Finite Group Databasebeta

← Group #11866683

Character table — Group #11866683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order12223344666666888836661212121224242424242424242222444488888888241212242424242222666612121212242424242424242466661212121244888844441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-11-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-111-1-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-1-111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111111-1-111-1-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-11-11-11-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-11-11-11-1-11
χ17222222-2-222222200002222-2-2-2-2000000002222-2-2-2-20000000000-2-2000022222222-2-2-2-20000000000000000-2-200000000000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-2-2-2220000000000-2-20000-2-2-2-222-2-2-2-22200000000000000002200000000000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22222-2-20000000000-2-20000-2-2-2-2-2-22222-2-200000000000000002200000000000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-222220000000000-2-200002222-2-2-2-222220000000000000000-2-200000000000000
χ2122222-122222-1-1-12222-1-1-1-12-12-12222-1-1-1-1002200220000222222-1-1-1-1-1-1000000-1-100-1-10000-1-1-1-12-1-1-12-1-1-1000000002200-1-100
χ2222222-122222-1-1-12222-1-1-1-12-12-12222-1-1-1-10022002200002222-2-2-1-1-1-1-1-1000000-1-100-1-10000-1-1-1-1-2111-211100000000-2-2001100
χ2322222-122222-1-1-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-222-1-1-1-1-1-1000000110011000011112-1-1-12-1-1-100000000-2-2001100
χ2422222-122222-1-1-12222-1-1-1-12-12-12222-1-1-1-100-2-200-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000011001100001111-2111-2111000000002200-1-100
χ2522222-122222-1-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-22-2-1-11111000000-1-100-1-1000011112-1-1-1-2111000000002-200-1100
χ2622222-122222-1-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111002200220000-2-2-2-2-22-1-11111000000-1-100-1-100001111-21112-1-1-100000000-22001-100
χ2722222-122222-1-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-2000022222-2-1-111110000001100110000-1-1-1-12-1-1-1-211100000000-22001-100
χ2822222-122222-1-1-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100-2-200-2-200002222-22-1-111110000001100110000-1-1-1-1-21112-1-1-1000000002-200-1100
χ292222-1222-1-1-12222222-1-1-1-1-12-12-1-1-1-12222220022002222000022-1-1-1-1-1-10000-1-100-1-100-1-1-1-10000-12-1-1-12-1-10000002200-1-10000
χ302222-1222-1-1-12222222-1-1-1-1-12-12-1-1-1-122222200220022220000-2-2-1-1-1-1-1-10000-1-100-1-100-1-1-1-100001-2111-211000000-2-200110000
χ312222-1222-1-1-12222222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-2000022-1-1-1-1-1-100001100110011110000-12-1-1-12-1-1000000-2-200110000
χ322222-1222-1-1-12222222-1-1-1-1-12-12-1-1-1-12222-2-200-2-200-2-2-2-20000-2-2-1-1-1-1-1-1000011001100111100001-2111-2110000002200-1-10000
χ332222-1222-1-1-1222-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-200002-2-1-111110000-1-100-1-10011110000-12-1-11-2110000002-200-110000
χ342222-1222-1-1-1222-2-2-2-2-1-1-1-1-12-121111-2-2-2-222002200-2-2-2-20000-22-1-111110000-1-100-1-100111100001-211-12-1-1000000-22001-10000
χ352222-1222-1-1-1222-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-2-200222200002-2-1-11111000011001100-1-1-1-10000-12-1-11-211000000-22001-10000
χ362222-1222-1-1-1222-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-200-2-20022220000-22-1-11111000011001100-1-1-1-100001-211-12-1-10000002-200-110000
