Finite Group Databasebeta

← C2×D11×#538 #15660496

Subgroups — C2×D11×#538 #15660496

Order 2816.

9566 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623175C211yesmaximal, characteristic, complemented
2C2×#10623235C212yesmaximal, complemented
3C2×#10623025C211yesmaximal, characteristic, complemented
4C2×#10623148C211yesmaximal, characteristic, complemented
5C2×#10623188C212yesmaximal, complemented
6C2×#10623124C212yesmaximal, complemented
7C2×#10623209C212yesmaximal, complemented
8C2×#10623091C212yesmaximal, complemented
9C2×#10623144C212yesmaximal, complemented
10D11×#538C2132yesmaximal, direct product factor
11C2×D11×#126C212yesmaximal, complemented
12C2×D11×#124C212yesmaximal, complemented
13C2×D11×#123C212yesmaximal, complemented
14C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
15C2×D11×#121C212yesmaximal, complemented
16C2×D11×#121C211yesmaximal, characteristic, complemented
17C2×D11×#120C212yesmaximal, complemented
18C2×C4×D4×D11C212yesmaximal, complemented
19C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
20C2×C11×#538C211yesmaximal, characteristic, complemented
21C25×D11C2211yescharacteristic
22C22×Q8×D11C2211yescharacteristic, complemented
23C22×D4×D11C2212yes—
24C22×D4×D11C2212yes—
25C22×D4×D11C2212yes—
26C22×D4×D11C2211yescharacteristic, complemented
27C23×C4×D11C2211yescharacteristic
28C23×C4×D11C2211yescharacteristic
29C23×C4×D11C2212yescomplemented
30C11×#538C22116yescomplemented
31C2×C11×#126C2212yescomplemented
32C2×C11×#124C2212yescomplemented
33C2×C11×#123C2212yescomplemented
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×#121C2212yescomplemented
36C2×C11×#121C2211yescharacteristic, complemented
37C2×C11×#120C2212yescomplemented
38C2×C4×D4×C11C2212yescomplemented
39C22×C11×C22⋊C4C2211yescharacteristic, complemented
40C2×#67006C2212yescomplemented
41C22×C22⋊Dic11C2211yescharacteristic, complemented
42C2×#67000C2212yescomplemented
43C2×#66999C2211yescharacteristic, complemented
44C2×#66992C2212yescomplemented
45C2×#66992C2212yescomplemented
46C2×#66992C2212yescomplemented
47C2×#66991C2212yescomplemented
48C2×#66991C2211yescharacteristic, complemented
49C2×#66990C2212yescomplemented
50C2×#66990C2212yescomplemented
51C2×#66990C2212yescomplemented
52C2×#66989C2212yescomplemented
53C2×#66988C2212yescomplemented
54C2×D4×Dic11C2212yescomplemented
55C2×#66983C2212yescomplemented
56C2×#66983C2211yescharacteristic, complemented
57C2×#66982C2212yescomplemented
58C2×C4×C22⋊D11C2212yescomplemented
59C2×C4×C22⋊D11C2212yescomplemented
60C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
61C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
62C2×#66977C2211yescharacteristic, complemented
63#10623235C22132yescomplemented
64D11×#126C22132yescomplemented
65#10623209C22132yescomplemented
66D11×#124C22132yescomplemented
67#10623188C22132yescomplemented
68D11×#123C22132yescomplemented
69#10623175C22116yescomplemented
70D11×C22⋊Q8C22116yescomplemented
71#10623148C22116yescomplemented
72#10623144C22132yescomplemented
73D11×#121C22132yescomplemented
74D11×#121C22116yescomplemented
75#10623124C22132yescomplemented
76D11×#120C22132yescomplemented
77#10623091C22132yescomplemented
78C4×D4×D11C22132yescomplemented
79C2×#66951C2212yescomplemented
80C2×#66951C2212yescomplemented
81C2×#66951C2212yescomplemented
82C2×#66950C2211yescharacteristic, complemented
83C2×#66949C2212yescomplemented
84C2×#66948C2212yescomplemented
85C2×#66948C2211yescharacteristic, complemented
86C2×#66947C2212yescomplemented
87C2×#66947C2212yescomplemented
88C2×#66946C2212yescomplemented
89C2×C4⋊C4×D11C2211yescharacteristic, complemented
90C2×C4⋊C4×D11C2212yescomplemented
91C2×C4⋊C4×D11C2212yescomplemented
92C2×C4⋊C4×D11C2211yescharacteristic, complemented
93#10623025C22116yescomplemented
94C2×#66939C2212yescomplemented
95C2×#66938C2212yescomplemented
96C2×#66938C2212yescomplemented
97C2×#66938C2212yescomplemented
98C2×#66938C2212yescomplemented
99C2×#66937C2212yescomplemented
100C2×#66937C2212yescomplemented
101C2×#66937C2212yescomplemented
102C2×#66936C2212yescomplemented
103C2×#66936C2212yescomplemented
104C2×#66935C2212yescomplemented
105C2×#66935C2212yescomplemented
106C2×#66935C2212yescomplemented
107C2×(C22⋊D11)⋊C4C2212yescomplemented
108C2×(C22⋊D11)⋊C4C2212yescomplemented
109C2×C22⋊C4×D11C2212yes—
110C2×C22⋊C4×D11C2212yes—
111C2×C22⋊C4×D11C2212yes—
112C2×C22⋊C4×D11C2212yes—
113C2×C22⋊C4×D11C2212yes—
114C2×C22⋊C4×D11C22116yescomplemented
115C2×C22⋊C4×D11C2212yescomplemented
116C2×C22⋊C4×D11C2212yescomplemented
117C2×C22⋊C4×D11C2212yescomplemented
118C2×C22⋊C4×D11C2212yescomplemented
119C2×#66932C2212yescomplemented
120C2×#66932C2212yescomplemented
121C2×#66932C2212yescomplemented
122C2×#66931C2212yescomplemented
123C2×#66929C2212yescomplemented
124C2×#66928C2212yescomplemented
125C2×C4×D44C2212yescomplemented
126C2×C42×D11C2212yescomplemented
127C25×C11C2311yescharacteristic
128C24×D11—28no—
