Finite Group Databasebeta

← C2×#13082770 #15660892

Subgroups — C2×#13082770 #15660892

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#13082770C2132yesmaximal, direct product factor
2C2×#10623214C211yesmaximal, characteristic, complemented
3C2×#10623151C212yesmaximal, complemented
4C2×#10623251C211yesmaximal, characteristic, complemented
5C2×#10623210C211yesmaximal, characteristic, complemented
6C2×#10623058C212yesmaximal, complemented
7C2×#10623141C212yesmaximal, complemented
8C2×#10623360C212yesmaximal, complemented
9C2×#10623122C212yesmaximal, complemented
10C2×#10623248C211yesmaximal, characteristic, complemented
11C2×#10623121C212yesmaximal, complemented
12C2×#10623124C212yesmaximal, complemented
13C2×#10623209C212yesmaximal, complemented
14C2×#10623144C212yesmaximal, complemented
15C2×#10623246C212yesmaximal, complemented
16C2×#10623335C211yesmaximal, characteristic, complemented
17C2×#10623136C212yesmaximal, complemented
18C22×#66990C211yesmaximal, characteristic, complemented
19C2×D11×#120C212yesmaximal, complemented
20C2×C11×#535C211yesmaximal, characteristic, complemented
21C25×D11C2211yescharacteristic, complemented
22C22×C11×#41C2211yescharacteristic, complemented
23C23×D4×C11C2211yescharacteristic, complemented
24C23×C22⋊D11C2212yescomplemented
25C23×C22⋊D11C2211yescharacteristic, complemented
26C22×#4341C2212yescomplemented
27C22×D4×D11C2212yescomplemented
28C22×D4×D11C2212yescomplemented
29C22×D4×D11C2212yescomplemented
30C22×D4×D11C2212yescomplemented
31C11×#535C22116yescomplemented
32C2×C11×#127C2211yescharacteristic, complemented
33C2×C11×#127C2211yescharacteristic, complemented
34C2×C11×#124C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic, complemented
36C2×C11×#121C2212yescomplemented
37C2×C11×#121C2212yescomplemented
38C2×C11×#120C2212yescomplemented
39C2×C11×#120C2212yescomplemented
40C2×C11×#117C2211yescharacteristic, complemented
41C2×#67006C2212yescomplemented
42C22×C22⋊Dic11C2211yescharacteristic, complemented
43C22×C22⋊Dic11C2211yescharacteristic, complemented
44#10623360C22132yescomplemented
45C2×#67000C2212yescomplemented
46C2×#66999C2212yescomplemented
47#10623335C22116yescomplemented
48C2×#66993C2212yescomplemented
49C2×#66992C2212yescomplemented
50C2×#66992C2212yescomplemented
51C2×#66992C2212yescomplemented
52C2×#66992C2212yescomplemented
53C2×#66992C2212yescomplemented
54C2×#66992C2212yescomplemented
55C2×#66992C2212yescomplemented
56C2×#66992C2212yescomplemented
57C2×#66991C2212yescomplemented
58C2×#66991C2212yescomplemented
59C2×#66990C2211yescharacteristic
60C2×#66990C2212yescomplemented
61C2×#66990C2212yescomplemented
62C2×#66990C2212yescomplemented
63C2×#66990C2212yescomplemented
64C2×#66990C2211yescharacteristic, complemented
65C2×#66990C2211yescharacteristic, complemented
66C2×#66990C2212yescomplemented
67C2×#66990C2211yescharacteristic, complemented
68C2×#66990C2212yescomplemented
69C2×#66990C2212yescomplemented
70C2×#66990C22116yescomplemented
71C2×#66990C2211yescharacteristic, complemented
72C2×#66990C2211yescharacteristic, complemented
73C2×#66989C2212yescomplemented
74C2×#66988C2211yescharacteristic, complemented
75C2×#66988C2211yescharacteristic, complemented
76C2×#66988C2212yescomplemented
77C2×D4×Dic11C2212yescomplemented
78C2×#66983C2212yescomplemented
79C2×#66982C2212yescomplemented
80C2×#66982C2212yescomplemented
81C2×C4×C22⋊D11C2212yescomplemented
82C22×(C2×D11)⋊C4C2212yescomplemented
83C22×(C2×D11)⋊C4C2212yescomplemented
84#10623251C22116yescomplemented
85#10623248C22116yescomplemented
86#10623246C22132yescomplemented
87#10623214C22116yescomplemented
88#10623210C22116yescomplemented
89#10623209C22132yescomplemented
90#10623151C22132yescomplemented
91#10623144C22132yescomplemented
92#10623141C22132yescomplemented
93#10623136C22132yescomplemented
94#10623124C22132yescomplemented
95#10623122C22132yescomplemented
96#10623121C22132yescomplemented
97D11×#120C22132yescomplemented
98#10623058C22132yescomplemented
99C2×#66951C2212yescomplemented
100C2×#66949C2212yescomplemented
101C2×#66947C2212yescomplemented
102C2×#66947C2212yescomplemented
103C2×#66939C2212yescomplemented
104C2×#66938C2212yescomplemented
105C2×#66938C2212yescomplemented
106C2×#66937C2212yescomplemented
107C2×#66937C2212yescomplemented
108C2×#66936C2212yescomplemented
109C2×#66936C2212yescomplemented
110C2×#66935C2212yes—
111C2×#66935C2212yescomplemented
112C2×#66935C2212yescomplemented
113C2×#66935C2212yescomplemented
