Finite Group Databasebeta

← Group #11887575

Character table — Group #11887575

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242422228888441212121224242424242444446666881212242424241212121212121244244121212242444488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-1-11-1-1-111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111-1-111-1-1-1-111111111111111-1111-1-111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111-1-111-11
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1-111-111-1-11-1-1111-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-1-111111-1-1111-1-11-1-1-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-111-111-1-1-1-1-11-111-111-1-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11-1-111-1-11-11-1-1-111-111111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-1-1-1-11-11-1-11-1-1-1-1-1111-111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-111-1111-1-1-1-1-1-11111-1-11-1-111-1-1-11-1111-1-1-11111-11-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-111-1-1111-1-111-111111-1-11-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-11111-111-1-1-1111-1-1-1-1-1111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-200000000-2-2222200-2-2000000000002200000-200-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-200000000-22-2-22200-2-200000000000-2-200000200200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000002-222-2-2002200000000000-2-200000-200200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000000022-2-2-2-20022000000000002200000200-200000000
χ2122222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1220022222222-1-122-1-1-1-1002000-1-100-1-1-1-1-1-12-1-1-1-1-1-1002200000000000-1-100
χ2222222-1222-1-122-1-1-1-1-122-122-1-1-1-1-122002222-2-2-2-2-1-122-1-1-1-1002000-1-100-1-1-1-1-1-1-211111100-2-2000000000001100
χ2322222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-100-200011001111112-1-1-1-1-1-100-2-2000000000001100
χ2422222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-100-20001100111111-2111111002200000000000-1-100
χ2522222-1222-1-122-1-1-1-1-1-2-2-122-111112200-2-2-2-22-2-2-2-1-1-2-21111002000-1-100-1-111112-11-1-11100-22000000000001-100
χ2622222-1222-1-122-1-1-1-1-1-2-2-122-111112200-2-2-2-2-2222-1-1-2-21111002000-1-100-1-11111-21-111-1-1002-200000000000-1100
χ2722222-1222-1-122-1-1-1-1-1-2-2-122-11111-2-20022222-2-2-2-1-1-2-2111100-2000110011-1-1-1-12-11-1-111002-200000000000-1100
χ2822222-1222-1-122-1-1-1-1-1-2-2-122-11111-2-2002222-2222-1-1-2-2111100-2000110011-1-1-1-1-21-111-1-100-22000000000001-100
χ292222-1222-122-1-12-1-1-1-1222-1-1222220022000022-1-1-1-1-1-1-1-1-1-12202-1-10022000000-122-1-1-1-100002-1-1-1-1-10000000-10
χ302222-1222-122-1-12-1-1-1-1222-1-12222200220000-2-211-1-1-1-1-1-1-1-1-2-202-1-100220000001-2-211110000-211-1-1-1000000010
χ312222-1222-122-1-12-1-1-1-1222-1-12222200-2-2000022-1-1-1-1-1-1-1-1-1-1-2-20-21100-2-2000000-122-1-1-1-10000-211111000000010
χ322222-1222-122-1-12-1-1-1-1222-1-12222200-2-20000-2-211-1-1-1-1-1-1-1-1220-21100-2-20000001-2-2111100002-1-11110000000-10
χ332222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2002200002-211-1-1111111-2-202-1-100-2-2000000-12-2-1-1110000211-1110000000-10
χ342222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-200220000-22-1-1-1-11111112202-1-100-2-20000001-2211-1-10000-2-1-1-111000000010
χ352222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2-200002-211-1-1111111220-2110022000000-12-2-1-1110000-2-1-11-1-1000000010
χ362222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2-20000-22-1-1-1-1111111-2-20-21100220000001-2211-1-100002111-1-10000000-10
χ372-22-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i22-22-2−i2−i2i2i2000000−i2i2−i2−i2i2i200002-22-2−i2i200−i2−i2i2i200000002-2000000−i2i2000−i2i20000
χ382-22-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i22-2-22−i2−i2i2i2000000−i2i2−i2−i2i2i20000-222-2i2−i200−i2−i2i2i20000000-22000000i2−i2000i2−i20000
χ392-22-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i2-222-2i2i2−i2−i2000000−i2i2−i2−i2i2i200002-2-22−i2i200i2i2−i2−i20000000-22000000−i2i2000i2−i20000
χ402-22-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i2-22-22i2i2−i2−i2000000−i2i2−i2−i2i2i20000-22-22i2−i200i2i2−i2−i200000002-2000000i2−i2000−i2i20000
χ412-22-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i22-22-2i2i2−i2−i2000000i2−i2i2i2−i2−i200002-22-2i2−i200i2i2−i2−i200000002-2000000i2−i2000i2−i20000
χ422-22-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i22-2-22i2i2−i2−i2000000i2−i2i2i2−i2−i20000-222-2−i2i200i2i2−i2−i20000000-22000000−i2i2000−i2i20000
χ432-22-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i2-222-2−i2−i2i2i2000000i2−i2i2i2−i2−i200002-2-22i2−i200−i2−i2i2i20000000-22000000i2−i2000−i2i20000
χ442-22-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i2-22-22−i2−i2i2i2000000i2−i2i2i2−i2−i20000-22-22−i2i200−i2−i2i2i200000002-2000000−i2i2000i2−i20000
