Finite Group Databasebeta

← #14926491

Subgroups — #14926491

Order 2816.

4346 conjugacy classes of subgroups.

The subgroup lattice has 1386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#120C211yesmaximal, characteristic
2C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076909C211yesmaximal, characteristic, complemented
5#13076907C211yesmaximal, characteristic, complemented
6#13076905C211yesmaximal, characteristic, complemented
7#13074390C212yesmaximal, complemented
8#13074388C212yesmaximal, complemented
9#13072896C211yesmaximal, characteristic, complemented
10#13072895C211yesmaximal, characteristic, complemented
11#13072893C212yesmaximal, complemented
12#13072013C211yesmaximal, characteristic, complemented
13#13072012C211yesmaximal, characteristic, complemented
14#13072011C212yesmaximal, complemented
15#13072009C212yesmaximal, complemented
16#13072006C211yesmaximal, characteristic, complemented
17#13071942C211yesmaximal, characteristic, complemented
18#13071940C211yesmaximal, characteristic, complemented
19#13071938C212yesmaximal, complemented
20#13071229C212yesmaximal, complemented
21#13071190C212yesmaximal, complemented
22C2×#10622568C211yesmaximal, characteristic, complemented
23C11×#2412C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C22×D4×D11C2211yescharacteristic
26C22×D4×D11C2211yescharacteristic
27C22×D4×D11C2211yescharacteristic
28C23×C4×D11C2211yescharacteristic, complemented
29C23×C4×D11C2211yescharacteristic, complemented
30C2×C11×#123C2211yescharacteristic, complemented
31C2×C11×#120C2211yescharacteristic
32C22×C11×C22⋊C4C2211yescharacteristic, complemented
33C22×C11×C22⋊C4C2211yescharacteristic, complemented
34C2×#67006C2211yescharacteristic
35C22×C22⋊Dic11C2211yescharacteristic, complemented
36C22×C22⋊Dic11C2211yescharacteristic, complemented
37C2×#66990C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66988C2211yescharacteristic, complemented
41C2×#66982C2211yescharacteristic, complemented
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2212yes—
45C22×(C2×D11)⋊C4C2212yescomplemented
46D11×#120—28no—
47C2×#66947C2212yescomplemented
48C2×#66939C2211yescharacteristic, complemented
49C2×#66936C2212yescomplemented
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×C22⋊C4×D11—28no—
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2212yes—
56C2×C22⋊C4×D11C2212yes—
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2212yescomplemented
60C2×C22⋊C4×D11C2212yescomplemented
61C11×#397C2212yescomplemented
62C11×#394C2212yescomplemented
63C11×#386C2211yescharacteristic, complemented
64C11×#386C2212yescomplemented
65C11×#385C2211yescharacteristic, complemented
66C11×#381C2211yescharacteristic, complemented
67C11×#380C2212yescomplemented
68#10622835C2212yescomplemented
69#10622833C2211yescharacteristic, complemented
70#10622833C2212yescomplemented
71#10622826C2211yescharacteristic, complemented
72#10622826C2212yescomplemented
73#10622825C2212yescomplemented
74#10622824C2211yescharacteristic, complemented
75#10622823C2211yescharacteristic, complemented
76#10622606C2212yescomplemented
77#10622604C2212yescomplemented
78#10622602C2212yescomplemented
79#10622602C2212yescomplemented
80#10622602C2212yescomplemented
81#10622602C2212yescomplemented
82#10622602C2212yescomplemented
83#10622574C2212yescomplemented
84#10622574C2212yescomplemented
85#10622572C2212yescomplemented
86#10622572C2212yescomplemented
87#10622571C2211yescharacteristic, complemented
88#10622571C2212yescomplemented
89#10622569C2212yescomplemented
90#10622569C2212yescomplemented
91#10622569C2212yescomplemented
92#10622568C2211yescharacteristic
93#10622568C2212yes—
94#10622568C2211yescharacteristic
95#10622568C2211yescharacteristic, complemented
96#10622568C2211yescharacteristic, complemented
97#10622568C2212yescomplemented
98#10622568C2212yescomplemented
99#10622568C2212yescomplemented
100#10622566C2212yescomplemented
101#10622565C2212yescomplemented
102#10622565C2212yescomplemented
103#10622563C2211yescharacteristic, complemented
104#10622559C2211yescharacteristic, complemented
105#10622556C2211yescharacteristic, complemented
