Finite Group Databasebeta

← Group #11874264

Character table — Group #11874264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222224444444444444444666666666666666688888888999912121212121212121212121212121212161616161616161618181818181824242424484848487272
order12223344666666888836661212121224242424242424244444444488888888221212242424242222121212121212121224242424242424246666666644888844441212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
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
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-11-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-111-1-111-11-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111111-1-111-1-111-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-11-11-11-111-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11-11-11-11-1-11
χ17222222-2-222222200002222-2-2-2-20000000022-2-222-2-20000000000-2-20000222222-2-222-2-20000000000000000-2-200000000000000
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
χ20222222-2-222222200002222-2-2-2-200000000-2-222-2-2220000000000-2-200002222-2-222-2-2220000000000000000-2-200000000000000
χ2122222-12222-1-12-12222-1-1-1-12-12-12222-1-1-1-1000022220000222222-1-1-1-1-1-100000000-1-1-1-10000-1-1-1-12-12-1-1-1-1-1000000002200-1-100
χ2222222-12222-1-12-12222-1-1-1-12-12-12222-1-1-1-10000222200002222-2-2-1-1-1-1-1-100000000-1-1-1-10000-1-1-1-1-21-21111100000000-2-2001100
χ2322222-12222-1-12-12222-1-1-1-12-12-12222-1-1-1-10000-2-2-2-20000-2-2-2-222-1-1-1-1-1-1000000001111000011112-12-1-1-1-1-100000000-2-2001100
χ2422222-12222-1-12-12222-1-1-1-12-12-12222-1-1-1-10000-2-2-2-20000-2-2-2-2-2-2-1-1-1-1-1-100000000111100001111-21-211111000000002200-1-100
χ2522222-12222-1-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111000022220000-2-2-2-22-2-1-1111100000000-1-1-1-1000011112-1-21-1-111000000002-200-1100
χ2622222-12222-1-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111000022220000-2-2-2-2-22-1-1111100000000-1-1-1-100001111-212-111-1-100000000-22001-100
χ2722222-12222-1-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211110000-2-2-2-2000022222-2-1-111110000000011110000-1-1-1-12-1-21-1-11100000000-22001-100
χ2822222-12222-1-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211110000-2-2-2-200002222-22-1-111110000000011110000-1-1-1-1-212-111-1-1000000002-200-1100
χ292222-1222-1-122-122222-1-1-1-1-12-12-1-1-1-12222222200002222000022-1-1-1-1-1-10000-1-1-1-10000-1-1-1-10000-12-12-1-1-1-10000002200-1-10000
χ302222-1222-1-122-122222-1-1-1-1-12-12-1-1-1-122222222000022220000-2-2-1-1-1-1-1-10000-1-1-1-10000-1-1-1-100001-21-21111000000-2-200110000
χ312222-1222-1-122-122222-1-1-1-1-12-12-1-1-1-12222-2-2-2-20000-2-2-2-2000022-1-1-1-1-1-100001111000011110000-12-12-1-1-1-1000000-2-200110000
χ322222-1222-1-122-122222-1-1-1-1-12-12-1-1-1-12222-2-2-2-20000-2-2-2-20000-2-2-1-1-1-1-1-1000011110000111100001-21-211110000002200-1-10000
χ332222-1222-1-122-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222220000-2-2-2-200002-2-1-111110000-1-1-1-1000011110000-121-2-1-1110000002-200-110000
χ342222-1222-1-122-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-222220000-2-2-2-20000-22-1-111110000-1-1-1-10000111100001-2-1211-1-1000000-22001-10000
χ352222-1222-1-122-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2-2-20000222200002-2-1-11111000011110000-1-1-1-10000-121-2-1-111000000-22001-10000
χ362222-1222-1-122-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2-2-2000022220000-22-1-11111000011110000-1-1-1-100001-2-1211-1-10000002-200-110000
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χ3822-2-222002-22-2-2-222−2−222-2-2000022−2−222−2−2002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i2000022−2−2-2-222002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i20000000000−2−2220000000000