χ452-2-22222-2-2-2-2-22222-2-2002-22-2000000002i−2i2i−2i00002-20000002i−2i00000000002i−2i2i−2i0000000000002i−2i00002-2000000
χ462-2-22222-2-2-2-2-22222-2-2002-22-2000000002i−2i2i−2i00002-2000000−2i2i00000000002i−2i2i−2i000000000000−2i2i0000-22000000
χ472-2-22222-2-2-2-2-22222-2-2002-22-200000000−2i2i−2i2i00002-20000002i−2i0000000000−2i2i−2i2i0000000000002i−2i0000-22000000
χ482-2-22222-2-2-2-2-22222-2-2002-22-200000000−2i2i−2i2i00002-2000000−2i2i0000000000−2i2i−2i2i000000000000−2i2i00002-2000000
χ4944444-2-4-44-2-244-2-2-2-2-2002-4-4200004400000000002200000000-4000-2-20022000000000000000000000000000000
χ5044444-2-4-44-2-244-2-2-2-2-2002-4-420000-4-40000000000220000000040002200-2-2000000000000000000000000000000
χ514444-24-4-4-244-2-24-2-2-2-200-422-4000000440000000022000000000-4-2-2000000000000000000000000200000000000
χ524444-24-4-4-244-2-24-2-2-2-200-422-4000000-4-40000000022000000000422000000000000000000000000-200000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-2-1-1110000000000000000000
χ5744-4-444004-44-4-4-44-4-440000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-444004-44-4-4-44-4-4400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-44-20042-2-4-42-222-20000006−66−6000022−22−2222000000006−66−6000000000023−23−222−200000000000000000000000000
χ6044-4-44-20042-2-4-42-222-20000006−66−60000−222222−22000000006−66−60000000000−23232−2−2200000000000000000000000000
χ6144-4-44-20042-2-4-42-222-2000000−66−66000022−22−222200000000−66−660000000000−2323−222−200000000000000000000000000
χ6244-4-44-20042-2-4-42-222-2000000−66−660000−222222−2200000000−66−66000000000023−232−2−2200000000000000000000000000
χ634-44-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2000000−2i22i2i2i2−i2−i2000000-220000i2i2−i2−i200000000000000000000000000
χ644-44-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i2000000−2i22i2i2i2−i2−i20000002-20000−i2−i2i2i200000000000000000000000000
χ654-44-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i20000002i2−2i2−i2−i2i2i2000000-220000−i2−i2i2i200000000000000000000000000
χ664-44-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i20000002i2−2i2−i2−i2i2i20000002-20000i2i2−i2−i200000000000000000000000000
χ674-44-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i2004-40000000000i2−i2i2i2−i2−i20000-2200−2i22i2000000000000000000000i2−i2000000000
χ684-44-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i200-440000000000i2−i2i2i2−i2−i200002-2002i2−2i2000000000000000000000−i2i2000000000
χ694-44-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i2004-40000000000−i2i2−i2−i2i2i20000-22002i2−2i2000000000000000000000−i2i2000000000
χ704-44-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i200-440000000000−i2i2−i2−i2i2i200002-200−2i22i2000000000000000000000i2−i2000000000
χ714-4-4444-44-4-4-4-44444-4-400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ724-4-444-24-4-422-44-2-2-22200-2-442000000004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ734-4-444-24-4-422-44-2-2-22200-2-44200000000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ744-4-444-2-44-422-44-2-2-2220024-4-2−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ754-4-444-2-44-422-44-2-2-2220024-4-22i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ764-4-44-244-42-4-42-24-2-2220042-2-40000000000000000-220000004i−4i00000000000000000000000000−2i2i000000000000
χ774-4-44-244-42-4-42-24-2-2220042-2-40000000000000000-22000000−4i4i000000000000000000000000002i−2i000000000000
χ784-4-44-24-442-4-42-24-2-22200-4-2240000000000000023−232-200000000000000000000000000023−230000000000000000000
χ794-4-44-24-442-4-42-24-2-22200-4-22400000000000000−23232-2000000000000000000000000000−23230000000000000000000
χ804-4-44-2-2-442222-2-211-1-1002-22-2−2i32i32i3−2i3000000000023−23-1100i3−i3−i3i300000000000000000003i−3i−330000000000000000000
χ814-4-44-2-2-442222-2-211-1-1002-22-2−2i32i32i3−2i30000000000−2323-1100i3−i3−i3i30000000000000000000−3i3i3−30000000000000000000
χ824-4-44-2-2-442222-2-211-1-1002-22-22i3−2i3−2i32i3000000000023−23-1100−i3i3i3−i30000000000000000000−3i3i−330000000000000000000
χ834-4-44-2-2-442222-2-211-1-1002-22-22i3−2i3−2i32i30000000000−2323-1100−i3i3i3−i300000000000000000003i−3i3−30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4800-4-8844-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44442-2-2200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000000
χ8788-8-8-4-400-44-44442-2-22000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-4442-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ898-88-8-4-4004-44-4442-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ908-8-88-4-48-84444-4-422-2-200-44-4400000000000000002-2000000000000000000000000000000000000000000000000

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