129C24×D11—44no—
130C24×D11—44no—
131C24×D11C2312yes—
132C24×D11C2312yes—
133C24×D11C2311yescharacteristic
134C24×D11C2312yes—
135C24×D11C2318yes—
136C24×D11C2311yescharacteristic
137C22×Q8×C11C2311yescharacteristic, complemented
138C22×D4×C11C2312yes—
139C22×D4×C11C2312yes—
140C22×D4×C11C2312yes—
141C22×D4×C11C2311yescharacteristic, complemented
142C23×C4×C11C2311yescharacteristic
143C23×C4×C11C2311yescharacteristic
144C23×C4×C11C2312yescomplemented
145C22×C22⋊D11C2312yes—
146C22×C22⋊D11C2312yes—
147C22×C22⋊D11C2312yes—
148C22×C22⋊D11C2312yes—
149C22×C22⋊D11C2312yes—
150C22×C22⋊D11C2312yes—
151C22×C22⋊D11C2312yescomplemented
152C23×Dic11C2311yescharacteristic
153C23×Dic11C2311yescharacteristic
154C23×Dic11C2312yescomplemented
155C2×Q8×D11—44no—
156C2×Q8×D11C2318yescomplemented
157C2×D4×D11—216no—
158C2×D4×D11—48no—
159C2×D4×D11—48no—
160C2×D4×D11—44no—
161C2×D4×D11C23116yes—
162C2×D4×D11C23116yes—
163C2×D4×D11C23116yes—
164C2×D4×D11C2318yescomplemented
165C22×D44C2312yes—
166C22×D44C2312yes—
167C22×D44C2312yes—
168C22×D44C2311yescharacteristic, complemented
169C22×C4×D11—44no—
170C22×C4×D11—44no—
171C22×C4×D11—48no—
172C22×C4×D11C2312yes—
173C22×C4×D11C2312yes—
174C22×C4×D11C2312yes—
175C22×C4×D11C2311yescharacteristic
176C22×C4×D11C2311yescharacteristic
177C22×C4×D11C2312yes—
178C22×C4×D11C2312yes—
179C22×C4×D11C2311yescharacteristic
180C22×C4×D11C2311yescharacteristic
181C22×C4×D11C2318yes—
182C22×C4×D11C2318yes—
183C22×C4×D11C23116yescomplemented
184C22×C4×D11C2312yescomplemented
185C22×C4×D11C2312yescomplemented
186C22×Dic22C2312yescomplemented
187C22×Dic22C2311yescharacteristic, complemented
188C11×#126C23116yescomplemented
189C11×#124C23116yescomplemented
190C11×#123C23116yescomplemented
191C11×C22⋊Q8C2318yescomplemented
192C11×#121C23116yescomplemented
193C11×#121C2318yescomplemented
194C11×#120C23116yescomplemented
195C4×D4×C11C23116yescomplemented
196C2×C11×C4⋊C4C2312yescomplemented
197C2×C11×C4⋊C4C2311yescharacteristic, complemented
198C2×C11×C4⋊C4C2312yescomplemented
199C2×C11×C4⋊C4C2311yescharacteristic, complemented
200C2×C11×C22⋊C4C2312yes—
201C2×C11×C22⋊C4C2312yes—
202C2×C11×C22⋊C4C2312yes—
203C2×C11×C22⋊C4C2312yes—
204C2×C11×C22⋊C4C2312yes—
205C2×C11×C22⋊C4C2318yescomplemented
206C2×C11×C22⋊C4C2312yescomplemented
207C2×C11×C22⋊C4C2312yescomplemented
208C2×C42×C11C2312yescomplemented
209#67006C23116yescomplemented
210C2×C22⋊Dic11C2312yes—
211C2×C22⋊Dic11C2312yes—
212C2×C22⋊Dic11C2312yes—
213C2×C22⋊Dic11C2312yes—
214C2×C22⋊Dic11C2312yes—
215C2×C22⋊Dic11C2318yescomplemented
216C2×C22⋊Dic11C2312yescomplemented
217C2×C22⋊Dic11C2312yescomplemented
218#67000C23116yescomplemented
219#66999C2318yescomplemented
220#66992C23116yescomplemented
221#66992C23116yescomplemented
222#66992C23116yescomplemented
223#66991C23116yescomplemented
224#66991C2318yescomplemented
225#66990C23116yescomplemented
226#66990C23116yescomplemented
227#66990C23116yescomplemented
228#66989C23116yescomplemented
229#66988C23116yescomplemented
230D4×Dic11C23116yescomplemented
231#66983C23116yescomplemented
232#66983C2318yescomplemented
233#66982C23116yescomplemented
234C4×C22⋊D11C23116yescomplemented
235C4×C22⋊D11C23116yescomplemented
236C2×(C2×D11)⋊C4C2312yes—
237C2×(C2×D11)⋊C4C2312yes—
238C2×(C2×D11)⋊C4C2312yes—
239C2×(C2×D11)⋊C4C2312yes—
240C2×(C2×D11)⋊C4C2312yes—
241C2×(C2×D11)⋊C4C2312yes—
242C2×(C2×D11)⋊C4C2312yes—
243C2×(C2×D11)⋊C4C2312yes—
244C2×(C2×D11)⋊C4C2312yes—
245C2×(C2×D11)⋊C4C2312yes—
246C2×(C2×D11)⋊C4C2318yescomplemented
247C2×(C2×D11)⋊C4C2318yescomplemented
248C2×(C2×D11)⋊C4C2312yescomplemented
249C2×(C2×D11)⋊C4C2312yescomplemented
250C2×(C2×D11)⋊C4C2312yescomplemented
251C2×(C2×D11)⋊C4C2312yescomplemented
252C2×C4⋊Dic11C2312yescomplemented
253C2×C4⋊Dic11C2312yescomplemented
254C2×C4⋊Dic11C2311yescharacteristic, complemented
255C2×C4⋊Dic11C2311yescharacteristic, complemented
256#66977C2318yescomplemented
257C2×Dic11⋊C4C2312yescomplemented
258C2×Dic11⋊C4C2312yescomplemented
259C2×Dic11⋊C4C2312yescomplemented
260C2×Dic11⋊C4C2312yescomplemented
261C2×Dic11⋊C4C2312yescomplemented
262C2×Dic11⋊C4C2312yescomplemented
263C2×C4×Dic11C2312yescomplemented
264C2×C4×Dic11C2312yescomplemented
265C2×C4×Dic11C2312yescomplemented
266#66951C23116yescomplemented
267#66951C23116yescomplemented
268#66951C23116yescomplemented
269#66950C2318yescomplemented
270#66949C23116yescomplemented
271#66948C23116yescomplemented
272#66948C2318yescomplemented
273#66947C23116yescomplemented
274#66947C23116yescomplemented
275#66946C23116yescomplemented
276C4⋊C4×D11C2318yescomplemented
277C4⋊C4×D11C23116yescomplemented
278C4⋊C4×D11C23116yescomplemented
279C4⋊C4×D11C2318yescomplemented
280#66939C23116yescomplemented
281#66938C23116yescomplemented
282#66938C23116yescomplemented
283#66938C23116yescomplemented
284#66938C23116yescomplemented
285#66937C23116yescomplemented
286#66937C23116yescomplemented
287#66937C23116yescomplemented
288#66936C23116yescomplemented
