Finite Group Databasebeta

← D11×#2342 #14912979

Subgroups — D11×#2342 #14912979

Order 2816.

4990 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#117C211yesmaximal, characteristic, complemented
2C22×C22⋊C4×D11C211yesmaximal, characteristic
3C22×C22⋊C4×D11C211yesmaximal, characteristic
4#13071468C211yesmaximal, characteristic, complemented
5#13071467C211yesmaximal, characteristic, complemented
6#13071466C211yesmaximal, characteristic, complemented
7#13071465C211yesmaximal, characteristic, complemented
8#13071464C212yesmaximal, complemented
9#13071463C212yesmaximal, complemented
10#13071462C211yesmaximal, characteristic, complemented
11#13071461C211yesmaximal, characteristic, complemented
12#13071460C212yesmaximal, complemented
13#13071459C212yesmaximal, complemented
14#13071458C211yesmaximal, characteristic, complemented
15D11×#388C212yesmaximal, complemented
16D11×#388C212yesmaximal, complemented
17D11×#385C212yesmaximal, complemented
18D11×#381C211yesmaximal, characteristic, complemented
19D11×#380C211yesmaximal, characteristic, complemented
20D11×#379C211yesmaximal, characteristic
21C4×C22⋊C4×D11C212yesmaximal, complemented
22C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
23C11×#2342C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C23×C4×D11C2212yes—
26C23×C4×D11C2211yescharacteristic
27C23×C4×D11C2211yescharacteristic
28C2×C11×#117C2211yescharacteristic, complemented
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C22⋊Dic11C2211yescharacteristic
32C22×C22⋊Dic11C2211yescharacteristic
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C2×#66979C2211yescharacteristic, complemented
37D11×#117—28no—
38C2×#66945C2212yescomplemented
39C2×C4⋊C4×D11C2212yescomplemented
40C2×C4⋊C4×D11C2212yescomplemented
41C2×C22⋊C4×D11—28no—
42C2×C22⋊C4×D11C4116yescomplemented
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2212yes—
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2212yes—
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2212yes—
51C2×C22⋊C4×D11C2212yes—
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×#66930C2211yescharacteristic, complemented
62C2×#66930C2211yescharacteristic, complemented
63C2×#66925C2212yescomplemented
64C2×C42×D11C2212yescomplemented
65C2×C42×D11C2212yescomplemented
66C11×#388C2212yescomplemented
67C11×#388C2212yescomplemented
68C11×#385C2212yescomplemented
69C11×#381C2211yescharacteristic, complemented
70C11×#380C2211yescharacteristic, complemented
71C11×#379C2211yescharacteristic
72C4×C11×C22⋊C4C2212yescomplemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622860C2211yescharacteristic
75#10622825C2211yescharacteristic, complemented
76#10622824C2211yescharacteristic, complemented
77#10622823C2212yescomplemented
78C4×C22⋊Dic11C2212yescomplemented
79C4×C22⋊Dic11C2211yescharacteristic, complemented
80#10622603C2212yescomplemented
81#10622603C2212yescomplemented
82#10622602C2212yescomplemented
83#10622602C2212yescomplemented
84#10622600C2212yescomplemented
85#10622568C2211yescharacteristic
86#10622568C2212yes—
87#10622568C2212yes—
88#10622568C2211yescharacteristic
89#10622564C2212yescomplemented
90#10622564C2212yescomplemented
91#10622563C2212yescomplemented
92#10622559C2212yescomplemented
93#10622558C2212yescomplemented
94#10622558C2212yescomplemented
95#10622557C2212yescomplemented
96#10622557C2212yescomplemented
97#10622556C2211yescharacteristic, complemented
98#10622556C2211yescharacteristic, complemented
99#10622555C2211yescharacteristic, complemented
100#10622555C2211yescharacteristic, complemented
101C22⋊C4×Dic11C2211yescharacteristic, complemented
102C22⋊C4×Dic11C2212yescomplemented
103C22⋊C4×Dic11C2211yescharacteristic, complemented
104C22⋊C4×Dic11C2212yescomplemented
105#10622553C2212yescomplemented
106#10622553C2212yescomplemented
107C4×(C2×D11)⋊C4C2212yescomplemented
108C4×(C2×D11)⋊C4C2212yescomplemented
109C4×(C2×D11)⋊C4C2212yescomplemented
110#10622283C2212yescomplemented
111#10622283C2212yescomplemented
112#10622282C2212yescomplemented
113#10622282C2212yescomplemented
114#10622281C2212yescomplemented
115#10622281C2212yescomplemented
116#10622280C2212yescomplemented
117#10622279C2212yescomplemented
118#10622279C2212yescomplemented
119#10622279C2212yescomplemented
120#10622277C2212yescomplemented
