Finite Group Databasebeta

← #14914773

Subgroups — #14914773

Order 2816.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623047C211yesmaximal, characteristic
2#13071582C211yesmaximal, characteristic, complemented
3#13071578C211yesmaximal, characteristic, complemented
4#13071578C211yesmaximal, characteristic, complemented
5#13071576C211yesmaximal, characteristic, complemented
6#13071574C211yesmaximal, characteristic, complemented
7#13071570C211yesmaximal, characteristic, complemented
8#13071570C211yesmaximal, characteristic, complemented
9#13071568C211yesmaximal, characteristic, complemented
10#13071478C211yesmaximal, characteristic
11#13071476C211yesmaximal, characteristic
12#13071474C211yesmaximal, characteristic
13#13071474C211yesmaximal, characteristic
14#13071472C211yesmaximal, characteristic
15#13071470C211yesmaximal, characteristic
16#13071470C211yesmaximal, characteristic
17#13071266C211yesmaximal, characteristic, complemented
18#13071265C211yesmaximal, characteristic, complemented
19#13071265C211yesmaximal, characteristic, complemented
20#13071264C211yesmaximal, characteristic, complemented
21#13071235C211yesmaximal, characteristic
22#13071201C211yesmaximal, characteristic
23#13071095C211yesmaximal, characteristic
24#13071092C211yesmaximal, characteristic, complemented
25#13071089C211yesmaximal, characteristic, complemented
26#13071089C211yesmaximal, characteristic, complemented
27#13071088C211yesmaximal, characteristic, complemented
28C2×#10622259C211yesmaximal, characteristic
29#13070971C211yesmaximal, characteristic
30C4×#66930C211yesmaximal, characteristic
31C11×#2343C211yesmaximal, characteristic
32C23×Dic22C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×#66979C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37#10623047C4116yescomplemented
38C2×#66940C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66930C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×#66930C2211yescharacteristic
47C2×#66930C2211yescharacteristic
48C2×C4×Dic22C2211yescharacteristic
49C2×C4×Dic22C2211yescharacteristic
50C2×C4×Dic22C2211yescharacteristic
51C2×C4×Dic22C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#383C2211yescharacteristic
59C11×#382C2211yescharacteristic
60C11×#381C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C11×#376C2211yescharacteristic
65C2×C11×#95C2211yescharacteristic
66#10622824C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74#10622594C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622594C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622590C2211yescharacteristic
83#10622590C2211yescharacteristic
84#10622589C2211yescharacteristic
85#10622589C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622563C2211yescharacteristic
95#10622563C2211yescharacteristic
96#10622559C2211yescharacteristic
97#10622559C2211yescharacteristic
98#10622556C2211yescharacteristic
99#10622556C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104#10622550C2211yescharacteristic
105#10622549C2211yescharacteristic
106C4×C4⋊Dic11C2211yescharacteristic
107#10622546C2211yescharacteristic
108#10622546C2211yescharacteristic
109#10622546C2211yescharacteristic
110#10622546C2211yescharacteristic
111#10622545C2211yescharacteristic
112#10622545C2211yescharacteristic
113#10622545C2211yescharacteristic
114C4×Dic11⋊C4C2211yescharacteristic
115C4×Dic11⋊C4C2211yescharacteristic
116C4×Dic11⋊C4C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C4×Dic11⋊C4C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123C42×Dic11C2211yescharacteristic
124#10622268C2211yescharacteristic
