Finite Group Databasebeta

← C2×#13082771 #15660895

Subgroups — C2×#13082771 #15660895

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#13082771C2132yesmaximal, direct product factor
2C2×#10623125C211yesmaximal, characteristic, complemented
3C2×#10623126C211yesmaximal, characteristic, complemented
4C2×#10623126C212yesmaximal, complemented
5C2×#10623118C211yesmaximal, characteristic, complemented
6C2×#10623026C212yesmaximal, complemented
7C2×#10623337C212yesmaximal, complemented
8C2×#10623021C212yesmaximal, complemented
9C2×#10623122C212yesmaximal, complemented
10C2×D4×C22⋊D11C212yesmaximal, complemented
11C2×#10623121C211yesmaximal, characteristic, complemented
12C2×#10623025C212yesmaximal, complemented
13C2×#10623124C212yesmaximal, complemented
14C2×#10623124C212yesmaximal, complemented
15C2×#10623336C211yesmaximal, characteristic, complemented
16C2×#10623123C212yesmaximal, complemented
17C2×#10623120C212yesmaximal, complemented
18C2×#10623335C211yesmaximal, characteristic, complemented
19C22×#67006C212yesmaximal, complemented
20C22×C11×#120C211yesmaximal, characteristic, complemented
21C26×C11C2211yescharacteristic, complemented
22C23×D4×C11C2211yescharacteristic, complemented
23C23×D4×C11C2212yescomplemented
24C23×C22⋊D11C2212yescomplemented
25C23×C22⋊D11C2212yescomplemented
26C23×C22⋊D11C2212yescomplemented
27C23×C22⋊D11C2211yescharacteristic, complemented
28C22×#4341C2212yescomplemented
29C22×D4×D11C2212yescomplemented
30C22×#4339C2211yescharacteristic, complemented
31C2×C11×#120C2211yescharacteristic
32C2×C11×#120C2212yescomplemented
33C2×C11×#120C2212yescomplemented
34C2×C11×#120C2211yescharacteristic, complemented
35C2×C11×#120C2211yescharacteristic, complemented
36C2×C11×#120C2211yescharacteristic, complemented
37C2×C11×#120C22116yescomplemented
38C22×C11×C22⋊C4C2212yescomplemented
39C22×C11×C22⋊C4C2211yescharacteristic, complemented
40C2×#67006C2212yes—
41C2×#67006C2212yescomplemented
42C2×#67006C2212yescomplemented
43C2×#67006C2212yescomplemented
44C2×#67006C2212yescomplemented
45C2×#67006C2212yescomplemented
46C2×#67006C2212yescomplemented
47C2×#67006C2212yescomplemented
48C2×#67006C2212yescomplemented
49C2×#67006C22132yescomplemented
50C22×C22⋊Dic11C2212yescomplemented
51C22×C22⋊Dic11C2212yescomplemented
52C22×C22⋊Dic11C2212yescomplemented
53C22×C22⋊Dic11C2211yescharacteristic, complemented
54#10623337C22132yescomplemented
55#10623336C22116yescomplemented
56#10623335C22116yescomplemented
57C2×#66993C2211yescharacteristic, complemented
58C2×#66993C2212yescomplemented
59C2×#66993C2211yescharacteristic, complemented
60C2×#66992C2212yescomplemented
61C2×#66992C2212yescomplemented
62C2×#66992C2212yescomplemented
63C2×#66992C2212yescomplemented
64C2×#66992C2212yescomplemented
65C2×#66992C2212yescomplemented
66D4×C22⋊D11C22132yescomplemented
67C2×#66991C2212yescomplemented
68C2×#66991C2212yescomplemented
69C2×#66991C2212yescomplemented
70C2×#66991C2212yescomplemented
71C2×#66990C2212yescomplemented
72C2×#66990C2211yescharacteristic, complemented
73C2×#66990C2211yescharacteristic, complemented
74C2×#66990C2212yescomplemented
75C2×#66989C2211yescharacteristic, complemented
76C2×#66989C2211yescharacteristic, complemented
77C2×#66989C2212yescomplemented
78C2×#66988C2211yescharacteristic, complemented
79C2×#66988C2211yescharacteristic, complemented
80C2×#66988C2212yescomplemented
81C2×#66988C2212yescomplemented
82C2×D4×Dic11C2212yescomplemented
83C2×D4×Dic11C2212yescomplemented
84C2×#66983C2212yescomplemented
85C2×#66982C2212yescomplemented
86C2×C4×C22⋊D11C2212yescomplemented
87C2×C4×C22⋊D11C2212yescomplemented
88C2×#66979C2211yescharacteristic, complemented
89C2×#66977C2212yescomplemented
90#10623126C22132yescomplemented
91#10623126C22116yescomplemented
92#10623125C22116yescomplemented
93#10623124C22132yescomplemented
94#10623124C22132yescomplemented
95#10623123C22132yescomplemented
96#10623122C22132yescomplemented
97#10623121C22116yescomplemented
98#10623120C22132yescomplemented
99#10623118C22116yescomplemented
100#10623026C22132yescomplemented
101#10623025C22132yescomplemented
102C2×#66939C2212yescomplemented
103C2×#66938C2212yescomplemented
104C2×#66938C2212yescomplemented
105C2×#66938C2212yescomplemented
106C2×#66938C2212yescomplemented
107#10623021C22132yescomplemented
108C2×#66937C2212yescomplemented
109C2×#66937C2212yescomplemented
110C2×#66937C2212yescomplemented
111C2×#66937C2212yescomplemented
112C2×#66936C2212yescomplemented
113C2×#66936C2212yescomplemented
114C2×#66936C2212yescomplemented
115C2×#66936C2212yescomplemented
