Finite Group Databasebeta

← Group #11887388

Character table — Group #11887388

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order12223344666666223666881212121244444666612122424242424242424248888121212126612121212228888244461212121212242424244446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111-111-1-111-1-1111111-1-1-1-1-1-11-11-11-111-1-111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-11-1-111-1-111111111-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-111-11-111-1-1-1-111-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111111-1-11-11-1-11111-1-1-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-111-111
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-111-1111-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-111111-1-111-1-1-111-1-111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11111-111-1-1111-1-111-1-1-1-1-1-111
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111111-1-1-1
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000-2-2000022220000002200000000-2-200000000-200000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-22000022-2-2000000-2-200000000-2200000000200000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-2000000002-20000-2-222000000-2-2000000002-200000000200000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-200000000220000-2-2-2-200000022000000002200000000-200000
χ2122222-122-12-12-1222-1-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-1202200-1-100-1-1-12-1-10000002020-10-1-100-1-100000-100
χ2222222-122-12-12-1222-1-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-1-20-2-2001100-1-1-12-1-1000000-20-201011001100000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-122200-222-1-1-1-111-2-2111120-2-200-1-100-1-11-211000000-2020-10-1-1001100000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-21111-2022001100-1-11-21100000020-20101100-1-100000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-1202200-1-100111-211000000-20-20-101100-1-100000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-1-20-2-2001100111-211000000202010-1-1001100000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-1222002-2-211-1-111-2-2111120-2-200-1-10011-12-1-100000020-20-1011001100000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-21111-202200110011-12-1-1000000-202010-1-100-1-100000100
χ292222-12222-12-12-122-1-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-102002200-1-1-1-12-1-1-100000002020-100-1-100-1-10000-10
χ302222-12222-12-12-122-1-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10-200-2-20011-1-12-1-1-10000000-20-20100110011000010
χ312222-12222-12-12-122-1-1-1-1-2-2-122-10022-2-1-122-1-1-2-21111110200-2-200-1-1-1-1-21110000000-2020-100-1-10011000010
χ322222-12222-12-12-122-1-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110-200220011-1-1-2111000000020-201001100-1-10000-10
χ332222-12222-12-12-1-2-2-1-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-102002200-1-111-21110000000-20-20-1001100-1-1000010
χ342222-12222-12-12-1-2-2-1-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10-200-2-2001111-211100000002020100-1-100110000-10
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-10022211-2-2-1-1-2-21111110200-2-200-1-1112-1-1-1000000020-20-1001100110000-10
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110-200220011112-1-1-10000000-2020100-1-100-1-1000010
χ3722-2-222002-2-22-2-20022-2-2−i2i200002i−2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2002−22−22i−2i2i−2i0000002-2−i2−i2i2i200000000002−22−2000000
χ3822-2-222002-2-22-2-20022-2-2−i2i200002i−2i−2i2i0000000−i2i2−i2i2−i2−i2i2i2002−2−222i−2i−2i2i000000-22i2i2−i2−i200000000002−2−22000000
χ3922-2-222002-2-22-2-20022-2-2−i2i20000−2i2i2i−2i0000000−i2i2−i2i2−i2−i2i2i200−222−2−2i2i2i−2i000000-22i2i2−i2−i20000000000−222−2000000
χ4022-2-222002-2-22-2-20022-2-2−i2i20000−2i2i−2i2i0000000−i2i2−i2i2−i2−i2i2i200−22−22−2i2i−2i2i0000002-2−i2−i2i2i20000000000−22−22000000
χ4122-2-222002-2-22-2-20022-2-2i2−i200002i−2i2i−2i0000000i2−i2i2−i2i2i2−i2−i200−22−222i−2i2i−2i0000002-2i2i2−i2−i20000000000−22−22000000
χ4222-2-222002-2-22-2-20022-2-2i2−i200002i−2i−2i2i0000000i2−i2i2−i2i2i2−i2−i200−222−22i−2i−2i2i000000-22−i2−i2i2i20000000000−222−2000000