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χ3822-2-222002-2-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i200002i−2i−2i2i22−2−2−2−2220000i2i2−i2−i2-2-22200002i−2i−2i2i22−2−2−2−2220000000000−i2−i2i2i20000000000
χ3922-2-222002-2-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i20000−2i2i2i−2i−2−22222−2−20000i2i2−i2−i2-2-2220000−2i2i2i−2i−2−22222−2−20000000000−i2−i2i2i20000000000
χ4022-2-222002-2-22-2-2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i−2−222−2−2220000i2i2−i2−i222-2-20000−2i2i−2i2i−2−222−2−2220000000000i2i2−i2−i20000000000
χ4122-2-222002-2-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i−2−222−2−2220000−i2−i2i2i222-2-200002i−2i2i−2i−2−222−2−2220000000000−i2−i2i2i20000000000
χ4222-2-222002-2-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i200002i−2i−2i2i−2−22222−2−20000−i2−i2i2i2-2-22200002i−2i−2i2i−2−22222−2−20000000000i2i2−i2−i20000000000
χ4322-2-222002-2-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i20000−2i2i2i−2i22−2−2−2−2220000−i2−i2i2i2-2-2220000−2i2i2i−2i22−2−2−2−2220000000000i2i2−i2−i20000000000
χ4422-2-222002-2-22-2-2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i22−2−222−2−20000−i2−i2i2i222-2-20000−2i2i−2i2i22−2−222−2−20000000000−i2−i2i2i20000000000
χ452-22-22200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i20000i2−i2i2−i22-22-22-22-20000i2−i2i2−i2i2−i2i2−i20000000000i2−i2i2−i20000000000
χ462-22-22200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i22-2-220000i2−i2i2−i2−i2i2−i2i20000i2−i2i2−i2-22-222-2-220000i2−i2i2−i2−i2i2−i2i20000000000−i2i2−i2i20000000000
χ472-22-22200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2-222-20000−i2i2−i2i2i2−i2i2−i20000i2−i2i2−i2-22-22-222-20000−i2i2−i2i2i2−i2i2−i20000000000−i2i2−i2i20000000000
χ482-22-22200-22-2-22-2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2-22-220000−i2i2−i2i2−i2i2−i2i20000i2−i2i2−i22-22-2-22-220000−i2i2−i2i2−i2i2−i2i20000000000i2−i2i2−i20000000000
χ492-22-22200-22-2-22-2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i20000−i2i2−i2i22-22-22-22-20000−i2i2−i2i2−i2i2−i2i20000000000−i2i2−i2i20000000000
χ502-22-22200-22-2-22-2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i22-2-220000−i2i2−i2i2i2−i2i2−i20000−i2i2−i2i2-22-222-2-220000−i2i2−i2i2i2−i2i2−i20000000000i2−i2i2−i20000000000
χ512-22-22200-22-2-22-2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2-222-20000i2−i2i2−i2−i2i2−i2i20000−i2i2−i2i2-22-22-222-20000i2−i2i2−i2−i2i2−i2i20000000000i2−i2i2−i20000000000
χ522-22-22200-22-2-22-2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2-22-220000i2−i2i2−i2i2−i2i2−i20000−i2i2−i2i22-22-2-22-220000i2−i2i2−i2i2−i2i2−i20000000000−i2i2−i2i20000000000
χ532-2-22222-2-2-22-2-2200002-2-2222-2-200000000000000002i−2i−2i2i2i−2i−2i2i002-200002-2-22000000002i−2i−2i2i2i−2i−2i2i000000002-200000000000000
χ542-2-22222-2-2-22-2-2200002-2-2222-2-200000000000000002i−2i−2i2i−2i2i2i−2i002-20000-222-2000000002i−2i−2i2i−2i2i2i−2i00000000-2200000000000000
χ552-2-22222-2-2-22-2-2200002-2-2222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i002-20000-222-200000000−2i2i2i−2i2i−2i−2i2i00000000-2200000000000000
χ562-2-22222-2-2-22-2-2200002-2-2222-2-20000000000000000−2i2i2i−2i−2i2i2i−2i002-200002-2-2200000000−2i2i2i−2i−2i2i2i−2i000000002-200000000000000
χ572-2-2222-22-2-22-2-222-2-222-2-22-2-2222-2-222-2-22000000000000000000-222-2-222-2-22000000000000000000000000-222-2-220000000000
χ582-2-2222-22-2-22-2-222-2-222-2-22-2-2222-2-222-2-22000000000000000000-222-2-22-222-20000000000000000000000002-2-222-20000000000
χ592-2-2222-22-2-22-2-22-222-22-2-22-2-222-222-2-222-2000000000000000000-22-222-22-2-22000000000000000000000000-22-222-20000000000
