Finite Group Databasebeta

← C2×#13082768 #15660893

Subgroups — C2×#13082768 #15660893

Order 2816.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082768C2132yesmaximal, direct product factor
2C2×#10623125C211yesmaximal, characteristic, complemented
3C2×#10623197C211yesmaximal, characteristic, complemented
4C2×#10623151C212yesmaximal, complemented
5C2×#10623190C211yesmaximal, characteristic, complemented
6C2×#10623189C212yesmaximal, complemented
7C2×#10623143C212yesmaximal, complemented
8C2×#10623185C212yesmaximal, complemented
9C2×#10623021C212yesmaximal, complemented
10C2×D4×C22⋊D11C212yesmaximal, complemented
11C2×#10623121C211yesmaximal, characteristic, complemented
12C2×#10623188C212yesmaximal, complemented
13C2×#10623124C212yesmaximal, complemented
14C2×#10623144C212yesmaximal, complemented
15C2×#10623336C211yesmaximal, characteristic, complemented
16C2×#10623138C212yesmaximal, complemented
17C2×#10623120C212yesmaximal, complemented
18C22×#66990C211yesmaximal, characteristic, complemented
19C2×D11×#120C212yesmaximal, complemented
20C2×C11×#534C211yesmaximal, characteristic, complemented
21C25×D11C2211yescharacteristic, complemented
22C23×D4×C11C2211yescharacteristic, complemented
23C23×D4×C11C2211yescharacteristic, complemented
24C23×C22⋊D11C2212yescomplemented
25C23×C22⋊D11C2212yescomplemented
26C22×D4×D11C2212yescomplemented
27C22×D4×D11C2212yescomplemented
28C22×D4×D11C2212yescomplemented
29C22×#4339C2212yescomplemented
30C22×#4339C2211yescharacteristic, complemented
31C11×#534C22116yescomplemented
32C2×C11×#123C2211yescharacteristic, complemented
33C2×C11×#123C2211yescharacteristic, complemented
34C2×C11×#123C2212yescomplemented
35C2×C11×#121C2212yescomplemented
36C2×C11×#121C2212yescomplemented
37C2×C11×#120C2212yescomplemented
38C2×C11×#120C2211yescharacteristic, complemented
39C2×C11×#120C2211yescharacteristic, complemented
40C22×C11×C22⋊C4C2211yescharacteristic, complemented
41C2×#67006C2212yescomplemented
42C2×#67006C2212yescomplemented
43C2×#67006C2212yescomplemented
44C22×C22⋊Dic11C2211yescharacteristic, complemented
45#10623336C22116yescomplemented
46C2×#66993C2212yescomplemented
47C2×#66993C2211yescharacteristic, complemented
48C2×#66993C2211yescharacteristic, complemented
49C2×#66992C2212yescomplemented
50C2×#66992C2212yescomplemented
51C2×#66992C2212yescomplemented
52D4×C22⋊D11C22132yescomplemented
53C2×#66991C2212yescomplemented
54C2×#66991C2212yescomplemented
55C2×#66991C2212yescomplemented
56C2×#66991C2212yescomplemented
57C2×#66990C2211yescharacteristic
58C2×#66990C2212yes—
59C2×#66990C2212yescomplemented
60C2×#66990C2212yescomplemented
61C2×#66990C2212yescomplemented
62C2×#66990C2211yescharacteristic, complemented
63C2×#66990C2212yescomplemented
64C2×#66990C2211yescharacteristic, complemented
65C2×#66990C2211yescharacteristic, complemented
66C2×#66990C2212yescomplemented
67C2×#66990C22116yescomplemented
68C2×#66989C2211yescharacteristic, complemented
69C2×#66989C2211yescharacteristic, complemented
70C2×#66989C2212yescomplemented
71C2×#66988C2212yescomplemented
72C2×D4×Dic11C2212yescomplemented
73C2×#66983C2212yescomplemented
74C2×#66983C2212yescomplemented
75C2×#66982C2212yescomplemented
76C2×C4×C22⋊D11C2212yescomplemented
77C2×C4×C22⋊D11C2212yescomplemented
78C22×(C2×D11)⋊C4C2212yescomplemented
79C2×#66979C2211yescharacteristic, complemented
80#10623197C22116yescomplemented
81#10623190C22116yescomplemented
82#10623189C22132yescomplemented
83#10623188C22132yescomplemented
84#10623185C22132yescomplemented
85#10623151C22132yescomplemented
86#10623144C22132yescomplemented
87#10623143C22132yescomplemented
88#10623138C22132yescomplemented
89#10623125C22116yescomplemented
90#10623124C22132yescomplemented
91#10623121C22116yescomplemented
92#10623120C22132yescomplemented
93D11×#120C22132yescomplemented
94C2×#66951C2212yescomplemented
95C2×#66951C2212yescomplemented
96C2×#66950C2212yescomplemented
97C2×#66949C2212yescomplemented
98C2×#66948C2212yescomplemented
99C2×#66947C2212yescomplemented
100C2×#66946C2212yescomplemented
101C2×#66945C2212yescomplemented
102C2×#66939C2212yescomplemented
103C2×#66938C2212yescomplemented
104C2×#66938C2212yescomplemented
105C2×#66938C2212yescomplemented
106C2×#66938C2212yescomplemented
107#10623021C22132yescomplemented
108C2×#66937C2212yescomplemented
109C2×#66937C2212yescomplemented
110C2×#66937C2212yescomplemented
111C2×#66936C2212yescomplemented
112C2×#66936C2212yescomplemented
113C2×#66936C2212yescomplemented
114C2×#66935C2212yescomplemented
115C2×#66935C2212yescomplemented
116C2×#66935C2212yescomplemented
117C2×#66935C2212yescomplemented
118C2×(C22⋊D11)⋊C4C2212yescomplemented
119C2×(C22⋊D11)⋊C4C2212yescomplemented
120C2×C22⋊C4×D11C2212yescomplemented
121C2×C22⋊C4×D11C2212yescomplemented
122C2×C22⋊C4×D11C2212yescomplemented
123C2×C22⋊C4×D11C2212yescomplemented
124C2×#66932C2212yescomplemented
125C2×#66932C2212yescomplemented
126C2×#66931C2212yescomplemented
127C25×C11C2311yescharacteristic
128C25×C11C2311yescharacteristic
129C25×C11C2311yescharacteristic, complemented