289#66936C23116yescomplemented
290#66935C23116yescomplemented
291#66935C23116yescomplemented
292#66935C23116yescomplemented
293(C22⋊D11)⋊C4C23116yescomplemented
294(C22⋊D11)⋊C4C23116yescomplemented
295C22⋊C4×D11C23116yes—
296C22⋊C4×D11C23116yes—
297C22⋊C4×D11C23116yes—
298C22⋊C4×D11C23116yes—
299C22⋊C4×D11C23116yes—
300C22⋊C4×D11C23116yescomplemented
301C22⋊C4×D11C23116yescomplemented
302C22⋊C4×D11C23116yescomplemented
303C22⋊C4×D11C23116yescomplemented
304#66932C23116yescomplemented
305#66932C23116yescomplemented
306#66932C23116yescomplemented
307#66931C23116yescomplemented
308#66929C23116yescomplemented
309#66928C23116yescomplemented
310C4×D44C23116yescomplemented
311C42×D11C23116yescomplemented
312C22×#538—111nomaximal, Sylow
313C24×C11—24no—
314C24×C11—42no—
315C24×C11—42no—
316C24×C11C2412yes—
317C24×C11C2412yes—
318C24×C11C2411yescharacteristic
319C24×C11C2414yes—
320C23×D11—24no—
321C23×D11—24no—
322C23×D11—24no—
323C23×D11—28no—
324C23×D11—28no—
325C23×D11—232no—
326C23×D11—28no—
327C23×D11—28no—
328C23×D11—28no—
329C23×D11—28no—
330C23×D11—28no—
331C23×D11—416no—
332C23×D11—416no—
333C23×D11—44no—
334C23×D11—44no—
335C23×D11—42no—
336C23×D11—42no—
337C23×D11—464no—
338C23×D11#4118yes—
339C23×D11C2418yes—
340C23×D11C2418yes—
341C23×D11C2412yes—
342C23×D11C2412yes—
343C23×D11C2414yes—
344C23×D11C2411yescharacteristic
345C23×D11C2418yes—
346C23×D11C2414yes—
347C23×D11C2411yescharacteristic
348C2×Q8×C11—42no—
349C2×Q8×C11C2414yescomplemented
350C2×D4×C11—28no—
351C2×D4×C11—44no—
352C2×D4×C11—44no—
353C2×D4×C11—42no—
354C2×D4×C11C2418yes—
355C2×D4×C11C2418yes—
356C2×D4×C11C2418yes—
357C2×D4×C11C2414yescomplemented
358C22×C4×C11—42no—
359C22×C4×C11—42no—
360C22×C4×C11—44no—
361C22×C4×C11C2412yes—
362C22×C4×C11C2412yes—
363C22×C4×C11C2412yes—
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2412yes—
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2414yes—
368C22×C4×C11C2414yes—
369C22×C4×C11C2418yescomplemented
370C2×C22⋊D11—28no—
371C2×C22⋊D11—28no—
372C2×C22⋊D11—44no—
373C2×C22⋊D11—44no—
374C2×C22⋊D11—44no—
375C2×C22⋊D11—44no—
376C2×C22⋊D11—44no—
377C2×C22⋊D11C2418yes—
378C2×C22⋊D11C2418yes—
379C2×C22⋊D11C2418yes—
380C2×C22⋊D11C2418yes—
381C2×C22⋊D11C2418yes—
382C2×C22⋊D11C2418yes—
383C2×C22⋊D11C2418yescomplemented
384C22×Dic11—42no—
385C22×Dic11—42no—
386C22×Dic11—44no—
387C22×Dic11C2412yes—
388C22×Dic11C2412yes—
389C22×Dic11C2412yes—
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2412yes—
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2414yes—
394C22×Dic11C2414yes—
395C22×Dic11C2418yescomplemented
396Q8×D11—416no—
397D4×D11—264no—
398D4×D11—432no—
399D4×D11—432no—
400D4×D11—416no—
401C2×D44—28no—
402C2×D44—44no—
403C2×D44—44no—
404C2×D44—42no—
405C2×D44C2418yes—
406C2×D44C2418yes—
407C2×D44C2418yes—
408C2×D44C2414yescomplemented
409C2×C4×D11—28no—
410C2×C4×D11—28no—
411C2×C4×D11—24no—
412C2×C4×D11—28no—
413C2×C4×D11—24no—
414C2×C4×D11—28no—
415C2×C4×D11—42no—
416C2×C4×D11—44no—
417C2×C4×D11—42no—
418C2×C4×D11—44no—
419C2×C4×D11—44no—
420C2×C4×D11—416no—
421C2×C4×D11—416no—
422C2×C4×D11—432no—
423C2×C4×D11C2418yes—
424C2×C4×D11C2418yes—
425C2×C4×D11C2418yes—
426C2×C4×D11C2414yes—
427C2×C4×D11C2414yes—
428C2×C4×D11C2418yes—
429C2×C4×D11C2418yes—
430C2×C4×D11C2414yes—
431C2×C4×D11C2414yes—
432C2×C4×D11C2418yescomplemented
433C2×C4×D11C2418yescomplemented
434C2×Dic22—42no—
435C2×Dic22—44no—
436C2×Dic22C2418yescomplemented
437C2×Dic22C2414yescomplemented
438C11×C4⋊C4C2418yescomplemented
439C11×C4⋊C4C2414yescomplemented
440C11×C4⋊C4C2418yescomplemented
441C11×C4⋊C4C2414yescomplemented
442C11×C22⋊C4C2418yes—
443C11×C22⋊C4C2418yes—
444C11×C22⋊C4C2418yes—
445C11×C22⋊C4C2418yes—
446C11×C22⋊C4C2418yes—
447C11×C22⋊C4C2418yescomplemented
448C11×C22⋊C4C2418yescomplemented
449C42×C11C2418yescomplemented
450C22⋊Dic11C2418yes—
451C22⋊Dic11C2418yes—
452C22⋊Dic11C2418yes—
453C22⋊Dic11C2418yes—
454C22⋊Dic11C2418yes—
455C22⋊Dic11C2418yescomplemented
456C22⋊Dic11C2418yescomplemented
457(C2×D11)⋊C4C2418yes—
458(C2×D11)⋊C4C2418yes—
459(C2×D11)⋊C4C2418yes—
460(C2×D11)⋊C4C2418yes—
461(C2×D11)⋊C4C2418yes—
462(C2×D11)⋊C4C2418yes—
463(C2×D11)⋊C4C2418yes—
464(C2×D11)⋊C4C2418yes—
465(C2×D11)⋊C4C2418yes—
466(C2×D11)⋊C4C2418yes—
467(C2×D11)⋊C4C2418yescomplemented
468(C2×D11)⋊C4C2418yescomplemented
469(C2×D11)⋊C4C2418yescomplemented
470(C2×D11)⋊C4C2418yescomplemented
471C4⋊Dic11C2418yescomplemented
472C4⋊Dic11C2418yescomplemented
473C4⋊Dic11C2414yescomplemented
474C4⋊Dic11C2414yescomplemented
475Dic11⋊C4C2418yescomplemented
476Dic11⋊C4C2418yescomplemented
477Dic11⋊C4C2418yescomplemented
478Dic11⋊C4C2418yescomplemented
479Dic11⋊C4C2418yescomplemented
480Dic11⋊C4C2418yescomplemented
481C4×Dic11C2418yescomplemented
482C4×Dic11C2418yescomplemented
483C4×Dic11C2418yescomplemented
484C2×#538—1132no—
485C2×#538—112no—
486C2×#538—112no—
487C2×#538—112no—
488C2×#538—111no—
489C2×#538—112no—
490C2×#538—111no—
