Finite Group Databasebeta

← #14913813

Subgroups — #14913813

Order 2816.

4110 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊C4×D11C211yesmaximal, characteristic
2#13071468C211yesmaximal, characteristic, complemented
3#13071467C211yesmaximal, characteristic, complemented
4#13071466C211yesmaximal, characteristic, complemented
5#13071465C211yesmaximal, characteristic, complemented
6#13071464C212yesmaximal, complemented
7#13071463C212yesmaximal, complemented
8#13071462C211yesmaximal, characteristic, complemented
9#13071461C211yesmaximal, characteristic, complemented
10#13071460C212yesmaximal, complemented
11#13071459C212yesmaximal, complemented
12#13071458C211yesmaximal, characteristic, complemented
13#13071227C212yesmaximal, complemented
14#13071210C212yesmaximal, complemented
15#13071210C212yesmaximal, complemented
16#13070998C211yesmaximal, characteristic, complemented
17#13070997C211yesmaximal, characteristic, complemented
18#13070996C211yesmaximal, characteristic, complemented
19#13070995C211yesmaximal, characteristic, complemented
20C2×#10622568C211yesmaximal, characteristic
21D11×#379C211yesmaximal, characteristic
22#13070968C212yesmaximal, complemented
23C11×#2342C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic
25C23×C4×D11C2211yescharacteristic
26C23×C4×D11C2211yescharacteristic
27C2×C11×#117C2211yescharacteristic, complemented
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C22⋊Dic11C2211yescharacteristic
31C22×C22⋊Dic11C2211yescharacteristic
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C2×#66979C2211yescharacteristic, complemented
37C2×#66945C2212yescomplemented
38C2×C22⋊C4×D11C4116yescomplemented
39C2×C22⋊C4×D11C2212yes—
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2212yes—
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66930C2211yescharacteristic, complemented
52C2×#66930C2211yescharacteristic, complemented
53C2×#66925C2212yescomplemented
54C11×#388C2212yescomplemented
55C11×#388C2212yescomplemented
56C11×#385C2212yescomplemented
57C11×#381C2211yescharacteristic, complemented
58C11×#380C2211yescharacteristic, complemented
59C11×#379C2211yescharacteristic
60C4×C11×C22⋊C4C2212yescomplemented
61C4×C11×C22⋊C4C2211yescharacteristic, complemented
62#10622860C2211yescharacteristic
63#10622825C2211yescharacteristic, complemented
64#10622824C2211yescharacteristic, complemented
65#10622823C2212yescomplemented
66C4×C22⋊Dic11C2212yescomplemented
67C4×C22⋊Dic11C2211yescharacteristic, complemented
68#10622603C2212yescomplemented
69#10622603C2212yescomplemented
70#10622602C2212yescomplemented
71#10622602C2212yescomplemented
72#10622600C2212yescomplemented
73#10622600C2212yescomplemented
74#10622600C2212yescomplemented
75#10622568C2211yescharacteristic
76#10622568C2212yes—
77#10622568C2212yes—
78#10622568C2212yes—
79#10622568C2212yes—
80#10622568C2211yescharacteristic
81#10622568C2211yescharacteristic
82#10622568C2211yescharacteristic
83#10622568C2211yescharacteristic
84#10622568C2211yescharacteristic
85#10622564C2212yescomplemented
86#10622564C2212yescomplemented
87#10622563C2212yescomplemented
88#10622559C2212yescomplemented
89#10622558C2212yescomplemented
90#10622558C2212yescomplemented
91#10622557C2212yescomplemented
92#10622557C2212yescomplemented
93#10622556C2211yescharacteristic, complemented
94#10622556C2211yescharacteristic, complemented
95#10622555C2211yescharacteristic, complemented
96#10622555C2211yescharacteristic, complemented
97C22⋊C4×Dic11C2211yescharacteristic, complemented
98C22⋊C4×Dic11C2212yescomplemented
99C22⋊C4×Dic11C2212yescomplemented
100C22⋊C4×Dic11C2211yescharacteristic, complemented
101#10622553C2212yescomplemented
102#10622553C2212yescomplemented
103C4×(C2×D11)⋊C4C2212yescomplemented
104C4×(C2×D11)⋊C4C2212yescomplemented
105C4×(C2×D11)⋊C4C2212yescomplemented
106C4×(C2×D11)⋊C4C2212yescomplemented
107C4×(C2×D11)⋊C4C2212yescomplemented
108#10622283C2212yescomplemented
109#10622283C2212yescomplemented
110#10622282C2212yescomplemented
111#10622282C2212yescomplemented
112#10622281C2212yescomplemented
