Finite Group Databasebeta

← Group #11887046

Character table — Group #11887046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222244444444444444446666888888881212121212121212121212121212121212121212121216161616161616161818242424243636363636363648484848
order12223344666666888836661212121224242424242424242244241212242424244466888812121212121224242424242424246666121212122222442244488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111-1-111111111-1111-1-111-1-111-1-1-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111-1-1-1-1111111-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-11-1-11
χ51111111111111111111111111111111111-1-111111111111-1-1-111-1-111-1-1111111-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1-11-1-11
χ61111111111111111111111111111111111-1-111-1-11111111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-1-1-111-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1111-1-1-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-111
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11111-1-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1111111-1-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-111
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1111-1-11111-1-1-1-1-11-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-111-1-1-1111-1-11-11-1
χ17222222-2-222222200002222-2-2-2-200000000222200-2-20000-2-2220000-2-2-2-222000000000000000022000000-200000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-200-2-200002-222000022-2-2-2-20000000000000000-2-2000000200000000
χ19222222-2-222222200002222-2-2-2-200000000-2-22200-2-20000-22-2-20000-2-222220000000000000000-2-2000000200000000
χ20222222-2-222222200002222-2-2-2-200000000-2-2-2-200-2-2000022-2-200002222-2-2000000000000000022000000-200000000
χ2122222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-1220022-1-1-1-1-1-102-1-1002200-1-1000000-1-1-1-12-1-1-1-12-1-100202000000000-1-10
χ2222222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-12200-2-2-1-1-1-1-1-102-1-1002200-1-1000000-1-1-1-1-21111-21100-20-2000000000110
χ2322222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-1-2-20022-1-1-1-1-1-10-21100-2-2001100000011112-1-1-1-12-1-100-20-2000000000110
χ2422222-122-122-1-122222-1-1-1-1-122-12222-1-1-1-1-2-200-2-2-1-1-1-1-1-10-21100-2-200110000001111-21111-21100202000000000-1-10
χ2522222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-2111122002-2-1-1111102-1-100-2-200-1-100000011112-1-1-11-21100-2020000000001-10
χ2622222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-211112200-22-1-1111102-1-100-2-200-1-10000001111-2111-12-1-10020-2000000000-110
χ2722222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-2002-2-1-111110-21100220011000000-1-1-1-12-1-1-11-2110020-2000000000-110
χ2822222-122-122-1-12-2-2-2-2-1-1-1-1-122-1-2-2-2-21111-2-200-22-1-111110-21100220011000000-1-1-1-1-2111-12-1-100-2020000000001-10
χ292222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-12222002222-1-1-1-1-1-120002200-1-100-1-1-1-1-1-10000-12-1-12-1-1-10002020000000-100-1
χ302222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-122220022-2-2-1-1-1-1-1-120002200-1-100-1-1-1-1-1-100001-211-2111000-20-200000001001
χ312222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200-2-222-1-1-1-1-1-1-2000-2-20011001111110000-12-1-12-1-1-1000-20-200000001001
χ322222-12222-1-122-12222-1-1-1-12-1-12-1-1-1-1222200-2-2-2-2-1-1-1-1-1-1-2000-2-200110011111100001-211-21110002020000000-100-1
χ332222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200222-2-1-111112000-2-200-1-100-1-111110000-12-1-1-211100020-20000000-1001
χ342222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-20022-22-1-111112000-2-200-1-100-1-1111100001-2112-1-1-1000-2020000000100-1
