Finite Group Databasebeta

← #14926720

Subgroups — #14926720

Order 2816.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076982C211yesmaximal, characteristic, complemented
4#13076970C211yesmaximal, characteristic, complemented
5#13076959C211yesmaximal, characteristic, complemented
6#13076944C211yesmaximal, characteristic, complemented
7#13074754C211yesmaximal, characteristic, complemented
8#13074752C211yesmaximal, characteristic, complemented
9#13074743C211yesmaximal, characteristic, complemented
10#13074741C211yesmaximal, characteristic, complemented
11#13073689C211yesmaximal, characteristic, complemented
12#13073688C211yesmaximal, characteristic, complemented
13#13073675C211yesmaximal, characteristic, complemented
14#13073673C211yesmaximal, characteristic, complemented
15#13073195C211yesmaximal, characteristic, complemented
16#13072972C211yesmaximal, characteristic, complemented
17#13072744C211yesmaximal, characteristic, complemented
18#13072736C211yesmaximal, characteristic, complemented
19#13072374C211yesmaximal, characteristic, complemented
20#13072317C211yesmaximal, characteristic, complemented
21#13072251C211yesmaximal, characteristic, complemented
22#13072197C211yesmaximal, characteristic, complemented
23#13072146C211yesmaximal, characteristic, complemented
24#13072053C211yesmaximal, characteristic, complemented
25#13071969C211yesmaximal, characteristic, complemented
26#13071277C211yesmaximal, characteristic, complemented
27#13071273C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29C2×#10622570C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic, complemented
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C22×C11×C22⋊C4C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66993C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic, complemented
48C2×#66992C2211yescharacteristic, complemented
49C2×#66992C2211yescharacteristic, complemented
50C2×#66992C2211yescharacteristic, complemented
51C2×#66991C2211yescharacteristic, complemented
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66989C2211yescharacteristic, complemented
55C2×#66988C2211yescharacteristic, complemented
56C2×D4×Dic11C2211yescharacteristic
57C2×D4×Dic11C2211yescharacteristic
58C2×D4×Dic11C2211yescharacteristic
59C2×#66983C2211yescharacteristic, complemented
60C22×(C2×D11)⋊C4C2211yescharacteristic
61C22×(C2×D11)⋊C4C2211yescharacteristic
62C2×#66977C2211yescharacteristic
63C22×Dic11⋊C4C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic
65C22×C4×Dic11C2211yescharacteristic, complemented
66#10623148—28no—
67#10623124—28no—
68C2×#66951C2211yescharacteristic, complemented
69C2×#66951C2211yescharacteristic, complemented
70C2×#66941C2211yescharacteristic, complemented
71C2×#66939C2211yescharacteristic, complemented
72C2×#66939C2211yescharacteristic, complemented
73C2×#66938C2211yescharacteristic, complemented
74C2×#66938C2211yescharacteristic, complemented
75C2×#66938C2211yescharacteristic, complemented
76C2×#66938C2211yescharacteristic, complemented
77C2×#66938C2211yescharacteristic, complemented
78C2×#66936C2211yescharacteristic, complemented
79C2×#66935C2211yescharacteristic
80C2×(C22⋊D11)⋊C4C2211yescharacteristic
81C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
82C2×#66932C2211yescharacteristic, complemented
83C2×#66932C2211yescharacteristic, complemented
84C2×#66931C2211yescharacteristic
85C11×#396C2211yescharacteristic, complemented
86C11×#394C2211yescharacteristic, complemented
87C11×#394C2211yescharacteristic, complemented
88C11×#392C2211yescharacteristic, complemented
89C11×#390C2211yescharacteristic, complemented
90C11×#388C2211yescharacteristic, complemented
91C11×#386C2211yescharacteristic
92C11×#386C2211yescharacteristic, complemented
93C11×#385C2211yescharacteristic
94#10622860C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622835C2211yescharacteristic, complemented
100#10622834C2211yescharacteristic, complemented
101#10622834C2211yescharacteristic, complemented
102#10622833C2211yescharacteristic