113#10622281C2212yescomplemented
114#10622280C2212yescomplemented
115#10622280C2212yescomplemented
116#10622280C2212yescomplemented
117#10622279C2212yescomplemented
118#10622279C2212yescomplemented
119#10622279C2212yescomplemented
120#10622279C2212yescomplemented
121#10622279C2212yescomplemented
122#10622277C2212yescomplemented
123#10622277C2212yescomplemented
124C25×C11C2311yescharacteristic
125C24×D11—28no—
126C24×D11—44no—
127C24×D11—42no—
128C24×D11—42no—
129C24×D11C2×C418yes—
130C24×D11C2311yescharacteristic
131C24×D11C2311yescharacteristic
132C24×D11C2311yescharacteristic
133C24×D11C2311yescharacteristic
134C24×D11C2311yescharacteristic
135C24×D11C2311yescharacteristic
136C23×C4×C11C2311yescharacteristic
137C23×C4×C11C2312yes—
138C23×C4×C11C2311yescharacteristic
139C23×Dic11C2311yescharacteristic
140C23×Dic11C2312yes—
141C23×Dic11C2311yescharacteristic
142C22×C4×D11—44no—
143C22×C4×D11—42no—
144C22×C4×D11—42no—
145C22×C4×D11C2×C418yescomplemented
146C22×C4×D11C2×C418yescomplemented
147C22×C4×D11C2311yescharacteristic
148C22×C4×D11C2311yescharacteristic
149C22×C4×D11C2312yes—
150C22×C4×D11C2312yes—
151C22×C4×D11C2311yescharacteristic
152C22×C4×D11C2311yescharacteristic
153C22×C4×D11C2311yescharacteristic
154C22×C4×D11C2311yescharacteristic
155C22×C4×D11C2311yescharacteristic
156C22×C4×D11C2311yescharacteristic
157C11×#117—42no—
158C2×C11×C4⋊C4C2312yescomplemented
159C2×C11×C4⋊C4C2312yescomplemented
160C2×C11×C22⋊C4—42no—
161C2×C11×C22⋊C4C2×C418yescomplemented
162C2×C11×C22⋊C4C2311yescharacteristic
163C2×C11×C22⋊C4C2311yescharacteristic
164C2×C11×C22⋊C4C2311yescharacteristic
165C2×C11×C22⋊C4C2312yes—
166C2×C11×C22⋊C4C2311yescharacteristic
167C2×C11×C22⋊C4C2312yes—
168C2×C11×C22⋊C4C2312yes—
169C2×C11×C22⋊C4C2311yescharacteristic
170C2×C11×C22⋊C4C2311yescharacteristic
171C2×C11×C22⋊C4C2311yescharacteristic
172C2×C11×C22⋊C4C2311yescharacteristic
173C2×C42×C11C2312yescomplemented
174C2×C42×C11C2312yescomplemented
175C2×C22⋊Dic11—42no—
176C2×C22⋊Dic11C2×C418yescomplemented
177C2×C22⋊Dic11C2311yescharacteristic
178C2×C22⋊Dic11C2311yescharacteristic
179C2×C22⋊Dic11C2311yescharacteristic
180C2×C22⋊Dic11C2312yes—
181C2×C22⋊Dic11C2311yescharacteristic
182C2×C22⋊Dic11C2312yes—
183C2×C22⋊Dic11C2312yes—
184C2×C22⋊Dic11C2311yescharacteristic
185C2×C22⋊Dic11C2311yescharacteristic
186C2×C22⋊Dic11C2311yescharacteristic
187C2×C22⋊Dic11C2311yescharacteristic
188C2×(C2×D11)⋊C4—28no—
189C2×(C2×D11)⋊C4—44no—
190C2×(C2×D11)⋊C4C2×C418yescomplemented
191C2×(C2×D11)⋊C4C2×C418yescomplemented
192C2×(C2×D11)⋊C4C2312yes—
193C2×(C2×D11)⋊C4C2312yes—
194C2×(C2×D11)⋊C4C2312yes—
195C2×(C2×D11)⋊C4C2312yes—
196C2×(C2×D11)⋊C4C2312yes—
197C2×(C2×D11)⋊C4C2312yes—
198C2×(C2×D11)⋊C4C2312yes—
199C2×(C2×D11)⋊C4C2312yes—
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)⋊C4C2311yescharacteristic
207C2×(C2×D11)⋊C4C2311yescharacteristic
208C2×(C2×D11)⋊C4C2311yescharacteristic
209C2×(C2×D11)⋊C4C2311yescharacteristic
210C2×(C2×D11)⋊C4C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×(C2×D11)⋊C4C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214#66979—42no—
215C2×C4⋊Dic11C2312yescomplemented
216C2×C4⋊Dic11C2312yescomplemented
217C2×Dic11⋊C4C2312yescomplemented
218C2×Dic11⋊C4C2312yescomplemented
219C2×Dic11⋊C4C2312yescomplemented
220C2×Dic11⋊C4C2312yescomplemented
221C2×C4×Dic11C2312yescomplemented
222C2×C4×Dic11C2312yescomplemented
223C2×C4×Dic11C2312yescomplemented
224C2×C4×Dic11C2312yescomplemented
225C2×C4×Dic11C2312yescomplemented
226C2×C4×Dic11C2312yescomplemented
227#66945—44no—
228C22⋊C4×D11—28no—
229C22⋊C4×D11—44no—
230C22⋊C4×D11—42no—
231C22⋊C4×D11—42no—
232C22⋊C4×D11C2×C418yes—
233C22⋊C4×D11C2×C418yes—
234C22⋊C4×D11C2×C418yescomplemented
235C22⋊C4×D11C2×C418yescomplemented
236C22⋊C4×D11C2×C418yescomplemented
237C22⋊C4×D11C2×C418yescomplemented
238C22⋊C4×D11C2×C418yescomplemented
239C22⋊C4×D11C2×C418yescomplemented
240#66930—42no—
241#66930—42no—
242#66925—44no—
243C11×#95C2312yescomplemented
244C11×#95C2312yescomplemented
245C11×#95C2312yescomplemented