χ4322-2-222002-2-22-2-20022-2-2i2−i20000−2i2i2i−2i0000000i2−i2i2−i2i2i2−i2−i2002−2−22−2i2i2i−2i000000-22−i2−i2i2i200000000002−2−22000000
χ4422-2-222002-2-22-2-20022-2-2i2−i20000−2i2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2002−22−2−2i2i−2i2i0000002-2i2i2−i2−i200000000002−22−2000000
χ452-22-2222-2-22-2-22-22-22-22-2002-22-2000002-22-22-20000000000000000002-20000002i−2i2i−2i0000000000000002i−2i000
χ462-22-2222-2-22-2-22-22-22-22-2002-22-2000002-22-22-20000000000000000002-2000000−2i2i−2i2i000000000000000−2i2i000
χ472-22-2222-2-22-2-22-2-222-22-2002-22-200000-22-222-2000000000000000000-220000002i−2i2i−2i000000000000000−2i2i000
χ482-22-2222-2-22-2-22-2-222-22-2002-22-200000-22-222-2000000000000000000-22000000−2i2i−2i2i0000000000000002i−2i000
χ4944444-2-4-4-24-24-2400-2-2-2-200-422-44400000002200000000-400000-2-20000000000000000002000000000000000
χ5044444-2-4-4-24-24-2400-2-2-2-200-422-4-4-40000000220000000040000022000000000000000000-2000000000000000
χ514444-24-4-44-24-24-200-2-2-2-2002-4-4200440000022000000000-4000000-2-200000000000000000200000000000000
χ524444-24-4-44-24-24-200-2-2-2-2002-4-4200-4-4000002200000000040000002200000000000000000-200000000000000
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
χ5744-4-44-200-2-4242-400-2-222−2i22i200004i−4i000000000i2−i2−2i22i2i2i2−i2−i20022−2200−2i2i000000000000000000000000−2200000000
χ5844-4-44-200-2-4242-400-2-222−2i22i20000−4i4i000000000i2−i2−2i22i2i2i2−i2−i200−2222002i−2i0000000000000000000000002−200000000
χ5944-4-44-200-2-4242-400-2-2222i2−2i200004i−4i000000000−i2i22i2−2i2−i2−i2i2i200−222200−2i2i0000000000000000000000002−200000000
χ6044-4-44-200-2-4242-400-2-2222i2−2i20000−4i4i000000000−i2i22i2−2i2−i2−i2i2i20022−22002i−2i000000000000000000000000−2200000000
χ6144-4-4-240042-4-2-4200-2-222−2i22i20000004i−4i0000000−2i22i2i2−i2i2i2−i2−i2000022−2200−2i2i000000000000000000000000−22000000
χ6244-4-4-240042-4-2-4200-2-222−2i22i2000000−4i4i0000000−2i22i2i2−i2i2i2−i2−i20000−2222002i−2i0000000000000000000000002−2000000
χ6344-4-4-240042-4-2-4200-2-2222i2−2i20000004i−4i00000002i2−2i2−i2i2−i2−i2i2i20000−222200−2i2i0000000000000000000000002−2000000
χ6444-4-4-240042-4-2-4200-2-2222i2−2i2000000−4i4i00000002i2−2i2−i2i2−i2−i2i2i2000022−22002i−2i000000000000000000000000−22000000
χ654-44-444-44-44-4-44-4004-44-400-44-44000000000-4400000000000000000000000000000000000000000000000000
χ664-44-44-24-4242-4-2-44-4-22-220042-2-4000004-4-22-22000000000000000000-22000000000000000000000000000000
χ674-44-44-24-4242-4-2-4-44-22-220042-2-400000-442-2-220000000000000000002-2000000000000000000000000000000
χ684-44-44-2-44242-4-2-400-22-2200-4-2240000000002-2000000000000000000000000000000000000−2i32i3000000000000
χ694-44-44-2-44242-4-2-400-22-2200-4-2240000000002-20000000000000000000000000000000000002i3−2i3000000000000
χ704-44-4-244-4-4-2-42424-4-22-2200-2-44200000-224-4-22000000000000000000-22000000000000000000000000000000
χ714-44-4-244-4-4-2-4242-44-22-2200-2-442000002-2-44-220000000000000000002-2000000000000000000000000000000
χ724-44-4-24-44-4-2-424200-22-220024-4-20000000002-20000000000000000000000000000000000000023−230000000000
χ734-44-4-24-44-4-2-424200-22-220024-4-20000000002-200000000000000000000000000000000000000−23230000000000
χ744-44-4-2-24-42-222-224-41-11-100-22-2200000-22-221-100003i−3i3i−3i00000000001-1003i−3i00000000000000000000000000
χ754-44-4-2-24-42-222-224-41-11-100-22-2200000-22-221-10000−3i3i−3i3i00000000001-100−3i3i00000000000000000000000000
χ764-44-4-2-24-42-222-22-441-11-100-22-22000002-22-21-100003i−3i3i−3i0000000000-1100−3i3i00000000000000000000000000
χ774-44-4-2-24-42-222-22-441-11-100-22-22000002-22-21-10000−3i3i−3i3i0000000000-11003i−3i00000000000000000000000000
χ784-4-444400-4-44-4-44004-4-44000000000000000000000000000000000000000000022−22−222200000000000000000000
χ794-4-444400-4-44-4-44004-4-440000000000000000000000000000000000000000000−222222−2200000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-4440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ838-88-8-4-4-884-444-44002-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000
χ848-8-888-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-4002-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-4002-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000

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