116C2×#66935C2212yescomplemented
117C2×(C22⋊D11)⋊C4C2212yescomplemented
118C2×(C22⋊D11)⋊C4C2212yescomplemented
119C2×C22⋊C4×D11C2212yescomplemented
120C2×#66932C2212yescomplemented
121C2×#66932C2212yescomplemented
122C2×#66932C2212yescomplemented
123C2×#66932C2212yescomplemented
124C2×#66931C2212yescomplemented
125C2×#66931C2212yescomplemented
126C2×#66930C2212yescomplemented
127C25×C11—48no—
128C25×C11—44no—
129C25×C11C2311yescharacteristic
130C25×C11C2312yes—
131C25×C11C2312yes—
132C25×C11C2311yescharacteristic
133C25×C11C2311yescharacteristic
134C25×C11C2311yescharacteristic
135C25×C11C2318yescomplemented
136C24×D11C2312yes—
137C24×D11C2311yescharacteristic, complemented
138C22×D4×C11—44no—
139C22×D4×C11—48no—
140C22×D4×C11C2312yes—
141C22×D4×C11C2312yes—
142C22×D4×C11C2311yescharacteristic
143C22×D4×C11C2311yescharacteristic
144C22×D4×C11C2312yes—
145C22×D4×C11C2312yes—
146C22×D4×C11C2311yescharacteristic
147C22×D4×C11C2311yescharacteristic
148C22×D4×C11C23116yescomplemented
149C22×D4×C11C2318yescomplemented
150C23×C4×C11C2311yescharacteristic
151C23×C4×C11C2312yes—
152C22×C22⋊D11—48no—
153C22×C22⋊D11—48no—
154C22×C22⋊D11—48no—
155C22×C22⋊D11—44no—
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⋊D11C2312yes—
166C22×C22⋊D11C2312yes—
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C23116yescomplemented
169C22×C22⋊D11C23116yescomplemented
170C22×C22⋊D11C23116yescomplemented
171C22×C22⋊D11C2312yescomplemented
172C22×C22⋊D11C2312yescomplemented
173C22×C22⋊D11C2312yescomplemented
174C22×C22⋊D11C2318yescomplemented
175C23×Dic11C2312yes—
176C23×Dic11C2312yes—
177C23×Dic11C2312yes—
178C23×Dic11C2311yescharacteristic, complemented
179C23×Dic11C2312yescomplemented
180C2×#4341—48no—
181C2×#4341C23116yescomplemented
182C2×D4×D11—48no—
183C2×D4×D11C23116yescomplemented
184C2×#4339—44no—
185C2×#4339C2318yescomplemented
186C22×D44C2311yescharacteristic, complemented
187C22×D44C2312yescomplemented
188C22×C4×D11C2312yescomplemented
189C22×C4×D11C2312yescomplemented
190C22×C4×D11C2312yescomplemented
191C22×Dic22C2311yescharacteristic, complemented
192C22×Dic22C2312yescomplemented
193C11×#120C2318yes—
194C11×#120C23116yescomplemented
195C11×#120C2318yescomplemented
196C11×#120C23116yescomplemented
197C11×#120C2318yescomplemented
198C11×#120C2318yescomplemented
199C2×C11×C22⋊C4C2312yes—
200C2×C11×C22⋊C4C2312yes—
201C2×C11×C22⋊C4C2311yescharacteristic
202C2×C11×C22⋊C4C2312yes—
203C2×C11×C22⋊C4C2312yes—
204C2×C11×C22⋊C4C2312yes—
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C23116yescomplemented
207C2×C11×C22⋊C4C2318yescomplemented
208#67006C23116yes—
209#67006C23116yescomplemented
210#67006C23116yescomplemented
211#67006C23116yescomplemented
212#67006C23116yescomplemented
213#67006C23116yescomplemented
214#67006C23116yescomplemented
215#67006C23116yescomplemented
216#67006C23116yescomplemented
217C2×C22⋊Dic11C2312yes—
218C2×C22⋊Dic11C2312yes—
219C2×C22⋊Dic11C2312yes—
220C2×C22⋊Dic11C2312yes—
221C2×C22⋊Dic11C2312yes—
222C2×C22⋊Dic11C2312yes—
223C2×C22⋊Dic11C2312yes—
224C2×C22⋊Dic11C2312yes—
225C2×C22⋊Dic11C2312yes—
226C2×C22⋊Dic11C2312yes—
227C2×C22⋊Dic11C2312yes—
228C2×C22⋊Dic11C2312yes—
229C2×C22⋊Dic11C23116yescomplemented
230C2×C22⋊Dic11C23116yescomplemented
231C2×C22⋊Dic11C23116yescomplemented
232C2×C22⋊Dic11C2318yescomplemented
233C2×C22⋊Dic11C2312yescomplemented
234C2×C22⋊Dic11C2312yescomplemented
235C2×C22⋊Dic11C2311yescharacteristic, complemented
236C2×C22⋊Dic11C2311yescharacteristic, complemented
237#66993C23116yescomplemented
238#66993C2318yescomplemented
239#66993C2318yescomplemented
240#66992C23116yescomplemented
241#66992C23116yescomplemented
242#66992C23116yescomplemented
243#66992C23116yescomplemented
244#66992C23116yescomplemented
245#66992C23116yescomplemented
246#66991C23116yescomplemented
247#66991C23116yescomplemented
248#66991C23116yescomplemented
249#66991C23116yescomplemented
250#66990C23116yescomplemented
251#66990C23116yescomplemented
252#66990C2318yescomplemented
253#66990C2318yescomplemented
254#66989C2318yescomplemented
255#66989C2318yescomplemented
256#66989C23116yescomplemented
257#66988C2318yescomplemented
258#66988C2318yescomplemented
259#66988C23116yescomplemented
260#66988C23116yescomplemented
261D4×Dic11C23116yescomplemented
262D4×Dic11C23116yescomplemented
263#66983C23116yescomplemented
264#66982C23116yescomplemented
265C4×C22⋊D11C23116yescomplemented
266C4×C22⋊D11C23116yescomplemented
267C2×(C2×D11)⋊C4C2312yescomplemented
268C2×(C2×D11)⋊C4C2312yescomplemented
269C2×(C2×D11)⋊C4C2312yescomplemented
270C2×(C2×D11)⋊C4C2312yescomplemented
