Finite Group Databasebeta

← Group #11922447

Character table — Group #11922447

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order12223446661212224444366628888121236661212121212128888246242424242244886661212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-11-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11
χ511111-1-1111-1-111-1-1111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1111-1111-1-11
χ611111-1-1111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-111111-1-1-1-11111-11-1-1111-1-1-1-1
χ711111-1-1111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-11111-11-111-1-1111-1-1-1-1-1-1111-1
χ811111-1-1111-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1111-1-1-1111
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-1000000200000022000-1-10-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-10000002000000-2-2000110110
χ1122222-2-2222-2-222-2-222-1-1-1-1-2000022-1-1-1-1111111000000-2000000-22000-1-10110
χ1222222-2-2222-2-2-2-22222-1-1-1-1-2000022-1-1-1-1111111000000-20000002-2000110-1-10
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-1000000-100-1000
χ142222-122-1-1-1-1-100002222222-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-2-111110000001001000
χ152222-1-2-2-1-1-1110000222222-222-2-2-1-1-1-1-1-1-2-211110000-221-1-111000000100-1000
χ162222-1-2-2-1-1-1110000222222-2-2-222-1-1-1-1-1-1-2-2111100002-2111-1-1000000-1001000
χ1722-2-222i−2i2-2-22i−2i2-22i−2i00-1-11102−2i2−i200-11-11i−iii−i−ii2i2−i2−i20002−2i2−i200002−201-10i−i0
χ1822-2-222i−2i2-2-22i−2i2-22i−2i00-1-1110−22−i2i200-11-11i−iii−i−i−i2−i2i2i2000−22−i2i20000−2201-10i−i0
χ1922-2-222i−2i2-2-22i−2i-22−2i2i00-1-11102−2i2−i200-11-11i−iii−i−i−i2−i2i2i20002−2i2−i20000−220-110−ii0
χ2022-2-222i−2i2-2-22i−2i-22−2i2i00-1-1110−22−i2i200-11-11i−iii−i−ii2i2−i2−i2000−22−i2i200002−20-110−ii0
χ2122-2-22−2i2i2-2-2−2i2i2-2−2i2i00-1-11102−2−i2i200-11-11−ii−i−iii−i2−i2i2i20002−2−i2i200002−201-10−ii0
χ2222-2-22−2i2i2-2-2−2i2i2-2−2i2i00-1-1110−22i2−i200-11-11−ii−i−iiii2i2−i2−i2000−22i2−i20000−2201-10−ii0
χ2322-2-22−2i2i2-2-2−2i2i-222i−2i00-1-11102−2−i2i200-11-11−ii−i−iiii2i2−i2−i20002−2−i2i20000−220-110i−i0
χ2422-2-22−2i2i2-2-2−2i2i-222i−2i00-1-1110−22i2−i200-11-11−ii−i−iii−i2−i2i2i2000−22i2−i200002−20-110i−i0
χ252-2-22200-22-2000000-222-22-2000002-22-2-220000002-22-200000002-200000000000
χ262-2-22200-22-2000000-222-22-2000002-22-2-22000000-22-220000000-2200000000000
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-111-100-100-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-111-1-1-1-11001001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-1-100-1001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-1-1-11111100100-1
χ3133333-3-3333-3-333-3-3-1-10000111-1-1-1-10000000000-1-1-1-11-1111-1-1111-111100-100-1
χ3233333-3-3333-3-333-3-3-1-100001-1-111-1-100000000001111-111-1-111-1-11-1-1-1-1001001
χ3333333-3-3333-3-3-3-333-1-10000111-1-1-1-1000000000011111-1111-1-1-1-1-11-1-1100-1001
χ3433333-3-3333-3-3-3-333-1-100001-1-111-1-10000000000-1-1-1-1-111-1-11111-1111-100100-1
χ354444-244-2-2-2-2-2000044-2-2-2-240000-2-21111-2-21111000000-200000000000000000
χ364444-2-4-4-2-2-222000044-2-2-2-2-40000-2-2111122-1-1-1-1000000200000000000000000
χ3744-4-444i−4i4-4-44i−4i4-44i−4i0011-1-100000001-11-1−ii−i−iii000000000000000000-110−ii0
χ3844-4-444i−4i4-4-44i−4i-44−4i4i0011-1-100000001-11-1−ii−i−iii0000000000000000001-10i−i0
χ3944-4-44−4i4i4-4-4−4i4i4-4−4i4i0011-1-100000001-11-1i−iii−i−i000000000000000000-110i−i0
χ4044-4-44−4i4i4-4-4−4i4i-444i−4i0011-1-100000001-11-1i−iii−i−i0000000000000000001-10−ii0
χ4144-4-4-24i−4i-222−2i2i000000-2-222022−222i2−2i2001-11-12i−2i−i−iii0000000−22−i2i20000000000000
χ4244-4-4-24i−4i-222−2i2i000000-2-2220−2222−2i22i2001-11-12i−2i−i−iii00000002−2i2−i20000000000000
χ4344-4-4-2−4i4i-2222i−2i000000-2-222022−22−2i22i2001-11-1−2i2iii−i−i0000000−22i2−i20000000000000
χ4444-4-4-2−4i4i-2222i−2i000000-2-2220−22222i2−2i2001-11-1−2i2iii−i−i00000002−2−i2i20000000000000
χ454-44-4400-4-4400000000-222-20000000-2-2220000002i2−2i2−2i22i200000000000000000000
χ464-44-4400-4-4400000000-222-20000000-2-222000000−2i22i22i2−2i200000000000000000000
χ474-4-44400-44-4000000-44-22-22000004-4-222-2000000000000000000000000000000
χ484-4-44-2002-22000000-444-44-400000-22-222-2000000000000000000000000000000
χ494-4-44-2002-22000000-44-22-2200000-221-1-11003-33-3000000000000000000000000
χ504-4-44-2002-22000000-44-22-2200000-221-1-1100-33-33000000000000000000000000
χ516666-366-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000001001000
χ526666-366-3-3-3-3-30000-2-20000-2-2-2-2-211000000000000002211111000000-100-1000
χ536666-3-6-6-3-3-3330000-2-20000222-2-211000000000000002-2-1-1-111000000-1001000
χ546666-3-6-6-3-3-3330000-2-200002-2-2221100000000000000-22-111-1-1000000100-1000
χ556-6-66600-66-60000002-2000000000-2200000000002-22-20000000-2200000000000
χ566-6-66600-66-60000002-2000000000-220000000000-22-2200000002-200000000000
χ5788-8-8-48i−8i-444−4i4i00000022-2-20000000-11-11−2i2iii−i−i000000000000000000000000
χ5888-8-8-4−8i8i-4444i−4i00000022-2-20000000-11-112i−2i−i−iii000000000000000000000000
χ598-88-8800-8-88000000002-2-22000000022-2-2000000000000000000000000000000
χ608-88-8-40044-4000000002-2-220000000-1-111003i−3i−3i3i000000000000000000000000
χ618-88-8-40044-4000000002-2-220000000-1-11100−3i3i3i−3i000000000000000000000000
χ628-88-8-40044-400000000-444-4000000022-2-2000000000000000000000000000000
χ6312-12-1212-6006-660000004-40000000002-20000000000000000000000000000000000

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