491C2×#538—112no—
492C2×#538—112no—
493C2×#538—111no—
494C2×#538D1111yescharacteristic, direct product factor
495C22×#126—112no—
496C22×#124—112no—
497C22×#123—112no—
498C22×C22⋊Q8—111no—
499C22×#121—112no—
500C22×#121—111no—
501C22×#120—112no—
502C22×C4×D4—112no—
503C23×C22⋊C4—111no—
504C23×C11—22no—
505C23×C11—22no—
506C23×C11—24no—
507C23×C11—28no—
508C23×C11—24no—
509C23×C11—24no—
510C23×C11—24no—
511C23×C11—24no—
512C23×C11—24no—
513C23×C11—44no—
514C23×C11—44no—
515C23×C11—416no—
516C23×C11C2×#4114yes—
517C23×C11C2514yes—
518C23×C11C2514yes—
519C23×C11C2512yes—
520C23×C11C2511yescharacteristic
521C22×D11—22no—
522C22×D11—22no—
523C22×D11—232no—
524C22×D11—28no—
525C22×D11—28no—
526C22×D11—24no—
527C22×D11—28no—
528C22×D11—24no—
529C22×D11—24no—
530C22×D11—24no—
531C22×D11—24no—
532C22×D11—24no—
533C22×D11—216no—
534C22×D11—216no—
535C22×D11—216no—
536C22×D11—216no—
537C22×D11—216no—
538C22×D11—216no—
539C22×D11—216no—
540C22×D11—48no—
541C22×D11—48no—
542C22×D11—44no—
543C22×D11—44no—
544C22×D11—432no—
545C22×D11—4128no—
546C22×D11—416no—
547C22×D11—432no—
548C22×D11—432no—
549C22×D11C2×#4114yes—
550C22×D11C2×#41116yes—
551C22×D11C2×#4114yes—
552C22×D11H(5,𝔽2)14yes—
553C22×D11H(5,𝔽2)14yes—
554C22×D11C2514yes—
555C22×D11C2514yes—
556C22×D11C2512yes—
557C22×D11C2512yes—
558Q8×C11—44no—
559D4×C11—216no—
560D4×C11—48no—
561D4×C11—48no—
562D4×C11—44no—
563C2×C4×C11—24no—
564C2×C4×C11—22no—
565C2×C4×C11—24no—
566C2×C4×C11—24no—
567C2×C4×C11—22no—
568C2×C4×C11—24no—
569C2×C4×C11—44no—
570C2×C4×C11—44no—
571C2×C4×C11—48no—
572C2×C4×C11C2514yes—
573C2×C4×C11C2514yes—
574C2×C4×C11C2514yes—
575C2×C4×C11C2512yes—
576C2×C4×C11C2514yes—
577C2×C4×C11C2512yes—
578C22⋊D11—216no—
579C22⋊D11—216no—
580C22⋊D11—48no—
581C22⋊D11—48no—
582C22⋊D11—48no—
583C22⋊D11—48no—
584C22⋊D11—48no—
585C2×Dic11—24no—
586C2×Dic11—22no—
587C2×Dic11—24no—
588C2×Dic11—24no—
589C2×Dic11—22no—
590C2×Dic11—24no—
591C2×Dic11—44no—
592C2×Dic11—44no—
593C2×Dic11—48no—
594C2×Dic11C2514yes—
595C2×Dic11C2514yes—
596C2×Dic11C2514yes—
597C2×Dic11C2512yes—
598C2×Dic11C2514yes—
599C2×Dic11C2512yes—
600D44—216no—
601D44—48no—
602D44—48no—
603D44—44no—
604C4×D11—216no—
605C4×D11—216no—
606C4×D11—28no—
607C4×D11—216no—
608C4×D11—28no—
609C4×D11—216no—
610C4×D11—44no—
611C4×D11—48no—
612C4×D11—44no—
613C4×D11—48no—
614C4×D11—48no—
615Dic22—48no—
616Dic22—44no—
617C26—111no—
618C23×Q8—111no—
619C23×D4—112no—
620C23×D4—112no—
621C23×D4—112no—
622C23×D4—111no—
623C24×C4—111no—
624C24×C4—111no—
625C24×C4—112no—
626#538—1132no—
627#538—1132no—
628#538—1132no—
629#538—1116no—
630#538—1132no—
631#538—1116no—
632#538—1132no—
633#538—1132no—
634#538—1116no—
635#538C2×D11116yesdirect product factor
636C2×#126—1132no—
637C2×#126—112no—
638C2×#126—112no—
639C2×#126—112no—
640C2×#126—112no—
641C2×#126—112no—
642C2×#126—112no—
643C2×#126—112no—
644C2×#126C2×D1112yescomplemented
645C2×#124—112no—
646C2×#124—112no—
647C2×#124—1132no—
648C2×#124—112no—
649C2×#124—112no—
650C2×#124—112no—
651C2×#124—112no—
652C2×#124—112no—
653C2×#124C2×D1112yescomplemented
654C2×#123—112no—
655C2×#123—112no—
656C2×#123—1132no—
657C2×#123—112no—
658C2×#123—112no—
659C2×#123—112no—
660C2×#123—112no—
661C2×#123—112no—
662C2×#123C2×D1112yescomplemented
663C2×C22⋊Q8—111no—
664C2×C22⋊Q8—111no—
665C2×C22⋊Q8—1116no—
666C2×C22⋊Q8—112no—
667C2×C22⋊Q8—111no—
668C2×C22⋊Q8—112no—
669C2×C22⋊Q8C2×D1111yescharacteristic, complemented
670C2×#121—112no—
671C2×#121—112no—
672C2×#121—112no—
673C2×#121—111no—
674C2×#121—112no—
675C2×#121—111no—
676C2×#121—112no—
677C2×#121—1132no—
678C2×#121—1116no—
679C2×#121—112no—
680C2×#121—111no—
681C2×#121—112no—
682C2×#121—112no—
683C2×#121—112no—
684C2×#121C2×D1112yescomplemented
685C2×#121C2×D1111yescharacteristic, complemented
686C2×#120—112no—
687C2×#120—112no—
688C2×#120—112no—
689C2×#120—112no—
690C2×#120—1132no—
691C2×#120—112no—
692C2×#120—112no—
693C2×#120—112no—
694C2×#120C2×D1112yescomplemented
695C2×C4×D4—112no—
696C2×C4×D4—112no—
697C2×C4×D4—112no—
698C2×C4×D4—1132no—
699C2×C4×D4—112no—
700C2×C4×D4—112no—
701C2×C4×D4—112no—
702C2×C4×D4—112no—
703C2×C4×D4C2×D1112yescomplemented
704C22×C4⋊C4—112no—
705C22×C4⋊C4—112no—
706C22×C4⋊C4—111no—
707C22×C4⋊C4—111no—
708C22×C22⋊C4—111no—
709C22×C22⋊C4—111no—
710C22×C22⋊C4—111no—
711C22×C22⋊C4—112no—
712C22×C22⋊C4—112no—
713C22×C22⋊C4—112no—
714C22×C22⋊C4—112no—
715C22×C22⋊C4—112no—
716C22×C22⋊C4—112no—
717C22×C22⋊C4—112no—
718C22×C22⋊C4—1116no—
719C22×C22⋊C4—112no—
720C22×C22⋊C4—112no—
721C22×C22⋊C4C2×D1111yescharacteristic, complemented
722C22×C42—112no—
723C22×C11—22no—
724C22×C11—22no—
725C22×C11—28no—
726C22×C11—24no—
727C22×C11—24no—
728C22×C11—24no—
729C22×C11—24no—
730C22×C11—24no—
731C22×C11—24no—
732C22×C11—416no—
733C22×C11—48no—
734C22×C11—48no—
735C22×C11C22×#4114yes—
736C22×C11C22×#4112yes—
737C22×C11C2×H(5,𝔽2)12yes—
738C22×C11C2×H(5,𝔽2)12yes—
739C22×C11C2611yescharacteristic
740C2×D11—22no—
741C2×D11—22no—