114C2×(C22⋊D11)⋊C4C2212yescomplemented
115C2×(C22⋊D11)⋊C4C2212yescomplemented
116C2×(C22⋊D11)⋊C4C2212yescomplemented
117C2×C22⋊C4×D11C2212yescomplemented
118C2×C22⋊C4×D11C2212yescomplemented
119C2×C22⋊C4×D11C2212yescomplemented
120C2×#66932C2212yescomplemented
121C2×#66932C2212yescomplemented
122C2×#66931C2212yescomplemented
123C2×#66929C2212yescomplemented
124C2×#66928C2212yescomplemented
125C2×C4×D44C2212yescomplemented
126C2×#66925C2212yescomplemented
127C25×C11C2311yescharacteristic
128C25×C11C2311yescharacteristic
129C24×D11—48no—
130C24×D11—44no—
131C24×D11C2311yescharacteristic
132C24×D11C2312yes—
133C24×D11C2312yes—
134C24×D11C2312yes—
135C24×D11C2311yescharacteristic
136C24×D11C2318yescomplemented
137C24×D11C2311yescharacteristic, complemented
138C2×C11×#41—44no—
139C2×C11×#41C2318yescomplemented
140C22×Q8×C11C2311yescharacteristic, complemented
141C22×D4×C11—44no—
142C22×D4×C11C2312yes—
143C22×D4×C11C2311yescharacteristic
144C22×D4×C11C2311yescharacteristic
145C22×D4×C11C2312yes—
146C22×D4×C11C2312yes—
147C22×D4×C11C2311yescharacteristic
148C22×D4×C11C2311yescharacteristic
149C22×D4×C11C2318yescomplemented
150C22×D4×C11C2311yescharacteristic, complemented
151C22×D4×C11C2312yescomplemented
152C22×D4×C11C2312yescomplemented
153C23×C4×C11C2311yescharacteristic
154C23×C4×C11C2312yescomplemented
155C22×C22⋊D11—48no—
156C22×C22⋊D11—44no—
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⋊D11C23116yescomplemented
168C22×C22⋊D11C2312yescomplemented
169C22×C22⋊D11C2312yescomplemented
170C22×C22⋊D11C2318yescomplemented
171C23×Dic11C2312yes—
172C23×Dic11C2311yescharacteristic, complemented
173C23×Dic11C2312yescomplemented
174C23×Dic11C2312yescomplemented
175C2×#4341—48no—
176C2×#4341C23116yescomplemented
177C2×D4×D11—48no—
178C2×D4×D11—48no—
179C2×D4×D11—48no—
180C2×D4×D11—48no—
181C2×D4×D11C23116yescomplemented
182C2×D4×D11C23116yescomplemented
183C2×D4×D11C23116yescomplemented
184C2×D4×D11C23116yescomplemented
185C22×D44C2312yes—
186C22×D44C2312yes—
187C22×D44C2312yes—
188C22×C4×D11C2312yes—
189C22×C4×D11C2312yes—
190C22×C4×D11C2312yes—
191C22×C4×D11C2312yescomplemented
192C22×Dic22C2312yescomplemented
193C11×#127C2318yescomplemented
194C11×#127C2318yescomplemented
195C11×#124C2318yescomplemented
196C11×#124C2318yescomplemented
197C11×#121C23116yescomplemented
198C11×#121C23116yescomplemented
199C11×#120C23116yescomplemented
200C11×#120C23116yescomplemented
201C11×#117C2318yescomplemented
202C2×C11×C4⋊C4C2312yescomplemented
203C2×C11×C22⋊C4C2312yes—
204C2×C11×C22⋊C4C2312yes—
205C2×C11×C22⋊C4C2312yes—
206C2×C11×C22⋊C4C2312yescomplemented
207C2×C11×C22⋊C4C2312yescomplemented
208C2×C42×C11C2311yescharacteristic, complemented
209C2×C42×C11C2311yescharacteristic, complemented
210#67006C23116yescomplemented
211C2×C22⋊Dic11C2312yes—
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2312yes—
214C2×C22⋊Dic11C2312yes—
215C2×C22⋊Dic11C2312yes—
216C2×C22⋊Dic11C2311yescharacteristic
217C2×C22⋊Dic11C2318yescomplemented
218C2×C22⋊Dic11C2318yescomplemented
219C2×C22⋊Dic11C2311yescharacteristic, complemented
220C2×C22⋊Dic11C2311yescharacteristic, complemented
221C2×C22⋊Dic11C2312yescomplemented
222C2×C22⋊Dic11C2312yescomplemented
223#67000C23116yescomplemented
224#66999C23116yescomplemented
225#66993C23116yescomplemented
226#66992C23116yescomplemented
227#66992C23116yescomplemented
228#66992C23116yescomplemented
229#66992C23116yescomplemented
230#66992C23116yescomplemented
231#66992C23116yescomplemented
232#66992C23116yescomplemented
233#66992C23116yescomplemented
234#66991C23116yescomplemented
235#66991C23116yescomplemented
236#66990C2318yes—
237#66990C23116yescomplemented
238#66990C23116yescomplemented
239#66990C2318yescomplemented
240#66990C23116yescomplemented
241#66990C23116yescomplemented
242#66990C2318yescomplemented
243#66990C2318yescomplemented
244#66990C23116yescomplemented
245#66990C23116yescomplemented
246#66990C23116yescomplemented
247#66990C2318yescomplemented
248#66990C2318yescomplemented
249#66989C23116yescomplemented
250#66988C2318yescomplemented
251#66988C23116yescomplemented
252#66988C2318yescomplemented
253D4×Dic11C23116yescomplemented
254#66983C23116yescomplemented
255#66982C23116yescomplemented
256#66982C23116yescomplemented
257C4×C22⋊D11C23116yescomplemented
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)⋊C4C2312yes—
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C2312yes—
268C2×(C2×D11)⋊C4C23116yescomplemented