106#10622556C2211yescharacteristic, complemented
107#10622555C2212yescomplemented
108#10622555C2212yescomplemented
109#10622288C2212yescomplemented
110#10622288C2212yescomplemented
111#10622287C2212yescomplemented
112#10622285C2212yescomplemented
113#10622281C2212yescomplemented
114#10622281C2212yescomplemented
115#10622281C2212yescomplemented
116#10622281C2212yescomplemented
117#10622281C2212yescomplemented
118#10622278C2212yescomplemented
119#10622278C2212yescomplemented
120#10622278C2212yescomplemented
121#10622277C2212yescomplemented
122#10622277C2212yescomplemented
123#10622277C2212yescomplemented
124#10622277C2212yescomplemented
125C25×C11C2311yescharacteristic
126C24×D11—28no—
127C24×D11—44no—
128C24×D11—42no—
129C24×D11—42no—
130C24×D11D418yes—
131C24×D11C2311yescharacteristic
132C24×D11C2311yescharacteristic
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C24×D11C2311yescharacteristic
136C24×D11C2311yescharacteristic
137C24×D11C2311yescharacteristic
138C22×D4×C11C2311yescharacteristic
139C22×D4×C11C2311yescharacteristic
140C22×D4×C11C2311yescharacteristic
141C23×C4×C11C2311yescharacteristic
142C23×C4×C11C2312yes—
143C23×C4×C11C2311yescharacteristic
144C22×C22⋊D11C2311yescharacteristic
145C22×C22⋊D11C2311yescharacteristic
146C22×C22⋊D11C2311yescharacteristic
147C22×C22⋊D11C2311yescharacteristic
148C22×C22⋊D11C2311yescharacteristic
149C22×C22⋊D11C2311yescharacteristic
150C23×Dic11C2311yescharacteristic
151C23×Dic11C2312yes—
152C23×Dic11C2311yescharacteristic
153C2×D4×D11—24no—
154C2×D4×D11—24no—
155C2×D4×D11—24no—
156C2×D4×D11—28no—
157C2×D4×D11—44no—
158C2×D4×D11—42no—
159C2×D4×D11—42no—
160C22×D44C2311yescharacteristic
161C22×D44C2311yescharacteristic
162C22×D44C2311yescharacteristic
163C22×C4×D11—24no—
164C22×C4×D11—24no—
165C22×C4×D11—44no—
166C22×C4×D11—42no—
167C22×C4×D11—42no—
168C22×C4×D11C2311yescharacteristic
169C22×C4×D11C2312yes—
170C22×C4×D11C2311yescharacteristic
171C22×C4×D11C2311yescharacteristic
172C22×C4×D11C2312yes—
173C22×C4×D11C2312yes—
174C22×C4×D11C2312yes—
175C11×#123—42no—
176C11×#120—24no—
177C2×C11×C4⋊C4C2312yescomplemented
178C2×C11×C4⋊C4C2312yescomplemented
179C2×C11×C22⋊C4—24no—
180C2×C11×C22⋊C4—42no—
181C2×C11×C22⋊C4C2312yes—
182C2×C11×C22⋊C4C2312yes—
183C2×C11×C22⋊C4C2311yescharacteristic
184C2×C11×C22⋊C4C2311yescharacteristic
185C2×C11×C22⋊C4C2311yescharacteristic
186C2×C11×C22⋊C4C2311yescharacteristic
187C2×C11×C22⋊C4C2311yescharacteristic
188C2×C11×C22⋊C4C2312yes—
189C2×C11×C22⋊C4C2312yescomplemented
190C2×C11×C22⋊C4C2312yescomplemented
191#67006—24no—
192C2×C22⋊Dic11—24no—
193C2×C22⋊Dic11—42no—
194C2×C22⋊Dic11C2312yes—
195C2×C22⋊Dic11C2312yes—
196C2×C22⋊Dic11C2311yescharacteristic
197C2×C22⋊Dic11C2311yescharacteristic
198C2×C22⋊Dic11C2311yescharacteristic
199C2×C22⋊Dic11C2311yescharacteristic
200C2×C22⋊Dic11C2311yescharacteristic
201C2×C22⋊Dic11C2312yes—
202C2×C22⋊Dic11C2312yescomplemented
203C2×C22⋊Dic11C2312yescomplemented
204#66990—24no—
205#66990—24no—
206#66990—24no—
207#66988—42no—
208#66982—42no—
209C2×(C2×D11)⋊C4—24no—
210C2×(C2×D11)⋊C4—24no—
211C2×(C2×D11)⋊C4—28no—
212C2×(C2×D11)⋊C4—44no—
213C2×(C2×D11)⋊C4C2312yes—
214C2×(C2×D11)⋊C4C2312yes—
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2312yes—
222C2×(C2×D11)⋊C4C2312yes—
223C2×(C2×D11)⋊C4C2312yes—
224C2×(C2×D11)⋊C4C2312yes—
225C2×(C2×D11)⋊C4C2312yes—
226C2×(C2×D11)⋊C4C2312yes—
227C2×(C2×D11)⋊C4C2312yes—
228C2×(C2×D11)⋊C4C2312yes—
229C2×(C2×D11)⋊C4C2312yes—
230C2×(C2×D11)⋊C4C2312yes—
231C2×(C2×D11)⋊C4C2312yescomplemented
232C2×(C2×D11)⋊C4C2312yescomplemented
233C2×(C2×D11)⋊C4C2312yescomplemented
234C2×(C2×D11)⋊C4C2312yescomplemented
235C2×C4⋊Dic11C2312yescomplemented
236C2×C4⋊Dic11C2312yescomplemented
237C2×Dic11⋊C4C2312yescomplemented
238C2×Dic11⋊C4C2312yescomplemented
239C2×Dic11⋊C4C2312yescomplemented
240C2×Dic11⋊C4C2312yescomplemented
241#66947—44no—
242#66939—42no—
243#66936—44no—
244#66935—24no—
245#66935—24no—
246#66935—24no—
247C22⋊C4×D11—28no—
248C22⋊C4×D11—28no—
249C22⋊C4×D11—28no—
250C22⋊C4×D11—28no—
251C22⋊C4×D11—24no—
252C22⋊C4×D11—24no—
253C22⋊C4×D11—24no—
254C11×#95C2312yescomplemented