103#10622833C2211yescharacteristic, complemented
104#10622833C2211yescharacteristic, complemented
105#10622826C2211yescharacteristic
106#10622826C2211yescharacteristic
107#10622826C2211yescharacteristic, complemented
108C4×C22⋊Dic11C2211yescharacteristic
109C4×C22⋊Dic11C2211yescharacteristic, complemented
110#10622607C2211yescharacteristic, complemented
111#10622607C2211yescharacteristic, complemented
112#10622604C2211yescharacteristic, complemented
113#10622603C2211yescharacteristic, complemented
114#10622603C2211yescharacteristic, complemented
115#10622601C2211yescharacteristic, complemented
116#10622601C2211yescharacteristic, complemented
117#10622597C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622589C2211yescharacteristic, complemented
120C4⋊C4×Dic11C2211yescharacteristic, complemented
121C4⋊C4×Dic11C2211yescharacteristic, complemented
122#10622585C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622574C2211yescharacteristic, complemented
127#10622574C2211yescharacteristic, complemented
128#10622573C2211yescharacteristic
129#10622573C2211yescharacteristic
130#10622573C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622572C2211yescharacteristic, complemented
133#10622572C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622570C2211yescharacteristic
138#10622570C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic
141#10622570C2211yescharacteristic
142#10622570C2211yescharacteristic
143#10622570C2211yescharacteristic
144#10622570C2211yescharacteristic
145#10622570C2211yescharacteristic
146#10622570C2211yescharacteristic, complemented
147#10622570C2211yescharacteristic, complemented
148#10622570C2211yescharacteristic, complemented
149#10622570C2211yescharacteristic, complemented
150#10622568C2211yescharacteristic
151#10622565C2211yescharacteristic, complemented
152#10622564C2211yescharacteristic, complemented
153#10622564C2211yescharacteristic, complemented
154#10622564C2211yescharacteristic, complemented
155#10622564C2211yescharacteristic, complemented
156#10622564C2211yescharacteristic, complemented
157#10622563C2211yescharacteristic
158#10622561C2211yescharacteristic, complemented
159#10622560C2211yescharacteristic, complemented
160#10622557C2211yescharacteristic, complemented
161#10622557C2211yescharacteristic, complemented
162#10622555C2211yescharacteristic
163#10622555C2211yescharacteristic, complemented
164C22⋊C4×Dic11C2211yescharacteristic
165C22⋊C4×Dic11C2211yescharacteristic
166C22⋊C4×Dic11C2211yescharacteristic, complemented
167C22⋊C4×Dic11C2211yescharacteristic, complemented
168C22⋊C4×Dic11C2211yescharacteristic, complemented
169#10622553C2211yescharacteristic, complemented
170#10622552C2211yescharacteristic, complemented
171C4×C4⋊Dic11C2211yescharacteristic, complemented
172C42×Dic11C2211yescharacteristic, complemented
173#10622288C2211yescharacteristic, complemented
174#10622286C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622283C2211yescharacteristic, complemented
177#10622282C2211yescharacteristic, complemented
178#10622282C2211yescharacteristic, complemented
179#10622282C2211yescharacteristic, complemented
180#10622279C2211yescharacteristic, complemented
181#10622278C2211yescharacteristic, complemented
182#10622278C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622269C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11—24no—
202C22×C22⋊D11—42no—
203C22×C22⋊D11—42no—
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C22×D44C2311yescharacteristic
224C22×D44C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#121—24no—
229C11×#121—42no—
230C11×#120—24no—
231C11×#120—24no—
232C4×D4×C11—24no—
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4—42no—
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C42×C11C2311yescharacteristic
254#67006—24no—
255C2×C22⋊Dic11—24no—
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276#66993—42no—
277#66993—42no—
278#66992—24no—
279#66992—24no—
280#66992—24no—
281#66992—24no—
282#66992—24no—
283#66992—42no—
284#66992—42no—