246C11×#95C2312yescomplemented
247C11⋊#95C2312yescomplemented
248C11⋊#95C2312yescomplemented
249C11⋊#95C2312yescomplemented
250C11⋊#95C2312yescomplemented
251C11⋊#95C2312yescomplemented
252C11⋊#95C2312yescomplemented
253C11⋊#95C2312yescomplemented
254C11⋊#95C2312yescomplemented
255C11⋊#95C2312yescomplemented
256C11⋊#95C2312yescomplemented
257C11⋊#95C2312yescomplemented
258C11⋊#95C2312yescomplemented
259#34176—111nomaximal, Sylow
260C24×C11—24no—
261C24×C11—22no—
262C24×C11—22no—
263C24×C11—42no—
264C24×C11C22×C414yes—
265C24×C11C2411yescharacteristic
266C24×C11C2411yescharacteristic
267C24×C11C2411yescharacteristic
268C23×D11—22no—
269C23×D11—22no—
270C23×D11—24no—
271C23×D11—24no—
272C23×D11—24no—
273C23×D11—22no—
274C23×D11—22no—
275C23×D11—232no—
276C23×D11—24no—
277C23×D11—24no—
278C23×D11—24no—
279C23×D11—24no—
280C23×D11—24no—
281C23×D11—416no—
282C23×D11—416no—
283C23×D11—41no—
284C23×D11—42no—
285C23×D11—41no—
286C23×D11—41no—
287C23×D11—41no—
288C23×D11—41no—
289C23×D11—42no—
290C23×D11—41no—
291C23×D11—41no—
292C23×D11—42no—
293C23×D11—41no—
294C23×D11—432no—
295C23×D11—432no—
296C23×D11C22×C414yes—
297C23×D11C22×C414yes—
298C23×D11C22×C414yes—
299C23×D11C22×C414yes—
300C23×D11C22×C414yes—
301C23×D11C22×C414yes—
302C23×D11#4118yes—
303C23×D11C2411yescharacteristic
304C23×D11C2411yescharacteristic
305C23×D11C2411yescharacteristic
306C23×D11C2411yescharacteristic
307C22×C4×C11—22no—
308C22×C4×C11—22no—
309C22×C4×C11—24no—
310C22×C4×C11—42no—
311C22×C4×C11—42no—
312C22×C4×C11—42no—
313C22×C4×C11C22×C414yes—
314C22×C4×C11C22×C414yes—
315C22×C4×C11C2412yes—
316C22×C4×C11C2412yes—
317C22×C4×C11C2412yes—
318C22×C4×C11C2412yes—
319C22×C4×C11C2411yescharacteristic
320C22×C4×C11C2411yescharacteristic
321C22×C4×C11C2411yescharacteristic
322C22×C4×C11C2411yescharacteristic
323C22×Dic11—24no—
324C22×Dic11—22no—
325C22×Dic11—22no—
326C22×Dic11—42no—
327C22×Dic11—42no—
328C22×Dic11—42no—
329C22×Dic11C22×C414yes—
330C22×Dic11C22×C414yes—
331C22×Dic11C2412yes—
332C22×Dic11C2412yes—
333C22×Dic11C2412yes—
334C22×Dic11C2412yes—
335C22×Dic11C2411yescharacteristic
336C22×Dic11C2411yescharacteristic
337C22×Dic11C2411yescharacteristic
338C22×Dic11C2411yescharacteristic
339C2×C4×D11—24no—
340C2×C4×D11—24no—
341C2×C4×D11—24no—
342C2×C4×D11—24no—
343C2×C4×D11—416no—
344C2×C4×D11—41no—
345C2×C4×D11—41no—
346C2×C4×D11—42no—
347C2×C4×D11—41no—
348C2×C4×D11—41no—
349C2×C4×D11—42no—
350C2×C4×D11—41no—
351C2×C4×D11—41no—
352C2×C4×D11—41no—
353C2×C4×D11—41no—
354C2×C4×D11—42no—
355C2×C4×D11—42no—
356C2×C4×D11—42no—
357C2×C4×D11—42no—
358C2×C4×D11—416no—
359C2×C4×D11C22×C414yes—
360C2×C4×D11C22×C414yes—
361C2×C4×D11C22×C414yes—
362C2×C4×D11C22×C414yes—
363C2×C4×D11C22×C414yes—
364C2×C4×D11C22×C414yes—
365C2×C4×D11C22×C414yes—
366C2×C4×D11C22×C414yes—
367C11×C4⋊C4—42no—
368C11×C4⋊C4—42no—
369C11×C22⋊C4—24no—
370C11×C22⋊C4—22no—
371C11×C22⋊C4—22no—
372C11×C22⋊C4—22no—
373C11×C22⋊C4—22no—
374C11×C22⋊C4—42no—
375C11×C22⋊C4—42no—
376C11×C22⋊C4C22×C414yes—
377C11×C22⋊C4C22×C414yes—
378C11×C22⋊C4C22×C414yes—
379C11×C22⋊C4C22×C414yes—
380C42×C11—42no—
381C42×C11—42no—
382C22⋊Dic11—24no—
383C22⋊Dic11—22no—
384C22⋊Dic11—22no—
385C22⋊Dic11—22no—
386C22⋊Dic11—22no—
387C22⋊Dic11—42no—
388C22⋊Dic11—42no—
389C22⋊Dic11C22×C414yes—
390C22⋊Dic11C22×C414yes—
391C22⋊Dic11C22×C414yes—
392C22⋊Dic11C22×C414yes—
393(C2×D11)⋊C4—24no—
394(C2×D11)⋊C4—24no—
395(C2×D11)⋊C4—24no—
396(C2×D11)⋊C4—24no—
397(C2×D11)⋊C4—24no—
398(C2×D11)⋊C4—24no—
399(C2×D11)⋊C4—24no—
400(C2×D11)⋊C4—24no—
401(C2×D11)⋊C4—24no—
402(C2×D11)⋊C4—24no—
403(C2×D11)⋊C4—42no—
404(C2×D11)⋊C4—42no—
405(C2×D11)⋊C4—42no—
406(C2×D11)⋊C4—42no—
407(C2×D11)⋊C4C22×C414yes—
408(C2×D11)⋊C4C22×C414yes—
409(C2×D11)⋊C4C22×C414yes—
410(C2×D11)⋊C4C22×C414yes—
411(C2×D11)⋊C4C22×C414yes—
412(C2×D11)⋊C4C22×C414yes—
413(C2×D11)⋊C4C22×C414yes—
414(C2×D11)⋊C4C22×C414yes—
415C4⋊Dic11—42no—
416C4⋊Dic11—42no—
417Dic11⋊C4—42no—
418Dic11⋊C4—42no—
419Dic11⋊C4—42no—
420Dic11⋊C4—42no—
421C4×Dic11—42no—
422C4×Dic11—42no—
423C4×Dic11—42no—
424C4×Dic11—42no—
425C4×Dic11—42no—