255C11×#95C2312yescomplemented
256C11×#95C2312yescomplemented
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
270#34992—111nomaximal, Sylow
271C24×C11—24no—
272C24×C11—22no—
273C24×C11—22no—
274C24×C11—42no—
275C24×C11C2×D414yes—
276C24×C11C2411yescharacteristic
277C24×C11C2411yescharacteristic
278C24×C11C2411yescharacteristic
279C24×C11C2411yescharacteristic
280C23×D11—22no—
281C23×D11—22no—
282C23×D11—24no—
283C23×D11—24no—
284C23×D11—24no—
285C23×D11—22no—
286C23×D11—22no—
287C23×D11—232no—
288C23×D11—24no—
289C23×D11—24no—
290C23×D11—24no—
291C23×D11—24no—
292C23×D11—24no—
293C23×D11—22no—
294C23×D11—24no—
295C23×D11—416no—
296C23×D11—416no—
297C23×D11—41no—
298C23×D11—42no—
299C23×D11—41no—
300C23×D11—41no—
301C23×D11—41no—
302C23×D11—42no—
303C23×D11—41no—
304C23×D11—41no—
305C23×D11—41no—
306C23×D11—41no—
307C23×D11—42no—
308C23×D11—42no—
309C23×D11—41no—
310C23×D11—41no—
311C23×D11—432no—
312C23×D11—432no—
313C23×D11C2×D414yes—
314C23×D11C2×D414yes—
315C23×D11C2×D414yes—
316C23×D11C2×D414yes—
317C23×D11C2×D414yes—
318C23×D11C2×D414yes—
319C23×D11#4118yes—
320C23×D11C2411yescharacteristic
321C23×D11C2411yescharacteristic
322C23×D11C2411yescharacteristic
323C23×D11C2411yescharacteristic
324C23×D11C2411yescharacteristic
325C2×D4×C11—22no—
326C2×D4×C11—22no—
327C2×D4×C11—22no—
328C2×D4×C11—24no—
329C2×D4×C11—22no—
330C2×D4×C11—22no—
331C2×D4×C11—42no—
332C22×C4×C11—22no—
333C22×C4×C11—22no—
334C22×C4×C11—22no—
335C22×C4×C11—22no—
336C22×C4×C11—24no—
337C22×C4×C11—42no—
338C22×C4×C11—42no—
339C22×C4×C11—42no—
340C22×C4×C11C2411yescharacteristic
341C22×C4×C11C2412yes—
342C22×C4×C11C2411yescharacteristic
343C22×C4×C11C2411yescharacteristic
344C22×C4×C11C2412yes—
345C22×C4×C11C2412yes—
346C22×C4×C11C2412yes—
347C2×C22⋊D11—22no—
348C2×C22⋊D11—22no—
349C2×C22⋊D11—22no—
350C2×C22⋊D11—24no—
351C2×C22⋊D11—22no—
352C2×C22⋊D11—22no—
353C2×C22⋊D11—22no—
354C2×C22⋊D11—22no—
355C2×C22⋊D11—22no—
356C2×C22⋊D11—24no—
357C2×C22⋊D11—24no—
358C2×C22⋊D11—41no—
359C2×C22⋊D11—41no—
360C2×C22⋊D11—42no—
361C22×Dic11—22no—
362C22×Dic11—22no—
363C22×Dic11—24no—
364C22×Dic11—22no—
365C22×Dic11—22no—
366C22×Dic11—42no—
367C22×Dic11—42no—
368C22×Dic11—42no—
369C22×Dic11C2411yescharacteristic
370C22×Dic11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2412yes—
373C22×Dic11C2412yes—
374C22×Dic11C2412yes—
375C22×Dic11C2412yes—
376D4×D11—416no—
377D4×D11—416no—
378D4×D11—416no—
379C2×D44—22no—
380C2×D44—22no—
381C2×D44—22no—
382C2×D44—24no—
383C2×D44—24no—
384C2×D44—41no—
385C2×D44—41no—
386C2×C4×D11—24no—
387C2×C4×D11—24no—
388C2×C4×D11—24no—
389C2×C4×D11—24no—
390C2×C4×D11—22no—
391C2×C4×D11—22no—
392C2×C4×D11—22no—
393C2×C4×D11—24no—
394C2×C4×D11—24no—
395C2×C4×D11—24no—
396C2×C4×D11—42no—
397C2×C4×D11—42no—
398C2×C4×D11—42no—
399C2×C4×D11—42no—
400C2×C4×D11—42no—
401C2×C4×D11—42no—
402C2×C4×D11—41no—
403C2×C4×D11—42no—
404C2×C4×D11—41no—
405C2×C4×D11—416no—
406C2×C4×D11—416no—
407C11×C4⋊C4—42no—
408C11×C4⋊C4—42no—
409C11×C22⋊C4—24no—
410C11×C22⋊C4—24no—
411C11×C22⋊C4—22no—
412C11×C22⋊C4—22no—
413C11×C22⋊C4—22no—
414C11×C22⋊C4—22no—
415C11×C22⋊C4—22no—
416C11×C22⋊C4—42no—
417C11×C22⋊C4—42no—
418C11×C22⋊C4—42no—
419C22⋊Dic11—24no—
420C22⋊Dic11—24no—
421C22⋊Dic11—22no—
422C22⋊Dic11—22no—
423C22⋊Dic11—22no—
424C22⋊Dic11—22no—
425C22⋊Dic11—22no—
426C22⋊Dic11—42no—
427C22⋊Dic11—42no—
428C22⋊Dic11—42no—
429(C2×D11)⋊C4—24no—
430(C2×D11)⋊C4—24no—
431(C2×D11)⋊C4—24no—
432(C2×D11)⋊C4—24no—
433(C2×D11)⋊C4—22no—
434(C2×D11)⋊C4—22no—
435(C2×D11)⋊C4—22no—
436(C2×D11)⋊C4—22no—
437(C2×D11)⋊C4—22no—
438(C2×D11)⋊C4—22no—
439(C2×D11)⋊C4—24no—
440(C2×D11)⋊C4—24no—
441(C2×D11)⋊C4—24no—
442(C2×D11)⋊C4—24no—
443(C2×D11)⋊C4—24no—
444(C2×D11)⋊C4—24no—
445(C2×D11)⋊C4—42no—
446(C2×D11)⋊C4—42no—
447(C2×D11)⋊C4—42no—
448(C2×D11)⋊C4—42no—
449(C2×D11)⋊C4—42no—
450(C2×D11)⋊C4—42no—
451C4⋊Dic11—42no—
452C4⋊Dic11—42no—
453Dic11⋊C4—42no—
454Dic11⋊C4—42no—
455Dic11⋊C4—42no—
456Dic11⋊C4—42no—
457C22×#120—111no—
458C23×C22⋊C4—111no—
459#2849—111no—
460#2849—111no—
461#2849—111no—
462#2849—111no—
463#2622—112no—
464#2622—112no—
465#2483—112no—
466#2483—111no—
467#2483—111no—
468#2412—112no—