269C2×(C2×D11)⋊C4C23116yescomplemented
270C2×(C2×D11)⋊C4C2312yescomplemented
271C2×(C2×D11)⋊C4C2312yescomplemented
272C2×(C2×D11)⋊C4C2312yescomplemented
273C2×(C2×D11)⋊C4C2312yescomplemented
274C2×C4⋊Dic11C2312yescomplemented
275C2×C4⋊Dic11C2312yescomplemented
276C2×Dic11⋊C4C2312yescomplemented
277C2×Dic11⋊C4C2312yescomplemented
278C2×Dic11⋊C4C2312yescomplemented
279C2×Dic11⋊C4C2312yescomplemented
280C2×Dic11⋊C4C2312yescomplemented
281C2×Dic11⋊C4C2312yescomplemented
282C2×C4×Dic11C2312yescomplemented
283C2×C4×Dic11C2312yescomplemented
284#66951C23116yescomplemented
285#66949C23116yescomplemented
286#66947C23116yescomplemented
287#66947C23116yescomplemented
288#66939C23116yescomplemented
289#66938C23116yescomplemented
290#66938C23116yescomplemented
291#66937C23116yescomplemented
292#66937C23116yescomplemented
293#66936C23116yescomplemented
294#66936C23116yescomplemented
295#66935C23116yes—
296#66935C23116yescomplemented
297#66935C23116yescomplemented
298#66935C23116yescomplemented
299(C22⋊D11)⋊C4C23116yescomplemented
300(C22⋊D11)⋊C4C23116yescomplemented
301(C22⋊D11)⋊C4C23116yescomplemented
302C22⋊C4×D11C23116yescomplemented
303C22⋊C4×D11C23116yescomplemented
304C22⋊C4×D11C23116yescomplemented
305#66932C23116yescomplemented
306#66932C23116yescomplemented
307#66931C23116yescomplemented
308#66929C23116yescomplemented
309#66928C23116yescomplemented
310C4×D44C23116yescomplemented
311#66925C23116yescomplemented
312C2×#3532—111nomaximal, Sylow
313C24×C11—24no—
314C24×C11—24no—
315C24×C11—44no—
316C24×C11—44no—
317C24×C11C2411yescharacteristic
318C24×C11C2411yescharacteristic
319C24×C11C2411yescharacteristic
320C24×C11C2412yes—
321C24×C11C2411yescharacteristic
322C24×C11C2411yescharacteristic
323C24×C11C2414yes—
324C24×C11C2414yes—
325C23×D11—28no—
326C23×D11—28no—
327C23×D11—28no—
328C23×D11—28no—
329C23×D11—28no—
330C23×D11—432no—
331C23×D11—42no—
332C23×D11—44no—
333C23×D11—44no—
334C23×D11—44no—
335C23×D11—42no—
336C23×D11—44no—
337C23×D11—416no—
338C23×D11—44no—
339C23×D11—44no—
340C23×D11—44no—
341C23×D11—42no—
342C23×D11—464no—
343C23×D11C2412yes—
344C23×D11C2412yes—
345C23×D11C2414yes—
346C23×D11C2418yes—
347C23×D11C2412yes—
348C23×D11C2418yes—
349C23×D11C2418yes—
350C23×D11C2414yes—
351C23×D11C2414yescomplemented
352C11×#41—416no—
353C2×Q8×C11—42no—
354C2×Q8×C11C2414yescomplemented
355C2×D4×C11—28no—
356C2×D4×C11—44no—
357C2×D4×C11—44no—
358C2×D4×C11—44no—
359C2×D4×C11—44no—
360C2×D4×C11—42no—
361C2×D4×C11—42no—
362C2×D4×C11—42no—
363C2×D4×C11—42no—
364C2×D4×C11—416no—
365C2×D4×C11—42no—
366C2×D4×C11C2418yes—
367C2×D4×C11C2414yes—
368C2×D4×C11C2414yes—
369C2×D4×C11C2418yes—
370C2×D4×C11C2418yes—
371C2×D4×C11C2414yes—
372C2×D4×C11C2414yes—
373C2×D4×C11C2414yescomplemented
374C2×D4×C11C2418yescomplemented
375C2×D4×C11C2418yescomplemented
376C22×C4×C11—24no—
377C22×C4×C11—44no—
378C22×C4×C11C2412yes—
379C22×C4×C11C2412yes—
380C22×C4×C11C2412yes—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2414yes—
384C22×C4×C11C2418yescomplemented
385C2×C22⋊D11—28no—
386C2×C22⋊D11—28no—
387C2×C22⋊D11—28no—
388C2×C22⋊D11—28no—
389C2×C22⋊D11—44no—
390C2×C22⋊D11—44no—
391C2×C22⋊D11—44no—
392C2×C22⋊D11—44no—
393C2×C22⋊D11—44no—
394C2×C22⋊D11—44no—
395C2×C22⋊D11—44no—
396C2×C22⋊D11—44no—
397C2×C22⋊D11—432no—
398C2×C22⋊D11—416no—
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
411C22×Dic11—44no—
412C22×Dic11—44no—
413C22×Dic11—44no—
414C22×Dic11—42no—
415C22×Dic11C2412yes—
416C22×Dic11C2412yes—
417C22×Dic11C2412yes—
418C22×Dic11C2412yes—
419C22×Dic11C2412yes—
420C22×Dic11C2418yes—
421C22×Dic11C2414yescomplemented
422C22×Dic11C2418yescomplemented
423C22×Dic11C2418yescomplemented
424#4341—432no—
425D4×D11—432no—
426D4×D11—432no—
427D4×D11—432no—
428D4×D11—432no—
429C2×D44—28no—
430C2×D44—44no—
431C2×D44—44no—
432C2×D44C2418yes—
433C2×D44C2418yes—
434C2×D44C2418yes—
435C2×C4×D11—28no—
436C2×C4×D11—44no—
437C2×C4×D11—44no—
438C2×C4×D11—44no—
439C2×C4×D11C2418yes—
440C2×C4×D11C2418yes—
441C2×C4×D11C2418yes—
442C2×C4×D11C2418yescomplemented
443C2×Dic22—44no—
444C2×Dic22C2418yescomplemented
445C11×C4⋊C4C2418yescomplemented
446C11×C22⋊C4C2418yes—
447C11×C22⋊C4C2418yes—
448C11×C22⋊C4C2418yes—
449C11×C22⋊C4C2418yescomplemented
450C11×C22⋊C4C2418yescomplemented
451C42×C11C2414yescomplemented
452C42×C11C2414yescomplemented
453C22⋊Dic11C2418yes—
454C22⋊Dic11C2414yes—
455C22⋊Dic11C2418yes—
456C22⋊Dic11C2418yes—
457C22⋊Dic11C2418yes—
458C22⋊Dic11C2414yes—
