Finite Group Databasebeta

← Group #11866789

Character table — Group #11866789

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222244444466666666888888242422224444444444888888121212121212121216161616161648483333666666666612121212121218181818181818182424242424247272
order1222223444466666121212128888888844121212124436666631212121266666121212122424242424242424121212121212121222222264444666661212121288888888441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1
χ61111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11
χ71111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-11
χ81111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-20000000000000000
χ10222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ11222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100
χ12222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300
χ13222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300
χ142222-2-22-222-2222-2-2-2-22200000000000000002222-2-22-222-2222-2-2-2-22200000000000000002222-2-22-222-2222-2-2-2-2220000000000000000
χ152222-2-2-12-2-22-1-1-111-1-111000000002-2-1-111002222-2-2-12-2-22-1-1-111-1-111000000002-2-1-111002222-2-2-12-2-22-1-1-111-1-111000000002-2-1-11100
χ162222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-1002222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-1002222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-100
χ172222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i3002222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i3002222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i300
χ182222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i3002222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i3002222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i300
χ1922-2-22-2200002-2-22-2000022−2−222−2−20000000022-2-22-2200002-2-22-2000022−2−222−2−20000000022-2-22-2200002-2-22-2000022−2−222−2−200000000
χ2022-2-22-2200002-2-22-20000−2−222−2−2220000000022-2-22-2200002-2-22-20000−2−222−2−2220000000022-2-22-2200002-2-22-20000−2−222−2−22200000000
χ2122-2-2-22200002-2-2-22000022−2−2−2−2220000000022-2-2-22200002-2-2-22000022−2−2−2−2220000000022-2-2-22200002-2-2-22000022−2−2−2−22200000000
χ2222-2-2-22200002-2-2-220000−2−22222−2−20000000022-2-2-22200002-2-2-220000−2−22222−2−20000000022-2-2-22200002-2-2-220000−2−22222−2−200000000
χ232-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i2000000002-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i2000000002-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i200000000
χ242-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i2000000002-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i2000000002-22-200202i−2i0-22-200002i−2i−22−22i2−i2i2−i200000000
χ252-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i2000000002-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i2000000002-22-20020−2i2i0-22-20000−2i2i2−22−2i2−i2i2−i200000000
χ262-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i2000000002-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i2000000002-22-20020−2i2i0-22-20000−2i2i−22−22−i2i2−i2i200000000
χ272-2-22002200-2-2-22002-20000002i−2i−2i2i000000002-2-22002200-2-2-22002-20000002i−2i−2i2i000000002-2-22002200-2-2-22002-20000002i−2i−2i2i00000000
χ282-2-22002200-2-2-22002-2000000−2i2i2i−2i000000002-2-22002200-2-2-22002-2000000−2i2i2i−2i000000002-2-22002200-2-2-22002-2000000−2i2i2i−2i00000000
χ292-2-22002-2002-2-2200-22002-2-220000000000002-2-22002-2002-2-2200-22002-2-220000000000002-2-22002-2002-2-2200-22002-2-22000000000000
χ302-2-22002-2002-2-2200-2200-222-20000000000002-2-22002-2002-2-2200-2200-222-20000000000002-2-22002-2002-2-2200-2200-222-2000000000000
χ3144-4-44-4-20000-222-220000000000000000000044-4-44-4-20000-222-220000000000000000000044-4-44-4-20000-222-2200000000000000000000
χ3244-4-4-44-20000-2222-20000000000000000000044-4-4-44-20000-2222-20000000000000000000044-4-4-44-20000-2222-200000000000000000000
χ334-44-400-204i−4i02-220000−2i2i00000000000000004-44-400-204i−4i02-220000−2i2i00000000000000004-44-400-204i−4i02-220000−2i2i0000000000000000
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χ354-4-4400-2400-422-200-220000000000000000004-4-4400-2400-422-200-220000000000000000004-4-4400-2400-422-200-22000000000000000000
χ364-4-4400-2-400422-2002-20000000000000000004-4-4400-2-400422-2002-20000000000000000004-4-4400-2-400422-2002-2000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ411111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-11-1-111-11
χ421111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-111111-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111-111-1-11-1
χ431111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-111111-111-1-1-11-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-11-1-1111-1
χ441111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-11-1-1111-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11-111-1-1-11