469#2412—112no—
470#2412—111no—
471#2412—111no—
472#2412—111no—
473#2412D1111yescharacteristic, complemented
474#2405—112no—
475#2405—111no—
476#2405—111no—
477#2315—112no—
478#2308—112no—
479C2×#379—111no—
480C23×C11—22no—
481C23×C11—21no—
482C23×C11—22no—
483C23×C11—22no—
484C23×C11—21no—
485C23×C11—28no—
486C23×C11—28no—
487C23×C11—22no—
488C23×C11—21no—
489C23×C11—21no—
490C23×C11—22no—
491C23×C11—21no—
492C23×C11—22no—
493C23×C11—21no—
494C23×C11—22no—
495C23×C11—21no—
496C23×C11—44no—
497C23×C11—48no—
498C23×C11—48no—
499C23×C11C22×D412yes—
500C23×C11C22×D412yes—
501C23×C11C22×D412yes—
502C23×C11C2×#4114yes—
503C23×C11H(5,𝔽2)12yes—
504C23×C11H(5,𝔽2)12yes—
505C23×C11C2511yescharacteristic
506C22×D11—216no—
507C22×D11—216no—
508C22×D11—28no—
509C22×D11—22no—
510C22×D11—21no—
511C22×D11—21no—
512C22×D11—21no—
513C22×D11—21no—
514C22×D11—22no—
515C22×D11—21no—
516C22×D11—21no—
517C22×D11—22no—
518C22×D11—28no—
519C22×D11—28no—
520C22×D11—28no—
521C22×D11—28no—
522C22×D11—22no—
523C22×D11—22no—
524C22×D11—21no—
525C22×D11—21no—
526C22×D11—28no—
527C22×D11—28no—
528C22×D11—28no—
529C22×D11—28no—
530C22×D11—28no—
531C22×D11—21no—
532C22×D11—22no—
533C22×D11—22no—
534C22×D11—21no—
535C22×D11—21no—
536C22×D11—44no—
537C22×D11—44no—
538C22×D11—44no—
539C22×D11—44no—
540C22×D11—44no—
541C22×D11—44no—
542C22×D11—44no—
543C22×D11—48no—
544C22×D11—48no—
545C22×D11—48no—
546C22×D11—48no—
547C22×D11—48no—
548C22×D11—48no—
549C22×D11—48no—
550C22×D11—48no—
551C22×D11—4128no—
552C22×D11—48no—
553C22×D11—48no—
554C22×D11—44no—
555C22×D11—44no—
556C22×D11—44no—
557C22×D11—84no—
558C22×D11—84no—
559C22×D11#123116yescomplemented
560C22×D11C22×D412yes—
561C22×D11C22×D412yes—
562C22×D11C22×D412yes—
563C22×D11C22×D412yes—
564C22×D11C2×#4114yes—
565C22×D11C2×#4114yes—
566C22×D11H(5,𝔽2)14yes—
567D4×C11—44no—
568D4×C11—44no—
569D4×C11—44no—
570C2×C4×C11—22no—
571C2×C4×C11—22no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—22no—
576C2×C4×C11—22no—
577C2×C4×C11—22no—
578C2×C4×C11—21no—
579C2×C4×C11—22no—
580C2×C4×C11—22no—
581C2×C4×C11—22no—
582C2×C4×C11—22no—
583C2×C4×C11—22no—
584C2×C4×C11—22no—
585C2×C4×C11—22no—
586C2×C4×C11—22no—
587C2×C4×C11—22no—
588C2×C4×C11—21no—
589C2×C4×C11—44no—
590C2×C4×C11—44no—
591C2×C4×C11—84no—
592C22⋊D11—44no—
593C22⋊D11—44no—
594C22⋊D11—44no—
595C22⋊D11—44no—
596C22⋊D11—44no—
597C22⋊D11—44no—
598C2×Dic11—22no—
599C2×Dic11—22no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—22no—
604C2×Dic11—22no—
605C2×Dic11—22no—
606C2×Dic11—21no—
607C2×Dic11—22no—
608C2×Dic11—22no—
609C2×Dic11—22no—
610C2×Dic11—22no—
611C2×Dic11—22no—
612C2×Dic11—22no—
613C2×Dic11—22no—
614C2×Dic11—21no—
615C2×Dic11—22no—
616C2×Dic11—22no—
617C2×Dic11—44no—
618C2×Dic11—44no—
619C2×Dic11—84no—
620D44—44no—
621D44—44no—
622D44—44no—
623C4×D11—48no—
624C4×D11—48no—
625C4×D11—48no—
626C4×D11—44no—
627C4×D11—44no—
628C4×D11—44no—
629C4×D11—48no—
630C26—111no—
631C23×D4—111no—
632C23×D4—111no—
633C23×D4—111no—
634C24×C4—111no—
635C24×C4—111no—
636C2×#123—111no—
637C2×#123—111no—
638C2×#123—112no—
639C2×#123—111no—
640C2×#123—112no—
641C2×#123C2×D1111yescharacteristic, complemented
642C2×#120—111no—
643C2×#120—111no—
644C2×#120—111no—
645C2×#120—111no—
646C2×#120—111no—
647C2×#120—111no—
648C2×#120—111no—
649C2×#120—228no—
650C2×#120C2×D1111yescharacteristic
651C22×C22⋊C4—111no—
652C22×C22⋊C4—112no—
653C22×C22⋊C4—111no—
654C22×C22⋊C4—111no—
655C22×C22⋊C4—111no—
656C22×C22⋊C4—112no—
657C22×C22⋊C4—112no—
658C22×C22⋊C4—111no—
659C22×C22⋊C4—112no—
660C22×C22⋊C4—111no—
661C22×C22⋊C4—111no—
662C22×C22⋊C4—112no—
663C22×C22⋊C4—112no—
664C22×C22⋊C4—228no—
665C22×C22⋊C4C2×D1111yescharacteristic, complemented
666C22×C22⋊C4C2×D1111yescharacteristic, complemented
667#397—112no—
668#397—112no—
669#397—112no—
670#397—112no—
671#397—112no—
672#397—112no—
673#397—112no—
674#397C2×D1112yescomplemented
675#394—112no—
676#394—112no—
677#394—112no—
678#394—112no—
679#394—112no—
680#394—112no—
681#394—112no—
682#394C2×D1112yescomplemented
683#386—112no—
684#386—111no—
685#386—112no—
686#386—111no—
687#386—112no—
688#386—111no—
689#386—112no—
690#386—112no—