130C24×D11—48no—
131C24×D11—44no—
132C24×D11C2311yescharacteristic
133C24×D11C2312yes—
134C24×D11C2312yes—
135C24×D11C2312yes—
136C24×D11C2311yescharacteristic
137C24×D11C2318yescomplemented
138C22×D4×C11—44no—
139C22×D4×C11—44no—
140C22×D4×C11C2312yes—
141C22×D4×C11C2312yes—
142C22×D4×C11C2311yescharacteristic
143C22×D4×C11C2311yescharacteristic
144C22×D4×C11C2312yes—
145C22×D4×C11C2311yescharacteristic
146C22×D4×C11C2311yescharacteristic
147C22×D4×C11C2318yescomplemented
148C22×D4×C11C2312yescomplemented
149C22×D4×C11C2318yescomplemented
150C23×C4×C11C2311yescharacteristic
151C23×C4×C11C2311yescharacteristic, complemented
152C23×C4×C11C2312yescomplemented
153C22×C22⋊D11—48no—
154C22×C22⋊D11—48no—
155C22×C22⋊D11C2312yes—
156C22×C22⋊D11C2312yes—
157C22×C22⋊D11C2312yes—
158C22×C22⋊D11C2312yes—
159C22×C22⋊D11C2312yes—
160C22×C22⋊D11C2312yes—
161C22×C22⋊D11C2312yes—
162C22×C22⋊D11C2312yes—
163C22×C22⋊D11C2312yes—
164C22×C22⋊D11C2312yes—
165C22×C22⋊D11C23116yescomplemented
166C22×C22⋊D11C2312yescomplemented
167C22×C22⋊D11C2312yescomplemented
168C22×C22⋊D11C2312yescomplemented
169C22×C22⋊D11C23116yescomplemented
170C23×Dic11C2312yes—
171C23×Dic11C2312yescomplemented
172C2×D4×D11—48no—
173C2×D4×D11—48no—
174C2×D4×D11—48no—
175C2×D4×D11C23116yescomplemented
176C2×D4×D11C23116yescomplemented
177C2×D4×D11C23116yescomplemented
178C2×#4339—48no—
179C2×#4339—44no—
180C2×#4339C23116yescomplemented
181C2×#4339C2318yescomplemented
182C22×D44C2312yes—
183C22×D44C2312yes—
184C22×D44C2312yes—
185C22×D44C2311yescharacteristic, complemented
186C22×C4×D11C2312yes—
187C22×C4×D11C2312yes—
188C22×C4×D11C2312yes—
189C22×C4×D11C2312yescomplemented
190C22×C4×D11C2312yescomplemented
191C22×Dic22C2312yescomplemented
192C22×Dic22C2311yescharacteristic, complemented
193C11×#123C2318yescomplemented
194C11×#123C2318yescomplemented
195C11×#123C23116yescomplemented
196C11×#121C23116yescomplemented
197C11×#121C23116yescomplemented
198C11×#120C23116yescomplemented
199C11×#120C2318yescomplemented
200C11×#120C2318yescomplemented
201C2×C11×C4⋊C4C2312yescomplemented
202C2×C11×C4⋊C4C2312yescomplemented
203C2×C11×C22⋊C4C2312yes—
204C2×C11×C22⋊C4C2312yes—
205C2×C11×C22⋊C4C2312yes—
206C2×C11×C22⋊C4C2318yescomplemented
207C2×C11×C22⋊C4C2312yescomplemented
208C2×C11×C22⋊C4C2312yescomplemented
209C2×C11×C22⋊C4C2311yescharacteristic, complemented
210C2×C11×C22⋊C4C2311yescharacteristic, complemented
211#67006C23116yescomplemented
212#67006C23116yescomplemented
213#67006C23116yescomplemented
214C2×C22⋊Dic11C2312yes—
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2312yes—
217C2×C22⋊Dic11C2312yes—
218C2×C22⋊Dic11C2312yes—
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2318yescomplemented
221C2×C22⋊Dic11C2312yescomplemented
222C2×C22⋊Dic11C2312yescomplemented
223C2×C22⋊Dic11C2312yescomplemented
224C2×C22⋊Dic11C2312yescomplemented
225#66993C23116yescomplemented
226#66993C2318yescomplemented
227#66993C2318yescomplemented
228#66992C23116yescomplemented
229#66992C23116yescomplemented
230#66992C23116yescomplemented
231#66991C23116yescomplemented
232#66991C23116yescomplemented
233#66991C23116yescomplemented
234#66991C23116yescomplemented
235#66990C2318yes—
236#66990C23116yes—
237#66990C23116yescomplemented
238#66990C2318yescomplemented
239#66990C23116yescomplemented
240#66990C2318yescomplemented
241#66990C2318yescomplemented
242#66990C23116yescomplemented
243#66990C23116yescomplemented
244#66990C23116yescomplemented
245#66989C2318yescomplemented
246#66989C2318yescomplemented
247#66989C23116yescomplemented
248#66988C23116yescomplemented
249D4×Dic11C23116yescomplemented
250#66983C23116yescomplemented
251#66983C23116yescomplemented
252#66982C23116yescomplemented
253C4×C22⋊D11C23116yescomplemented
254C4×C22⋊D11C23116yescomplemented
255C2×(C2×D11)⋊C4C2312yes—
256C2×(C2×D11)⋊C4C2312yes—
257C2×(C2×D11)⋊C4C2312yes—
258C2×(C2×D11)⋊C4C2312yes—
259C2×(C2×D11)⋊C4C2312yes—
260C2×(C2×D11)⋊C4C2312yes—
261C2×(C2×D11)⋊C4C2312yes—
262C2×(C2×D11)⋊C4C2312yes—
263C2×(C2×D11)⋊C4C2312yes—
264C2×(C2×D11)⋊C4C2312yes—
265C2×(C2×D11)⋊C4C23116yescomplemented
266C2×(C2×D11)⋊C4C2312yescomplemented
267C2×(C2×D11)⋊C4C2312yescomplemented
268#66979C2318yescomplemented
269C2×C4⋊Dic11C2312yescomplemented
270C2×C4⋊Dic11C2312yescomplemented
271C2×C4⋊Dic11C2312yescomplemented
272C2×Dic11⋊C4C2312yescomplemented
273C2×Dic11⋊C4C2312yescomplemented
274C2×Dic11⋊C4C2312yescomplemented
275C2×Dic11⋊C4C2312yescomplemented
276C2×C4×Dic11C2312yescomplemented
277C2×C4×Dic11C2312yescomplemented
278C2×C4×Dic11C2311yescharacteristic, complemented
279C2×C4×Dic11C2311yescharacteristic, complemented
280#66951C23116yescomplemented
281#66951C23116yescomplemented
282#66950C23116yescomplemented
283#66949C23116yescomplemented
284#66948C23116yescomplemented
285#66947C23116yescomplemented
286#66946C23116yescomplemented
287#66945C23116yescomplemented
288#66939C23116yescomplemented
289#66938C23116yescomplemented
290#66938C23116yescomplemented
291#66938C23116yescomplemented
292#66938C23116yescomplemented
293#66937C23116yescomplemented
