Finite Group Databasebeta

← Group #11921698

Character table — Group #11921698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order12223446661212222244366648888121236661212121212128888441224242424444488666612124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11
χ511111-1-1111-1-111-1-1111111-111-1-1111111-1-1-1-1-1-111111-1-111-1-11-111-1-111-1-11-1-1
χ611111-1-1111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-11111-1-1-111
χ711111-1-1111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11-1-111-1-1111-11
χ811111-1-1111-1-1-1-111111111-1-1-111111111-1-1-1-1-1-11111-11-1-1-111-1111-1-1-1-111-11-1
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000220000-1-1-1-1000
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000-2-200001111000
χ1122222-2-2222-2-222-2-222-1-1-1-1-2000022-1-1-1-1111111000000-200002-20000-1-111000
χ1222222-2-2222-2-2-2-22222-1-1-1-1-2000022-1-1-1-1111111000000-20000-22000011-1-1000
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-10000000000-1-10
χ142222-122-1-1-1-1-100002222222-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-2-111110000000000110
χ152222-1-2-2-1-1-1110000222222-222-2-2-1-1-1-1-1-1-2-2111100002-21-1-1110000000000-110
χ162222-1-2-2-1-1-1110000222222-2-2-222-1-1-1-1-1-1-2-211110000-22111-1-100000000001-10
χ1722-2-222-22-2-22-22-22-200-111-102−22−200-111-11-111-1-122−2−20002−22−200002−21-11-1000
χ1822-2-222-22-2-22-22-22-200-111-10−22−2200-111-11-111-1-1−2−222000−22−220000−221-11-1000
χ1922-2-222-22-2-22-2-22-2200-111-102−22−200-111-11-111-1-1−2−2220002−22−20000−22-11-11000
χ2022-2-222-22-2-22-2-22-2200-111-10−22−2200-111-11-111-1-122−2−2000−22−2200002−2-11-11000
χ2122-2-22-222-2-2-222-2-2200-111-102−2−2200-111-1-11-1-11122−2−20002−2−220000−221-1-11000
χ2222-2-22-222-2-2-222-2-2200-111-10−222−200-111-1-11-1-111−2−222000−222−200002−21-1-11000
χ2322-2-22-222-2-2-22-222-200-111-102−2−2200-111-1-11-1-111−2−2220002−2−2200002−2-111-1000
χ2422-2-22-222-2-2-22-222-200-111-10−222−200-111-1-11-1-11122−2−2000−222−20000−22-111-1000
χ252-2-22200-2-22000000-2222-2-200000-2222-2-20000002-22-20000000002-2000000000
χ262-2-22200-2-22000000-2222-2-200000-2222-2-2000000-22-22000000000-22000000000
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-1110000-1-1-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-1-1-111-1-10000111
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-10000-1-11
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-111-1-111000011-1
χ3133333-3-3333-3-333-3-3-1-10000111-1-1-1-100000000001111-11111-1-1-11-1-1-1-10000-111
χ3233333-3-3333-3-333-3-3-1-100001-1-111-1-10000000000-1-1-1-11-11-1-111-11111100001-1-1
χ3333333-3-3333-3-3-3-333-1-10000111-1-1-1-10000000000-1-1-1-1-11111-1-11-111110000-11-1
χ3433333-3-3333-3-3-3-333-1-100001-1-111-1-1000000000011111-11-1-1111-1-1-1-1-100001-11
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
χ3744-4-444-44-4-44-44-44-4001-1-1100000001-1-11-11-1-11100000000000000000-11-11000
χ3844-4-444-44-4-44-4-44-44001-1-1100000001-1-11-11-1-111000000000000000001-11-1000
χ3944-4-44-444-4-4-444-4-44001-1-1100000001-1-111-111-1-100000000000000000-111-1000
χ4044-4-44-444-4-4-44-444-4001-1-1100000001-1-111-111-1-1000000000000000001-1-11000
χ4144-4-4-24-4-222-22000000-222-2022−2222−22001-1-112-2-1-1110000000−22−220000000000000
χ4244-4-4-24-4-222-22000000-222-20−2222−2222001-1-112-2-1-11100000002−22−20000000000000
χ4344-4-4-2-44-2222-2000000-222-2022−22−2222001-1-11-2211-1-10000000−222−20000000000000
χ4444-4-4-2-44-2222-2000000-222-20−222222−22001-1-11-2211-1-100000002−2−220000000000000
χ454-44-4400-44-400000000-22-220000000-22-2200000022−22−222200000000000000000000
χ464-44-4400-44-400000000-22-220000000-22-22000000−222222−2200000000000000000000
χ474-4-44400-4-44000000-44-2-22200000-44-2-222000000000000000000000000000000
χ484-4-44-20022-2000000-4444-4-4000002-2-2-222000000000000000000000000000000
χ494-4-44-20022-2000000-44-2-222000002-211-1-1003i−3i3i−3i000000000000000000000000
χ504-4-44-20022-2000000-44-2-222000002-211-1-100−3i3i−3i3i000000000000000000000000
χ516666-366-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000000000110
χ526666-366-3-3-3-3-30000-2-20000-2-2-2-2-2110000000000000022111110000000000-1-10
χ536666-3-6-6-3-3-3330000-2-20000222-2-21100000000000000-22-1-1-11100000000001-10
χ546666-3-6-6-3-3-3330000-2-200002-2-22211000000000000002-2-111-1-10000000000-110
χ556-6-66600-6-660000002-20000000002-200000000002-22-2000000000-22000000000
χ566-6-66600-6-660000002-20000000002-20000000000-22-220000000002-2000000000
χ5788-8-8-48-8-444-440000002-2-220000000-111-1-2211-1-1000000000000000000000000
χ5888-8-8-4-88-4444-40000002-2-220000000-111-12-2-1-111000000000000000000000000
χ598-88-8800-88-8000000002-22-200000002-22-2000000000000000000000000000000
χ608-88-8-4004-44000000002-22-20000000-11-11003i−3i−3i3i000000000000000000000000
χ618-88-8-4004-44000000002-22-20000000-11-1100−3i3i3i−3i000000000000000000000000
χ628-88-8-4004-4400000000-44-4400000002-22-2000000000000000000000000000000
χ6312-12-1212-60066-60000004-4000000000-220000000000000000000000000000000000

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