Finite Group Databasebeta

← Group #11921103

Character table — Group #11921103

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order122234466622224412121212121244666633366666666644121212121212121212121212121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-11-111-1-1-1111-1-11-11-111-1-11-111-1-1111-1-1-1-1-1-11111-11-111-1-1111-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ61-11-111-1-1-1111-1-11-11-111-1-11-111-1-1111-1-1-1-1-1-11111-11-111-1-1111-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ71-11-111-1-1-1111-1-1-111-1-1-1111-111-1-1111-1-1-1-1-1-1111-111-1-1-111111-1-1-1-1-1-1-1-1-1111111ii−i−iii−i−i−ii−ii
χ81-11-111-1-1-1111-1-1-111-1-1-1111-111-1-1111-1-1-1-1-1-1111-111-1-1-111111-1-1-1-1-1-1-1-1-1111111−i−iii−i−iiii−ii−i
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1122222-2-2222222200-2-20000-2-2222222222222222200-2-20000-2-2-2-2-2-2000000000000000000000000
χ1222222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3000000000000
χ1322222-2-2222222200-2-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1000000000000
χ162222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12000000000000
χ172222-122-1-1-12222-2-2-1-1111122-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-111112-1-12-1-1-211-211-211-211000000000000
χ182222-122-1-1-12222-2-2-1-1111122-1-1-1-1-12-1-1-122-1-1-12-1-2-2-1-11111-12-1-12-11-211-211-211-21000000000000
χ192222-122-1-1-12222-2-2-1-1111122-1-1-1-1-1-12-1-1-1-122-1-12-2-2-1-11111-1-12-1-1211-211-211-211-2000000000000
χ202222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-12-1-122-1-1-1-12-1-10011−i3i3−i3i3-211-2110−i3i30i3−i30−i3i30i3−i3000000000000
χ212222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1-12-1-1-122-1-1-12-10011−i3i3−i3i31-211-21i30−i3−i30i3i30−i3−i30i3000000000000
χ222222-1-2-2-1-1-122220011−i3i3−i3i3-2-2-1-1-1-1-1-12-1-1-1-122-1-120011−i3i3−i3i311-211-2−i3i30i3−i30−i3i30i3−i30000000000000
χ232222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-12-1-122-1-1-1-12-1-10011i3−i3i3−i3-211-2110i3−i30−i3i30i3−i30−i3i3000000000000
χ242222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1-12-1-1-122-1-1-12-10011i3−i3i3−i31-211-21−i30i3i30−i3−i30i3i30−i3000000000000
χ252222-1-2-2-1-1-122220011i3−i3i3−i3-2-2-1-1-1-1-1-12-1-1-1-122-1-120011i3−i3i3−i311-211-2i3−i30−i3i30i3−i30−i3i30000000000000
χ2622-2-22002-2-22-22-200000000002-22-22222-22-22-2-2-2-2000000000000000000000000002−22−22−22−20000
χ2722-2-22002-2-22-22-200000000002-22-22222-22-22-2-2-2-200000000000000000000000000−22−22−22−220000
χ282-22-222-2-2-2222-2-22-22-222-2-22-222-2-2-1-1-1111111-1-1-12-22-222-2-2-1-1-1111-1-1-1-1-1-1111111000000000000
χ292-22-222-2-2-2222-2-2-222-2-2-2222-222-2-2-1-1-1111111-1-1-1-222-2-2-222-1-1-1111111111-1-1-1-1-1-1000000000000
χ302-22-22-22-2-2222-2-200-220000-2222-2-2222-2-2-2-2-2-222200-220000-2-2-2222000000000000000000000000
χ312-22-22-22-2-2222-2-200-220000-2222-2-2-1-1-1111111-1-1-100-220000111-1-1-1−i3−i3−i3i3i3i3i3i3i3−i3−i3−i3000000000000
χ322-22-22-22-2-2222-2-200-220000-2222-2-2-1-1-1111111-1-1-100-220000111-1-1-1i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3000000000000
χ332-22-2-12-211-122-2-22-2-11-1-1112-2-1-1112-1-1-2-211112-1-12-2-11-1-1112-1-1-2112-1-12-1-1-211-211000000000000
χ342-22-2-12-211-122-2-22-2-11-1-1112-2-1-111-12-111-2-211-12-12-2-11-1-111-12-11-21-12-1-12-11-211-21000000000000
χ352-22-2-12-211-122-2-22-2-11-1-1112-2-1-111-1-121111-2-2-1-122-2-11-1-111-1-1211-2-1-12-1-1211-211-2000000000000
χ362-22-2-12-211-122-2-2-22-1111-1-12-2-1-1112-1-1-2-211112-1-1-22-1111-1-12-1-1-211-211-2112-1-12-1-1000000000000
χ372-22-2-12-211-122-2-2-22-1111-1-12-2-1-111-12-111-2-211-12-1-22-1111-1-1-12-11-211-211-21-12-1-12-1000000000000
χ382-22-2-12-211-122-2-2-22-1111-1-12-2-1-111-1-121111-2-2-1-12-22-1111-1-1-1-1211-211-211-2-1-12-1-12000000000000
