Finite Group Databasebeta

← Group #11885820

Character table — Group #11885820

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order1222334466666622366688121212122244466661212242424242424242424668888121266121212124488882244666121212242424242246124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-111111-1-1-1-1111111-1-1-1-1-1-11-11-111-11-1-111-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-11-11-1-11-111-1-111-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-1-1-11-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1111111-1-111-11-1-1-1-11111-11-1-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11-11111-1-111-1-11-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111-1-111-11-11
χ1111111111111111-1-11111111111-1-111-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-11111-1-111
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-1-111111-1
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-111-1-1-1111-1-111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-1111111-1-1111-1-1-111-1-1-1-1-11-11
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1111111111-1-1-1
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000-2-222000022000000220000000000-2-200000000-2000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-2000000002-2220000-2-2000000-2-200000000002-2000000002000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-22-2-2000022000000-2-20000000000-22000000002000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-20000002200000000002200000000-2000
χ2122222-1222-12-12-122-1-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-120000022-1-1-1-12-1-1-1000000020200-10-1-100-1-1000-100
χ2222222-1222-12-12-122-1-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-1-200000-2-211-1-12-1-1-10000000-20-20010110011000100
χ2322222-1222-12-12-122-1-1-1-1-2-22-12-10022-222-1-1-1-1-2-2111111200000-2-2-1-1-1-1-21110000000-20200-10-1-10011000100
χ2422222-1222-12-12-122-1-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-2111111-2000002211-1-1-2111000000020-200101100-1-1000-100
χ2522222-1222-12-12-1-2-2-1-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-120000022-1-111-21110000000-20-200-101100-1-1000100
χ2622222-1222-12-12-1-2-2-1-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-1-200000-2-21111-211100000002020010-1-10011000-100
χ2722222-1222-12-12-1-2-2-1-1-1-1-2-22-12-100222-2-211-1-1-2-2111111200000-2-2-1-1112-1-1-1000000020-200-10110011000-100
χ2822222-1222-12-12-1-2-2-1-1-1-1-2-22-12-100-2-22-2-211-1-1-2-2111111-2000002211112-1-1-10000000-2020010-1-100-1-1000100
χ292222-1222-12-12-1222-1-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-102-1-1220000-1-1-12-1-10000002020-1-10-100-1-1000000-10
χ302222-1222-12-12-1222-1-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-10-211-2-20000-1-1-12-1-1000000-20-201101001100000010
χ312222-1222-12-12-1222-1-1-1-1-2-2-12-122200-2-1-122-1-111-2-2111102-1-1-2-20000-1-11-21100000020-20-1-10-1001100000010
χ322222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-211110-211220000-1-11-211000000-2020110100-1-1000000-10
χ332222-1222-12-12-12-2-2-1-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-102-1-1220000111-211000000-20-20110-100-1-100000010
χ342222-1222-12-12-12-2-2-1-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-10-211-2-20000111-2110000002020-1-1010011000000-10
χ352222-1222-12-12-12-2-2-1-1-1-1-2-2-12-122200211-2-2-1-111-2-2111102-1-1-2-2000011-12-1-1000000-2020110-10011000000-10
χ362222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-211110-21122000011-12-1-100000020-20-1-10100-1-100000010
χ3722-2-2220022-2-2-2-20022-2-2−i2i200002-22i−2i0000000−i2i2−i2i2−i2−i2i2i2002-2−i2i22−22i−2i0000002i−2i22−2−20000000000−i2i22−2000000
χ3822-2-2220022-2-2-2-20022-2-2−i2i200002-2−2i2i0000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−22−2i2i000000−2i2i−2−2220000000000−i2i2−22000000
χ3922-2-2220022-2-2-2-20022-2-2−i2i20000-222i−2i0000000−i2i2−i2i2−i2−i2i2i200-22i2−i22−22i−2i000000−2i2i−2−2220000000000i2−i22−2000000
χ4022-2-2220022-2-2-2-20022-2-2−i2i20000-22−2i2i0000000−i2i2−i2i2−i2−i2i2i200-22i2−i2−22−2i2i0000002i−2i22−2−20000000000i2−i2−22000000
χ4122-2-2220022-2-2-2-20022-2-2i2−i200002-22i−2i0000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2−222i−2i0000002i−2i−2−2220000000000i2−i2−22000000
χ4222-2-2220022-2-2-2-20022-2-2i2−i200002-2−2i2i0000000i2−i2i2−i2i2i2−i2−i2002-2i2−i22−2−2i2i000000−2i2i22−2−20000000000i2−i22−2000000
χ4322-2-2220022-2-2-2-20022-2-2i2−i20000-222i−2i0000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−222i−2i000000−2i2i22−2−20000000000−i2i2−22000000