285#66992—42no—
286#66991—24no—
287#66990—24no—
288#66990—24no—
289#66989—24no—
290#66988—24no—
291D4×Dic11—24no—
292D4×Dic11—24no—
293D4×Dic11D418yescomplemented
294#66983—42no—
295C2×(C2×D11)⋊C4—24no—
296C2×(C2×D11)⋊C4—42no—
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323C2×C4⋊Dic11C2311yescharacteristic
324C2×C4⋊Dic11C2311yescharacteristic
325C2×C4⋊Dic11C2311yescharacteristic
326C2×C4⋊Dic11C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329#66977—24no—
330C2×Dic11⋊C4—42no—
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×Dic11⋊C4C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×C4×Dic11—42no—
345C2×C4×Dic11—42no—
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355C2×C4×Dic11C2311yescharacteristic
356C2×C4×Dic11C2311yescharacteristic
357C2×C4×Dic11C2311yescharacteristic
358C2×C4×Dic11C2311yescharacteristic
359C2×C4×Dic11C2311yescharacteristic
360#66951—24no—
361#66951—24no—
362#66941—42no—
363#66939—24no—
364#66939—24no—
365#66938—24no—
366#66938—24no—
367#66938—24no—
368#66938—42no—
369#66938—42no—
370#66936—24no—
371#66935—24no—
372(C22⋊D11)⋊C4—24no—
373(C22⋊D11)⋊C4—42no—
374#66932—24no—
375#66932—24no—
376#66931—24no—
377C11×#95C2311yescharacteristic
378C11×#95C2311yescharacteristic
379C11×#95C2311yescharacteristic
380C11×#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#35007—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—22no—
400C24×C11—22no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C23×D11—22no—
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—41no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11C2411yescharacteristic
418C23×D11C2411yescharacteristic
419C23×D11C2411yescharacteristic
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—22no—
425C2×D4×C11—22no—
426C2×D4×C11—22no—
427C2×D4×C11—22no—
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11C2×D414yes—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11—22no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11—41no—
487C2×C22⋊D11—41no—
488C2×C22⋊D11—41no—
489C2×C22⋊D11—41no—
490C2×C22⋊D11—41no—
491C2×C22⋊D11—41no—
492C2×C22⋊D11—41no—
493C2×C22⋊D11—41no—
494C2×C22⋊D11—41no—
495C2×C22⋊D11—41no—
496C2×C22⋊D11—41no—
497C2×C22⋊D11—41no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—416no—
500C22×Dic11—22no—
501C22×Dic11—22no—
502C22×Dic11—22no—
503C22×Dic11—22no—
504C22×Dic11—22no—
505C22×Dic11—22no—
506C22×Dic11—22no—
507C22×Dic11—41no—
508C22×Dic11—41no—
509C22×Dic11—41no—
510C22×Dic11—41no—
511C22×Dic11—41no—
512C22×Dic11—41no—
513C22×Dic11—41no—
514C22×Dic11—41no—
515C22×Dic11C2×D414yes—
516C22×Dic11C2×D414yescomplemented
517C22×Dic11#4114yes—
518C22×Dic11C2411yescharacteristic
519C22×Dic11C2411yescharacteristic
520C22×Dic11C2411yescharacteristic
521C22×Dic11C2411yescharacteristic
522C22×Dic11C2411yescharacteristic
523C22×Dic11C2411yescharacteristic
524C22×Dic11C2411yescharacteristic
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C2×D44—22no—
532C2×D44—22no—
533C2×D44—41no—
534C2×D44—41no—
535C2×D44—41no—
536C2×D44—41no—
537C2×C4×D11—22no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×Dic22—22no—
541C2×Dic22—22no—
542C2×Dic22—41no—
543C2×Dic22—41no—
544C2×Dic22—41no—
545C2×Dic22—41no—
546C11×C4⋊C4—22no—
547C11×C4⋊C4—22no—
548C11×C4⋊C4—41no—
549C11×C4⋊C4—41no—
550C11×C22⋊C4—22no—
551C11×C22⋊C4—22no—
552C11×C22⋊C4—22no—
553C11×C22⋊C4—22no—
554C11×C22⋊C4—22no—
555C11×C22⋊C4—22no—
556C11×C22⋊C4—22no—
557C11×C22⋊C4—22no—
558C11×C22⋊C4—22no—
559C11×C22⋊C4—22no—
560C11×C22⋊C4—22no—
561C11×C22⋊C4—41no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4#4114yes—
565C42×C11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—22no—
569C22⋊Dic11—22no—
570C22⋊Dic11—22no—
571C22⋊Dic11—22no—
572C22⋊Dic11—22no—
573C22⋊Dic11—22no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11—41no—
583C22⋊Dic11—41no—
584C22⋊Dic11C2×D414yes—
585C22⋊Dic11C2×D414yescomplemented
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—22no—
601(C2×D11)⋊C4—22no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611C4⋊Dic11—22no—
