Finite Group Databasebeta

← Group #11921648

Character table — Group #11921648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order122234466612124444443666488881212366612121212121288884412242424242244881212121212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11
χ511111-1-1111-1-111-1-1111111-111-1-1111111-1-1-1-1-1-111111-1-111-1-1111-1-1-11-111-1-1-1
χ611111-1-1111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11-111-1111-1-11
χ711111-1-1111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-1-1-1111
χ811111-1-1111-1-1-1-111111111-1-1-111111111-1-1-1-1-1-11111-11-1-1-11111-11-1-1-11-1-111-1
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-10000002000000220000-1-1-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-10000002000000-2-2000011110
χ1122222-2-2222-2-222-2-222-1-1-1-1-2000022-1-1-1-1111111000000-20000002-20000-1-1110
χ1222222-2-2222-2-2-2-22222-1-1-1-1-2000022-1-1-1-1111111000000-2000000-22000011-1-10
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-1000000-1-100000
χ142222-122-1-1-1-1-100002222222-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-2-111110000001100000
χ152222-1-2-2-1-1-1110000222222-222-2-2-1-1-1-1-1-1-2-2111100002-21-1-111000000-1100000
χ162222-1-2-2-1-1-1110000222222-2-2-222-1-1-1-1-1-1-2-211110000-22111-1-10000001-100000
χ1722-2-2200-22-20000002-222-2-2000002-222-2-200000022-2-200000002-200000000000
χ1822-2-2200-22-20000002-222-2-2000002-222-2-2000000-2-2220000000-2200000000000
χ192-2-2222-22-2-22-22i−2i2i−2i00-11-1102−22−200-111-11-111-1-1i2−i2i2−i20002−22−20000i2−i200i−ii−i0
χ202-2-2222-22-2-22-22i−2i2i−2i00-11-110−22−2200-111-11-111-1-1−i2i2−i2i2000−22−220000−i2i200i−ii−i0
χ212-2-2222-22-2-22-2−2i2i−2i2i00-11-1102−22−200-111-11-111-1-1−i2i2−i2i20002−22−20000−i2i200−ii−ii0
χ222-2-2222-22-2-22-2−2i2i−2i2i00-11-110−22−2200-111-11-111-1-1i2−i2i2−i2000−22−220000i2−i200−ii−ii0
χ232-2-222-222-2-2-222i−2i−2i2i00-11-1102−2−2200-111-1-11-1-111i2−i2i2−i20002−2−220000−i2i200i−i−ii0
χ242-2-222-222-2-2-222i−2i−2i2i00-11-110−222−200-111-1-11-1-111−i2i2−i2i2000−222−20000i2−i200i−i−ii0
χ252-2-222-222-2-2-22−2i2i2i−2i00-11-1102−2−2200-111-1-11-1-111−i2i2−i2i20002−2−220000i2−i200−iii−i0
χ262-2-222-222-2-2-22−2i2i2i−2i00-11-110−222−200-111-1-11-1-111i2−i2i2−i2000−222−20000−i2i200−iii−i0
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-111-1-10000-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-111-1-1-1-11100001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-1-1-100001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-1-1-11111110000-1
χ3133333-3-3333-3-333-3-3-1-10000111-1-1-1-100000000001111-11111-1-1-1-1-11-1-1-1100001
χ3233333-3-3333-3-333-3-3-1-100001-1-111-1-10000000000-1-1-1-11-11-1-11111-11111-10000-1
χ3333333-3-3333-3-3-3-333-1-10000111-1-1-1-10000000000-1-1-1-1-11111-1-1111-111-110000-1
χ3433333-3-3333-3-3-3-333-1-100001-1-111-1-1000000000011111-11-1-111-1-11-1-1-11-100001
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
χ3744-4-4400-44-40000004-4-2-222000004-4-2-222000000000000000000000000000000
χ3844-4-4-2002-220000004-444-4-400000-22-2-222000000000000000000000000000000
χ3944-4-4-2002-220000004-4-2-22200000-2211-1-1003i−3i3i−3i000000000000000000000000
χ4044-4-4-2002-220000004-4-2-22200000-2211-1-100−3i3i−3i3i000000000000000000000000
χ414-44-4400-4-4400000000-222-20000000-22-220000002i2−2i2−2i22i200000000000000000000
χ424-44-4400-4-4400000000-222-20000000-22-22000000−2i22i22i2−2i200000000000000000000
χ434-4-4444-44-4-44-44i−4i4i−4i001-11-100000001-1-11-11-1-1110000000000000000000−ii−ii0
χ444-4-4444-44-4-44-4−4i4i−4i4i001-11-100000001-1-11-11-1-1110000000000000000000i−ii−i0
χ454-4-444-444-4-4-444i−4i−4i4i001-11-100000001-1-111-111-1-10000000000000000000−iii−i0
χ464-4-444-444-4-4-44−4i4i4i−4i001-11-100000001-1-111-111-1-10000000000000000000i−i−ii0
χ474-4-44-24-4-222-22000000-22-22022−2222−22001-1-112-2-1-1110000000−22−220000000000000
χ484-4-44-24-4-222-22000000-22-220−2222−2222001-1-112-2-1-11100000002−22−20000000000000
χ494-4-44-2-44-2222-2000000-22-22022−22−2222001-1-11-2211-1-10000000−222−20000000000000
χ504-4-44-2-44-2222-2000000-22-220−222222−22001-1-11-2211-1-100000002−2−220000000000000
χ516666-366-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000001100000
χ526666-366-3-3-3-3-30000-2-20000-2-2-2-2-211000000000000002211111000000-1-100000
χ536666-3-6-6-3-3-3330000-2-20000222-2-21100000000000000-22-1-1-1110000001-100000
χ546666-3-6-6-3-3-3330000-2-200002-2-22211000000000000002-2-111-1-1000000-1100000
χ5566-6-6600-66-6000000-22000000000-22000000000022-2-20000000-2200000000000
χ5666-6-6600-66-6000000-22000000000-220000000000-2-22200000002-200000000000
χ578-88-8800-8-88000000002-2-2200000002-22-2000000000000000000000000000000
χ588-88-8-40044-4000000002-2-220000000-11-11003i−3i−3i3i000000000000000000000000
χ598-88-8-40044-4000000002-2-220000000-11-1100−3i3i3i−3i000000000000000000000000
χ608-88-8-40044-400000000-444-400000002-22-2000000000000000000000000000000
χ618-8-88-48-8-444-440000002-22-20000000-111-1-2211-1-1000000000000000000000000
χ628-8-88-4-88-4444-40000002-22-20000000-111-12-2-1-111000000000000000000000000
χ631212-12-12-6006-66000000-440000000002-20000000000000000000000000000000000

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