742C2×D11—28no—
743C2×D11—232no—
744C2×D11—24no—
745C2×D11—24no—
746C2×D11—24no—
747C2×D11—24no—
748C2×D11—24no—
749C2×D11—24no—
750C2×D11—432no—
751C2×D11—416no—
752C2×D11—48no—
753C2×D11—48no—
754C2×D11—432no—
755C2×D11—432no—
756C2×D11#538116yesdirect product factor
757C2×D11C22×#4114yes—
758C2×D11C22×#4114yes—
759C2×D11C2×H(5,𝔽2)14yes—
760C2×D11C2×H(5,𝔽2)14yes—
761C4×C11—24no—
762C4×C11—24no—
763C4×C11—22no—
764C4×C11—24no—
765C4×C11—22no—
766C4×C11—24no—
767Dic11—24no—
768Dic11—22no—
769Dic11—24no—
770Dic11—24no—
771Dic11—22no—
772Dic11—24no—
773C25—111no—
774C25—112no—
775C25—112no—
776C25—118no—
777C25—112no—
778C25—111no—
779C25—228no—
780C25—444no—
781C25—444no—
782C25C22×D1111yescharacteristic
783C22×Q8—118no—
784C22×Q8—111no—
785C22×Q8—112no—
786C22×Q8—444no—
787C22×Q8C22×D1111yescharacteristic, complemented
788C22×D4—112no—
789C22×D4—112no—
790C22×D4—112no—
791C22×D4—112no—
792C22×D4—112no—
793C22×D4—112no—
794C22×D4—112no—
795C22×D4—1116no—
796C22×D4—1116no—
797C22×D4—1116no—
798C22×D4—118no—
799C22×D4—112no—
800C22×D4—112no—
801C22×D4—112no—
802C22×D4—111no—
803C22×D4—2216no—
804C22×D4—448no—
805C22×D4—444no—
806C22×D4—448no—
807C22×D4C22×D1112yes—
808C22×D4C22×D1112yes—
809C22×D4C22×D1112yes—
810C22×D4C22×D1111yescharacteristic, complemented
811C23×C4—111no—
812C23×C4—111no—
813C23×C4—112no—
814C23×C4—111no—
815C23×C4—112no—
816C23×C4—112no—
817C23×C4—112no—
818C23×C4—111no—
819C23×C4—112no—
820C23×C4—112no—
821C23×C4—118no—
822C23×C4—111no—
823C23×C4—111no—
824C23×C4—118no—
825C23×C4—112no—
826C23×C4—112no—
827C23×C4—1116no—
828C23×C4—444no—
829C23×C4—444no—
830C23×C4—448no—
831C23×C4C22×D1111yescharacteristic
832C23×C4C22×D1111yescharacteristic
833C23×C4C22×D1112yescomplemented
834#126—1116no—
835#126—1116no—
836#126—1116no—
837#126—1116no—
838#126—1116no—
839#126—1116no—
840#126—1116no—
841#126C22×D11116yescomplemented
842#124—1116no—
843#124—1116no—
844#124—1116no—
845#124—1116no—
846#124—1116no—
847#124—1116no—
848#124—1116no—
849#124C22×D11116yescomplemented
850#123—1116no—
851#123—1116no—
852#123—1116no—
853#123—1116no—
854#123—1116no—
855#123—1116no—
856#123—1116no—
857#123C22×D11116yescomplemented
858C22⋊Q8—118no—
859C22⋊Q8—118no—
860C22⋊Q8—1116no—
861C22⋊Q8—118no—
862C22⋊Q8—1116no—
863C22⋊Q8C22×D1118yescomplemented
864#121—1116no—
865#121—1116no—
866#121—1116no—
867#121—118no—
868#121—1116no—
869#121—118no—
870#121—1116no—
871#121—1116no—
872#121—118no—
873#121—1116no—
874#121—1116no—
875#121—1116no—
876#121C22×D11116yescomplemented
877#121C22×D1118yescomplemented
878#120—1116no—
879#120—1116no—
880#120—1116no—
881#120—1116no—
882#120—1116no—
883#120—1116no—
884#120—1116no—
885#120C22×D11116yescomplemented
886C4×D4—1116no—
887C4×D4—1116no—
888C4×D4—1116no—
889C4×D4—1116no—
890C4×D4—1116no—
891C4×D4—1116no—
892C4×D4—1116no—
893C4×D4C22×D11116yescomplemented
894C2×C4⋊C4—112no—
895C2×C4⋊C4—112no—
896C2×C4⋊C4—112no—
897C2×C4⋊C4—112no—
898C2×C4⋊C4—112no—
899C2×C4⋊C4—112no—
900C2×C4⋊C4—112no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—112no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—1116no—
905C2×C4⋊C4—1116no—
906C2×C4⋊C4—118no—
907C2×C4⋊C4—118no—
908C2×C4⋊C4C22×D1112yescomplemented
909C2×C4⋊C4C22×D1112yescomplemented
910C2×C4⋊C4C22×D1111yescharacteristic, complemented
911C2×C4⋊C4C22×D1111yescharacteristic, complemented
912C2×C22⋊C4—112no—
913C2×C22⋊C4—112no—
914C2×C22⋊C4—118no—
915C2×C22⋊C4—112no—
916C2×C22⋊C4—112no—
917C2×C22⋊C4—112no—
918C2×C22⋊C4—112no—
919C2×C22⋊C4—112no—
920C2×C22⋊C4—112no—
921C2×C22⋊C4—112no—
922C2×C22⋊C4—112no—
923C2×C22⋊C4—112no—
924C2×C22⋊C4—118no—
925C2×C22⋊C4—118no—
926C2×C22⋊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—1116no—
937C2×C22⋊C4—1116no—
938C2×C22⋊C4—1116no—
939C2×C22⋊C4—1116no—
940C2×C22⋊C4—1116no—
941C2×C22⋊C4—1116no—
942C2×C22⋊C4—1116no—
943C2×C22⋊C4—1116no—
944C2×C22⋊C4—1116no—
945C2×C22⋊C4C22×D1112yes—
946C2×C22⋊C4C22×D1112yes—
947C2×C22⋊C4C22×D1112yes—
948C2×C22⋊C4C22×D1112yes—
949C2×C22⋊C4C22×D1112yes—
950C2×C22⋊C4C22×D1118yescomplemented
951C2×C22⋊C4C22×D1112yescomplemented
952C2×C22⋊C4C22×D1112yescomplemented
953C2×C42—112no—
954C2×C42—112no—
955C2×C42—112no—
956C2×C42—1116no—
957C2×C42C22×D1112yescomplemented
958C2×C11—24no—
959C2×C11—44no—
960C2×C11—44no—
961C2×C11C2×#53814yescomplemented
962C2×C11C23×#4111yescharacteristic
963C2×C11C22×H(5,𝔽2)11yescharacteristic
964C2×C11C22×H(5,𝔽2)11yescharacteristic
965D11—24no—
966D11—44no—
967D11—44no—
968D11C2×#53818yesdirect product factor
969C24—24no—
970C24—42no—
971C24—42no—
972C24—111no—
973C24—118no—
974C24—114no—
975C24—111no—
976C24—118no—
977C24—118no—
978C24—112no—
979C24—112no—
980C24—118no—
981C24—114no—
982C24—224no—
983C24—224no—
984C24—228no—
985C24—228no—
986C24—228no—
987C24—228no—
988C24—228no—
989C24—228no—
990C24—2232no—
991C24—228no—
992C24—224no—
993C24—442no—
994C24—442no—
995C24—444no—
996C24—444no—
997C24—4416no—
998C24—4416no—
