Finite Group Databasebeta

← Group #11878589

Character table — Group #11878589

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444444888888888812121212161616161616161624242424242424242424242424242424242424242424363636367272
order12223344666666234666661212121212122466612121212128888666612121212244466881212121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1111111111-1-11111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-11-1-1111-1111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ911111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-111-1-111-1-11-11-11-1
χ1011111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1111-1-11111-1-1-1-111-11-11-11
χ1111111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111-1-1-111-1-1-1-11111-1-1-11-11-11
χ1211111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-111-1-1111-11-11-1
χ1311111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-11111-1-1-1-111111-11-111-1-1-1-1-1-11111-1-111-1-11-11-1-11
χ1411111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-11-1-111-1-111-1-1-1-111-11-111-1
χ1511111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11-111-1-111-1-11111-1-1-11-111-1
χ1611111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-111-1-1111-11-1-11
χ17222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-200000000000000000000000000000000002-2-2200
χ18222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-20000000000000000000000000000000000-222-200
χ19222222-2-2222222-222-2-222222-2-2-2-200-2-2-22-2-222000000000000000000000000000000000022-2-200
χ20222222-2-2222222-222-2-222222-2-2-2-200-2-2-22-2-2220000000000000000000000000000000000-2-22200
χ2122222-122-122-1-122-1222-1-1-1-1-122-1-122-1-1-12-1-1-1-122002-1-1-12-1-1-12002-1-120-1-10000-1-1-1-10000000000
χ2222222-122-122-1-122-1222-1-1-1-1-122-1-122-1-1-12-1-1-1-1-2-2002-1-1-12-1-1-1-200-211-2011000011110000000000
χ2322222-122-122-1-122-1222-1-1-1-1-122-1-1-2-2-1-1-12-1-1-1-12200-2111-2111-200-21120110000-1-1-1-10000000000
χ2422222-122-122-1-122-1222-1-1-1-1-122-1-1-2-2-1-1-12-1-1-1-1-2-200-2111-21112002-1-1-20-1-1000011110000000000
χ2522222-122-122-1-12-2-1-2-2-2-1-1-11122-1-12-2111-2-1-11122002-1-1-1-2111-200211-20-1-10000-1-1110000000000
χ2622222-122-122-1-12-2-1-2-2-2-1-1-11122-1-12-2111-2-1-111-2-2002-1-1-1-2111200-2-1-12011000011-1-10000000000
χ2722222-122-122-1-12-2-1-2-2-2-1-1-11122-1-1-22111-2-1-1112200-21112-1-1-1200-2-1-1-20110000-1-1110000000000
χ2822222-122-122-1-12-2-1-2-2-2-1-1-11122-1-1-22111-2-1-111-2-200-21112-1-1-1-20021120-1-1000011-1-10000000000
χ292222-12222-1-122-12-12-1-1-1-1-122-1-122222-1-1-1-1-1-1-10022-12-1-1-12-1-10220000200-1-1-1-10000-1-1-1-1000000
χ302222-12222-1-122-12-12-1-1-1-1-122-1-122222-1-1-1-1-1-1-100-2-2-12-1-1-12-1-10-2-20000-200111100001111000000
χ312222-12222-1-122-12-12-1-1-1-1-122-1-122-2-22-1-1-1-1-1-1-100221-2111-2110-2-2000020011110000-1-1-1-1000000
χ322222-12222-1-122-12-12-1-1-1-1-122-1-122-2-22-1-1-1-1-1-1-100-2-21-2111-2110220000-200-1-1-1-100001111000000
χ332222-12222-1-122-1-2-1-211-1-1-1-2-2-1-1222-2-2111-1-1110022-12-1-11-21102-20000-200-1-1110000-1-111000000
χ342222-12222-1-122-1-2-1-211-1-1-1-2-2-1-1222-2-2111-1-11100-2-2-12-1-11-2110-22000020011-1-1000011-1-1000000
χ352222-12222-1-122-1-2-1-211-1-1-1-2-2-1-122-22-2111-1-11100221-211-12-1-10-220000-20011-1-10000-1-111000000
χ362222-12222-1-122-1-2-1-211-1-1-1-2-2-1-122-22-2111-1-11100-2-21-211-12-1-102-20000200-1-111000011-1-1000000
χ3744444-2-4-4-244-2-244-2-444-2-2-222-4-42200-2-2-2-422220000000000000000000000000000000000000000
χ3844444-2-4-4-244-2-24-4-24-4-4-2-2-2-2-2-4-42200222422-2-20000000000000000000000000000000000000000
χ394444-24-4-44-2-244-24-2-4-2-2-2-2-2-4-422-4-4004-2-2222220000000000000000000000000000000000000000
