Finite Group Databasebeta

← Group #11870506

Character table — Group #11870506

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666662236668812121212224446666121224242424242424244444224444668888121266121212124444661212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-11-1-111-1-111-1-1111111-1-1-1111-1-11-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-11-111-1-111-1-111111111-1-11-1-1-111-11-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-1-1-11-111-1-11-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-11-1-1111-1-1-11111111-1-1
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-11-111-1-1-1111-1-11111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-2222200000-2-200000000222200-2-20022000022000000-2-2000000-2-200000000000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-2-2-2-2002-200220000-2-200000022000000-2200000000000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-2-2-2-200-2200-2-2000022000000220000002-200000000000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-2000000002222002200-2-20000-2-2000000-2-20000002200000000000
χ2122222-122-12-12-1222-1-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000220200-1-1002200-1-1-12-1-10002-1-100-10-1-1000000-100
χ2222222-122-12-12-1222-1-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10000-2-20-2001100-2-200-1-1-12-1-1000-211001011000000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-122200-222-1-1-1-111-2-211110000220200-1-100-2-200-1-11-211000-2-1-100-1011000000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110000-2-20-20011002200-1-11-2110002110010-1-1000000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-10000-2-20200-1-1002200111-211000-21100-10-1-1000000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10000220-2001100-2-200111-2110002-1-1001011000000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-1222002-2-211-1-111-2-211110000-2-20200-1-100-2-20011-12-1-100021100-1011000000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110000220-2001100220011-12-1-1000-2-1-10010-1-1000000100
χ292222-12222-12-12-122-1-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-10000002022002200-1-1-1-12-1-1-1002000-1-10-100-1-100000-10
χ302222-12222-12-12-122-1-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-1000000-20-2-200-2-20011-1-12-1-1-100-2000110100110000010
χ312222-12222-12-12-122-1-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111000000202200-2-200-1-1-1-1-211100-2000-1-10-100110000010
χ322222-12222-12-12-122-1-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-2111111000000-20-2-200220011-1-1-2111002000110100-1-100000-10
χ332222-12222-12-12-1-2-2-1-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-100000020-2-2002200-1-111-211100-2000110-100-1-10000010
χ342222-12222-12-12-1-2-2-1-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-1000000-202200-2-2001111-2111002000-1-101001100000-10
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-10022211-2-2-1-1-2-211111100000020-2-200-2-200-1-1112-1-1-1002000110-1001100000-10
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-2111111000000-202200220011112-1-1-100-2000-1-10100-1-10000010
χ372-22-2222-2-22-2-22-2002-22-200-22-22000000000-22000000002i2i−2i−2i2-2002i−2i000000000000002i−2i002-22i−2i0000000000000
χ382-22-2222-2-22-2-22-2002-22-200-22-22000000000-22000000002i2i−2i−2i-2200−2i2i000000000000002i−2i00-22−2i2i0000000000000
χ392-22-2222-2-22-2-22-2002-22-200-22-22000000000-2200000000−2i−2i2i2i2-200−2i2i00000000000000−2i2i002-2−2i2i0000000000000
χ402-22-2222-2-22-2-22-2002-22-200-22-22000000000-2200000000−2i−2i2i2i-22002i−2i00000000000000−2i2i00-222i−2i0000000000000
χ412-22-222-22-22-2-22-22-22-22-2002-22-2000002-22-22-2000000002i2i−2i−2i000000000000002-20000−2i2i0000000000002i−2i00000
χ422-22-222-22-22-2-22-22-22-22-2002-22-2000002-22-22-200000000−2i−2i2i2i000000000000002-200002i−2i000000000000−2i2i00000
χ432-22-222-22-22-2-22-2-222-22-2002-22-200000-22-222-2000000002i2i−2i−2i00000000000000-220000−2i2i000000000000−2i2i00000
χ442-22-222-22-22-2-22-2-222-22-2002-22-200000-22-222-200000000−2i−2i2i2i00000000000000-2200002i−2i0000000000002i−2i00000
χ452-2-2222002-2-22-2-20022-2-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i22-22-20000002-2i2−i2i2−i22-20000000000000000i2−i2i2−i200i2−i2000
χ462-2-2222002-2-22-2-20022-2-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2-22-220000002-2−i2i2i2−i2-220000000000000000i2−i2−i2i200−i2i2000
χ472-2-2222002-2-22-2-20022-2-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i2-22-22000000-22i2−i2−i2i22-20000000000000000−i2i2i2−i200−i2i2000