125#10622268C2211yescharacteristic
126#10622268C2211yescharacteristic
127#10622268C2211yescharacteristic
128#10622267C2211yescharacteristic
129#10622267C2211yescharacteristic
130#10622267C2211yescharacteristic
131#10622267C2211yescharacteristic
132#10622266C2211yescharacteristic
133#10622266C2211yescharacteristic
134#10622266C2211yescharacteristic
135#10622266C2211yescharacteristic
136#10622265C2211yescharacteristic
137#10622265C2211yescharacteristic
138#10622265C2211yescharacteristic
139#10622265C2211yescharacteristic
140#10622264C2211yescharacteristic
141#10622264C2211yescharacteristic
142#10622264C2211yescharacteristic
143#10622264C2211yescharacteristic
144#10622264C2211yescharacteristic
145#10622264C2211yescharacteristic
146#10622263C2211yescharacteristic
147#10622263C2211yescharacteristic
148#10622263C2211yescharacteristic
149#10622263C2211yescharacteristic
150#10622263C2211yescharacteristic
151#10622263C2211yescharacteristic
152#10622262C2211yescharacteristic
153#10622262C2211yescharacteristic
154#10622262C2211yescharacteristic
155#10622262C2211yescharacteristic
156#10622262C2211yescharacteristic
157#10622262C2211yescharacteristic
158#10622262C2211yescharacteristic
159#10622262C2211yescharacteristic
160#10622262C2211yescharacteristic
161#10622262C2211yescharacteristic
162#10622261C2211yescharacteristic
163#10622261C2211yescharacteristic
164#10622261C2211yescharacteristic
165#10622261C2211yescharacteristic
166#10622261C2211yescharacteristic
167#10622261C2211yescharacteristic
168#10622260C2211yescharacteristic
169#10622260C2211yescharacteristic
170#10622260C2211yescharacteristic
171#10622260C2211yescharacteristic
172#10622259C2211yescharacteristic
173#10622259C2211yescharacteristic
174#10622259C2211yescharacteristic
175#10622259C2211yescharacteristic
176#10622259C2211yescharacteristic
177#10622259C2211yescharacteristic
178#10622259C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×Dic22—24no—
196C22×Dic22—24no—
197C22×Dic22C2×C418yes—
198C22×Dic22C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×#117C2×C418yes—
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223#66979C2×C418yes—
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×Dic11⋊C4—24no—
231C2×Dic11⋊C4C2311yescharacteristic
232C2×Dic11⋊C4C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×C4×Dic11—24no—
256C2×C4×Dic11C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
263C2×C4×Dic11C2311yescharacteristic
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286#66940C2×C418yescomplemented
287#66940C2×C418yescomplemented
288#66940C2×C418yescomplemented
289#66940C2×C418yescomplemented
290#66930—24no—
291#66930—24no—
292#66930C2×C418yes—
293#66930C2×C418yes—
294#66930C2×C418yes—
295#66930C2×C418yes—
296C4×Dic22C2×C418yescomplemented
297C4×Dic22C2×C418yescomplemented
298C4×Dic22C2×C418yescomplemented
299C4×Dic22C2×C418yescomplemented
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34254—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11C22×C414yes—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11C22×C414yes—
398C22×Dic11C22×C414yes—
399C22×Dic11#4114yes—
400C22×Dic11#4114yes—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×Dic22—232no—
418C2×Dic22—22no—
419C2×Dic22—22no—
420C2×Dic22—22no—
421C2×Dic22—22no—
422C2×Dic22—22no—
423C2×Dic22—22no—
424C2×Dic22—22no—
425C2×Dic22—22no—
426C2×Dic22C22×C414yes—
427C2×Dic22C22×C414yes—
428C2×Dic22C22×C414yes—
429C2×Dic22C22×C414yes—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4C22×C414yes—
