Finite Group Databasebeta

← Group #11778424

Character table — Group #11778424

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order122222334466666666661212121266121212121212244444446612121212121212121212121212124428888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ1022222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-222002-2-2-222222-20000-2-2000000002-200000000-2-222000000002-200000
χ122222-2-222002-2-2-222222-20000-2-200000000-220000000022-2-2000000002-200000
χ132222-2-222002-2-2-222222-20000-2-20000002-200000022-2-2000000000000-2200000
χ142222-2-222002-2-2-222222-20000-2-2000000-22000000-2-222000000000000-2200000
χ1522-2-2-22222i−2i22-2-2-22-2-2-222i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000000000000000000−i2i22−2
χ1622-2-2-22222i−2i22-2-2-22-2-2-222i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000000000000000000i2−i2−22
χ1722-2-2-2222−2i2i22-2-2-22-2-2-22−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000000000000000000−i2i2−22
χ1822-2-2-2222−2i2i22-2-2-22-2-2-22−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000000000000000000i2−i22−2
χ194444441-24411111-2-2-211-2-2-2-2-2-21111-2-20000222200000000-1-1-1-1-1-1-1-10000000
χ204444441-24411111-2-2-211-2-2-2-2-2-21111-2-20000-2-2-2-200000000111111110000000
χ214444441-2-4-411111-2-2-2112222-2-2-1-1-1-122000022-2-200000000-1-1-1-111110000000
χ224444441-2-4-411111-2-2-2112222-2-2-1-1-1-1220000-2-222000000001111-1-1-1-10000000
χ23444444-2144-2-2-2-2-2111-2-2111111-2-2-2-21122220000-1-1-1-1-1-1-1-1000000000000000
χ24444444-2144-2-2-2-2-2111-2-2111111-2-2-2-211-2-2-2-2000011111111000000000000000
χ25444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-122-2-20000-1-1-1-11111000000000000000
χ26444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-1-2-22200001111-1-1-1-1000000000000000
χ274444-4-4-2100-2222-2111-223333-1-10000-3-32-2-220000-1-111-1-111000000000000000
χ284444-4-4-2100-2222-2111-223333-1-10000-3-3-222-2000011-1-111-1-1000000000000000
χ294444-4-4-2100-2222-2111-22-3-3-3-3-1-10000332-22-20000-1-11111-1-1000000000000000
χ304444-4-4-2100-2222-2111-22-3-3-3-3-1-1000033-22-22000011-1-1-1-111000000000000000
χ3144-4-44-444004-444-44-4-4-4-40000-440000000000000000000000000000000000000
χ3244-4-44-4-2100-22-2-221-1-1223i3i−3i−3i-110000−3i3i00000000−i3i3−i3i33−33−3000000000000000
χ3344-4-44-4-2100-22-2-221-1-1223i3i−3i−3i-110000−3i3i00000000i3−i3i3−i3−33−33000000000000000
χ3444-4-44-4-2100-22-2-221-1-122−3i−3i3i3i-1100003i−3i00000000−i3i3−i3i3−33−33000000000000000
χ3544-4-44-4-2100-22-2-221-1-122−3i−3i3i3i-1100003i−3i00000000i3−i3i3−i33−33−3000000000000000
χ3644-4-4-441-24i−4i11-1-1-1-222-11−2i−2i2i2i-22ii−i−i−2i2i000000000000000033−3−3−i3−i3i3i30000000
χ3744-4-4-441-24i−4i11-1-1-1-222-11−2i−2i2i2i-22ii−i−i−2i2i0000000000000000−3−333i3i3−i3−i30000000
χ3844-4-4-441-2−4i4i11-1-1-1-222-112i2i−2i−2i-22−i−iii2i−2i000000000000000033−3−3i3i3−i3−i30000000
χ3944-4-4-441-2−4i4i11-1-1-1-222-112i2i−2i−2i-22−i−iii2i−2i0000000000000000−3−333−i3−i3i3i30000000
χ4044-4-4-44-214i−4i-2-22221-1-12-2ii−i−i1-1−2i−2i2i2ii−i00000000−i3i3i3−i33−3−33000000000000000
χ4144-4-4-44-214i−4i-2-22221-1-12-2ii−i−i1-1−2i−2i2i2ii−i00000000i3−i3−i3i3−333−3000000000000000
χ4244-4-4-44-21−4i4i-2-22221-1-12-2−i−iii1-12i2i−2i−2i−ii00000000−i3i3i3−i3−333−3000000000000000
χ4344-4-4-44-21−4i4i-2-22221-1-12-2−i−iii1-12i2i−2i−2i−ii00000000i3−i3−i3i33−3−33000000000000000
χ444-44-4001-200-1-33-3122-2-13−2i32i3−2i32i300−i3i3−i3i3000000002i−2i000000003−33−3i−ii−i0000000
χ454-44-4001-200-1-33-3122-2-13−2i32i3−2i32i300−i3i3−i3i300000000−2i2i00000000−33−33−ii−ii0000000
χ464-44-4001-200-1-33-3122-2-132i3−2i32i3−2i300i3−i3i3−i3000000002i−2i00000000−33−33i−ii−i0000000
χ474-44-4001-200-1-33-3122-2-132i3−2i32i3−2i300i3−i3i3−i300000000−2i2i000000003−33−3−ii−ii0000000
χ484-44-4004400-40004-4-44-400000000000000000002i−2i000000000000−2i2i−2i2i0000000
χ494-44-4004400-40004-4-44-40000000000000000000−2i2i0000000000002i−2i2i−2i0000000
χ504-4-44001-200-1-3-33-12-221323−23−2323003−3−330000002-200000000001-1-11−333−30000000
χ514-4-44001-200-1-3-33-12-221323−23−2323003−3−33000000-220000000000-111-13−3−330000000
χ524-4-44001-200-1-3-33-12-2213−232323−2300−333−30000002-200000000001-1-113−3−330000000
χ534-4-44001-200-1-3-33-12-2213−232323−2300−333−3000000-220000000000-111-1−333−30000000
χ544-4-44004400-4000-4-44-44000000000000000002-20000000000-222-200000000000
χ554-4-44004400-4000-4-44-4400000000000000000-2200000000002-2-2200000000000
χ568888-8-82-4002-2-2-22-4-4-42-20000440000000000000000000000000000000000000
χ5788-8-88-82-4002-222-2-444-2-200004-40000000000000000000000000000000000000
χ588-88-8002-400-26-66244-4-2-60000000000000000000000000000000000000000000
χ598-88-800-42004000-4-2-2240−2i32i3−2i32i3002i3−2i32i3−2i3000000000000000000000000000000000
χ608-88-800-42004000-4-2-22402i3−2i32i3−2i300−2i32i3−2i32i3000000000000000000000000000000000
χ618-8-88002-400-266-6-24-442-60000000000000000000000000000000000000000000
χ628-8-8800-420040004-22-2-4023−23−232300−232323−23000000000000000000000000000000000
χ638-8-8800-420040004-22-2-40−232323−230023−23−2323000000000000000000000000000000000

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