Finite Group Databasebeta

← Group #72228359

Character table — Group #72228359

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11233336666668888889912121212121216181818181824242424242436363636363648484848484848484864646464727272727272727296969696
order1242222444444336612122224444412444446666121224444466121212121212123612122244444412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-111111111-11111-111-1-1-1-1111111-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1
χ511-11111-1-111111111-1-111-11-11-1-1-1-111111111-1-1-11-11-1-1-1-111-111-1-111-1-11-11-11-11-11-11-1
χ611-11111-1-111111111-1-111-1-11-11-1-1-111111111-1-1-1-11-11-1-1-111-111-1-111-1-1-11-11-11-11-11-11
χ711-11111-1-1-1-1-1-11111-1-11111-11-11-1-1-1-1-1-11111-1-111-11-1111-1-1-1-1-11111-1-1-11-11-11-111-11-1
χ811-11111-1-1-1-1-1-11111-1-1111-11-111-1-1-1-1-1-11111-1-11-11-11111-1-1-1-1-11111-1-11-11-11-11-1-11-11
χ92222222220000-122-12222022220-120000-122-1220222200000-10000-1-1-1-100000000-1-1-1-1
χ102222222220000-122-122220-2-2-2-20-120000-122-1220-2-2-2-200000-10000-1-1-1-1000000001111
χ1122222222222222-1-12-1-1222000022222222-1-12-1-1200002-1-1-1-12-1-1-1-1-1-1-1-1000000000000
χ12222222222-2-2-2-22-1-12-1-122-20000-222-2-2-2-22-1-12-1-1-20000-2111121111-1-1-1-1000000000000
χ1322-22222-2-20000-122-1-2-22202-22-201-20000-122-1-2-202-22-20000010000-1-11100000000-11-11
χ1422-22222-2-20000-122-1-2-2220-22-2201-20000-122-1-2-20-22-220000010000-1-111000000001-11-1
χ1522-22222-2-222222-1-121122-20000-2-2-222222-1-1211-20000-211-1-1-2-1-111-1-111000000000000
χ1622-22222-2-2-2-2-2-22-1-121122200002-2-2-2-2-2-22-1-1211200002-1-111-211-1-1-1-111000000000000
χ172-20-2-222002i−2i2i−2i22-2-200-22000000002i−2i2i−2i22-2-200000000002i−2i02i−2i002-200000000000000
χ182-20-2-222002i−2i2i−2i2-11-23−3-22000000002i−2i2i−2i2-11-23−3000000−i3i3−ii0−ii−i3i3-113−3000000000000
χ192-20-2-222002i−2i2i−2i2-11-2−33-22000000002i−2i2i−2i2-11-2−33000000i3−i3−ii0−iii3−i3-11−33000000000000
χ202-20-2-22200−2i2i−2i2i22-2-200-2200000000−2i2i−2i2i22-2-20000000000−2i2i0−2i2i002-200000000000000
χ212-20-2-22200−2i2i−2i2i2-11-23−3-2200000000−2i2i−2i2i2-11-23−3000000i3−i3i−i0i−ii3−i3-113−3000000000000
χ222-20-2-22200−2i2i−2i2i2-11-2−33-2200000000−2i2i−2i2i2-11-2−33000000−i3i3i−i0i−i−i3i3-11−33000000000000
χ233333-1-133-13333300300-1-1311-1-133-1-1-1-1-1-100-100-111-1-1-10000-10000000011-1-111-1-111-1-1
χ243333-1-133-13333300300-1-13-1-11133-1-1-1-1-1-100-100-1-1-111-10000-100000000-1-111-1-111-1-111
χ253333-1-133-1-3-3-3-3300300-1-1-311-1-1-33-11111-100-100111-1-110000-100000000-1-111-1-11111-1-1
χ263333-1-133-1-3-3-3-3300300-1-1-3-1-111-33-11111-100-1001-1-11110000-10000000011-1-111-1-1-1-111
χ27333-133-1-1311-1-1033033-1-113333-10-111-1-10-1-10-1-11-1-1-1-1-111110-1-1-1-100001111-1-1-1-10000
χ28333-133-1-1311-1-1033033-1-11-3-3-3-3-10-111-1-10-1-10-1-111111-111110-1-1-1-10000-1-1-1-111110000
χ29333-133-1-13-1-111033033-1-1-1333310-1-1-1110-1-10-1-1-1-1-1-1-11-1-1-1-1011110000-1-1-1-111110000
χ30333-133-1-13-1-111033033-1-1-1-3-3-3-310-1-1-1110-1-10-1-1-111111-1-1-1-10111100001111-1-1-1-10000
χ3133-33-1-13-313333300300-1-1-31-1-11-3-31-1-1-1-1-100-10011-1-11100001000000001-1-111-1-111-1-11
χ3233-33-1-13-313333300300-1-1-3-111-1-3-31-1-1-1-1-100-1001-111-110000100000000-111-1-111-1-111-1
χ3333-33-1-13-31-3-3-3-3300300-1-131-1-113-311111-100-100-11-1-11-10000100000000-111-1-111-11-1-11
χ3433-33-1-13-31-3-3-3-3300300-1-13-111-13-311111-100-100-1-111-1-100001000000001-1-111-1-11-111-1
