Finite Group Databasebeta

← Group #11878599

Character table — Group #11878599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888812121212242424242424242424242424242436363636484848487272
order122233446666662346661212121212121212121212122466666666666612121212121212121212888824448824242424242424242244612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-11-1111-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-11-11-1-11-111-1
χ1011111111111111-11-1111-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1-1-1-111-1-1-1-111-1-1-111-1-1111-1-1-1-111-11-11-111-1-11
χ1111111111111111-11-1111-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-11-111-1-11-11
χ1211111111111111-11-1111-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-11-11-11-11-1
χ1311111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-1-111-1-111-1-11-11-11-11-1-11
χ1411111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1111-1-1-1-111-11-111-1-111-1
χ1511111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-111-11-1-1-11111-1-1-11-11-111-11-1
χ1611111111111111-11-1111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1111-1-111-1-1111-11-1-11-11-11
χ17222222-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2002002002200000000-2-200000000000000000000002-2-22000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2002002002200000000-2-20000000000000000000000-222-2000000
χ19222222-2-2222222-22222222222222-2-2-2-200-200-200-2-200000000-2-2000000000000000000000022-2-2000000
χ20222222-2-2222222-22222222222222-2-2-2-200-200-200-2-200000000-2-20000000000000000000000-2-222000000
χ2122222-1222-1-12-122-12-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12200220020-1-1-1-100000000-1-10000
χ2222222-1222-1-12-122-12-1-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200-20111100000000110000
χ2322222-1222-1-12-122-12-1-1-1-1-122-1-1-1-1-1-122-2-22-2-2-111-1-1111111-2-2-1-111112200-2-20020-1-1-1-100000000110000
χ2422222-1222-1-12-122-12-1-1-1-1-122-1-1-1-1-1-122-2-22-2-2-111-1-1111111-2-2-1-11111-2-2002200-20111100000000-1-10000
χ2522222-1222-1-12-12-2-1-2-1-1-111-2-21111-1-1222-2-2221-1-111-1-1-1-111-2-2-1-111112200-2200-20-1-111000000001-10000
χ2622222-1222-1-12-12-2-1-2-1-1-111-2-21111-1-1222-2-2221-1-111-1-1-1-111-2-2-1-11111-2-2002-2002011-1-100000000-110000
χ2722222-1222-1-12-12-2-1-2-1-1-111-2-21111-1-122-22-2-2-2111111111-1-122-1-1-1-1-1-122002-200-20-1-11100000000-110000
χ2822222-1222-1-12-12-2-1-2-1-1-111-2-21111-1-122-22-2-2-2111111111-1-122-1-1-1-1-1-1-2-200-22002011-1-1000000001-10000
χ292222-1222-122-12-12-12-1-1-122-1-1-1-1-1-122-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-100220022020000-1-1-1-1000000-1-100
χ302222-1222-122-12-12-12-1-1-122-1-1-1-1-1-122-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-20-2000011110000001100
χ312222-1222-122-12-12-12-1-1-122-1-1-1-1-1-122-1-1-2-2-1112-2-2-1-11111-2-211-1-11111002200-2-2020000-1-1-1-10000001100
χ322222-1222-122-12-12-12-1-1-122-1-1-1-1-1-122-1-1-2-2-1112-2-2-1-11111-2-211-1-1111100-2-200220-200001111000000-1-100
χ332222-1222-122-12-1-2-1-2-1-1-1-2-211111122-1-12-21-1-1-22211-1-1-1-1-2-211-1-11111002200-220-20000-1-1110000001-100
χ342222-1222-122-12-1-2-1-2-1-1-1-2-211111122-1-12-21-1-1-22211-1-1-1-1-2-211-1-1111100-2-2002-202000011-1-1000000-1100
χ352222-1222-122-12-1-2-1-2-1-1-1-2-211111122-1-1-22111-2-2-211111122-1-1-1-1-1-1-1-10022002-20-20000-1-111000000-1100
χ362222-1222-122-12-1-2-1-2-1-1-1-2-211111122-1-1-22111-2-2-211111122-1-1-1-1-1-1-1-100-2-200-2202000011-1-10000001-100
χ3744444-2-4-44-2-24-244-2-4-2-2-222-4-4222222-4-400400-200-2-2000000002200000000000000000000000000000000
χ3844444-2-4-44-2-24-24-4-24-2-2-2-2-244-2-2-2-222-4-400-40020022000000002200000000000000000000000000000000
χ394444-24-4-4-244-24-24-2-4-2-2-2-4-4222222-4-42200-200400-2-2000000002200000000000000000000000000000000
χ404444-24-4-4-244-24-2-4-24-2-2-244-2-2-2-2-2-2-4-42200200-40022000000002200000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414111-2-2-2-21111-2-2-2-244-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414111-2-2-2-21111-2-2-2-2-4-4-222-22211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-41112222-1-1-1-1-2-2-2-24-42-2-22-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-41112222-1-1-1-1-2-2-2-2-44222222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-41112222-1-1-1-1222200-200-2001133-3-30000-1-133-3-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-41112222-1-1-1-1222200-200-20011-3-3330000-1-1-3-3330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-414111-2-2-2-21111222200200200-1-133-3-30000-1-1-3-3330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-414111-2-2-2-21111222200200200-1-1-3-3330000-1-133-3-30000000000000000000000000000
