Finite Group Databasebeta

← Group #72228362

Character table — Group #72228362

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11233336666668888889912121212121216181818181824242424242436363636363648484848484848484864646464727272727272727296969696
order122222222444433666622244444624444666666244444612121212121212123666244444446121212
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-11-1-1-11111111111111-11-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-1111111111-1111-111-1-1-1-11111111-1111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ511-11111-1-1111111-1-111111-1-11-1-1-1-111111-1-11111-1-11-1-1-111-1-111-1-111-1-1-11-11-111-11-11-1
χ611-11111-1-1111111-1-11111-1-11-11-1-1-111111-1-1111-1-11-11-1-111-1-111-1-111-1-11-11-11-1-11-11-11
χ711-11111-1-1-1-1-1-111-1-1111111-11-11-1-1-1-1-1-11-1-111111-11-11-1-1-111-1-11111-1-11-11-11-1-111-11-1
χ811-11111-1-1-1-1-1-111-1-11111-111-111-1-1-1-1-1-11-1-1111-111-111-1-1-111-1-11111-1-1-11-11-111-1-11-11
χ922222222200002-122-1222202220-120000222-1-12202220-100000000-1-1-1-100000000-1-1-1-1
χ1022222222200002-122-1222-20-2-2-20-120000222-1-12-20-2-2-20-100000000-1-1-1-1000000001111
χ112222222222222-12-1-12-122020002222222-1-1-122-10200022-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ12222222222-2-2-2-2-12-1-12-1220-2000-222-2-2-2-2-1-1-122-10-2000-2211111111-1-1-1-1000000000000
χ1322-22222-2-200002-1-2-2-122220-22-201-200002-2-2-1-1220-22-20100000000-1-11100000000-11-11
χ1422-22222-2-200002-1-2-2-1222-202-2201-200002-2-2-1-12-202-220100000000-1-111000000001-11-1
χ1522-22222-2-22222-12112-1220-2000-2-2-22222-11122-10-2000-2-2-1-111-1-111-1-111000000000000
χ1622-22222-2-2-2-2-2-2-12112-122020002-2-2-2-2-2-2-11122-1020002-211-1-111-1-1-1-111000000000000
χ172-2022-2-2002i−2i2i−2i2200-2-22-2000000002i−2i2i−2i2002-2-200000002i−2i002i−2i002-200000000000000
χ182-2022-2-2002i−2i2i−2i-12−i3i3-212-2000000002i−2i2i−2i-1−i3i32-210000000−ii3−3−ii3−3-11−i3i3000000000000
χ192-2022-2-2002i−2i2i−2i-12i3−i3-212-2000000002i−2i2i−2i-1i3−i32-210000000−ii−33−ii−33-11i3−i3000000000000
χ202-2022-2-200−2i2i−2i2i2200-2-22-200000000−2i2i−2i2i2002-2-20000000−2i2i00−2i2i002-200000000000000
χ212-2022-2-200−2i2i−2i2i-12−i3i3-212-200000000−2i2i−2i2i-1−i3i32-210000000i−i−33i−i−33-11−i3i3000000000000
χ222-2022-2-200−2i2i−2i2i-12i3−i3-212-200000000−2i2i−2i2i-1i3−i32-210000000i−i3−3i−i3−3-11i3−i3000000000000
χ233333-1-133-13333030030-1-1131-1-133-1-1-1-1-1000-1-101-11-1-1-1-1000000000000111-1-11-1-111-1-1
χ243333-1-133-13333030030-1-1-13-11133-1-1-1-1-1000-1-10-1-1-111-1-1000000000000-1-1-111-111-1-111
χ253333-1-133-1-3-3-3-3030030-1-11-31-1-1-33-11111000-1-10111-1-11-1000000000000-1-1-111-11111-1-1
χ263333-1-133-1-3-3-3-3030030-1-1-1-3-111-33-11111000-1-10-11-1111-1000000000000111-1-11-1-1-1-111
χ27333-133-1-1311-1-1303303-1-131333-10-111-1-1-1-1-100-1-11-1-1-1-101111-1-1-1-1000011-111-1-1-10000
χ28333-133-1-1311-1-1303303-1-1-31-3-3-3-10-111-1-1-1-1-100-111111-101111-1-1-1-10000-1-11-1-11110000
χ29333-133-1-13-1-111303303-1-13-133310-1-1-111-1-1-100-1-1-1-1-1-110-1-1-1-111110000-1-11-1-11110000
χ30333-133-1-13-1-111303303-1-1-3-1-3-3-310-1-1-111-1-1-100-11-111110-1-1-1-11111000011-111-1-1-10000
χ3133-33-1-13-313333030030-1-11-3-1-11-3-31-1-1-1-1000-1-1011-1-1111000000000000-11-1-111-111-1-11
χ3233-33-1-13-313333030030-1-1-1-311-1-3-31-1-1-1-1000-1-10-1111-1110000000000001-111-1-11-1-111-1
χ3333-33-1-13-31-3-3-3-3030030-1-113-1-113-311111000-1-101-1-1-11-110000000000001-111-1-11-11-1-11
