Finite Group Databasebeta

← Group #11921109

Character table — Group #11921109

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444466668888888888881212121212121212121216161616161616161616161616161616161636363636727272727272
order12223446664412121212121222443336666666662266666612121212121212121212121212121212121212124444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51-11-111-1-1-111-11-111-1-11-11-1111-1-1-1-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1ii−i−ii−ii−ii−i
χ61-11-111-1-1-111-11-111-1-11-11-1111-1-1-1-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1−i−iii−ii−ii−ii
χ71-11-111-1-1-11-111-1-1-1111-11-1111-1-1-1-1-1-1111-111-1-1-1111-1111-1-1-1-1-1-1-1-1-1111111ii−i−i−iii−i−ii
χ81-11-111-1-1-11-111-1-1-1111-11-1111-1-1-1-1-1-1111-111-1-1-1111-1111-1-1-1-1-1-1-1-1-1111111−i−iiii−i−iii−i
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-1-1-1-1-1-11111111111110000000000
χ1122222-2-222200-2-20000-2-22222222222222200-2-2000022-2-2-2-2-2-20000000000000000000000
χ1222222-2-222200-2-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000022111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i30000000000
χ1322222-2-222200-2-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000022111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i30000000000
χ142222-122-1-1-122-1-1-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-10000000000
χ152222-122-1-1-122-1-1-1-1-1-12222-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-10000000000
χ162222-122-1-1-122-1-1-1-1-1-12222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-120000000000
χ172222-122-1-1-1-2-2-1-1111122222-1-122-1-1-1-12-1-1-2-2-1-11111-1-12-1-12-1-1-211-211-211-2110000000000
χ182222-122-1-1-1-2-2-1-111112222-12-1-1-122-1-1-12-1-2-2-1-11111-1-1-12-1-12-11-211-211-211-210000000000
χ192222-122-1-1-1-2-2-1-111112222-1-12-1-1-1-122-1-12-2-2-1-11111-1-1-1-12-1-1211-211-211-211-20000000000
χ202222-1-2-2-1-1-10011−i3i3−i3i3-2-2222-1-122-1-1-1-12-1-10011−i3i3−i3i3-1-1-211-2110−i3i30i3−i30−i3i30i3−i30000000000
χ212222-1-2-2-1-1-10011−i3i3−i3i3-2-222-12-1-1-122-1-1-12-10011−i3i3−i3i3-1-11-211-21i30−i3−i30i3i30−i3−i30i30000000000
χ222222-1-2-2-1-1-10011−i3i3−i3i3-2-222-1-12-1-1-1-122-1-120011−i3i3−i3i3-1-111-211-2−i3i30i3−i30−i3i30i3−i300000000000
χ232222-1-2-2-1-1-10011i3−i3i3−i3-2-2222-1-122-1-1-1-12-1-10011i3−i3i3−i3-1-1-211-2110i3−i30−i3i30i3−i30−i3i30000000000
χ242222-1-2-2-1-1-10011i3−i3i3−i3-2-222-12-1-1-122-1-1-12-10011i3−i3i3−i3-1-11-211-21−i30i3i30−i3−i30i3i30−i30000000000
χ252222-1-2-2-1-1-10011i3−i3i3−i3-2-222-1-12-1-1-1-122-1-120011i3−i3i3−i3-1-111-211-2i3−i30−i3i30i3−i30−i3i300000000000
χ262-22-222-2-2-222-22-222-2-22-22-2-1-1-1111111-1-1-12-22-222-2-22-2-1-1-1111-1-1-1-1-1-11111110000000000
χ272-22-222-2-2-22-222-2-2-2222-22-2-1-1-1111111-1-1-1-222-2-2-2222-2-1-1-1111111111-1-1-1-1-1-10000000000
χ282-22-22-22-2-2200-220000-222-2222-2-2-2-2-2-222200-2200002-2-2-2-22220000000000000000000000
χ292-22-22-22-2-2200-220000-222-2-1-1-1111111-1-1-100-2200002-2111-1-1-1−i3−i3−i3i3i3i3i3i3i3−i3−i3−i30000000000
χ302-22-22-22-2-2200-220000-222-2-1-1-1111111-1-1-100-2200002-2111-1-1-1i3i3i3−i3−i3−i3−i3−i3−i3i3i3i30000000000
χ312-22-2-12-211-12-2-11-1-1112-22-22-1-1-2-211112-1-12-2-11-1-111-112-1-1-2112-1-12-1-1-211-2110000000000
χ322-22-2-12-211-12-2-11-1-1112-22-2-12-111-2-211-12-12-2-11-1-111-11-12-11-21-12-1-12-11-211-210000000000
χ332-22-2-12-211-12-2-11-1-1112-22-2-1-121111-2-2-1-122-2-11-1-111-11-1-1211-2-1-12-1-1211-211-20000000000
χ342-22-2-12-211-1-22-1111-1-12-22-22-1-1-2-211112-1-1-22-1111-1-1-112-1-1-211-211-2112-1-12-1-10000000000