χ3922-2-222002-22-2-2-222−2−222-2-2000022−2−222−2−200−2i2i002i−2i−i2−i2i2i2i2i2−i2−i2000022−2−2-2-22200−2i2i002i−2i−i2−i2i2i2i2i2−i2−i20000000000−2−2220000000000
χ4022-2-222002-22-2-2-222−2−222-2-2000022−2−222−2−200−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2000022−2−222-2-200−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2000000000022−2−20000000000
χ4122-2-222002-22-2-2-2−2−22222-2-20000−2−222−2−222002i−2i002i−2i−i2−i2i2i2−i2−i2i2i20000−2−22222-2-2002i−2i002i−2i−i2−i2i2i2−i2−i2i2i20000000000−2−2220000000000
χ4222-2-222002-22-2-2-2−2−22222-2-20000−2−222−2−222002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i20000−2−222-2-222002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i2000000000022−2−20000000000
χ4322-2-222002-22-2-2-2−2−22222-2-20000−2−222−2−22200−2i2i002i−2ii2i2−i2−i2−i2−i2i2i20000−2−222-2-22200−2i2i002i−2ii2i2−i2−i2−i2−i2i2i2000000000022−2−20000000000
χ4422-2-222002-22-2-2-2−2−22222-2-20000−2−222−2−22200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i20000−2−22222-2-200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i20000000000−2−2220000000000
χ452-22-22200-22-22-2-22−22−22-22-200002−22−22−22−22i−2i002i−2i00i2−i2i2−i2i2−i2i2−i200002−22−22-22-22i−2i002i−2i00i2−i2i2−i2i2−i2i2−i200000000002−22−20000000000
χ462-22-22200-22-22-2-22−22−22-22-200002−22−22−22−22i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i200002−22−2-22-222i−2i00−2i2i00i2−i2i2−i2−i2i2−i2i20000000000−22−220000000000
χ472-22-22200-22-22-2-22−22−22-22-200002−22−22−22−2−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i200002−22−2-22-22−2i2i002i−2i00−i2i2−i2i2i2−i2i2−i20000000000−22−220000000000
χ482-22-22200-22-22-2-22−22−22-22-200002−22−22−22−2−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i200002−22−22-22-2−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i200000000002−22−20000000000
χ492-22-22200-22-22-2-2−22−222-22-20000−22−22−22−222i−2i002i−2i00−i2i2−i2i2−i2i2−i2i20000−22−222-22-22i−2i002i−2i00−i2i2−i2i2−i2i2−i2i20000000000−22−220000000000
χ502-22-22200-22-22-2-2−22−222-22-20000−22−22−22−222i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i20000−22−22-22-222i−2i00−2i2i00−i2i2−i2i2i2−i2i2−i200000000002−22−20000000000
χ512-22-22200-22-22-2-2−22−222-22-20000−22−22−22−22−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i20000−22−22-22-22−2i2i002i−2i00i2−i2i2−i2−i2i2−i2i200000000002−22−20000000000
χ522-22-22200-22-22-2-2−22−222-22-20000−22−22−22−22−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i20000−22−222-22-2−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i20000000000−22−220000000000
χ532-2-22222-2-2-2-2-22200002-2-22-2-22200000000000000002-2-222-2-22002-200002-2-22000000002-2-222-2-22000000002-200000000000000
χ542-2-22222-2-2-2-2-22200002-2-22-2-22200000000000000002-2-22-222-2002-20000-222-2000000002-2-22-222-200000000-2200000000000000
χ552-2-22222-2-2-2-2-22200002-2-22-2-2220000000000000000-222-22-2-22002-20000-222-200000000-222-22-2-2200000000-2200000000000000
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χ964-4-44-2-2-442222-2-2-444-41-1-11-2-2222-2-222-2-22000000000000000000-11-111-1000000000000000000000000-333-30000000000000000
χ978888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9888-8-8-4-400-44-44444242−42−4222-2-20000−22−222222−22−2222220000000000000000000022−2−200000000000000000000000000000000000000000000
χ9988-8-8-4-400-44-4444−42−42424222-2-200002222−22−222222−22−2200000000000000000000−2−22200000000000000000000000000000000000000000000
χ1008-88-8-4-4004-44-44442−4242−422-22-20000−2222−2222−2222−2222000000000000000000002−22−200000000000000000000000000000000000000000000
χ1018-88-8-4-4004-44-444−4242−42422-22-2000022−2222−2222−2222−2200000000000000000000−22−2200000000000000000000000000000000000000000000
χ1028-8-88-4-48-84444-4-400002-2-2244-4-4000000000000000000000000002-2000000000000000000000000000000000000000000000000

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