294#66937C23116yescomplemented
295#66937C23116yescomplemented
296#66936C23116yescomplemented
297#66936C23116yescomplemented
298#66936C23116yescomplemented
299#66935C23116yescomplemented
300#66935C23116yescomplemented
301#66935C23116yescomplemented
302#66935C23116yescomplemented
303(C22⋊D11)⋊C4C23116yescomplemented
304(C22⋊D11)⋊C4C23116yescomplemented
305C22⋊C4×D11C23116yescomplemented
306C22⋊C4×D11C23116yescomplemented
307C22⋊C4×D11C23116yescomplemented
308C22⋊C4×D11C23116yescomplemented
309#66932C23116yescomplemented
310#66932C23116yescomplemented
311#66931C23116yescomplemented
312C2×#3532—111nomaximal, Sylow
313C24×C11—24no—
314C24×C11—24no—
315C24×C11—44no—
316C24×C11—44no—
317C24×C11—44no—
318C24×C11—42no—
319C24×C11C2411yescharacteristic
320C24×C11C2411yescharacteristic
321C24×C11C2412yes—
322C24×C11C2411yescharacteristic
323C24×C11C2411yescharacteristic
324C24×C11C2411yescharacteristic
325C24×C11C2414yes—
326C24×C11C2414yes—
327C24×C11C2414yescomplemented
328C23×D11—28no—
329C23×D11—28no—
330C23×D11—28no—
331C23×D11—28no—
332C23×D11—28no—
333C23×D11—432no—
334C23×D11—42no—
335C23×D11—44no—
336C23×D11—44no—
337C23×D11—44no—
338C23×D11—42no—
339C23×D11—44no—
340C23×D11—416no—
341C23×D11—44no—
342C23×D11—44no—
343C23×D11—464no—
344C23×D11C2412yes—
345C23×D11C2412yes—
346C23×D11C2414yes—
347C23×D11C2418yes—
348C23×D11C2412yes—
349C23×D11C2418yes—
350C23×D11C2418yes—
351C23×D11C2414yes—
352C2×D4×C11—28no—
353C2×D4×C11—44no—
354C2×D4×C11—44no—
355C2×D4×C11—42no—
356C2×D4×C11—42no—
357C2×D4×C11—42no—
358C2×D4×C11—42no—
359C2×D4×C11—44no—
360C2×D4×C11—416no—
361C2×D4×C11—416no—
362C2×D4×C11C2418yes—
363C2×D4×C11C2418yes—
364C2×D4×C11C2414yes—
365C2×D4×C11C2414yes—
366C2×D4×C11C2418yes—
367C2×D4×C11C2414yes—
368C2×D4×C11C2414yes—
369C2×D4×C11C2418yescomplemented
370C22×C4×C11—24no—
371C22×C4×C11—44no—
372C22×C4×C11—42no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2412yes—
375C22×C4×C11C2412yes—
376C22×C4×C11C2412yes—
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2414yes—
379C22×C4×C11C2414yescomplemented
380C22×C4×C11C2418yescomplemented
381C2×C22⋊D11—28no—
382C2×C22⋊D11—28no—
383C2×C22⋊D11—28no—
384C2×C22⋊D11—28no—
385C2×C22⋊D11—44no—
386C2×C22⋊D11—44no—
387C2×C22⋊D11—44no—
388C2×C22⋊D11—44no—
389C2×C22⋊D11—44no—
390C2×C22⋊D11—44no—
391C2×C22⋊D11—44no—
392C2×C22⋊D11—44no—
393C2×C22⋊D11—44no—
394C2×C22⋊D11—432no—
395C2×C22⋊D11—432no—
396C2×C22⋊D11C2418yes—
397C2×C22⋊D11C2418yes—
398C2×C22⋊D11C2418yes—
399C2×C22⋊D11C2418yes—
400C2×C22⋊D11C2418yes—
401C2×C22⋊D11C2418yes—
402C2×C22⋊D11C2418yes—
403C2×C22⋊D11C2418yes—
404C2×C22⋊D11C2418yes—
405C2×C22⋊D11C2418yes—
406C2×C22⋊D11C2418yescomplemented
407C2×C22⋊D11C2418yescomplemented
408C2×C22⋊D11C2418yescomplemented
409C22×Dic11—44no—
410C22×Dic11—44no—
411C22×Dic11C2412yes—
412C22×Dic11C2412yes—
413C22×Dic11C2412yes—
414C22×Dic11C2412yes—
415C22×Dic11C2412yes—
416C22×Dic11C2418yes—
417C22×Dic11C2418yescomplemented
418D4×D11—432no—
419D4×D11—432no—
420D4×D11—432no—
421#4339—416no—
422#4339—432no—
423C2×D44—28no—
424C2×D44—44no—
425C2×D44—44no—
426C2×D44—42no—
427C2×D44C2418yes—
428C2×D44C2418yes—
429C2×D44C2418yes—
430C2×D44C2414yescomplemented
431C2×C4×D11—28no—
432C2×C4×D11—44no—
433C2×C4×D11—44no—
434C2×C4×D11—44no—
435C2×C4×D11—44no—
436C2×C4×D11C2418yes—
437C2×C4×D11C2418yes—
438C2×C4×D11C2418yes—
439C2×C4×D11C2418yescomplemented
440C2×C4×D11C2418yescomplemented
441C2×Dic22—44no—
442C2×Dic22—42no—
443C2×Dic22C2418yescomplemented
444C2×Dic22C2414yescomplemented
445C11×C4⋊C4C2418yescomplemented
446C11×C4⋊C4C2418yescomplemented
447C11×C22⋊C4C2418yes—
448C11×C22⋊C4C2418yes—
449C11×C22⋊C4C2418yes—
450C11×C22⋊C4C2418yescomplemented
451C11×C22⋊C4C2418yescomplemented
452C11×C22⋊C4C2414yescomplemented
453C11×C22⋊C4C2414yescomplemented
454C22⋊Dic11C2418yes—
455C22⋊Dic11C2414yes—
456C22⋊Dic11C2418yes—
457C22⋊Dic11C2418yes—
458C22⋊Dic11C2418yes—
459C22⋊Dic11C2414yes—
460C22⋊Dic11C2418yescomplemented
461C22⋊Dic11C2418yescomplemented
462C22⋊Dic11C2418yescomplemented
463C22⋊Dic11C2418yescomplemented
464(C2×D11)⋊C4C2418yes—
465(C2×D11)⋊C4C2418yes—
466(C2×D11)⋊C4C2418yes—
467(C2×D11)⋊C4C2418yes—
468(C2×D11)⋊C4C2418yes—
469(C2×D11)⋊C4C2418yes—
470(C2×D11)⋊C4C2418yes—
471(C2×D11)⋊C4C2418yes—
472(C2×D11)⋊C4C2418yes—
473(C2×D11)⋊C4C2418yes—
474(C2×D11)⋊C4C2418yescomplemented
475(C2×D11)⋊C4C2418yescomplemented
476C4⋊Dic11C2418yescomplemented
477C4⋊Dic11C2418yescomplemented
478C4⋊Dic11C2418yescomplemented
479Dic11⋊C4C2418yescomplemented
480Dic11⋊C4C2418yescomplemented
481Dic11⋊C4C2418yescomplemented
482Dic11⋊C4C2418yescomplemented
483C4×Dic11C2418yescomplemented
484C4×Dic11C2418yescomplemented
485C4×Dic11C2414yescomplemented
486C4×Dic11C2414yescomplemented
487#3532—1132no—
488C2×H(3,𝔽4)—111no—
489C2×#560—111no—
490C2×#560—112no—
491C2×#551—111no—
492C2×#551—112no—
493C2×#546—112no—
494C2×#546—112no—
495C2×#546—112no—
496C2×D42—112no—
497C2×D42—111no—
498C2×#538—112no—
499C2×#538—112no—
500C2×#538—112no—
501C2×#535—111no—
502C2×#535—112no—
503C2×#534—112no—
