Finite Group Databasebeta

← #14912911

Subgroups — #14912911

Order 2816.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623232C211yesmaximal, characteristic
2#13071420C211yesmaximal, characteristic, complemented
3#13071419C211yesmaximal, characteristic, complemented
4#13071415C211yesmaximal, characteristic, complemented
5#13071414C211yesmaximal, characteristic, complemented
6#13071393C211yesmaximal, characteristic
7#13071392C211yesmaximal, characteristic
8#13071386C211yesmaximal, characteristic
9#13071354C211yesmaximal, characteristic, complemented
10#13071331C211yesmaximal, characteristic, complemented
11#13071295C211yesmaximal, characteristic
12#13071291C211yesmaximal, characteristic
13#13071265C211yesmaximal, characteristic, complemented
14#13071264C211yesmaximal, characteristic, complemented
15#13071220C211yesmaximal, characteristic
16#13071187C211yesmaximal, characteristic, complemented
17#13071175C211yesmaximal, characteristic, complemented
18#13071173C211yesmaximal, characteristic, complemented
19#13071173C211yesmaximal, characteristic, complemented
20#13071173C211yesmaximal, characteristic, complemented
21#13071171C211yesmaximal, characteristic, complemented
22#13071170C211yesmaximal, characteristic
23#13071170C211yesmaximal, characteristic
24#13071170C211yesmaximal, characteristic
25#126×Dic11C211yesmaximal, characteristic
26#13071148C211yesmaximal, characteristic
27#13071148C211yesmaximal, characteristic
28C4×#66940C211yesmaximal, characteristic, complemented
29C4×#66940C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic
31C11×#2334C211yesmaximal, characteristic
32C2×C11×#126C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34#10623232C4116yescomplemented
35C2×#66943C2211yescharacteristic
36C2×#66942C2211yescharacteristic
37C2×#66942C2211yescharacteristic
38C2×#66942C2211yescharacteristic
39C2×#66941C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66940C2211yescharacteristic
43C2×#66940C2211yescharacteristic
44C2×#66932C2211yescharacteristic
45C2×#66932C2211yescharacteristic
46C2×#66932C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66930C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66923C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#389C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#382C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71#10622594C2211yescharacteristic
72#10622594C2211yescharacteristic
73#10622594C2211yescharacteristic
74#10622591C2211yescharacteristic
75#10622591C2211yescharacteristic
76#10622591C2211yescharacteristic
77#10622591C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80#10622591C2211yescharacteristic
81#10622590C2211yescharacteristic
82#10622589C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93#10622586C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622558C2211yescharacteristic
106#10622558C2211yescharacteristic
107#10622558C2211yescharacteristic
108#10622557C2211yescharacteristic
109#10622557C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622555C2211yescharacteristic
112#10622555C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119#10622550C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C42×Dic11C2211yescharacteristic