121#10622277C2212yescomplemented
122D11×#95C2212yescomplemented
123D11×#95C2212yescomplemented
124D11×#95C2212yescomplemented
125D11×#95C2212yescomplemented
126C25×C11C2311yescharacteristic
127C24×D11—24no—
128C24×D11—28no—
129C24×D11—24no—
130C24×D11—44no—
131C24×D11C2×C418yes—
132C24×D11C2311yescharacteristic
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C24×D11C2311yescharacteristic
136C24×D11C2311yescharacteristic
137C24×D11C2311yescharacteristic
138C23×C4×C11C2312yes—
139C23×C4×C11C2311yescharacteristic
140C23×C4×C11C2311yescharacteristic
141C23×Dic11C2312yes—
142C23×Dic11C2311yescharacteristic
143C23×Dic11C2311yescharacteristic
144C22×C4×D11—24no—
145C22×C4×D11—24no—
146C22×C4×D11—28no—
147C22×C4×D11—28no—
148C22×C4×D11—44no—
149C22×C4×D11—44no—
150C22×C4×D11C2×C418yescomplemented
151C22×C4×D11C2×C418yescomplemented
152C22×C4×D11C2312yes—
153C22×C4×D11C2312yes—
154C22×C4×D11C2312yes—
155C22×C4×D11C2312yes—
156C22×C4×D11C2312yes—
157C22×C4×D11C2311yescharacteristic
158C22×C4×D11C2311yescharacteristic
159C22×C4×D11C2311yescharacteristic
160C22×C4×D11C2311yescharacteristic
161C22×C4×D11C2311yescharacteristic
162C22×C4×D11C2311yescharacteristic
163C22×C4×D11C2312yes—
164C22×C4×D11C2311yescharacteristic
165C22×C4×D11C2311yescharacteristic
166C11×#117—24no—
167C2×C11×C4⋊C4C2312yescomplemented
168C2×C11×C4⋊C4C2312yescomplemented
169C2×C11×C22⋊C4—24no—
170C2×C11×C22⋊C4C2×C418yescomplemented
171C2×C11×C22⋊C4C2311yescharacteristic
172C2×C11×C22⋊C4C2311yescharacteristic
173C2×C11×C22⋊C4C2312yes—
174C2×C11×C22⋊C4C2311yescharacteristic
175C2×C11×C22⋊C4C2312yes—
176C2×C11×C22⋊C4C2312yes—
177C2×C11×C22⋊C4C2311yescharacteristic
178C2×C11×C22⋊C4C2311yescharacteristic
179C2×C11×C22⋊C4C2311yescharacteristic
180C2×C11×C22⋊C4C2311yescharacteristic
181C2×C11×C22⋊C4C2311yescharacteristic
182C2×C42×C11C2312yescomplemented
183C2×C42×C11C2312yescomplemented
184C2×C22⋊Dic11—24no—
185C2×C22⋊Dic11C2×C418yescomplemented
186C2×C22⋊Dic11C2311yescharacteristic
187C2×C22⋊Dic11C2311yescharacteristic
188C2×C22⋊Dic11C2312yes—
189C2×C22⋊Dic11C2311yescharacteristic
190C2×C22⋊Dic11C2312yes—
191C2×C22⋊Dic11C2312yes—
192C2×C22⋊Dic11C2311yescharacteristic
193C2×C22⋊Dic11C2311yescharacteristic
194C2×C22⋊Dic11C2311yescharacteristic
195C2×C22⋊Dic11C2311yescharacteristic
196C2×C22⋊Dic11C2311yescharacteristic
197C2×(C2×D11)⋊C4—28no—
198C2×(C2×D11)⋊C4C2×C418yescomplemented
199C2×(C2×D11)⋊C4C2×C418yescomplemented
200C2×(C2×D11)⋊C4C2312yes—
201C2×(C2×D11)⋊C4C2312yes—
202C2×(C2×D11)⋊C4C2312yes—
203C2×(C2×D11)⋊C4C2312yes—
204C2×(C2×D11)⋊C4C2312yes—
205C2×(C2×D11)⋊C4C2312yes—
206C2×(C2×D11)⋊C4C2312yes—
207C2×(C2×D11)⋊C4C2312yes—
208C2×(C2×D11)⋊C4C2312yes—
209C2×(C2×D11)⋊C4C2311yescharacteristic
210C2×(C2×D11)⋊C4C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×(C2×D11)⋊C4C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2312yes—
218#66979—24no—
219C2×C4⋊Dic11C2312yescomplemented
220C2×C4⋊Dic11C2312yescomplemented
221C2×Dic11⋊C4C2312yescomplemented
222C2×Dic11⋊C4C2312yescomplemented
223C2×Dic11⋊C4C2312yescomplemented
224C2×Dic11⋊C4C2312yescomplemented
225C2×C4×Dic11C2312yescomplemented
226C2×C4×Dic11C2312yescomplemented
227C2×C4×Dic11C2312yescomplemented
228C2×C4×Dic11C2312yescomplemented
229C2×C4×Dic11C2312yescomplemented
230C2×C4×Dic11C2312yescomplemented
231#66945—28no—
232C4⋊C4×D11—28no—
233C4⋊C4×D11—44no—
234C22⋊C4×D11—24no—
235C22⋊C4×D11—24no—
236C22⋊C4×D11—28no—
237C22⋊C4×D11—24no—
238C22⋊C4×D11—28no—
239C22⋊C4×D11—24no—
240C22⋊C4×D11—24no—
241C22⋊C4×D11—28no—
242C22⋊C4×D11—44no—
243C22⋊C4×D11C2×C418yes—
244C22⋊C4×D11C2×C418yes—
245C22⋊C4×D11C2×C418yescomplemented
246C22⋊C4×D11C2×C418yescomplemented
247C22⋊C4×D11C2×C418yescomplemented
248C22⋊C4×D11C2×C418yescomplemented
249C22⋊C4×D11C2×C418yescomplemented
250C22⋊C4×D11C2×C418yescomplemented
251C22⋊C4×D11D418yes—
252#66930—24no—
253#66930—24no—
254#66925—28no—
255C42×D11—28no—
256C42×D11—44no—
257C11×#95C2312yescomplemented
258C11×#95C2312yescomplemented
259C11×#95C2312yescomplemented
260C11×#95C2312yescomplemented
261C11⋊#95C2312yescomplemented
262C11⋊#95C2312yescomplemented
263C11⋊#95C2312yescomplemented
264C11⋊#95C2312yescomplemented
265C11⋊#95C2312yescomplemented
266C11⋊#95C2312yescomplemented
267C11⋊#95C2312yescomplemented
268C11⋊#95C2312yescomplemented
269C11⋊#95C2312yescomplemented