459C22⋊Dic11C2414yescomplemented
460C22⋊Dic11C2414yescomplemented
461C22⋊Dic11C2418yescomplemented
462C22⋊Dic11C2418yescomplemented
463(C2×D11)⋊C4C2418yes—
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)⋊C4C2418yescomplemented
474(C2×D11)⋊C4C2418yescomplemented
475(C2×D11)⋊C4C2418yescomplemented
476(C2×D11)⋊C4C2418yescomplemented
477C4⋊Dic11C2418yescomplemented
478C4⋊Dic11C2418yescomplemented
479Dic11⋊C4C2418yescomplemented
480Dic11⋊C4C2418yescomplemented
481Dic11⋊C4C2418yescomplemented
482Dic11⋊C4C2418yescomplemented
483Dic11⋊C4C2418yescomplemented
484Dic11⋊C4C2418yescomplemented
485C4×Dic11C2418yescomplemented
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—111no—
497C2×D42—112no—
498C2×#538—112no—
499C2×#538—112no—
500C2×#538—112no—
501C2×#535—112no—
502C2×#535D1111yescharacteristic, complemented
503C2×#534—111no—
504C2×#534—112no—
505C22×#120—111no—
506C22×#120—112no—
507C23×C11—24no—
508C23×C11—24no—
509C23×C11—24no—
510C23×C11—22no—
511C23×C11—24no—
512C23×C11—24no—
513C23×C11—22no—
514C23×C11—24no—
515C23×C11—24no—
516C23×C11—24no—
517C23×C11—28no—
518C23×C11—22no—
519C23×C11—22no—
520C23×C11—28no—
521C23×C11—48no—
522C23×C11—48no—
523C23×C11—416no—
524C23×C11—88no—
525C23×C11H(5,𝔽2)14yes—
526C23×C11C2512yes—
527C23×C11C2512yes—
528C23×C11C2512yes—
529C23×C11C2514yes—
530C23×C11C2512yes—
531C23×C11C2512yes—
532C23×C11C2511yescharacteristic
533C22×D11—24no—
534C22×D11—24no—
535C22×D11—24no—
536C22×D11—24no—
537C22×D11—24no—
538C22×D11—24no—
539C22×D11—24no—
540C22×D11—216no—
541C22×D11—24no—
542C22×D11—216no—
543C22×D11—216no—
544C22×D11—216no—
545C22×D11—216no—
546C22×D11—44no—
547C22×D11—48no—
548C22×D11—48no—
549C22×D11—48no—
550C22×D11—44no—
551C22×D11—48no—
552C22×D11—416no—
553C22×D11—48no—
554C22×D11—48no—
555C22×D11—48no—
556C22×D11—44no—
557C22×D11—432no—
558C22×D11—432no—
559C22×D11—4128no—
560C22×D11—416no—
561C22×D11—816no—
562C22×D11—88no—
563C22×D11H(5,𝔽2)18yes—
564C22×D11C2514yes—
565C22×D11C2514yes—
566C22×D11C2514yes—
567Q8×C11—44no—
568D4×C11—216no—
569D4×C11—48no—
570D4×C11—48no—
571D4×C11—48no—
572D4×C11—48no—
573D4×C11—44no—
574D4×C11—44no—
575D4×C11—44no—
576D4×C11—44no—
577D4×C11—44no—
578C2×C4×C11—24no—
579C2×C4×C11—24no—
580C2×C4×C11—24no—
581C2×C4×C11—22no—
582C2×C4×C11—22no—
583C2×C4×C11—28no—
584C2×C4×C11—48no—
585C2×C4×C11C2514yes—
586C2×C4×C11C2514yes—
587C2×C4×C11C2514yes—
588C2×C4×C11C2512yes—
589C2×C4×C11C2512yes—
590C22⋊D11—216no—
591C22⋊D11—216no—
592C22⋊D11—216no—
593C22⋊D11—216no—
594C22⋊D11—48no—
595C22⋊D11—48no—
596C22⋊D11—48no—
597C22⋊D11—48no—
598C22⋊D11—48no—
599C22⋊D11—48no—
600C22⋊D11—48no—
601C22⋊D11—48no—
602C2×Dic11—24no—
603C2×Dic11—24no—
604C2×Dic11—24no—
605C2×Dic11—24no—
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—
616D44—216no—
617D44—48no—
618D44—48no—
619C4×D11—216no—
620C4×D11—48no—
621C4×D11—48no—
622C4×D11—48no—
623Dic22—48no—
624C26—111no—
625C22×#41—112no—
626C22×#41C2×D1111yescharacteristic, complemented
627C23×D4—112no—
628C23×D4—111no—
629C23×D4—112no—
630C23×D4—112no—
631C23×D4—112no—
632C23×D4—112no—
633C23×D4C2×D1111yescharacteristic, complemented
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—1116no—
643D42—1132no—
644#538—1132no—
645#538—1132no—
646#538—1132no—
647#535—1132no—
648#535C2×D11116yescomplemented
649#534—1116no—
650#534—1132no—
651C2×#127—112no—
652C2×#127C2×D1111yescharacteristic, complemented
653C2×#127C2×D1111yescharacteristic, complemented
654C2×#126—112no—
655C2×#126—112no—
656C2×#126—112no—
657C2×#126—112no—
658C2×#124—112no—
659C2×#124—112no—
660C2×#124—112no—
661C2×#124—112no—
662C2×#124—112no—
663C2×#124C2×D1111yescharacteristic, complemented
664C2×#124C2×D1111yescharacteristic, complemented
665C2×#123—111no—
666C2×#123—111no—
667C2×#123—112no—
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×#121C2×D1112yescomplemented
692C2×#121C2×D1112yescomplemented
693C2×#120—112no—
694C2×#120—111no—
695C2×#120—112no—
696C2×#120—112no—
697C2×#120—112no—
698C2×#120—112no—
699C2×#120—111no—
700C2×#120—111no—
701C2×#120—112no—
702C2×#120—111no—
703C2×#120—111no—
704C2×#120—111no—
705C2×#120—1116no—
706C2×#120—112no—
707C2×#120—112no—
708C2×#120—1132no—
709C2×#120—112no—
710C2×#120—112no—
711C2×#120—112no—
712C2×#120—112no—
713C2×#120C2×D1112yescomplemented
714C2×#120C2×D1112yescomplemented
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—112no—
722C2×#117C2×D1111yescharacteristic, complemented
723C22×C22⋊C4—111no—
724C22×C22⋊C4—111no—