χ3533-3-133-11-311-1-10330-3-3-1-1-13-33-310111-1-10-1-1011-1-11-111-1-1110-1-11100001-11-1-11-110000
χ3633-3-133-11-311-1-10330-3-3-1-1-1-33-3310111-1-10-1-1011-11-11-11-1-1110-1-1110000-11-111-11-10000
χ3733-3-133-11-3-1-1110330-3-3-1-113-33-3-101-1-1110-1-10111-11-11-111-1-1011-1-10000-11-111-11-10000
χ3833-3-133-11-3-1-1110330-3-3-1-11-33-33-101-1-1110-1-101111-11-1-111-1-1011-1-100001-11-1-11-110000
χ394444444440000-2-2-2-2-2-244000000-240000-2-2-2-2-2-20000000000-200001111000000000000
χ4044-44444-4-40000-2-2-2-222440000002-40000-2-2-2-22200000000002000011-1-1000000000000
χ414-40-4-444000000-24-4200-44000000000000-24-4200000000000000000-2200000000000000
χ424-40-4-444000000-2-22223−23-44000000000000-2-22223−230000000000000001-1−33000000000000
χ434-40-4-444000000-2-222−2323-44000000000000-2-222−23230000000000000001-13−3000000000000
χ446666-2-266-20000-300-300-2-2022-2-20-3-20000100100022-2-20000010000000000000000-1-111
χ456666-2-266-20000-300-300-2-20-2-2220-3-200001001000-2-222000001000000000000000011-1-1
χ46666-266-2-2622-2-20-3-30-3-3-2-220000-20-222-2-201101120000-2-1-1-1-1011110000000000000000
χ47666-266-2-26-2-2220-3-30-3-3-2-2-2000020-2-2-222011011-20000211110-1-1-1-10000000000000000
χ4866-66-2-26-620000-300-300-2-202-2-22032000010010002-2-2200000-10000000000000000-111-1
χ4966-66-2-26-620000-300-300-2-20-222-203200001001000-222-200000-100000000000000001-1-11
χ5066-6-266-22-622-2-20-3-3033-2-2-2000020222-2-20110-1-1-20000211-1-1011-1-10000000000000000
χ5166-6-266-22-6-2-2220-3-3033-2-220000-202-2-2220110-1-120000-2-1-1110-1-1110000000000000000
χ526-602-66-2002i−2i−2i2i06-60002-2000000002i−2i−2i2i0-22000000000002i−2i0−2i2i000000000000000000
χ536-602-66-2002i−2i−2i2i0-33033−332-2000000002i−2i−2i2i01-10−33000000−i3i3−ii0i−ii3−i30000000000000000
χ546-602-66-2002i−2i−2i2i0-330−33332-2000000002i−2i−2i2i01-103−3000000i3−i3−ii0i−i−i3i30000000000000000
χ556-602-66-200−2i2i2i−2i06-60002-200000000−2i2i2i−2i0-2200000000000−2i2i02i−2i000000000000000000
χ566-602-66-200−2i2i2i−2i0-33033−332-200000000−2i2i2i−2i01-10−33000000i3−i3i−i0−ii−i3i30000000000000000
χ576-602-66-200−2i2i2i−2i0-330−33332-200000000−2i2i2i−2i01-103−3000000−i3i3i−i0−iii3−i30000000000000000
χ586-60-62-26006i−6i6i−6i600-6002-200000000−2i2i−2i2i-2002000000000000000000000000000000000
χ596-60-62-2600−6i6i−6i6i600-6002-2000000002i−2i2i−2i-2002000000000000000000000000000000000
χ60999-3-3-3-3-3-333-3-300000011333-3-3-301-1-111000000-1-1-1111000000000000011-1-1-1-1110000
χ61999-3-3-3-3-3-333-3-3000000113-3-333-301-1-111000000-111-1-110000000000000-1-11111-1-10000
χ62999-3-3-3-3-3-3-3-33300000011-333-3-330111-1-10000001-1-111-10000000000000-1-11111-1-10000
χ63999-3-3-3-3-3-3-3-33300000011-3-3-33330111-1-1000000111-1-1-1000000000000011-1-1-1-1110000
χ6499-9-3-3-3-33333-3-300000011-33-3-3330-1-1-1110000001-111-1-100000000000001-1-11-111-10000
χ6599-9-3-3-3-33333-3-300000011-3-333-330-1-1-11100000011-1-11-10000000000000-111-11-1-110000
χ6699-9-3-3-3-333-3-3330000001133-3-33-30-111-1-1000000-1-111-110000000000000-111-11-1-110000
χ6799-9-3-3-3-333-3-333000000113-333-3-30-111-1-1000000-11-1-11100000000000001-1-11-111-10000
χ6812-120-124-412000000-6006004-4000000000000200-2000000000000000000000000000000000
χ6918-18066-6-6006i−6i−6i6i000000-2200000000−2i2i2i−2i0000000000000000000000000000000000000
χ7018-18066-6-600−6i6i6i−6i000000-22000000002i−2i−2i2i0000000000000000000000000000000000000

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