Finite Group Databasebeta

← Group #11898273

Character table — Group #11898273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212444422666612122424242424242424444444888812121212666666448888221212121212122424242446622
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
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-11-111
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
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-1-1-1-111111-1-1-1-1-1-11-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-11111-1-11111-1-11-111-1-1-1-11111-1-11-11111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-11-1-111-1-11111111-1-1-1-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-111-1-1-1-1111111-11-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11-1-111-1-11111-1-1-11111111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11-1-1-1-1-111111111-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-11-1-111-1-111111-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200000000222200000022000000-2-200000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-220000000022-2-2000000-2-2000000-220000000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-200000000-2-222000000-2-20000002-20000000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000002200000000-2-2-2-2000000220000002200000000-20000
χ2122222-1222-12-12-1-1-1-1-1222-12-100222222-1-1-1-122-1-1-1-1-1-1020022002200-1-1-12-1-1-1-1000000020-100-1-100-1-100-100
χ2222222-1222-12-12-1-1-1-1-1222-12-10022-2-2-2-211-1-122-1-1-1-1-1-10200-2-2002200-1-11-211110000000-20-1001100-1-100100
χ2322222-1222-12-12-1-1-1-1-1222-12-100-2-22222-1-1-1-122-1-1-1-1-1-10-200-2-200-2-20011-12-1-1-1-10000000-2010011001100100
χ2422222-1222-12-12-1-1-1-1-1222-12-100-2-2-2-2-2-211-1-122-1-1-1-1-1-10-2002200-2-200111-21111000000020100-1-1001100-100
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-100222-22211-1-1-2-21111110200-2-200-2-200-1-1-1-2-1-111000000020-10011001100-100
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-1-2-211111102002200-2-200-1-11211-1-10000000-20-100-1-1001100100
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-100-2-22-22211-1-1-2-21111110-2002200220011-1-2-1-1110000000-20100-1-100-1-100100
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-1-2-21111110-200-2-2002200111211-1-10000000201001100-1-100-100
χ292222-1222-12-12-12-1-1-1-122-12-12220022-1-122-1-1-1-122-1-1-1-12022002200-1-1002-1-1-1-1-100000020-10-1-100-1-1000-1000
χ302222-1222-12-12-12-1-1-1-122-12-122200-2-211-2-2-1-1-1-122-1-1-1-120-2-2002200-1-100-211111000000-20-101100-1-10001000
χ312222-1222-12-12-12-1-1-1-122-12-12-2-20022-1-122-1-1-1-122-1-1-1-1-20-2-200-2-20011002-1-1-1-1-1000000-20101100110001000
χ322222-1222-12-12-12-1-1-1-122-12-12-2-200-2-211-2-2-1-1-1-122-1-1-1-1-202200-2-2001100-2111110000002010-1-10011000-1000
χ332222-1222-12-12-12-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-111-2-21111202200-2-200-1-10021-1-111000000-20-10-1-100110001000
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122200-221122-1-111-2-2111120-2-200-2-200-1-100-2-111-1-100000020-10110011000-1000
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-111-2-21111-20-2-2002200110021-1-11100000020101100-1-1000-1000
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-2-200-221122-1-111-2-21111-20220022001100-2-111-1-1000000-2010-1-100-1-10001000
χ3722-2-222-2222-2-2-2-22-2-220022-2-200000000002-200000000002i−2i2i−2i000000000000000022-2-200002i−2i2i−2i000000000
χ3822-2-222-2222-2-2-2-22-2-220022-2-200000000002-200000000002i−2i−2i2i0000000000000000-2-22200002i−2i−2i2i000000000
χ3922-2-222-2222-2-2-2-22-2-220022-2-200000000002-20000000000−2i2i2i−2i0000000000000000-2-2220000−2i2i2i−2i000000000
χ4022-2-222-2222-2-2-2-22-2-220022-2-200000000002-20000000000−2i2i−2i2i000000000000000022-2-20000−2i2i−2i2i000000000
χ412-2-222200-2-2-2-22222-2-22−200002-22-2000000002−22−222−2−20000002−22−22-22-20000002-22−22−2000000002−22−200000
χ422-2-222200-2-2-2-22222-2-22−200002-2-22000000002−22−222−2−20000002−2−222-2-22000000-22−22−22000000002−2−2200000
χ432-2-222200-2-2-2-22222-2-22−20000-222-2000000002−22−222−2−2000000−222−2-222-2000000-22−22−2200000000−222−200000
