Finite Group Databasebeta

← Group #11874428

Character table — Group #11874428

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222333344444444444444666666888888888888881212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666644443666881212121224242424221212121224661212121224242424242444668888242424246661212122444661212121224244488121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-11-11-1
χ61111111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-11-11-1-1-1-11111-1-111-11-11
χ71111111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111-1-1-11-11
χ81111111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-11-111-1-1-1-111-1-1111-11-1
χ911111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1
χ1011111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ1211111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1
χ1311111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-111-1-11111111-1-1-11-11-11111-1-1-1-1-1-1111-1-11
χ1411111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-1-1111-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1111-11-11-1-11111-1-1-1-111-111-1
χ1611111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-111-1-1-1-1-1111111-1-11-1-11
χ17222222-2-22222222222222200-2-2-2-20000-2-22222000000-2-20000002-2-2-2000000000000000000002-200002-2000000
χ18222222-2-22222222222222200-2-2-2-20000-2-22222000000-2-2000000-22-2-200000000000000000000-220000-22000000
χ19222222-2-2222222-2-2-2-2222200-2-2-2-2000022-2-2-2-2000000-2-20000002-222000000000000000000002-20000-22000000
χ20222222-2-2222222-2-2-2-2222200-2-2-2-2000022-2-2-2-2000000-2-2000000-222200000000000000000000-2200002-2000000
χ2122222-122-1-122-122222-1-1-1-122-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100-1-12200-1-1-1-12-1-12-1-12200-1-100-1-10000000000
χ2222222-122-1-122-122222-1-1-1-122-122-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-100-1-12200-1-1-1-1-211-211-2-2001100110000000000
χ2322222-122-1-122-122222-1-1-1-1-2-2-122-1111122-1-1-1-12-2-1-111-1-1-2-2111100-1-1-2-20011112-1-1-211-22001100-1-10000000000
χ2422222-122-1-122-122222-1-1-1-1-2-2-122-1111122-1-1-1-1-2211-1-1-1-1-2-2111100-1-1-2-2001111-2112-1-12-200-1-100110000000000
χ2522222-122-1-122-12-2-2-2-2-1-1-1-122-122-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-10011-2-20011112-1-12-1-1-2-2001100110000000000
χ2622222-122-1-122-12-2-2-2-2-1-1-1-122-122-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-10011-2-2001111-211-2112200-1-100-1-10000000000
χ2722222-122-1-122-12-2-2-2-2-1-1-1-1-2-2-122-11111-2-211112-2-1-111-1-1-2-2111100112200-1-1-1-12-1-1-2112-200-1-100110000000000
χ2822222-122-1-122-12-2-2-2-2-1-1-1-1-2-2-122-11111-2-21111-2211-1-1-1-1-2-2111100112200-1-1-1-1-2112-1-1-22001100-1-10000000000
χ292222-122222-1-12-10000-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1220000220000-1-1-1-1-1-1002200-1-100-1-10000-1-100
χ302222-122222-1-12-10000-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1-2-20000-2-20000-1-1-1-1-1-100-2-20011001100001100
χ312222-122222-1-12-10000-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-122000022000011111100-2-200-1-100-1-100001100
χ322222-122222-1-12-10000-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-20000-2-200001111110022001100110000-1-100
χ332222-122222-1-12-10000-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111220000-2-20000-1-1-1111002-200-1-100110000-1100