χ4944-4-44400-4-4-444-40404-4-400000000000000000000000000000000000000−2i22i20000000000−2i22i2000000000000
χ5044-4-44400-4-4-444-40404-4-4000000000000000000000000000000000000002i2−2i200000000002i2−2i2000000000000
χ5144-4-4-24002-4-4-2420-20-2220023−232323−23−23000000000000000000000000000000−2i22i20000000000i2−i2i6−i60000000000
χ5244-4-4-24002-4-4-2420-20-2220023−232323−23−230000000000000000000000000000002i2−2i20000000000−i2i2−i6i60000000000
χ5344-4-4-24002-4-4-2420-20-22200−2323−23−232323000000000000000000000000000000−2i22i20000000000i2−i2−i6i60000000000
χ5444-4-4-24002-4-4-2420-20-22200−2323−23−2323230000000000000000000000000000002i2−2i20000000000−i2i2i6−i60000000000
χ554-44-4444-4-4-44-4-44040-4-44000000004-44-40000000000000000004-400000000000000000000000000000000
χ564-44-444-44-4-44-4-44040-4-4400000000-44-44000000000000000000-4400000000000000000000000000000000
χ574-44-44-24-4-42-2-4240-2022-200000000-224-400000000000000−2i32i300-22−2i32i3−2i32i30000000000000000000000000000
χ584-44-44-24-4-42-2-4240-2022-200000000-224-4000000000000002i3−2i300-222i3−2i32i3−2i30000000000000000000000000000
χ594-44-44-2-44-42-2-4240-2022-2000000002-2-44000000−2i32i300−2i32i3−2i32i300002-200000000000000000000000000000000
χ604-44-44-2-44-42-2-4240-2022-2000000002-2-440000002i3−2i3002i3−2i32i3−2i300002-200000000000000000000000000000000
χ614-44-4-244-42-442-4-20-2022-2000000004-4-22000−2i32i300000−2i32i32i3−2i30000-2200000000000000000000000000000000
χ624-44-4-244-42-442-4-20-2022-2000000004-4-220002i3−2i3000002i3−2i3−2i32i30000-2200000000000000000000000000000000
χ634-44-4-24-442-442-4-20-2022-200000000-442-20000000000000000−2i32i32-2−2i32i32i3−2i30000000000000000000000000000
χ644-44-4-24-442-442-4-20-2022-200000000-442-200000000000000002i3−2i32-22i3−2i3−2i32i30000000000000000000000000000
χ654-44-4-2-24-422-222-2010-1-1100003-33-3-22-22000−2i32i30003-3i3−i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ664-44-4-2-24-422-222-2010-1-1100003-33-3-22-220002i3−2i30003-3−i3i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ674-44-4-2-24-422-222-2010-1-110000-33-33-22-22000−2i32i3000-33i3−i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ684-44-4-2-24-422-222-2010-1-110000-33-33-22-220002i3−2i3000-33−i3i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ694-44-4-2-2-4422-222-2010-1-1100003-33-32-22-2000000−2i32i3-33i3−i3i3−i3002i3−2i3-11−i3i3i3−i30000000000000000000000000000
χ704-44-4-2-2-4422-222-2010-1-1100003-33-32-22-20000002i3−2i3-33−i3i3−i3i300−2i32i3-11i3−i3−i3i30000000000000000000000000000
χ714-44-4-2-2-4422-222-2010-1-110000-33-332-22-2000000−2i32i33-3i3−i3i3−i300−2i32i3-11i3−i3−i3i30000000000000000000000000000
χ724-44-4-2-2-4422-222-2010-1-110000-33-332-22-20000002i3−2i33-3−i3i3−i3i3002i3−2i3-11−i3i3i3−i30000000000000000000000000000
χ734-4-44440044-4-4-4-4040-44-4000000000000000000000000000000000000−2i22i200000000−2i22i20000000000000000
χ744-4-44440044-4-4-4-4040-44-40000000000000000000000000000000000002i2−2i2000000002i2−2i20000000000000000
χ754-4-444-2004-22-42-40-202-2223−230023−23−23230000000000000000000000000000−2i22i200000000i2−i2i6−i600000000000000
χ764-4-444-2004-22-42-40-202-2223−230023−23−232300000000000000000000000000002i2−2i200000000−i2i2−i6i600000000000000
χ774-4-444-2004-22-42-40-202-22−232300−232323−230000000000000000000000000000−2i22i200000000i2−i2−i6i600000000000000
χ784-4-444-2004-22-42-40-202-22−232300−232323−2300000000000000000000000000002i2−2i200000000−i2i2i6−i600000000000000
χ7988-8-88-400-8448-4-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400444-4-440202-2-20043−43−23−23232300000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400444-4-440202-2-200−43432323−23−2300000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-48-84-840-404-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4-44444020-22-243−4300−232323−2300000000000000000000000000000000000000000000000000000000
χ848-8-88-4-400-4-44444020-22-2−43430023−23−232300000000000000000000000000000000000000000000000000000000

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