612C4⋊Dic11—22no—
613C4⋊Dic11—22no—
614C4⋊Dic11—22no—
615C4⋊Dic11—41no—
616C4⋊Dic11—41no—
617C4⋊Dic11C2×D414yescomplemented
618Dic11⋊C4—22no—
619Dic11⋊C4—22no—
620Dic11⋊C4—22no—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—22no—
628Dic11⋊C4—22no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631C4×Dic11—22no—
632C4×Dic11—22no—
633C4×Dic11—22no—
634C4×Dic11—22no—
635C4×Dic11—22no—
636C4×Dic11—22no—
637C4×Dic11—22no—
638C4×Dic11—22no—
639C4×Dic11—41no—
640C4×Dic11—41no—
641C4×Dic11—41no—
642C4×Dic11—41no—
643C4×Dic11—41no—
644C4×Dic11C2×D414yescomplemented
645C2×#538—111no—
646C2×#538—111no—
647#2860—111no—
648#2858—111no—
649#2856—111no—
650#2854—111no—
651#2662—111no—
652#2662—111no—
653#2661—111no—
654#2661—111no—
655#2555—111no—
656#2555—111no—
657#2554—111no—
658#2554—111no—
659#2512—111no—
660#2491—111no—
661#2472—111no—
662#2472—111no—
663#2445—111no—
664#2440—111no—
665#2433—111no—
666#2428—111no—
667#2424—111no—
668#2424D1111yescharacteristic, complemented
669#2416—111no—
670#2408—111no—
671#2321—111no—
672#2321—111no—
673C4×#121—111no—
674C2×#390—111no—
675C42×D4—111no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C11—21no—
683C23×C11—21no—
684C23×C11—21no—
685C23×C11—21no—
686C23×C11—21no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—44no—
708C23×C11—44no—
709C23×C11—44no—
710C23×C11—82no—
711C23×C11—82no—
712C23×C11—82no—
713C23×C11—82no—
714C23×C11C22×D412yes—
715C23×C11C22×D412yes—
716C23×C11C2×#4112yes—
717C23×C11C2×#4112yes—
718C23×C11C2511yescharacteristic
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—44no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—82no—
744C22×D11—82no—
745C22×D11—82no—
746C22×D11—82no—
747D4×C11—28no—
748D4×C11—44no—
749D4×C11—82no—
750D4×C11—82no—
751D4×C11—82no—
752D4×C11—82no—
753D4×C11—82no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—44no—
781C2×C4×C11—44no—
782C2×C4×C11—82no—
783C2×C4×C11C22×D412yes—
784C2×C4×C11C2×#4112yes—
785C2×C4×C11C2×#4112yes—
786C2×C4×C11H(5,𝔽2)12yes—
787C22⋊D11—44no—
788C22⋊D11—44no—
789C22⋊D11—44no—
790C22⋊D11—44no—
791C22⋊D11—44no—
792C22⋊D11—44no—
793C22⋊D11—82no—
794C22⋊D11—82no—
795C22⋊D11—82no—
796C22⋊D11—82no—
797C22⋊D11—82no—
798C22⋊D11—82no—
799C22⋊D11—82no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—28no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—44no—
833C2×Dic11—44no—
834C2×Dic11—44no—
835C2×Dic11—82no—
836C2×Dic11—82no—
837C2×Dic11C22×D412yes—
838C2×Dic11C22×D412yes—
839C2×Dic11C22×D412yes—
840C2×Dic11C22×D412yes—
841C2×Dic11C2×#4112yes—
842C2×Dic11C2×#4112yes—
843C2×Dic11H(5,𝔽2)12yes—
844C2×Dic11H(5,𝔽2)12yes—
845D44—82no—
846D44—82no—
847C4×D11—82no—
848Dic22—82no—
849Dic22—82no—
850C23×D4—111no—
851#538—228no—
852#538—228no—
853C2×C4⋊Q8—111no—
854C2×#127—111no—
855C2×#127—111no—
856C2×#126—111no—
857C2×#126—111no—
858C2×#126—111no—
859C2×#126—111no—
860C2×#124—111no—
861C2×#124—111no—
862C2×#124—111no—
863C2×#124—111no—
864C2×#124—111no—
865C2×#124—111no—
866C2×#123—111no—
867C2×#123—111no—
868C2×#123—111no—
869C2×#123—111no—
870C2×C22⋊Q8—111no—
871C2×C22⋊Q8—111no—
872C2×#121—111no—
873C2×#121—111no—
874C2×#121—111no—
875C2×#121—111no—
876C2×#121—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121C2×D1111yescharacteristic
883C2×#121C2×D1111yescharacteristic, complemented
884C2×#120—111no—
885C2×#120—111no—
886C2×#120—111no—
887C2×#120—111no—
888C2×#120C2×D1111yescharacteristic
889C2×#120C2×D1111yescharacteristic
890C2×C4×D4—111no—
891C2×C4×D4—111no—
892C2×C4×D4—111no—
893C2×C4×D4—111no—
894C2×C4×D4—111no—
895C2×C4×D4C2×D1111yescharacteristic
896C22×C4⋊C4—111no—
897C22×C22⋊C4—111no—
898C22×C22⋊C4—111no—
899C22×C22⋊C4—111no—
900C22×C22⋊C4C2×D1111yescharacteristic
901C22×C42—111no—
902C22×C42—111no—
903#398—111no—
904#398—111no—
905#397—111no—
906#397—111no—
907#396—111no—
908#396—111no—
909#396—111no—
910#396C2×D1111yescharacteristic, complemented
911#395—111no—
912#395—111no—
913#394—111no—
914#394—111no—
915#394—111no—
916#394—111no—