χ392-22-2-1-2211-122-2-2001-1−i3i3i3−i3-22-1-1112-1-1-2-211112-1-1001-1−i3i3i3−i3-2112-1-10−i3i30i3−i30i3−i30−i3i3000000000000
χ402-22-2-1-2211-122-2-2001-1−i3i3i3−i3-22-1-111-12-111-2-211-12-1001-1−i3i3i3−i31-21-12-1i30−i3−i30i3−i30i3i30−i3000000000000
χ412-22-2-1-2211-122-2-2001-1−i3i3i3−i3-22-1-111-1-121111-2-2-1-12001-1−i3i3i3−i311-2-1-12−i3i30i3−i30i3−i30−i3i30000000000000
χ422-22-2-1-2211-122-2-2001-1i3−i3−i3i3-22-1-1112-1-1-2-211112-1-1001-1i3−i3−i3i3-2112-1-10i3−i30−i3i30−i3i30i3−i3000000000000
χ432-22-2-1-2211-122-2-2001-1i3−i3−i3i3-22-1-111-12-111-2-211-12-1001-1i3−i3−i3i31-21-12-1−i30i3i30−i3i30−i3−i30i3000000000000
χ442-22-2-1-2211-122-2-2001-1i3−i3−i3i3-22-1-111-1-121111-2-2-1-12001-1i3−i3−i3i311-2-1-12i3−i30−i3i30−i3i30i3−i30000000000000
χ452-2-22200-22-22-2-2200000000002-2-22222-22-22-22-2-2-200000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ462-2-22200-22-22-2-2200000000002-2-22222-22-22-22-2-2-200000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-1-1-1111111-1-1
χ513-33-333-3-3-33-1-1113-33-333-3-3-11-1-111000000000000-11-11-1-111000000000000000000ii−i−i−i−iiii−i−ii
χ523-33-333-3-3-33-1-1113-33-333-3-3-11-1-111000000000000-11-11-1-111000000000000000000−i−iiiii−i−i−iii−i
χ533-33-333-3-3-33-1-111-333-3-3-333-11-1-1110000000000001-1-1111-1-1000000000000000000ii−i−i−i−iii−iii−i
χ543-33-333-3-3-33-1-111-333-3-3-333-11-1-1110000000000001-1-1111-1-1000000000000000000−i−iiiii−i−ii−i−ii
χ5544-4-44004-4-44-44-400000000004-44-4-2-2-2-22-22-2222200000000000000000000000000000000000000
χ5644-4-4-200-2224-44-40000000000-22-224-2-24-4-22-22-42200000000000000000000000000000000000000
χ5744-4-4-200-2224-44-40000000000-22-22-24-2-224-4-222-4200000000000000000000000000000000000000
χ5844-4-4-200-2224-44-40000000000-22-22-2-24-22-224-422-400000000000000000000000000000000000000
χ594-4-44400-44-44-4-4400000000004-4-44-2-2-22-22-22-222200000000000000000000000000000000000000
χ604-4-44-2002-224-4-440000000000-222-24-2-2-442-22-2-42200000000000000000000000000000000000000
χ614-4-44-2002-224-4-440000000000-222-2-24-22-2-442-22-4200000000000000000000000000000000000000
χ624-4-44-2002-224-4-440000000000-222-2-2-242-22-2-4422-400000000000000000000000000000000000000
χ6366666-6-6666-2-2-2-200-6-6000022-2-2-2-200000000000000220000000000000000000000000000000000
χ646666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ656666-366-3-3-3-2-2-2-2-6-6-3-33333-2-211110000000000002211-1-1-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-20033−3i33i3−3i33i322111100000000000000-1-1i3−i3i3−i3000000000000000000000000000000
χ676666-3-6-6-3-3-3-2-2-2-200333i3−3i33i3−3i322111100000000000000-1-1−i3i3−i3i3000000000000000000000000000000
χ6866-6-66006-6-6-22-220000000000-22-22000000000000000000000000000000000000002−22−2−22−220000
χ6966-6-66006-6-6-22-220000000000-22-2200000000000000000000000000000000000000−22−222−22−20000
χ706-66-66-66-6-66-2-22200-6600002-2-2-222000000000000002-20000000000000000000000000000000000
χ716-66-6-36-633-3-2-2226-6-33-3-333-2211-1-1000000000000-221-111-1-1000000000000000000000000000000
χ726-66-6-36-633-3-2-222-66-3333-3-3-2211-1-10000000000002-21-1-1-111000000000000000000000000000000
χ736-66-6-3-6633-3-2-222003-3−3i33i33i3−3i32-211-1-100000000000000-11i3−i3−i3i3000000000000000000000000000000
χ746-66-6-3-6633-3-2-222003-33i3−3i3−3i33i32-211-1-100000000000000-11−i3i3i3−i3000000000000000000000000000000
χ756-6-66600-66-6-222-20000000000-222-200000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ766-6-66600-66-6-222-20000000000-222-200000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ771212-12-12-600-666-44-4400000000002-22-200000000000000000000000000000000000000000000000000
χ7812-12-1212-6006-66-444-400000000002-2-2200000000000000000000000000000000000000000000000000

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