435C11×C4⋊C4C22×C414yes—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4C22×C414yes—
439C11×C22⋊C4C22×C414yes—
440C42×C11—22no—
441C42×C11—41no—
442C42×C11—41no—
443C42×C11—41no—
444C42×C11C22×C414yes—
445C42×C11C22×C414yes—
446C22⋊Dic11—22no—
447C22⋊Dic11—22no—
448C22⋊Dic11C22×C414yes—
449C22⋊Dic11C22×C414yes—
450C4⋊Dic11—22no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11C22×C414yes—
455C4⋊Dic11C22×C414yes—
456Dic11⋊C4—22no—
457Dic11⋊C4—22no—
458Dic11⋊C4—22no—
459Dic11⋊C4—22no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4C22×C414yes—
473Dic11⋊C4C22×C414yes—
474Dic11⋊C4C22×C414yes—
475Dic11⋊C4C22×C414yes—
476Dic11⋊C4C22×C414yes—
477Dic11⋊C4C22×C414yes—
478Dic11⋊C4C22×C414yes—
479Dic11⋊C4C22×C414yes—
480C4×Dic11—22no—
481C4×Dic11—22no—
482C4×Dic11—22no—
483C4×Dic11—22no—
484C4×Dic11—22no—
485C4×Dic11—22no—
486C4×Dic11—22no—
487C4×Dic11—22no—
488C4×Dic11—22no—
489C4×Dic11—22no—
490C4×Dic11—22no—
491C4×Dic11—41no—
492C4×Dic11—41no—
493C4×Dic11—41no—
494C4×Dic11—41no—
495C4×Dic11—41no—
496C4×Dic11—41no—
497C4×Dic11—41no—
498C4×Dic11—41no—
499C4×Dic11—41no—
500C4×Dic11C22×C414yes—
501C4×Dic11C22×C414yes—
502C4×Dic11C22×C414yes—
503C4×Dic11C22×C414yes—
504C4×Dic11C22×C414yes—
505C4×Dic11C22×C414yes—
506C4×Dic11C22×C414yes—
507C4×Dic11C22×C414yes—
508C4×Dic11C22×C414yes—
509C4×Dic11C22×C414yes—
510C2×#519—111no—
511#2356—111no—
512#2356—111no—
513#2356—111no—
514#2356—111no—
515#2355—111no—
516#2355—111no—
517#2355—111no—
518#2355—111no—
519#2343—111no—
520#2343—111no—
521#2343—111no—
522#2343—111no—
523#2343—111no—
524#2343—111no—
525#2343—111no—
526#2343D1111yescharacteristic
527#2320—111no—
528#2320—111no—
529#2320—111no—
530#2320—111no—
531#2317—111no—
532#2310—111no—
533#2296—111no—
534#2295—111no—
535#2295—111no—
536#2295—111no—
537#2295—111no—
538C2×#391—111no—
539#2274—111no—
540C4×#117—111no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11C23×C412yes—
546C23×C11C2×#4112yes—
547C23×C11C2×#4112yes—
548C23×C11C2511yescharacteristic
549C2×C4×C11—28no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—44no—
586C2×C4×C11—82no—
587C2×C4×C11C23×C412yes—
588C2×C4×C11C23×C412yes—
589C2×C4×C11C23×C412yes—
590C2×C4×C11C23×C412yes—
591C2×C4×C11C23×C412yes—
592C2×C4×C11C23×C412yes—
593C2×C4×C112−1+412yes—
594C2×Dic11—28no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—44no—
631C2×Dic11—82no—
632C2×Dic11#117116yes—
633C2×Dic11C23×C412yes—
634C2×Dic11C23×C412yes—
635C2×Dic11C23×C412yes—
636C2×Dic11C23×C412yes—
637C2×Dic11C23×C412yes—
638C2×Dic11C23×C412yes—
639C2×Dic11C23×C412yes—
640C2×Dic11C23×C412yes—
641C2×Dic11C2×#4112yes—
642C2×Dic11C2×#4112yes—
643C2×Dic11C2×#4112yes—
644C2×Dic11C2×#4112yes—
645C2×Dic112−1+412yes—
646Dic22—28no—
647Dic22—28no—
648Dic22—28no—
649Dic22—28no—
650C23×Q8—111no—
651#519—1116no—
652C2×C4×Q8—111no—
653C2×C4×Q8—111no—
654C2×C4×Q8—111no—
655C2×C4×Q8—111no—
656C2×C4×Q8—111no—
657C2×C4×Q8—111no—
658C2×C4×Q8—111no—
659C2×C4×Q8—111no—
660C2×#117—111no—
661C2×#117—111no—
662C2×#117—111no—
663C2×#117—111no—
664C2×#117—111no—
665C2×#117—111no—
666C2×#117—111no—
667C2×#117C2×D1111yescharacteristic
668C22×C4⋊C4—111no—
669C22×C42—111no—
670#391—111no—
671#391—111no—
672#391—111no—
673#391—111no—
674#391—111no—
675#391—111no—
676#391—111no—
677#391—111no—
678#391—111no—
679#391—111no—
680#391—111no—
681#391—111no—
682#391—111no—
683#391—111no—
684#391—111no—
685#391—111no—
686#389—111no—
687#389—111no—
688#389—111no—
689#389—111no—
690#389—111no—
691#389—111no—
692#389—111no—
693#389—111no—
694#387—111no—
695#387—111no—
696#387—111no—
697#387—111no—
698#387—111no—
699#387—111no—