917#394—111no—
918#394—111no—
919#394—111no—
920#394—111no—
921#394—111no—
922#394—111no—
923#394C2×D1111yescharacteristic, complemented
924#394C2×D1111yescharacteristic, complemented
925#393—111no—
926#393—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#392—111no—
931#392—111no—
932#392—111no—
933#392—111no—
934#392C2×D1111yescharacteristic, complemented
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#390—111no—
942#390—111no—
943#390—111no—
944#390—111no—
945#390—111no—
946#390—111no—
947#390—111no—
948#390—111no—
949#390—111no—
950#390—111no—
951#390—111no—
952#390—111no—
953#390—111no—
954#390—111no—
955#390—111no—
956#390C2×D1111yescharacteristic, complemented
957#389—111no—
958#389—111no—
959#389—111no—
960#389—111no—
961#388—111no—
962#388—111no—
963#388—111no—
964#388—111no—
965#388—111no—
966#388—111no—
967#388—111no—
968#388—111no—
969#388—111no—
970#388—111no—
971#388—111no—
972#388—111no—
973#388—111no—
974#388—111no—
975#388—111no—
976#388C2×D1111yescharacteristic, complemented
977#386—111no—
978#386—111no—
979#386—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386C2×D1111yescharacteristic
986#386C2×D1111yescharacteristic, complemented
987#385—111no—
988#385C2×D1111yescharacteristic
989#384—111no—
990#380—111no—
991#380—111no—
992#379—111no—
993#379—111no—
994C4×C4⋊C4—111no—
995C4×C4⋊C4—111no—
996C4×C4⋊C4—111no—
997C4×C4⋊C4—111no—
998C4×C22⋊C4—111no—
999C4×C22⋊C4—111no—
1000C4×C22⋊C4—111no—
1001C4×C22⋊C4—111no—
1002C4×C22⋊C4—111no—
1003C4×C22⋊C4—111no—
1004C4×C22⋊C4—111no—
1005C4×C22⋊C4—111no—
1006C43—111no—
1007C22×C11—22no—
1008C22×C11—22no—
1009C22×C11—22no—
1010C22×C11—22no—
1011C22×C11—22no—
1012C22×C11—22no—
1013C22×C11—22no—
1014C22×C11—22no—
1015C22×C11—22no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—88no—
1042C22×C11#53214yes—
1043C22×C11C23×D411yescharacteristic
1044C22×C11C22×#4111yescharacteristic
1045C22×C11C22×#4111yescharacteristic
1046C22×C11C2×H(5,𝔽2)11yescharacteristic
1047C22×C11C2×H(5,𝔽2)11yescharacteristic
1048C22×C11C2×H(5,𝔽2)11yescharacteristic
1049C22×C11#58511yescharacteristic
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—88no—
1072C4×C11—22no—
1073C4×C11—22no—
1074C4×C11—22no—
1075C4×C11—22no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082Dic11—22no—
1083Dic11—22no—
1084Dic11—22no—
1085Dic11—22no—
1086Dic11—22no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093Dic11—41no—
1094Dic11#53814yescomplemented
1095C25—111no—
1096C25C22×D1111yescharacteristic
1097C22×Q8—111no—
1098C22×Q8—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4—111no—
1108C22×D4—111no—
1109C22×D4—111no—
1110C22×D4—111no—
1111C22×D4—111no—
1112C22×D4—111no—
1113C22×D4—111no—
1114C22×D4—224no—
1115C22×D4—442no—
1116C22×D4—442no—
1117C22×D4C22×D1111yescharacteristic
1118C22×D4C22×D1111yescharacteristic
1119C22×D4C22×D1111yescharacteristic
1120C22×D4C22×D1111yescharacteristic
1121C22×D4C22×D1111yescharacteristic
1122C22×D4C22×D1111yescharacteristic
1123C22×D4C22×D1111yescharacteristic
1124C23×C4—111no—
1125C23×C4—111no—
1126C23×C4—111no—
1127C23×C4—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—111no—
1131C23×C4C22×D1111yescharacteristic
1132C23×C4C22×D1111yescharacteristic
1133C23×C4C22×D1111yescharacteristic
1134C4⋊Q8—442no—
1135#127—442no—
1136#127—442no—
1137#126—224no—
1138#126—224no—
1139#126—224no—
1140#126—224no—
1141#124—224no—
1142#124—224no—
1143#124—224no—
1144#124—224no—
1145#124—442no—
1146#124—442no—
1147#123—224no—
1148#123—224no—
1149#123—224no—
1150#123—224no—
1151C22⋊Q8—224no—
1152C22⋊Q8—224no—
1153#121—24no—
1154#121—42no—
1155#121—224no—
1156#121—224no—
1157#121—224no—
1158#121—224no—
1159#121—224no—
1160#121—224no—
1161#121—442no—
1162#121—442no—
1163#121—442no—
1164#121—442no—
1165#120—24no—
1166#120—24no—
1167#120—224no—
1168#120—224no—
1169#120—224no—
1170#120—224no—
1171C4×D4—24no—
1172C4×D4—118no—
1173C4×D4—224no—
1174C4×D4—224no—
1175C4×D4—224no—
1176C4×D4—442no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—111no—
1182C2×C4⋊C4—111no—