271C2×(C2×D11)⋊C4C2312yescomplemented
272C2×(C2×D11)⋊C4C2312yescomplemented
273#66979C2318yescomplemented
274C2×C4⋊Dic11C2312yescomplemented
275C2×C4⋊Dic11C2312yescomplemented
276C2×C4⋊Dic11C2312yescomplemented
277#66977C23116yescomplemented
278C2×Dic11⋊C4C2312yescomplemented
279C2×Dic11⋊C4C2312yescomplemented
280C2×Dic11⋊C4C2312yescomplemented
281C2×Dic11⋊C4C2312yescomplemented
282C2×Dic11⋊C4C2312yescomplemented
283C2×Dic11⋊C4C2312yescomplemented
284C2×C4×Dic11C2311yescharacteristic, complemented
285C2×C4×Dic11C2312yescomplemented
286C2×C4×Dic11C2311yescharacteristic, complemented
287C2×C4×Dic11C2312yescomplemented
288#66939C23116yescomplemented
289#66938C23116yescomplemented
290#66938C23116yescomplemented
291#66938C23116yescomplemented
292#66938C23116yescomplemented
293#66937C23116yescomplemented
294#66937C23116yescomplemented
295#66937C23116yescomplemented
296#66937C23116yescomplemented
297#66936C23116yescomplemented
298#66936C23116yescomplemented
299#66936C23116yescomplemented
300#66936C23116yescomplemented
301#66935C23116yescomplemented
302(C22⋊D11)⋊C4C23116yescomplemented
303(C22⋊D11)⋊C4C23116yescomplemented
304C22⋊C4×D11C23116yescomplemented
305#66932C23116yescomplemented
306#66932C23116yescomplemented
307#66932C23116yescomplemented
308#66932C23116yescomplemented
309#66931C23116yescomplemented
310#66931C23116yescomplemented
311#66930C23116yescomplemented
312C2×#3532—111nomaximal, Sylow
313C24×C11—28no—
314C24×C11—28no—
315C24×C11—28no—
316C24×C11—28no—
317C24×C11—24no—
318C24×C11—24no—
319C24×C11—42no—
320C24×C11—44no—
321C24×C11—44no—
322C24×C11—44no—
323C24×C11—44no—
324C24×C11—44no—
325C24×C11—42no—
326C24×C11—416no—
327C24×C11—432no—
328C24×C11—44no—
329C24×C11—464no—
330C24×C11C2412yes—
331C24×C11C2411yescharacteristic
332C24×C11C2411yescharacteristic
333C24×C11C2411yescharacteristic
334C24×C11C2411yescharacteristic
335C24×C11C2414yes—
336C24×C11C2418yes—
337C24×C11C2411yescharacteristic
338C24×C11C2412yes—
339C24×C11C2418yes—
340C24×C11C2414yes—
341C24×C11C2414yes—
342C24×C11C2414yes—
343C23×D11—28no—
344C23×D11—44no—
345C23×D11—44no—
346C23×D11—44no—
347C23×D11—42no—
348C23×D11C2412yes—
349C23×D11C2412yes—
350C23×D11C2418yes—
351C23×D11C2414yescomplemented
352C2×D4×C11—28no—
353C2×D4×C11—28no—
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—432no—
362C2×D4×C11C2418yes—
363C2×D4×C11C2418yes—
364C2×D4×C11C2414yes—
365C2×D4×C11C2414yes—
366C2×D4×C11C2418yes—
367C2×D4×C11C2418yes—
368C2×D4×C11C2414yes—
369C2×D4×C11C2414yes—
370C22×C4×C11—24no—
371C22×C4×C11—44no—
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2412yes—
374C22×C4×C11C2412yes—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2414yes—
377C22×C4×C11C2418yes—
378C2×C22⋊D11—28no—
379C2×C22⋊D11—28no—
380C2×C22⋊D11—28no—
381C2×C22⋊D11—28no—
382C2×C22⋊D11—44no—
383C2×C22⋊D11—44no—
384C2×C22⋊D11—44no—
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—432no—
394C2×C22⋊D11—432no—
395C2×C22⋊D11—432no—
396C2×C22⋊D11—416no—
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⋊D11C2418yes—
407C2×C22⋊D11C2418yes—
408C2×C22⋊D11C2418yes—
409C2×C22⋊D11C2418yescomplemented
410C2×C22⋊D11C2418yescomplemented
411C2×C22⋊D11C2418yescomplemented
412C22×Dic11—28no—
413C22×Dic11—44no—
414C22×Dic11—44no—
415C22×Dic11—44no—
416C22×Dic11—42no—
417C22×Dic11C2418yes—
418C22×Dic11C2412yes—
419C22×Dic11C2412yes—
420C22×Dic11C2412yes—
421C22×Dic11C2412yes—
422C22×Dic11C2412yes—
423C22×Dic11C2412yes—
424C22×Dic11C2418yes—
425C22×Dic11C2418yes—
426C22×Dic11C2414yescomplemented
427C22×Dic11C2418yescomplemented
428#4341—432no—
429D4×D11—432no—
430#4339—416no—
431C2×D44—42no—
432C2×D44—44no—
433C2×D44C2414yescomplemented
434C2×D44C2418yescomplemented
435C2×C4×D11—44no—
436C2×C4×D11—44no—
437C2×C4×D11—44no—
438C2×C4×D11C2418yescomplemented
439C2×C4×D11C2418yescomplemented
440C2×C4×D11C2418yescomplemented
441C2×Dic22—42no—
442C2×Dic22—44no—
443C2×Dic22C2414yescomplemented
444C2×Dic22C2418yescomplemented
445C11×C22⋊C4C2418yes—
446C11×C22⋊C4C2418yes—
447C11×C22⋊C4C2414yes—
448C11×C22⋊C4C2418yes—
449C11×C22⋊C4C2418yes—
450C11×C22⋊C4C2418yes—
451C11×C22⋊C4C2414yes—
452C22⋊Dic11C2418yes—
453C22⋊Dic11C2418yes—
454C22⋊Dic11C2418yes—
455C22⋊Dic11C2418yes—
456C22⋊Dic11C2418yes—
457C22⋊Dic11C2418yes—
458C22⋊Dic11C2418yes—
459C22⋊Dic11C2418yes—
460C22⋊Dic11C2418yes—
461C22⋊Dic11C2418yes—
462C22⋊Dic11C2418yes—
463C22⋊Dic11C2418yes—
464C22⋊Dic11C2418yescomplemented
465C22⋊Dic11C2418yescomplemented
466C22⋊Dic11C2414yescomplemented
467C22⋊Dic11C2414yescomplemented
468(C2×D11)⋊C4C2418yescomplemented