504C2×#534D1111yescharacteristic, complemented
505C22×#120—111no—
506C22×#120—112no—
507C23×C11—24no—
508C23×C11—24no—
509C23×C11—24no—
510C23×C11—24no—
511C23×C11—24no—
512C23×C11—24no—
513C23×C11—24no—
514C23×C11—24no—
515C23×C11—22no—
516C23×C11—22no—
517C23×C11—28no—
518C23×C11—22no—
519C23×C11—22no—
520C23×C11—28no—
521C23×C11—48no—
522C23×C11—48no—
523C23×C11—48no—
524C23×C11—44no—
525C23×C11—416no—
526C23×C11—88no—
527C23×C11—88no—
528C23×C11H(5,𝔽2)14yes—
529C23×C11C2512yes—
530C23×C11C2512yes—
531C23×C11C2514yes—
532C23×C11C2512yes—
533C23×C11C2512yes—
534C23×C11C2512yes—
535C23×C11C2511yescharacteristic
536C22×D11—24no—
537C22×D11—24no—
538C22×D11—24no—
539C22×D11—24no—
540C22×D11—24no—
541C22×D11—24no—
542C22×D11—24no—
543C22×D11—216no—
544C22×D11—24no—
545C22×D11—216no—
546C22×D11—216no—
547C22×D11—216no—
548C22×D11—216no—
549C22×D11—44no—
550C22×D11—48no—
551C22×D11—48no—
552C22×D11—48no—
553C22×D11—44no—
554C22×D11—48no—
555C22×D11—416no—
556C22×D11—48no—
557C22×D11—48no—
558C22×D11—432no—
559C22×D11—432no—
560C22×D11—4128no—
561C22×D11—416no—
562C22×D11—816no—
563C22×D11H(5,𝔽2)18yes—
564C22×D11C2514yes—
565C22×D11C2514yes—
566C22×D11C2514yes—
567D4×C11—216no—
568D4×C11—48no—
569D4×C11—48no—
570D4×C11—44no—
571D4×C11—44no—
572D4×C11—44no—
573D4×C11—44no—
574D4×C11—48no—
575C2×C4×C11—24no—
576C2×C4×C11—22no—
577C2×C4×C11—24no—
578C2×C4×C11—22no—
579C2×C4×C11—24no—
580C2×C4×C11—28no—
581C2×C4×C11—48no—
582C2×C4×C11—44no—
583C2×C4×C11C2512yes—
584C2×C4×C11C2514yes—
585C2×C4×C11C2514yes—
586C2×C4×C11C2514yes—
587C2×C4×C11C2512yes—
588C22⋊D11—216no—
589C22⋊D11—216no—
590C22⋊D11—216no—
591C22⋊D11—216no—
592C22⋊D11—48no—
593C22⋊D11—48no—
594C22⋊D11—48no—
595C22⋊D11—48no—
596C22⋊D11—48no—
597C22⋊D11—48no—
598C22⋊D11—48no—
599C22⋊D11—48no—
600C22⋊D11—48no—
601C2×Dic11—24no—
602C2×Dic11—24no—
603C2×Dic11—24no—
604C2×Dic11—24no—
605C2×Dic11—24no—
606C2×Dic11—48no—
607C2×Dic11—48no—
608C2×Dic11C2514yes—
609C2×Dic11C2514yes—
610C2×Dic11C2514yes—
611C2×Dic11C2514yes—
612C2×Dic11C2514yes—
613D44—216no—
614D44—48no—
615D44—48no—
616D44—44no—
617C4×D11—216no—
618C4×D11—48no—
619C4×D11—48no—
620C4×D11—48no—
621C4×D11—48no—
622Dic22—48no—
623Dic22—44no—
624C26—111no—
625C22×#41—111no—
626C22×#41—112no—
627C23×D4—112no—
628C23×D4—112no—
629C23×D4—112no—
630C23×D4—112no—
631C23×D4—112no—
632C23×D4C2×D1111yescharacteristic, complemented
633C23×D4C2×D1111yescharacteristic, complemented
634H(3,𝔽4)—1116no—
635#560—1116no—
636#560—1132no—
637#551—1132no—
638#551—1116no—
639#546—1132no—
640#546—1132no—
641#546—1132no—
642D42—1132no—
643D42—1116no—
644#538—1132no—
645#538—1132no—
646#538—1132no—
647#535—1116no—
648#535—1132no—
649#534—1132no—
650#534C2×D11116yescomplemented
651C2×#127—111no—
652C2×#127—111no—
653C2×#127—112no—
654C2×#126—112no—
655C2×#126—112no—
656C2×#126—112no—
657C2×#126—112no—
658C2×#124—111no—
659C2×#124—111no—
660C2×#124—112no—
661C2×#124—112no—
662C2×#124—112no—
663C2×#124—112no—
664C2×#124—112no—
665C2×#123—112no—
666C2×#123—112no—
667C2×#123—112no—
668C2×#123—112no—
669C2×#123—112no—
670C2×#123—112no—
671C2×#123—112no—
672C2×#123C2×D1111yescharacteristic, complemented
673C2×#123C2×D1111yescharacteristic, complemented
674C2×#123C2×D1112yescomplemented
675C2×C22⋊Q8—112no—
676C2×C22⋊Q8—112no—
677C2×C22⋊Q8—112no—
678C2×#121—112no—
679C2×#121—112no—
680C2×#121—112no—
681C2×#121—112no—
682C2×#121—112no—
683C2×#121—112no—
684C2×#121—112no—
685C2×#121—112no—
686C2×#121—112no—
687C2×#121—112no—
688C2×#121—112no—
689C2×#121—112no—
690C2×#121—112no—
691C2×#121C2×D1112yescomplemented
692C2×#121C2×D1112yescomplemented
693C2×#120—112no—
694C2×#120—112no—
695C2×#120—112no—
696C2×#120—112no—
697C2×#120—111no—
698C2×#120—112no—
699C2×#120—112no—
700C2×#120—112no—
701C2×#120—111no—
702C2×#120—111no—
703C2×#120—112no—
704C2×#120—111no—
705C2×#120—1116no—
706C2×#120—112no—
707C2×#120—1132no—
708C2×#120—112no—
709C2×#120—112no—
710C2×#120—112no—
711C2×#120—112no—
712C2×#120C2×D1112yescomplemented
713C2×#120C2×D1111yescharacteristic, complemented
714C2×#120C2×D1111yescharacteristic, complemented
715C2×C4×D4—112no—
716C2×C4×D4—112no—
717C2×C4×D4—112no—
718C2×C4×D4—112no—
719C2×C4×D4—112no—
720C2×C4×D4—112no—
721C2×#117—111no—
722C2×#117—112no—
723C22×C22⋊C4—111no—
724C22×C22⋊C4—112no—
725C22×C22⋊C4—112no—
726C22×C22⋊C4—112no—
727C22×C22⋊C4—112no—
728C22×C22⋊C4—112no—
729C22×C22⋊C4C2×D1111yescharacteristic, complemented
730C22×C11—24no—
731C22×C11—28no—
732C22×C11—22no—
733C22×C11—24no—
734C22×C11—24no—
735C22×C11—22no—
736C22×C11—22no—
737C22×C11—22no—
738C22×C11—24no—
739C22×C11—24no—
740C22×C11—24no—
741C22×C11—24no—
742C22×C11—24no—
743C22×C11—416no—
744C22×C11—44no—
745C22×C11—44no—
746C22×C11—48no—
747C22×C11—44no—
748C22×C11—44no—
749C22×C11—88no—
750C22×C11—88no—
751C22×C11C2×H(5,𝔽2)14yes—
752C22×C11C2×H(5,𝔽2)12yes—
753C22×C11C2×H(5,𝔽2)14yes—
754C22×C11C2611yescharacteristic
755C2×D11—24no—
756C2×D11—24no—
757C2×D11—216no—
758C2×D11—24no—
759C2×D11—24no—
760C2×D11—24no—
761C2×D11—24no—
762C2×D11—24no—
763C2×D11—24no—
764C2×D11—416no—
