Finite Group Databasebeta

← Group #11898325

Character table — Group #11898325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212444424661212121224242424242424244444448888121212126661212124488882412121212121224242424461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1111-1-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-111-1-1-1-11-111-1-111-1-1-1-111-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-111111-1-1-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1111111-11-1-1-1-1-1-111-111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1111-1-11111-1-1-111111-1-111-1-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-11111-1-11-1111111-1-1-1-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1111-1-11111111-1-1-1-1-111-1-1-1111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-11-1-111-1-111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-111111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200000000222200000022000000-2-200000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-220000000022-2-2000000-2-20000002-20000000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-200000000-2-222000000-2-2000000-220000000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000002200000000-2-2-2-2000000220000002200000000-20000
χ2122222-1222-1-122-1-1-1-1-122-12-1222002222-1-1-1-122-1-1-1-1-1-12022002200-1-100-1-1-12-1-1000000200-1-1-100-1-1000-1000
χ2222222-1222-1-122-1-1-1-1-122-12-122200-2-2-2-211-1-122-1-1-1-1-1-120-2-2002200-1-100111-211000000-200-11100-1-10001000
χ2322222-1222-1-122-1-1-1-1-122-12-12-2-2002222-1-1-1-122-1-1-1-1-1-1-20-2-200-2-2001100-1-1-12-1-1000000-20011100110001000
χ2422222-1222-1-122-1-1-1-1-122-12-12-2-200-2-2-2-211-1-122-1-1-1-1-1-1-202200-2-2001100111-2110000002001-1-10011000-1000
χ2522222-1222-1-122-1-1-1-1-1-2-2-12-1222002-22211-1-1-2-211111120-2-200-2-200-1-100-1-1-1-211000000200-1110011000-1000
χ2622222-1222-1-122-1-1-1-1-1-2-2-12-122200-22-2-2-1-1-1-1-2-2111111202200-2-200-1-1001112-1-1000000-200-1-1-100110001000
χ2722222-1222-1-122-1-1-1-1-1-2-2-12-12-2-2002-22211-1-1-2-2111111-20220022001100-1-1-1-211000000-2001-1-100-1-10001000
χ2822222-1222-1-122-1-1-1-1-1-2-2-12-12-2-200-22-2-2-1-1-1-1-2-2111111-20-2-200220011001112-1-100000020011100-1-1000-1000
χ292222-1222-122-1-12-1-1-1-1222-12-1002222-1-122-1-1-1-122-1-1-1-1020022002200-1-12-1-1-1-1-100000002-1000-1-100-1-100-100
χ302222-1222-122-1-12-1-1-1-1222-12-10022-2-211-2-2-1-1-1-122-1-1-1-10200-2-2002200-1-1-2111110000000-2-10001100-1-100100
χ312222-1222-122-1-12-1-1-1-1222-12-100-2-222-1-122-1-1-1-122-1-1-1-10-200-2-200-2-200112-1-1-1-1-10000000-2100011001100100
χ322222-1222-122-1-12-1-1-1-1222-12-100-2-2-2-211-2-2-1-1-1-122-1-1-1-10-2002200-2-20011-211111000000021000-1-1001100-100
χ332222-1222-122-1-12-1-1-1-1-2-22-12-100222-2-1-1-2-2-1-111-2-2111102002200-2-200-1-12-1-11110000000-2-1000-1-1001100100
χ342222-1222-122-1-12-1-1-1-1-2-22-12-10022-221122-1-111-2-211110200-2-200-2-200-1-1-211-1-1-100000002-100011001100-100
χ352222-1222-122-1-12-1-1-1-1-2-22-12-100-2-22-2-1-1-2-2-1-111-2-211110-200-2-2002200112-1-11110000000210001100-1-100-100
χ362222-1222-122-1-12-1-1-1-1-2-22-12-100-2-2-221122-1-111-2-211110-2002200220011-211-1-1-10000000-21000-1-100-1-100100
χ3722-2-22200-22-22-2-222-2-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i2000000−i2i2−i2i22-22-20000002-2−i2−i2i2i200000000−i2i2−i2i200000
χ3822-2-22200-22-22-2-222-2-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i2000000−i2i2i2−i22-2-22000000-22i2i2−i2−i200000000−i2i2i2−i200000
χ3922-2-22200-22-22-2-222-2-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i2000000i2−i2−i2i2-222-2000000-22i2i2−i2−i200000000i2−i2−i2i200000
χ4022-2-22200-22-22-2-222-2-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i2000000i2−i2i2−i2-22-220000002-2−i2−i2i2i200000000i2−i2i2−i200000
χ4122-2-22200-22-22-2-222-2-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i2000000i2−i2i2−i22-22-20000002-2i2i2−i2−i200000000i2−i2i2−i200000
χ4222-2-22200-22-22-2-222-2-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i2000000i2−i2−i2i22-2-22000000-22−i2−i2i2i200000000i2−i2−i2i200000
χ4322-2-22200-22-22-2-222-2-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i2000000−i2i2i2−i2-222-2000000-22−i2−i2i2i200000000−i2i2i2−i200000