700#387—111no—
701#387—111no—
702#387—111no—
703#387—111no—
704#387—111no—
705#387—111no—
706#387—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387—111no—
722#387C2×D1111yescharacteristic
723#387C2×D1111yescharacteristic
724#387C2×D1111yescharacteristic
725#387C2×D1111yescharacteristic
726#385—111no—
727#385—111no—
728#385—111no—
729#385—111no—
730#385—111no—
731#385—111no—
732#385C2×D1111yescharacteristic
733#385C2×D1111yescharacteristic
734#384—111no—
735#384—111no—
736#383—111no—
737#383—111no—
738#383—111no—
739#383—111no—
740#383—111no—
741#383—111no—
742#383—111no—
743#383C2×D1111yescharacteristic
744#382—111no—
745#382—111no—
746#382—111no—
747#382—111no—
748#382—111no—
749#382—111no—
750#382—111no—
751#382—111no—
752#382—111no—
753#382C2×D1111yescharacteristic
754#381—111no—
755#381—111no—
756#381—111no—
757#381C2×D1111yescharacteristic
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4C2×D1111yescharacteristic
782C4×C22⋊C4—111no—
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785C4×C22⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788C4×C22⋊C4C2×D1111yescharacteristic
789C4×C22⋊C4C2×D1111yescharacteristic
790#376—111no—
791#376—111no—
792#376—111no—
793#376—111no—
794#376—111no—
795#376—111no—
796#376—111no—
797#376—111no—
798#376—111no—
799#376C2×D1111yescharacteristic
800C2×#95—111no—
801C2×#95—111no—
802C2×#95—111no—
803C2×#95C2×D1111yescharacteristic
804C43—111no—
805C43—111no—
806C22×C11—22no—
807C22×C11—22no—
808C22×C11—22no—
809C22×C11—22no—
810C22×C11—22no—
811C22×C11—22no—
812C22×C11C2×#11714yes—
813C22×C11C24×C411yescharacteristic
814C22×C11C22×#4111yescharacteristic
815C22×C11C22×#4111yescharacteristic
816C22×C11C2×2−1+411yescharacteristic
817C22×C11C2×2−1+411yescharacteristic
818C22×C11#58511yescharacteristic
819C22×C11#58511yescharacteristic
820C4×C11—22no—
821C4×C11—22no—
822C4×C11—22no—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—41no—
828C4×C11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834Dic11—22no—
835Dic11—22no—
836Dic11—22no—
837Dic11—22no—
838Dic11—22no—
839Dic11—22no—
840Dic11—22no—
841Dic11—41no—
842Dic11—41no—
843Dic11—41no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847Dic11—41no—
848Dic11C2×#11714yes—
849Dic11C2×#11714yes—
850C22×Q8—118no—
851C22×Q8—111no—
852C22×Q8—111no—
853C22×Q8—111no—
854C22×Q8—111no—
855C22×Q8—224no—
856C22×Q8—224no—
857C23×C4—111no—
858C23×C4—111no—
859C23×C4—111no—
860C23×C4—111no—
861C23×C4C22×D1111yescharacteristic
862C23×C4C22×D1111yescharacteristic
863C23×C4C22×D1111yescharacteristic
864C4×Q8—118no—
865C4×Q8—118no—
866C4×Q8—118no—
867C4×Q8—118no—
868C4×Q8—118no—
869C4×Q8—118no—
870C4×Q8—118no—
871C4×Q8—118no—
872#117—118no—
873#117—118no—
874#117—118no—
875#117—118no—
876#117—118no—
877#117—224no—
878#117—224no—
879#117C4×D1118yes—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—224no—
911C2×C4⋊C4C22×D1111yescharacteristic
912C2×C4⋊C4C22×D1111yescharacteristic
913C2×C4⋊C4C22×D1111yescharacteristic
914C2×C4⋊C4C22×D1111yescharacteristic
915C2×C4⋊C4C22×D1111yescharacteristic
916C2×C4⋊C4C22×D1111yescharacteristic
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—111no—
920C2×C22⋊C4—111no—
921C2×C22⋊C4C22×D1111yescharacteristic
922C2×C22⋊C4C22×D1111yescharacteristic
923C2×C22⋊C4C22×D1111yescharacteristic
924C2×C22⋊C4C22×D1111yescharacteristic
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—111no—
934C2×C42—111no—
935C2×C42—111no—
936C2×C42—111no—
937C2×C42—111no—
938C2×C42—111no—
939C2×C42—111no—
940C2×C42—111no—
941C2×C42—111no—
942C2×C42—111no—
943C2×C42—111no—