691#386—112no—
692#386—112no—
693#386—112no—
694#386—112no—
695#386C2×D1112yescomplemented
696#386C2×D1111yescharacteristic, complemented
697#385—111no—
698#385—112no—
699#385—112no—
700#385—112no—
701#385—112no—
702#385—112no—
703#385—111no—
704#385—111no—
705#385—112no—
706#385—112no—
707#385—112no—
708#385—112no—
709#385—112no—
710#385C2×D1111yescharacteristic, complemented
711#381—111no—
712#381—111no—
713#381—111no—
714#381—112no—
715#381—112no—
716#381—112no—
717#381—112no—
718#381C2×D1111yescharacteristic, complemented
719#380—112no—
720#380—112no—
721#380—112no—
722#380C2×D1112yescomplemented
723#379—111no—
724#379—111no—
725#379—112no—
726#379—111no—
727#379—111no—
728#379—112no—
729#379—112no—
730#379—112no—
731C22×C11—22no—
732C22×C11—22no—
733C22×C11—22no—
734C22×C11—22no—
735C22×C11—24no—
736C22×C11—24no—
737C22×C11—24no—
738C22×C11—24no—
739C22×C11—22no—
740C22×C11—22no—
741C22×C11—22no—
742C22×C11—416no—
743C22×C11—42no—
744C22×C11—42no—
745C22×C11—41no—
746C22×C11—41no—
747C22×C11—41no—
748C22×C11—42no—
749C22×C11—42no—
750C22×C11C2×#12314yes—
751C22×C11#53414yes—
752C22×C11C23×D411yescharacteristic
753C22×C11C22×#4112yes—
754C22×C11C2×H(5,𝔽2)11yescharacteristic
755C22×C11C2×H(5,𝔽2)11yescharacteristic
756C22×C11C2×H(5,𝔽2)12yes—
757C2×D11—232no—
758C2×D11—22no—
759C2×D11—22no—
760C2×D11—22no—
761C2×D11—22no—
762C2×D11—22no—
763C2×D11—22no—
764C2×D11—24no—
765C2×D11—24no—
766C2×D11—24no—
767C2×D11—24no—
768C2×D11—24no—
769C2×D11—24no—
770C2×D11—22no—
771C2×D11—22no—
772C2×D11—22no—
773C2×D11—416no—
774C2×D11—416no—
775C2×D11—416no—
776C2×D11—416no—
777C2×D11—416no—
778C2×D11—42no—
779C2×D11—42no—
780C2×D11—41no—
781C2×D11—41no—
782C2×D11—41no—
783C2×D11—42no—
784C2×D11—42no—
785C2×D11—88no—
786C2×D11C2×#12314yes—
787C2×D11C2×#12314yes—
788C2×D11#53414yes—
789C4×C11—41no—
790C4×C11—42no—
791C4×C11—42no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—42no—
795C4×C11—42no—
796Dic11—41no—
797Dic11—42no—
798Dic11—42no—
799Dic11—41no—
800Dic11—41no—
801Dic11—42no—
802Dic11—42no—
803C25—111no—
804C25—111no—
805C25—111no—
806C25—111no—
807C25—111no—
808C25—118no—
809C25—111no—
810C25—111no—
811C25—228no—
812C25—442no—
813C25—442no—
814C25—444no—
815C25C22×D1111yescharacteristic
816C22×D4—111no—
817C22×D4—111no—
818C22×D4—111no—
819C22×D4—111no—
820C22×D4—111no—
821C22×D4—111no—
822C22×D4—111no—
823C22×D4—111no—
824C22×D4—111no—
825C22×D4—224no—
826C22×D4—224no—
827C22×D4—224no—
828C22×D4—228no—
829C22×D4—442no—
830C22×D4—442no—
831C22×D4—444no—
832C22×D4C22×D1111yescharacteristic
833C22×D4C22×D1111yescharacteristic
834C22×D4C22×D1111yescharacteristic
835C23×C4—111no—
836C23×C4—112no—
837C23×C4—111no—
838C23×C4—112no—
839C23×C4—111no—
840C23×C4—112no—
841C23×C4—112no—
842C23×C4—112no—
843C23×C4—111no—
844C23×C4—111no—
845C23×C4—224no—
846C23×C4—224no—
847C23×C4—442no—
848C23×C4—442no—
849C23×C4—444no—
850C23×C4C22×D1111yescharacteristic
851C23×C4C22×D1112yes—
852C23×C4C22×D1111yescharacteristic
853#123—42no—
854#123—442no—
855#123—444no—
856#123—444no—
857#123—442no—
858#123—442no—
859#120—24no—
860#120—224no—
861#120—224no—
862#120—224no—
863#120—224no—
864#120—224no—
865#120—224no—
866#120—224no—
867C2×C4⋊C4—112no—
868C2×C4⋊C4—112no—
869C2×C4⋊C4—112no—
870C2×C4⋊C4—112no—
871C2×C4⋊C4—112no—
872C2×C4⋊C4—112no—
873C2×C4⋊C4C22×D1112yescomplemented
874C2×C4⋊C4C22×D1112yescomplemented
875C2×C22⋊C4—24no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—112no—
878C2×C22⋊C4—112no—
879C2×C22⋊C4—111no—
880C2×C22⋊C4—111no—
881C2×C22⋊C4—111no—
882C2×C22⋊C4—111no—
883C2×C22⋊C4—111no—
884C2×C22⋊C4—112no—
885C2×C22⋊C4—112no—
886C2×C22⋊C4—112no—
887C2×C22⋊C4—112no—
888C2×C22⋊C4—111no—
889C2×C22⋊C4—111no—
890C2×C22⋊C4—111no—
891C2×C22⋊C4—111no—
892C2×C22⋊C4—111no—
893C2×C22⋊C4—111no—
894C2×C22⋊C4—112no—
895C2×C22⋊C4—112no—
896C2×C22⋊C4—112no—
897C2×C22⋊C4—112no—
898C2×C22⋊C4—112no—
899C2×C22⋊C4—112no—
900C2×C22⋊C4—112no—
901C2×C22⋊C4—112no—
902C2×C22⋊C4—112no—
903C2×C22⋊C4—112no—
904C2×C22⋊C4—112no—
905C2×C22⋊C4—112no—
906C2×C22⋊C4—112no—
907C2×C22⋊C4—112no—
908C2×C22⋊C4—112no—
909C2×C22⋊C4—228no—
910C2×C22⋊C4—228no—