χ352222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-22-2-1-11111-20002200110011-1-1-1-10000-12-1-1-2111000-2020000000100-1
χ362222-12222-1-122-1-2-2-2-2-1-1-1-12-1-121111-2-2-2-200-2-2-22-1-11111-20002200110011-1-1-1-100001-2112-1-1-100020-20000000-1001
χ372-22-2222-2-22-22-2-22i2i−2i−2i2-22-22-22-22i2i−2i−2i2i2i−2i−2i0000002-22i2i−2i−2i0000000000000000000000000000000000002-202i−2i000000
χ382-22-2222-2-22-22-2-22i2i−2i−2i2-22-22-22-22i2i−2i−2i2i2i−2i−2i0000002-22i2i−2i−2i000000000000000000000000000000000000-220−2i2i000000
χ392-22-2222-2-22-22-2-2−2i−2i2i2i2-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000002-2−2i−2i2i2i0000000000000000000000000000000000002-20−2i2i000000
χ402-22-2222-2-22-22-2-2−2i−2i2i2i2-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000002-2−2i−2i2i2i000000000000000000000000000000000000-2202i−2i000000
χ412-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-22-200002−22−2002-22−22−200002-222−2−222−2−2000000002-20000000002−20000
χ422-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-2-2200002−22−2002-2−222−20000-22−2−22222−2−200000000-22000000000−220000
χ432-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-222-200002−22−200-222−2−2200002-222−2−2−2−22200000000-22000000000−220000
χ442-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-22-2200002−22−200-22−22−220000-22−2−222−2−222000000002-20000000002−20000
χ452-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-22-20000−22−22002-2−22−2200002-2−2−222−2−222000000002-2000000000−220000
χ462-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-2-220000−22−22002-22−2−220000-2222−2−2−2−22200000000-220000000002−20000
χ472-2-222200-2-2-2-222−22−222-2-220000−22−22−22−22-222-20000−22−2200-22−222−200002-2−2−22222−2−200000000-220000000002−20000
χ482-2-222200-2-2-2-222−22−222-2-220000−22−22−22−22-22-220000−22−2200-222−22−20000-2222−2−222−2−2000000002-2000000000−220000
χ4944444-2-4-4-244-2-240000-2-2-2-22-4-42000000004400002200000-4-2-20000002200000000000000000000000000000000000
χ5044444-2-4-4-244-2-240000-2-2-2-22-4-4200000000-4-400002200000422000000-2-200000000000000000000000000000000000
χ514444-24-4-44-2-244-20000-2-2-2-2-422-400000000004400220000-400000002200-2-2000000000000000000000000000000000
χ524444-24-4-44-2-244-20000-2-2-2-2-422-40000000000-4-40022000040000000-2-20022000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000441111110000000000000000000000-2-211-2-21100000000000000000
χ544444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000-4-4111111000000000000000000000022-1-122-1-100000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200004-411-1-1-1-10000000000000000000000-2-21122-1-100000000000000000
χ564444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000-4411-1-1-1-1000000000000000000000022-1-1-2-21100000000000000000
χ5744-4-444004-44-4-4-4−2i22i22i2−2i244-4-40000−2i22i22i2−2i2−2i22i22i2−2i200000000−2i22i22i2−2i200000000000000000000000000000000000000000000000
χ5844-4-444004-44-4-4-42i2−2i2−2i22i244-4-400002i2−2i2−2i22i22i2−2i2−2i22i2000000002i2−2i2−2i22i200000000000000000000000000000000000000000000000
χ5944-4-44-200-2-4422-4−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i2000000000023−23000000i6−i6i6−i60000000000000000000000000
χ6044-4-44-200-2-4422-4−2i22i22i2−2i2-2-2220000−2i22i22i2−2i2i2−i2−i2i200000000i2−i2−i2i20000000000−2323000000−i6i6−i6i60000000000000000000000000
χ6144-4-44-200-2-4422-42i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i2000000000023−23000000−i6i6−i6i60000000000000000000000000
χ6244-4-44-200-2-4422-42i2−2i2−2i22i2-2-22200002i2−2i2−2i22i2−i2i2i2−i200000000−i2i2i2−i20000000000−2323000000i6−i6i6−i60000000000000000000000000
χ6344-4-4-240042-2-4-42−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i200000000−2i32i300006−66−600000000000000000000000000000