270C11⋊#95C2312yescomplemented
271C11⋊#95C2312yescomplemented
272C11⋊#95C2312yescomplemented
273C2×#2342—111nomaximal, Sylow
274C24×C11—22no—
275C24×C11—24no—
276C24×C11—22no—
277C24×C11—42no—
278C24×C11C22×C414yes—
279C24×C11C2411yescharacteristic
280C24×C11C2411yescharacteristic
281C24×C11C2411yescharacteristic
282C23×D11—22no—
283C23×D11—24no—
284C23×D11—22no—
285C23×D11—24no—
286C23×D11—24no—
287C23×D11—22no—
288C23×D11—24no—
289C23×D11—22no—
290C23×D11—232no—
291C23×D11—232no—
292C23×D11—22no—
293C23×D11—22no—
294C23×D11—22no—
295C23×D11—24no—
296C23×D11—22no—
297C23×D11—24no—
298C23×D11—24no—
299C23×D11—22no—
300C23×D11—22no—
301C23×D11—24no—
302C23×D11—416no—
303C23×D11—42no—
304C23×D11—42no—
305C23×D11—42no—
306C23×D11—432no—
307C23×D11—432no—
308C23×D11C22×C414yes—
309C23×D11C22×C414yes—
310C23×D11C22×C414yes—
311C23×D11C22×C414yes—
312C23×D11C22×C414yes—
313C23×D11C22×C414yes—
314C23×D11C2×D414yes—
315C23×D11#4118yes—
316C23×D11#4114yes—
317C23×D11C2411yescharacteristic
318C23×D11C2411yescharacteristic
319C23×D11C2411yescharacteristic
320C23×D11C2411yescharacteristic
321C22×C4×C11—22no—
322C22×C4×C11—22no—
323C22×C4×C11—24no—
324C22×C4×C11—24no—
325C22×C4×C11—42no—
326C22×C4×C11—42no—
327C22×C4×C11C22×C414yescomplemented
328C22×C4×C11C22×C414yescomplemented
329C22×C4×C11C2412yes—
330C22×C4×C11C2412yes—
331C22×C4×C11C2412yes—
332C22×C4×C11C2411yescharacteristic
333C22×C4×C11C2411yescharacteristic
334C22×C4×C11C2411yescharacteristic
335C22×C4×C11C2411yescharacteristic
336C22×C4×C11C2412yes—
337C22×Dic11—24no—
338C22×Dic11—22no—
339C22×Dic11—22no—
340C22×Dic11—24no—
341C22×Dic11—42no—
342C22×Dic11—42no—
343C22×Dic11C22×C414yescomplemented
344C22×Dic11C22×C414yescomplemented
345C22×Dic11C2412yes—
346C22×Dic11C2412yes—
347C22×Dic11C2412yes—
348C22×Dic11C2411yescharacteristic
349C22×Dic11C2411yescharacteristic
350C22×Dic11C2411yescharacteristic
351C22×Dic11C2411yescharacteristic
352C22×Dic11C2412yes—
353C2×C4×D11—24no—
354C2×C4×D11—232no—
355C2×C4×D11—22no—
356C2×C4×D11—22no—
357C2×C4×D11—22no—
358C2×C4×D11—22no—
359C2×C4×D11—24no—
360C2×C4×D11—24no—
361C2×C4×D11—22no—
362C2×C4×D11—22no—
363C2×C4×D11—24no—
364C2×C4×D11—22no—
365C2×C4×D11—22no—
366C2×C4×D11—24no—
367C2×C4×D11—24no—
368C2×C4×D11—24no—
369C2×C4×D11—24no—
370C2×C4×D11—24no—
371C2×C4×D11—24no—
372C2×C4×D11—24no—
373C2×C4×D11—24no—
374C2×C4×D11—24no—
375C2×C4×D11—24no—
376C2×C4×D11—24no—
377C2×C4×D11—24no—
378C2×C4×D11—24no—
379C2×C4×D11—42no—
380C2×C4×D11—42no—
381C2×C4×D11—42no—
382C2×C4×D11—42no—
383C2×C4×D11—416no—
384C2×C4×D11—432no—
385C2×C4×D11C22×C414yes—
386C2×C4×D11C22×C414yes—
387C2×C4×D11C22×C414yes—
388C2×C4×D11C22×C414yes—
389C2×C4×D11C22×C414yescomplemented
390C2×C4×D11C22×C414yescomplemented
391C2×C4×D11C22×C414yescomplemented
392C2×C4×D11C22×C414yescomplemented
393C2×C4×D11C2×D418yes—
394C11×C4⋊C4—24no—
395C11×C4⋊C4—42no—
396C11×C22⋊C4—22no—
397C11×C22⋊C4—22no—
398C11×C22⋊C4—24no—
399C11×C22⋊C4—22no—
400C11×C22⋊C4—24no—
401C11×C22⋊C4—42no—
402C11×C22⋊C4C22×C414yes—
403C11×C22⋊C4C22×C414yes—
404C11×C22⋊C4C22×C414yescomplemented
405C11×C22⋊C4C22×C414yescomplemented
406C11×C22⋊C4C2×D414yes—
407C42×C11—24no—
408C42×C11—42no—
409C22⋊Dic11—24no—
410C22⋊Dic11—22no—
411C22⋊Dic11—22no—
412C22⋊Dic11—24no—
413C22⋊Dic11—22no—
414C22⋊Dic11—42no—
415C22⋊Dic11C22×C414yes—
416C22⋊Dic11C22×C414yes—
417C22⋊Dic11C22×C414yescomplemented
418C22⋊Dic11C22×C414yescomplemented
419C22⋊Dic11C2×D414yes—
420(C2×D11)⋊C4—24no—
421(C2×D11)⋊C4—24no—
422(C2×D11)⋊C4—24no—
423(C2×D11)⋊C4—24no—
424(C2×D11)⋊C4—24no—
425(C2×D11)⋊C4—24no—
426(C2×D11)⋊C4—24no—
427(C2×D11)⋊C4—42no—
428(C2×D11)⋊C4—42no—
429(C2×D11)⋊C4C22×C414yes—
430(C2×D11)⋊C4C22×C414yes—
431(C2×D11)⋊C4C22×C414yes—
432(C2×D11)⋊C4C22×C414yes—
433(C2×D11)⋊C4C22×C414yescomplemented
434(C2×D11)⋊C4C22×C414yescomplemented
435(C2×D11)⋊C4C22×C414yescomplemented
436(C2×D11)⋊C4C22×C414yescomplemented
437(C2×D11)⋊C4C2×D418yes—
438C4⋊Dic11—24no—
439C4⋊Dic11—42no—
440Dic11⋊C4—24no—
441Dic11⋊C4—24no—
442Dic11⋊C4—42no—
443Dic11⋊C4—42no—
444C4×Dic11—24no—
445C4×Dic11—24no—
446C4×Dic11—24no—
447C4×Dic11—42no—
448C4×Dic11—42no—
449C4×Dic11—42no—
450C22×#117—111no—
451C23×C22⋊C4—111no—
452C23×C22⋊C4—111no—
453#2342—112no—
454#2342—112no—
455#2342—112no—
456#2342—111no—
457#2342—111no—