911C2×C22⋊C4—228no—
912C2×C22⋊C4—228no—
913C2×C22⋊C4—224no—
914C2×C22⋊C4—224no—
915C2×C22⋊C4—224no—
916C2×C22⋊C4—224no—
917C2×C22⋊C4—224no—
918C2×C22⋊C4—228no—
919C2×C22⋊C4—224no—
920C2×C22⋊C4—444no—
921C2×C22⋊C4—442no—
922C2×C22⋊C4C22×D1112yes—
923C2×C22⋊C4C22×D1112yes—
924C2×C22⋊C4C22×D1111yescharacteristic
925C2×C22⋊C4C22×D1111yescharacteristic
926C2×C22⋊C4C22×D1111yescharacteristic
927C2×C22⋊C4C22×D1111yescharacteristic
928C2×C22⋊C4C22×D1111yescharacteristic
929C2×C22⋊C4C22×D1112yes—
930C2×C22⋊C4C22×D1112yescomplemented
931C2×C22⋊C4C22×D1112yescomplemented
932#95—112no—
933#95—112no—
934#95—112no—
935#95—112no—
936#95—112no—
937#95—112no—
938#95—112no—
939#95—112no—
940#95—112no—
941#95—112no—
942#95—112no—
943#95—112no—
944#95C22×D1112yescomplemented
945#95C22×D1112yescomplemented
946#95C22×D1112yescomplemented
947#95C22×D1112yescomplemented
948C2×C11—24no—
949C2×C11—24no—
950C2×C11—42no—
951C2×C11—81no—
952C2×C11C22×#12311yescharacteristic
953C2×C11C2×#53411yescharacteristic
954C2×C11C2×#53411yescharacteristic
955C2×C11#349012yes—
956C2×C11#349012yes—
957D11—24no—
958D11—24no—
959D11—24no—
960D11—42no—
961D11—81no—
962C24—22no—
963C24—24no—
964C24—22no—
965C24—42no—
966C24—111no—
967C24—111no—
968C24—111no—
969C24—114no—
970C24—118no—
971C24—114no—
972C24—111no—
973C24—114no—
974C24—114no—
975C24—114no—
976C24—114no—
977C24—111no—
978C24—224no—
979C24—224no—
980C24—224no—
981C24—224no—
982C24—224no—
983C24—2232no—
984C24—224no—
985C24—224no—
986C24—222no—
987C24—224no—
988C24—222no—
989C24—222no—
990C24—222no—
991C24—224no—
992C24—222no—
993C24—441no—
994C24—441no—
995C24—441no—
996C24—441no—
997C24—442no—
998C24—442no—
999C24—4416no—
1000C24—441no—
1001C24—441no—
1002C24—441no—
1003C24—441no—
1004C24—442no—
1005C24—441no—
1006C24—441no—
1007C24—442no—
1008C24—4416no—
1009C24—4432no—
1010C24—4432no—
1011C24D4×D1114yes—
1012C24C23×D1111yescharacteristic
1013C24C23×D1111yescharacteristic
1014C24C23×D1111yescharacteristic
1015C24C23×D1111yescharacteristic
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—24no—
1021C2×D4—22no—
1022C2×D4—42no—
1023C2×D4—222no—
1024C2×D4—222no—
1025C2×D4—222no—
1026C2×D4—224no—
1027C2×D4—224no—
1028C2×D4—222no—
1029C2×D4—222no—
1030C2×D4—222no—
1031C2×D4—224no—
1032C2×D4—224no—
1033C2×D4—222no—
1034C2×D4—222no—
1035C2×D4—222no—
1036C2×D4—222no—
1037C2×D4—224no—
1038C2×D4—222no—
1039C2×D4—441no—
1040C2×D4—441no—
1041C2×D4—441no—
1042C2×D4—441no—
1043C2×D4—442no—
1044C2×D4—4416no—
1045C2×D4—4416no—
1046C2×D4—4416no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—24no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—111no—
1056C22×C4—112no—
1057C22×C4—112no—
1058C22×C4—112no—
1059C22×C4—112no—
1060C22×C4—111no—
1061C22×C4—111no—
1062C22×C4—224no—
1063C22×C4—224no—
1064C22×C4—224no—
1065C22×C4—224no—
1066C22×C4—222no—
1067C22×C4—222no—
1068C22×C4—222no—
1069C22×C4—224no—
1070C22×C4—224no—
1071C22×C4—224no—
1072C22×C4—222no—
1073C22×C4—222no—
1074C22×C4—222no—
1075C22×C4—222no—
1076C22×C4—224no—
1077C22×C4—442no—
1078C22×C4—442no—
1079C22×C4—442no—
1080C22×C4—442no—
1081C22×C4—442no—
1082C22×C4—442no—
1083C22×C4—441no—
1084C22×C4—441no—
1085C22×C4—442no—
1086C22×C4—4416no—
1087C22×C4—4416no—
1088C22×C4—442no—
1089C22×C4—442no—
1090C22×C4—442no—
1091C22×C4C23×D1111yescharacteristic
1092C22×C4C23×D1112yes—
1093C22×C4C23×D1112yes—
1094C22×C4C23×D1112yes—
1095C22×C4C23×D1111yescharacteristic
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1112yes—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—442no—
1101C4⋊C4—442no—
1102C4⋊C4—442no—
1103C4⋊C4—442no—
1104C4⋊C4—442no—
1105C4⋊C4—442no—
1106C22⋊C4—24no—
1107C22⋊C4—24no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—224no—
1117C22⋊C4—224no—
1118C22⋊C4—224no—
1119C22⋊C4—224no—
1120C22⋊C4—222no—
1121C22⋊C4—222no—
1122C22⋊C4—222no—
1123C22⋊C4—222no—
1124C22⋊C4—222no—
1125C22⋊C4—222no—
1126C22⋊C4—224no—
1127C22⋊C4—224no—
1128C22⋊C4—224no—
1129C22⋊C4—224no—
1130C22⋊C4—224no—
1131C22⋊C4—224no—
1132C22⋊C4—224no—
1133C22⋊C4—224no—
1134C22⋊C4—222no—
1135C22⋊C4—222no—
1136C22⋊C4—222no—
1137C22⋊C4—222no—
1138C22⋊C4—222no—
1139C22⋊C4—442no—
