Finite Group Databasebeta

← Group #11922214

Character table — Group #11922214

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222666666666688881212121212121212121212121212121212161616161616161616162424242424363636363636484848487272
order122222366666662244448888366644488121212122424242424242424366666666641212121244888866121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1
χ311111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1-111-1-1-1-11111-1-11111111111-111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-11-1-11111-1-1-11
χ61111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-111-1111-1-111-1-11-1
χ71111-1-111-1-1-1-111-1-1111111111111-111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-11-111-1-1-1-1111-1
χ81111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-1111-1-1-111-1-111-11
χ9222222222222222222220000-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-100000220000-1-1-1-100
χ1022222222222222-2-2-2-2220000-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-100000-2-20000111100
χ11222222-1-1-1-1-1-1-1-10000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1000000000000
χ12222222-1-1-1-1-1-1-1-1000022-2-2-2-222222-2-2-2-2-1-1-1-111111111-122-1-1-1-1-1-1-1-21111000000000000
χ132222-2-222-2-2-2-22222-2-2220000-1-1-1-1-200002-2-2200000000-111-1-1-1111100000-220000-1-11100
χ142222-2-222-2-2-2-222-2-222220000-1-1-1-1-200002-2-2200000000-111-1-1-11111000002-2000011-1-100
χ152222-2-2-1-11111-1-100002222222222-222-2-2-111-1-1-1-1-11111-1-2-2-1-1-11111-2-1-111000000000000
χ162222-2-2-1-11111-1-1000022-2-2-2-22222-2-2-222-111-11111-1-1-1-1-1-2-2-1-1-11111211-1-1000000000000
χ172-22-2002-200002-200002-22i2i−2i−2i22-2-202i−2i00200-22i2i−2i−2i00002002-2-2000002i−2i00000000000000
χ182-22-2002-200002-200002-2−2i−2i2i2i22-2-20−2i2i00200-2−2i−2i2i2i00002002-2-200000−2i2i00000000000000
χ192-22-200-11−i3−i3i3i3-1100002-22i2i−2i−2i22-2-202i−2i00-1−i3i31−i−iii33−3−3-100-111−i3−i3i3i30−ii3−3000000000000
χ202-22-200-11−i3−i3i3i3-1100002-2−2i−2i2i2i22-2-20−2i2i00-1−i3i31ii−i−i−3−333-100-111−i3−i3i3i30i−i−33000000000000
χ212-22-200-11i3i3−i3−i3-1100002-22i2i−2i−2i22-2-202i−2i00-1i3−i31−i−iii−3−333-100-111i3i3−i3−i30−ii−33000000000000
χ222-22-200-11i3i3−i3−i3-1100002-2−2i−2i2i2i22-2-20−2i2i00-1i3−i31ii−i−i33−3−3-100-111i3i3−i3−i30i−i3−3000000000000
χ232-2-222-22-22-22-2-222-22-200−i2i2−i2i2-111-1000−i2i20000−i2i2−i2i2−i2i2−i2i2-11-111-11-11-10000000−i2i2−i2i21-11-100
χ242-2-222-22-22-22-2-222-22-200i2−i2i2−i2-111-1000i2−i20000i2−i2i2−i2i2−i2i2−i2-11-111-11-11-10000000i2−i2i2−i21-11-100
χ252-2-222-22-22-22-2-22-22-2200−i2i2−i2i2-111-1000−i2i20000−i2i2−i2i2−i2i2−i2i2-11-111-11-11-10000000i2−i2i2−i2-11-1100
χ262-2-222-22-22-22-2-22-22-2200i2−i2i2−i2-111-1000i2−i20000i2−i2i2−i2i2−i2i2−i2-11-111-11-11-10000000−i2i2−i2i2-11-1100
χ272-2-22-222-2-22-22-222-2-2200−i2i2−i2i2-111-1000i2−i20000−i2i2−i2i2i2−i2i2−i2-1-1111-1-11-110000000i2−i2−i2i21-1-1100
χ282-2-22-222-2-22-22-222-2-2200i2−i2i2−i2-111-1000−i2i20000i2−i2i2−i2−i2i2−i2i2-1-1111-1-11-110000000−i2i2i2−i21-1-1100
χ292-2-22-222-2-22-22-22-222-200−i2i2−i2i2-111-1000i2−i20000−i2i2−i2i2i2−i2i2−i2-1-1111-1-11-110000000−i2i2i2−i2-111-100
χ302-2-22-222-2-22-22-22-222-200i2−i2i2−i2-111-1000−i2i20000i2−i2i2−i2−i2i2−i2i2-1-1111-1-11-110000000i2−i2−i2i2-111-100
χ31333333333333333333-1-111110000-1-1-111-1-1-1-1111111110000000000-1-1-1-1-1-1-111110000-1-1
χ32333333333333333333-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1-1-1-1-1000011
χ3333333333333333-3-3-3-3-1-111110000-1-1-111-1-1-1-1111111110000000000-1-1-1-1-111-1-1-1-1000011
χ3433333333333333-3-3-3-3-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111111110000-1-1
χ353333-3-333-3-3-3-33333-3-3-1-1111100001-1-1-1-1-111-11111-1-1-1-100000000001-1-1111-1-1-11100001-1