765C2×D11—432no—
766C2×D11—432no—
767C2×D11—416no—
768C2×D11—48no—
769C2×D11—48no—
770C2×D11—816no—
771C2×D11C2×H(5,𝔽2)18yes—
772C4×C11—22no—
773C4×C11—22no—
774C4×C11—24no—
775C4×C11—24no—
776C4×C11—24no—
777Dic11—24no—
778Dic11—24no—
779Dic11—24no—
780Dic11—24no—
781Dic11—24no—
782C25—111no—
783C25—112no—
784C25—112no—
785C25—112no—
786C25—111no—
787C25—118no—
788C25—444no—
789C25—448no—
790C25C22×D1111yescharacteristic
791C25C22×D1111yescharacteristic
792C25C22×D1111yescharacteristic, complemented
793C2×#41—118no—
794C2×#41—1116no—
795C2×#41—444no—
796C2×#41—448no—
797C22×Q8—112no—
798C22×Q8—111no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4—112no—
802C22×D4—112no—
803C22×D4—112no—
804C22×D4—112no—
805C22×D4—112no—
806C22×D4—112no—
807C22×D4—112no—
808C22×D4—112no—
809C22×D4—112no—
810C22×D4—112no—
811C22×D4—112no—
812C22×D4—1116no—
813C22×D4—112no—
814C22×D4—112no—
815C22×D4—1116no—
816C22×D4—1116no—
817C22×D4—1116no—
818C22×D4—1116no—
819C22×D4—112no—
820C22×D4—112no—
821C22×D4—112no—
822C22×D4—111no—
823C22×D4—448no—
824C22×D4—448no—
825C22×D4—448no—
826C22×D4—448no—
827C22×D4—448no—
828C22×D4C22×D1112yes—
829C22×D4C22×D1111yescharacteristic
830C22×D4C22×D1111yescharacteristic
831C22×D4C22×D1111yescharacteristic
832C22×D4C22×D1111yescharacteristic
833C22×D4C22×D1112yes—
834C22×D4C22×D1112yes—
835C22×D4C22×D1118yescomplemented
836C22×D4C22×D1112yescomplemented
837C22×D4C22×D1118yescomplemented
838C23×C4—112no—
839C23×C4—112no—
840C23×C4—112no—
841C23×C4—112no—
842C23×C4—112no—
843C23×C4—112no—
844C23×C4—112no—
845C23×C4C22×D1111yescharacteristic
846C23×C4C22×D1112yescomplemented
847C23×C4C22×D1111yescharacteristic, complemented
848#127—118no—
849#127—118no—
850#127—1116no—
851#126—1116no—
852#126—1116no—
853#126—1116no—
854#126—1116no—
855#124—118no—
856#124—118no—
857#124—1116no—
858#124—1116no—
859#124—1116no—
860#124—1116no—
861#124—1116no—
862#123—1116no—
863#123—1116no—
864#123—1116no—
865#123—1116no—
866#123—1116no—
867#123—1116no—
868#123—1116no—
869#123C22×D1118yescomplemented
870#123C22×D1118yescomplemented
871#123C22×D11116yescomplemented
872C22⋊Q8—1116no—
873C22⋊Q8—1116no—
874C22⋊Q8—1116no—
875#121—1116no—
876#121—1116no—
877#121—1116no—
878#121—1116no—
879#121—1116no—
880#121—1116no—
881#121—1116no—
882#121—1116no—
883#121—1116no—
884#121—1116no—
885#121—1116no—
886#121—1116no—
887#121—1116no—
888#121C22×D11116yescomplemented
889#121C22×D11116yescomplemented
890#120—1116no—
891#120—1116no—
892#120—1116no—
893#120—1116no—
894#120—1116no—
895#120—1116no—
896#120—1116no—
897#120—118no—
898#120—118no—
899#120—118no—
900#120—1116no—
901#120—118no—
902#120—1116no—
903#120—1116no—
904#120—1116no—
905#120—1116no—
906#120—1116no—
907#120C22×D11116yescomplemented
908#120C22×D1118yescomplemented
909#120C22×D1118yescomplemented
910C4×D4—1116no—
911C4×D4—1116no—
912C4×D4—1116no—
913C4×D4—1116no—
914C4×D4—1116no—
915C4×D4—1116no—
916#117—118no—
917#117—1116no—
918C2×C4⋊C4—112no—
919C2×C4⋊C4—112no—
920C2×C4⋊C4—112no—
921C2×C4⋊C4—112no—
922C2×C4⋊C4—112no—
923C2×C4⋊C4—112no—
924C2×C4⋊C4—112no—
925C2×C4⋊C4C22×D1112yescomplemented
926C2×C4⋊C4C22×D1112yescomplemented
927C2×C22⋊C4—112no—
928C2×C22⋊C4—111no—
929C2×C22⋊C4—112no—
930C2×C22⋊C4—112no—
931C2×C22⋊C4—112no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—118no—
934C2×C22⋊C4—112no—
935C2×C22⋊C4—112no—
936C2×C22⋊C4—112no—
937C2×C22⋊C4—112no—
938C2×C22⋊C4—112no—
939C2×C22⋊C4—112no—
940C2×C22⋊C4—112no—
941C2×C22⋊C4—112no—
942C2×C22⋊C4—112no—
943C2×C22⋊C4—112no—
944C2×C22⋊C4—112no—
945C2×C22⋊C4—112no—
946C2×C22⋊C4—112no—
947C2×C22⋊C4—112no—
948C2×C22⋊C4—1116no—
949C2×C22⋊C4—112no—
950C2×C22⋊C4—112no—
951C2×C22⋊C4—1116no—
952C2×C22⋊C4—1116no—
953C2×C22⋊C4—1116no—
954C2×C22⋊C4—1116no—
955C2×C22⋊C4C22×D1112yes—
956C2×C22⋊C4C22×D1112yes—
957C2×C22⋊C4C22×D1112yes—
958C2×C22⋊C4C22×D1118yescomplemented
959C2×C22⋊C4C22×D1112yescomplemented
960C2×C22⋊C4C22×D1111yescharacteristic, complemented
961C2×C22⋊C4C22×D1111yescharacteristic, complemented
962C2×C22⋊C4C22×D1112yescomplemented
963C2×C42—111no—
964C2×C42—112no—
965C2×C42—111no—
966C2×C42—112no—
967C2×C11—24no—
968C2×C11—42no—
969C2×C11—42no—
970C2×C11—44no—
971C2×C11—42no—
972C2×C11—42no—
973C2×C11#353214yescomplemented
974C2×C11C22×H(5,𝔽2)12yes—
975C2×C11C22×H(5,𝔽2)11yescharacteristic
976D11—28no—
977D11—44no—
978D11—44no—
979C24—24no—
980C24—24no—
981C24—44no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—112no—
986C24—112no—
987C24—112no—
988C24—114no—
989C24—118no—
990C24—118no—
991C24—118no—
992C24—114no—
993C24—228no—
994C24—228no—
995C24—228no—
996C24—228no—
997C24—228no—
998C24—444no—
999C24—442no—
1000C24—444no—
1001C24—442no—
1002C24—4416no—
1003C24—444no—
1004C24—444no—
1005C24—444no—
1006C24—444no—
1007C24—4432no—
1008C24—4464no—
1009C24C23×D1111yescharacteristic
1010C24C23×D1111yescharacteristic
1011C24C23×D1112yes—
1012C24C23×D1111yescharacteristic
1013C24C23×D1111yescharacteristic
1014C24C23×D1111yescharacteristic
1015C24C23×D1114yes—
1016C24C23×D1114yes—
1017C24C23×D1114yescomplemented