1140C22⋊C4—442no—
1141C22⋊C4—442no—
1142C22⋊C4—442no—
1143C22⋊C4—442no—
1144C22⋊C4—442no—
1145C22⋊C4—442no—
1146C22⋊C4—442no—
1147C22⋊C4—442no—
1148C11#3499211yescharacteristic, complemented, Sylow
1149C23—21no—
1150C23—22no—
1151C23—21no—
1152C23—22no—
1153C23—22no—
1154C23—28no—
1155C23—28no—
1156C23—21no—
1157C23—22no—
1158C23—21no—
1159C23—22no—
1160C23—21no—
1161C23—21no—
1162C23—22no—
1163C23—21no—
1164C23—22no—
1165C23—44no—
1166C23—48no—
1167C23—48no—
1168C23—112no—
1169C23—112no—
1170C23—112no—
1171C23—114no—
1172C23—114no—
1173C23—114no—
1174C23—1116no—
1175C23—112no—
1176C23—228no—
1177C23—228no—
1178C23—228no—
1179C23—228no—
1180C23—228no—
1181C23—228no—
1182C23—228no—
1183C23—2216no—
1184C23—2216no—
1185C23—228no—
1186C23—221no—
1187C23—221no—
1188C23—221no—
1189C23—222no—
1190C23—221no—
1191C23—221no—
1192C23—221no—
1193C23—222no—
1194C23—222no—
1195C23—228no—
1196C23—228no—
1197C23—221no—
1198C23—222no—
1199C23—221no—
1200C23—222no—
1201C23—221no—
1202C23—221no—
1203C23—222no—
1204C23—221no—
1205C23—222no—
1206C23—444no—
1207C23—444no—
1208C23—444no—
1209C23—444no—
1210C23—448no—
1211C23—448no—
1212C23—444no—
1213C23—444no—
1214C23—444no—
1215C23—448no—
1216C23—448no—
1217C23—448no—
1218C23—448no—
1219C23—444no—
1220C23—448no—
1221C23—448no—
1222C23—44128no—
1223C23—448no—
1224C23—448no—
1225C23—444no—
1226C23—444no—
1227C23—884no—
1228C23—884no—
1229C23C2×D4×D1112yes—
1230C23C2×D4×D1112yes—
1231C23C2×D4×D1112yes—
1232C23#6703712yes—
1233C23#41×D1114yes—
1234C23#6704212yes—
1235C23C24×D1111yescharacteristic
1236D4—44no—
1237D4—44no—
1238D4—44no—
1239D4—444no—
1240D4—444no—
1241D4—444no—
1242D4—444no—
1243D4—444no—
1244D4—444no—
1245D4—444no—
1246D4—444no—
1247D4—444no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—21no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—21no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—44no—
1268C2×C4—44no—
1269C2×C4—84no—
1270C2×C4—222no—
1271C2×C4—222no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—222no—
1276C2×C4—221no—
1277C2×C4—222no—
1278C2×C4—222no—
1279C2×C4—222no—
1280C2×C4—222no—
1281C2×C4—222no—
1282C2×C4—222no—
1283C2×C4—221no—
1284C2×C4—222no—
1285C2×C4—222no—
1286C2×C4—222no—
1287C2×C4—222no—
1288C2×C4—222no—
1289C2×C4—448no—
1290C2×C4—444no—
1291C2×C4—448no—
1292C2×C4—448no—
1293C2×C4—448no—
1294C2×C4—444no—
1295C2×C4—444no—
1296C2×C4—444no—
1297C2×C4—444no—
1298C2×C4—884no—
1299C22—22no—
1300C22—22no—
1301C22—22no—
1302C22—24no—
1303C22—24no—
1304C22—24no—
1305C22—24no—
1306C22—22no—
1307C22—22no—
1308C22—22no—
1309C22—22no—
1310C22—416no—
1311C22—42no—
1312C22—42no—
1313C22—41no—
1314C22—41no—
1315C22—42no—
1316C22—42no—
1317C22—41no—
1318C22—114no—
1319C22—114no—
1320C22—114no—
1321C22—2232no—
1322C22—222no—
1323C22—222no—
1324C22—222no—
1325C22—222no—
1326C22—222no—
1327C22—224no—
1328C22—224no—
1329C22—224no—
1330C22—224no—
1331C22—224no—
1332C22—224no—
1333C22—222no—
1334C22—222no—
1335C22—222no—
1336C22—222no—
1337C22—4416no—
1338C22—4416no—
1339C22—4416no—
1340C22—4416no—
1341C22—4416no—
1342C22—442no—
1343C22—442no—
1344C22—441no—
1345C22—441no—
1346C22—442no—
1347C22—442no—
1348C22—441no—
1349C22—888no—
1350C22#1062313614yes—
1351C22D11×#12314yes—
1352C22C22×D4×D1111yescharacteristic
1353C22C2×#6703711yescharacteristic
1354C22C2×#41×D1112yes—
1355C22C2×#6704211yescharacteristic
1356C22D11×H(5,𝔽2)12yes—
1357C4—42no—
1358C4—41no—
1359C4—42no—
1360C4—41no—
1361C4—42no—
1362C4—42no—
1363C4—41no—
1364C4—442no—
1365C4—441no—
1366C4—442no—
1367C4—441no—
1368C4—442no—
1369C4—442no—
1370C4—441no—
1371C2—24no—
1372C2—24no—
1373C2—42no—
1374C2—81no—
1375C2—224no—
1376C2—224no—
1377C2—224no—
1378C2—442no—
1379C2—881no—
1380C2C2×D11×#12311yescharacteristic
1381C2D11×#53411yescharacteristic
1382C2C2×#1062313611yescharacteristic
1383C2#1308229812yes—
1384C2#1308230012yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2412C2
prime radicalC2×D11×#120C2
hypercenter#2412D11
hypocenterC11#34992
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
2. C22×C22⋊C4×D11C2semidirect
3. #13076911C2semidirect
4. #13076909C2semidirect
5. #13076907C2semidirect