426C4×Dic11—42no—
427C23×C22⋊C4—111no—
428#2342—112no—
429#2342—112no—
430#2342—112no—
431#2342—111no—
432#2342—111no—
433#2342—111no—
434#2342—112no—
435#2342—111no—
436#2342—111no—
437#2342—111no—
438#2342—111no—
439#2342D1111yescharacteristic, complemented
440#2315—112no—
441#2312—112no—
442#2312—112no—
443#2280—111no—
444#2280—111no—
445#2280—111no—
446#2280—111no—
447C2×#379—111no—
448C2×#379—111no—
449#2273—112no—
450C23×C11—22no—
451C23×C11—21no—
452C23×C11—22no—
453C23×C11—22no—
454C23×C11—21no—
455C23×C11—28no—
456C23×C11—28no—
457C23×C11—22no—
458C23×C11—21no—
459C23×C11—22no—
460C23×C11—21no—
461C23×C11—44no—
462C23×C11—48no—
463C23×C11—48no—
464C23×C11C23×C412yes—
465C23×C11C23×C412yes—
466C23×C11C23×C412yes—
467C23×C11C2×#4114yes—
468C23×C11H(5,𝔽2)12yes—
469C23×C11H(5,𝔽2)12yes—
470C23×C11C2511yescharacteristic
471C22×D11—216no—
472C22×D11—216no—
473C22×D11—28no—
474C22×D11—22no—
475C22×D11—21no—
476C22×D11—21no—
477C22×D11—21no—
478C22×D11—21no—
479C22×D11—21no—
480C22×D11—21no—
481C22×D11—22no—
482C22×D11—22no—
483C22×D11—28no—
484C22×D11—28no—
485C22×D11—28no—
486C22×D11—28no—
487C22×D11—22no—
488C22×D11—21no—
489C22×D11—21no—
490C22×D11—22no—
491C22×D11—28no—
492C22×D11—28no—
493C22×D11—28no—
494C22×D11—28no—
495C22×D11—28no—
496C22×D11—44no—
497C22×D11—44no—
498C22×D11—44no—
499C22×D11—44no—
500C22×D11—44no—
501C22×D11—44no—
502C22×D11—44no—
503C22×D11—48no—
504C22×D11—48no—
505C22×D11—48no—
506C22×D11—48no—
507C22×D11—48no—
508C22×D11—48no—
509C22×D11—48no—
510C22×D11—48no—
511C22×D11—4128no—
512C22×D11—48no—
513C22×D11—48no—
514C22×D11#117116yescomplemented
515C22×D11C23×C412yes—
516C22×D11C23×C412yes—
517C22×D11C23×C412yes—
518C22×D11C23×C412yes—
519C22×D11C2×#4114yes—
520C22×D11C2×#4114yes—
521C22×D11H(5,𝔽2)14yes—
522C2×C4×C11—28no—
523C2×C4×C11—21no—
524C2×C4×C11—22no—
525C2×C4×C11—21no—
526C2×C4×C11—22no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—22no—
530C2×C4×C11—22no—
531C2×C4×C11—22no—
532C2×C4×C11—22no—
533C2×C4×C11—22no—
534C2×C4×C11—22no—
535C2×C4×C11—22no—
536C2×C4×C11—22no—
537C2×C4×C11—22no—
538C2×C4×C11—22no—
539C2×C4×C11—22no—
540C2×C4×C11—22no—
541C2×C4×C11—44no—
542C2×C4×C11—84no—
543C2×C4×C11C23×C412yes—
544C2×C4×C11C23×C412yes—
545C2×C4×C11C23×C412yes—
546C2×C4×C11C23×C412yes—
547C2×Dic11—28no—
548C2×Dic11—22no—
549C2×Dic11—21no—
550C2×Dic11—21no—
551C2×Dic11—22no—
552C2×Dic11—21no—
553C2×Dic11—21no—
554C2×Dic11—22no—
555C2×Dic11—22no—
556C2×Dic11—22no—
557C2×Dic11—22no—
558C2×Dic11—22no—
559C2×Dic11—22no—
560C2×Dic11—22no—
561C2×Dic11—22no—
562C2×Dic11—22no—
563C2×Dic11—22no—
564C2×Dic11—22no—
565C2×Dic11—22no—
566C2×Dic11—44no—
567C2×Dic11—84no—
568C2×Dic11C23×C412yes—
569C2×Dic11C23×C412yes—
570C2×Dic11C23×C412yes—
571C2×Dic11C23×C412yes—
572C4×D11—28no—
573C4×D11—28no—
574C4×D11—44no—
575C4×D11—44no—
576C4×D11—44no—
577C4×D11—44no—
578C4×D11—44no—
579C4×D11—44no—
580C4×D11—84no—
581C4×D11—84no—
582C26—111no—
583C24×C4—111no—
584C24×C4—111no—
585C2×#117—111no—
586C2×#117—112no—
587C2×#117—111no—
588C2×#117—111no—
589C2×#117—112no—
590C2×#117C2×D1111yescharacteristic, complemented
591C22×C22⋊C4—111no—
592C22×C22⋊C4—111no—
593C22×C22⋊C4—111no—
594C22×C22⋊C4—111no—
595C22×C22⋊C4—111no—
596C22×C22⋊C4—111no—
597C22×C22⋊C4—111no—
598C22×C22⋊C4—111no—
599C22×C22⋊C4—111no—
600C22×C22⋊C4—111no—
601C22×C22⋊C4—111no—
602C22×C22⋊C4—1116no—
603C22×C22⋊C4—112no—
604C22×C22⋊C4—111no—
605C22×C22⋊C4—112no—
606C22×C22⋊C4—112no—
607C22×C22⋊C4—111no—
608C22×C22⋊C4—111no—
609C22×C22⋊C4—112no—
610C22×C22⋊C4C2×D1111yescharacteristic
611C22×C22⋊C4C2×D1111yescharacteristic
612#388—112no—
613#388—112no—
614#388—112no—
615#388—112no—
616#388—112no—
617#388—112no—
618#388—112no—
619#388—112no—
620#388—112no—
621#388—112no—
622#388—112no—
623#388—112no—
624#388—112no—
625#388—112no—
626#388C2×D1112yescomplemented
627#388C2×D1112yescomplemented
628#385—112no—
629#385—112no—
630#385—112no—
631#385—112no—
632#385—112no—
633#385—112no—
634#385—112no—
635#385C2×D1112yescomplemented
636#381—111no—
637#381—111no—
638#381—111no—