458#2342—111no—
459#2342—112no—
460#2342—111no—
461#2342—111no—
462#2342—111no—
463#2342—111no—
464#2342D1111yescharacteristic, direct product factor
465C2×#388—112no—
466C2×#388—112no—
467C2×#385—112no—
468C2×#381—111no—
469C2×#380—111no—
470C2×#379—111no—
471C2×C4×C22⋊C4—111no—
472C2×C4×C22⋊C4—112no—
473C23×C11—21no—
474C23×C11—22no—
475C23×C11—21no—
476C23×C11—22no—
477C23×C11—22no—
478C23×C11—28no—
479C23×C11—28no—
480C23×C11—21no—
481C23×C11—22no—
482C23×C11—21no—
483C23×C11—22no—
484C23×C11—44no—
485C23×C11—48no—
486C23×C11—48no—
487C23×C11C23×C412yes—
488C23×C11C23×C412yes—
489C23×C11C23×C412yes—
490C23×C11C22×D412yes—
491C23×C11C2×#4114yes—
492C23×C11C2×#4112yes—
493C23×C11C2511yescharacteristic
494C22×D11—21no—
495C22×D11—22no—
496C22×D11—21no—
497C22×D11—22no—
498C22×D11—22no—
499C22×D11—28no—
500C22×D11—28no—
501C22×D11—28no—
502C22×D11—28no—
503C22×D11—216no—
504C22×D11—216no—
505C22×D11—216no—
506C22×D11—216no—
507C22×D11—28no—
508C22×D11—28no—
509C22×D11—21no—
510C22×D11—22no—
511C22×D11—21no—
512C22×D11—22no—
513C22×D11—28no—
514C22×D11—28no—
515C22×D11—28no—
516C22×D11—28no—
517C22×D11—28no—
518C22×D11—28no—
519C22×D11—28no—
520C22×D11—44no—
521C22×D11—44no—
522C22×D11—44no—
523C22×D11—48no—
524C22×D11—48no—
525C22×D11—4128no—
526C22×D11—48no—
527C22×D11—48no—
528C22×D11—48no—
529C22×D11—48no—
530C22×D11—48no—
531C22×D11—48no—
532C22×D11#117116yescomplemented
533C22×D11C4×D4116yes—
534C22×D11C23×C412yes—
535C22×D11C23×C412yes—
536C22×D11C23×C412yes—
537C22×D11C23×C412yes—
538C22×D11C22×D412yes—
539C22×D11C22×D412yes—
540C22×D11C2×#4114yes—
541C22×D11C2×#4112yes—
542C22×D11C2×#4114yes—
543C22×D11C2×#4112yes—
544C22×D11H(5,𝔽2)14yes—
545C2×C4×C11—28no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—22no—
551C2×C4×C11—22no—
552C2×C4×C11—22no—
553C2×C4×C11—22no—
554C2×C4×C11—22no—
555C2×C4×C11—22no—
556C2×C4×C11—22no—
557C2×C4×C11—22no—
558C2×C4×C11—22no—
559C2×C4×C11—22no—
560C2×C4×C11—22no—
561C2×C4×C11—22no—
562C2×C4×C11—22no—
563C2×C4×C11—44no—
564C2×C4×C11—48no—
565C2×C4×C11C23×C412yes—
566C2×C4×C11C23×C412yes—
567C2×C4×C11C23×C412yes—
568C2×C4×C11C23×C412yes—
569C2×C4×C11C22×D414yes—
570C2×Dic11—28no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—22no—
576C2×Dic11—22no—
577C2×Dic11—22no—
578C2×Dic11—22no—
579C2×Dic11—22no—
580C2×Dic11—22no—
581C2×Dic11—22no—
582C2×Dic11—22no—
583C2×Dic11—22no—
584C2×Dic11—22no—
585C2×Dic11—22no—
586C2×Dic11—22no—
587C2×Dic11—22no—
588C2×Dic11—44no—
589C2×Dic11—48no—
590C2×Dic11C23×C412yes—
591C2×Dic11C23×C412yes—
592C2×Dic11C23×C412yes—
593C2×Dic11C23×C412yes—
594C2×Dic11C22×D414yes—
595C4×D11—28no—
596C4×D11—28no—
597C4×D11—28no—
598C4×D11—28no—
599C4×D11—28no—
600C4×D11—28no—
601C4×D11—216no—
602C4×D11—44no—
603C4×D11—44no—
604C4×D11—48no—
605C4×D11—48no—
606C4×D11—48no—
607C4×D11—48no—
608C4×D11—48no—
609C26—111no—
610C24×C4—111no—
611C24×C4—111no—
612C24×C4—112no—
613C2×#117—111no—
614C2×#117—112no—
615C2×#117—111no—
616C2×#117—111no—
617C2×#117—112no—
618C2×#117—228no—
619C2×#117C2×D1111yescharacteristic, complemented
620C22×C4⋊C4—112no—
621C22×C4⋊C4—112no—
622C22×C22⋊C4—111no—
623C22×C22⋊C4—111no—
624C22×C22⋊C4—111no—
625C22×C22⋊C4—111no—
626C22×C22⋊C4—111no—
627C22×C22⋊C4—111no—
628C22×C22⋊C4—111no—
629C22×C22⋊C4—111no—
630C22×C22⋊C4—111no—
631C22×C22⋊C4—111no—
632C22×C22⋊C4—111no—
633C22×C22⋊C4—111no—
634C22×C22⋊C4—1116no—
635C22×C22⋊C4—111no—
636C22×C22⋊C4—112no—
637C22×C22⋊C4—111no—
638C22×C22⋊C4—112no—
639C22×C22⋊C4—111no—
640C22×C22⋊C4—111no—
641C22×C22⋊C4—112no—
642C22×C22⋊C4—111no—
643C22×C22⋊C4—111no—
644C22×C22⋊C4—112no—
645C22×C22⋊C4—112no—
646C22×C22⋊C4—228no—
647C22×C22⋊C4C2×D1111yescharacteristic
648C22×C22⋊C4C2×D1111yescharacteristic
649C22×C42—112no—
650C22×C42—112no—
651#388—112no—
652#388—112no—
653#388—112no—
654#388—112no—
655#388—112no—
656#388—112no—
657#388—112no—
658#388—112no—
659#388—112no—
660#388—112no—
661#388—112no—
662#388—112no—
663#388—112no—
664#388—112no—
665#388C2×D1112yescomplemented
666#388C2×D1112yescomplemented
667#385—112no—
668#385—112no—
669#385—112no—
670#385—112no—
671#385—112no—
672#385—112no—
673#385—112no—
674#385C2×D1112yescomplemented
675#381—111no—
676#381—111no—
677#381—111no—
678#381—112no—
679#381—112no—
680#381C2×D1111yescharacteristic, complemented
681#380—111no—