725C22×C22⋊C4—112no—
726C22×C22⋊C4—112no—
727C22×C22⋊C4—112no—
728C22×C22⋊C4—112no—
729C22×C22⋊C4—112no—
730C22×C11—24no—
731C22×C11—28no—
732C22×C11—24no—
733C22×C11—24no—
734C22×C11—22no—
735C22×C11—22no—
736C22×C11—22no—
737C22×C11—24no—
738C22×C11—22no—
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×C11C2×H(5,𝔽2)14yes—
751C22×C11C2×H(5,𝔽2)12yes—
752C22×C11C2×H(5,𝔽2)14yes—
753C22×C11C2611yescharacteristic
754C2×D11—24no—
755C2×D11—24no—
756C2×D11—216no—
757C2×D11—24no—
758C2×D11—24no—
759C2×D11—24no—
760C2×D11—24no—
761C2×D11—24no—
762C2×D11—24no—
763C2×D11—416no—
764C2×D11—432no—
765C2×D11—432no—
766C2×D11—416no—
767C2×D11—48no—
768C2×D11—48no—
769C2×D11—816no—
770C2×D11—88no—
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—111no—
789C25—444no—
790C25—448no—
791C25C22×D1111yescharacteristic
792C25C22×D1111yescharacteristic
793C2×#41—44no—
794C2×#41—1116no—
795C2×#41—448no—
796C2×#41C22×D1118yescomplemented
797C22×Q8—112no—
798C22×Q8C22×D1111yescharacteristic, complemented
799C22×D4—44no—
800C22×D4—112no—
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—1116no—
811C22×D4—112no—
812C22×D4—112no—
813C22×D4—118no—
814C22×D4—1116no—
815C22×D4—1116no—
816C22×D4—1116no—
817C22×D4—1116no—
818C22×D4—112no—
819C22×D4—112no—
820C22×D4—112no—
821C22×D4—448no—
822C22×D4—448no—
823C22×D4—448no—
824C22×D4—448no—
825C22×D4—444no—
826C22×D4—448no—
827C22×D4C22×D1112yes—
828C22×D4C22×D1111yescharacteristic
829C22×D4C22×D1111yescharacteristic
830C22×D4C22×D1111yescharacteristic
831C22×D4C22×D1111yescharacteristic
832C22×D4C22×D1112yes—
833C22×D4C22×D1112yes—
834C22×D4C22×D1118yescomplemented
835C22×D4C22×D1111yescharacteristic, complemented
836C22×D4C22×D1112yescomplemented
837C22×D4C22×D1112yescomplemented
838C23×C4—112no—
839C23×C4—112no—
840C23×C4—112no—
841C23×C4—111no—
842C23×C4—112no—
843C23×C4—112no—
844C23×C4—112no—
845C23×C4—112no—
846C23×C4C22×D1111yescharacteristic
847C23×C4C22×D1112yescomplemented
848#127—1116no—
849#127C22×D1118yescomplemented
850#127C22×D1118yescomplemented
851#126—1116no—
852#126—1116no—
853#126—1116no—
854#126—1116no—
855#124—1116no—
856#124—1116no—
857#124—1116no—
858#124—1116no—
859#124—1116no—
860#124C22×D1118yescomplemented
861#124C22×D1118yescomplemented
862#123—118no—
863#123—118no—
864#123—1116no—
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#121C22×D11116yescomplemented
889#121C22×D11116yescomplemented
890#120—1116no—
891#120—1116no—
892#120—1116no—
893#120—1116no—
894#120—118no—
895#120—1116no—
896#120—118no—
897#120—118no—
898#120—1116no—
899#120—118no—
900#120—118no—
901#120—118no—
902#120—1116no—
903#120—1116no—
904#120—1116no—
905#120—1116no—
906#120—1116no—
907#120—1116no—
908#120C22×D11116yescomplemented
909#120C22×D11116yescomplemented
910C4×D4—1116no—
911C4×D4—1116no—
912C4×D4—1116no—
913C4×D4—1116no—
914C4×D4—1116no—
915C4×D4—1116no—
916#117—1116no—
917#117C22×D1118yescomplemented
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⋊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—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—118no—
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—112no—
949C2×C22⋊C4—1116no—
950C2×C22⋊C4—112no—
951C2×C22⋊C4—112no—
952C2×C22⋊C4—112no—
953C2×C22⋊C4—112no—
954C2×C22⋊C4—1116no—
955C2×C22⋊C4—1116no—
956C2×C22⋊C4—1116no—
957C2×C22⋊C4—1116no—
958C2×C22⋊C4C22×D1112yes—
959C2×C22⋊C4C22×D1112yes—
960C2×C22⋊C4C22×D1112yes—
961C2×C22⋊C4C22×D1112yescomplemented
962C2×C22⋊C4C22×D1112yescomplemented
963C2×C42—112no—
964C2×C42—112no—
965C2×C42C22×D1111yescharacteristic, complemented
966C2×C42C22×D1111yescharacteristic, complemented
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—44no—
983C24—112no—
984C24—112no—
985C24—112no—
986C24—114no—
987C24—118no—
988C24—118no—
989C24—118no—
990C24—114no—
991C24—114no—
992C24—228no—
993C24—228no—
994C24—228no—
995C24—228no—
996C24—228no—
997C24—444no—
998C24—442no—
999C24—444no—
1000C24—442no—
1001C24—4416no—
1002C24—444no—
1003C24—444no—
1004C24—444no—
1005C24—442no—
1006C24—444no—
1007C24—444no—
1008C24—4432no—
1009C24—4464no—
1010C24C23×D1111yescharacteristic
1011C24C23×D1111yescharacteristic
1012C24C23×D1111yescharacteristic
1013C24C23×D1112yes—
1014C24C23×D1111yescharacteristic
1015C24C23×D1111yescharacteristic
1016C24C23×D1114yes—
1017C24C23×D1114yes—
1018#41—416no—
1019#41—4432no—
1020C2×Q8—42no—
1021C2×Q8—118no—
1022C2×Q8—444no—
1023C2×Q8C23×D1114yescomplemented
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—42no—