639#381—112no—
640#381—112no—
641#381C2×D1111yescharacteristic, complemented
642#380—111no—
643#380—112no—
644#380—112no—
645#380—112no—
646#380—111no—
647#380—111no—
648#380—112no—
649#380—112no—
650#380—112no—
651#380C2×D1111yescharacteristic, complemented
652#379—111no—
653#379—112no—
654#379—112no—
655#379—111no—
656#379—111no—
657#379—112no—
658#379—112no—
659#379—111no—
660#379—111no—
661#379—111no—
662#379—111no—
663#379C2×D1111yescharacteristic
664C4×C22⋊C4—112no—
665C4×C22⋊C4—111no—
666C4×C22⋊C4—112no—
667C4×C22⋊C4—112no—
668C4×C22⋊C4—111no—
669C4×C22⋊C4—111no—
670C4×C22⋊C4—112no—
671C4×C22⋊C4—112no—
672C4×C22⋊C4—112no—
673C4×C22⋊C4—112no—
674C4×C22⋊C4—112no—
675C4×C22⋊C4—112no—
676C4×C22⋊C4—112no—
677C4×C22⋊C4—112no—
678C4×C22⋊C4—112no—
679C4×C22⋊C4—112no—
680C4×C22⋊C4C2×D1112yescomplemented
681C4×C22⋊C4C2×D1111yescharacteristic, complemented
682C22×C11—22no—
683C22×C11—22no—
684C22×C11—22no—
685C22×C11—22no—
686C22×C11—24no—
687C22×C11—24no—
688C22×C11—24no—
689C22×C11—24no—
690C22×C11—22no—
691C22×C11—22no—
692C22×C11—22no—
693C22×C11—416no—
694C22×C11—42no—
695C22×C11—42no—
696C22×C11C2×#11714yes—
697C22×C11#51814yes—
698C22×C11C24×C411yescharacteristic
699C22×C11C22×#4112yes—
700C22×C11C2×H(5,𝔽2)11yescharacteristic
701C22×C11C2×H(5,𝔽2)11yescharacteristic
702C22×C11C2×H(5,𝔽2)12yes—
703C2×D11—232no—
704C2×D11—22no—
705C2×D11—22no—
706C2×D11—22no—
707C2×D11—22no—
708C2×D11—22no—
709C2×D11—22no—
710C2×D11—24no—
711C2×D11—24no—
712C2×D11—24no—
713C2×D11—24no—
714C2×D11—24no—
715C2×D11—24no—
716C2×D11—22no—
717C2×D11—22no—
718C2×D11—22no—
719C2×D11—416no—
720C2×D11—416no—
721C2×D11—416no—
722C2×D11—416no—
723C2×D11—416no—
724C2×D11—42no—
725C2×D11—42no—
726C2×D11C2×#11714yes—
727C2×D11C2×#11714yes—
728C2×D11#51814yes—
729C4×C11—22no—
730C4×C11—22no—
731C4×C11—22no—
732C4×C11—22no—
733C4×C11—42no—
734C4×C11—42no—
735C4×C11—42no—
736C4×C11—42no—
737Dic11—22no—
738Dic11—22no—
739Dic11—22no—
740Dic11—22no—
741Dic11—42no—
742Dic11—42no—
743Dic11—42no—
744Dic11—42no—
745C25—111no—
746C25—111no—
747C25—111no—
748C25—111no—
749C25—111no—
750C25—118no—
751C25—111no—
752C25—228no—
753C25—442no—
754C25—442no—
755C25—444no—
756C25C22×D1111yescharacteristic
757C23×C4—111no—
758C23×C4—111no—
759C23×C4—111no—
760C23×C4—111no—
761C23×C4—118no—
762C23×C4—118no—
763C23×C4—111no—
764C23×C4—111no—
765C23×C4—111no—
766C23×C4—111no—
767C23×C4—111no—
768C23×C4—111no—
769C23×C4—112no—
770C23×C4—112no—
771C23×C4—112no—
772C23×C4—442no—
773C23×C4—442no—
774C23×C4—444no—
775C23×C4C22×D1111yescharacteristic
776C23×C4C22×D1112yes—
777C23×C4C22×D1111yescharacteristic
778#117—42no—
779#117—444no—
780#117—442no—
781#117—442no—
782#117—444no—
783#117—442no—
784C2×C4⋊C4—112no—
785C2×C4⋊C4—112no—
786C2×C4⋊C4—112no—
787C2×C4⋊C4—112no—
788C2×C4⋊C4—112no—
789C2×C4⋊C4—112no—
790C2×C4⋊C4C22×D1112yescomplemented
791C2×C4⋊C4C22×D1112yescomplemented
792C2×C22⋊C4—42no—
793C2×C22⋊C4—118no—
794C2×C22⋊C4—111no—
795C2×C22⋊C4—111no—
796C2×C22⋊C4—111no—
797C2×C22⋊C4—111no—
798C2×C22⋊C4—118no—
799C2×C22⋊C4—118no—
800C2×C22⋊C4—111no—
801C2×C22⋊C4—111no—
802C2×C22⋊C4—111no—
803C2×C22⋊C4—111no—
804C2×C22⋊C4—111no—
805C2×C22⋊C4—111no—
806C2×C22⋊C4—111no—
807C2×C22⋊C4—111no—
808C2×C22⋊C4—118no—
809C2×C22⋊C4—118no—
810C2×C22⋊C4—118no—
811C2×C22⋊C4—118no—
812C2×C22⋊C4—118no—
813C2×C22⋊C4—118no—
814C2×C22⋊C4—118no—
815C2×C22⋊C4—118no—
816C2×C22⋊C4—111no—
817C2×C22⋊C4—111no—
818C2×C22⋊C4—111no—
819C2×C22⋊C4—111no—
820C2×C22⋊C4—112no—
821C2×C22⋊C4—112no—
822C2×C22⋊C4—112no—
823C2×C22⋊C4—112no—
824C2×C22⋊C4—112no—
825C2×C22⋊C4—112no—
826C2×C22⋊C4—112no—
827C2×C22⋊C4—112no—
828C2×C22⋊C4—112no—
829C2×C22⋊C4—112no—
830C2×C22⋊C4—112no—
831C2×C22⋊C4—112no—
832C2×C22⋊C4—112no—
833C2×C22⋊C4—112no—
834C2×C22⋊C4—112no—
835C2×C22⋊C4—112no—
836C2×C22⋊C4—112no—
837C2×C22⋊C4—228no—
838C2×C22⋊C4—228no—
839C2×C22⋊C4—442no—
840C2×C22⋊C4—442no—
841C2×C22⋊C4—444no—
842C2×C22⋊C4—444no—
843C2×C22⋊C4—442no—
844C2×C22⋊C4C4×D1118yescomplemented
845C2×C22⋊C4C22×D1111yescharacteristic
846C2×C22⋊C4C22×D1111yescharacteristic
