Finite Group Databasebeta

← Group #11869712

Character table — Group #11869712

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212224441212121212122424242424242424444424444466888812121212121212122224612121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1111-1-11111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-11-1-1-111-1-1-1-11111111111-1-1-111-1-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-11-11-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-1-11-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-111-1-1-111-111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-2-2000022000022000000-2-200-2-2000000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-22-20000220000-2-200000022002-2000000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2-220000-2-20000220000002200-22000000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-2000000002222220000-2-20000-2-2000000-2-20022000000000000000
χ2122222-1222-1-12-12-122-1-1-122-12-122200222-1-1-1-122-1-1-1-1-1-10000022200-1-1220000-12-1-1-1-100200-1-1-100-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12-2-200222-1-1-1-122-1-1-1-1-1-100000-2-2-20011-2-20000-12-1-1-1-100-2001110011000000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-122200-222-1-1-1-1-2-21111110000022200-1-1-2-200001-2-1-11100-200-1-1-10011000000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-2-200-222-1-1-1-1-2-211111100000-2-2-200112200001-2-1-1110020011100-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-122200-2-2-211-1-122-1-1-1-1-1-1000002-2-200-1-12200001-2111100-200-11100-1-1000000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12-2-200-2-2-211-1-122-1-1-1-1-1-100000-2220011-2-200001-21111002001-1-10011000000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-1222002-2-211-1-1-2-2111111000002-2-200-1-1-2-20000-1211-1-100200-1110011000000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2002-2-211-1-1-2-211111100000-2220011220000-1211-1-100-2001-1-100-1-1000000100
χ292222-1222-122-12-1-122-1-1-1222-12-100222-1-122-1-1-1-122-1-1-1-10000200022000022-1-12-1-1-1-1-10002-1000-1-100-1-100000-10
χ302222-1222-122-12-1-122-1-1-1222-12-100-2-22-1-122-1-1-1-122-1-1-1-10000-2000-2-20000-2-2112-1-1-1-1-1000-210001100110000010
χ312222-1222-122-12-1-122-1-1-1-2-22-12-10022-2-1-122-1-111-2-2111100002000220000-2-2-1-1-21-1-111000-2-1000-1-100110000010
χ322222-1222-122-12-1-122-1-1-1-2-22-12-100-2-2-2-1-122-1-111-2-211110000-2000-2-200002211-21-1-111000210001100-1-100000-10
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-10022-211-2-2-1-1-1-122-1-1-1-100002000-2-2000022-1-1-211111000-2-10001100-1-10000010
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-100-2-2-211-2-2-1-1-1-122-1-1-1-10000-2000220000-2-211-21111100021000-1-1001100000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-10022211-2-2-1-111-2-2111100002000-2-20000-2-2-1-12-111-1-10002-100011001100000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-100-2-2211-2-2-1-111-2-211110000-200022000022112-111-1-1000-21000-1-100-1-10000010
χ3722-2-2222-2-2-22-2-222002-2-200-2-2220000000002-20000000022-2-2002i−2i2i−2i000000000000002-200002i−2i2i−2i00000000000
χ3822-2-2222-2-2-22-2-222002-2-200-2-2220000000002-20000000022-2-200−2i2i−2i2i000000000000002-20000−2i2i−2i2i00000000000
χ3922-2-2222-2-2-22-2-222002-2-200-2-2220000000002-200000000-2-222002i−2i−2i2i00000000000000-2200002i−2i−2i2i00000000000
χ4022-2-2222-2-2-22-2-222002-2-200-2-2220000000002-200000000-2-22200−2i2i2i−2i00000000000000-220000−2i2i2i−2i00000000000
χ4122-2-222-22-2-22-2-2222i−2i2-2-20022-2-2000002i−2i2i−2i-220000000022-2-200000000000000002i−2i00-220000000000002i−2i00000
χ4222-2-222-22-2-22-2-2222i−2i2-2-20022-2-2000002i−2i2i−2i-2200000000-2-22200000000000000002i−2i002-2000000000000−2i2i00000
χ4322-2-222-22-2-22-2-222−2i2i2-2-20022-2-200000−2i2i−2i2i-220000000022-2-20000000000000000−2i2i00-22000000000000−2i2i00000
χ4422-2-222-22-2-22-2-222−2i2i2-2-20022-2-200000−2i2i−2i2i-2200000000-2-2220000000000000000−2i2i002-20000000000002i−2i00000
χ452-22-22200-22-22-2-2200-22-2i2−i200002-22i−2i0000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i0000002-2i2−i22−22i−2i0000000000000000i2−i22−2002−2000
χ462-22-22200-22-22-2-2200-22-2i2−i200002-2−2i2i0000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i0000002-2i2−i2−22−2i2i0000000000000000i2−i2−2200−22000
χ472-22-22200-22-22-2-2200-22-2i2−i20000-222i−2i0000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i000000-22−i2i22−22i−2i0000000000000000−i2i22−200−22000