469(C2×D11)⋊C4C2418yescomplemented
470(C2×D11)⋊C4C2418yescomplemented
471(C2×D11)⋊C4C2418yescomplemented
472(C2×D11)⋊C4C2418yescomplemented
473(C2×D11)⋊C4C2418yescomplemented
474C4⋊Dic11C2418yescomplemented
475C4⋊Dic11C2418yescomplemented
476C4⋊Dic11C2418yescomplemented
477Dic11⋊C4C2418yescomplemented
478Dic11⋊C4C2418yescomplemented
479Dic11⋊C4C2418yescomplemented
480Dic11⋊C4C2418yescomplemented
481Dic11⋊C4C2418yescomplemented
482Dic11⋊C4C2418yescomplemented
483C4×Dic11C2414yescomplemented
484C4×Dic11C2418yescomplemented
485C4×Dic11C2414yescomplemented
486C4×Dic11C2418yescomplemented
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—111no—
504C2×#534—112no—
505C22×#120—112no—
506C22×#120D1111yescharacteristic, complemented
507C23×C11—24no—
508C23×C11—24no—
509C23×C11—24no—
510C23×C11—24no—
511C23×C11—22no—
512C23×C11—22no—
513C23×C11—216no—
514C23×C11—216no—
515C23×C11—216no—
516C23×C11—24no—
517C23×C11—24no—
518C23×C11—24no—
519C23×C11—24no—
520C23×C11—24no—
521C23×C11—216no—
522C23×C11—28no—
523C23×C11—24no—
524C23×C11—22no—
525C23×C11—22no—
526C23×C11—28no—
527C23×C11—48no—
528C23×C11—48no—
529C23×C11—44no—
530C23×C11—48no—
531C23×C11—48no—
532C23×C11—44no—
533C23×C11—48no—
534C23×C11—48no—
535C23×C11—416no—
536C23×C11—432no—
537C23×C11—432no—
538C23×C11—416no—
539C23×C11—4128no—
540C23×C11—416no—
541C23×C11—88no—
542C23×C11H(5,𝔽2)18yes—
543C23×C11H(5,𝔽2)14yes—
544C23×C11C2514yes—
545C23×C11C2512yes—
546C23×C11C2512yes—
547C23×C11C2512yes—
548C23×C11C2512yes—
549C23×C11C2512yes—
550C23×C11C2514yes—
551C23×C11C2511yescharacteristic
552C22×D11—24no—
553C22×D11—24no—
554C22×D11—24no—
555C22×D11—24no—
556C22×D11—24no—
557C22×D11—24no—
558C22×D11—216no—
559C22×D11—48no—
560C22×D11—48no—
561C22×D11—48no—
562C22×D11—44no—
563C22×D11—816no—
564C22×D11—88no—
565C22×D11C2514yes—
566C22×D11C2514yes—
567D4×C11—216no—
568D4×C11—216no—
569D4×C11—44no—
570D4×C11—44no—
571D4×C11—44no—
572D4×C11—44no—
573D4×C11—48no—
574D4×C11—48no—
575C2×C4×C11—24no—
576C2×C4×C11—22no—
577C2×C4×C11—22no—
578C2×C4×C11—24no—
579C2×C4×C11—28no—
580C2×C4×C11—48no—
581C2×C4×C11C2512yes—
582C2×C4×C11C2514yes—
583C2×C4×C11C2514yes—
584C2×C4×C11C2512yes—
585C22⋊D11—216no—
586C22⋊D11—216no—
587C22⋊D11—216no—
588C22⋊D11—216no—
589C22⋊D11—48no—
590C22⋊D11—48no—
591C22⋊D11—48no—
592C22⋊D11—48no—
593C22⋊D11—48no—
594C22⋊D11—48no—
595C22⋊D11—48no—
596C22⋊D11—48no—
597C22⋊D11—48no—
598C22⋊D11—48no—
599C22⋊D11—48no—
600C2×Dic11—24no—
601C2×Dic11—24no—
602C2×Dic11—24no—
603C2×Dic11—24no—
604C2×Dic11—24no—
605C2×Dic11—216no—
606C2×Dic11—24no—
607C2×Dic11—48no—
608C2×Dic11—48no—
609C2×Dic11—48no—
610C2×Dic11—44no—
611C2×Dic11C2514yes—
612C2×Dic11C2514yes—
613C2×Dic11C2514yes—
614C2×Dic11C2514yes—
615C2×Dic11C2514yes—
616C2×Dic11C2514yes—
617D44—44no—
618D44—48no—
619C4×D11—48no—
620C4×D11—48no—
621C4×D11—48no—
622Dic22—44no—
623Dic22—48no—
624C26C2×D1111yescharacteristic, complemented
625C22×#41—112no—
626C22×#41—111no—
627C23×D4—112no—
628C23×D4—112no—
629C23×D4—112no—
630C23×D4—111no—
631C23×D4—112no—
632C23×D4C2×D1111yescharacteristic, complemented
633C23×D4C2×D1112yescomplemented
634H(3,𝔽4)—1116no—
635#560—1116no—
636#560—1132no—
637#551—1116no—
638#551—1132no—
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—1116no—
650#534—1132no—
651C2×#127—111no—
652C2×#127—112no—
653C2×#127—111no—
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—111no—
666C2×#123—112no—
667C2×#123—111no—
668C2×#123—112no—
669C2×#123—112no—
670C2×#123—112no—
671C2×#123—112no—
672C2×#123—112no—
673C2×#123—112no—
674C2×#123—112no—
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×#121—112no—
692C2×#121—112no—
693C2×#120—112no—
694C2×#120—112no—
695C2×#120—112no—
696C2×#120—112no—
697C2×#120—112no—
698C2×#120—112no—
699C2×#120—112no—
700C2×#120—112no—
701C2×#120—112no—
702C2×#120—1132no—
703C2×#120—111no—
704C2×#120—111no—
705C2×#120—112no—
706C2×#120—112no—
707C2×#120—112no—
708C2×#120C2×D1111yescharacteristic
709C2×#120C2×D1112yescomplemented
710C2×#120C2×D1112yescomplemented
711C2×#120C2×D1111yescharacteristic, complemented
712C2×#120C2×D1111yescharacteristic, complemented
713C2×#120C2×D1111yescharacteristic, complemented
714C2×#120C2×D11116yescomplemented
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—112no—
724C22×C22⋊C4—112no—
725C22×C22⋊C4—112no—
726C22×C22⋊C4—111no—
727C22×C22⋊C4—112no—
728C22×C22⋊C4C2×D1111yescharacteristic, complemented
729C22×C22⋊C4C2×D1112yescomplemented
730C22×C11—24no—
731C22×C11—24no—
732C22×C11—24no—
733C22×C11—216no—
734C22×C11—28no—
735C22×C11—24no—
736C22×C11—24no—