χ482-2-2222002-2-22-2-20022-2-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i22-22-2000000-22−i2i2−i2i2-220000000000000000−i2i2−i2i200i2−i2000
χ492-2-2222002-2-22-2-20022-2-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i22-22-20000002-2−i2i2−i2i22-20000000000000000−i2i2−i2i200−i2i2000
χ502-2-2222002-2-22-2-20022-2-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2-22-220000002-2i2−i2−i2i2-220000000000000000−i2i2i2−i200i2−i2000
χ512-2-2222002-2-22-2-20022-2-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i2-22-22000000-22−i2i2i2−i22-20000000000000000i2−i2−i2i200i2−i2000
χ522-2-2222002-2-22-2-20022-2-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i22-22-2000000-22i2−i2i2−i2-220000000000000000i2−i2i2−i200−i2i2000
χ5344444-2-4-4-24-24-2400-2-2-2-200-422-444000000022000000000000000-400-2-2000000000000000000002000000000000
χ5444444-2-4-4-24-24-2400-2-2-2-200-422-4-4-40000000220000000000000004002200000000000000000000-2000000000000
χ554444-24-4-44-24-24-200-2-2-2-2002-4-420044000002200000000000000-4000000000-2-2000000000000000200000000000
χ564444-24-4-44-24-24-200-2-2-2-2002-4-4200-4-4000002200000000000000400000000022000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-2111100000000000000000011-2-211000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000001122-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-21111000000000000000000-1-122-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-1-1-2-211000000000000000000000
χ6144-4-44400-4-44-4-44004-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ6244-4-44400-4-44-4-44004-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-44-44-24-4242-4-2-400-22-2200-4-2240000000002-20000000000004-40000000000000000000000-22000000000000000
χ644-44-44-24-4242-4-2-400-22-2200-4-2240000000002-2000000000000-4400000000000000000000002-2000000000000000
χ654-44-44-2-44242-4-2-44-4-22-220042-2-4000004-4-22-2200000000000000000000000000-220000000000000000000000000
χ664-44-44-2-44242-4-2-4-44-22-220042-2-400000-442-2-22000000000000000000000000002-20000000000000000000000000
χ674-44-4-244-4-4-2-424200-22-220024-4-20000000002-200000000000000004i−4i00000000000000000000−2i2i0000000000000
χ684-44-4-244-4-4-2-424200-22-220024-4-20000000002-20000000000000000−4i4i000000000000000000002i−2i0000000000000
χ694-44-4-24-44-4-2-42424-4-22-2200-2-44200000-224-4-2200000000000000000000000000-220000000000000000000000000
χ704-44-4-24-44-4-2-4242-44-22-2200-2-442000002-2-44-22000000000000000000000000002-20000000000000000000000000
χ714-44-4-2-2-442-222-224-41-11-100-22-2200000-22-221-100003i−3i3i−3i0000000000000000001-1003i−3i000000000000000000000
χ724-44-4-2-2-442-222-224-41-11-100-22-2200000-22-221-10000−3i3i−3i3i0000000000000000001-100−3i3i000000000000000000000
χ734-44-4-2-2-442-222-22-441-11-100-22-22000002-22-21-100003i−3i3i−3i000000000000000000-1100−3i3i000000000000000000000
χ744-44-4-2-2-442-222-22-441-11-100-22-22000002-22-21-10000−3i3i−3i3i000000000000000000-11003i−3i000000000000000000000
χ754-4-444-200-2-4242-400-2-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i20000000000-22002i2−2i2000000000000000000−i2i2000000000
χ764-4-444-200-2-4242-400-2-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200000000002-200−2i22i2000000000000000000i2−i2000000000
χ774-4-444-200-2-4242-400-2-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000-2200−2i22i2000000000000000000i2−i2000000000
χ784-4-444-200-2-4242-400-2-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002-2002i2−2i2000000000000000000−i2i2000000000
χ794-4-44-240042-4-2-4200-2-2222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i20000000000002i2−2i200-22000000000000000000−i2i20000000
χ804-4-44-240042-4-2-4200-2-2222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i2000000000000−2i22i2002-2000000000000000000i2−i20000000
χ814-4-44-240042-4-2-4200-2-222−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000000000−2i22i200-22000000000000000000i2−i20000000
χ824-4-44-240042-4-2-4200-2-222−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000000000002i2−2i2002-2000000000000000000−i2i20000000
χ838888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-444-4002-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-444-4002-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ888-88-8-4-48-84-444-44002-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-444-4440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-444-4440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000

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