Finite Group Databasebeta

← Group #11921871

Character table — Group #11921871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222222334466666668888121212121616161616161616161624242424242424242424242436364848484872727272
order1223446662212122446666361212881212366661212121212224466661212121288242424242444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11-11-1-11111-1-11-11-1-1111111-11-11-1-1-11-111-1-11-11-111-1-111-1-11-111-1-11-1-11
χ611-11-11-1-11111-1-11-11-1-1111111-11-11-1-1-11-111-1-1-11-11-1-111-1-1111-111-1-1-111-1
χ711-11-11-1-11111-1-11-11-1-111111-111-11-1-1-11-111-1-11-11-111-1-111-1-1-11-1-111-111-1
χ811-11-11-1-11111-1-11-11-1-111111-111-11-1-1-11-111-1-1-11-11-1-111-1-111-11-1-1111-1-11
χ922222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1022222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ112222-2-222222-2-22-2-2222222-2-200-2-222222-2-2-2-2-20000000000000000000000
χ122222-2-222222-2-22-2-22222-1-11100-2-2-1-1-1-1-111111000000000000003−33−30000
χ132222-2-222222-2-22-2-22222-1-11100-2-2-1-1-1-1-11111100000000000000−33−330000
χ14222-122-1-1-122-1-1222-1-1-1-1222200-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222-122-1-1-122-1-1222-1-1-1-1222200-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000000
χ16222-1-2-2-1-1-122112-2-2-1-1-1-122-2-20011-12-1-1-1-211110000−i3i3−i3i3−i3i3−i3i30000000000
χ17222-1-2-2-1-1-122112-2-2-1-1-1-122-2-20011-12-1-1-1-211110000i3−i3i3−i3i3−i3i3−i30000000000
χ1822-222-2-2-2222-22-2-222-2-2222-2-200-222-2-2-222-2-2220000000000000000000000
χ1922-222-2-2-2222-22-2-222-2-22-1-11100-22-1111-1-111-1-1000000000000003−3−330000
χ2022-222-2-2-2222-22-2-222-2-22-1-11100-22-1111-1-111-1-100000000000000−333−30000
χ2122-22-22-2-22222-2-22-22-2-22-1-1-1-12-22-2-1111-11-1-1110000000000002-2-1-1110000
χ2222-22-22-2-22222-2-22-22-2-22-1-1-1-1-222-2-1111-11-1-111000000000000-2211-1-10000
χ2322-2-12-211-1221-1-2-22-111-122-2-2001-1-1-211-1211-1-10000−i3i3i3−i3−i3i3i3−i30000000000
χ2422-2-12-211-1221-1-2-22-111-122-2-2001-1-1-211-1211-1-10000i3−i3−i3i3i3−i3−i3i30000000000
χ2522-2-1-2211-122-11-22-2-111-1222200-11-1-211-1-2-1-1112-22-2-1-111-1-1110000000000
χ2622-2-1-2211-122-11-22-2-111-1222200-11-1-211-1-2-1-111-22-2211-1-111-1-10000000000
χ27333333333-1-133-1-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-1000011-1-1
χ28333333333-1-133-1-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-10000-1-111
χ29333333333-1-133-1-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-1110000-1-111
χ30333333333-1-133-1-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-1111111000011-1-1
χ3133-33-33-3-33-1-13-31-11-111-100003-3-1100000000001-1-1111-1-1-1-111-1100001-11-1
χ3233-33-33-3-33-1-13-31-11-111-100003-3-110000000000-111-1-1-11111-1-1-110000-11-11
χ3333-33-33-3-33-1-13-31-11-111-10000-33-1100000000001-1-1111-1-1-1-1111-10000-11-11
χ3433-33-33-3-33-1-13-31-11-111-10000-33-110000000000-111-1-1-11111-1-11-100001-11-1
χ35444-244-2-2-244-2-2444-2-2-2-2-2-2-2-200-2-21-2111-211110000000000000000000000
χ36444-2-4-4-2-2-244224-4-4-2-2-2-2-2-22200221-21112-1-1-1-10000000000000000000000
χ3744-4-24-422-2442-2-4-44-222-2-2-222002-212-1-11-2-1-1110000000000000000000000
χ3844-4-2-4422-244-22-44-4-222-2-2-2-2-200-2212-1-11211-1-10000000000000000000000
χ394-4040000-4-4400000-40044-40000004000-4000000000000000000000000000
χ404-4040000-4-4400000-4004-2223−230000-20002023−23000000000000000000000000
χ414-4040000-4-4400000-4004-22−23230000-200020−2323000000000000000000000000
χ424-40-200−2i32i32-44000002−2i32i3-24-4000000-20−2i32i32000000000000000000000000000
χ434-40-200−2i32i32-44000002−2i32i3-2-2223−23000010i3−i3-10−333i−3i0000000000000000000000
χ444-40-200−2i32i32-44000002−2i32i3-2-22−2323000010i3−i3-103−3−3i3i0000000000000000000000
χ454-40-2002i3−2i32-440000022i3−2i3-24-4000000-202i3−2i32000000000000000000000000000
χ464-40-2002i3−2i32-440000022i3−2i3-2-2223−23000010−i3i3-10−33−3i3i0000000000000000000000
χ474-40-2002i3−2i32-440000022i3−2i3-2-22−2323000010−i3i3-103−33i−3i0000000000000000000000
χ486666-6-6666-2-2-6-6-222-2-2-2-20000002200000000000000000000000000000000
χ49666-366-3-3-3-2-2-3-3-2-2-2111100000011000000000022-2-2-1-1-1-111110000000000
χ50666-366-3-3-3-2-2-3-3-2-2-21111000000110000000000-2-2221111-1-1-1-10000000000
χ51666-3-6-6-3-3-3-2-233-2221111000000-1-100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ52666-3-6-6-3-3-3-2-233-2221111000000-1-100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ5366-666-6-6-66-2-2-6622-2-222-20000002-200000000000000000000000000000000
χ5466-6-36-633-3-2-23-322-21-1-11000000-1100000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ5566-6-36-633-3-2-23-322-21-1-11000000-1100000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ5666-6-3-6633-3-2-2-332-221-1-110000001-100000000002-2-22-1-11111-1-10000000000
χ5766-6-3-6633-3-2-2-332-221-1-110000001-10000000000-222-211-1-1-1-1110000000000
χ5812-120120000-124-400000400-40000000000000000000000000000000000000000
χ5912-120-600−6i36i364-400000-22i3−2i320000000000000000000000000000000000000000
χ6012-120-6006i3−6i364-400000-2−2i32i320000000000000000000000000000000000000000

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