737C22×C11—22no—
738C22×C11—22no—
739C22×C11—24no—
740C22×C11—22no—
741C22×C11—22no—
742C22×C11—24no—
743C22×C11—24no—
744C22×C11—24no—
745C22×C11—24no—
746C22×C11—416no—
747C22×C11—432no—
748C22×C11—432no—
749C22×C11—416no—
750C22×C11—416no—
751C22×C11—44no—
752C22×C11—44no—
753C22×C11—48no—
754C22×C11—44no—
755C22×C11—44no—
756C22×C11—88no—
757C22×C11C2×H(5,𝔽2)14yes—
758C22×C11C2×H(5,𝔽2)18yes—
759C22×C11C2×H(5,𝔽2)14yes—
760C22×C11C2×H(5,𝔽2)12yes—
761C22×C11C2611yescharacteristic
762C2×D11—24no—
763C2×D11—24no—
764C2×D11—24no—
765C2×D11—24no—
766C2×D11—24no—
767C2×D11—24no—
768C2×D11—48no—
769C2×D11—48no—
770C2×D11—816no—
771C2×D11—88no—
772C4×C11—22no—
773C4×C11—22no—
774C4×C11—24no—
775C4×C11—24no—
776Dic11—24no—
777Dic11—24no—
778Dic11—24no—
779Dic11—24no—
780Dic11—24no—
781Dic11—24no—
782C25—48no—
783C25—44no—
784C25—112no—
785C25—111no—
786C25C22×D1111yescharacteristic
787C25C22×D1112yes—
788C25C22×D1112yes—
789C25C22×D1111yescharacteristic
790C25C22×D1111yescharacteristic
791C25C22×D1111yescharacteristic
792C25C22×D1118yescomplemented
793C2×#41—1116no—
794C2×#41—118no—
795C2×#41—444no—
796C2×#41—448no—
797C22×Q8—112no—
798C22×Q8—111no—
799C22×D4—44no—
800C22×D4—48no—
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—112no—
813C22×D4—112no—
814C22×D4—1116no—
815C22×D4—1116no—
816C22×D4—1116no—
817C22×D4—112no—
818C22×D4—112no—
819C22×D4—118no—
820C22×D4—1116no—
821C22×D4—111no—
822C22×D4—112no—
823C22×D4—448no—
824C22×D4—448no—
825C22×D4—444no—
826C22×D4—448no—
827C22×D4—448no—
828C22×D4C22×D1112yes—
829C22×D4C22×D1112yes—
830C22×D4C22×D1111yescharacteristic
831C22×D4C22×D1111yescharacteristic
832C22×D4C22×D1112yes—
833C22×D4C22×D1111yescharacteristic
834C22×D4C22×D1112yes—
835C22×D4C22×D1111yescharacteristic
836C22×D4C22×D1118yescomplemented
837C22×D4C22×D11116yescomplemented
838C23×C4—112no—
839C23×C4—112no—
840C23×C4—112no—
841C23×C4—112no—
842C23×C4—111no—
843C23×C4—112no—
844C23×C4—112no—
845C23×C4—112no—
846C23×C4C22×D1111yescharacteristic
847C23×C4C22×D1112yes—
848#127—118no—
849#127—1116no—
850#127—118no—
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—118no—
863#123—1116no—
864#123—118no—
865#123—1116no—
866#123—1116no—
867#123—1116no—
868#123—1116no—
869#123—1116no—
870#123—1116no—
871#123—1116no—
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#121—1116no—
889#121—1116no—
890#120—1116no—
891#120—1116no—
892#120—1116no—
893#120—1116no—
894#120—1116no—
895#120—1116no—
896#120—1116no—
897#120—1116no—
898#120—1116no—
899#120—118no—
900#120—118no—
901#120—1116no—
902#120—1116no—
903#120—1116no—
904#120C22×D1118yes—
905#120C22×D11116yescomplemented
906#120C22×D11116yescomplemented
907#120C22×D1118yescomplemented
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⋊C4—112no—
926C2×C4⋊C4—112no—
927C2×C22⋊C4—112no—
928C2×C22⋊C4—112no—
929C2×C22⋊C4—112no—
930C2×C22⋊C4—112no—
931C2×C22⋊C4—112no—
932C2×C22⋊C4—112no—
933C2×C22⋊C4—112no—
934C2×C22⋊C4—112no—
935C2×C22⋊C4—112no—
936C2×C22⋊C4—112no—
937C2×C22⋊C4—112no—
938C2×C22⋊C4—112no—
939C2×C22⋊C4—1116no—
940C2×C22⋊C4—1116no—
941C2×C22⋊C4—1116no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—118no—
945C2×C22⋊C4—112no—
946C2×C22⋊C4—112no—
947C2×C22⋊C4—112no—
948C2×C22⋊C4—112no—
949C2×C22⋊C4—112no—
950C2×C22⋊C4—112no—
951C2×C22⋊C4—112no—
952C2×C22⋊C4—112no—
953C2×C22⋊C4—1116no—
954C2×C22⋊C4C22×D1112yes—
955C2×C22⋊C4C22×D1112yes—
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1112yes—
958C2×C22⋊C4C22×D1112yes—
959C2×C22⋊C4C22×D1112yes—
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1118yescomplemented
962C2×C22⋊C4C22×D11116yescomplemented
963C2×C42—111no—
964C2×C42—112no—
965C2×C42—111no—
966C2×C42—112no—
967C2×C11—28no—
968C2×C11—24no—
969C2×C11—42no—
970C2×C11—42no—
971C2×C11—44no—
972C2×C11—42no—
973C2×C11—42no—
974C2×C11#353214yescomplemented
975C2×C11C22×H(5,𝔽2)11yescharacteristic
976C2×C11C22×H(5,𝔽2)12yes—
977D11—44no—
978D11—44no—
979C24—28no—
980C24—24no—
981C24—28no—
982C24—28no—
983C24—28no—
984C24—24no—
985C24—44no—
986C24—44no—
987C24—42no—
988C24—44no—
989C24—44no—
990C24—42no—
991C24—44no—
992C24—432no—
993C24—416no—
994C24—44no—
995C24—464no—
996C24—112no—
997C24—112no—
998C24—118no—
999C24—114no—
1000C24—228no—
1001C24—444no—
1002C24—444no—
1003C24—442no—
1004C24—444no—
1005C24C23×D1112yes—
1006C24C23×D1111yescharacteristic
1007C24C23×D1111yescharacteristic
1008C24C23×D1111yescharacteristic
1009C24C23×D1111yescharacteristic
1010C24C23×D1114yes—
1011C24C23×D1118yes—
1012C24C23×D1111yescharacteristic
1013C24C23×D1112yes—
1014C24C23×D1118yes—
