Finite Group Databasebeta

← Group #11921875

Character table — Group #11921875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222222334466666668888121212121616161616161616161624242424242424242424242436364848484872727272
order12234461212226122446612123612126881236666121212121224446612121212121288242424244444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11-111-1-111-11-11-111-1-11111-11-111-1-1-11-111-1-11-11-111-1-111-1-11-111-1-11-11-1
χ611-11-111-1-111-11-11-111-1-11111-11-111-1-1-11-111-1-1-11-11-1-111-1-1111-111-1-1-11-11
χ711-11-111-1-111-11-11-111-1-11111-1-1111-1-1-11-111-1-11-11-111-1-111-1-1-11-1-111-11-11
χ811-11-111-1-111-11-11-111-1-11111-1-1111-1-1-11-111-1-1-11-11-1-111-1-111-11-1-1111-11-1
χ922222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1022222222222222222222-1-1-1-12-2-22-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ112222-2-22-2-2222-22-2-222-2-222-2-2200-222222-2-2-2-2-20000000000000000000000
χ122222-2-22-2-2222-22-2-222-2-2-1-111200-2-1-1-1-1-111111000000000000003−33−30000
χ132222-2-22-2-2222-22-2-222-2-2-1-111200-2-1-1-1-1-11111100000000000000−33−330000
χ14222-122-1-1-122-1-1222-1-1-1-12222-100-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222-122-1-1-122-1-1222-1-1-1-12222-100-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000000
χ16222-1-2-2-11122-112-2-2-1-11122-2-2-1001-12-1-1-1-211110000−i3i3−i3i3−i3i3−i3i30000000000
χ17222-1-2-2-11122-112-2-2-1-11122-2-2-1001-12-1-1-1-211110000i3−i3i3−i3i3−i3i3−i30000000000
χ1822-222-222222-2-2-2-22222222-2-2-200-22-2-2-222-2-2220000000000000000000000
χ1922-222-222222-2-2-2-222222-1-111-200-2-1111-1-111-1-1000000000000003−3−330000
χ2022-222-222222-2-2-2-222222-1-111-200-2-1111-1-111-1-100000000000000−333−30000
χ2122-22-222-2-222-22-22-222-2-2-1-1-1-1-22-22-1111-11-1-1110000000000002-2-1-1110000
χ2222-22-222-2-222-22-22-222-2-2-1-1-1-1-2-222-1111-11-1-111000000000000-2211-1-10000
χ2322-2-12-2-1-1-12211-2-22-1-1-1-122-2-21001-1-211-1211-1-10000−i3i3i3−i3−i3i3i3−i30000000000
χ2422-2-12-2-1-1-12211-2-22-1-1-1-122-2-21001-1-211-1211-1-10000i3−i3−i3i3i3−i3−i3i30000000000
χ2522-2-1-22-111221-1-22-2-1-1112222100-1-1-211-1-2-1-1112-22-2-1-111-1-1110000000000
χ2622-2-1-22-111221-1-22-2-1-1112222100-1-1-211-1-2-1-111-22-2211-1-111-1-10000000000
χ27333333333-1-133-1-1-1-1-1-1-10000-133-1000000000011-1-11111-1-1-1-1-1-1000011-1-1
χ28333333333-1-133-1-1-1-1-1-1-10000-133-10000000000-1-111-1-1-1-11111-1-10000-1-111
χ29333333333-1-133-1-1-1-1-1-1-10000-1-3-3-1000000000011-1-11111-1-1-1-1110000-1-111
χ30333333333-1-133-1-1-1-1-1-1-10000-1-3-3-10000000000-1-111-1-1-1-1111111000011-1-1
χ3133-33-333-3-3-1-1-331-11-1-111000013-3-100000000001-1-1111-1-1-1-111-1100001-1-11
χ3233-33-333-3-3-1-1-331-11-1-111000013-3-10000000000-111-1-1-11111-1-1-110000-111-1
χ3333-33-333-3-3-1-1-331-11-1-11100001-33-100000000001-1-1111-1-1-1-1111-10000-111-1
χ3433-33-333-3-3-1-1-331-11-1-11100001-33-10000000000-111-1-1-11111-1-11-100001-1-11
χ35444-244-2-2-244-2-2444-2-2-2-2-2-2-2-2-200-21-2111-211110000000000000000000000
χ36444-2-4-4-22244-224-4-4-2-222-2-222-20021-21112-1-1-1-10000000000000000000000
χ3744-4-24-4-2-2-24422-4-44-2-2-2-2-2-222200212-1-11-2-1-1110000000000000000000000
χ3844-4-2-44-222442-2-44-4-2-222-2-2-2-2200-212-1-11211-1-10000000000000000000000
χ394-40400-4004-4000004-4004-40000004000-4000000000000000000000000000
χ404-40400-4004-4000004-400-2223−230000-20002023−23000000000000000000000000
χ414-40400-4004-4000004-400-22−23230000-200020−2323000000000000000000000000
χ424-40-200223−234-400000-2223−234-4000000-2000200023−230000000000000000000000
χ434-40-200223−234-400000-2223−23-2223−230000103-3-10−33−330000000000000000000000
χ444-40-200223−234-400000-2223−23-22−2323000010-33-103−3−330000000000000000000000
χ454-40-2002−23234-400000-22−23234-4000000-20002000−23230000000000000000000000
χ464-40-2002−23234-400000-22−2323-2223−23000010-33-10−333−30000000000000000000000
χ474-40-2002−23234-400000-22−2323-22−23230000103-3-103−33−30000000000000000000000
χ486666-6-66-6-6-2-26-6-222-2-2220000-200200000000000000000000000000000000
χ49666-366-3-3-3-2-2-3-3-2-2-2111100001001000000000022-2-2-1-1-1-111110000000000
χ50666-366-3-3-3-2-2-3-3-2-2-21111000010010000000000-2-2221111-1-1-1-10000000000
χ51666-3-6-6-333-2-2-33-22211-1-10000100-100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ52666-3-6-6-333-2-2-33-22211-1-10000100-100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ5366-666-6666-2-2-6-622-2-2-2-2-20000200200000000000000000000000000000000
χ5466-6-36-6-3-3-3-2-23322-211110000-100-100000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ5566-6-36-6-3-3-3-2-23322-211110000-100-100000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ5666-6-3-66-333-2-23-32-2211-1-10000-100100000000002-2-22-1-11111-1-10000000000
χ5766-6-3-66-333-2-23-32-2211-1-10000-10010000000000-222-211-1-1-1-1110000000000
χ5812-1201200-1200-4400000-44000000000000000000000000000000000000000000
χ5912-120-600663−63-44000002-2−23230000000000000000000000000000000000000000
χ6012-120-6006−6363-44000002-223−230000000000000000000000000000000000000000

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