1018#41—4416no—
1019#41—4432no—
1020C2×Q8—118no—
1021C2×Q8—114no—
1022C2×Q8—442no—
1023C2×Q8—444no—
1024C2×D4—28no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—416no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—416no—
1034C2×D4—118no—
1035C2×D4—118no—
1036C2×D4—118no—
1037C2×D4—118no—
1038C2×D4—118no—
1039C2×D4—118no—
1040C2×D4—118no—
1041C2×D4—118no—
1042C2×D4—118no—
1043C2×D4—118no—
1044C2×D4—118no—
1045C2×D4—118no—
1046C2×D4—118no—
1047C2×D4—118no—
1048C2×D4—118no—
1049C2×D4—118no—
1050C2×D4—114no—
1051C2×D4—228no—
1052C2×D4—228no—
1053C2×D4—228no—
1054C2×D4—228no—
1055C2×D4—228no—
1056C2×D4—444no—
1057C2×D4—444no—
1058C2×D4—442no—
1059C2×D4—4432no—
1060C2×D4—444no—
1061C2×D4—444no—
1062C2×D4—444no—
1063C2×D4—444no—
1064C2×D4—444no—
1065C2×D4—444no—
1066C2×D4—444no—
1067C2×D4—444no—
1068C2×D4—444no—
1069C2×D4—4432no—
1070C2×D4—4432no—
1071C2×D4—4432no—
1072C2×D4—4432no—
1073C2×D4C23×D1118yes—
1074C2×D4C23×D1114yes—
1075C2×D4C23×D1114yes—
1076C2×D4C23×D1114yes—
1077C2×D4C23×D1114yes—
1078C2×D4C23×D1118yes—
1079C2×D4C23×D1118yes—
1080C2×D4C23×D1118yescomplemented
1081C22×C4—24no—
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—112no—
1085C22×C4—112no—
1086C22×C4—112no—
1087C22×C4—112no—
1088C22×C4—112no—
1089C22×C4—118no—
1090C22×C4—118no—
1091C22×C4—118no—
1092C22×C4—118no—
1093C22×C4—118no—
1094C22×C4—118no—
1095C22×C4—118no—
1096C22×C4—228no—
1097C22×C4—444no—
1098C22×C4—444no—
1099C22×C4—444no—
1100C22×C4—444no—
1101C22×C4—444no—
1102C22×C4—444no—
1103C22×C4C23×D1114yes—
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1112yes—
1106C22×C4C23×D1112yes—
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1112yes—
1109C22×C4C23×D1118yescomplemented
1110C22×C4C23×D1114yescomplemented
1111C4⋊C4—118no—
1112C4⋊C4—118no—
1113C4⋊C4—118no—
1114C4⋊C4—118no—
1115C4⋊C4—118no—
1116C4⋊C4—118no—
1117C4⋊C4—118no—
1118C4⋊C4C23×D1118yescomplemented
1119C4⋊C4C23×D1118yescomplemented
1120C22⋊C4—118no—
1121C22⋊C4—114no—
1122C22⋊C4—118no—
1123C22⋊C4—118no—
1124C22⋊C4—118no—
1125C22⋊C4—114no—
1126C22⋊C4—118no—
1127C22⋊C4—118no—
1128C22⋊C4—118no—
1129C22⋊C4—118no—
1130C22⋊C4—118no—
1131C22⋊C4—118no—
1132C22⋊C4—118no—
1133C22⋊C4—118no—
1134C22⋊C4—118no—
1135C22⋊C4—118no—
1136C22⋊C4—118no—
1137C22⋊C4—118no—
1138C22⋊C4—118no—
1139C22⋊C4—118no—
1140C22⋊C4—118no—
1141C22⋊C4—118no—
1142C22⋊C4C23×D1118yes—
1143C22⋊C4C23×D1118yes—
1144C22⋊C4C23×D1118yes—
1145C22⋊C4C23×D1118yescomplemented
1146C22⋊C4C23×D1114yescomplemented
1147C22⋊C4C23×D1114yescomplemented
1148C22⋊C4C23×D1118yescomplemented
1149C42—114no—
1150C42—118no—
1151C42—114no—
1152C42—118no—
1153C11C2×#353211yescharacteristic, complemented, Sylow
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—22no—
1158C23—28no—
1159C23—22no—
1160C23—22no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—24no—
1166C23—24no—
1167C23—28no—
1168C23—48no—
1169C23—44no—
1170C23—48no—
1171C23—48no—
1172C23—416no—
1173C23—88no—
1174C23—88no—
1175C23—118no—
1176C23—114no—
1177C23—114no—
1178C23—114no—
1179C23—2216no—
1180C23—2216no—
1181C23—2216no—
1182C23—2216no—
1183C23—224no—
1184C23—224no—
1185C23—224no—
1186C23—2216no—
1187C23—224no—
1188C23—224no—
1189C23—224no—
1190C23—224no—
1191C23—224no—
1192C23—448no—
1193C23—448no—
1194C23—448no—
1195C23—444no—
1196C23—448no—
1197C23—444no—
1198C23—448no—
1199C23—448no—
1200C23—4432no—
1201C23—4416no—
1202C23—4432no—
1203C23—44128no—
1204C23—4416no—
1205C23—8816no—
1206C23#6703714yes—
1207C23C24×D1112yes—
1208C23C24×D1112yes—
1209C23C24×D1114yes—
1210C23C24×D1112yes—
1211C23C24×D1112yes—
1212C23C24×D1112yes—
1213C23C24×D1111yescharacteristic
1214Q8—448no—
1215Q8—444no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—2216no—
1225D4—2216no—
1226D4—2216no—
1227D4—2216no—
1228D4—2216no—
1229D4—448no—
1230D4—448no—
1231D4—444no—
1232D4—448no—
1233D4—448no—
1234D4—448no—
1235D4—448no—
1236D4—448no—
1237D4—448no—
1238D4—448no—
1239D4—448no—
1240D4—448no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—28no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—24no—
1247C2×C4—44no—
1248C2×C4—48no—
1249C2×C4—114no—
1250C2×C4—114no—
1251C2×C4—114no—
1252C2×C4—114no—
1253C2×C4—114no—
1254C2×C4—2216no—
1255C2×C4—224no—
1256C2×C4—224no—
1257C2×C4—224no—
1258C2×C4—224no—
1259C2×C4—224no—
1260C2×C4—448no—
1261C2×C4—448no—
1262C2×C4—448no—
1263C2×C4—448no—
1264C2×C4—448no—
1265C2×C4—448no—
1266C2×C4C24×D1112yes—
1267C2×C4C24×D1114yes—
1268C2×C4C24×D1114yes—
1269C2×C4C24×D1112yes—
1270C2×C4C24×D1114yes—
1271C22—24no—
1272C22—28no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—22no—
1280C22—24no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—48no—
1289C22—44no—
1290C22—88no—
1291C22—88no—
1292C22—118no—
1293C22—224no—
1294C22—224no—
1295C22—2216no—
1296C22—224no—
1297C22—224no—
1298C22—224no—
1299C22—224no—
1300C22—224no—
1301C22—224no—
1302C22—4432no—
1303C22—4416no—
1304C22—4432no—
1305C22—4416no—
1306C22—448no—
1307C22—448no—
1308C22—8816no—
1309C22C2×#6703714yes—
1310C22C2×#6703712yes—
1311C22D11×H(5,𝔽2)14yes—