682#380—112no—
683#380—111no—
684#380—111no—
685#380—112no—
686#380C2×D1111yescharacteristic, complemented
687#379—111no—
688#379—111no—
689#379—111no—
690#379—112no—
691#379—112no—
692#379C2×D1111yescharacteristic
693C4×C22⋊C4—112no—
694C4×C22⋊C4—111no—
695C4×C22⋊C4—112no—
696C4×C22⋊C4—112no—
697C4×C22⋊C4—111no—
698C4×C22⋊C4—111no—
699C4×C22⋊C4—112no—
700C4×C22⋊C4—112no—
701C4×C22⋊C4—112no—
702C4×C22⋊C4—112no—
703C4×C22⋊C4—112no—
704C4×C22⋊C4—112no—
705C4×C22⋊C4C2×D1112yescomplemented
706C4×C22⋊C4C2×D1111yescharacteristic, complemented
707C2×#95—112no—
708C2×#95—112no—
709C2×#95—112no—
710C2×#95—112no—
711C22×C11—22no—
712C22×C11—22no—
713C22×C11—22no—
714C22×C11—22no—
715C22×C11—24no—
716C22×C11—24no—
717C22×C11—24no—
718C22×C11—24no—
719C22×C11—22no—
720C22×C11—22no—
721C22×C11—22no—
722C22×C11—416no—
723C22×C11—42no—
724C22×C11—42no—
725C22×C11C2×#11714yescomplemented
726C22×C11C2×C4×D414yes—
727C22×C11C24×C411yescharacteristic
728C22×C11C23×D411yescharacteristic
729C22×C11C22×#4112yes—
730C22×C11C22×#4111yescharacteristic
731C22×C11C2×H(5,𝔽2)12yes—
732C2×D11—22no—
733C2×D11—22no—
734C2×D11—22no—
735C2×D11—22no—
736C2×D11—24no—
737C2×D11—24no—
738C2×D11—24no—
739C2×D11—24no—
740C2×D11—232no—
741C2×D11—232no—
742C2×D11—22no—
743C2×D11—22no—
744C2×D11—22no—
745C2×D11—416no—
746C2×D11—416no—
747C2×D11—416no—
748C2×D11—42no—
749C2×D11—42no—
750C2×D11—416no—
751C2×D11C2×#11714yes—
752C2×D11C2×#11714yescomplemented
753C2×D11C2×C4×D414yes—
754C2×D11C2×C4×D414yes—
755C2×D11#51814yes—
756C2×D11#54618yes—
757C2×D11#55118yes—
758C4×C11—22no—
759C4×C11—22no—
760C4×C11—22no—
761C4×C11—22no—
762C4×C11—24no—
763C4×C11—42no—
764C4×C11—42no—
765C4×C11—42no—
766Dic11—22no—
767Dic11—22no—
768Dic11—22no—
769Dic11—22no—
770Dic11—24no—
771Dic11—42no—
772Dic11—42no—
773Dic11—42no—
774C25—111no—
775C25—111no—
776C25—111no—
777C25—118no—
778C25—111no—
779C25—111no—
780C25—111no—
781C25—224no—
782C25—228no—
783C25—224no—
784C25—444no—
785C25C22×D1111yescharacteristic
786C23×C4—111no—
787C23×C4—111no—
788C23×C4—118no—
789C23×C4—111no—
790C23×C4—111no—
791C23×C4—112no—
792C23×C4—111no—
793C23×C4—111no—
794C23×C4—111no—
795C23×C4—111no—
796C23×C4—118no—
797C23×C4—111no—
798C23×C4—111no—
799C23×C4—112no—
800C23×C4—112no—
801C23×C4—112no—
802C23×C4—112no—
803C23×C4—112no—
804C23×C4—112no—
805C23×C4—228no—
806C23×C4—224no—
807C23×C4—224no—
808C23×C4—228no—
809C23×C4—444no—
810C23×C4—444no—
811C23×C4C22×D1112yes—
812C23×C4C22×D1111yescharacteristic
813C23×C4C22×D1111yescharacteristic
814#117—24no—
815#117—228no—
816#117—224no—
817#117—228no—
818#117—224no—
819#117—224no—
820C2×C4⋊C4—112no—
821C2×C4⋊C4—112no—
822C2×C4⋊C4—112no—
823C2×C4⋊C4—112no—
824C2×C4⋊C4—112no—
825C2×C4⋊C4—112no—
826C2×C4⋊C4—228no—
827C2×C4⋊C4—444no—
828C2×C4⋊C4C22×D1112yescomplemented
829C2×C4⋊C4C22×D1112yescomplemented
830C2×C22⋊C4—24no—
831C2×C22⋊C4—118no—
832C2×C22⋊C4—111no—
833C2×C22⋊C4—111no—
834C2×C22⋊C4—111no—
835C2×C22⋊C4—111no—
836C2×C22⋊C4—111no—
837C2×C22⋊C4—118no—
838C2×C22⋊C4—118no—
839C2×C22⋊C4—112no—
840C2×C22⋊C4—111no—
841C2×C22⋊C4—111no—
842C2×C22⋊C4—111no—
843C2×C22⋊C4—111no—
844C2×C22⋊C4—111no—
845C2×C22⋊C4—111no—
846C2×C22⋊C4—111no—
847C2×C22⋊C4—111no—
848C2×C22⋊C4—118no—
849C2×C22⋊C4—118no—
850C2×C22⋊C4—118no—
851C2×C22⋊C4—118no—
852C2×C22⋊C4—118no—
853C2×C22⋊C4—118no—
854C2×C22⋊C4—118no—
855C2×C22⋊C4—118no—
856C2×C22⋊C4—118no—
857C2×C22⋊C4—111no—
858C2×C22⋊C4—112no—
859C2×C22⋊C4—111no—
860C2×C22⋊C4—111no—
861C2×C22⋊C4—112no—
862C2×C22⋊C4—112no—
863C2×C22⋊C4—112no—
864C2×C22⋊C4—112no—
865C2×C22⋊C4—112no—
866C2×C22⋊C4—112no—
867C2×C22⋊C4—112no—
868C2×C22⋊C4—112no—
869C2×C22⋊C4—112no—
870C2×C22⋊C4—112no—
871C2×C22⋊C4—112no—
872C2×C22⋊C4—224no—
873C2×C22⋊C4—228no—
874C2×C22⋊C4—228no—
875C2×C22⋊C4—224no—
876C2×C22⋊C4—224no—
877C2×C22⋊C4—224no—
878C2×C22⋊C4—228no—
879C2×C22⋊C4—228no—
880C2×C22⋊C4—224no—
881C2×C22⋊C4—224no—
882C2×C22⋊C4—444no—
883C2×C22⋊C4C4×D1118yescomplemented
884C2×C22⋊C4C22×D1111yescharacteristic
885C2×C22⋊C4C22×D1112yes—
886C2×C22⋊C4C22×D1111yescharacteristic
887C2×C22⋊C4C22×D1111yescharacteristic
888C2×C22⋊C4C22×D1112yes—
889C2×C22⋊C4C22×D1112yes—
890C2×C22⋊C4C22×D1111yescharacteristic
891C2×C22⋊C4C22×D1111yescharacteristic
892C2×C22⋊C4C22×D1111yescharacteristic
893C2×C22⋊C4C22×D1111yescharacteristic