1034C2×D4—44no—
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—228no—
1051C2×D4—228no—
1052C2×D4—228no—
1053C2×D4—228no—
1054C2×D4—228no—
1055C2×D4—444no—
1056C2×D4—444no—
1057C2×D4—4432no—
1058C2×D4—444no—
1059C2×D4—444no—
1060C2×D4—444no—
1061C2×D4—444no—
1062C2×D4—444no—
1063C2×D4—444no—
1064C2×D4—444no—
1065C2×D4—444no—
1066C2×D4—4432no—
1067C2×D4—4432no—
1068C2×D4—4432no—
1069C2×D4—4416no—
1070C2×D4—4432no—
1071C2×D4C23×D1118yes—
1072C2×D4C23×D1114yes—
1073C2×D4C23×D1114yes—
1074C2×D4C23×D1114yes—
1075C2×D4C23×D1114yes—
1076C2×D4C23×D1118yes—
1077C2×D4C23×D1118yes—
1078C2×D4C23×D1114yescomplemented
1079C2×D4C23×D1118yescomplemented
1080C2×D4C23×D1118yescomplemented
1081C22×C4—24no—
1082C22×C4—44no—
1083C22×C4—112no—
1084C22×C4—112no—
1085C22×C4—112no—
1086C22×C4—112no—
1087C22×C4—112no—
1088C22×C4—118no—
1089C22×C4—118no—
1090C22×C4—118no—
1091C22×C4—114no—
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—442no—
1101C22×C4—444no—
1102C22×C4—444no—
1103C22×C4—444no—
1104C22×C4C23×D1114yes—
1105C22×C4C23×D1112yes—
1106C22×C4C23×D1112yes—
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1112yes—
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1118yescomplemented
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⋊C4C23×D1118yescomplemented
1120C22⋊C4—118no—
1121C22⋊C4—114no—
1122C22⋊C4—118no—
1123C22⋊C4—118no—
1124C22⋊C4—118no—
1125C22⋊C4—114no—
1126C22⋊C4—114no—
1127C22⋊C4—114no—
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⋊C4—118no—
1143C22⋊C4—118no—
1144C22⋊C4C23×D1118yes—
1145C22⋊C4C23×D1118yes—
1146C22⋊C4C23×D1118yes—
1147C22⋊C4C23×D1118yescomplemented
1148C22⋊C4C23×D1118yescomplemented
1149C42—118no—
1150C42—118no—
1151C42C23×D1114yescomplemented
1152C42C23×D1114yescomplemented
1153C11C2×#353211yescharacteristic, complemented, Sylow
1154C23—24no—
1155C23—24no—
1156C23—22no—
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—48no—
1170C23—416no—
1171C23—88no—
1172C23—118no—
1173C23—114no—
1174C23—114no—
1175C23—114no—
1176C23—2216no—
1177C23—2216no—
1178C23—2216no—
1179C23—2216no—
1180C23—224no—
1181C23—224no—
1182C23—224no—
1183C23—2216no—
1184C23—224no—
1185C23—224no—
1186C23—224no—
1187C23—224no—
1188C23—224no—
1189C23—448no—
1190C23—448no—
1191C23—448no—
1192C23—444no—
1193C23—448no—
1194C23—444no—
1195C23—448no—
1196C23—448no—
1197C23—448no—
1198C23—444no—
1199C23—4432no—
1200C23—4416no—
1201C23—4432no—
1202C23—44128no—
1203C23—4416no—
1204C23—8816no—
1205C23—888no—
1206C23#6703714yes—
1207C23C24×D1112yes—
1208C23C24×D1112yes—
1209C23C24×D1112yes—
1210C23C24×D1114yes—
1211C23C24×D1112yes—
1212C23C24×D1112yes—
1213C23C24×D1111yescharacteristic
1214Q8—44no—
1215Q8—448no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—2216no—
1227D4—2216no—
1228D4—2216no—
1229D4—2216no—
1230D4—2216no—
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—24no—
1247C2×C4—48no—
1248C2×C4—114no—
1249C2×C4—114no—
1250C2×C4—114no—
1251C2×C4—114no—
1252C2×C4—114no—
1253C2×C4—2216no—
1254C2×C4—224no—
1255C2×C4—224no—
1256C2×C4—224no—
1257C2×C4—224no—
1258C2×C4—224no—
1259C2×C4—448no—
1260C2×C4—448no—
1261C2×C4—448no—
1262C2×C4—448no—
1263C2×C4—444no—
1264C2×C4—448no—
1265C2×C4—448no—
1266C2×C4C24×D1114yes—
1267C2×C4C24×D1114yes—
1268C2×C4C24×D1112yes—
1269C2×C4C24×D1114yes—
1270C2×C4C24×D1112yes—
1271C22—24no—
1272C22—28no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—118no—
1292C22—224no—
1293C22—224no—
1294C22—2216no—
1295C22—224no—
1296C22—224no—
1297C22—224no—
1298C22—224no—
1299C22—224no—
1300C22—224no—
1301C22—4432no—
1302C22—4416no—
1303C22—4432no—
1304C22—4416no—
1305C22—448no—
1306C22—448no—
1307C22—8816no—
1308C22—888no—
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—42no—
1328C2—44no—
1329C2—228no—
1330C2—444no—
1331C2—444no—
1332C2#1308277014yesdirect product factor
1333C2C2×D11×H(5,𝔽2)12yes—
1334C2C22×#6703711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#535C2
socleC23×C11C25
hypercenterC2×#535D11
hypocenterC11C2×#3532
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #13082770C2direct (N × H)
2. C2×#10623214C2semidirect
3. C2×#10623151C2semidirect
4. C2×#10623251C2semidirect
5. C2×#10623210C2semidirect
6. C2×#10623058C2semidirect
7. C2×#10623141C2semidirect
8. C2×#10623360C2semidirect
9. C2×#10623122C2semidirect
10. C2×#10623248C2semidirect
11. C2×#10623121C2semidirect
12. C2×#10623124C2semidirect
13. C2×#10623209C2semidirect
14. C2×#10623144C2semidirect