847C2×C22⋊C4C22×D1112yes—
848C2×C22⋊C4C22×D1111yescharacteristic
849C2×C22⋊C4C22×D1111yescharacteristic
850C2×C22⋊C4C22×D1112yes—
851C2×C22⋊C4C22×D1112yes—
852C2×C22⋊C4C22×D1111yescharacteristic
853C2×C22⋊C4C22×D1111yescharacteristic
854C2×C22⋊C4C22×D1111yescharacteristic
855C2×C22⋊C4C22×D1111yescharacteristic
856C2×C42—112no—
857C2×C42—112no—
858C2×C42—112no—
859C2×C42—112no—
860C2×C42—112no—
861C2×C42—112no—
862C2×C42C22×D1112yescomplemented
863C2×C42C22×D1112yescomplemented
864#95—112no—
865#95—112no—
866#95—112no—
867#95—112no—
868#95—112no—
869#95—112no—
870#95—112no—
871#95—112no—
872#95—112no—
873#95—112no—
874#95—112no—
875#95—112no—
876#95C22×D1112yescomplemented
877#95C22×D1112yescomplemented
878#95C22×D1112yescomplemented
879#95C22×D1112yescomplemented
880C2×C11—24no—
881C2×C11—24no—
882C2×C11—42no—
883C2×C11C22×#11711yescharacteristic
884C2×C11C2×#51811yescharacteristic
885C2×C11C2×#51811yescharacteristic
886C2×C11#349012yes—
887C2×C11#349012yes—
888D11—24no—
889D11—24no—
890D11—24no—
891D11—42no—
892C24—22no—
893C24—24no—
894C24—22no—
895C24—42no—
896C24—111no—
897C24—111no—
898C24—111no—
899C24—114no—
900C24—118no—
901C24—114no—
902C24—111no—
903C24—114no—
904C24—114no—
905C24—114no—
906C24—114no—
907C24—224no—
908C24—224no—
909C24—224no—
910C24—224no—
911C24—224no—
912C24—2232no—
913C24—224no—
914C24—224no—
915C24—222no—
916C24—222no—
917C24—222no—
918C24—224no—
919C24—222no—
920C24—441no—
921C24—441no—
922C24—441no—
923C24—441no—
924C24—442no—
925C24—442no—
926C24—4416no—
927C24—441no—
928C24—441no—
929C24—441no—
930C24—441no—
931C24—442no—
932C24—4416no—
933C24—4432no—
934C24—4432no—
935C24C2×C4×D1114yes—
936C24C23×D1111yescharacteristic
937C24C23×D1111yescharacteristic
938C24C23×D1111yescharacteristic
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—24no—
942C22×C4—42no—
943C22×C4—42no—
944C22×C4—42no—
945C22×C4—114no—
946C22×C4—111no—
947C22×C4—111no—
948C22×C4—111no—
949C22×C4—111no—
950C22×C4—114no—
951C22×C4—114no—
952C22×C4—114no—
953C22×C4—114no—
954C22×C4—114no—
955C22×C4—114no—
956C22×C4—114no—
957C22×C4—114no—
958C22×C4—114no—
959C22×C4—112no—
960C22×C4—112no—
961C22×C4—112no—
962C22×C4—112no—
963C22×C4—224no—
964C22×C4—224no—
965C22×C4—224no—
966C22×C4—224no—
967C22×C4—222no—
968C22×C4—222no—
969C22×C4—224no—
970C22×C4—4416no—
971C22×C4—441no—
972C22×C4—441no—
973C22×C4—441no—
974C22×C4—441no—
975C22×C4—441no—
976C22×C4—441no—
977C22×C4—441no—
978C22×C4—441no—
979C22×C4—442no—
980C22×C4—442no—
981C22×C4—442no—
982C22×C4—442no—
983C22×C4—442no—
984C22×C4—442no—
985C22×C4—4416no—
986C22×C4—442no—
987C22×C4—442no—
988C22×C4—442no—
989C22×C4C2×C4×D1114yes—
990C22×C4C2×C4×D1114yes—
991C22×C4C23×D1112yes—
992C22×C4C23×D1112yes—
993C22×C4C23×D1112yes—
994C22×C4C23×D1112yes—
995C22×C4C23×D1111yescharacteristic
996C22×C4C23×D1111yescharacteristic
997C22×C4C23×D1111yescharacteristic
998C22×C4C23×D1111yescharacteristic
999C4⋊C4—42no—
1000C4⋊C4—42no—
1001C4⋊C4—442no—
1002C4⋊C4—442no—
1003C4⋊C4—442no—
1004C4⋊C4—442no—
1005C4⋊C4—442no—
1006C4⋊C4—442no—
1007C22⋊C4—22no—
1008C22⋊C4—22no—
1009C22⋊C4—22no—
1010C22⋊C4—24no—
1011C22⋊C4—22no—
1012C22⋊C4—42no—
1013C22⋊C4—42no—
1014C22⋊C4—114no—
1015C22⋊C4—114no—
1016C22⋊C4—114no—
1017C22⋊C4—114no—
1018C22⋊C4—114no—
1019C22⋊C4—114no—
1020C22⋊C4—114no—
1021C22⋊C4—114no—
1022C22⋊C4—114no—
1023C22⋊C4—114no—
1024C22⋊C4—114no—
1025C22⋊C4—114no—
1026C22⋊C4—224no—
1027C22⋊C4—224no—
1028C22⋊C4—224no—
1029C22⋊C4—224no—
1030C22⋊C4—224no—
1031C22⋊C4—224no—
1032C22⋊C4—224no—
1033C22⋊C4—224no—
1034C22⋊C4—224no—
1035C22⋊C4—224no—
1036C22⋊C4—222no—
1037C22⋊C4—224no—
1038C22⋊C4—222no—
1039C22⋊C4—222no—
1040C22⋊C4—222no—
1041C22⋊C4—442no—
1042C22⋊C4—442no—
1043C22⋊C4—442no—
1044C22⋊C4—442no—
1045C22⋊C4—442no—
1046C22⋊C4—442no—
1047C22⋊C4C2×C4×D1114yes—
1048C22⋊C4C2×C4×D1114yes—
1049C22⋊C4C2×C4×D1114yes—
1050C22⋊C4C2×C4×D1114yes—
1051C42—42no—
1052C42—42no—
1053C42—442no—
1054C42—442no—
1055C42—442no—
1056C42—442no—
1057C42—442no—
1058C42—442no—
1059C11#3417611yescharacteristic, complemented, Sylow
1060C23—21no—