894C2×C22⋊C4C22×D1111yescharacteristic
895C2×C42—112no—
896C2×C42—112no—
897C2×C42—112no—
898C2×C42—112no—
899C2×C42—112no—
900C2×C42—112no—
901C2×C42—228no—
902C2×C42—444no—
903C2×C42C22×D1112yescomplemented
904C2×C42C22×D1112yescomplemented
905#95—112no—
906#95—112no—
907#95—112no—
908#95—112no—
909#95—112no—
910#95—112no—
911#95—112no—
912#95—112no—
913#95—112no—
914#95—112no—
915#95—112no—
916#95—112no—
917#95C22×D1112yescomplemented
918#95C22×D1112yescomplemented
919#95C22×D1112yescomplemented
920#95C22×D1112yescomplemented
921C2×C11—24no—
922C2×C11—24no—
923C2×C11—42no—
924C2×C11C22×#11711yescharacteristic
925C2×C11C22×C4×D411yescharacteristic
926C2×C11C2×#51811yescharacteristic
927C2×C11C2×#54612yes—
928C2×C11C2×#55112yes—
929D11—24no—
930D11—24no—
931D11—42no—
932D11#234218yesdirect product factor
933C24—22no—
934C24—24no—
935C24—22no—
936C24—42no—
937C24—111no—
938C24—114no—
939C24—114no—
940C24—114no—
941C24—118no—
942C24—114no—
943C24—111no—
944C24—111no—
945C24—114no—
946C24—111no—
947C24—114no—
948C24—114no—
949C24—114no—
950C24—222no—
951C24—224no—
952C24—224no—
953C24—224no—
954C24—222no—
955C24—222no—
956C24—222no—
957C24—222no—
958C24—224no—
959C24—224no—
960C24—222no—
961C24—2232no—
962C24—2232no—
963C24—224no—
964C24—222no—
965C24—224no—
966C24—222no—
967C24—222no—
968C24—224no—
969C24—222no—
970C24—442no—
971C24—442no—
972C24—442no—
973C24—4416no—
974C24—4432no—
975C24—4432no—
976C24C2×C4×D1114yes—
977C24C23×D1111yescharacteristic
978C24C23×D1111yescharacteristic
979C24C23×D1111yescharacteristic
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—24no—
983C22×C4—24no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—114no—
987C22×C4—111no—
988C22×C4—111no—
989C22×C4—111no—
990C22×C4—111no—
991C22×C4—112no—
992C22×C4—114no—
993C22×C4—114no—
994C22×C4—114no—
995C22×C4—114no—
996C22×C4—114no—
997C22×C4—114no—
998C22×C4—114no—
999C22×C4—118no—
1000C22×C4—114no—
1001C22×C4—114no—
1002C22×C4—112no—
1003C22×C4—112no—
1004C22×C4—112no—
1005C22×C4—224no—
1006C22×C4—222no—
1007C22×C4—224no—
1008C22×C4—224no—
1009C22×C4—222no—
1010C22×C4—224no—
1011C22×C4—222no—
1012C22×C4—222no—
1013C22×C4—2232no—
1014C22×C4—222no—
1015C22×C4—222no—
1016C22×C4—222no—
1017C22×C4—222no—
1018C22×C4—224no—
1019C22×C4—224no—
1020C22×C4—224no—
1021C22×C4—224no—
1022C22×C4—224no—
1023C22×C4—224no—
1024C22×C4—224no—
1025C22×C4—224no—
1026C22×C4—224no—
1027C22×C4—224no—
1028C22×C4—224no—
1029C22×C4—224no—
1030C22×C4—224no—
1031C22×C4—222no—
1032C22×C4—222no—
1033C22×C4—224no—
1034C22×C4—224no—
1035C22×C4—442no—
1036C22×C4—442no—
1037C22×C4—442no—
1038C22×C4—442no—
1039C22×C4—4416no—
1040C22×C4—4432no—
1041C22×C4—442no—
1042C22×C4—442no—
1043C22×C4C2×C4×D1114yescomplemented
1044C22×C4C2×C4×D1114yescomplemented
1045C22×C4C23×D1112yes—
1046C22×C4C23×D1112yes—
1047C22×C4C23×D1112yes—
1048C22×C4C23×D1111yescharacteristic
1049C22×C4C23×D1111yescharacteristic
1050C22×C4C23×D1111yescharacteristic
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1112yes—
1053C4⋊C4—24no—
1054C4⋊C4—42no—
1055C4⋊C4—224no—
1056C4⋊C4—224no—
1057C4⋊C4—224no—
1058C4⋊C4—442no—
1059C4⋊C4—442no—
1060C4⋊C4—442no—
1061C22⋊C4—22no—
1062C22⋊C4—22no—
1063C22⋊C4—24no—
1064C22⋊C4—22no—
1065C22⋊C4—24no—
1066C22⋊C4—42no—
1067C22⋊C4—114no—
1068C22⋊C4—114no—
1069C22⋊C4—114no—
1070C22⋊C4—114no—
1071C22⋊C4—114no—
1072C22⋊C4—114no—
1073C22⋊C4—114no—
1074C22⋊C4—114no—
1075C22⋊C4—114no—
1076C22⋊C4—114no—
1077C22⋊C4—114no—
1078C22⋊C4—114no—
1079C22⋊C4—114no—
1080C22⋊C4—118no—
1081C22⋊C4—224no—
1082C22⋊C4—224no—
1083C22⋊C4—224no—
1084C22⋊C4—224no—
1085C22⋊C4—224no—
1086C22⋊C4—224no—
1087C22⋊C4—224no—
1088C22⋊C4—222no—
1089C22⋊C4—222no—
1090C22⋊C4—224no—
1091C22⋊C4—222no—
1092C22⋊C4—224no—
1093C22⋊C4—442no—
1094C22⋊C4—442no—
1095C22⋊C4—442no—
1096C22⋊C4C2×C4×D1114yes—
1097C22⋊C4C2×C4×D1114yes—
1098C22⋊C4C2×C4×D1114yescomplemented
1099C22⋊C4C2×C4×D1114yescomplemented
1100C22⋊C4D4×D1114yes—
1101C42—24no—
1102C42—42no—
1103C42—224no—
1104C42—224no—
1105C42—224no—
1106C42—442no—
1107C42—442no—
1108C42—442no—
1109C11C2×#234211yescharacteristic, complemented, Sylow
1110C23—21no—
1111C23—22no—
1112C23—21no—
1113C23—22no—
1114C23—22no—
1115C23—28no—
1116C23—28no—
1117C23—21no—
1118C23—22no—
1119C23—21no—
1120C23—22no—
1121C23—44no—
1122C23—48no—
1123C23—48no—