15. C2×#10623246C2semidirect
16. C2×#10623335C2semidirect
17. C2×#10623136C2semidirect
18. C22×#66990C2semidirect
19. C2×D11×#120C2semidirect
20. C2×C11×#535C2semidirect
21. C25×D11C22semidirect
22. C22×C11×#41C22semidirect
23. C23×D4×C11C22semidirect
24. C23×C22⋊D11C22semidirect
25. C23×C22⋊D11C22semidirect
26. C22×#4341C22semidirect
27. C22×D4×D11C22semidirect
28. C22×D4×D11C22semidirect
29. C22×D4×D11C22semidirect
30. C22×D4×D11C22semidirect
31. C11×#535C22semidirect
32. C2×C11×#127C22semidirect
33. C2×C11×#127C22semidirect
34. C2×C11×#124C22semidirect
35. C2×C11×#124C22semidirect
36. C2×C11×#121C22semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#120C22semidirect
39. C2×C11×#120C22semidirect
40. C2×C11×#117C22semidirect
41. C2×#67006C22semidirect
42. C22×C22⋊Dic11C22semidirect
43. C22×C22⋊Dic11C22semidirect
44. #10623360C22semidirect
45. C2×#67000C22semidirect
46. C2×#66999C22semidirect
47. #10623335C22semidirect
48. C2×#66993C22semidirect
49. C2×#66992C22semidirect
50. C2×#66992C22semidirect
51. C2×#66992C22semidirect
52. C2×#66992C22semidirect
53. C2×#66992C22semidirect
54. C2×#66992C22semidirect
55. C2×#66992C22semidirect
56. C2×#66992C22semidirect
57. C2×#66991C22semidirect
58. C2×#66991C22semidirect
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×#66990C22semidirect
69. C2×#66990C22semidirect
70. C2×#66990C22semidirect
71. C2×#66990C22semidirect
72. C2×#66990C22semidirect
73. C2×#66989C22semidirect
74. C2×#66988C22semidirect
75. C2×#66988C22semidirect
76. C2×#66988C22semidirect
77. C2×D4×Dic11C22semidirect
78. C2×#66983C22semidirect
79. C2×#66982C22semidirect
80. C2×#66982C22semidirect
81. C2×C4×C22⋊D11C22semidirect
82. C22×(C2×D11)⋊C4C22semidirect
83. C22×(C2×D11)⋊C4C22semidirect
84. #10623251C22semidirect
85. #10623248C22semidirect
86. #10623246C22semidirect
87. #10623214C22semidirect
88. #10623210C22semidirect
89. #10623209C22semidirect
90. #10623151C22semidirect
91. #10623144C22semidirect
92. #10623141C22semidirect
93. #10623136C22semidirect
94. #10623124C22semidirect
95. #10623122C22semidirect
96. #10623121C22semidirect
97. D11×#120C22semidirect
98. #10623058C22semidirect
99. C2×#66951C22semidirect
100. C2×#66949C22semidirect
101. C2×#66947C22semidirect
102. C2×#66947C22semidirect
103. C2×#66939C22semidirect
104. C2×#66938C22semidirect
105. C2×#66938C22semidirect
106. C2×#66937C22semidirect
107. C2×#66937C22semidirect
108. C2×#66936C22semidirect
109. C2×#66936C22semidirect
111. C2×#66935C22semidirect
112. C2×#66935C22semidirect
113. C2×#66935C22semidirect
114. C2×(C22⋊D11)⋊C4C22semidirect
115. C2×(C22⋊D11)⋊C4C22semidirect
116. C2×(C22⋊D11)⋊C4C22semidirect
117. C2×C22⋊C4×D11C22semidirect
118. C2×C22⋊C4×D11C22semidirect
119. C2×C22⋊C4×D11C22semidirect
120. C2×#66932C22semidirect
121. C2×#66932C22semidirect
122. C2×#66931C22semidirect
123. C2×#66929C22semidirect
124. C2×#66928C22semidirect
125. C2×C4×D44C22semidirect
126. C2×#66925C22semidirect
136. C24×D11C23semidirect
137. C24×D11C23semidirect
139. C2×C11×#41C23semidirect
140. C22×Q8×C11C23semidirect
149. C22×D4×C11C23semidirect
150. C22×D4×C11C23semidirect
151. C22×D4×C11C23semidirect
152. C22×D4×C11C23semidirect
154. C23×C4×C11C23semidirect
167. C22×C22⋊D11C23semidirect
168. C22×C22⋊D11C23semidirect
169. C22×C22⋊D11C23semidirect
170. C22×C22⋊D11C23semidirect
172. C23×Dic11C23semidirect
173. C23×Dic11C23semidirect
174. C23×Dic11C23semidirect
176. C2×#4341C23semidirect
181. C2×D4×D11C23semidirect
182. C2×D4×D11C23semidirect
183. C2×D4×D11C23semidirect
184. C2×D4×D11C23semidirect
191. C22×C4×D11C23semidirect
192. C22×Dic22C23semidirect
193. C11×#127C23semidirect
194. C11×#127C23semidirect
195. C11×#124C23semidirect
196. C11×#124C23semidirect
197. C11×#121C23semidirect
198. C11×#121C23semidirect
199. C11×#120C23semidirect
200. C11×#120C23semidirect
201. C11×#117C23semidirect
202. C2×C11×C4⋊C4C23semidirect
206. C2×C11×C22⋊C4C23semidirect
207. C2×C11×C22⋊C4C23semidirect
208. C2×C42×C11C23semidirect
209. C2×C42×C11C23semidirect
210. #67006C23semidirect
217. C2×C22⋊Dic11C23semidirect
218. C2×C22⋊Dic11C23semidirect
219. C2×C22⋊Dic11C23semidirect
220. C2×C22⋊Dic11C23semidirect
221. C2×C22⋊Dic11C23semidirect
222. C2×C22⋊Dic11C23semidirect
223. #67000C23semidirect
224. #66999C23semidirect
225. #66993C23semidirect
226. #66992C23semidirect
227. #66992C23semidirect
228. #66992C23semidirect
229. #66992C23semidirect
230. #66992C23semidirect
231. #66992C23semidirect
232. #66992C23semidirect