χ363333-3-333-3-3-3-33333-3-3-1-1-1-1-1-1000011111-111-1-1-1-1-111110000000000-111-1-11-111-1-10000-11
χ373333-3-333-3-3-3-333-3-333-1-1111100001-1-1-1-1-111-11111-1-1-1-100000000001-1-111-1111-1-10000-11
χ383333-3-333-3-3-3-333-3-333-1-1-1-1-1-1000011111-111-1-1-1-1-111110000000000-111-1-1-11-1-11100001-1
χ39444444-2-2-2-2-2-2-2-20000440000-2-2-2-240000-2-2-2-2000000001-2-2111111100000000000000000
χ404444-4-4-2-22222-2-20000440000-2-2-2-2-40000-222-200000000122111-1-1-1-100000000000000000
χ4144-4-400440000-4-400000022−22−2222-22-2200000000022−22−22220000-2002-22000000000000000000000
χ4244-4-400440000-4-4000000−222222−22-22-22000000000−222222−220000-2002-22000000000000000000000
χ4344-4-400-2-2−2i32i32i3−2i32200000022−22−2222-22-22000000000−222−2−i6i6i6−i6100-11-1−i3i3i3−i300000000000000000
χ4444-4-400-2-2−2i32i32i3−2i322000000−222222−22-22-220000000002−2−22i6−i6−i6i6100-11-1−i3i3i3−i300000000000000000
χ4544-4-400-2-22i3−2i3−2i32i32200000022−22−2222-22-22000000000−222−2i6−i6−i6i6100-11-1i3−i3−i3i300000000000000000
χ4644-4-400-2-22i3−2i3−2i32i322000000−222222−22-22-220000000002−2−22−i6i6i6−i6100-11-1i3−i3−i3i300000000000000000
χ474-44-4004-400004-400004-40000-2-22200000400-400000000-200-222000000000000000000000
χ484-44-400-22−2i3−2i32i32i3-2200004-40000-2-22200000-2−2i32i32000000001001-1-1i3i3−i3−i300000000000000000
χ494-44-400-222i32i3−2i3−2i3-2200004-40000-2-22200000-22i3−2i32000000001001-1-1−i3−i3i3i300000000000000000
χ504-4-444-44-44-44-4-444-44-40000001-1-11000000000000000001-11-1-11-11-1100000000000-11-1100
χ514-4-444-44-44-44-4-44-44-440000001-1-11000000000000000001-11-1-11-11-11000000000001-11-100
χ524-4-444-4-22-22-222-2000000−2i22i2−2i22i2-222-2000−2i22i20000i2−i2i2−i2i2−i2i2−i212-2-1-11-11-1100000000000000000
χ534-4-444-4-22-22-222-20000002i2−2i22i2−2i2-222-20002i2−2i20000−i2i2−i2i2−i2i2−i2i212-2-1-11-11-1100000000000000000
χ544-4-44-444-4-44-44-444-4-440000001-1-110000000000000000011-1-1-111-11-100000000000-111-100
χ554-4-44-444-4-44-44-44-444-40000001-1-110000000000000000011-1-1-111-11-1000000000001-1-1100
χ564-4-44-44-222-22-22-2000000−2i22i2−2i22i2-222-20002i2−2i20000i2−i2i2−i2−i2i2−i2i21-22-1-111-11-100000000000000000
χ574-4-44-44-222-22-22-20000002i2−2i22i2−2i2-222-2000−2i22i20000−i2i2−i2i2i2−i2i2−i21-22-1-111-11-100000000000000000
χ58666666-3-3-3-3-3-3-3-30000-2-222220000-2-2-2221111-1-1-1-1-1-1-1-10000000000-21111000000000000
χ59666666-3-3-3-3-3-3-3-30000-2-2-2-2-2-20000-222-2-211111111111100000000002-1-1-1-1000000000000
χ606666-6-6-3-33333-3-30000-2-2222200002-2-2-2-21-1-11-1-1-1-111110000000000211-1-1000000000000
χ616666-6-6-3-33333-3-30000-2-2-2-2-2-20000222221-1-111111-1-1-1-10000000000-2-1-111000000000000
χ626-66-6006-600006-60000-222i2i−2i−2i00000−2i2i00-20022i2i−2i−2i000000000000000−2i2i00000000000000
χ636-66-6006-600006-60000-22−2i−2i2i2i000002i−2i00-2002−2i−2i2i2i0000000000000002i−2i00000000000000
χ646-66-600-33−3i3−3i33i33i3-330000-222i2i−2i−2i00000−2i2i001i3−i3-1−i−iii33−3−300000000000i−i−33000000000000
χ656-66-600-33−3i3−3i33i33i3-330000-22−2i−2i2i2i000002i−2i001i3−i3-1ii−i−i−3−33300000000000−ii3−3000000000000
χ666-66-600-333i33i3−3i3−3i3-330000-222i2i−2i−2i00000−2i2i001−i3i3-1−i−iii−3−33300000000000i−i3−3000000000000
χ676-66-600-333i33i3−3i3−3i3-330000-22−2i−2i2i2i000002i−2i001−i3i3-1ii−i−i33−3−300000000000−ii−33000000000000
χ6888-8-800880000-8-800000000002-22-200000000000000000200-22-2000000000000000000000
χ6988-8-800-4-4−4i34i34i3−4i34400000000002-22-200000000000000000-1001-11i3−i3−i3i300000000000000000
χ7088-8-800-4-44i3−4i3−4i34i34400000000002-22-200000000000000000-1001-11−i3i3i3−i300000000000000000
χ718-8-888-8-44-44-444-400000000002-2-2200000000000000000-1-2211-11-11-100000000000000000
χ728-8-88-88-444-44-44-400000000002-2-2200000000000000000-12-211-1-11-1100000000000000000

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