999C24—4464no—
1000C24C23×D1112yes—
1001C24C23×D1112yes—
1002C24C23×D1111yescharacteristic
1003C24C23×D1114yes—
1004C2×Q8—42no—
1005C2×Q8—114no—
1006C2×Q8—118no—
1007C2×Q8—442no—
1008C2×Q8—444no—
1009C2×Q8—4416no—
1010C2×Q8C23×D1114yescomplemented
1011C2×D4—28no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—42no—
1015C2×D4—118no—
1016C2×D4—118no—
1017C2×D4—118no—
1018C2×D4—118no—
1019C2×D4—118no—
1020C2×D4—118no—
1021C2×D4—118no—
1022C2×D4—118no—
1023C2×D4—118no—
1024C2×D4—118no—
1025C2×D4—114no—
1026C2×D4—228no—
1027C2×D4—2264no—
1028C2×D4—228no—
1029C2×D4—228no—
1030C2×D4—444no—
1031C2×D4—442no—
1032C2×D4—444no—
1033C2×D4—4432no—
1034C2×D4—4416no—
1035C2×D4—4432no—
1036C2×D4—444no—
1037C2×D4—444no—
1038C2×D4—444no—
1039C2×D4—444no—
1040C2×D4—444no—
1041C2×D4C23×D1118yes—
1042C2×D4C23×D1118yes—
1043C2×D4C23×D1118yes—
1044C2×D4C23×D1114yescomplemented
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—44no—
1048C22×C4—112no—
1049C22×C4—112no—
1050C22×C4—112no—
1051C22×C4—111no—
1052C22×C4—111no—
1053C22×C4—112no—
1054C22×C4—114no—
1055C22×C4—114no—
1056C22×C4—118no—
1057C22×C4—118no—
1058C22×C4—118no—
1059C22×C4—118no—
1060C22×C4—114no—
1061C22×C4—114no—
1062C22×C4—118no—
1063C22×C4—118no—
1064C22×C4—114no—
1065C22×C4—114no—
1066C22×C4—118no—
1067C22×C4—118no—
1068C22×C4—228no—
1069C22×C4—224no—
1070C22×C4—228no—
1071C22×C4—224no—
1072C22×C4—228no—
1073C22×C4—228no—
1074C22×C4—444no—
1075C22×C4—444no—
1076C22×C4—444no—
1077C22×C4—442no—
1078C22×C4—442no—
1079C22×C4—4416no—
1080C22×C4—4416no—
1081C22×C4—4432no—
1082C22×C4—442no—
1083C22×C4—444no—
1084C22×C4—442no—
1085C22×C4C23×D1112yes—
1086C22×C4C23×D1112yes—
1087C22×C4C23×D1112yes—
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1112yes—
1091C22×C4C23×D1114yes—
1092C22×C4C23×D1114yes—
1093C22×C4C23×D1118yescomplemented
1094C4⋊C4—118no—
1095C4⋊C4—118no—
1096C4⋊C4—118no—
1097C4⋊C4—118no—
1098C4⋊C4—118no—
1099C4⋊C4—118no—
1100C4⋊C4—118no—
1101C4⋊C4—114no—
1102C4⋊C4—118no—
1103C4⋊C4—114no—
1104C4⋊C4C23×D1118yescomplemented
1105C4⋊C4C23×D1118yescomplemented
1106C4⋊C4C23×D1114yescomplemented
1107C4⋊C4C23×D1114yescomplemented
1108C22⋊C4—118no—
1109C22⋊C4—118no—
1110C22⋊C4—118no—
1111C22⋊C4—118no—
1112C22⋊C4—118no—
1113C22⋊C4—118no—
1114C22⋊C4—118no—
1115C22⋊C4—118no—
1116C22⋊C4—118no—
1117C22⋊C4—118no—
1118C22⋊C4—118no—
1119C22⋊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⋊C4C23×D1118yes—
1130C22⋊C4C23×D1118yes—
1131C22⋊C4C23×D1118yes—
1132C22⋊C4C23×D1118yes—
1133C22⋊C4C23×D1118yes—
1134C22⋊C4C23×D1118yescomplemented
1135C22⋊C4C23×D1118yescomplemented
1136C42—118no—
1137C42—118no—
1138C42—118no—
1139C42C23×D1118yescomplemented
1140C11C22×#53811yescharacteristic, complemented, Sylow
1141C23—22no—
1142C23—22no—
1143C23—24no—
1144C23—28no—
1145C23—24no—
1146C23—24no—
1147C23—24no—
1148C23—24no—
1149C23—24no—
1150C23—44no—
1151C23—44no—
1152C23—416no—
1153C23—114no—
1154C23—114no—
1155C23—114no—
1156C23—112no—
1157C23—1116no—
1158C23—114no—
1159C23—112no—
1160C23—114no—
1161C23—114no—
1162C23—228no—
1163C23—228no—
1164C23—2232no—
1165C23—2216no—
1166C23—2216no—
1167C23—2216no—
1168C23—2216no—
1169C23—2216no—
1170C23—2216no—
1171C23—2216no—
1172C23—222no—
1173C23—222no—
1174C23—224no—
1175C23—228no—
1176C23—224no—
1177C23—224no—
1178C23—224no—
1179C23—224no—
1180C23—224no—
1181C23—444no—
1182C23—444no—
1183C23—448no—
1184C23—448no—
1185C23—4416no—
1186C23—4432no—
1187C23—4432no—
1188C23—44128no—
1189C23—4432no—
1190C23#41×D1114yes—
1191C23C24×D1114yes—
1192C23C24×D1114yes—
1193C23C24×D1112yes—
1194C23C24×D1111yescharacteristic
1195Q8—44no—
1196Q8—444no—
1197Q8—448no—
1198D4—216no—
1199D4—48no—
1200D4—48no—
1201D4—44no—
1202D4—2216no—
1203D4—2216no—
1204D4—2216no—
1205D4—448no—
1206D4—444no—
1207D4—448no—
1208D4—448no—
1209D4—448no—
1210D4—448no—
1211D4—448no—
1212D4—448no—
1213C2×C4—24no—
1214C2×C4—24no—
1215C2×C4—22no—
1216C2×C4—24no—
1217C2×C4—22no—
1218C2×C4—24no—
1219C2×C4—44no—
1220C2×C4—44no—
1221C2×C4—48no—
1222C2×C4—114no—
1223C2×C4—114no—
1224C2×C4—114no—
1225C2×C4—112no—
1226C2×C4—112no—
1227C2×C4—114no—
1228C2×C4—2216no—
1229C2×C4—228no—
1230C2×C4—2216no—
1231C2×C4—228no—
1232C2×C4—2216no—
1233C2×C4—2216no—
1234C2×C4—224no—
1235C2×C4—224no—
1236C2×C4—224no—
1237C2×C4—222no—
1238C2×C4—222no—
1239C2×C4—224no—
1240C2×C4—448no—
1241C2×C4—448no—
1242C2×C4—448no—
1243C2×C4—444no—
1244C2×C4—444no—
1245C2×C4—444no—
1246C2×C4—448no—
1247C2×C4—444no—
1248C2×C4C24×D1114yes—
1249C2×C4C24×D1114yes—
1250C2×C4C24×D1114yes—
1251C2×C4C24×D1112yes—
1252C2×C4C24×D1112yes—
1253C2×C4C24×D1114yes—
1254C22—22no—
1255C22—22no—
1256C22—28no—
1257C22—24no—
1258C22—24no—
1259C22—24no—
1260C22—24no—
1261C22—24no—
1262C22—24no—
1263C22—416no—
1264C22—48no—
1265C22—48no—
1266C22—114no—
1267C22—114no—
1268C22—114no—
1269C22—1116no—
1270C22—114no—
1271C22—2232no—
1272C22—222no—
1273C22—222no—
1274C22—228no—
1275C22—224no—
1276C22—224no—
1277C22—224no—
1278C22—224no—