χ4422-2-22200-22-22-2-222-2-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i2000000−i2i2−i2i2-22-220000002-2i2i2−i2−i200000000−i2i2−i2i200000
χ452-2-2222-22-2-22-22-22-2-220022-2-200000000002-200000000002i−2i2i−2i00000000000000002-22-200002i−2i2i−2i000000000
χ462-2-2222-22-2-22-22-22-2-220022-2-200000000002-200000000002i−2i−2i2i0000000000000000-22-2200002i−2i−2i2i000000000
χ472-2-2222-22-2-22-22-22-2-220022-2-200000000002-20000000000−2i2i2i−2i0000000000000000-22-220000−2i2i2i−2i000000000
χ482-2-2222-22-2-22-22-22-2-220022-2-200000000002-20000000000−2i2i−2i2i00000000000000002-22-20000−2i2i−2i2i000000000
χ4944444-2-4-44-2-244-2-2-2-2-2002-42-444000000002200000000-4000000000-2-20000000000000000020000000000000
χ5044444-2-4-44-2-244-2-2-2-2-2002-42-4-4-400000000220000000040000000002200000000000000000-20000000000000
χ514444-24-4-4-244-2-24-2-2-2-200-42-42004400000022000000000-40000000000-2-200000000000000200000000000000
χ524444-24-4-4-244-2-24-2-2-2-200-42-4200-4-400000022000000000400000000002200000000000000-200000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-1-1-21100000000000000000000000
χ5744-4-44-200-4-224-42-2-222−2i22i200004-40000000000−2i22i2i2−i2i2i2−i2−i2000000−2i22i200-220000000000000000000000i2−i20000000
χ5844-4-44-200-4-224-42-2-222−2i22i20000-440000000000−2i22i2i2−i2i2i2−i2−i20000002i2−2i2002-20000000000000000000000−i2i20000000
χ5944-4-44-200-4-224-42-2-2222i2−2i200004-400000000002i2−2i2−i2i2−i2−i2i2i20000002i2−2i200-220000000000000000000000−i2i20000000
χ6044-4-44-200-4-224-42-2-2222i2−2i20000-4400000000002i2−2i2−i2i2−i2−i2i2i2000000−2i22i2002-20000000000000000000000i2−i20000000
χ6144-4-4-240024-4-22-4-2-222−2i22i20000004-400000000i2−i2−2i22i2i2i2−i2−i200000000−2i22i200-220000000000000000000000i2−i200000
χ6244-4-4-240024-4-22-4-2-222−2i22i2000000-4400000000i2−i2−2i22i2i2i2−i2−i2000000002i2−2i2002-20000000000000000000000−i2i200000
χ6344-4-4-240024-4-22-4-2-2222i2−2i20000004-400000000−i2i22i2−2i2−i2−i2i2i2000000002i2−2i200-220000000000000000000000−i2i200000
χ6444-4-4-240024-4-22-4-2-2222i2−2i2000000-4400000000−i2i22i2−2i2−i2−i2i2i200000000−2i22i2002-20000000000000000000000i2−i200000
χ654-44-444004-4-4-4-444-44-4000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ664-44-444004-4-4-4-444-44-40000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ674-4-44444-4-4-44-44-44-4-4400-4-4440000000000-44000000000000000000000000000000000000000000000000000
χ684-4-444-24-4-42-2-442-222-2002-4-2400000000−2i32i32-200000000000000000000000000−2i32i300000000000000000000000
χ694-4-444-24-4-42-2-442-222-2002-4-24000000002i3−2i32-2000000000000000000000000002i3−2i300000000000000000000000
χ704-4-444-2-44-42-2-442-222-200-242-40000000000-2200000000004i−4i00000000000000000000000000−2i2i00000000000
χ714-4-444-2-44-42-2-442-222-200-242-40000000000-220000000000−4i4i000000000000000000000000002i−2i00000000000
χ724-4-44-244-42-442-2-4-222-200-424-2000000−2i32i3002-200000000000000000000000−2i32i300000000000000000000000000
χ734-4-44-244-42-442-2-4-222-200-424-20000002i3−2i3002-2000000000000000000000002i3−2i300000000000000000000000000
χ744-4-44-24-442-442-2-4-222-2004-2-420000000000-220000000000004i−4i00000000000000000000000000−2i2i000000000
χ754-4-44-24-442-442-2-4-222-2004-2-420000000000-22000000000000−4i4i000000000000000000000000002i−2i000000000
χ764-4-44-2-24-422-22-221-1-110022-2-2000000−2i32i3−2i32i3-1100003-33-3000000000000000i3−i30i3−i300000000000000000000000
χ774-4-44-2-24-422-22-221-1-110022-2-2000000−2i32i32i3−2i3-110000-33-33000000000000000i3−i30−i3i300000000000000000000000
χ784-4-44-2-24-422-22-221-1-110022-2-20000002i3−2i3−2i32i3-110000-33-33000000000000000−i3i30i3−i300000000000000000000000
χ794-4-44-2-24-422-22-221-1-110022-2-20000002i3−2i32i3−2i3-1100003-33-3000000000000000−i3i30−i3i300000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-44422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-44422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ838-88-88-400844-8-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-4-8-8448-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-44444-42-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ868-88-8-4-400-44444-42-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000000

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