1183C2×C4⋊C4—111no—
1184C2×C4⋊C4—111no—
1185C2×C4⋊C4—111no—
1186C2×C4⋊C4—111no—
1187C2×C4⋊C4—111no—
1188C2×C4⋊C4—111no—
1189C2×C4⋊C4—111no—
1190C2×C4⋊C4—111no—
1191C2×C4⋊C4—111no—
1192C2×C4⋊C4—111no—
1193C2×C4⋊C4—111no—
1194C2×C4⋊C4—111no—
1195C2×C4⋊C4—111no—
1196C2×C4⋊C4—111no—
1197C2×C4⋊C4—442no—
1198C2×C4⋊C4C22×D1111yescharacteristic
1199C2×C4⋊C4C22×D1111yescharacteristic
1200C2×C4⋊C4C22×D1111yescharacteristic
1201C2×C4⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4—42no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—224no—
1249C2×C22⋊C4—224no—
1250C2×C22⋊C4—442no—
1251C2×C22⋊C4C22×D1111yescharacteristic
1252C2×C22⋊C4C22×D1111yescharacteristic
1253C2×C22⋊C4C22×D1111yescharacteristic
1254C2×C22⋊C4C22×D1111yescharacteristic
1255C2×C22⋊C4C22×D1111yescharacteristic
1256C2×C22⋊C4C22×D1111yescharacteristic
1257C2×C22⋊C4C22×D1111yescharacteristic
1258C2×C22⋊C4C22×D1111yescharacteristic
1259C2×C22⋊C4C22×D1111yescharacteristic
1260C2×C22⋊C4C22×D1111yescharacteristic
1261C2×C22⋊C4C22×D1111yescharacteristic
1262C2×C22⋊C4C22×D1111yescharacteristic
1263C2×C22⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4C22×D1111yescharacteristic
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C42—111no—
1267C2×C42—111no—
1268C2×C42—111no—
1269C2×C42—111no—
1270C2×C42—111no—
1271C2×C42—111no—
1272C2×C42—111no—
1273C2×C42—111no—
1274C2×C42—111no—
1275C2×C42—111no—
1276C2×C42—111no—
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—442no—
1281C2×C42—442no—
1282C2×C42C22×D1111yescharacteristic
1283#95—111no—
1284#95—111no—
1285#95—111no—
1286#95—111no—
1287#95—111no—
1288#95—111no—
1289#95—111no—
1290#95—111no—
1291#95—111no—
1292#95—111no—
1293#95—111no—
1294#95—111no—
1295#95—111no—
1296#95—111no—
1297#95—111no—
1298#95—111no—
1299#95C22×D1111yescharacteristic
1300#95C22×D1111yescharacteristic
1301#95C22×D1111yescharacteristic
1302#95C22×D1111yescharacteristic
1303C2×C11—24no—
1304C2×C11—42no—
1305C2×C11—81no—
1306C2×C11—81no—
1307C2×C11—81no—
1308C2×C11C2×#53211yescharacteristic
1309C2×C11C2×#53811yescharacteristic
1310C2×C11#346011yescharacteristic
1311C2×C11#349611yescharacteristic
1312C2×C11#349811yescharacteristic
1313C2×C11#351411yescharacteristic
1314C2×C11#351911yescharacteristic
1315D11—81no—
1316D11—81no—
1317D11—81no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—111no—
1326C24—111no—
1327C24—111no—
1328C24—222no—
1329C24—222no—
1330C24—222no—
1331C24—441no—
1332C24—441no—
1333C24—441no—
1334C24—441no—
1335C24C23×D1111yescharacteristic
1336C24C23×D1111yescharacteristic
1337C24C23×D1111yescharacteristic
1338C24C23×D1111yescharacteristic
1339C24C23×D1111yescharacteristic
1340C2×Q8—222no—
1341C2×Q8—222no—
1342C2×Q8—441no—
1343C2×Q8—441no—
1344C2×Q8—441no—
1345C2×Q8—441no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—222no—
1367C2×D4—222no—
1368C2×D4—222no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—441no—
1390C2×D4—441no—
1391C2×D4—441no—
1392C2×D4—441no—
1393C2×D4—441no—
1394C2×D4—441no—
1395C2×D4—441no—
1396C2×D4—441no—
1397C2×D4—4416no—
1398C2×D4—441no—
1399C2×D4—441no—
1400C2×D4—441no—
1401C2×D4—441no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—441no—
1412C2×D4D4×D1114yes—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—111no—
1423C22×C4—114no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—111no—
1428C22×C4—111no—
1429C22×C4—114no—
1430C22×C4—114no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—222no—
1441C22×C4—222no—
1442C22×C4—222no—
1443C22×C4—222no—
1444C22×C4—222no—
1445C22×C4—222no—
1446C22×C4—441no—
1447C22×C4—441no—
1448C22×C4—441no—
1449C22×C4—441no—
1450C22×C4—441no—
1451C22×C4—441no—
1452C22×C4—441no—
1453C22×C4—441no—
1454C22×C4—441no—
1455C22×C4—441no—
1456C22×C4C23×D1111yescharacteristic
1457C22×C4C23×D1111yescharacteristic
1458C22×C4C23×D1111yescharacteristic
1459C22×C4C23×D1111yescharacteristic
1460C22×C4C23×D1111yescharacteristic
1461C22×C4C23×D1111yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465C22×C4C23×D1111yescharacteristic