1279C22—224no—
1280C22—224no—
1281C22—4416no—
1282C22—4432no—
1283C22—4432no—
1284C22—4432no—
1285C22—448no—
1286C22—448no—
1287C22C2×#41×D1114yes—
1288C22C2×#41×D1112yes—
1289C22D11×H(5,𝔽2)12yes—
1290C22D11×H(5,𝔽2)12yes—
1291C22C25×D1111yescharacteristic
1292C4—24no—
1293C4—24no—
1294C4—22no—
1295C4—24no—
1296C4—22no—
1297C4—24no—
1298C4—224no—
1299C4—224no—
1300C4—224no—
1301C4—222no—
1302C4—222no—
1303C4—224no—
1304C2—24no—
1305C2—44no—
1306C2—44no—
1307C2—118no—
1308C2—224no—
1309C2—444no—
1310C2—444no—
1311C2D11×#53814yesdirect product factor
1312C2C22×#41×D1111yescharacteristic
1313C2C2×D11×H(5,𝔽2)11yescharacteristic
1314C2C2×D11×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#538C2
socleC23×C11C25
hypercenterC2×#538D11
hypocenterC11C22×#538
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#10623175C2semidirect
2. C2×#10623235C2semidirect
3. C2×#10623025C2semidirect
4. C2×#10623148C2semidirect
5. C2×#10623188C2semidirect
6. C2×#10623124C2semidirect
7. C2×#10623209C2semidirect
8. C2×#10623091C2semidirect
9. C2×#10623144C2semidirect
10. D11×#538C2direct (N × H)
11. C2×D11×#126C2semidirect
12. C2×D11×#124C2semidirect
13. C2×D11×#123C2semidirect
14. C2×D11×C22⋊Q8C2semidirect
15. C2×D11×#121C2semidirect
16. C2×D11×#121C2semidirect
17. C2×D11×#120C2semidirect
18. C2×C4×D4×D11C2semidirect
19. C22×C22⋊C4×D11C2semidirect
20. C2×C11×#538C2semidirect
22. C22×Q8×D11C22semidirect
26. C22×D4×D11C22semidirect
29. C23×C4×D11C22semidirect
30. C11×#538C22semidirect
31. C2×C11×#126C22semidirect
32. C2×C11×#124C22semidirect
33. C2×C11×#123C22semidirect
34. C2×C11×C22⋊Q8C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C11×#121C22semidirect
37. C2×C11×#120C22semidirect
38. C2×C4×D4×C11C22semidirect
39. C22×C11×C22⋊C4C22semidirect
40. C2×#67006C22semidirect
41. C22×C22⋊Dic11C22semidirect
42. C2×#67000C22semidirect
43. C2×#66999C22semidirect
44. C2×#66992C22semidirect
45. C2×#66992C22semidirect
46. C2×#66992C22semidirect
47. C2×#66991C22semidirect
48. C2×#66991C22semidirect
49. C2×#66990C22semidirect
50. C2×#66990C22semidirect
51. C2×#66990C22semidirect
52. C2×#66989C22semidirect
53. C2×#66988C22semidirect
54. C2×D4×Dic11C22semidirect
55. C2×#66983C22semidirect
56. C2×#66983C22semidirect
57. C2×#66982C22semidirect
58. C2×C4×C22⋊D11C22semidirect
59. C2×C4×C22⋊D11C22semidirect
60. C22×(C2×D11)⋊C4C22semidirect
61. C22×(C2×D11)⋊C4C22semidirect
62. C2×#66977C22semidirect
63. #10623235C22semidirect
64. D11×#126C22semidirect
65. #10623209C22semidirect
66. D11×#124C22semidirect
67. #10623188C22semidirect
68. D11×#123C22semidirect
69. #10623175C22semidirect
70. D11×C22⋊Q8C22semidirect
71. #10623148C22semidirect
72. #10623144C22semidirect
73. D11×#121C22semidirect
74. D11×#121C22semidirect
75. #10623124C22semidirect
76. D11×#120C22semidirect
77. #10623091C22semidirect
78. C4×D4×D11C22semidirect
79. C2×#66951C22semidirect
80. C2×#66951C22semidirect
81. C2×#66951C22semidirect
82. C2×#66950C22semidirect
83. C2×#66949C22semidirect
84. C2×#66948C22semidirect
85. C2×#66948C22semidirect
86. C2×#66947C22semidirect
87. C2×#66947C22semidirect
88. C2×#66946C22semidirect
89. C2×C4⋊C4×D11C22semidirect
90. C2×C4⋊C4×D11C22semidirect
91. C2×C4⋊C4×D11C22semidirect
92. C2×C4⋊C4×D11C22semidirect
93. #10623025C22semidirect
94. C2×#66939C22semidirect
95. C2×#66938C22semidirect
96. C2×#66938C22semidirect
97. C2×#66938C22semidirect
98. C2×#66938C22semidirect
99. C2×#66937C22semidirect
100. C2×#66937C22semidirect
101. C2×#66937C22semidirect
102. C2×#66936C22semidirect
103. C2×#66936C22semidirect
104. C2×#66935C22semidirect
105. C2×#66935C22semidirect
106. C2×#66935C22semidirect
107. C2×(C22⋊D11)⋊C4C22semidirect
108. C2×(C22⋊D11)⋊C4C22semidirect
114. C2×C22⋊C4×D11C22semidirect
115. C2×C22⋊C4×D11C22semidirect
116. C2×C22⋊C4×D11C22semidirect
117. C2×C22⋊C4×D11C22semidirect
118. C2×C22⋊C4×D11C22semidirect
119. C2×#66932C22semidirect
120. C2×#66932C22semidirect
121. C2×#66932C22semidirect
122. C2×#66931C22semidirect
123. C2×#66929C22semidirect
124. C2×#66928C22semidirect
125. C2×C4×D44C22semidirect
126. C2×C42×D11C22semidirect
137. C22×Q8×C11C23semidirect
141. C22×D4×C11C23semidirect
144. C23×C4×C11C23semidirect
151. C22×C22⋊D11C23semidirect
154. C23×Dic11C23semidirect
156. C2×Q8×D11C23semidirect
164. C2×D4×D11C23semidirect
168. C22×D44C23semidirect
183. C22×C4×D11C23semidirect
184. C22×C4×D11C23semidirect
185. C22×C4×D11C23semidirect
186. C22×Dic22C23semidirect
187. C22×Dic22C23semidirect
188. C11×#126C23semidirect
189. C11×#124C23semidirect
190. C11×#123C23semidirect
191. C11×C22⋊Q8C23semidirect
192. C11×#121C23semidirect
193. C11×#121C23semidirect
194. C11×#120C23semidirect
195. C4×D4×C11C23semidirect
196. C2×C11×C4⋊C4C23semidirect
197. C2×C11×C4⋊C4C23semidirect
198. C2×C11×C4⋊C4C23semidirect
199. C2×C11×C4⋊C4C23semidirect
205. C2×C11×C22⋊C4C23semidirect
206. C2×C11×C22⋊C4C23semidirect
207. C2×C11×C22⋊C4C23semidirect
208. C2×C42×C11C23semidirect