χ602-2-2222-22-2-22-2-22-222-22-2-22-2-222-222-2-222-2000000000000000000-22-222-2-222-20000000000000000000000002-22-2-220000000000
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χ684444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000000000000000-4411-1-1-1-10000000000000000000022-1-1-2-2110000000000000000
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χ7544-4-4-2400-2224-4-4−2i2−2i22i22i2-2-2220000i2i2−i2−i2−2i2−2i22i22i200004i−4i00−22−22222200000000i2i2−i2−i200000000−2i2i0022−2−20000000000000000000000000000
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χ794-44-44-200-44-42-22−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i2004-400000000−2i22i2−2i22i20000i2−i2i2−i2000000-2200000000i2−i2i2−i2000000000000000000000000
χ804-44-44-200-44-42-22−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i200-44000000002i2−2i22i2−2i20000i2−i2i2−i20000002-200000000−i2i2−i2i2000000000000000000000000
χ814-44-4-24002-22-44-42i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i24-40000002i2−2i22i2−2i200000000−i2i2−i2i20000-22000000−i2i2−i2i20000000000000000000000000000
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χ844-44-4-24002-22-44-4−2i22i2−2i22i2-22-220000i2−i2i2−i2−2i22i2−2i22i2-440000002i2−2i22i2−2i200000000i2−i2i2−i200002-2000000−i2i2−i2i20000000000000000000000000000
χ854-4-444-24-4-4-4422-20000-222-24-2-42000000000000000000004i−4i−4i4i00-2200000000000000000000−2i2i2i−2i000000000000000000000000
χ864-4-444-24-4-4-4422-20000-222-24-2-4200000000000000000000−4i4i4i−4i00-22000000000000000000002i−2i−2i2i000000000000000000000000
χ874-4-444-2-44-4-4422-24-4-44-222-2-424-24-4-44-222-20000000000000000002-2-222-200000000000000000000000000000000000000000000
χ884-4-444-2-44-4-4422-2-444-4-222-2-424-2-444-42-2-220000000000000000002-22-2-2200000000000000000000000000000000000000000000
χ894-4-44-244-422-2-4-440000-222-2-242-400000000000000004i−4i−4i4i000000-220000000000000000−2i2i2i−2i0000000000000000000000000000
χ904-4-44-244-422-2-4-440000-222-2-242-40000000000000000−4i4i4i−4i000000-2200000000000000002i−2i−2i2i0000000000000000000000000000
χ914-4-44-24-4422-2-4-444-4-44-222-22-4-24-222-24-4-440000000000000000002-2-222-200000000000000000000000000000000000000000000
χ924-4-44-24-4422-2-4-44-444-4-222-22-4-242-2-22-444-40000000000000000002-22-2-2200000000000000000000000000000000000000000000
χ934-4-44-2-2-4422-222-24-4-441-1-1122-2-2-222-2-222-2000000000000000000-111-1-1100000000000000000000003-3003-30000000000000000
χ944-4-44-2-2-4422-222-24-4-441-1-1122-2-2-222-2-222-2000000000000000000-111-1-110000000000000000000000-3300-330000000000000000
χ954-4-44-2-2-4422-222-2-444-41-1-1122-2-22-2-222-2-22000000000000000000-11-111-100000000000000000000003-300-330000000000000000
χ964-4-44-2-2-4422-222-2-444-41-1-1122-2-22-2-222-2-22000000000000000000-11-111-10000000000000000000000-33003-30000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-400-444-4444i24i2−4i2−4i222-2-20000−2i2−2i22i22i2−2i2−2i22i22i200000000000000000000i2i2−i2−i200000000000000000000000000000000000000000000
χ9988-8-8-4-400-444-444−4i2−4i24i24i222-2-200002i22i2−2i2−2i22i22i2−2i2−2i200000000000000000000−i2−i2i2i200000000000000000000000000000000000000000000
χ1008-88-8-4-4004-444-444i2−4i24i2−4i22-22-20000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000000000000000000000000000000000000000
χ1018-88-8-4-4004-444-44−4i24i2−4i24i22-22-200002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000000000000000000000000000000000000000
χ1028-8-88-4-48-844-444-400002-2-22-4-444000000000000000000000000002-2000000000000000000000000000000000000000000000000

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