133C42×Dic11C2211yescharacteristic
134C42×Dic11C2211yescharacteristic
135C42×Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138#10622541C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622268C2211yescharacteristic
141#10622268C2211yescharacteristic
142#10622268C2211yescharacteristic
143#10622267C2211yescharacteristic
144#10622267C2211yescharacteristic
145#10622267C2211yescharacteristic
146#10622267C2211yescharacteristic
147#10622267C2211yescharacteristic
148#10622267C2211yescharacteristic
149#10622266C2211yescharacteristic
150#10622266C2211yescharacteristic
151#10622266C2211yescharacteristic
152#10622266C2211yescharacteristic
153#10622265C2211yescharacteristic
154#10622265C2211yescharacteristic
155#10622265C2211yescharacteristic
156#10622265C2211yescharacteristic
157#10622264C2211yescharacteristic
158#10622264C2211yescharacteristic
159#10622264C2211yescharacteristic
160#10622263C2211yescharacteristic
161#10622263C2211yescharacteristic
162#10622263C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×Dic22C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C11×#126C2×C418yes—
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×C4×Dic11—24no—
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
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293#66943C2×C418yescomplemented
294#66942C2×C418yescomplemented
295#66942C2×C418yescomplemented
296#66942C2×C418yescomplemented
297#66941C2×C418yescomplemented
298#66940—24no—
299#66940—24no—
300#66940—24no—
301#66940C2×C418yescomplemented
302#66932C2×C418yes—
303#66932C2×C418yes—
304#66932C2×C418yes—
305#66931C2×C418yes—
306#66931C2×C418yes—
307#66930—24no—
308#66930C2×C418yes—
309#66923C2×C418yescomplemented
310C4×Dic22—24no—
311C4×Dic22C2×C418yescomplemented
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
364C4×#541—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C22×C4×C11—22no—
367C22×C4×C11—41no—
368C22×C4×C11—41no—
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
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×Dic11—22no—
384C22×Dic11—22no—
385C22×Dic11—22no—
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11C22×C414yes—
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C2×Dic22—22no—
406C2×Dic22—22no—
407C2×Dic22—22no—
408C2×Dic22—22no—
409C2×Dic22C22×C414yes—
410C2×Dic22C22×C414yes—
411C11×C4⋊C4—22no—
412C11×C4⋊C4—22no—
413C11×C4⋊C4—22no—
414C11×C4⋊C4—41no—
415C11×C4⋊C4—41no—
416C11×C4⋊C4—41no—
417C11×C4⋊C4—41no—
418C11×C4⋊C4C22×C414yes—
419C11×C4⋊C4C22×C414yes—
420C11×C4⋊C4C22×C414yes—
421C11×C22⋊C4—22no—
422C11×C22⋊C4—41no—
423C11×C22⋊C4—41no—
424C11×C22⋊C4C22×C414yes—
425C11×C22⋊C4C22×C414yes—
426C11×C22⋊C4C22×C414yes—
427C42×C11—22no—
428C42×C11—41no—
429C42×C11—41no—
430C42×C11—41no—
431C42×C11—41no—
432C42×C11C22×C414yes—
433C22⋊Dic11—22no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11C22×C414yes—
437C22⋊Dic11C22×C414yes—
438C22⋊Dic11C22×C414yes—
439C4⋊Dic11—22no—
440C4⋊Dic11—41no—
441C4⋊Dic11—41no—
442C4⋊Dic11C22×C414yes—
443C4⋊Dic11C22×C414yes—
444C4⋊Dic11C22×C414yes—
445C4⋊Dic11C22×C414yes—
446C4⋊Dic11C22×C414yes—
447Dic11⋊C4—22no—
448Dic11⋊C4—22no—
449Dic11⋊C4—22no—
450Dic11⋊C4—22no—
451Dic11⋊C4—22no—
452Dic11⋊C4—22no—