944C2×C42—111no—
945C2×C42—111no—
946C2×C42—111no—
947C2×C42—111no—
948C2×C42—111no—
949C2×C42—111no—
950C2×C42—111no—
951C2×C42—111no—
952C2×C42—111no—
953C2×C42—111no—
954C2×C42—111no—
955C2×C42—224no—
956C2×C42C22×D1111yescharacteristic
957C2×C42C22×D1111yescharacteristic
958C2×C42C22×D1111yescharacteristic
959C2×C42C22×D1111yescharacteristic
960C2×C42C22×D1111yescharacteristic
961C2×C42C22×D1111yescharacteristic
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95C22×D1111yescharacteristic
1011#95C22×D1111yescharacteristic
1012#95C22×D1111yescharacteristic
1013#95C22×D1111yescharacteristic
1014#95C22×D1111yescharacteristic
1015#95C22×D1111yescharacteristic
1016#95C22×D1111yescharacteristic
1017#95C22×D1111yescharacteristic
1018#95C22×D1111yescharacteristic
1019#95C22×D1111yescharacteristic
1020#95C22×D1111yescharacteristic
1021#95C22×D1111yescharacteristic
1022#95C22×D1111yescharacteristic
1023#95C22×D1111yescharacteristic
1024#95C22×D1111yescharacteristic
1025#95C22×D1111yescharacteristic
1026C2×C11—24no—
1027C2×C11C22×#11711yescharacteristic
1028C2×C11C4×2−1+411yescharacteristic
1029C2×C11C4×2−1+411yescharacteristic
1030C2×C11#349511yescharacteristic
1031C2×C11#349511yescharacteristic
1032C2×C11#350911yescharacteristic
1033C2×C11#351011yescharacteristic
1034C24C23×D1111yescharacteristic
1035C2×Q8—114no—
1036C2×Q8—114no—
1037C2×Q8—114no—
1038C2×Q8—114no—
1039C2×Q8—2232no—
1040C2×Q8—222no—
1041C2×Q8—222no—
1042C2×Q8—222no—
1043C2×Q8—222no—
1044C2×Q8—222no—
1045C2×Q8—222no—
1046C2×Q8—222no—
1047C2×Q8—222no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—114no—
1057C22×C4—114no—
1058C22×C4—114no—
1059C22×C4—111no—
1060C22×C4—111no—
1061C22×C4—114no—
1062C22×C4—111no—
1063C22×C4—111no—
1064C22×C4—111no—
1065C22×C4—111no—
1066C22×C4—111no—
1067C22×C4—111no—
1068C22×C4—111no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—111no—
1075C22×C4—111no—
1076C22×C4—222no—
1077C22×C4—222no—
1078C22×C4—222no—
1079C22×C4—222no—
1080C22×C4—222no—
1081C22×C4—441no—
1082C22×C4—441no—
1083C22×C4—441no—
1084C22×C4C2×C4×D1114yes—
1085C22×C4C23×D1111yescharacteristic
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1111yescharacteristic
1091C22×C4C23×D1111yescharacteristic
1092C22×C4C23×D1111yescharacteristic
1093C22×C4C23×D1111yescharacteristic
1094C22×C4C23×D1111yescharacteristic
1095C22×C4C23×D1111yescharacteristic
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1111yescharacteristic
1098C22×C4C23×D1111yescharacteristic
1099C4⋊C4—22no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—114no—
1104C4⋊C4—114no—
1105C4⋊C4—114no—
1106C4⋊C4—114no—
1107C4⋊C4—114no—
1108C4⋊C4—114no—
1109C4⋊C4—114no—
1110C4⋊C4—114no—
1111C4⋊C4—114no—
1112C4⋊C4—114no—
1113C4⋊C4—222no—
1114C4⋊C4—222no—
1115C4⋊C4—222no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—441no—
1125C4⋊C4—441no—
1126C4⋊C4—441no—
1127C4⋊C4—441no—
1128C4⋊C4—441no—
1129C4⋊C4—441no—
1130C4⋊C4—441no—
1131C4⋊C4—441no—
1132C4⋊C4—441no—
1133C4⋊C4C2×C4×D1114yes—
1134C4⋊C4C2×C4×D1114yes—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—114no—
1138C22⋊C4—114no—
1139C22⋊C4—222no—
1140C22⋊C4—222no—
1141C22⋊C4C2×C4×D1114yes—
1142C22⋊C4C2×C4×D1114yes—
1143C42—22no—
1144C42—41no—
1145C42—41no—
1146C42—41no—
1147C42—114no—
1148C42—114no—
1149C42—114no—
1150C42—114no—
1151C42—114no—
1152C42—114no—
1153C42—114no—
1154C42—114no—
1155C42—114no—
1156C42—114no—
1157C42—222no—
1158C42—222no—
1159C42—222no—
1160C42—222no—
1161C42—222no—
1162C42—222no—
1163C42—222no—
1164C42—222no—
1165C42—222no—
1166C42—222no—
1167C42—222no—
1168C42—441no—
