Finite Group Databasebeta

← Group #11878361

Character table — Group #11878361

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888812121212242424242424242424242424242436363636484848487272
order12223344666666234666666666661212121244121212121212121212121212121212121212121212128888444488242424242424242422441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11-11-11-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-11-11-11-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-11-1-1-1-1-11-1-1-1-11111111-111-1-1-1-111-1-111-1-11111-1-1-1-111111-1-11-1-111-1-111-1-11-11-11-11-11-1
χ1011111111111111-11-1-1-1-1-11-1-1-1-11111111-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1111-1-1-1-111-11-111-1-11-11
χ1111111111111111-11-1-1-1-1-11-1-1-1-11111111-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-11-11-111-1-11
χ1211111111111111-11-1-1-1-1-11-1-1-1-11111111-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-11-1-11-111-1
χ1311111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-111-1-111-1-11-11-1-11-11-11
χ1411111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-11-11-111-11-1
χ1511111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1-1-11111-1-1-11-111-1-111-1
χ1611111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1111-11-11-11-1-11
χ17222222-2-222222222-222222222222-2-2-2-2000000-2-20000-2-2-2-2000000000000000000000000002-2-22000000
χ18222222-2-222222222-222222222222-2-2-2-2000000-2-20000-2-2-2-200000000000000000000000000-222-2000000
χ19222222-2-2222222-222-2-2-2-22-2-2-2-222-2-2-2-2000000220000-2-2220000000000000000000000000022-2-2000000
χ20222222-2-2222222-222-2-2-2-22-2-2-2-222-2-2-2-2000000220000-2-22200000000000000000000000000-2-222000000
χ2122222-1222-1-12-122-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-12200202020-1-1-1-100000000-1-10000
χ2222222-1222-1-12-122-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-20-20-20111100000000110000
χ2322222-1222-1-12-122-1222-1-1-1-1-1-1-1-1-122-1-1-2-211112-1-2-2-2-2-1-1-1-1111111112200-20-2020-1-1-1-100000000110000
χ2422222-1222-1-12-122-1222-1-1-1-1-1-1-1-1-122-1-1-2-211112-1-2-2-2-2-1-1-1-111111111-2-2002020-20111100000000-1-10000
χ2522222-1222-1-12-12-2-1-2-2-211-11111-1-122-1-12-2-1-111-2122-2-2-1-111-1-1-1-11111220020-20-20-1-11100000000-110000
χ2622222-1222-1-12-12-2-1-2-2-211-11111-1-122-1-12-2-1-111-2122-2-2-1-111-1-1-1-11111-2-200-20202011-1-1000000001-10000
χ2722222-1222-1-12-12-2-1-2-2-211-11111-1-122-1-1-2211-1-1-21-2-222-1-1111111-1-1-1-12200-2020-20-1-111000000001-10000
χ2822222-1222-1-12-12-2-1-2-2-211-11111-1-122-1-1-2211-1-1-21-2-222-1-1111111-1-1-1-1-2-20020-202011-1-100000000-110000
χ292222-1222-122-12-12-12-1-122-1-1-1-1-1-1-1-1-122222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220202020000-1-1-1-1000000-1-100
χ302222-1222-122-12-12-12-1-122-1-1-1-1-1-1-1-1-122222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20-20-20-2000011110000001100
χ312222-1222-122-12-12-12-1-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-121111-1-1-1-11111111100220-20-2020000-1-1-1-10000001100
χ322222-1222-122-12-12-12-1-122-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-121111-1-1-1-11111111100-2-202020-200001111000000-1-100
χ332222-1222-122-12-1-2-1-211-2-2-11111-1-1-1-1222-222-2-21-2-1-111-1-111-1-1-1-1111100220-2020-20000-1-111000000-1100
χ342222-1222-122-12-1-2-1-211-2-2-11111-1-1-1-1222-222-2-21-2-1-111-1-111-1-1-1-1111100-2-2020-202000011-1-10000001-100
χ352222-1222-122-12-1-2-1-211-2-2-11111-1-1-1-122-22-2-2221-211-1-1-1-1111111-1-1-1-10022020-20-20000-1-1110000001-100
χ362222-1222-122-12-1-2-1-211-2-2-11111-1-1-1-122-22-2-2221-211-1-1-1-1111111-1-1-1-100-2-20-20202000011-1-1000000-1100
χ3744444-2-4-44-2-24-244-2-444-2-2-2-2-2-2-2-2-2-4-422000000-4200002222000000000000000000000000000000000000
χ3844444-2-4-44-2-24-24-4-24-4-422-22222-2-2-4-4220000004-2000022-2-2000000000000000000000000000000000000
χ394444-24-4-4-244-24-24-2-4-2-244-2-2-2-2-2-2-222-4-40000002-400002222000000000000000000000000000000000000
