Finite Group Databasebeta

← Group #11864648

Character table — Group #11864648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212122222224412121212121222442444666666661212228888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111
χ611111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1111111-1-1
χ711111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-111111-1-1111-1-1-1-11111-1-11111-1-1-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-11-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-111-1-111111-1-1-111-11-11
χ111111-1-1111-1111111-1-1-1-111-1-1-1-111-1-11111111-1-1-11111-1-111-1-111-1-1-1-11-1-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-111-1-1-1-111-1-1111-111-1-1-111-1
χ131111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-11-11111-1-1-1-1-1-1-11-1-111-111-1
χ141111-1-111-11111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-11-11-1-111-1-1-1-111-1111-1-11-1-11
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1111-11-111-1-11111-1-1-1111-1-1-11-11
χ161111-1-111-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-11-1-1-1-1111111-11-1-1111-11-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222222-2-2-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-2-2-222-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-222-22222222-2-2-2-2-2-222000000000000-2222-2-2000000000000002-200000000
χ212-2-222-22200-2-2-22-2222-2-2000000002-22-222-2-2002-22-200000000002-2000000000000
χ222-2-222-22200-2-2-22-2222-2-200000000-22-22-2-222002-22-20000000000-22000000000000
χ232-2-222-22200-2-2-22-2222-2-200002-22-20000000000-22-220000002-22-200000000000000
χ242-2-222-22200-2-2-22-2222-2-20000-22-220000000000-22-22000000-22-2200000000000000
χ252-2-22-222200-2-2-22-22-2-222000000002-2-22-2-22200-222-200000000002-2000000000000
χ262-2-22-222200-2-2-22-22-2-22200000000-222-222-2-200-222-20000000000-22000000000000
χ272-2-22-222200-2-2-22-22-2-22200002-2-2200000000002-2-220000002-2-2200000000000000
χ282-2-22-222200-2-2-22-22-2-2220000-222-200000000002-2-22000000-222-200000000000000
χ294444441-2441-2-211-21-21-2-2-2-2-20000000000001100002222-1-1000000-1-1000000-1-100
χ304444441-2441-2-211-21-21-2-2-2-2-2000000000000110000-2-2-2-211000000110000001100
χ314444441-2-4-41-2-211-21-21-22222000000000000-1-100002-2-22-1-1000000-1-10000001100
χ324444441-2-4-41-2-211-21-21-22222000000000000-1-10000-222-21100000011000000-1-100
χ33444444-2144-211-2-21-21-21111122222222-1-1-1-1-2-20000000000-1-1-1-1-1-1000000000000
χ34444444-2144-211-2-21-21-211111-2-2-2-2-2-2-2-21111-2-20000000000111111000000000000
χ35444444-21-4-4-211-2-21-21-21-1-1-1-12222-2-2-2-21111220000000000-1-1-1-111000000000000
χ36444444-21-4-4-211-2-21-21-21-1-1-1-1-2-2-2-22222-1-1-1-12200000000001111-1-1000000000000
χ374444-4-41-24-41-2-211-2-12-12-2-2220000000000001-1000022-2-2-1-100000011000000-1100
χ384444-4-41-24-41-2-211-2-12-12-2-2220000000000001-10000-2-22211000000-1-10000001-100
χ394444-4-41-2-441-2-211-2-12-1222-2-2000000000000-1100002-22-2-1-1000000110000001-100
χ404444-4-41-2-441-2-211-2-12-1222-2-2000000000000-110000-22-2211000000-1-1000000-1100
χ414444-4-4-214-4-211-2-212-12-111-1-122-2-222-2-21111-220000000000-1-111-1-1000000000000
χ424444-4-4-214-4-211-2-212-12-111-1-1-2-222-2-222-1-1-1-1-22000000000011-1-111000000000000
χ434444-4-4-21-44-211-2-212-12-1-1-11122-2-2-2-222-1-1-1-12-20000000000-1-11111000000000000
χ444444-4-4-21-44-211-2-212-12-1-1-111-2-22222-2-211112-2000000000011-1-1-1-1000000000000
χ4544-4-400440044-4-4-4-400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-400440044-4-4-4-4000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4004400-4-44-44-400000000000000000000000000000000000000000022−22000000
χ484-44-4004400-4-44-44-4000000000000000000000000000000000000000000−2222000000
χ494-4-444-4-21002-1-1-221-212-13-33-32-22-22-22-2-1-111000000000000-11-11-11000000000000
χ504-4-444-4-21002-1-1-221-212-13-33-3-22-22-22-2211-1-10000000000001-11-11-1000000000000
χ514-4-444-4-21002-1-1-221-212-1-33-332-22-2-22-2211-1-1000000000000-11-111-1000000000000
χ524-4-444-4-21002-1-1-221-212-1-33-33-22-222-22-2-1-1110000000000001-11-1-11000000000000
χ534-4-44-44-21002-1-1-2212-1-213-3-332-2-222-2-2211-1-1000000000000-111-1-11000000000000
χ544-4-44-44-21002-1-1-2212-1-213-3-33-222-2-222-2-1-1110000000000001-1-111-1000000000000
χ554-4-44-44-21002-1-1-2212-1-21-333-32-2-22-222-2-1-111000000000000-111-11-1000000000000
χ564-4-44-44-21002-1-1-2212-1-21-333-3-222-22-2-2211-1-10000000000001-1-11-11000000000000
χ5788-8-8002-4002-44-2-24000000000000000000000000000000−2i32i3000000000000000000
χ5888-8-8002-4002-44-2-240000000000000000000000000000002i3−2i3000000000000000000
χ5988-8-800-4200-42-244-2000000000000000023−2323−23000000000000000000000000000000
χ6088-8-800-4200-42-244-20000000000000000−2323−2323000000000000000000000000000000
χ618-88-8002-400-24-4-2240000000000000000000000000000000000000023−230000000000
χ628-88-8002-400-24-4-22400000000000000000000000000000000000000−23230000000000
χ638-88-800-42004-224-4-2000000000000000023−23−2323000000000000000000000000000000
χ648-88-800-42004-224-4-20000000000000000−232323−23000000000000000000000000000000
χ658-8-888-82-400-2442-2-42-4-240000000000000000000000000000000000000000000000
χ668-8-88-882-400-2442-2-4-242-40000000000000000000000000000000000000000000000

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