1061C23—22no—
1062C23—21no—
1063C23—22no—
1064C23—22no—
1065C23—28no—
1066C23—28no—
1067C23—21no—
1068C23—22no—
1069C23—21no—
1070C23—22no—
1071C23—44no—
1072C23—48no—
1073C23—48no—
1074C23—112no—
1075C23—112no—
1076C23—112no—
1077C23—114no—
1078C23—114no—
1079C23—114no—
1080C23—1116no—
1081C23—112no—
1082C23—228no—
1083C23—228no—
1084C23—228no—
1085C23—228no—
1086C23—228no—
1087C23—228no—
1088C23—228no—
1089C23—2216no—
1090C23—2216no—
1091C23—228no—
1092C23—221no—
1093C23—221no—
1094C23—221no—
1095C23—222no—
1096C23—221no—
1097C23—221no—
1098C23—221no—
1099C23—222no—
1100C23—222no—
1101C23—228no—
1102C23—228no—
1103C23—221no—
1104C23—222no—
1105C23—221no—
1106C23—222no—
1107C23—448no—
1108C23—448no—
1109C23—444no—
1110C23—444no—
1111C23—444no—
1112C23—444no—
1113C23—444no—
1114C23—444no—
1115C23—444no—
1116C23—448no—
1117C23—448no—
1118C23—448no—
1119C23—448no—
1120C23—448no—
1121C23—448no—
1122C23—44128no—
1123C23—448no—
1124C23—448no—
1125C23C22×C4×D1112yes—
1126C23C22×C4×D1112yes—
1127C23C22×C4×D1112yes—
1128C23#6703712yes—
1129C23#41×D1114yes—
1130C23#6704212yes—
1131C23C24×D1111yescharacteristic
1132C2×C4—28no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—22no—
1138C2×C4—22no—
1139C2×C4—22no—
1140C2×C4—22no—
1141C2×C4—22no—
1142C2×C4—22no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—22no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—22no—
1151C2×C4—44no—
1152C2×C4—84no—
1153C2×C4—112no—
1154C2×C4—112no—
1155C2×C4—112no—
1156C2×C4—112no—
1157C2×C4—228no—
1158C2×C4—228no—
1159C2×C4—228no—
1160C2×C4—221no—
1161C2×C4—221no—
1162C2×C4—221no—
1163C2×C4—221no—
1164C2×C4—222no—
1165C2×C4—222no—
1166C2×C4—222no—
1167C2×C4—222no—
1168C2×C4—222no—
1169C2×C4—222no—
1170C2×C4—222no—
1171C2×C4—222no—
1172C2×C4—222no—
1173C2×C4—222no—
1174C2×C4—222no—
1175C2×C4—222no—
1176C2×C4—222no—
1177C2×C4—222no—
1178C2×C4—444no—
1179C2×C4—444no—
1180C2×C4—444no—
1181C2×C4—444no—
1182C2×C4—444no—
1183C2×C4—444no—
1184C2×C4—444no—
1185C2×C4—884no—
1186C2×C4—884no—
1187C2×C4—884no—
1188C2×C4C22×C4×D1112yes—
1189C2×C4C22×C4×D1112yes—
1190C2×C4C22×C4×D1112yes—
1191C2×C4C22×C4×D1112yes—
1192C22—22no—
1193C22—24no—
1194C22—24no—
1195C22—24no—
1196C22—24no—
1197C22—22no—
1198C22—22no—
1199C22—22no—
1200C22—22no—
1201C22—22no—
1202C22—22no—
1203C22—416no—
1204C22—42no—
1205C22—42no—
1206C22—114no—
1207C22—114no—
1208C22—114no—
1209C22—2232no—
1210C22—222no—
1211C22—224no—
1212C22—224no—
1213C22—224no—
1214C22—224no—
1215C22—224no—
1216C22—224no—
1217C22—222no—
1218C22—222no—
1219C22—222no—
1220C22—222no—
1221C22—222no—
1222C22—222no—
1223C22—222no—
1224C22—222no—
1225C22—4416no—
1226C22—4416no—
1227C22—4416no—
1228C22—4416no—
1229C22—4416no—
1230C22—442no—
1231C22—442no—
1232C22D11×#11714yes—
1233C22#1062307614yes—
1234C22C23×C4×D1111yescharacteristic
1235C22C2×#6703711yescharacteristic
1236C22C2×#41×D1112yes—
1237C22C2×#6704211yescharacteristic
1238C22D11×H(5,𝔽2)12yes—
1239C4—22no—
1240C4—22no—
1241C4—22no—
1242C4—22no—
1243C4—42no—
1244C4—42no—
1245C4—42no—
1246C4—42no—
1247C4—222no—
1248C4—222no—
1249C4—222no—
1250C4—222no—
1251C4—442no—
1252C4—442no—
1253C4—442no—
1254C4—442no—
1255C2—24no—
1256C2—24no—
1257C2—42no—
1258C2—224no—
1259C2—224no—
1260C2—224no—
1261C2—442no—
1262C2C2×D11×#11711yescharacteristic
1263C2D11×#51811yescharacteristic
1264C2C2×#1062307611yescharacteristic
1265C2#1308229812yes—
1266C2#1308230012yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2342C2
socle, cosocleC23×C11C25
prime radicalC25×D11C22
hypercenter#2342D11
hypocenterC11#34176
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #13071468C2semidirect
3. #13071467C2semidirect
4. #13071466C2semidirect
5. #13071465C2semidirect
6. #13071464C2semidirect
7. #13071463C2semidirect
8. #13071462C2semidirect
9. #13071461C2semidirect
10. #13071460C2semidirect
11. #13071459C2semidirect
12. #13071458C2semidirect
13. #13071227C2semidirect
14. #13071210C2semidirect
15. #13071210C2semidirect
16. #13070998C2semidirect
17. #13070997C2semidirect
18. #13070996C2semidirect
19. #13070995C2semidirect