χ4422-2-2220022-2-2-2-20022-2-2i2−i20000-22−2i2i0000000i2−i2i2−i2i2i2−i2−i200-22−i2i22−2−2i2i0000002i−2i−2−2220000000000−i2i22−2000000
χ452-22-222-22-2-2-2-2222-22-22-200-2-222000002-22-22-20000000000000000002-20000002-22-2000000000000002-20000
χ462-22-222-22-2-2-2-2222-22-22-200-2-222000002-22-22-20000000000000000002-2000000-22-2200000000000000-220000
χ472-22-222-22-2-2-2-222-222-22-200-2-22200000-22-222-2000000000000000000-220000002-22-200000000000000-220000
χ482-22-222-22-2-2-2-222-222-22-200-2-22200000-22-222-2000000000000000000-22000000-22-22000000000000002-20000
χ4944444-2-4-44-24-24-200-2-2-2-200-42-420044000002200000000-40000000-2-200000000000000000020000000000000
χ5044444-2-4-44-24-24-200-2-2-2-200-42-4200-4-40000022000000004000000022000000000000000000-20000000000000
χ514444-24-4-4-24-24-2400-2-2-2-2002-42-444000000022000000000-4-2-200000000000000000000000002000000000000
χ524444-24-4-4-24-24-2400-2-2-2-2002-42-4-4-40000000220000000004220000000000000000000000000-2000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000011-2-21100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000001122-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-211110000000000-1-122-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-1-1-2-21100000000000000000000000000
χ5744-4-44-2004-2-42-4200-2-222−2i22i20000004i−4i0000000−2i22i2i2−i2i2i2−i2−i200000022−22−2i2i000000000000000000000000−22000000
χ5844-4-44-2004-2-42-4200-2-222−2i22i2000000−4i4i0000000−2i22i2i2−i2i2i2−i2−i2000000−22222i−2i0000000000000000000000002−2000000
χ5944-4-44-2004-2-42-4200-2-2222i2−2i20000004i−4i00000002i2−2i2−i2i2−i2−i2i2i2000000−2222−2i2i0000000000000000000000002−2000000
χ6044-4-44-2004-2-42-4200-2-2222i2−2i2000000−4i4i00000002i2−2i2−i2i2−i2−i2i2i200000022−222i−2i000000000000000000000000−22000000
χ6144-4-4-2400-242-42-400-2-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200-22−2i22i200000000000000000000000000i2−i200000000
χ6244-4-4-2400-242-42-400-2-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002-22i2−2i200000000000000000000000000−i2i200000000
χ6344-4-4-2400-242-42-400-2-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200-222i2−2i200000000000000000000000000−i2i200000000
χ6444-4-4-2400-242-42-400-2-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i2002-2−2i22i200000000000000000000000000i2−i200000000
χ654-44-4444-4-4-4-4-444004-44-40044-4-4000000000-4400000000000000000000000000000000000000000000000000
χ664-44-44-24-4-42-424-200-22-22004-2-420000000002-200000000000000000000000000000000000000−2i32i30000000000
χ674-44-44-24-4-42-424-200-22-22004-2-420000000002-2000000000000000000000000000000000000002i3−2i30000000000
χ684-44-44-2-44-42-424-24-4-22-2200-424-2000004-4-22-22000000000000000000-22000000000000000000000000000000
χ694-44-44-2-44-42-424-2-44-22-2200-424-200000-442-2-220000000000000000002-2000000000000000000000000000000
χ704-44-4-244-42-42-4-2400-22-2200-242-40000000002-20000000000000000000000000000000000−2i32i300000000000000
χ714-44-4-244-42-42-4-2400-22-2200-242-40000000002-200000000000000000000000000000000002i3−2i300000000000000
χ724-44-4-24-442-42-4-244-4-22-22002-4-2400000-224-4-22000000000000000000-22000000000000000000000000000000
χ734-44-4-24-442-42-4-24-44-22-22002-4-24000002-2-44-220000000000000000002-2000000000000000000000000000000
χ744-44-4-2-2-442222-2-24-41-11-10022-2-200000-22-221-100003i−3i3i−3i00000000001-1003i−3i00000000000000000000000000
χ754-44-4-2-2-442222-2-24-41-11-10022-2-200000-22-221-10000−3i3i−3i3i00000000001-100−3i3i00000000000000000000000000
χ764-44-4-2-2-442222-2-2-441-11-10022-2-2000002-22-21-100003i−3i3i−3i0000000000-1100−3i3i00000000000000000000000000
χ774-44-4-2-2-442222-2-2-441-11-10022-2-2000002-22-21-10000−3i3i−3i3i0000000000-11003i−3i00000000000000000000000000
χ784-4-444400-4-444-4-4004-4-44000000000000000000000000000000000000000000022−22−222200000000000000000000
χ794-4-444400-4-444-4-4004-4-440000000000000000000000000000000000000000000−222222−2200000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ838-88-8-4-48-84444-4-4002-22-200-4-444000000000-2200000000000000000000000000000000000000000000000000
χ848-8-888-400-848-4-8400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-484-800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-444002-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ878-8-88-4-40044-4-444002-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000

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