233. #66992C23semidirect
234. #66991C23semidirect
235. #66991C23semidirect
237. #66990C23semidirect
238. #66990C23semidirect
239. #66990C23semidirect
240. #66990C23semidirect
241. #66990C23semidirect
242. #66990C23semidirect
243. #66990C23semidirect
244. #66990C23semidirect
245. #66990C23semidirect
246. #66990C23semidirect
247. #66990C23semidirect
248. #66990C23semidirect
249. #66989C23semidirect
250. #66988C23semidirect
251. #66988C23semidirect
252. #66988C23semidirect
253. D4×Dic11C23semidirect
254. #66983C23semidirect
255. #66982C23semidirect
256. #66982C23semidirect
257. C4×C22⋊D11C23semidirect
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. C2×(C2×D11)⋊C4C23semidirect
274. C2×C4⋊Dic11C23semidirect
275. C2×C4⋊Dic11C23semidirect
276. C2×Dic11⋊C4C23semidirect
277. C2×Dic11⋊C4C23semidirect
278. C2×Dic11⋊C4C23semidirect
279. C2×Dic11⋊C4C23semidirect
280. C2×Dic11⋊C4C23semidirect
281. C2×Dic11⋊C4C23semidirect
282. C2×C4×Dic11C23semidirect
283. C2×C4×Dic11C23semidirect
284. #66951C23semidirect
285. #66949C23semidirect
286. #66947C23semidirect
287. #66947C23semidirect
288. #66939C23semidirect
289. #66938C23semidirect
290. #66938C23semidirect
291. #66937C23semidirect
292. #66937C23semidirect
293. #66936C23semidirect
294. #66936C23semidirect
296. #66935C23semidirect
297. #66935C23semidirect
298. #66935C23semidirect
299. (C22⋊D11)⋊C4C23semidirect
300. (C22⋊D11)⋊C4C23semidirect
301. (C22⋊D11)⋊C4C23semidirect
302. C22⋊C4×D11C23semidirect
303. C22⋊C4×D11C23semidirect
304. C22⋊C4×D11C23semidirect
305. #66932C23semidirect
306. #66932C23semidirect
307. #66931C23semidirect
308. #66929C23semidirect
309. #66928C23semidirect
310. C4×D44C23semidirect
311. #66925C23semidirect
351. C23×D11C24semidirect
354. C2×Q8×C11C24semidirect
373. C2×D4×C11C24semidirect
374. C2×D4×C11C24semidirect
375. C2×D4×C11C24semidirect
384. C22×C4×C11C24semidirect
409. C2×C22⋊D11C24semidirect
410. C2×C22⋊D11C24semidirect
421. C22×Dic11C24semidirect
422. C22×Dic11C24semidirect
423. C22×Dic11C24semidirect
442. C2×C4×D11C24semidirect
444. C2×Dic22C24semidirect
445. C11×C4⋊C4C24semidirect
449. C11×C22⋊C4C24semidirect
450. C11×C22⋊C4C24semidirect
451. C42×C11C24semidirect
452. C42×C11C24semidirect
459. C22⋊Dic11C24semidirect
460. C22⋊Dic11C24semidirect
461. C22⋊Dic11C24semidirect
462. C22⋊Dic11C24semidirect
473. (C2×D11)⋊C4C24semidirect
474. (C2×D11)⋊C4C24semidirect
475. (C2×D11)⋊C4C24semidirect
476. (C2×D11)⋊C4C24semidirect
477. C4⋊Dic11C24semidirect
478. C4⋊Dic11C24semidirect
479. Dic11⋊C4C24semidirect
480. Dic11⋊C4C24semidirect
481. Dic11⋊C4C24semidirect
482. Dic11⋊C4C24semidirect
483. Dic11⋊C4C24semidirect
484. Dic11⋊C4C24semidirect
485. C4×Dic11C24semidirect
486. C4×Dic11C24semidirect
502. C2×#535D11semidirect
626. C22×#41C2×D11semidirect
633. C23×D4C2×D11semidirect
648. #535C2×D11semidirect
652. C2×#127C2×D11semidirect
653. C2×#127C2×D11semidirect
663. C2×#124C2×D11semidirect
664. C2×#124C2×D11semidirect
691. C2×#121C2×D11semidirect
692. C2×#121C2×D11semidirect
713. C2×#120C2×D11semidirect
714. C2×#120C2×D11semidirect
722. C2×#117C2×D11semidirect
796. C2×#41C22×D11semidirect
798. C22×Q8C22×D11semidirect
834. C22×D4C22×D11semidirect
835. C22×D4C22×D11semidirect
836. C22×D4C22×D11semidirect
837. C22×D4C22×D11semidirect
847. C23×C4C22×D11semidirect
849. #127C22×D11semidirect
850. #127C22×D11semidirect
860. #124C22×D11semidirect
861. #124C22×D11semidirect
888. #121C22×D11semidirect
889. #121C22×D11semidirect
908. #120C22×D11semidirect
909. #120C22×D11semidirect
917. #117C22×D11semidirect
926. C2×C4⋊C4C22×D11semidirect
961. C2×C22⋊C4C22×D11semidirect
962. C2×C22⋊C4C22×D11semidirect
965. C2×C42C22×D11semidirect
966. C2×C42C22×D11semidirect
973. C2×C11#3532semidirect
1023. C2×Q8C23×D11semidirect
1078. C2×D4C23×D11semidirect
1079. C2×D4C23×D11semidirect
1080. C2×D4C23×D11semidirect
1110. C22×C4C23×D11semidirect
1119. C4⋊C4C23×D11semidirect
1147. C22⋊C4C23×D11semidirect
1148. C22⋊C4C23×D11semidirect
1151. C42C23×D11semidirect
1152. C42C23×D11semidirect
1153. C11C2×#3532semidirect
1332. C2#13082770direct (N × H)

Maximal subgroups

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

subgroupindex
#130827702
C2×#106232142
C2×#106231512
C2×#106232512
C2×#106232102
C2×#106230582
C2×#106231412
C2×#106233602
C2×#106231222
C2×#106232482
C2×#106231212
C2×#106231242
C2×#106232092
C2×#106231442
C2×#106232462
C2×#106233352
C2×#106231362
C22×#669902
C2×D11×#1202
C2×C11×#5352
C2×#353211