209. #67006C23semidirect
215. C2×C22⋊Dic11C23semidirect
216. C2×C22⋊Dic11C23semidirect
217. C2×C22⋊Dic11C23semidirect
218. #67000C23semidirect
219. #66999C23semidirect
220. #66992C23semidirect
221. #66992C23semidirect
222. #66992C23semidirect
223. #66991C23semidirect
224. #66991C23semidirect
225. #66990C23semidirect
226. #66990C23semidirect
227. #66990C23semidirect
228. #66989C23semidirect
229. #66988C23semidirect
230. D4×Dic11C23semidirect
231. #66983C23semidirect
232. #66983C23semidirect
233. #66982C23semidirect
234. C4×C22⋊D11C23semidirect
235. C4×C22⋊D11C23semidirect
246. C2×(C2×D11)⋊C4C23semidirect
247. C2×(C2×D11)⋊C4C23semidirect
248. C2×(C2×D11)⋊C4C23semidirect
249. C2×(C2×D11)⋊C4C23semidirect
250. C2×(C2×D11)⋊C4C23semidirect
251. C2×(C2×D11)⋊C4C23semidirect
252. C2×C4⋊Dic11C23semidirect
253. C2×C4⋊Dic11C23semidirect
254. C2×C4⋊Dic11C23semidirect
255. C2×C4⋊Dic11C23semidirect
256. #66977C23semidirect
257. C2×Dic11⋊C4C23semidirect
258. C2×Dic11⋊C4C23semidirect
259. C2×Dic11⋊C4C23semidirect
260. C2×Dic11⋊C4C23semidirect
261. C2×Dic11⋊C4C23semidirect
262. C2×Dic11⋊C4C23semidirect
263. C2×C4×Dic11C23semidirect
264. C2×C4×Dic11C23semidirect
265. C2×C4×Dic11C23semidirect
266. #66951C23semidirect
267. #66951C23semidirect
268. #66951C23semidirect
269. #66950C23semidirect
270. #66949C23semidirect
271. #66948C23semidirect
272. #66948C23semidirect
273. #66947C23semidirect
274. #66947C23semidirect
275. #66946C23semidirect
276. C4⋊C4×D11C23semidirect
277. C4⋊C4×D11C23semidirect
278. C4⋊C4×D11C23semidirect
279. C4⋊C4×D11C23semidirect
280. #66939C23semidirect
281. #66938C23semidirect
282. #66938C23semidirect
283. #66938C23semidirect
284. #66938C23semidirect
285. #66937C23semidirect
286. #66937C23semidirect
287. #66937C23semidirect
288. #66936C23semidirect
289. #66936C23semidirect
290. #66935C23semidirect
291. #66935C23semidirect
292. #66935C23semidirect
293. (C22⋊D11)⋊C4C23semidirect
294. (C22⋊D11)⋊C4C23semidirect
300. C22⋊C4×D11C23semidirect
301. C22⋊C4×D11C23semidirect
302. C22⋊C4×D11C23semidirect
303. C22⋊C4×D11C23semidirect
304. #66932C23semidirect
305. #66932C23semidirect
306. #66932C23semidirect
307. #66931C23semidirect
308. #66929C23semidirect
309. #66928C23semidirect
310. C4×D44C23semidirect
311. C42×D11C23semidirect
349. C2×Q8×C11C24semidirect
357. C2×D4×C11C24semidirect
369. C22×C4×C11C24semidirect
383. C2×C22⋊D11C24semidirect
395. C22×Dic11C24semidirect
408. C2×D44C24semidirect
432. C2×C4×D11C24semidirect
433. C2×C4×D11C24semidirect
436. C2×Dic22C24semidirect
437. C2×Dic22C24semidirect
438. C11×C4⋊C4C24semidirect
439. C11×C4⋊C4C24semidirect
440. C11×C4⋊C4C24semidirect
441. C11×C4⋊C4C24semidirect
447. C11×C22⋊C4C24semidirect
448. C11×C22⋊C4C24semidirect
449. C42×C11C24semidirect
455. C22⋊Dic11C24semidirect
456. C22⋊Dic11C24semidirect
467. (C2×D11)⋊C4C24semidirect
468. (C2×D11)⋊C4C24semidirect
469. (C2×D11)⋊C4C24semidirect
470. (C2×D11)⋊C4C24semidirect
471. C4⋊Dic11C24semidirect
472. C4⋊Dic11C24semidirect
473. C4⋊Dic11C24semidirect
474. C4⋊Dic11C24semidirect
475. Dic11⋊C4C24semidirect
476. Dic11⋊C4C24semidirect
477. Dic11⋊C4C24semidirect
478. Dic11⋊C4C24semidirect
479. Dic11⋊C4C24semidirect
480. Dic11⋊C4C24semidirect
481. C4×Dic11C24semidirect
482. C4×Dic11C24semidirect
483. C4×Dic11C24semidirect
494. C2×#538D11direct (N × H)
635. #538C2×D11direct (N × H)
644. C2×#126C2×D11semidirect
653. C2×#124C2×D11semidirect
662. C2×#123C2×D11semidirect
669. C2×C22⋊Q8C2×D11semidirect
684. C2×#121C2×D11semidirect
685. C2×#121C2×D11semidirect
694. C2×#120C2×D11semidirect
703. C2×C4×D4C2×D11semidirect
721. C22×C22⋊C4C2×D11semidirect
756. C2×D11#538direct (N × H)
787. C22×Q8C22×D11semidirect
810. C22×D4C22×D11semidirect
833. C23×C4C22×D11semidirect
841. #126C22×D11semidirect
849. #124C22×D11semidirect
857. #123C22×D11semidirect
863. C22⋊Q8C22×D11semidirect
876. #121C22×D11semidirect
877. #121C22×D11semidirect
885. #120C22×D11semidirect
893. C4×D4C22×D11semidirect
908. C2×C4⋊C4C22×D11semidirect
909. C2×C4⋊C4C22×D11semidirect
910. C2×C4⋊C4C22×D11semidirect
911. C2×C4⋊C4C22×D11semidirect
950. C2×C22⋊C4C22×D11semidirect
951. C2×C22⋊C4C22×D11semidirect
952. C2×C22⋊C4C22×D11semidirect
957. C2×C42C22×D11semidirect
961. C2×C11C2×#538semidirect
968. D11C2×#538direct (N × H)
1010. C2×Q8C23×D11semidirect
1044. C2×D4C23×D11semidirect
1093. C22×C4C23×D11semidirect
1104. C4⋊C4C23×D11semidirect
1105. C4⋊C4C23×D11semidirect
1106. C4⋊C4C23×D11semidirect
1107. C4⋊C4C23×D11semidirect
1134. C22⋊C4C23×D11semidirect
1135. C22⋊C4C23×D11semidirect
1139. C42C23×D11semidirect
1140. C11C22×#538semidirect
1311. C2D11×#538direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231752
C2×#106232352
C2×#106230252
C2×#106231482
C2×#106231882
C2×#106231242
C2×#106232092
C2×#106230912
C2×#106231442
D11×#5382
C2×D11×#1262
C2×D11×#1242
C2×D11×#1232
C2×D11×C22⋊Q82
C2×D11×#1212
C2×D11×#1202
C2×C4×D4×D112
C22×C22⋊C4×D112
C2×C11×#5382
C22×#53811