χ3433-33-1-13-31-3-3-3-3030030-1-1-1311-13-311111000-1-10-1-111-1-11000000000000-11-1-111-11-111-1
χ3533-3-133-11-311-1-130-3-303-1-13-1-33-310111-1-1-11100-1-1-11-111011-1-1-1-1110000-1111-1-1-110000
χ3633-3-133-11-311-1-130-3-303-1-1-3-13-3310111-1-1-11100-11-1-11-11011-1-1-1-11100001-1-1-1111-10000
χ3733-3-133-11-3-1-11130-3-303-1-131-33-3-101-1-111-11100-1-111-11-10-1-11111-1-100001-1-1-1111-10000
χ3833-3-133-11-3-1-11130-3-303-1-1-313-33-101-1-111-11100-111-11-1-10-1-11111-1-10000-1111-1-1-110000
χ394444444440000-2-2-2-2-2-244000000-240000-2-2-2-2-2-2000000-2000000001111000000000000
χ4044-44444-4-40000-2-222-2-2440000002-40000-222-2-2-200000020000000011-1-1000000000000
χ414-4044-4-40000004-2002-44-4000000000000400-22-4000000000000000-2200000000000000
χ424-4044-4-4000000-2-2−2i32i3224-4000000000000-2−2i32i3-2220000000000000001-1i3−i3000000000000
χ434-4044-4-4000000-2-22i3−2i3224-4000000000000-22i3−2i3-2220000000000000001-1−i3i3000000000000
χ446666-2-266-200000-300-30-2-2202-2-20-3-20000000110202-2-20100000000000000000000-1-111
χ456666-2-266-200000-300-30-2-2-20-2220-3-20000000110-20-222010000000000000000000011-1-1
χ46666-266-2-2622-2-2-30-3-30-3-2-202000-20-222-2-211100102000-20-1-1-1-111110000000000000000
χ47666-266-2-26-2-222-30-3-30-3-2-20-200020-2-2-2221110010-2000201111-1-1-1-10000000000000000
χ4866-66-2-26-6200000-300-30-2-220-2-22032000000011020-2-220-100000000000000000000-111-1
χ4966-66-2-26-6200000-300-30-2-2-2022-20320000000110-2022-20-1000000000000000000001-1-11
χ5066-6-266-22-622-2-2-30330-3-2-20-200020222-2-21-1-10010-200020-1-11111-1-10000000000000000
χ5166-6-266-22-6-2-222-30330-3-2-202000-202-2-2221-1-100102000-2011-1-1-1-1110000000000000000
χ526-606-22-6006i−6i6i−6i0600-60-2200000000−2i2i−2i2i000-2200000000000000000000000000000000
χ536-606-22-600−6i6i−6i6i0600-60-22000000002i−2i2i−2i000-2200000000000000000000000000000000
χ546-60-26-62002i−2i−2i2i60000-6-22000000002i−2i−2i2i-20000200000002i−2i00−2i2i000000000000000000
χ556-60-26-62002i−2i−2i2i-30−3i33i303-22000000002i−2i−2i2i1i3−i300-10000000−ii3−3i−i−330000000000000000
χ566-60-26-62002i−2i−2i2i-303i3−3i303-22000000002i−2i−2i2i1−i3i300-10000000−ii−33i−i3−30000000000000000
χ576-60-26-6200−2i2i2i−2i60000-6-2200000000−2i2i2i−2i-2000020000000−2i2i002i−2i000000000000000000
χ586-60-26-6200−2i2i2i−2i-30−3i33i303-2200000000−2i2i2i−2i1i3−i300-10000000i−i−33−ii3−30000000000000000
χ596-60-26-6200−2i2i2i−2i-303i3−3i303-2200000000−2i2i2i−2i1−i3i300-10000000i−i3−3−ii−330000000000000000
χ60999-3-3-3-3-3-333-3-300000011333-3-3-301-1-111000000-1-1-1111000000000000011-1-1-1-1110000
χ61999-3-3-3-3-3-333-3-300000011-33-333-301-1-1110000001-11-1-110000000000000-1-11111-1-10000
χ62999-3-3-3-3-3-3-3-333000000113-33-3-330111-1-1000000-11-111-10000000000000-1-11111-1-10000
χ63999-3-3-3-3-3-3-3-33300000011-3-3-33330111-1-1000000111-1-1-1000000000000011-1-1-1-1110000
χ6499-9-3-3-3-33333-3-3000000113-3-3-3330-1-1-111000000-1111-1-10000000000000-111-11-11-10000
χ6599-9-3-3-3-33333-3-300000011-3-333-330-1-1-11100000011-1-11-100000000000001-1-11-11-110000
χ6699-9-3-3-3-333-3-3330000001133-3-33-30-111-1-1000000-1-111-1100000000000001-1-11-11-110000
χ6799-9-3-3-3-333-3-33300000011-3333-3-30-111-1-10000001-1-1-1110000000000000-111-11-11-10000
χ6812-12012-44-120000000-60060-440000000000000002-200000000000000000000000000000000
χ6918-180-6-666006i−6i−6i6i0000002-200000000−2i2i2i−2i0000000000000000000000000000000000000
χ7018-180-6-66600−6i6i6i−6i0000002-2000000002i−2i−2i2i0000000000000000000000000000000000000

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