1015C24C23×D1114yes—
1016C24C23×D1114yes—
1017C24C23×D1114yes—
1018#41—4416no—
1019#41—4432no—
1020C2×Q8—118no—
1021C2×Q8—114no—
1022C2×Q8—442no—
1023C2×Q8—444no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—416no—
1033C2×D4—432no—
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—114no—
1050C2×D4—118no—
1051C2×D4—228no—
1052C2×D4—228no—
1053C2×D4—228no—
1054C2×D4—228no—
1055C2×D4—444no—
1056C2×D4—442no—
1057C2×D4—444no—
1058C2×D4—444no—
1059C2×D4—444no—
1060C2×D4—444no—
1061C2×D4—4432no—
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—4416no—
1071C2×D4—4432no—
1072C2×D4—4432no—
1073C2×D4C23×D1118yes—
1074C2×D4C23×D1118yes—
1075C2×D4C23×D1114yes—
1076C2×D4C23×D1114yes—
1077C2×D4C23×D1118yes—
1078C2×D4C23×D1114yes—
1079C2×D4C23×D1118yes—
1080C2×D4C23×D1114yes—
1081C22×C4—24no—
1082C22×C4—44no—
1083C22×C4—118no—
1084C22×C4—112no—
1085C22×C4—112no—
1086C22×C4—112no—
1087C22×C4—112no—
1088C22×C4—112no—
1089C22×C4—112no—
1090C22×C4—118no—
1091C22×C4—118no—
1092C22×C4—118no—
1093C22×C4—114no—
1094C22×C4—118no—
1095C22×C4—118no—
1096C22×C4—118no—
1097C22×C4—228no—
1098C22×C4—444no—
1099C22×C4—444no—
1100C22×C4—444no—
1101C22×C4—442no—
1102C22×C4—444no—
1103C22×C4—444no—
1104C22×C4—444no—
1105C22×C4C23×D1114yes—
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1112yes—
1108C22×C4C23×D1112yes—
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1118yes—
1111C4⋊C4—118no—
1112C4⋊C4—118no—
1113C4⋊C4—118no—
1114C4⋊C4—118no—
1115C4⋊C4—118no—
1116C4⋊C4—118no—
1117C4⋊C4—118no—
1118C4⋊C4—118no—
1119C4⋊C4—118no—
1120C22⋊C4—118no—
1121C22⋊C4—118no—
1122C22⋊C4—118no—
1123C22⋊C4—118no—
1124C22⋊C4—118no—
1125C22⋊C4—118no—
1126C22⋊C4—118no—
1127C22⋊C4—118no—
1128C22⋊C4—118no—
1129C22⋊C4—118no—
1130C22⋊C4—118no—
1131C22⋊C4—118no—
1132C22⋊C4—114no—
1133C22⋊C4—114no—
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×D1114yes—
1145C22⋊C4C23×D1118yes—
1146C22⋊C4C23×D1118yes—
1147C22⋊C4C23×D1118yes—
1148C22⋊C4C23×D1114yes—
1149C42—114no—
1150C42—118no—
1151C42—114no—
1152C42—118no—
1153C11C2×#353211yescharacteristic, complemented, Sylow
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—22no—
1159C23—24no—
1160C23—22no—
1161C23—216no—
1162C23—28no—
1163C23—22no—
1164C23—24no—
1165C23—22no—
1166C23—216no—
1167C23—216no—
1168C23—216no—
1169C23—24no—
1170C23—24no—
1171C23—24no—
1172C23—24no—
1173C23—28no—
1174C23—48no—
1175C23—48no—
1176C23—44no—
1177C23—48no—
1178C23—48no—
1179C23—44no—
1180C23—48no—
1181C23—48no—
1182C23—432no—
1183C23—416no—
1184C23—416no—
1185C23—432no—
1186C23—4128no—
1187C23—416no—
1188C23—88no—
1189C23—114no—
1190C23—114no—
1191C23—224no—
1192C23—224no—
1193C23—224no—
1194C23—224no—
1195C23—224no—
1196C23—224no—
1197C23—2216no—
1198C23—448no—
1199C23—448no—
1200C23—444no—
1201C23—448no—
1202C23—8816no—
1203C23—888no—
1204C23#6703714yes—
1205C23#6703718yes—
1206C23C24×D1114yes—
1207C23C24×D1112yes—
1208C23C24×D1112yes—
1209C23C24×D1112yes—
1210C23C24×D1112yes—
1211C23C24×D1112yes—
1212C23C24×D1114yes—
1213C23C24×D1111yescharacteristic
1214Q8—444no—
1215Q8—448no—
1216D4—216no—
1217D4—216no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—44no—
1222D4—48no—
1223D4—48no—
1224D4—2216no—
1225D4—2216no—
1226D4—2216no—
1227D4—2216no—
1228D4—448no—
1229D4—444no—
1230D4—448no—
1231D4—448no—
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—48no—
1247C2×C4—114no—
1248C2×C4—114no—
1249C2×C4—114no—
1250C2×C4—114no—
1251C2×C4—114no—
1252C2×C4—114no—
1253C2×C4—224no—
1254C2×C4—224no—
1255C2×C4—2216no—
1256C2×C4—224no—
1257C2×C4—224no—
1258C2×C4—224no—
1259C2×C4—224no—
1260C2×C4—448no—
1261C2×C4—448no—
1262C2×C4—448no—
1263C2×C4—444no—
1264C2×C4—448no—
1265C2×C4—448no—
1266C2×C4—448no—
1267C2×C4C24×D1112yes—
1268C2×C4C24×D1114yes—
1269C2×C4C24×D1114yes—
1270C2×C4C24×D1112yes—
1271C22—24no—
1272C22—24no—
1273C22—24no—
1274C22—28no—
1275C22—216no—
1276C22—24no—
1277C22—22no—
1278C22—24no—
1279C22—22no—
1280C22—22no—
1281C22—24no—
1282C22—22no—
1283C22—24no—
1284C22—24no—
1285C22—24no—
1286C22—24no—
1287C22—432no—
1288C22—416no—
1289C22—416no—
1290C22—432no—
1291C22—416no—
1292C22—48no—
1293C22—44no—
1294C22—44no—
1295C22—44no—
1296C22—44no—
1297C22—88no—
1298C22—224no—
1299C22—224no—
1300C22—224no—
1301C22—224no—
1302C22—224no—
1303C22—224no—
1304C22—448no—
1305C22—448no—
1306C22—8816no—
1307C22—888no—
1308C22C2×#6703714yes—
1309C22C2×#6703718yes—
1310C22C2×#6703712yes—
1311C22C2×#6703714yes—
1312C22C25×D1111yescharacteristic
1313C4—22no—
1314C4—22no—
1315C4—24no—
1316C4—24no—
1317C4—224no—
1318C4—224no—
1319C4—224no—
1320C4—224no—
1321C4—224no—