453Dic11⋊C4—22no—
454Dic11⋊C4—22no—
455Dic11⋊C4—22no—
456Dic11⋊C4—22no—
457Dic11⋊C4—41no—
458Dic11⋊C4—41no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
462Dic11⋊C4—41no—
463Dic11⋊C4C22×C414yes—
464Dic11⋊C4C22×C414yes—
465Dic11⋊C4C22×C414yes—
466Dic11⋊C4C22×C414yes—
467Dic11⋊C4C22×C414yes—
468Dic11⋊C4C22×C414yes—
469Dic11⋊C4C22×C414yes—
470Dic11⋊C4C22×C414yes—
471Dic11⋊C4C22×C414yes—
472Dic11⋊C4C22×C414yes—
473Dic11⋊C4C22×C414yes—
474Dic11⋊C4C22×C414yes—
475C4×Dic11—22no—
476C4×Dic11—22no—
477C4×Dic11—22no—
478C4×Dic11—22no—
479C4×Dic11—22no—
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—22no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494C4×Dic11—41no—
495C4×Dic11—41no—
496C4×Dic11—41no—
497C4×Dic11—41no—
498C4×Dic11—41no—
499C4×Dic11—41no—
500C4×Dic11—41no—
501C4×Dic11—41no—
502C4×Dic11C22×C414yes—
503C4×Dic11C22×C414yes—
504C4×Dic11C22×C414yes—
505C4×Dic11C22×C414yes—
506C4×Dic11C22×C414yes—
507C4×Dic11#4114yes—
508C4×Dic11#4114yes—
509C2×#541—111no—
510#2336—111no—
511#2336—111no—
512#2336—111no—
513#2336—111no—
514#2334—111no—
515#2334—111no—
516#2334—111no—
517#2334D1111yescharacteristic
518#2330—111no—
519#2327—111no—
520#2323—111no—
521#2323—111no—
522#2320—111no—
523#2320—111no—
524#2314—111no—
525C4×C4⋊Q8—111no—
526C4×#125—111no—
527C4×#125—111no—
528C4×#125—111no—
529C4×#125—111no—
530C4×#125—111no—
531C4×#126—111no—
532C4×#126—111no—
533C4×#126—111no—
534C4×#126—111no—
535C4×C22⋊Q8—111no—
536C4×C22⋊Q8—111no—
537C42×Q8—111no—
538C42×Q8—111no—
539C4×#117—111no—
540C23×C11—21no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11—21no—
546C23×C11C23×C412yes—
547C23×C11C2511yescharacteristic
548C2×C4×C11—21no—
549C2×C4×C11—21no—
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—44no—
583C2×C4×C11C23×C412yes—
584C2×C4×C11C23×C412yes—
585C2×C4×C11C23×C412yes—
586C2×C4×C11C23×C412yes—
587C2×C4×C11C23×C412yes—
588C2×C4×C11C23×C412yes—
589C2×C4×C11C2×#4112yes—
590C2×C4×C11C2×#4112yes—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
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—28no—
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—44no—
627C2×Dic11C23×C412yes—
628C2×Dic11C23×C412yes—
629C2×Dic11C23×C412yes—
630C2×Dic11C23×C412yes—
631C2×Dic11C23×C412yes—
632C2×Dic11C23×C412yes—
633C2×Dic11C23×C412yes—
634C2×Dic11C23×C412yes—
635C2×Dic11C2×#4112yes—
636C2×Dic11C2×#4112yes—
637C2×Dic11C2×#4112yes—
638C2×Dic11C2×#4112yes—
639C2×Dic112−1+412yes—
640C2×Dic112−1+412yes—
641Dic22—28no—
642Dic22—28no—
643#541—1116no—
644C2×C4⋊Q8—111no—
645C2×#126—111no—
646C2×#126—111no—
647C2×#126—111no—
648C2×#126C2×D1111yescharacteristic
649C2×#125—111no—
650C2×#125—111no—
651C2×#125—111no—
652C2×#125—111no—
653C2×#125—111no—
654C2×C22⋊Q8—111no—
655C2×C22⋊Q8—111no—
656C2×C4×Q8—111no—
657C2×C4×Q8—111no—
658C2×C4×Q8—111no—
659C2×C4×Q8—111no—
660C2×C4×Q8—111no—
661C2×C4×Q8—111no—
662C2×#117—111no—
663C2×#117—111no—
664C22×C42—111no—
665#391—111no—
666#391—111no—
667#391—111no—
668#391—111no—
669#389—111no—
670#389—111no—
671#389—111no—
672#389—111no—
673#389—111no—
674#389—111no—
675#389—111no—
676#389—111no—
677#389—111no—
678#389—111no—
679#389—111no—
680#389—111no—
681#389—111no—
682#389—111no—
