Finite Group Databasebeta

← Group #11896055

Character table — Group #11896055

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order122233446666663446668812121212212121212121224242424242424244444121212126666121244444488121212121212242424244448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1111111-1-11-11-11-1111-1-1-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111111111-1-1-11-11-11-1-1-1111-1-111-1-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-11111-111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-11-1-111-1-1-1-111111-1-111-1111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-11111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-11111-1-111-1-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-11-11-1-11-1111-1-1-1-11111-1-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11-1-11-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-1-11-111-1-1-111-1-111-1-1-1111-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-111-11-1-1111-1-111-1-1-1-1-111-111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-111-1111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-2222200000022000000-200-200000000-200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-2222-2-2000000-2-2000000-200200000000200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-2-2-222000000-2-2000000200-200000000200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-2-2-200000022000000200200000000-200000
χ2122222-1222-122-1-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1020200-1-12-1-1-1-1-100020202000-1-1-100-1-1000000-10
χ2222222-1222-122-1-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-20-200112-1-1-1-1-1000-20-20-2000111001100000010
χ2322222-1222-122-1-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111020200-1-1-2111-1-1000-2020-2000-1-1-1001100000010
χ2422222-1222-122-1-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-20-20011-2111-1-100020-20200011100-1-1000000-10
χ2522222-1222-122-1-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020200-1-1-211111000-20-202000-11100-1-100000010
χ2622222-1222-122-1-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-20-20011-2111110002020-20001-1-10011000000-10
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111020200-1-12-1-1-11100020-20-2000-1110011000000-10
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-20-200112-1-1-111000-202020001-1-100-1-100000010
χ292222-1222-12-1-122-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-12020-1-100-12-1-1-1-100202020-1-1-1000-1-10000000-100
χ302222-1222-12-1-122-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-201100-12-1-1-1-100-20-20-20111000110000000100
χ312222-1222-12-1-122-122-1-1-1-2-2-12-12-2-1-122-1-111-2-211112020-1-1001-211-1-100-2020-20-1-1-1000110000000100
χ322222-1222-12-1-122-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2011001-211-1-10020-2020111000-1-10000000-100
χ332222-1222-12-1-122-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-12020-1-1001-2111100-20-2020-111000-1-10000000100
χ342222-1222-12-1-122-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-2011001-21111002020-201-1-1000110000000-100
χ352222-1222-12-1-122-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-211112020-1-100-12-1-1110020-20-20-111000110000000-100
χ362222-1222-12-1-122-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-201100-12-1-11100-2020201-1-1000-1-10000000100
χ3722-2-2222-2-2-22-22-222-2-2-2200-2-22202-22-2-22000000000000000000002-20000000000000000002i−2i02i−2i000
χ3822-2-2222-2-2-22-22-222-2-2-2200-2-22202-22-2-22000000000000000000002-2000000000000000000−2i2i0−2i2i000
χ3922-2-2222-2-2-22-22-22-22-2-2200-2-2220-22-22-2200000000000000000000-220000000000000000002i−2i0−2i2i000
χ4022-2-2222-2-2-22-22-22-22-2-2200-2-2220-22-22-2200000000000000000000-22000000000000000000−2i2i02i−2i000
χ4144444-2-4-44-244-2-2-200-2-2-200-42-42000002200000000040-400-2-200000000000000000200000000000000
χ4244444-2-4-44-244-2-2-200-2-2-200-42-420000022000000000-404002200000000000000000-200000000000000
χ434444-24-4-4-24-2-244-200-2-2-2002-42-400000220000000040-40-2-20000000000000000200000000000000000
χ444444-24-4-4-24-2-244-200-2-2-2002-42-4000002200000000-4040220000000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000022-1-11100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-211-1-100000000000000000000000000
χ4944-4-444-44-4-44-44-4400-4-440044-4-4000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-4-424-4-22-24-422-200-424-204-4-222-200000000000000000000-2200000000000000000000000000
χ5144-4-44-24-4-424-4-22-2-4422-200-424-20-442-22-2000000000000000000002-200000000000000000000000000
χ5244-4-44-2-44-424-4-22-20022-2004-2-4200000-22000000000000000000000000000000000023−23000000000000
χ5344-4-44-2-44-424-4-22-20022-2004-2-4200000-220000000000000000000000000000000000−2323000000000000
χ5444-4-4-244-42-4-224-4-24-422-2002-4-240-224-42-200000000000000000000-2200000000000000000000000000
χ5544-4-4-244-42-4-224-4-2-4422-2002-4-2402-2-442-2000000000000000000002-200000000000000000000000000
χ5644-4-4-24-442-4-224-4-20022-200-242-400000-22000000000000000000000000000000023−23000000000000000
χ5744-4-4-24-442-4-224-4-20022-200-242-400000-220000000000000000000000000000000−2323000000000000000
χ5844-4-4-2-24-422-22-2214-4-1-110022-2-20-22-22-11000033-3-300000000003-31-100000000000000000000000000
χ5944-4-4-2-24-422-22-2214-4-1-110022-2-20-22-22-110000-3-3330000000000-331-100000000000000000000000000
χ6044-4-4-2-24-422-22-221-44-1-110022-2-202-22-2-11000033-3-30000000000-33-1100000000000000000000000000
χ6144-4-4-2-24-422-22-221-44-1-110022-2-202-22-2-110000-3-33300000000003-3-1100000000000000000000000000
χ624-44-4440044-4-4-4-44004-4-4000000000000000000000000000000000004-4000000000000000000000000
χ634-44-4440044-4-4-4-44004-4-400000000000000000000000000000000000-44000000000000000000000000
χ644-4-444400-4-4-44-44400-44-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ654-4-444400-4-4-44-44400-44-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ664-4-444-200-42-442-2-2002-22−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000023−230000000000000000000000i6−i600000000
χ674-4-444-200-42-442-2-2002-22−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000−23230000000000000000000000−i6i600000000
χ684-4-444-200-42-442-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000023−230000000000000000000000−i6i600000000
χ694-4-444-200-42-442-2-2002-222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000−23230000000000000000000000i6−i600000000
χ704-4-44-24002-42-2-44-2002-22−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000023−230000000000000000000000i6−i60000000000
χ714-4-44-24002-42-2-44-2002-22−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000−23230000000000000000000000−i6i60000000000
χ724-4-44-24002-42-2-44-2002-222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000023−230000000000000000000000−i6i60000000000
χ734-4-44-24002-42-2-44-2002-222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000−23230000000000000000000000i6−i60000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-4-8844-44-44200-2-2200-4-444000002-2000000000000000000000000000000000000000000000000
χ768-88-88-4008-4-8-844-400-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4800-4844-8-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-400-4-444442002-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ798-88-8-4-400-4-444442002-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ808-8-88-4-400444-44-4200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ818-8-88-4-400444-44-4200-22-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000

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