χ342222-122222-1-12-10000-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111-2-20000220000-1-1-111100-22001100-1-100001-100
χ352222-122222-1-12-10000-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111220000-2-20000111-1-1-100-2200-1-1001100001-100
χ362222-122222-1-12-10000-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111-2-20000220000111-1-1-1002-2001100-1-10000-1100
χ372-2-22222-2-2-2-2-22222-2-22-2-222-2-22-2222-2-22-222-2-2000000-222-222-2-2002-22-20022-2-200000000000000000000000000
χ382-2-22222-2-2-2-2-22222-2-22-2-22-22-22-22-2-2222-222-2-2000000-22-22-2-222002-2-2200-2-22200000000000000000000000000
χ392-2-22222-2-2-2-2-222-2-2222-2-222-2-22-2222-2-2-22-2-222000000-222-222-2-200-22-2200-2-22200000000000000000000000000
χ402-2-22222-2-2-2-2-222-2-2222-2-22-22-22-22-2-222-22-2-222000000-22-22-2-22200-222-20022-2-200000000000000000000000000
χ412-2-2222-22-2-2-2-22222-2-22-2-22002-22-20000-2222-2-20000002-200000000-22002-2000000000000000000002-2002-20000
χ422-2-2222-22-2-2-2-22222-2-22-2-22002-22-20000-2222-2-20000002-200000000-2200-2200000000000000000000-2200-220000
χ432-2-2222-22-2-2-2-222-2-2222-2-22002-22-200002-2-2-2220000002-2000000002-2002-2000000000000000000002-200-220000
χ442-2-2222-22-2-2-2-222-2-2222-2-22002-22-200002-2-2-2220000002-2000000002-200-2200000000000000000000-22002-20000
χ452-2-222-12-211-2-2-1222-2-2-111-12-212-2-1-1-1112-2-1-11100−i3i3−i3i31-12-2-1-11100-112-200-1-1110−i3i30−i3i30000−i3i300−i3i30000000000
χ462-2-222-12-211-2-2-1222-2-2-111-12-212-2-1-1-1112-2-1-11100i3−i3i3−i31-12-2-1-11100-112-200-1-1110i3−i30i3−i30000i3−i300i3−i30000000000
χ472-2-222-12-211-2-2-1222-2-2-111-1-2212-2-111-1-12-2-1-11100−i3i3i3−i31-1-2211-1-100-11-220011-1-10−i3i30i3−i30000i3−i300−i3i30000000000
χ482-2-222-12-211-2-2-1222-2-2-111-1-2212-2-111-1-12-2-1-11100i3−i3−i3i31-1-2211-1-100-11-220011-1-10i3−i30−i3i30000−i3i300i3−i30000000000
χ492-2-222-12-211-2-2-12-2-222-111-12-212-2-1-1-111-2211-1-100−i3i3−i3i31-12-2-1-111001-1-220011-1-10−i3i30−i3i30000i3−i300i3−i30000000000
χ502-2-222-12-211-2-2-12-2-222-111-12-212-2-1-1-111-2211-1-100i3−i3i3−i31-12-2-1-111001-1-220011-1-10i3−i30i3−i30000−i3i300−i3i30000000000
χ512-2-222-12-211-2-2-12-2-222-111-1-2212-2-111-1-1-2211-1-100−i3i3i3−i31-1-2211-1-1001-12-200-1-1110−i3i30i3−i30000−i3i300i3−i30000000000
χ522-2-222-12-211-2-2-12-2-222-111-1-2212-2-111-1-1-2211-1-100i3−i3−i3i31-1-2211-1-1001-12-200-1-1110i3−i30−i3i30000i3−i300−i3i30000000000
χ5344444-2-4-4-2-244-244444-2-2-2-2002-4-420000-4-4-2-2-2-20000002200000000220000000000000000000000000000000000
χ5444444-2-4-4-2-244-24-4-4-4-4-2-2-2-2002-4-4200004422220000002200000000-2-20000000000000000000000000000000000
χ554444-24-4-444-2-24-20000-2-2-2-200-422-40000000000000000220000004-40000000000000000000000-22000000000000
χ564444-24-4-444-2-24-20000-2-2-2-200-422-4000000000000000022000000-4400000000000000000000002-2000000000000
χ574444-2-244-2-2-2-2-2-20000111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000-211-21100000000000000000000
χ584444-2-244-2-2-2-2-2-20000111144-2-2-2-2-2-2-2-2000000-4-4222211-2-211110000000000002-1-12-1-100000000000000000000
χ594444-2-244-2-2-2-2-2-200001111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000-2112-1-100000000000000000000
χ604444-2-244-2-2-2-2-2-200001111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000002-1-1-21100000000000000000000