χ452222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-20000000000000000-2-2-2-2-2-2-22222-2-2-2-2-222220000000000000000
χ46222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100222222-12222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-2-2-21-2-2-2-211111111100000000-2-2111100
χ47222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100222222-12222-1-1-1-1-1-1-1-1-100000000-2-2111100-2-2-2-2-2-21-2-2-2-21111111110000000022-1-1-1-100
χ48222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300222222-1-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300-2-2-2-2-2-21222211111-1-1-1-10000000000i3−i3i3−i300
χ49222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300222222-1-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300-2-2-2-2-2-21222211111-1-1-1-10000000000−i3i3−i3i300
χ502222-2-22-222-2222-2-2-2-22200000000000000002222-2-22-222-2222-2-2-2-2220000000000000000-2-2-2-222-22-2-22-2-2-22222-2-20000000000000000
χ512222-2-2-12-2-22-1-1-111-1-111000000002-2-1-111002222-2-2-12-2-22-1-1-111-1-111000000002-2-1-11100-2-2-2-2221-222-2111-1-111-1-100000000-2211-1-100
χ522222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-1002222-2-2-12-2-22-1-1-111-1-11100000000-2211-1-100-2-2-2-2221-222-2111-1-111-1-1000000002-2-1-11100
χ532222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i3002222-2-2-1-222-2-1-1-11111-1-10000000000−i3i3i3−i300-2-2-2-22212-2-22111-1-1-1-1110000000000i3−i3−i3i300
χ542222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i3002222-2-2-1-222-2-1-1-11111-1-10000000000i3−i3−i3i300-2-2-2-22212-2-22111-1-1-1-1110000000000−i3i3i3−i300
χ5522-2-22-2200002-2-22-2000022−2−222−2−20000000022-2-22-2200002-2-22-2000022−2−222−2−200000000-2-222-22-20000-222-220000−2−222−2−22200000000
χ5622-2-22-2200002-2-22-20000−2−222−2−2220000000022-2-22-2200002-2-22-20000−2−222−2−22200000000-2-222-22-20000-222-22000022−2−222−2−200000000
χ5722-2-2-22200002-2-2-22000022−2−2−2−2220000000022-2-2-22200002-2-2-22000022−2−2−2−22200000000-2-2222-2-20000-2222-20000−2−22222−2−200000000
χ5822-2-2-22200002-2-2-220000−2−22222−2−20000000022-2-2-22200002-2-2-220000−2−22222−2−200000000-2-2222-2-20000-2222-2000022−2−2−2−22200000000
χ592-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i2000000002-22-200202i−2i0-22-200002i−2i2−22−2−i2i2−i2i200000000-22-2200-20−2i2i02-220000−2i2i−22−22i2−i2i2−i200000000
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χ9144-4-44-4400004-4-44-400002222−22−222222−22−2200000000-2-222-22-20000-222-220000−2−222−2−22200000000000000000000000000000000000000000000
χ9244-4-44-4400004-4-44-40000−22−222222−22−22222200000000-2-222-22-20000-222-22000022−2−222−2−200000000000000000000000000000000000000000000
χ9344-4-4-44400004-4-4-4400002222−22−22−22−22222200000000-2-2222-2-20000-2222-20000−2−22222−2−200000000000000000000000000000000000000000000
χ9444-4-4-44400004-4-4-440000−22−2222222222−22−2200000000-2-2222-2-20000-2222-2000022−2−2−2−22200000000000000000000000000000000000000000000
χ954-44-400404i−4i0-44-400004i−4i22−2222−22−2i22i2−2i22i200000000-22-2200-20−2i2i02-220000−2i2i−22−22i2−i2i2−i200000000000000000000000000000000000000000000
χ964-44-400404i−4i0-44-400004i−4i−2222−22222i2−2i22i2−2i200000000-22-2200-20−2i2i02-220000−2i2i2−22−2−i2i2−i2i200000000000000000000000000000000000000000000
χ974-44-40040−4i4i0-44-40000−4i4i22−2222−222i2−2i22i2−2i200000000-22-2200-202i−2i02-2200002i−2i−22−22−i2i2−i2i200000000000000000000000000000000000000000000
χ984-44-40040−4i4i0-44-40000−4i4i−2222−2222−2i22i2−2i22i200000000-22-2200-202i−2i02-2200002i−2i2−22−2i2−i2i2−i200000000000000000000000000000000000000000000
χ994-4-44004400-4-4-44004-40000004i−4i−4i4i00000000-222-200-2-200222-200-22000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ1004-4-44004400-4-4-44004-4000000−4i4i4i−4i00000000-222-200-2-200222-200-220000002i−2i−2i2i00000000000000000000000000000000000000000000
χ1014-4-44004-4004-4-4400-44004-4-44000000000000-222-200-2200-222-2002-200-222-2000000000000000000000000000000000000000000000000
χ1024-4-44004-4004-4-4400-4400-444-4000000000000-222-200-2200-222-2002-2002-2-22000000000000000000000000000000000000000000000000
χ10388-8-88-8-40000-444-4400000000000000000000-4-444-44200002-2-22-200000000000000000000000000000000000000000000000000000000
χ10488-8-8-88-40000-4444-400000000000000000000-4-4444-4200002-2-2-2200000000000000000000000000000000000000000000000000000000
χ1058-88-800-408i−8i04-440000−4i4i0000000000000000-44-440020−4i4i0-22-200002i−2i0000000000000000000000000000000000000000000000000000
χ1068-88-800-40−8i8i04-4400004i−4i0000000000000000-44-4400204i−4i0-22-20000−2i2i0000000000000000000000000000000000000000000000000000
χ1078-8-8800-4800-844-400-44000000000000000000-444-4002-4004-2-22002-2000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-800844-4004-4000000000000000000-444-4002400-4-2-2200-22000000000000000000000000000000000000000000000000000000

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