1169C42—441no—
1170C42—441no—
1171C42—441no—
1172C42—441no—
1173C42—441no—
1174C42—441no—
1175C42—441no—
1176C42—441no—
1177C42C2×C4×D1114yes—
1178C42C2×C4×D1114yes—
1179C11#3425411yescharacteristic, complemented, Sylow
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23C22×C4×D1112yes—
1185C23#41×D1112yes—
1186C23#41×D1112yes—
1187C23C24×D1111yescharacteristic
1188Q8—228no—
1189Q8—228no—
1190Q8—228no—
1191Q8—228no—
1192C2×C4—28no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—44no—
1229C2×C4—82no—
1230C2×C4—1116no—
1231C2×C4—112no—
1232C2×C4—112no—
1233C2×C4—112no—
1234C2×C4—112no—
1235C2×C4—112no—
1236C2×C4—112no—
1237C2×C4—112no—
1238C2×C4—112no—
1239C2×C4—112no—
1240C2×C4—112no—
1241C2×C4—112no—
1242C2×C4—112no—
1243C2×C4—112no—
1244C2×C4—228no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—221no—
1252C2×C4—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—221no—
1263C2×C4—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—221no—
1267C2×C4—221no—
1268C2×C4—221no—
1269C2×C4—221no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—444no—
1281C2×C4—882no—
1282C2×C4C22×C4×D1112yes—
1283C2×C4C22×C4×D1112yes—
1284C2×C4C22×C4×D1112yes—
1285C2×C4C22×C4×D1112yes—
1286C2×C4C22×C4×D1112yes—
1287C2×C4C22×C4×D1112yes—
1288C2×C4#6704312yes—
1289C22—22no—
1290C22—22no—
1291C22—22no—
1292C22—22no—
1293C22—22no—
1294C22—22no—
1295C22D11×#11714yes—
1296C22C23×C4×D1111yescharacteristic
1297C22C2×#41×D1111yescharacteristic
1298C22C2×#41×D1111yescharacteristic
1299C22C2×#6704311yescharacteristic
1300C22#1062345311yescharacteristic
1301C22#1062345511yescharacteristic
1302C22D11×2−1+411yescharacteristic
1303C4—22no—
1304C4—22no—
1305C4—22no—
1306C4—22no—
1307C4—22no—
1308C4—22no—
1309C4—22no—
1310C4—41no—
1311C4—41no—
1312C4—41no—
1313C4—41no—
1314C4—41no—
1315C4—41no—
1316C4—41no—
1317C4—114no—
1318C4—114no—
1319C4—222no—
1320C4—222no—
1321C4—222no—
1322C4—222no—
1323C4—222no—
1324C4—222no—
1325C4—222no—
1326C4—441no—
1327C4—441no—
1328C4—441no—
1329C4—441no—
1330C4—441no—
1331C4—441no—
1332C4—441no—
1333C2—24no—
1334C2C2×D11×#11711yescharacteristic
1335C2C4×#6704311yescharacteristic
1336C2#1308182711yescharacteristic
1337C2#1308235511yescharacteristic
1338C2#1308235911yescharacteristic
1339C2#1308249411yescharacteristic
1340C2#1308250411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2343C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenter#2343D11
hypocenterC11#34254
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #13071582C2semidirect
3. #13071578C2semidirect
4. #13071578C2semidirect
5. #13071576C2semidirect
6. #13071574C2semidirect
7. #13071570C2semidirect
8. #13071570C2semidirect
9. #13071568C2semidirect
17. #13071266C2semidirect
18. #13071265C2semidirect
19. #13071265C2semidirect
20. #13071264C2semidirect
24. #13071092C2semidirect
25. #13071089C2semidirect
26. #13071089C2semidirect
27. #13071088C2semidirect
37. #10623047C4semidirect
286. #66940C2×C4semidirect
287. #66940C2×C4semidirect
288. #66940C2×C4semidirect
289. #66940C2×C4semidirect
296. C4×Dic22C2×C4semidirect
297. C4×Dic22C2×C4semidirect
298. C4×Dic22C2×C4semidirect
299. C4×Dic22C2×C4semidirect
1179. C11#34254semidirect

Maximal subgroups

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

subgroupindex
C2×#106230472
#130715822
#130715782
#130715762
#130715742
#130715702
#130715682
#130714782
#130714762
#130714742
#130714722
#130714702
#130712662
#130712652
#130712642
#130712352
#130712012
#130710952
#130710922
#130710892
#130710882
C2×#106222592
#130709712
C4×#669302
C11×#23432
#3425411