1322C4—224no—
1323C2—24no—
1324C2—28no—
1325C2—44no—
1326C2—42no—
1327C2—42no—
1328C2—42no—
1329C2—42no—
1330C2—444no—
1331C2—444no—
1332C2#1308277114yesdirect product factor
1333C2C22×#6703711yescharacteristic
1334C2C22×#6703712yes—
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC22×C11×#120C2
socleC23×C11C25
hypercenterC22×#120D11
hypocenterC11C2×#3532
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
1. #13082771C2direct (N × H)
2. C2×#10623125C2semidirect
3. C2×#10623126C2semidirect
4. C2×#10623126C2semidirect
5. C2×#10623118C2semidirect
6. C2×#10623026C2semidirect
7. C2×#10623337C2semidirect
8. C2×#10623021C2semidirect
9. C2×#10623122C2semidirect
10. C2×D4×C22⋊D11C2semidirect
11. C2×#10623121C2semidirect
12. C2×#10623025C2semidirect
13. C2×#10623124C2semidirect
14. C2×#10623124C2semidirect
15. C2×#10623336C2semidirect
16. C2×#10623123C2semidirect
17. C2×#10623120C2semidirect
18. C2×#10623335C2semidirect
19. C22×#67006C2semidirect
20. C22×C11×#120C2semidirect
21. C26×C11C22semidirect
22. C23×D4×C11C22semidirect
23. C23×D4×C11C22semidirect
24. C23×C22⋊D11C22semidirect
25. C23×C22⋊D11C22semidirect
26. C23×C22⋊D11C22semidirect
27. C23×C22⋊D11C22semidirect
28. C22×#4341C22semidirect
29. C22×D4×D11C22semidirect
30. C22×#4339C22semidirect
32. C2×C11×#120C22semidirect
33. C2×C11×#120C22semidirect
34. C2×C11×#120C22semidirect
35. C2×C11×#120C22semidirect
36. C2×C11×#120C22semidirect
37. C2×C11×#120C22semidirect
38. C22×C11×C22⋊C4C22semidirect
39. C22×C11×C22⋊C4C22semidirect
41. C2×#67006C22semidirect
42. C2×#67006C22semidirect
43. C2×#67006C22semidirect
44. C2×#67006C22semidirect
45. C2×#67006C22semidirect
46. C2×#67006C22semidirect
47. C2×#67006C22semidirect
48. C2×#67006C22semidirect
49. C2×#67006C22semidirect
50. C22×C22⋊Dic11C22semidirect
51. C22×C22⋊Dic11C22semidirect
52. C22×C22⋊Dic11C22semidirect
53. C22×C22⋊Dic11C22semidirect
54. #10623337C22semidirect
55. #10623336C22semidirect
56. #10623335C22semidirect
57. C2×#66993C22semidirect
58. C2×#66993C22semidirect
59. C2×#66993C22semidirect
60. C2×#66992C22semidirect
61. C2×#66992C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
64. C2×#66992C22semidirect
65. C2×#66992C22semidirect
66. D4×C22⋊D11C22semidirect
67. C2×#66991C22semidirect
68. C2×#66991C22semidirect
69. C2×#66991C22semidirect
70. C2×#66991C22semidirect
71. C2×#66990C22semidirect
72. C2×#66990C22semidirect
73. C2×#66990C22semidirect
74. C2×#66990C22semidirect
75. C2×#66989C22semidirect
76. C2×#66989C22semidirect
77. C2×#66989C22semidirect
78. C2×#66988C22semidirect
79. C2×#66988C22semidirect
80. C2×#66988C22semidirect
81. C2×#66988C22semidirect
82. C2×D4×Dic11C22semidirect
83. C2×D4×Dic11C22semidirect
84. C2×#66983C22semidirect
85. C2×#66982C22semidirect
86. C2×C4×C22⋊D11C22semidirect
87. C2×C4×C22⋊D11C22semidirect
88. C2×#66979C22semidirect
89. C2×#66977C22semidirect
90. #10623126C22semidirect
91. #10623126C22semidirect
92. #10623125C22semidirect
93. #10623124C22semidirect
94. #10623124C22semidirect
95. #10623123C22semidirect
96. #10623122C22semidirect
97. #10623121C22semidirect
98. #10623120C22semidirect
99. #10623118C22semidirect
100. #10623026C22semidirect
101. #10623025C22semidirect
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×#66937C22semidirect
112. C2×#66936C22semidirect
113. C2×#66936C22semidirect
114. C2×#66936C22semidirect
115. C2×#66936C22semidirect
116. C2×#66935C22semidirect
117. C2×(C22⋊D11)⋊C4C22semidirect
118. C2×(C22⋊D11)⋊C4C22semidirect
119. C2×C22⋊C4×D11C22semidirect
120. C2×#66932C22semidirect
121. C2×#66932C22semidirect
122. C2×#66932C22semidirect
123. C2×#66932C22semidirect
124. C2×#66931C22semidirect
125. C2×#66931C22semidirect
126. C2×#66930C22semidirect
135. C25×C11C23semidirect
137. C24×D11C23semidirect
148. C22×D4×C11C23semidirect
149. C22×D4×C11C23semidirect
168. C22×C22⋊D11C23semidirect
169. C22×C22⋊D11C23semidirect
170. C22×C22⋊D11C23semidirect
171. C22×C22⋊D11C23semidirect
172. C22×C22⋊D11C23semidirect
173. C22×C22⋊D11C23semidirect
174. C22×C22⋊D11C23semidirect
178. C23×Dic11C23semidirect
179. C23×Dic11C23semidirect
181. C2×#4341C23semidirect
183. C2×D4×D11C23semidirect
185. C2×#4339C23semidirect
186. C22×D44C23semidirect
187. C22×D44C23semidirect
188. C22×C4×D11C23semidirect
189. C22×C4×D11C23semidirect
190. C22×C4×D11C23semidirect
191. C22×Dic22C23semidirect
192. C22×Dic22C23semidirect
194. C11×#120C23semidirect
195. C11×#120C23semidirect
196. C11×#120C23semidirect
197. C11×#120C23semidirect
198. C11×#120C23semidirect
206. C2×C11×C22⋊C4C23semidirect
207. C2×C11×C22⋊C4C23semidirect