683#389C2×D1111yescharacteristic
684#389C2×D1111yescharacteristic
685#388—111no—
686#388—111no—
687#388—111no—
688#388—111no—
689#388—111no—
690#388—111no—
691#388—111no—
692#388—111no—
693#388—111no—
694#388C2×D1111yescharacteristic
695#388C2×D1111yescharacteristic
696#388C2×D1111yescharacteristic
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#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387C2×D1111yescharacteristic
731#387C2×D1111yescharacteristic
732#387C2×D1111yescharacteristic
733#385—111no—
734#385—111no—
735#385C2×D1111yescharacteristic
736#385C2×D1111yescharacteristic
737#384—111no—
738#383—111no—
739#383—111no—
740#383—111no—
741#383—111no—
742#382—111no—
743#382—111no—
744#382—111no—
745#382—111no—
746#382C2×D1111yescharacteristic
747#380—111no—
748#380—111no—
749C4×C4⋊C4—111no—
750C4×C4⋊C4—111no—
751C4×C4⋊C4—111no—
752C4×C4⋊C4—111no—
753C4×C4⋊C4—111no—
754C4×C4⋊C4—111no—
755C4×C4⋊C4—111no—
756C4×C4⋊C4—111no—
757C4×C4⋊C4—111no—
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×C4⋊C4C2×D1111yescharacteristic
783C4×C22⋊C4—111no—
784C4×C22⋊C4—111no—
785C4×C22⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788C4×C22⋊C4—111no—
789C4×C22⋊C4—111no—
790C4×C22⋊C4C2×D1111yescharacteristic
791#376—111no—
792#376—111no—
793C43—111no—
794C43—111no—
795C43—111no—
796C43—111no—
797C43—111no—
798C43—111no—
799C22×C11—22no—
800C22×C11—22no—
801C22×C11—22no—
802C22×C11—41no—
803C22×C11—41no—
804C22×C11—41no—
805C22×C11—41no—
806C22×C11C24×C411yescharacteristic
807C22×C11C22×#4111yescharacteristic
808C22×C11C22×#4111yescharacteristic
809C22×C11C2×2−1+411yescharacteristic
810C22×C11C2×2−1+411yescharacteristic
811C22×C11#58511yescharacteristic
812C22×C11#58511yescharacteristic
813C4×C11—22no—
814C4×C11—22no—
815C4×C11—22no—
816C4×C11—22no—
817C4×C11—22no—
818C4×C11—22no—
819C4×C11—22no—
820C4×C11—22no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826C4×C11—41no—
827Dic11—22no—
828Dic11—22no—
829Dic11—22no—
830Dic11—22no—
831Dic11—22no—
832Dic11—22no—
833Dic11—22no—
834Dic11—22no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840Dic11—41no—
841Dic11C4×#4114yes—
842Dic11#54114yescomplemented
843C22×Q8—111no—
844C22×Q8—111no—
845C23×C4—111no—
846C23×C4—111no—
847C23×C4C22×D1111yescharacteristic
848C4⋊Q8—118no—
849#126—118no—
850#126—118no—
851#126—118no—
852#126C4×D1118yes—
853#125—118no—
854#125—118no—
855#125—118no—
856#125—118no—
857#125—118no—
858C22⋊Q8—118no—
859C22⋊Q8—118no—
860C4×Q8—118no—
861C4×Q8—118no—
862C4×Q8—224no—
863C4×Q8—224no—
864C4×Q8—224no—
865C4×Q8—224no—
866#117—118no—
867#117—224no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
905C2×C4⋊C4C22×D1111yescharacteristic
906C2×C4⋊C4C22×D1111yescharacteristic
907C2×C4⋊C4C22×D1111yescharacteristic
908C2×C4⋊C4C22×D1111yescharacteristic
909C2×C4⋊C4C22×D1111yescharacteristic
910C2×C4⋊C4C22×D1111yescharacteristic
911C2×C4⋊C4C22×D1111yescharacteristic
912C2×C4⋊C4C22×D1111yescharacteristic
913C2×C4⋊C4C22×D1111yescharacteristic
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—111no—
920C2×C22⋊C4C22×D1111yescharacteristic
921C2×C22⋊C4C22×D1111yescharacteristic
922C2×C22⋊C4C22×D1111yescharacteristic
923C2×C22⋊C4C22×D1111yescharacteristic
924C2×C22⋊C4C22×D1111yescharacteristic