χ404444-24-4-4-244-24-2-4-2422-4-4-22222-2-222-4-4000000-24000022-2-2000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-4-42222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-2-2-24-4-2-22222-2-22211-1-11111-1-1-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-2-2-2-4422-2-22222-2-211-1-1-1-1-1-111110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222000000220000-1-1-1-133-3-333-3-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222000000220000-1-1-1-1-3-333-3-3330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-1112222000000-2-20000-1-11133-3-3-3-3330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-1112222000000-2-20000-1-111-3-33333-3-30000000000000000000000000000
χ4944-4-444004-44-4-4-4040000040000-4-400000000000000000000000000000022−22000000000022−22000000000000
χ5044-4-444004-44-4-4-4040000040000-4-4000000000000000000000000000000−22220000000000−2222000000000000
χ5144-4-4-2400-2-442-420-20−2i32i300-2−2i3−2i32i32i32200000000000000000000000000000022−220000000000−22i6−i60000000000
χ5244-4-4-2400-2-442-420-20−2i32i300-2−2i3−2i32i32i322000000000000000000000000000000−222200000000002−2−i6i60000000000
χ5344-4-4-2400-2-442-420-202i3−2i300-22i32i3−2i3−2i32200000000000000000000000000000022−220000000000−22−i6i60000000000
χ5444-4-4-2400-2-442-420-202i3−2i300-22i32i3−2i3−2i322000000000000000000000000000000−222200000000002−2i6−i60000000000
χ554-44-44400-44-4-4-440400000-40000-440000000000000000000000000000−2i22i200000000−2i22i20000000000000000
χ564-44-44400-44-4-4-440400000-40000-4400000000000000000000000000002i2−2i2000000002i2−2i20000000000000000
χ574-44-44-200-4-22-4240-2000−2i32i32−2i32i3−2i32i32-20000000000000000000000000000−2i22i200000000i2−i26−600000000000000
χ584-44-44-200-4-22-4240-2000−2i32i32−2i32i3−2i32i32-200000000000000000000000000002i2−2i200000000−i2i2−6600000000000000
χ594-44-44-200-4-22-4240-20002i3−2i322i3−2i32i3−2i32-20000000000000000000000000000−2i22i200000000i2−i2−6600000000000000
χ604-44-44-200-4-22-4240-20002i3−2i322i3−2i32i3−2i32-200000000000000000000000000002i2−2i200000000−i2i26−600000000000000
χ614-4-44444-4-4-4-444-40400000-400004-44-44-40000000000004-400000000000000000000000000000000000000
χ624-4-4444-44-4-4-444-40400000-400004-4-44-44000000000000-4400000000000000000000000000000000000000
χ634-4-444-24-4-4224-2-40-20000020000-224-4-220023−2300000000-220023−2323−2300000000000000000000000000000000
χ644-4-444-24-4-4224-2-40-20000020000-224-4-2200−232300000000-2200−2323−232300000000000000000000000000000000
χ654-4-444-2-44-4224-2-40-20000020000-22-442-2000023−230000002-200000023−2323−230000000000000000000000000000
χ664-4-444-2-44-4224-2-40-20000020000-22-442-20000−23230000002-2000000−2323−23230000000000000000000000000000
χ674-4-44-244-42-4-4-2420-20000020000-22-224-4000000000023−23-2200000023−23−23230000000000000000000000000000
χ684-4-44-244-42-4-4-2420-20000020000-22-224-40000000000−2323-22000000−232323−230000000000000000000000000000
χ694-4-44-24-442-4-4-2420-20000020000-222-2-440000000023−23002-20023−23−232300000000000000000000000000000000
χ704-4-44-24-442-4-4-2420-20000020000-222-2-4400000000−2323002-200−232323−2300000000000000000000000000000000
χ714-4-44-2-24-4222-2-220100000-13-3-331-1-22-220023−2300000023−231-13-3−33−33−333−30000000000000000000000000000
χ724-4-44-2-24-4222-2-220100000-13-3-331-1-22-2200−2323000000−23231-13-33−33−33−3−330000000000000000000000000000
χ734-4-44-2-24-4222-2-220100000-1-333-31-1-22-220023−23000000−23231-1-33−33−333−3−330000000000000000000000000000
χ744-4-44-2-24-4222-2-220100000-1-333-31-1-22-2200−232300000023−231-1-333−33−3−333−30000000000000000000000000000
χ754-4-44-2-2-44222-2-220100000-13-3-331-12-22-2000023−230023−2300-11-33−333−3−33−330000000000000000000000000000
χ764-4-44-2-2-44222-2-220100000-13-3-331-12-22-20000−232300−232300-11-333−3−333−33−30000000000000000000000000000
χ774-4-44-2-2-44222-2-220100000-1-333-31-12-22-2000023−2300−232300-113-33−3−33−33−330000000000000000000000000000
χ784-4-44-2-2-44222-2-220100000-1-333-31-12-22-20000−23230023−2300-113-3−333−33−33−30000000000000000000000000000
χ7988-8-88-40084-4-84-80-400000-400004400000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-4444020−4i34i30022i32i3−2i3−2i3-2-200000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-44440204i3−4i3002−2i3−2i32i32i3-2-200000000000000000000000000000000000000000000000000000000
χ828-88-8-480048-84-8-40-400000400004-400000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-402000−4i34i3-22i3−2i32i3−2i3-2200000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-4444-4020004i3−4i3-2−2i32i3−2i32i3-2200000000000000000000000000000000000000000000000000000000

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