χ6144-4-444004-44-4-4-44i−4i4i−4i44-4-40000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ6244-4-444004-44-4-4-4−4i4i−4i4i44-4-4000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ6344-4-44-200-224-42-44i−4i4i−4i-2-2220000006−66−600−2i2i−2i2i00000000006−66−600000000i6−i6i6−i600000000000000000000000000
χ6444-4-44-200-224-42-44i−4i4i−4i-2-222000000−66−6600−2i2i−2i2i0000000000−66−6600000000−i6i6−i6i600000000000000000000000000
χ6544-4-44-200-224-42-4−4i4i−4i4i-2-2220000006−66−6002i−2i2i−2i00000000006−66−600000000−i6i6−i6i600000000000000000000000000
χ6644-4-44-200-224-42-4−4i4i−4i4i-2-222000000−66−66002i−2i2i−2i0000000000−66−6600000000i6−i6i6−i600000000000000000000000000
χ674-44-44400-44-44-4-44i−4i−4i4i4-44-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ684-44-44400-44-44-4-4−4i4i4i−4i4-44-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ694-44-44-2002-2-442-44i−4i−4i4i-22-220000006−6−6600−2i2i2i−2i00000000006−6−6600000000i6−i6−i6i600000000000000000000000000
χ704-44-44-2002-2-442-44i−4i−4i4i-22-22000000−666−600−2i2i2i−2i0000000000−666−600000000−i6i6i6−i600000000000000000000000000
χ714-44-44-2002-2-442-4−4i4i4i−4i-22-220000006−6−66002i−2i−2i2i00000000006−6−6600000000−i6i6i6−i600000000000000000000000000
χ724-44-44-2002-2-442-4−4i4i4i−4i-22-22000000−666−6002i−2i−2i2i0000000000−666−600000000i6−i6−i6i600000000000000000000000000
χ734-4-444-2-4422-4-4-2444-4-4-222-200-2-4420000-44-2-222000000-22000000002-20000000000000000000000000000000000
χ744-4-444-2-4422-4-4-24-4-444-222-200-2-44200004-422-2-2000000-2200000000-220000000000000000000000000000000000
χ754-4-44-244-4-4-4224-20000-222-24-4-4-22444-4-40000000000002-2-22-2-22200000000000000000000000000000000000000
χ764-4-44-244-4-4-4224-20000-222-2-44-4-224-4-4440000000000002-22-222-2-200000000000000000000000000000000000000
χ774-4-44-24-44-4-4224-20000-222-20042-2-40000000000000000-220000000000004-400000000000000000000-2200000000
χ784-4-44-24-44-4-4224-20000-222-20042-2-40000000000000000-22000000000000-44000000000000000000002-200000000
χ794-4-44-2-24-42222-2-200001-1-114-42-22-2-2-22200000000−2i32i3−2i32i3-11-2211-1-10000000000000i3−i30i3−i300000000000000000000
χ804-4-44-2-24-42222-2-200001-1-114-42-22-2-2-222000000002i3−2i32i3−2i3-11-2211-1-10000000000000−i3i30−i3i300000000000000000000
χ814-4-44-2-24-42222-2-200001-1-11-442-22-222-2-200000000−2i32i32i3−2i3-112-2-1-1110000000000000i3−i30−i3i300000000000000000000
χ824-4-44-2-24-42222-2-200001-1-11-442-22-222-2-2000000002i3−2i3−2i32i3-112-2-1-1110000000000000−i3i30i3−i300000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4000022220044440000000000000000-2-200000000000000000000000000000000000000000000
χ8488-8-8-48008-8-44-840000-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-4444000022-2-200000026−2626−260000000000000000−66−6600000000000000000000000000000000000000
χ8688-8-8-4-400-44-4444000022-2-2000000−2626−262600000000000000006−66−600000000000000000000000000000000000000
χ878-88-8-4800-884-4-840000-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-44400002-22-200000026−26−26260000000000000000−666−600000000000000000000000000000000000000
χ898-88-8-4-4004-44-44400002-22-2000000−262626−2600000000000000006−6−6600000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-400002-2-2200-44-4400000000000000002-200000000000000000000000000000000000000000000

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