22. #13070968C2semidirect
23. C11×#2342C2semidirect
27. C2×C11×#117C22semidirect
36. C2×#66979C22semidirect
37. C2×#66945C22semidirect
38. C2×C22⋊C4×D11C4semidirect
51. C2×#66930C22semidirect
52. C2×#66930C22semidirect
53. C2×#66925C22semidirect
54. C11×#388C22semidirect
55. C11×#388C22semidirect
56. C11×#385C22semidirect
57. C11×#381C22semidirect
58. C11×#380C22semidirect
60. C4×C11×C22⋊C4C22semidirect
61. C4×C11×C22⋊C4C22semidirect
63. #10622825C22semidirect
64. #10622824C22semidirect
65. #10622823C22semidirect
66. C4×C22⋊Dic11C22semidirect
67. C4×C22⋊Dic11C22semidirect
68. #10622603C22semidirect
69. #10622603C22semidirect
70. #10622602C22semidirect
71. #10622602C22semidirect
72. #10622600C22semidirect
73. #10622600C22semidirect
74. #10622600C22semidirect
85. #10622564C22semidirect
86. #10622564C22semidirect
87. #10622563C22semidirect
88. #10622559C22semidirect
89. #10622558C22semidirect
90. #10622558C22semidirect
91. #10622557C22semidirect
92. #10622557C22semidirect
93. #10622556C22semidirect
94. #10622556C22semidirect
95. #10622555C22semidirect
96. #10622555C22semidirect
97. C22⋊C4×Dic11C22semidirect
98. C22⋊C4×Dic11C22semidirect
99. C22⋊C4×Dic11C22semidirect
100. C22⋊C4×Dic11C22semidirect
101. #10622553C22semidirect
102. #10622553C22semidirect
103. C4×(C2×D11)⋊C4C22semidirect
104. C4×(C2×D11)⋊C4C22semidirect
105. C4×(C2×D11)⋊C4C22semidirect
106. C4×(C2×D11)⋊C4C22semidirect
107. C4×(C2×D11)⋊C4C22semidirect
108. #10622283C22semidirect
109. #10622283C22semidirect
110. #10622282C22semidirect
111. #10622282C22semidirect
112. #10622281C22semidirect
113. #10622281C22semidirect
114. #10622280C22semidirect
115. #10622280C22semidirect
116. #10622280C22semidirect
117. #10622279C22semidirect
118. #10622279C22semidirect
119. #10622279C22semidirect
120. #10622279C22semidirect
121. #10622279C22semidirect
122. #10622277C22semidirect
123. #10622277C22semidirect
145. C22×C4×D11C2×C4semidirect
146. C22×C4×D11C2×C4semidirect
158. C2×C11×C4⋊C4C23semidirect
159. C2×C11×C4⋊C4C23semidirect
161. C2×C11×C22⋊C4C2×C4semidirect
173. C2×C42×C11C23semidirect
174. C2×C42×C11C23semidirect
176. C2×C22⋊Dic11C2×C4semidirect
190. C2×(C2×D11)⋊C4C2×C4semidirect
191. C2×(C2×D11)⋊C4C2×C4semidirect
215. C2×C4⋊Dic11C23semidirect
216. C2×C4⋊Dic11C23semidirect
217. C2×Dic11⋊C4C23semidirect
218. C2×Dic11⋊C4C23semidirect
219. C2×Dic11⋊C4C23semidirect
220. C2×Dic11⋊C4C23semidirect
221. C2×C4×Dic11C23semidirect
222. C2×C4×Dic11C23semidirect
223. C2×C4×Dic11C23semidirect
224. C2×C4×Dic11C23semidirect
225. C2×C4×Dic11C23semidirect
226. C2×C4×Dic11C23semidirect
234. C22⋊C4×D11C2×C4semidirect
235. C22⋊C4×D11C2×C4semidirect
236. C22⋊C4×D11C2×C4semidirect
237. C22⋊C4×D11C2×C4semidirect
238. C22⋊C4×D11C2×C4semidirect
239. C22⋊C4×D11C2×C4semidirect
243. C11×#95C23semidirect
244. C11×#95C23semidirect
245. C11×#95C23semidirect
246. C11×#95C23semidirect
247. C11⋊#95C23semidirect
248. C11⋊#95C23semidirect
249. C11⋊#95C23semidirect
250. C11⋊#95C23semidirect
251. C11⋊#95C23semidirect
252. C11⋊#95C23semidirect
253. C11⋊#95C23semidirect
254. C11⋊#95C23semidirect
255. C11⋊#95C23semidirect
256. C11⋊#95C23semidirect
257. C11⋊#95C23semidirect
258. C11⋊#95C23semidirect
439. #2342D11semidirect
514. C22×D11#117semidirect
590. C2×#117C2×D11semidirect
626. #388C2×D11semidirect
627. #388C2×D11semidirect
635. #385C2×D11semidirect
641. #381C2×D11semidirect
651. #380C2×D11semidirect
680. C4×C22⋊C4C2×D11semidirect
681. C4×C22⋊C4C2×D11semidirect
790. C2×C4⋊C4C22×D11semidirect
791. C2×C4⋊C4C22×D11semidirect
844. C2×C22⋊C4C4×D11semidirect
862. C2×C42C22×D11semidirect
863. C2×C42C22×D11semidirect
876. #95C22×D11semidirect
877. #95C22×D11semidirect
878. #95C22×D11semidirect
879. #95C22×D11semidirect
1059. C11#34176semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊C4×D112
#130714682
#130714672
#130714662
#130714652
#130714642
#130714632
#130714622
#130714612
#130714602
#130714592
#130714582
#130712272
#130712102
#130709982
#130709972
#130709962
#130709952
C2×#106225682
D11×#3792
#130709682
C11×#23422
#3417611