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—114no—
1471C4⋊C4—222no—
1472C4⋊C4—222no—
1473C4⋊C4—222no—
1474C4⋊C4—222no—
1475C4⋊C4—222no—
1476C4⋊C4—222no—
1477C4⋊C4—222no—
1478C4⋊C4—222no—
1479C4⋊C4—222no—
1480C4⋊C4—222no—
1481C4⋊C4—222no—
1482C4⋊C4—222no—
1483C4⋊C4—222no—
1484C4⋊C4—222no—
1485C4⋊C4—222no—
1486C4⋊C4—441no—
1487C4⋊C4—441no—
1488C4⋊C4—441no—
1489C4⋊C4—441no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—114no—
1505C22⋊C4—114no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—222no—
1514C22⋊C4—222no—
1515C22⋊C4—222no—
1516C22⋊C4—222no—
1517C22⋊C4—222no—
1518C22⋊C4—222no—
1519C22⋊C4—222no—
1520C22⋊C4—222no—
1521C22⋊C4—222no—
1522C22⋊C4—222no—
1523C22⋊C4—222no—
1524C22⋊C4—222no—
1525C22⋊C4—222no—
1526C22⋊C4—222no—
1527C22⋊C4—222no—
1528C22⋊C4—222no—
1529C22⋊C4—222no—
1530C22⋊C4—222no—
1531C22⋊C4—222no—
1532C22⋊C4—222no—
1533C22⋊C4—222no—
1534C22⋊C4—441no—
1535C22⋊C4—441no—
1536C22⋊C4—441no—
1537C22⋊C4—441no—
1538C22⋊C4—441no—
1539C22⋊C4—441no—
1540C22⋊C4—441no—
1541C22⋊C4—441no—
1542C22⋊C4—441no—
1543C22⋊C4—441no—
1544C22⋊C4—441no—
1545C22⋊C4—441no—
1546C22⋊C4—441no—
1547C22⋊C4—441no—
1548C22⋊C4—441no—
1549C22⋊C4#434114yes—
1550C42—22no—
1551C42—114no—
1552C42—222no—
1553C42—222no—
1554C42—222no—
1555C42—222no—
1556C42—222no—
1557C42—222no—
1558C42—222no—
1559C42—222no—
1560C42—441no—
1561C42—441no—
1562C42—441no—
1563C42—441no—
1564C42—441no—
1565C11#3500711yescharacteristic, complemented, Sylow
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—444no—
1626C23—444no—
1627C23—444no—
1628C23—882no—
1629C23—882no—
1630C23—882no—
1631C23—882no—
1632C23C2×D4×D1112yes—
1633C23C2×D4×D1112yes—
1634C23C2×#434112yes—
1635C23#41×D1112yes—
1636C23C24×D1111yescharacteristic
1637Q8—882no—
1638Q8—882no—
1639D4—28no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—82no—
1646D4—444no—
1647D4—444no—
1648D4—444no—
1649D4—444no—
1650D4—444no—
1651D4—444no—
1652D4—882no—
1653D4—882no—
1654D4—882no—
1655D4—882no—
1656D4—882no—
1657D4—882no—
1658D4—882no—
1659D4—882no—
1660D4—882no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—82no—
1690C2×C4—112no—
1691C2×C4—112no—
1692C2×C4—112no—
1693C2×C4—112no—
1694C2×C4—112no—
1695C2×C4—112no—
1696C2×C4—112no—
1697C2×C4—112no—
1698C2×C4—228no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—221no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—444no—
1731C2×C4—444no—
1732C2×C4—444no—
1733C2×C4—882no—
1734C2×C4—882no—
1735C2×C4—882no—
1736C2×C4C2×D4×D1112yes—
1737C2×C4C2×#434112yes—
1738C2×C4C2×#434112yes—
1739C2×C4#6703712yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—88no—
1775C22—441no—
1776C22—441no—
1777C22—441no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—441no—
1783C22—441no—
1784C22—441no—
1785C22—441no—
1786C22—441no—
1787C22—441no—
1788C22—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—441no—
1795C22—441no—
1796C22—888no—
1797C22#1062312714yes—
1798C22C22×D4×D1111yescharacteristic
1799C22C22×#434111yescharacteristic
1800C22C2×#6703711yescharacteristic
1801C22C2×#41×D1111yescharacteristic
1802C22#1062345311yescharacteristic
1803C22D11×H(5,𝔽2)11yescharacteristic
1804C22D11×H(5,𝔽2)11yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—114no—
1816C4—222no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—81no—
1833C2—881no—
1834C2—881no—
1835C2—881no—
1836C2C2×#1062312711yescharacteristic
1837C2D11×#53811yescharacteristic
1838C2#1308203411yescharacteristic
1839C2#1308237611yescharacteristic
1840C2#1308238811yescharacteristic
1841C2#1308256411yescharacteristic
1842C2#1308263511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2424C2
hypercenter#2424D11
hypocenterC11#35007
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2424

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#10623148C2semidirect
2. C2×#10623124C2semidirect
3. #13076982C2semidirect
4. #13076970C2semidirect
5. #13076959C2semidirect
6. #13076944C2semidirect
7. #13074754C2semidirect
8. #13074752C2semidirect
9. #13074743C2semidirect
10. #13074741C2semidirect
