Finite Group Databasebeta

← Group #11864864

Character table — Group #11864864

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444888888881212121212122422444448888816161616161616162424242424244833666661212121212242424242424242436363636363672
order1223446246121226668122424244444836631212661261212666624122424612121212122422264462461212266681224242444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1
χ3111111111111-11-1-1-11-1-11111-1-1-1111111111111-11-1-1-11-1-11111-1-1-1111111111111-11-1-1-11-1-11111-1-1-1
χ4111111111111-11-1-1-11-1-1-1-1-1-1111111111111111-11-1-1-11-1-1-1-1-1-1111111111111111-11-1-1-11-1-1-1-1-1-1111
χ51111111-1-11111-111-1-1-1-111-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-1-11
χ61111111-1-11111-111-1-1-1-1-1-11111-11111111-1-11111-111-1-1-1-1-1-11111-11111111-1-11111-111-1-1-1-1-1-11111-1
χ71111111-1-1111-1-1-1-11-11111-1-111-11111111-1-1111-1-1-1-11-11111-1-111-11111111-1-1111-1-1-1-11-11111-1-111-1
χ81111111-1-1111-1-1-1-11-111-1-111-1-111111111-1-1111-1-1-1-11-111-1-111-1-111111111-1-1111-1-1-1-11-111-1-111-1-11
χ92222-2-22002-2-200000000002-20002222-2-22002-2-200000000002-20002222-2-22002-2-200000000002-2000
χ102222-2-22002-2-20000000000-220002222-2-22002-2-20000000000-220002222-2-22002-2-20000000000-22000
χ11222-122-122-1-1-12-1-1-12-1-1-10000000222-122-122-1-1-12-1-1-12-1-1-10000000222-122-122-1-1-12-1-1-12-1-1-10000000
χ12222-122-122-1-1-1-2-111-2-1110000000222-122-122-1-1-1-2-111-2-1110000000222-122-122-1-1-1-2-111-2-1110000000
χ13222-122-1-2-2-1-1-121-1-1-21110000000222-122-1-2-2-1-1-121-1-1-21110000000222-122-1-2-2-1-1-121-1-1-21110000000
χ14222-122-1-2-2-1-1-1-211121-1-10000000222-122-1-2-2-1-1-1-211121-1-10000000222-122-1-2-2-1-1-1-211121-1-10000000
χ1522-222-222-2-2-2202000-200000000022-222-222-2-2-2202000-200000000022-222-222-2-2-2202000-2000000000
χ1622-222-22-22-2-220-2000200000000022-222-22-22-2-220-2000200000000022-222-22-22-2-220-20002000000000
χ1722-22-22200-22-2000000002-20000022-22-22200-22-2000000002-20000022-22-22200-22-2000000002-200000
χ1822-22-22200-22-200000000-220000022-22-22200-22-200000000-220000022-22-22200-22-200000000-2200000
χ1922-2-12-2-12-211-10-1−i3i301−i3i3000000022-2-12-2-12-211-10-1−i3i301−i3i3000000022-2-12-2-12-211-10-1−i3i301−i3i30000000
χ2022-2-12-2-12-211-10-1i3−i301i3−i3000000022-2-12-2-12-211-10-1i3−i301i3−i3000000022-2-12-2-12-211-10-1i3−i301i3−i30000000
χ2122-2-12-2-1-2211-101−i3i30-1i3−i3000000022-2-12-2-1-2211-101−i3i30-1i3−i3000000022-2-12-2-1-2211-101−i3i30-1i3−i30000000
χ2222-2-12-2-1-2211-101i3−i30-1−i3i3000000022-2-12-2-1-2211-101i3−i30-1−i3i3000000022-2-12-2-1-2211-101i3−i30-1−i3i30000000
χ23444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000
χ2444-4-2-44-2002-2200000000000000044-4-2-44-2002-2200000000000000044-4-2-44-2002-22000000000000000
χ254-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i0
χ264-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i0
χ278-80-4004000000000000000000008-80-4004000000000000000000008-80-400400000000000000000000
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2911111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ30111111111111-11-1-1-11-1-11111-1-1-1111111111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-1111
χ31111111111111-11-1-1-11-1-1-1-1-1-1111111111111111-11-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-1-1
χ321111111-1-11111-111-1-1-1-111-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-11111-1
χ331111111-1-11111-111-1-1-1-1-1-11111-11111111-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11
χ341111111-1-1111-1-1-1-11-11111-1-111-11111111-1-1111-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-111-1-1-11111-11-1-1-1-111-1-11
χ351111111-1-1111-1-1-1-11-111-1-111-1-111111111-1-1111-1-1-1-11-111-1-111-1-11-1-1-1-1-1-1-111-1-1-11111-11-1-111-1-111-1
χ362222-2-22002-2-200000000002-20002222-2-22002-2-200000000002-2000-2-2-2-222-200-2220000000000-22000
χ372222-2-22002-2-20000000000-220002222-2-22002-2-20000000000-22000-2-2-2-222-200-22200000000002-2000
χ38222-122-122-1-1-12-1-1-12-1-1-10000000222-122-122-1-1-12-1-1-12-1-1-10000000-2-2-21-2-21-2-2111-2111-21110000000
χ39222-122-122-1-1-1-2-111-2-1110000000222-122-122-1-1-1-2-111-2-1110000000-2-2-21-2-21-2-211121-1-121-1-10000000
χ40222-122-1-2-2-1-1-121-1-1-21110000000222-122-1-2-2-1-1-121-1-1-21110000000-2-2-21-2-2122111-2-1112-1-1-10000000