6. #13076905C2semidirect
7. #13074390C2semidirect
8. #13074388C2semidirect
9. #13072896C2semidirect
10. #13072895C2semidirect
11. #13072893C2semidirect
12. #13072013C2semidirect
13. #13072012C2semidirect
14. #13072011C2semidirect
15. #13072009C2semidirect
16. #13072006C2semidirect
17. #13071942C2semidirect
18. #13071940C2semidirect
19. #13071938C2semidirect
20. #13071229C2semidirect
21. #13071190C2semidirect
22. C2×#10622568C2semidirect
23. C11×#2412C2semidirect
28. C23×C4×D11C22semidirect
29. C23×C4×D11C22semidirect
30. C2×C11×#123C22semidirect
32. C22×C11×C22⋊C4C22semidirect
33. C22×C11×C22⋊C4C22semidirect
35. C22×C22⋊Dic11C22semidirect
36. C22×C22⋊Dic11C22semidirect
40. C2×#66988C22semidirect
41. C2×#66982C22semidirect
45. C22×(C2×D11)⋊C4C22semidirect
47. C2×#66947C22semidirect
48. C2×#66939C22semidirect
49. C2×#66936C22semidirect
59. C2×C22⋊C4×D11C22semidirect
60. C2×C22⋊C4×D11C22semidirect
61. C11×#397C22semidirect
62. C11×#394C22semidirect
63. C11×#386C22semidirect
64. C11×#386C22semidirect
65. C11×#385C22semidirect
66. C11×#381C22semidirect
67. C11×#380C22semidirect
68. #10622835C22semidirect
69. #10622833C22semidirect
70. #10622833C22semidirect
71. #10622826C22semidirect
72. #10622826C22semidirect
73. #10622825C22semidirect
74. #10622824C22semidirect
75. #10622823C22semidirect
76. #10622606C22semidirect
77. #10622604C22semidirect
78. #10622602C22semidirect
79. #10622602C22semidirect
80. #10622602C22semidirect
81. #10622602C22semidirect
82. #10622602C22semidirect
83. #10622574C22semidirect
84. #10622574C22semidirect
85. #10622572C22semidirect
86. #10622572C22semidirect
87. #10622571C22semidirect
88. #10622571C22semidirect
89. #10622569C22semidirect
90. #10622569C22semidirect
91. #10622569C22semidirect
95. #10622568C22semidirect
96. #10622568C22semidirect
97. #10622568C22semidirect
98. #10622568C22semidirect
99. #10622568C22semidirect
100. #10622566C22semidirect
101. #10622565C22semidirect
102. #10622565C22semidirect
103. #10622563C22semidirect
104. #10622559C22semidirect
105. #10622556C22semidirect
106. #10622556C22semidirect
107. #10622555C22semidirect
108. #10622555C22semidirect
109. #10622288C22semidirect
110. #10622288C22semidirect
111. #10622287C22semidirect
112. #10622285C22semidirect
113. #10622281C22semidirect
114. #10622281C22semidirect
115. #10622281C22semidirect
116. #10622281C22semidirect
117. #10622281C22semidirect
118. #10622278C22semidirect
119. #10622278C22semidirect
120. #10622278C22semidirect
121. #10622277C22semidirect
122. #10622277C22semidirect
123. #10622277C22semidirect
124. #10622277C22semidirect
177. C2×C11×C4⋊C4C23semidirect
178. C2×C11×C4⋊C4C23semidirect
189. C2×C11×C22⋊C4C23semidirect
190. C2×C11×C22⋊C4C23semidirect
202. C2×C22⋊Dic11C23semidirect
203. C2×C22⋊Dic11C23semidirect
231. C2×(C2×D11)⋊C4C23semidirect
232. C2×(C2×D11)⋊C4C23semidirect
233. C2×(C2×D11)⋊C4C23semidirect
234. C2×(C2×D11)⋊C4C23semidirect
235. C2×C4⋊Dic11C23semidirect
236. C2×C4⋊Dic11C23semidirect
237. C2×Dic11⋊C4C23semidirect
238. C2×Dic11⋊C4C23semidirect
239. C2×Dic11⋊C4C23semidirect
240. C2×Dic11⋊C4C23semidirect
254. C11×#95C23semidirect
255. C11×#95C23semidirect
256. C11×#95C23semidirect
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
473. #2412D11semidirect
559. C22×D11#123semidirect
641. C2×#123C2×D11semidirect
665. C22×C22⋊C4C2×D11semidirect
666. C22×C22⋊C4C2×D11semidirect
674. #397C2×D11semidirect
682. #394C2×D11semidirect
695. #386C2×D11semidirect
696. #386C2×D11semidirect
710. #385C2×D11semidirect
718. #381C2×D11semidirect
722. #380C2×D11semidirect
873. C2×C4⋊C4C22×D11semidirect
874. C2×C4⋊C4C22×D11semidirect
930. C2×C22⋊C4C22×D11semidirect
931. C2×C22⋊C4C22×D11semidirect
944. #95C22×D11semidirect
945. #95C22×D11semidirect
946. #95C22×D11semidirect
947. #95C22×D11semidirect
1148. C11#34992semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1202
C22×C22⋊C4×D112
#130769112
#130769092
#130769072
#130769052
#130743902
#130743882
#130728962
#130728952
#130728932
#130720132
#130720122
#130720112
#130720092
#130720062
#130719422
#130719402
#130719382
#130712292
#130711902
C2×#106225682
C11×#24122
#3499211