1312C22C25×D1111yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—224no—
1319C4—224no—
1320C4—224no—
1321C4—224no—
1322C4—224no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—44no—
1328C2—42no—
1329C2—228no—
1330C2—444no—
1331C2—444no—
1332C2#1308276814yesdirect product factor
1333C2C2×D11×H(5,𝔽2)12yes—
1334C2C22×#6703711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#534C2
socleC23×C11C25
hypercenterC2×#534D11
hypocenterC11C2×#3532
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #13082768C2direct (N × H)
2. C2×#10623125C2semidirect
3. C2×#10623197C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623190C2semidirect
6. C2×#10623189C2semidirect
7. C2×#10623143C2semidirect
8. C2×#10623185C2semidirect
9. C2×#10623021C2semidirect
10. C2×D4×C22⋊D11C2semidirect
11. C2×#10623121C2semidirect
12. C2×#10623188C2semidirect
13. C2×#10623124C2semidirect
14. C2×#10623144C2semidirect
15. C2×#10623336C2semidirect
16. C2×#10623138C2semidirect
17. C2×#10623120C2semidirect
18. C22×#66990C2semidirect
19. C2×D11×#120C2semidirect
20. C2×C11×#534C2semidirect
21. C25×D11C22semidirect
22. C23×D4×C11C22semidirect
23. C23×D4×C11C22semidirect
24. C23×C22⋊D11C22semidirect
25. C23×C22⋊D11C22semidirect
26. C22×D4×D11C22semidirect
27. C22×D4×D11C22semidirect
28. C22×D4×D11C22semidirect
29. C22×#4339C22semidirect
30. C22×#4339C22semidirect
31. C11×#534C22semidirect
32. C2×C11×#123C22semidirect
33. C2×C11×#123C22semidirect
34. C2×C11×#123C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C11×#121C22semidirect
37. C2×C11×#120C22semidirect
38. C2×C11×#120C22semidirect
39. C2×C11×#120C22semidirect
40. C22×C11×C22⋊C4C22semidirect
41. C2×#67006C22semidirect
42. C2×#67006C22semidirect
43. C2×#67006C22semidirect
44. C22×C22⋊Dic11C22semidirect
45. #10623336C22semidirect
46. C2×#66993C22semidirect
47. C2×#66993C22semidirect
48. C2×#66993C22semidirect
49. C2×#66992C22semidirect
50. C2×#66992C22semidirect
51. C2×#66992C22semidirect
52. D4×C22⋊D11C22semidirect
53. C2×#66991C22semidirect
54. C2×#66991C22semidirect
55. C2×#66991C22semidirect
56. C2×#66991C22semidirect
59. C2×#66990C22semidirect
60. C2×#66990C22semidirect
61. C2×#66990C22semidirect
62. C2×#66990C22semidirect
63. C2×#66990C22semidirect
64. C2×#66990C22semidirect
65. C2×#66990C22semidirect
66. C2×#66990C22semidirect
67. C2×#66990C22semidirect
68. C2×#66989C22semidirect
69. C2×#66989C22semidirect
70. C2×#66989C22semidirect
71. C2×#66988C22semidirect
72. C2×D4×Dic11C22semidirect
73. C2×#66983C22semidirect
74. C2×#66983C22semidirect
75. C2×#66982C22semidirect
76. C2×C4×C22⋊D11C22semidirect
77. C2×C4×C22⋊D11C22semidirect
78. C22×(C2×D11)⋊C4C22semidirect
79. C2×#66979C22semidirect
80. #10623197C22semidirect
81. #10623190C22semidirect
82. #10623189C22semidirect
83. #10623188C22semidirect
84. #10623185C22semidirect
85. #10623151C22semidirect
86. #10623144C22semidirect
87. #10623143C22semidirect
88. #10623138C22semidirect
89. #10623125C22semidirect
90. #10623124C22semidirect
91. #10623121C22semidirect
92. #10623120C22semidirect
93. D11×#120C22semidirect
94. C2×#66951C22semidirect
95. C2×#66951C22semidirect
96. C2×#66950C22semidirect
97. C2×#66949C22semidirect
98. C2×#66948C22semidirect
99. C2×#66947C22semidirect
100. C2×#66946C22semidirect
101. C2×#66945C22semidirect
102. C2×#66939C22semidirect
103. C2×#66938C22semidirect
104. C2×#66938C22semidirect
105. C2×#66938C22semidirect
106. C2×#66938C22semidirect
107. #10623021C22semidirect
108. C2×#66937C22semidirect
109. C2×#66937C22semidirect
110. C2×#66937C22semidirect
111. C2×#66936C22semidirect
112. C2×#66936C22semidirect
113. C2×#66936C22semidirect
114. C2×#66935C22semidirect
115. C2×#66935C22semidirect
116. C2×#66935C22semidirect
117. C2×#66935C22semidirect
118. C2×(C22⋊D11)⋊C4C22semidirect
119. C2×(C22⋊D11)⋊C4C22semidirect
120. C2×C22⋊C4×D11C22semidirect
121. C2×C22⋊C4×D11C22semidirect
122. C2×C22⋊C4×D11C22semidirect
123. C2×C22⋊C4×D11C22semidirect
124. C2×#66932C22semidirect
125. C2×#66932C22semidirect
126. C2×#66931C22semidirect
129. C25×C11C23semidirect
137. C24×D11C23semidirect
147. C22×D4×C11C23semidirect
148. C22×D4×C11C23semidirect
149. C22×D4×C11C23semidirect
151. C23×C4×C11C23semidirect
152. C23×C4×C11C23semidirect
165. C22×C22⋊D11C23semidirect
166. C22×C22⋊D11C23semidirect
167. C22×C22⋊D11C23semidirect
168. C22×C22⋊D11C23semidirect
169. C22×C22⋊D11C23semidirect
171. C23×Dic11C23semidirect
175. C2×D4×D11C23semidirect
176. C2×D4×D11C23semidirect
177. C2×D4×D11C23semidirect
180. C2×#4339C23semidirect
181. C2×#4339C23semidirect
185. C22×D44C23semidirect
189. C22×C4×D11C23semidirect
190. C22×C4×D11C23semidirect
191. C22×Dic22C23semidirect
192. C22×Dic22C23semidirect
193. C11×#123C23semidirect
194. C11×#123C23semidirect
195. C11×#123C23semidirect
196. C11×#121C23semidirect
197. C11×#121C23semidirect
198. C11×#120C23semidirect
199. C11×#120C23semidirect
200. C11×#120C23semidirect
201. C2×C11×C4⋊C4C23semidirect
202. C2×C11×C4⋊C4C23semidirect
206. C2×C11×C22⋊C4C23semidirect
207. C2×C11×C22⋊C4C23semidirect
208. C2×C11×C22⋊C4C23semidirect