χ404444-24-4-44-2-244-2-4-2422-2-2-24422-4-400-422-222-2-20000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-211-211110000-2-211-2-2110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-211-21111000022-1-122-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-24-42-1-1211-1-10000-2-21122-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2-442-1-1211-1-1000022-1-1-2-2110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-10000003-3003-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-1000000-3300-330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222002-1-1-2-1-1110000003-300-330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222002-1-1-2-1-111000000-33003-30000000000000000000000000000
χ4944-4-444004-4-4-4-44040004-4-40000000000000000−2i22i2000000000000000000000000−2i22i2000000000000
χ5044-4-444004-4-4-4-44040004-4-400000000000000002i2−2i20000000000000000000000002i2−2i2000000000000
χ5144-4-44-200-2-4-42240-2000-22223−2300000000000023−23−2i22i2000000000000000000000000i2−i2i6−i60000000000
χ5244-4-44-200-2-4-42240-2000-22223−2300000000000023−232i2−2i2000000000000000000000000−i2i2−i6i60000000000
χ5344-4-44-200-2-4-42240-2000-222−2323000000000000−2323−2i22i2000000000000000000000000i2−i2−i6i60000000000
χ5444-4-44-200-2-4-42240-2000-222−2323000000000000−23232i2−2i2000000000000000000000000−i2i2i6−i60000000000
χ554-44-44400-44-44-4-404000-44-4000000000000000000−2i22i200000000000000000000000000−2i22i200000000
χ564-44-44400-44-44-4-404000-44-40000000000000000002i2−2i2000000000000000000000000002i2−2i200000000
χ574-44-4-2400-4-224-420-20−2i32i32-22000000000−2i32i30000000−2i22i200000000000000000000000000i2−i26−6000000
χ584-44-4-2400-4-224-420-20−2i32i32-22000000000−2i32i300000002i2−2i200000000000000000000000000−i2i2−66000000
χ594-44-4-2400-4-224-420-202i3−2i32-220000000002i3−2i30000000−2i22i200000000000000000000000000i2−i2−66000000
χ604-44-4-2400-4-224-420-202i3−2i32-220000000002i3−2i300000002i2−2i200000000000000000000000000−i2i26−6000000
χ614-4-44444-4-4-44-44-404000-4-44004-44-40000004-4000000000000000000000000000000000000000000
χ624-4-4444-44-4-44-44-404000-4-4400-44-44000000-44000000000000000000000000000000000000000000
χ634-4-444-24-42-442-2-40-200022-2004-4-22000000-220000000000000000000000−2i32i3000000000000000000
χ644-4-444-24-42-442-2-40-200022-2004-4-22000000-2200000000000000000000002i3−2i3000000000000000000
χ654-4-444-2-442-442-2-40-200022-200-442-20000002-2000000000000000000−2i32i30000000000000000000000
χ664-4-444-2-442-442-2-40-200022-200-442-20000002-20000000000000000002i3−2i30000000000000000000000
χ674-4-44-244-4-42-2-4420-200022-200-224-4000000-220000000000000000000000000023−2300000000000000
χ684-4-44-244-4-42-2-4420-200022-200-224-4000000-2200000000000000000000000000−232300000000000000
χ694-4-44-24-44-42-2-4420-200022-2002-2-440000002-200000000000000000000000023−230000000000000000
χ704-4-44-24-44-42-2-4420-200022-2002-2-440000002-2000000000000000000000000−23230000000000000000
χ7188-8-8-4800844-8-8-40-4000-44400000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-44444-4020002-2-243−43000000000000−23230000000000000000000000000000000000000000
χ7388-8-8-4-400-44444-4020002-2-2−434300000000000023−230000000000000000000000000000000000000000
χ748-88-88-40048-8-44-80-40004-4400000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4004-44-444020−4i34i3-22-20000000002i3−2i3000000000000000000000000000000000000000000000
χ768-88-8-4-4004-44-4440204i3−4i3-22-2000000000−2i32i3000000000000000000000000000000000000000000000
χ778-8-88-4-48-844-44-4402000-2-2200-44-440000002-2000000000000000000000000000000000000000000
χ788-8-88-4-4-8844-44-4402000-2-22004-44-4000000-22000000000000000000000000000000000000000000

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