925C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
956C2×C42—111no—
957C2×C42—111no—
958C2×C42—111no—
959C2×C42—111no—
960C2×C42—224no—
961C2×C42C22×D1111yescharacteristic
962C2×C42C22×D1111yescharacteristic
963C2×C42C22×D1111yescharacteristic
964C2×C42C22×D1111yescharacteristic
965C2×C42C22×D1111yescharacteristic
966C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1008#95C22×D1111yescharacteristic
1009#95C22×D1111yescharacteristic
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
1019C2×C11—42no—
1020C2×C11C2×C4×#4111yescharacteristic
1021C2×C11C4×2−1+411yescharacteristic
1022C2×C11C4×2−1+411yescharacteristic
1023C2×C11C2×#54111yescharacteristic
1024C2×C11#345511yescharacteristic
1025C2×C11#346111yescharacteristic
1026C2×C11#346111yescharacteristic
1027C24C23×D1111yescharacteristic
1028C2×Q8—114no—
1029C2×Q8—114no—
1030C2×Q8—222no—
1031C2×Q8—222no—
1032C2×Q8—222no—
1033C2×Q8—222no—
1034C22×C4—22no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—114no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—111no—
1043C22×C4—111no—
1044C22×C4—111no—
1045C22×C4—111no—
1046C22×C4—111no—
1047C22×C4—111no—
1048C22×C4—111no—
1049C22×C4—111no—
1050C22×C4—111no—
1051C22×C4—111no—
1052C22×C4—111no—
1053C22×C4—111no—
1054C22×C4—222no—
1055C22×C4—222no—
1056C22×C4—222no—
1057C22×C4—222no—
1058C22×C4—222no—
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C22×C4C23×D1111yescharacteristic
1065C22×C4C23×D1111yescharacteristic
1066C22×C4C23×D1111yescharacteristic
1067C22×C4C23×D1111yescharacteristic
1068C22×C4C23×D1111yescharacteristic
1069C22×C4C23×D1111yescharacteristic
1070C22×C4C23×D1111yescharacteristic
1071C22×C4C23×D1111yescharacteristic
1072C22×C4C23×D1111yescharacteristic
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—114no—
1081C4⋊C4—114no—
1082C4⋊C4—114no—
1083C4⋊C4—114no—
1084C4⋊C4—114no—
1085C4⋊C4—114no—
1086C4⋊C4—114no—
1087C4⋊C4—114no—
1088C4⋊C4—114no—
1089C4⋊C4—114no—
1090C4⋊C4—114no—
1091C4⋊C4—114no—
1092C4⋊C4—114no—
1093C4⋊C4—114no—
1094C4⋊C4—114no—
1095C4⋊C4—114no—
1096C4⋊C4—114no—
1097C4⋊C4—222no—
1098C4⋊C4—222no—
1099C4⋊C4—222no—
1100C4⋊C4—222no—
1101C4⋊C4—222no—
1102C4⋊C4—222no—
1103C4⋊C4—222no—
1104C4⋊C4—222no—
1105C4⋊C4—222no—
1106C4⋊C4—222no—
1107C4⋊C4—222no—
1108C4⋊C4—441no—
1109C4⋊C4—441no—
1110C4⋊C4—441no—
1111C4⋊C4—441no—
1112C4⋊C4—441no—
1113C4⋊C4—441no—
1114C4⋊C4—441no—
1115C4⋊C4—441no—
1116C4⋊C4C2×C4×D1114yes—
1117C4⋊C4C2×C4×D1114yes—
1118C4⋊C4C2×C4×D1114yes—
1119C22⋊C4—22no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—114no—
1123C22⋊C4—114no—
1124C22⋊C4—114no—
1125C22⋊C4—222no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4C2×C4×D1114yes—
1129C22⋊C4C2×C4×D1114yes—
1130C22⋊C4C2×C4×D1114yes—
1131C42—22no—
1132C42—41no—
1133C42—41no—
1134C42—41no—
1135C42—41no—
1136C42—114no—
1137C42—114no—
1138C42—114no—
1139C42—114no—
1140C42—114no—
1141C42—114no—
1142C42—114no—
1143C42—222no—
1144C42—222no—
1145C42—222no—
1146C42—222no—
1147C42—222no—
1148C42—222no—
1149C42—222no—
1150C42—222no—
1151C42—222no—
1152C42—222no—
1153C42—222no—
1154C42—222no—
1155C42—222no—
1156C42—222no—
1157C42—222no—
1158C42—222no—
1159C42—222no—
1160C42—222no—
1161C42—222no—
1162C42—441no—