χ442-2-222200-2-2-2-22222-2-22−20000-22-22000000002−22−222−2−2000000−22−22-22-220000002-22−22−200000000−22−2200000
χ452-2-222200-2-2-2-22222-2-2−2200002-22-200000000−22−22−2−222000000−22−222-22-20000002-2−22−2200000000−22−2200000
χ462-2-222200-2-2-2-22222-2-2−2200002-2-2200000000−22−22−2−222000000−222−22-2-22000000-222−22−200000000−222−200000
χ472-2-222200-2-2-2-22222-2-2−220000-222-200000000−22−22−2−2220000002−2−22-222-2000000-222−22−2000000002−2−2200000
χ482-2-222200-2-2-2-22222-2-2−220000-22-2200000000−22−22−2−2220000002−22−2-22-220000002-2−22−22000000002−22−200000
χ4944444-2-4-44-24-24-2-2-2-2-200-42-42004400000022000000000-40000000000-2-200000000000000020000000000000
χ5044444-2-4-44-24-24-2-2-2-2-200-42-4200-4-4000000220000000004000000000022000000000000000-20000000000000
χ514444-24-4-4-24-24-24-2-2-2-2002-42-444000000002200000000-4000000000-2-20000000000000000200000000000000
χ524444-24-4-4-24-24-24-2-2-2-2002-42-4-4-40000000022000000004000000000220000000000000000-200000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-2-1-11100000000000000000000000
χ5744-4-4444-444-4-4-4-44-4-4400-4-4440000000000-44000000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-42-42-222-200-424-200000000−2i32i32-200000000000000000000000000−2i32i300000000000000000000000
χ5944-4-44-24-44-2-42-42-222-200-424-2000000002i3−2i32-2000000000000000000000000002i3−2i300000000000000000000000
χ6044-4-44-2-444-2-42-42-222-2004-2-420000000000-220000000000004i−4i00000000000000000000000000−2i2i000000000
χ6144-4-44-2-444-2-42-42-222-2004-2-420000000000-22000000000000−4i4i000000000000000000000000002i−2i000000000
χ6244-4-4-244-4-242-42-4-222-2002-4-24000000−2i32i3002-2000000000000000000000000−2i32i30000000000000000000000000
χ6344-4-4-244-4-242-42-4-222-2002-4-240000002i3−2i3002-20000000000000000000000002i3−2i30000000000000000000000000
χ6444-4-4-24-44-242-42-4-222-200-242-40000000000-2200000000004i−4i00000000000000000000000000−2i2i00000000000
χ6544-4-4-24-44-242-42-4-222-200-242-40000000000-220000000000−4i4i000000000000000000000000002i−2i00000000000
χ6644-4-4-2-24-4-2-222221-1-110022-2-2000000−2i32i3−2i32i3-1100003-33-30000000000000000i3−i3i3−i300000000000000000000000
χ6744-4-4-2-24-4-2-222221-1-110022-2-2000000−2i32i32i3−2i3-110000-33-330000000000000000i3−i3−i3i300000000000000000000000
χ6844-4-4-2-24-4-2-222221-1-110022-2-20000002i3−2i3−2i32i3-110000-33-330000000000000000−i3i3i3−i300000000000000000000000
χ6944-4-4-2-24-4-2-222221-1-110022-2-20000002i3−2i32i3−2i3-1100003-33-30000000000000000−i3i3−i3i300000000000000000000000
χ704-44-44400-4-444-4-44-44-400000000000000000000000000000000000000000000000022−22−222200000000000000000
χ714-44-44400-4-444-4-44-44-4000000000000000000000000000000000000000000000000−222222−2200000000000000000
χ724-4-444-200-42-424-2-2-22222−220000004-40000000022−22−22−2−2220000000022−2200-220000000000000000000000−2200000
χ734-4-444-200-42-424-2-2-22222−22000000-440000000022−22−22−2−22200000000−2222002-200000000000000000000002−200000
χ744-4-444-200-42-424-2-2-222−22220000004-400000000−22222−222−2−200000000−222200-2200000000000000000000002−200000
χ754-4-444-200-42-424-2-2-222−2222000000-4400000000−22222−222−2−20000000022−22002-20000000000000000000000−2200000
χ764-4-44-24002-42-4-24-2-22222−2200004-40000000000−2222−22−2−22200000022−2200-220000000000000000000000−220000000
χ774-4-44-24002-42-4-24-2-22222−220000-440000000000−2222−22−2−222000000−2222002-200000000000000000000002−20000000
χ784-4-44-24002-42-4-24-2-222−222200004-400000000002−2−222222−2−2000000−222200-2200000000000000000000002−20000000
χ794-4-44-24002-42-4-24-2-222−22220000-4400000000002−2−222222−2−200000022−22002-20000000000000000000000−220000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4-88-4-444442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000000
χ828-88-88-400-848-4-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-48004-8-484-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40044-4-4442-22-2000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-4442-22-20000000000000000000000−323232−320000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000

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