χ41222-122-1-2-2-1-1-1-211121-1-10000000222-122-1-2-2-1-1-1-211121-1-10000000-2-2-21-2-21221112-1-1-1-2-1110000000
χ4222-222-222-2-2-2202000-200000000022-222-222-2-2-2202000-2000000000-2-22-2-22-2-2222-20-20002000000000
χ4322-222-22-22-2-220-2000200000000022-222-22-22-2-220-20002000000000-2-22-2-22-22-222-202000-2000000000
χ4422-22-22200-22-2000000002-20000022-22-22200-22-2000000002-200000-2-22-22-2-2002-2200000000-2200000
χ4522-22-22200-22-200000000-220000022-22-22200-22-200000000-2200000-2-22-22-2-2002-22000000002-200000
χ4622-2-12-2-12-211-10-1−i3i301−i3i3000000022-2-12-2-12-211-10-1−i3i301−i3i30000000-2-221-221-22-1-1101i3−i30-1i3−i30000000
χ4722-2-12-2-12-211-10-1i3−i301i3−i3000000022-2-12-2-12-211-10-1i3−i301i3−i30000000-2-221-221-22-1-1101−i3i30-1−i3i30000000
χ4822-2-12-2-1-2211-101−i3i30-1i3−i3000000022-2-12-2-1-2211-101−i3i30-1i3−i30000000-2-221-2212-2-1-110-1i3−i301−i3i30000000
χ4922-2-12-2-1-2211-101i3−i30-1−i3i3000000022-2-12-2-1-2211-101i3−i30-1−i3i30000000-2-221-2212-2-1-110-1−i3i301i3−i30000000
χ50444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000-4-4-42442002-2-2000000000000000
χ5144-4-2-44-2002-2200000000000000044-4-2-44-2002-22000000000000000-4-4424-4200-22-2000000000000000
χ524-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i0-440-400400000000000000000−2i2i0
χ534-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i0-440-4004000000000000000002i−2i0
χ548-80-4004000000000000000000008-80-400400000000000000000000-880400-400000000000000000000
χ55222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ5622222222222222222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111000000000000000000000000000
χ57222222222222-22-2-2-22-2-22222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-1111000000000000000000000000000
χ58222222222222-22-2-2-22-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-1-1000000000000000000000000000
χ592222222-2-22222-222-2-2-2-222-2-2-2-22-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-11111-1000000000000000000000000000
χ602222222-2-22222-222-2-2-2-2-2-22222-2-1-1-1-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11000000000000000000000000000
χ612222222-2-2222-2-2-2-22-22222-2-222-2-1-1-1-1-1-1-111-1-1-11111-11-1-1-1-111-1-11000000000000000000000000000
χ622222222-2-2222-2-2-2-22-222-2-222-2-22-1-1-1-1-1-1-111-1-1-11111-11-1-111-1-111-1000000000000000000000000000
χ634444-4-44004-4-400000000004-4000-2-2-2-222-200-2220000000000-22000000000000000000000000000000
χ644444-4-44004-4-40000000000-44000-2-2-2-222-200-22200000000002-2000000000000000000000000000000
χ65444-244-244-2-2-24-2-2-24-2-2-20000000-2-2-21-2-21-2-2111-2111-21110000000000000000000000000000000000
χ66444-244-244-2-2-2-4-222-4-2220000000-2-2-21-2-21-2-211121-1-121-1-10000000000000000000000000000000000
χ67444-244-2-4-4-2-2-242-2-2-42220000000-2-2-21-2-2122111-2-1112-1-1-10000000000000000000000000000000000
χ68444-244-2-4-4-2-2-2-422242-2-20000000-2-2-21-2-21221112-1-1-1-2-1110000000000000000000000000000000000
χ6944-444-444-4-4-4404000-4000000000-2-22-2-22-2-2222-20-20002000000000000000000000000000000000000
χ7044-444-44-44-4-440-40004000000000-2-22-2-22-22-222-202000-2000000000000000000000000000000000000
χ7144-44-44400-44-4000000004-400000-2-22-22-2-2002-2200000000-2200000000000000000000000000000000
χ7244-44-44400-44-400000000-4400000-2-22-22-2-2002-22000000002-200000000000000000000000000000000
χ7344-4-24-4-24-422-20-2−2i32i302−2i32i30000000-2-221-221-22-1-1101i3−i30-1i3−i30000000000000000000000000000000000
χ7444-4-24-4-24-422-20-22i3−2i3022i3−2i30000000-2-221-221-22-1-1101−i3i30-1−i3i30000000000000000000000000000000000
χ7544-4-24-4-2-4422-202−2i32i30-22i3−2i30000000-2-221-2212-2-1-110-1i3−i301−i3i30000000000000000000000000000000000
χ7644-4-24-4-2-4422-2022i3−2i30-2−2i32i30000000-2-221-2212-2-1-110-1−i3i301i3−i30000000000000000000000000000000000
χ77888-4-8-8-400-444000000000000000-4-4-42442002-2-2000000000000000000000000000000000000000000
χ7888-8-4-88-4004-44000000000000000-4-4424-4200-22-2000000000000000000000000000000000000000000
χ798-80800-8000000000000000004i−4i0-440-400400000000000000000−2i2i0000000000000000000000000000
χ808-80800-800000000000000000−4i4i0-440-4004000000000000000002i−2i0000000000000000000000000000
χ8116-160-800800000000000000000000-880400-400000000000000000000000000000000000000000000000

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