209. C2×C11×C22⋊C4C23semidirect
210. C2×C11×C22⋊C4C23semidirect
211. #67006C23semidirect
212. #67006C23semidirect
213. #67006C23semidirect
220. C2×C22⋊Dic11C23semidirect
221. C2×C22⋊Dic11C23semidirect
222. C2×C22⋊Dic11C23semidirect
223. C2×C22⋊Dic11C23semidirect
224. C2×C22⋊Dic11C23semidirect
225. #66993C23semidirect
226. #66993C23semidirect
227. #66993C23semidirect
228. #66992C23semidirect
229. #66992C23semidirect
230. #66992C23semidirect
231. #66991C23semidirect
232. #66991C23semidirect
233. #66991C23semidirect
234. #66991C23semidirect
237. #66990C23semidirect
238. #66990C23semidirect
239. #66990C23semidirect
240. #66990C23semidirect
241. #66990C23semidirect
242. #66990C23semidirect
243. #66990C23semidirect
244. #66990C23semidirect
245. #66989C23semidirect
246. #66989C23semidirect
247. #66989C23semidirect
248. #66988C23semidirect
249. D4×Dic11C23semidirect
250. #66983C23semidirect
251. #66983C23semidirect
252. #66982C23semidirect
253. C4×C22⋊D11C23semidirect
254. C4×C22⋊D11C23semidirect
265. C2×(C2×D11)⋊C4C23semidirect
266. C2×(C2×D11)⋊C4C23semidirect
267. C2×(C2×D11)⋊C4C23semidirect
268. #66979C23semidirect
269. C2×C4⋊Dic11C23semidirect
270. C2×C4⋊Dic11C23semidirect
271. C2×C4⋊Dic11C23semidirect
272. C2×Dic11⋊C4C23semidirect
273. C2×Dic11⋊C4C23semidirect
274. C2×Dic11⋊C4C23semidirect
275. C2×Dic11⋊C4C23semidirect
276. C2×C4×Dic11C23semidirect
277. C2×C4×Dic11C23semidirect
278. C2×C4×Dic11C23semidirect
279. C2×C4×Dic11C23semidirect
280. #66951C23semidirect
281. #66951C23semidirect
282. #66950C23semidirect
283. #66949C23semidirect
284. #66948C23semidirect
285. #66947C23semidirect
286. #66946C23semidirect
287. #66945C23semidirect
288. #66939C23semidirect
289. #66938C23semidirect
290. #66938C23semidirect
291. #66938C23semidirect
292. #66938C23semidirect
293. #66937C23semidirect
294. #66937C23semidirect
295. #66937C23semidirect
296. #66936C23semidirect
297. #66936C23semidirect
298. #66936C23semidirect
299. #66935C23semidirect
300. #66935C23semidirect
301. #66935C23semidirect
302. #66935C23semidirect
303. (C22⋊D11)⋊C4C23semidirect
304. (C22⋊D11)⋊C4C23semidirect
305. C22⋊C4×D11C23semidirect
306. C22⋊C4×D11C23semidirect
307. C22⋊C4×D11C23semidirect
308. C22⋊C4×D11C23semidirect
309. #66932C23semidirect
310. #66932C23semidirect
311. #66931C23semidirect
327. C24×C11C24semidirect
369. C2×D4×C11C24semidirect
379. C22×C4×C11C24semidirect
380. C22×C4×C11C24semidirect
406. C2×C22⋊D11C24semidirect
407. C2×C22⋊D11C24semidirect
408. C2×C22⋊D11C24semidirect
417. C22×Dic11C24semidirect
430. C2×D44C24semidirect
439. C2×C4×D11C24semidirect
440. C2×C4×D11C24semidirect
443. C2×Dic22C24semidirect
444. C2×Dic22C24semidirect
445. C11×C4⋊C4C24semidirect
446. C11×C4⋊C4C24semidirect
450. C11×C22⋊C4C24semidirect
451. C11×C22⋊C4C24semidirect
452. C11×C22⋊C4C24semidirect
453. C11×C22⋊C4C24semidirect
460. C22⋊Dic11C24semidirect
461. C22⋊Dic11C24semidirect
462. C22⋊Dic11C24semidirect
463. C22⋊Dic11C24semidirect
474. (C2×D11)⋊C4C24semidirect
475. (C2×D11)⋊C4C24semidirect
476. C4⋊Dic11C24semidirect
477. C4⋊Dic11C24semidirect
478. C4⋊Dic11C24semidirect
479. Dic11⋊C4C24semidirect
480. Dic11⋊C4C24semidirect
481. Dic11⋊C4C24semidirect
482. Dic11⋊C4C24semidirect
483. C4×Dic11C24semidirect
484. C4×Dic11C24semidirect
485. C4×Dic11C24semidirect
486. C4×Dic11C24semidirect
504. C2×#534D11semidirect
632. C23×D4C2×D11semidirect
633. C23×D4C2×D11semidirect
650. #534C2×D11semidirect
672. C2×#123C2×D11semidirect
673. C2×#123C2×D11semidirect
674. C2×#123C2×D11semidirect
691. C2×#121C2×D11semidirect
692. C2×#121C2×D11semidirect
712. C2×#120C2×D11semidirect
713. C2×#120C2×D11semidirect
714. C2×#120C2×D11semidirect
729. C22×C22⋊C4C2×D11semidirect
792. C25C22×D11semidirect
835. C22×D4C22×D11semidirect
836. C22×D4C22×D11semidirect
837. C22×D4C22×D11semidirect
846. C23×C4C22×D11semidirect
847. C23×C4C22×D11semidirect
869. #123C22×D11semidirect
870. #123C22×D11semidirect
871. #123C22×D11semidirect
888. #121C22×D11semidirect
889. #121C22×D11semidirect
907. #120C22×D11semidirect
908. #120C22×D11semidirect
909. #120C22×D11semidirect
925. C2×C4⋊C4C22×D11semidirect
926. C2×C4⋊C4C22×D11semidirect
958. C2×C22⋊C4C22×D11semidirect
959. C2×C22⋊C4C22×D11semidirect
960. C2×C22⋊C4C22×D11semidirect
961. C2×C22⋊C4C22×D11semidirect
962. C2×C22⋊C4C22×D11semidirect
973. C2×C11#3532semidirect
1017. C24C23×D11semidirect
1080. C2×D4C23×D11semidirect
1109. C22×C4C23×D11semidirect
1110. C22×C4C23×D11semidirect
1118. C4⋊C4C23×D11semidirect
1119. C4⋊C4C23×D11semidirect
1145. C22⋊C4C23×D11semidirect
1146. C22⋊C4C23×D11semidirect
1147. C22⋊C4C23×D11semidirect
1148. C22⋊C4C23×D11semidirect
1153. C11C2×#3532semidirect
1332. C2#13082768direct (N × H)

Maximal subgroups

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

subgroupindex
#130827682
C2×#106231252
C2×#106231972
C2×#106231512
C2×#106231902
C2×#106231892
C2×#106231432
C2×#106231852
C2×#106230212
C2×D4×C22⋊D112
C2×#106231212
C2×#106231882
C2×#106231242
C2×#106231442
C2×#106233362
C2×#106231382
C2×#106231202
C22×#669902
C2×D11×#1202
C2×C11×#5342
C2×#353211