χ352-22-2-12-211-1-22-1111-1-12-22-2-12-111-2-211-12-1-22-1111-1-1-11-12-11-211-211-21-12-1-12-10000000000
χ362-22-2-12-211-1-22-1111-1-12-22-2-1-121111-2-2-1-12-22-1111-1-1-11-1-1211-211-211-2-1-12-1-120000000000
χ372-22-2-1-2211-1001-1−i3i3i3−i3-222-22-1-1-2-211112-1-1001-1−i3i3i3−i3-11-2112-1-10−i3i30i3−i30i3−i30−i3i30000000000
χ382-22-2-1-2211-1001-1−i3i3i3−i3-222-2-12-111-2-211-12-1001-1−i3i3i3−i3-111-21-12-1i30−i3−i30i3−i30i3i30−i30000000000
χ392-22-2-1-2211-1001-1−i3i3i3−i3-222-2-1-121111-2-2-1-12001-1−i3i3i3−i3-1111-2-1-12−i3i30i3−i30i3−i30−i3i300000000000
χ402-22-2-1-2211-1001-1i3−i3−i3i3-222-22-1-1-2-211112-1-1001-1i3−i3−i3i3-11-2112-1-10i3−i30−i3i30−i3i30i3−i30000000000
χ412-22-2-1-2211-1001-1i3−i3−i3i3-222-2-12-111-2-211-12-1001-1i3−i3−i3i3-111-21-12-1−i30i3i30−i3i30−i3−i30i30000000000
χ422-22-2-1-2211-1001-1i3−i3−i3i3-222-2-1-121111-2-2-1-12001-1i3−i3−i3i3-1111-2-1-12i3−i30−i3i30−i3i30i3−i300000000000
χ43333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111
χ44333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-1
χ453333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-1000000000000000000111111-1-1-1-1
χ463333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-1000000000000000000-1-1-1-1-1-11111
χ473-33-333-3-3-333-33-333-3-3-11-11000000000000-11-11-1-111-11000000000000000000ii−i−i−ii−iii−i
χ483-33-333-3-3-333-33-333-3-3-11-11000000000000-11-11-1-111-11000000000000000000−i−iiii−ii−i−ii
χ493-33-333-3-3-33-333-3-3-333-11-110000000000001-1-1111-1-1-11000000000000000000ii−i−ii−i−ii−ii
χ503-33-333-3-3-33-333-3-3-333-11-110000000000001-1-1111-1-1-11000000000000000000−i−iii−iii−ii−i
χ5144-4-44004-4-4000000000000-2-2-22-22-22-222200000000000000000000000000002i−2i2i−2i000000
χ5244-4-44004-4-4000000000000-2-2-22-22-22-22220000000000000000000000000000−2i2i−2i2i000000
χ534-4-44400-44-4000000000000-2-2-2-22-22-2222200000000000000000000000000002-2-22000000
χ544-4-44400-44-4000000000000-2-2-2-22-22-222220000000000000000000000000000-222-2000000
χ5566666-6-666600-6-6000022-2-200000000000000220000-2-20000000000000000000000000000
χ566666-366-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-2111111110000000000000000000000000000
χ576666-366-3-3-3-6-6-3-33333-2-2-2-20000000000002211-1-1-1-1110000000000000000000000000000
χ586666-3-6-6-3-3-30033−3i33i3−3i33i322-2-200000000000000-1-1i3−i3i3−i3110000000000000000000000000000
χ596666-3-6-6-3-3-300333i3−3i33i3−3i322-2-200000000000000-1-1−i3i3−i3i3110000000000000000000000000000
χ606-66-66-66-6-6600-6600002-2-22000000000000002-20000-220000000000000000000000000000
χ616-66-6-36-633-36-6-33-3-333-22-22000000000000-221-111-1-11-10000000000000000000000000000
χ626-66-6-36-633-3-66-3333-3-3-22-220000000000002-21-1-1-1111-10000000000000000000000000000
χ636-66-6-3-6633-3003-3−3i33i33i3−3i32-2-2200000000000000-11i3−i3−i3i31-10000000000000000000000000000
χ646-66-6-3-6633-3003-33i3−3i3−3i33i32-2-2200000000000000-11−i3i3i3−i31-10000000000000000000000000000
χ6588-8-88008-8-8000000000000222-22-22-22-2-2-200000000000000000000000000000000000000
χ6688-8-8-400-44400000000000022-4-22-224-4-2-2400000000000000000000000000000000000000
χ6788-8-8-400-4440000000000002-42-224-4-22-24-200000000000000000000000000000000000000
χ6888-8-8-400-444000000000000-4224-4-22-224-2-200000000000000000000000000000000000000
χ698-8-88800-88-80000000000002222-22-22-2-2-2-200000000000000000000000000000000000000
χ708-8-88-4004-4400000000000022-42-22-2-44-2-2400000000000000000000000000000000000000
χ718-8-88-4004-440000000000002-422-2-442-2-24-200000000000000000000000000000000000000
χ728-8-88-4004-44000000000000-422-442-22-24-2-200000000000000000000000000000000000000

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