1124C23—112no—
1125C23—112no—
1126C23—114no—
1127C23—112no—
1128C23—114no—
1129C23—1116no—
1130C23—1116no—
1131C23—112no—
1132C23—112no—
1133C23—112no—
1134C23—114no—
1135C23—112no—
1136C23—112no—
1137C23—228no—
1138C23—2216no—
1139C23—228no—
1140C23—228no—
1141C23—228no—
1142C23—2216no—
1143C23—2216no—
1144C23—2216no—
1145C23—228no—
1146C23—228no—
1147C23—228no—
1148C23—228no—
1149C23—228no—
1150C23—228no—
1151C23—228no—
1152C23—221no—
1153C23—222no—
1154C23—221no—
1155C23—222no—
1156C23—222no—
1157C23—228no—
1158C23—228no—
1159C23—221no—
1160C23—222no—
1161C23—221no—
1162C23—222no—
1163C23—444no—
1164C23—444no—
1165C23—444no—
1166C23—448no—
1167C23—448no—
1168C23—448no—
1169C23—448no—
1170C23—448no—
1171C23—448no—
1172C23—44128no—
1173C23—448no—
1174C23—448no—
1175C23C22×C4×D1112yes—
1176C23C22×C4×D1112yes—
1177C23C22×C4×D1112yes—
1178C23C2×D4×D1112yes—
1179C23#41×D1114yes—
1180C23#41×D1112yes—
1181C23C24×D1111yescharacteristic
1182C2×C4—28no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—22no—
1191C2×C4—22no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—22no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—44no—
1201C2×C4—48no—
1202C2×C4—112no—
1203C2×C4—112no—
1204C2×C4—112no—
1205C2×C4—112no—
1206C2×C4—114no—
1207C2×C4—228no—
1208C2×C4—228no—
1209C2×C4—228no—
1210C2×C4—228no—
1211C2×C4—228no—
1212C2×C4—228no—
1213C2×C4—2216no—
1214C2×C4—228no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
1219C2×C4—222no—
1220C2×C4—222no—
1221C2×C4—222no—
1222C2×C4—222no—
1223C2×C4—222no—
1224C2×C4—222no—
1225C2×C4—222no—
1226C2×C4—222no—
1227C2×C4—222no—
1228C2×C4—222no—
1229C2×C4—222no—
1230C2×C4—222no—
1231C2×C4—222no—
1232C2×C4—444no—
1233C2×C4—444no—
1234C2×C4—448no—
1235C2×C4—448no—
1236C2×C4—448no—
1237C2×C4—448no—
1238C2×C4—448no—
1239C2×C4—444no—
1240C2×C4—448no—
1241C2×C4C22×C4×D1112yes—
1242C2×C4C22×C4×D1112yes—
1243C2×C4C22×C4×D1112yes—
1244C2×C4C22×C4×D1112yes—
1245C2×C4C2×D4×D1114yes—
1246C22—22no—
1247C22—22no—
1248C22—22no—
1249C22—22no—
1250C22—24no—
1251C22—24no—
1252C22—24no—
1253C22—24no—
1254C22—22no—
1255C22—22no—
1256C22—22no—
1257C22—416no—
1258C22—42no—
1259C22—42no—
1260C22—114no—
1261C22—114no—
1262C22—114no—
1263C22—118no—
1264C22—118no—
1265C22—114no—
1266C22—114no—
1267C22—2232no—
1268C22—2232no—
1269C22—222no—
1270C22—222no—
1271C22—222no—
1272C22—222no—
1273C22—224no—
1274C22—224no—
1275C22—224no—
1276C22—224no—
1277C22—222no—
1278C22—222no—
1279C22—222no—
1280C22—4416no—
1281C22—4416no—
1282C22—4416no—
1283C22—4416no—
1284C22—442no—
1285C22—442no—
1286C22D11×#11714yescomplemented
1287C22C4×D4×D1114yes—
1288C22C23×C4×D1111yescharacteristic
1289C22C22×D4×D1111yescharacteristic
1290C22C2×#41×D1112yes—
1291C22C2×#41×D1111yescharacteristic
1292C22D11×H(5,𝔽2)12yes—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—24no—
1298C4—42no—
1299C4—42no—
1300C4—42no—
1301C4—222no—
1302C4—222no—
1303C4—222no—
1304C4—222no—
1305C4—224no—
1306C4—442no—
1307C4—442no—
1308C4—442no—
1309C2—24no—
1310C2—24no—
1311C2—42no—
1312C2—118no—
1313C2—224no—
1314C2—224no—
1315C2—442no—
1316C2C2×D11×#11711yescharacteristic
1317C2C2×C4×D4×D1111yescharacteristic
1318C2D11×#51811yescharacteristic
1319C2D11×#54612yes—
1320C2D11×#55112yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC25×D11C22
hypercenter#2342D11
hypocenterC11C2×#2342
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C2×D11×#117C2semidirect
4. #13071468C2semidirect
5. #13071467C2semidirect
6. #13071466C2semidirect
7. #13071465C2semidirect
8. #13071464C2semidirect
9. #13071463C2semidirect
10. #13071462C2semidirect
11. #13071461C2semidirect
12. #13071460C2semidirect
13. #13071459C2semidirect
14. #13071458C2semidirect
15. D11×#388C2semidirect
16. D11×#388C2semidirect
17. D11×#385C2semidirect
18. D11×#381C2semidirect
19. D11×#380C2semidirect
21. C4×C22⋊C4×D11C2semidirect
22. C4×C22⋊C4×D11C2semidirect
23. C11×#2342C2semidirect
28. C2×C11×#117C22semidirect
36. C2×#66979C22semidirect
38. C2×#66945C22semidirect
39. C2×C4⋊C4×D11C22semidirect
40. C2×C4⋊C4×D11C22semidirect
42. C2×C22⋊C4×D11C4semidirect
61. C2×#66930C22semidirect
62. C2×#66930C22semidirect
63. C2×#66925C22semidirect
64. C2×C42×D11C22semidirect
65. C2×C42×D11C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#385C22semidirect
69. C11×#381C22semidirect