209. #67006C23semidirect
210. #67006C23semidirect
211. #67006C23semidirect
212. #67006C23semidirect
213. #67006C23semidirect
214. #67006C23semidirect
215. #67006C23semidirect
216. #67006C23semidirect
229. C2×C22⋊Dic11C23semidirect
230. C2×C22⋊Dic11C23semidirect
231. C2×C22⋊Dic11C23semidirect
232. C2×C22⋊Dic11C23semidirect
233. C2×C22⋊Dic11C23semidirect
234. C2×C22⋊Dic11C23semidirect
235. C2×C22⋊Dic11C23semidirect
236. C2×C22⋊Dic11C23semidirect
237. #66993C23semidirect
238. #66993C23semidirect
239. #66993C23semidirect
240. #66992C23semidirect
241. #66992C23semidirect
242. #66992C23semidirect
243. #66992C23semidirect
244. #66992C23semidirect
245. #66992C23semidirect
246. #66991C23semidirect
247. #66991C23semidirect
248. #66991C23semidirect
249. #66991C23semidirect
250. #66990C23semidirect
251. #66990C23semidirect
252. #66990C23semidirect
253. #66990C23semidirect
254. #66989C23semidirect
255. #66989C23semidirect
256. #66989C23semidirect
257. #66988C23semidirect
258. #66988C23semidirect
259. #66988C23semidirect
260. #66988C23semidirect
261. D4×Dic11C23semidirect
262. D4×Dic11C23semidirect
263. #66983C23semidirect
264. #66982C23semidirect
265. C4×C22⋊D11C23semidirect
266. C4×C22⋊D11C23semidirect
267. C2×(C2×D11)⋊C4C23semidirect
268. C2×(C2×D11)⋊C4C23semidirect
269. C2×(C2×D11)⋊C4C23semidirect
270. C2×(C2×D11)⋊C4C23semidirect
271. C2×(C2×D11)⋊C4C23semidirect
272. C2×(C2×D11)⋊C4C23semidirect
273. #66979C23semidirect
274. C2×C4⋊Dic11C23semidirect
275. C2×C4⋊Dic11C23semidirect
276. C2×C4⋊Dic11C23semidirect
277. #66977C23semidirect
278. C2×Dic11⋊C4C23semidirect
279. C2×Dic11⋊C4C23semidirect
280. C2×Dic11⋊C4C23semidirect
281. C2×Dic11⋊C4C23semidirect
282. C2×Dic11⋊C4C23semidirect
283. C2×Dic11⋊C4C23semidirect
284. C2×C4×Dic11C23semidirect
285. C2×C4×Dic11C23semidirect
286. C2×C4×Dic11C23semidirect
287. C2×C4×Dic11C23semidirect
288. #66939C23semidirect
289. #66938C23semidirect
290. #66938C23semidirect
291. #66938C23semidirect
292. #66938C23semidirect
293. #66937C23semidirect
294. #66937C23semidirect
295. #66937C23semidirect
296. #66937C23semidirect
297. #66936C23semidirect
298. #66936C23semidirect
299. #66936C23semidirect
300. #66936C23semidirect
301. #66935C23semidirect
302. (C22⋊D11)⋊C4C23semidirect
303. (C22⋊D11)⋊C4C23semidirect
304. C22⋊C4×D11C23semidirect
305. #66932C23semidirect
306. #66932C23semidirect
307. #66932C23semidirect
308. #66932C23semidirect
309. #66931C23semidirect
310. #66931C23semidirect
311. #66930C23semidirect
351. C23×D11C24semidirect
409. C2×C22⋊D11C24semidirect
410. C2×C22⋊D11C24semidirect
411. C2×C22⋊D11C24semidirect
426. C22×Dic11C24semidirect
427. C22×Dic11C24semidirect
433. C2×D44C24semidirect
434. C2×D44C24semidirect
438. C2×C4×D11C24semidirect
439. C2×C4×D11C24semidirect
440. C2×C4×D11C24semidirect
443. C2×Dic22C24semidirect
444. C2×Dic22C24semidirect
464. C22⋊Dic11C24semidirect
465. C22⋊Dic11C24semidirect
466. C22⋊Dic11C24semidirect
467. C22⋊Dic11C24semidirect
468. (C2×D11)⋊C4C24semidirect
469. (C2×D11)⋊C4C24semidirect
470. (C2×D11)⋊C4C24semidirect
471. (C2×D11)⋊C4C24semidirect
472. (C2×D11)⋊C4C24semidirect
473. (C2×D11)⋊C4C24semidirect
474. C4⋊Dic11C24semidirect
475. C4⋊Dic11C24semidirect
476. C4⋊Dic11C24semidirect
477. Dic11⋊C4C24semidirect
478. Dic11⋊C4C24semidirect
479. Dic11⋊C4C24semidirect
480. Dic11⋊C4C24semidirect
481. Dic11⋊C4C24semidirect
482. Dic11⋊C4C24semidirect
483. C4×Dic11C24semidirect
484. C4×Dic11C24semidirect
485. C4×Dic11C24semidirect
486. C4×Dic11C24semidirect
506. C22×#120D11semidirect
624. C26C2×D11semidirect
632. C23×D4C2×D11semidirect
633. C23×D4C2×D11semidirect
709. C2×#120C2×D11semidirect
710. C2×#120C2×D11semidirect
711. C2×#120C2×D11semidirect
712. C2×#120C2×D11semidirect
713. C2×#120C2×D11semidirect
714. C2×#120C2×D11semidirect
728. C22×C22⋊C4C2×D11semidirect
729. C22×C22⋊C4C2×D11semidirect
792. C25C22×D11semidirect
836. C22×D4C22×D11semidirect
837. C22×D4C22×D11semidirect
905. #120C22×D11semidirect
906. #120C22×D11semidirect
907. #120C22×D11semidirect
908. #120C22×D11semidirect
909. #120C22×D11semidirect
961. C2×C22⋊C4C22×D11semidirect
962. C2×C22⋊C4C22×D11semidirect
974. C2×C11#3532semidirect
1153. C11C2×#3532semidirect
1332. C2#13082771direct (N × H)

Maximal subgroups

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

subgroupindex
#130827712
C2×#106231252
C2×#106231262
C2×#106231182
C2×#106230262
C2×#106233372
C2×#106230212
C2×#106231222
C2×D4×C22⋊D112
C2×#106231212
C2×#106230252
C2×#106231242
C2×#106233362
C2×#106231232
C2×#106231202
C2×#106233352
C22×#670062
C22×C11×#1202
C2×#353211