000000002i3−2i3-220000000000000000000000000002i3−2i30000000000000000000
χ684-44-4-244-4-4-42-224-222-200-242-4000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ694-44-4-244-4-4-42-224-222-200-242-400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ704-44-4-24-44-4-42-224-222-2002-4-2423−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ714-44-4-24-44-4-42-224-222-2002-4-24−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ724-44-4-2-2-44222-22-21-1-110022-2-223−23−23230000000000−2i32i31-100−333−300000000000000000003i−3ii3−i30000000000000000000
χ734-44-4-2-2-44222-22-21-1-110022-2-223−23−232300000000002i3−2i31-100−333−30000000000000000000−3i3i−i3i30000000000000000000
χ744-44-4-2-2-44222-22-21-1-110022-2-2−232323−230000000000−2i32i31-1003−3−330000000000000000000−3i3ii3−i30000000000000000000
χ754-44-4-2-2-44222-22-21-1-110022-2-2−232323−2300000000002i3−2i31-1003−3−3300000000000000000003i−3i−i3i30000000000000000000
χ764-4-444-2002-2-4-442-22-22−2i22i20000−2i2−2i22i22i24-4000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000000
χ774-4-444-2002-2-4-442-22-22−2i22i20000−2i2−2i22i22i2-44000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000000
χ784-4-444-2002-2-4-442-22-222i2−2i200002i22i2−2i2−2i24-4000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000000
χ794-4-444-2002-2-4-442-22-222i2−2i200002i22i2−2i2−2i2-44000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000000
χ804-4-44-2400-4422-2-4-22-22−2i22i20000i2i2−i2−i2004-4−2i22i2−2i22i2000000−2i22i2i2i2−i2−i20000000000-22i2−i2i2−i200000000000000000000000000
χ814-4-44-2400-4422-2-4-22-22−2i22i20000i2i2−i2−i200-442i2−2i22i2−2i2000000−2i22i2i2i2−i2−i200000000002-2−i2i2−i2i200000000000000000000000000
χ824-4-44-2400-4422-2-4-22-222i2−2i20000−i2−i2i2i2004-42i2−2i22i2−2i20000002i2−2i2−i2−i2i2i20000000000-22−i2i2−i2i200000000000000000000000000
χ834-4-44-2400-4422-2-4-22-222i2−2i20000−i2−i2i2i200-44−2i22i2−2i22i20000002i2−2i2−i2−i2i2i200000000002-2i2−i2i2−i200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-444422-2-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-400-44-444422-2-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-48-8444-44-42-2-2200-4-4440000000000000000-22000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000

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