70. C11×#380C22semidirect
72. C4×C11×C22⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
75. #10622825C22semidirect
76. #10622824C22semidirect
77. #10622823C22semidirect
78. C4×C22⋊Dic11C22semidirect
79. C4×C22⋊Dic11C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
82. #10622602C22semidirect
83. #10622602C22semidirect
84. #10622600C22semidirect
89. #10622564C22semidirect
90. #10622564C22semidirect
91. #10622563C22semidirect
92. #10622559C22semidirect
93. #10622558C22semidirect
94. #10622558C22semidirect
95. #10622557C22semidirect
96. #10622557C22semidirect
97. #10622556C22semidirect
98. #10622556C22semidirect
99. #10622555C22semidirect
100. #10622555C22semidirect
101. C22⋊C4×Dic11C22semidirect
102. C22⋊C4×Dic11C22semidirect
103. C22⋊C4×Dic11C22semidirect
104. C22⋊C4×Dic11C22semidirect
105. #10622553C22semidirect
106. #10622553C22semidirect
107. C4×(C2×D11)⋊C4C22semidirect
108. C4×(C2×D11)⋊C4C22semidirect
109. C4×(C2×D11)⋊C4C22semidirect
110. #10622283C22semidirect
111. #10622283C22semidirect
112. #10622282C22semidirect
113. #10622282C22semidirect
114. #10622281C22semidirect
115. #10622281C22semidirect
116. #10622280C22semidirect
117. #10622279C22semidirect
118. #10622279C22semidirect
119. #10622279C22semidirect
120. #10622277C22semidirect
121. #10622277C22semidirect
122. D11×#95C22semidirect
123. D11×#95C22semidirect
124. D11×#95C22semidirect
125. D11×#95C22semidirect
150. C22×C4×D11C2×C4semidirect
151. C22×C4×D11C2×C4semidirect
167. C2×C11×C4⋊C4C23semidirect
168. C2×C11×C4⋊C4C23semidirect
170. C2×C11×C22⋊C4C2×C4semidirect
182. C2×C42×C11C23semidirect
183. C2×C42×C11C23semidirect
185. C2×C22⋊Dic11C2×C4semidirect
198. C2×(C2×D11)⋊C4C2×C4semidirect
199. C2×(C2×D11)⋊C4C2×C4semidirect
219. C2×C4⋊Dic11C23semidirect
220. C2×C4⋊Dic11C23semidirect
221. C2×Dic11⋊C4C23semidirect
222. C2×Dic11⋊C4C23semidirect
223. C2×Dic11⋊C4C23semidirect
224. C2×Dic11⋊C4C23semidirect
225. C2×C4×Dic11C23semidirect
226. C2×C4×Dic11C23semidirect
227. C2×C4×Dic11C23semidirect
228. C2×C4×Dic11C23semidirect
229. C2×C4×Dic11C23semidirect
230. C2×C4×Dic11C23semidirect
245. C22⋊C4×D11C2×C4semidirect
246. C22⋊C4×D11C2×C4semidirect
247. C22⋊C4×D11C2×C4semidirect
248. C22⋊C4×D11C2×C4semidirect
249. C22⋊C4×D11C2×C4semidirect
250. C22⋊C4×D11C2×C4semidirect
257. C11×#95C23semidirect
258. C11×#95C23semidirect
259. C11×#95C23semidirect
260. C11×#95C23semidirect
261. C11⋊#95C23semidirect
262. C11⋊#95C23semidirect
263. C11⋊#95C23semidirect
264. C11⋊#95C23semidirect
265. C11⋊#95C23semidirect
266. C11⋊#95C23semidirect
267. C11⋊#95C23semidirect
268. C11⋊#95C23semidirect
269. C11⋊#95C23semidirect
270. C11⋊#95C23semidirect
271. C11⋊#95C23semidirect
272. C11⋊#95C23semidirect
327. C22×C4×C11C22×C4semidirect
328. C22×C4×C11C22×C4semidirect
343. C22×Dic11C22×C4semidirect
344. C22×Dic11C22×C4semidirect
389. C2×C4×D11C22×C4semidirect
390. C2×C4×D11C22×C4semidirect
391. C2×C4×D11C22×C4semidirect
392. C2×C4×D11C22×C4semidirect
404. C11×C22⋊C4C22×C4semidirect
405. C11×C22⋊C4C22×C4semidirect
417. C22⋊Dic11C22×C4semidirect
418. C22⋊Dic11C22×C4semidirect
433. (C2×D11)⋊C4C22×C4semidirect
434. (C2×D11)⋊C4C22×C4semidirect
435. (C2×D11)⋊C4C22×C4semidirect
436. (C2×D11)⋊C4C22×C4semidirect
464. #2342D11direct (N × H)
532. C22×D11#117semidirect
619. C2×#117C2×D11semidirect
665. #388C2×D11semidirect
666. #388C2×D11semidirect
674. #385C2×D11semidirect
680. #381C2×D11semidirect
686. #380C2×D11semidirect
705. C4×C22⋊C4C2×D11semidirect
706. C4×C22⋊C4C2×D11semidirect
725. C22×C11C2×#117semidirect
752. C2×D11C2×#117semidirect
828. C2×C4⋊C4C22×D11semidirect
829. C2×C4⋊C4C22×D11semidirect
883. C2×C22⋊C4C4×D11semidirect
903. C2×C42C22×D11semidirect
904. C2×C42C22×D11semidirect
917. #95C22×D11semidirect
918. #95C22×D11semidirect
919. #95C22×D11semidirect
920. #95C22×D11semidirect
932. D11#2342direct (N × H)
1043. C22×C4C2×C4×D11semidirect
1044. C22×C4C2×C4×D11semidirect
1098. C22⋊C4C2×C4×D11semidirect
1099. C22⋊C4C2×C4×D11semidirect
1109. C11C2×#2342semidirect
1286. C22D11×#117semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1172
C22×C22⋊C4×D112
#130714682
#130714672
#130714662
#130714652
#130714642
#130714632
#130714622
#130714612
#130714602
#130714592
#130714582
D11×#3882
D11×#3852
D11×#3812
D11×#3802
D11×#3792
C4×C22⋊C4×D112
C11×#23422
C2×#234211