1163C42—441no—
1164C42—441no—
1165C42—441no—
1166C42—441no—
1167C42—441no—
1168C42—441no—
1169C42—441no—
1170C42C2×C4×D1114yes—
1171C11C4×#54111yescharacteristic, complemented, Sylow
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23C22×C4×D1112yes—
1179C23C24×D1111yescharacteristic
1180Q8—228no—
1181Q8—228no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
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—44no—
1217C2×C4—112no—
1218C2×C4—112no—
1219C2×C4—112no—
1220C2×C4—112no—
1221C2×C4—112no—
1222C2×C4—112no—
1223C2×C4—112no—
1224C2×C4—112no—
1225C2×C4—112no—
1226C2×C4—112no—
1227C2×C4—112no—
1228C2×C4—112no—
1229C2×C4—112no—
1230C2×C4—112no—
1231C2×C4—228no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
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—444no—
1267C2×C4C22×C4×D1112yes—
1268C2×C4C22×C4×D1112yes—
1269C2×C4C22×C4×D1112yes—
1270C2×C4C22×C4×D1112yes—
1271C2×C4C22×C4×D1112yes—
1272C2×C4C22×C4×D1112yes—
1273C2×C4#41×D1112yes—
1274C2×C4#41×D1112yes—
1275C22—22no—
1276C22—22no—
1277C22—22no—
1278C22—41no—
1279C22—41no—
1280C22—41no—
1281C22—41no—
1282C22C23×C4×D1111yescharacteristic
1283C22C2×#41×D1111yescharacteristic
1284C22C2×#41×D1111yescharacteristic
1285C22#1062345511yescharacteristic
1286C22#1062345511yescharacteristic
1287C22D11×2−1+411yescharacteristic
1288C22D11×2−1+411yescharacteristic
1289C4—22no—
1290C4—22no—
1291C4—22no—
1292C4—22no—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—114no—
1304C4—114no—
1305C4—222no—
1306C4—222no—
1307C4—222no—
1308C4—222no—
1309C4—222no—
1310C4—222no—
1311C4—222no—
1312C4—222no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C4—441no—
1317C4—441no—
1318C4—441no—
1319C2—42no—
1320C2C4×#41×D1111yescharacteristic
1321C2#1308182711yescharacteristic
1322C2#1308182711yescharacteristic
1323C2D11×#54111yescharacteristic
1324C2#1308199811yescharacteristic
1325C2#1308204211yescharacteristic
1326C2#1308204611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2334C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenter#2334D11
hypocenterC11C4×#541
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #13071420C2semidirect
3. #13071419C2semidirect
4. #13071415C2semidirect
5. #13071414C2semidirect
9. #13071354C2semidirect
10. #13071331C2semidirect
13. #13071265C2semidirect
14. #13071264C2semidirect
16. #13071187C2semidirect
17. #13071175C2semidirect
18. #13071173C2semidirect
19. #13071173C2semidirect
20. #13071173C2semidirect
21. #13071171C2semidirect
28. C4×#66940C2semidirect
29. C4×#66940C2semidirect
34. #10623232C4semidirect
293. #66943C2×C4semidirect
294. #66942C2×C4semidirect
295. #66942C2×C4semidirect
296. #66942C2×C4semidirect
297. #66941C2×C4semidirect
301. #66940C2×C4semidirect
309. #66923C2×C4semidirect
311. C4×Dic22C2×C4semidirect
842. Dic11#541semidirect
1171. C11C4×#541semidirect

Maximal subgroups

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

subgroupindex
C2×#106232322
#130714202
#130714192
#130714152
#130714142
#130713932
#130713922
#130713862
#130713542
#130713312
#130712952
#130712912
#130712652
#130712642
#130712202
#130711872
#130711752
#130711732
#130711712
#130711702
#126×Dic112
#130711482
C4×#669402
C4×#669302
C11×#23342
C4×#54111