χ6444-4-4-240042-2-4-42−2i22i22i2−2i2-2-2220000i2−i2−i2i2−2i22i22i2−2i200000000i2−i2−i2i2000000002i3−2i30000−66−6600000000000000000000000000000
χ6544-4-4-240042-2-4-422i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i200000000−2i32i30000−66−6600000000000000000000000000000
χ6644-4-4-240042-2-4-422i2−2i2−2i22i2-2-2220000−i2i2i2−i22i2−2i2−2i22i200000000−i2i2i2−i2000000002i3−2i300006−66−600000000000000000000000000000
χ674-44-444-44-44-44-4-400004-44-4-44-4400000000000000-44000000000000000000000000000000000000000000000000000
χ684-44-44-24-424-4-22-44i4i−4i−4i-22-22-2-4424i4i−4i−4i−2i−2i2i2i000000-22−2i−2i2i2i00000000000000000000000000000000000000000000000
χ694-44-44-24-424-4-22-4−4i−4i4i4i-22-22-2-442−4i−4i4i4i2i2i−2i−2i000000-222i2i−2i−2i00000000000000000000000000000000000000000000000
χ704-44-44-2-4424-4-22-40000-22-2224-4-2000000000000002-20000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ714-44-44-2-4424-4-22-40000-22-2224-4-2000000000000002-200000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ724-44-4-244-4-4-224-424i4i−4i−4i-22-2242-2-4−2i−2i2i2i4i4i−4i−4i000000-22−2i−2i2i2i00000000000000000000000000000000000000000000000
χ734-44-4-244-4-4-224-42−4i−4i4i4i-22-2242-2-42i2i−2i−2i−4i−4i4i4i000000-222i2i−2i−2i00000000000000000000000000000000000000000000000
χ744-44-4-24-44-4-224-420000-22-22-4-224000000000000002-200000000000000000023−23−232300000000000000000000000000000
χ754-44-4-24-44-4-224-420000-22-22-4-224000000000000002-2000000000000000000−232323−2300000000000000000000000000000
χ764-44-4-2-24-42-22-2224i4i−4i−4i1-11-1-22-22−2i−2i2i2i−2i−2i2i2i0000001-1ii−i−i0000000000000000000000003-3003i−3i00000000000000000
χ774-44-4-2-24-42-22-2224i4i−4i−4i1-11-1-22-22−2i−2i2i2i−2i−2i2i2i0000001-1ii−i−i000000000000000000000000-3300−3i3i00000000000000000
χ784-44-4-2-24-42-22-222−4i−4i4i4i1-11-1-22-222i2i−2i−2i2i2i−2i−2i0000001-1−i−iii0000000000000000000000003-300−3i3i00000000000000000
χ794-44-4-2-24-42-22-222−4i−4i4i4i1-11-1-22-222i2i−2i−2i2i2i−2i−2i0000001-1−i−iii000000000000000000000000-33003i−3i00000000000000000
χ804-4-444-2002-4-42-2422−2222−22-222-2000022−2222−22−22−224-4000000−22−2200-220022−220000000000−2−2220000000000000000000000000
χ814-4-444-2002-4-42-2422−2222−22-222-2000022−2222−22−22−22-44000000−22−22002-200−2222000000000022−2−20000000000000000000000000
χ824-4-444-2002-4-42-24−2222−2222-222-20000−2222−22222−22−24-40000002−22−200-2200−2222000000000022−2−20000000000000000000000000
χ834-4-444-2002-4-42-24−2222−2222-222-20000−2222−22222−22−2-440000002−22−2002-20022−220000000000−2−2220000000000000000000000000
χ844-4-44-2400-422-44-222−2222−22-222-20000−22−2222−2222−22004-40000−22−22000022−22000000-22−2−22200000000000000000000000000000
χ854-4-44-2400-422-44-222−2222−22-222-20000−22−2222−2222−2200-440000−22−220000−22220000002-222−2−200000000000000000000000000000
χ864-4-44-2400-422-44-2−2222−2222-222-200002−22−2−2222−2222004-400002−22−20000−2222000000-2222−2−200000000000000000000000000000
χ874-4-44-2400-422-44-2−2222−2222-222-200002−22−2−2222−222200-4400002−22−2000022−220000002-2−2−22200000000000000000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000-2-2000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-4444−4i24i24i2−4i222-2-200002i2−2i2−2i22i22i2−2i2−2i22i200000000−i2i2i2−i200000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44-44444i2−4i2−4i24i222-2-20000−2i22i22i2−2i2−2i22i22i2−2i200000000i2−i2−i2i200000000000000000000000000000000000000000000000
χ918-88-8-4-4-884-44-44400002-22-24-44-400000000000000-22000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-442−4242−422-2-220000−2222−2222−2222−2222000000002−22−200000000000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4−4242−42422-2-22000022−2222−2222−2222−2200000000−22−2200000000000000000000000000000000000000000000000

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