χ482-22-22200-22-22-2-2200-22-2i2−i20000-22−2i2i0000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i000000-22−i2i2−22−2i2i0000000000000000−i2i2−22002−2000
χ492-22-22200-22-22-2-2200-22-2−i2i200002-22i−2i0000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i0000002-2−i2i2−222i−2i0000000000000000−i2i2−2200−22000
χ502-22-22200-22-22-2-2200-22-2−i2i200002-2−2i2i0000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i0000002-2−i2i22−2−2i2i0000000000000000−i2i22−2002−2000
χ512-22-22200-22-22-2-2200-22-2−i2i20000-222i−2i0000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i000000-22i2−i2−222i−2i0000000000000000i2−i2−22002−2000
χ522-22-22200-22-22-2-2200-22-2−i2i20000-22−2i2i0000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i000000-22i2−i22−2−2i2i0000000000000000i2−i22−200−22000
χ5344444-2-4-44-2-24-24-200-2-2-2002-42-4440000000220000000000000-40000-2-2000000000000000002000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-42-4-4-40000000220000000000000400002200000000000000000-2000000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-42-4200440000022000000000000-400000000000-2-2000000000020000000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-42-4200-4-40000022000000000000400000000000220000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-24-4-42-2-424-200-222002-4-24000000000-22000000000000004i−4i0000000000000000000000−2i2i0000000000000
χ6244-4-44-24-4-42-2-424-200-222002-4-24000000000-2200000000000000−4i4i00000000000000000000002i−2i0000000000000
χ6344-4-44-2-44-42-2-424-24i−4i-22200-242-4000004i−4i−2i2i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6444-4-44-2-44-42-2-424-2−4i4i-22200-242-400000−4i4i2i−2i2-200000000000000000000000000002i−2i00000000000000000000000
χ6544-4-4-244-42-442-4-2-200-22200-424-2000000000-2200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6644-4-4-244-42-442-4-2-200-22200-424-2000000000-220000000000000000−4i4i00000000000000000000002i−2i00000000000
χ6744-4-4-24-442-442-4-2-24i−4i-222004-2-4200000−2i2i4i−4i2-20000000000000000000000000000−2i2i00000000000000000000000
χ6844-4-4-24-442-442-4-2-2−4i4i-222004-2-42000002i−2i−4i4i2-200000000000000000000000000002i−2i00000000000000000000000
χ6944-4-4-2-2-4422-222-214i−4i1-1-100-2-22200000−2i2i−2i2i-1100003-33-300000000000000000000i−i3i−3i000000000000000000000
χ7044-4-4-2-2-4422-222-214i−4i1-1-100-2-22200000−2i2i−2i2i-110000-33-3300000000000000000000i−i−3i3i000000000000000000000
χ7144-4-4-2-2-4422-222-21−4i4i1-1-100-2-222000002i−2i2i−2i-1100003-33-300000000000000000000−ii−3i3i000000000000000000000
χ7244-4-4-2-2-4422-222-21−4i4i1-1-100-2-222000002i−2i2i−2i-110000-33-3300000000000000000000−ii3i−3i000000000000000000000
χ734-44-44-200-4-2242-4-2002-222i2−2i200004-40000000002i2−2i2−i2i2−i2−i2i2i20000000000-222i2−2i200000000000000000000−i2i2000000000
χ744-44-44-200-4-2242-4-2002-222i2−2i20000-440000000002i2−2i2−i2i2−i2−i2i2i200000000002-2−2i22i200000000000000000000i2−i2000000000
χ754-44-44-200-4-2242-4-2002-22−2i22i200004-4000000000−2i22i2i2−i2i2i2−i2−i20000000000-22−2i22i200000000000000000000i2−i2000000000
χ764-44-44-200-4-2242-4-2002-22−2i22i20000-44000000000−2i22i2i2−i2i2i2−i2−i200000000002-22i2−2i200000000000000000000−i2i2000000000
χ774-44-4-240024-4-2-42-2002-222i2−2i20000004i−4i0000000−i2i22i2−2i2−i2−i2i2i20000000000000022−22−2i2i000000000000000000−220000000
χ784-44-4-240024-4-2-42-2002-222i2−2i2000000−4i4i0000000−i2i22i2−2i2−i2−i2i2i200000000000000−22222i−2i0000000000000000002−20000000
χ794-44-4-240024-4-2-42-2002-22−2i22i20000004i−4i0000000i2−i2−2i22i2i2i2−i2−i200000000000000−2222−2i2i0000000000000000002−20000000
χ804-44-4-240024-4-2-42-2002-22−2i22i2000000−4i4i0000000i2−i2−2i22i2i2i2−i2−i20000000000000022−222i−2i000000000000000000−220000000
χ814-4-4444004-4-4-44-4400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-4444004-4-4-44-4400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-48-844-444-42002-2-20044-4-40000000002-200000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ868-88-8-4-4004-44-444200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ878-8-888-400844-8-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-4-8-8484-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-44200-2-220000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-4444-44200-2-22000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000

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