11. #13073689C2semidirect
12. #13073688C2semidirect
13. #13073675C2semidirect
14. #13073673C2semidirect
15. #13073195C2semidirect
16. #13072972C2semidirect
17. #13072744C2semidirect
18. #13072736C2semidirect
19. #13072374C2semidirect
20. #13072317C2semidirect
21. #13072251C2semidirect
22. #13072197C2semidirect
23. #13072146C2semidirect
24. #13072053C2semidirect
25. #13071969C2semidirect
26. #13071277C2semidirect
27. #13071273C2semidirect
28. #13071126C2semidirect
29. C2×#10622570C2semidirect
30. C4×D4×Dic11C2semidirect
31. C11×#2424C2semidirect
34. C2×C11×#121C22semidirect
47. C2×#66992C22semidirect
48. C2×#66992C22semidirect
49. C2×#66992C22semidirect
50. C2×#66992C22semidirect
51. C2×#66991C22semidirect
54. C2×#66989C22semidirect
55. C2×#66988C22semidirect
59. C2×#66983C22semidirect
65. C22×C4×Dic11C22semidirect
68. C2×#66951C22semidirect
69. C2×#66951C22semidirect
70. C2×#66941C22semidirect
71. C2×#66939C22semidirect
72. C2×#66939C22semidirect
73. C2×#66938C22semidirect
74. C2×#66938C22semidirect
75. C2×#66938C22semidirect
76. C2×#66938C22semidirect
77. C2×#66938C22semidirect
78. C2×#66936C22semidirect
81. C2×(C22⋊D11)⋊C4C22semidirect
82. C2×#66932C22semidirect
83. C2×#66932C22semidirect
85. C11×#396C22semidirect
86. C11×#394C22semidirect
87. C11×#394C22semidirect
88. C11×#392C22semidirect
89. C11×#390C22semidirect
90. C11×#388C22semidirect
92. C11×#386C22semidirect
99. #10622835C22semidirect
100. #10622834C22semidirect
101. #10622834C22semidirect
103. #10622833C22semidirect
104. #10622833C22semidirect
107. #10622826C22semidirect
109. C4×C22⋊Dic11C22semidirect
110. #10622607C22semidirect
111. #10622607C22semidirect
112. #10622604C22semidirect
113. #10622603C22semidirect
114. #10622603C22semidirect
115. #10622601C22semidirect
116. #10622601C22semidirect
117. #10622597C22semidirect
118. #10622592C22semidirect
119. #10622589C22semidirect
120. C4⋊C4×Dic11C22semidirect
121. C4⋊C4×Dic11C22semidirect
122. #10622585C22semidirect
125. #10622574C22semidirect
126. #10622574C22semidirect
127. #10622574C22semidirect
130. #10622573C22semidirect
131. #10622572C22semidirect
132. #10622572C22semidirect
133. #10622572C22semidirect
146. #10622570C22semidirect
147. #10622570C22semidirect
148. #10622570C22semidirect
149. #10622570C22semidirect
151. #10622565C22semidirect
152. #10622564C22semidirect
153. #10622564C22semidirect
154. #10622564C22semidirect
155. #10622564C22semidirect
156. #10622564C22semidirect
158. #10622561C22semidirect
159. #10622560C22semidirect
160. #10622557C22semidirect
161. #10622557C22semidirect
163. #10622555C22semidirect
166. C22⋊C4×Dic11C22semidirect
167. C22⋊C4×Dic11C22semidirect
168. C22⋊C4×Dic11C22semidirect
169. #10622553C22semidirect
170. #10622552C22semidirect
171. C4×C4⋊Dic11C22semidirect
172. C42×Dic11C22semidirect
173. #10622288C22semidirect
174. #10622286C22semidirect
175. #10622283C22semidirect
176. #10622283C22semidirect
177. #10622282C22semidirect
178. #10622282C22semidirect
179. #10622282C22semidirect
180. #10622279C22semidirect
181. #10622278C22semidirect
182. #10622278C22semidirect
183. #10622270C22semidirect
184. #10622269C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
293. D4×Dic11D4semidirect
516. C22×Dic11C2×D4semidirect
585. C22⋊Dic11C2×D4semidirect
617. C4⋊Dic11C2×D4semidirect
644. C4×Dic11C2×D4semidirect
668. #2424D11semidirect
883. C2×#121C2×D11semidirect
910. #396C2×D11semidirect
923. #394C2×D11semidirect
924. #394C2×D11semidirect
934. #392C2×D11semidirect
956. #390C2×D11semidirect
976. #388C2×D11semidirect
986. #386C2×D11semidirect
1094. Dic11#538semidirect
1565. C11#35007semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106231482
C2×#106231242
#130769822
#130769702
#130769592
#130769442
#130747542
#130747522
#130747432
#130747412
#130736892
#130736882
#130736752
#130736732
#130731952
#130729722
#130727442
#130727362
#130723742
#130723172
#130722512
#130721972
#130721462
#130720532
#130719692
#130712772
#130712732
#130711262
C2×#106225702
C4×D4×Dic112
C11×#24242
#3500711