Finite Group Databasebeta

← Group #11889453

Character table — Group #11889453

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order122233446666663446668812121212412121212121224242424242424242444121212121212121212122244446881212121212242424244448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-111-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-11-1-111111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-111-11-111-1-1-1-111-11111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-111-1-11-11-1-11111-1-1-111111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-111-1-1-1-1-111111-1-1-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-11-111-1-11-1-1-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-111-11-11-1-1-111-1-111-1-1-1111-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11-1-11-11-1111-1-111-1-1-1-1-111-111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-111-111111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-222-2-2000000-2-20000200-20000000020000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-22-2-2-2-2-2000000220000200200000000-20000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22-222222000000220000-200-200000000-20000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-222000000-2-20000-20020000000020000000
χ2122222-122-122-1-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1200200-1-1-12-1-1-1-1002200-1200-1-100-1-10000000-100
χ2222222-122-122-1-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-200-20011-12-1-1-1-100-2-2001-2001100110000000100
χ2322222-122-122-1-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-21111200200-1-11-2-1-111002-200-1-200-1-100110000000100
χ2422222-122-122-1-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-21111-200-200111-2-1-11100-220012001100-1-10000000-100
χ2522222-122-122-1-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1200200-1-11-2111100-2-200-12001100-1-10000000100
χ2622222-122-122-1-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1-200-200111-211110022001-200-1-100110000000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111200200-1-1-1211-1-100-2200-1-2001100110000000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111-200-20011-1211-1-1002-2001200-1-100-1-10000000100
χ292222-12222-1-122-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10220-1-1002-1-1-1-1-1000022002-100-1-100-1-1000000-10
χ302222-12222-1-122-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10-2-2011002-1-1-1-1-10000-2-200-210011001100000010
χ312222-12222-1-122-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110220-1-100-21-1-11100002-200-2-100-1-1001100000010
χ322222-12222-1-122-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110-2-201100-21-1-1110000-220021001100-1-1000000-10
χ332222-12222-1-122-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10220-1-100-2111110000-2-2002-1001100-1-100000010
χ342222-12222-1-122-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10-2-201100-21111100002200-2100-1-10011000000-10
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-21111110220-1-1002-111-1-10000-2200-2-100110011000000-10
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-21111110-2-2011002-111-1-100002-2002100-1-100-1-100000010
χ372-2-22222-2-2-2-22-2222i−2i-2-22002-22-202i−2i2i−2i2-20000000000000000002i−2i0000000000000000000002-22i−2i000
χ382-2-22222-2-2-2-22-2222i−2i-2-22002-22-202i−2i2i−2i2-20000000000000000002i−2i000000000000000000000-22−2i2i000
χ392-2-22222-2-2-2-22-222−2i2i-2-22002-22-20−2i2i−2i2i2-2000000000000000000−2i2i0000000000000000000002-2−2i2i000
χ402-2-22222-2-2-2-22-222−2i2i-2-22002-22-20−2i2i−2i2i2-2000000000000000000−2i2i000000000000000000000-222i−2i000
χ4144444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000400-40022000000000000-20000000000000000000
χ4244444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000-400400-2-200000000000020000000000000000000
χ434444-24-4-44-2-244-2-200-2-2-2002-4-4200000220000000004-40-2-20000000000000000020000000000000000
χ444444-24-4-44-2-244-2-200-2-2-2002-4-420000022000000000-4402200000000000000000-20000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000002211-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-2-1-11100000000000000000000000000
χ4944-4-44400-44-4-44-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000
χ5044-4-44400-44-4-44-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000
χ5144-4-44-20024-42-2-4-200-22222−2200000000000−2222−22−2−22200000023−23000000000000000000006−60000000000
χ5244-4-44-20024-42-2-4-200-22222−2200000000000−2222−22−2−222000000−232300000000000000000000−660000000000
χ5344-4-44-20024-42-2-4-200-222−2222000000000002−2−222222−2−200000023−2300000000000000000000−660000000000
χ5444-4-44-20024-42-2-4-200-222−2222000000000002−2−222222−2−2000000−2323000000000000000000006−60000000000
χ5544-4-4-2400-4-22-442-200-22222−220000000000022−22−22−2−2220000−2i32i3000000000000000000000000i6−i600000000
χ5644-4-4-2400-4-22-442-200-22222−220000000000022−22−22−2−22200002i3−2i3000000000000000000000000−i6i600000000
χ5744-4-4-2400-4-22-442-200-222−222200000000000−22222−222−2−20000−2i32i3000000000000000000000000−i6i600000000
χ5844-4-4-2400-4-22-442-200-222−222200000000000−22222−222−2−200002i3−2i3000000000000000000000000i6−i600000000
χ594-44-444004-44-4-4-4400-44-4000000000000000000000000000000000004-4000000000000000000000000
χ604-44-444004-44-4-4-4400-44-400000000000000000000000000000000000-44000000000000000000000000
χ614-4-4444-44-4-4-44-44400-4-4400-44-4400000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-42-4-4-224-24i−4i22-20042-2-40−2i2i4i−4i-22000000000000000000−2i2i0000000000000000000000000000
χ634-4-444-24-42-4-4-224-2−4i4i22-20042-2-402i−2i−4i4i-220000000000000000002i−2i0000000000000000000000000000
χ644-4-444-2-442-4-4-224-20022-200-4-224000002-20000000000000000000000000000000023−2300000000000000
χ654-4-444-2-442-4-4-224-20022-200-4-224000002-200000000000000000000000000000000−232300000000000000
χ664-4-44-244-4-4224-4-2-24i−4i22-200-2-44204i−4i−2i2i-22000000000000000000−2i2i0000000000000000000000000000
χ674-4-44-244-4-4224-4-2-2−4i4i22-200-2-4420−4i4i2i−2i-220000000000000000002i−2i0000000000000000000000000000
χ684-4-44-24-44-4224-4-2-20022-20024-4-2000002-20000000000000000000000000000000000−2i32i3000000000000
χ694-4-44-24-44-4224-4-2-20022-20024-4-2000002-200000000000000000000000000000000002i3−2i3000000000000
χ704-4-44-2-24-4222-22-214i−4i-1-1100-22-220−2i2i−2i2i1-100003i−3i3i−3i0000000000i−i3-300000000000000000000000000
χ714-4-44-2-24-4222-22-214i−4i-1-1100-22-220−2i2i−2i2i1-10000−3i3i−3i3i0000000000i−i-3300000000000000000000000000
χ724-4-44-2-24-4222-22-21−4i4i-1-1100-22-2202i−2i2i−2i1-100003i−3i3i−3i0000000000−ii-3300000000000000000000000000
χ734-4-44-2-24-4222-22-21−4i4i-1-1100-22-2202i−2i2i−2i1-10000−3i3i−3i3i0000000000−ii3-300000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-444-442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7688-8-8-4-4004-444-442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ778-88-88-400-4-8844-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-480084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-4444200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ808-88-8-4-400-44-4444200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-4200-2-22004-44-400000-22000000000000000000000000000000000000000000000000

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