Finite Group Databasebeta

← #14960697

Subgroups — #14960697

Order 2816.

4170 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623184C211yesmaximal, characteristic, complemented
2C22×#66935C211yesmaximal, characteristic, complemented
3#13076894C211yesmaximal, characteristic, complemented
4#13076892C211yesmaximal, characteristic, complemented
5#13075176C212yesmaximal, complemented
6#13075174C212yesmaximal, complemented
7#13074951C212yesmaximal, complemented
8#13074949C212yesmaximal, complemented
9#13074947C212yesmaximal, complemented
10#13074946C212yesmaximal, complemented
11#13074939C212yesmaximal, complemented
12#13074938C212yesmaximal, complemented
13#13074394C211yesmaximal, characteristic, complemented
14#13074393C211yesmaximal, characteristic, complemented
15#13072002C211yesmaximal, characteristic, complemented
16#13072001C211yesmaximal, characteristic, complemented
17#13071995C211yesmaximal, characteristic, complemented
18#13071945C211yesmaximal, characteristic, complemented
19#13071941C211yesmaximal, characteristic, complemented
20#13071928C211yesmaximal, characteristic, complemented
21#13071927C211yesmaximal, characteristic, complemented
22#13071196C211yesmaximal, characteristic, complemented
23C11×#2411C211yesmaximal, characteristic, complemented
24C25×D11C2211yescharacteristic, complemented
25C23×C22⋊D11C2211yescharacteristic
26C22×D4×D11C2211yescharacteristic, complemented
27C23×D44C2211yescharacteristic
28C23×D44C2211yescharacteristic
29C2×C11×#123C2211yescharacteristic, complemented
30C2×C11×#120C2211yescharacteristic
31C2×C11×#117C2211yescharacteristic, complemented
32C22×C11×C22⋊C4C2211yescharacteristic, complemented
33C2×#67006C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66990C2212yescomplemented
37C2×#66990C2212yescomplemented
38C2×#66990C2212yescomplemented
39C2×#66982C2211yescharacteristic, complemented
40C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
41C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
42C2×#66979C2211yescharacteristic, complemented
43#10623184—28no—
44C2×#66948C2211yescharacteristic, complemented
45C2×#66948C2211yescharacteristic, complemented
46C2×#66947C2211yescharacteristic, complemented
47C2×#66947C2211yescharacteristic, complemented
48C2×#66947C2212yescomplemented
49C2×#66937C2211yescharacteristic, complemented
50C2×#66937C2211yescharacteristic, complemented
51C2×#66936C2212yescomplemented
52C2×#66935—28no—
53C2×#66935C2212yes—
54C2×#66935C2212yes—
55C2×#66935C2211yescharacteristic
56C2×#66935C2211yescharacteristic
57C2×#66935C2212yescomplemented
58C2×#66935C2212yescomplemented
59C2×#66935C2211yescharacteristic, complemented
60C2×#66935C2211yescharacteristic, complemented
61C2×#66935C2212yescomplemented
62C2×#66935C2212yescomplemented
63C2×#66935C2212yescomplemented
64C2×C22⋊C4×D11C2211yescharacteristic, complemented
65C11×#396C2212yescomplemented
66C11×#394C2212yescomplemented
67C11×#390C2212yescomplemented
68C11×#388C2212yescomplemented
69C11×#386C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic, complemented
71C11×#379C2211yescharacteristic, complemented
72#10622860C2211yescharacteristic, complemented
73#10622836C2212yescomplemented
74#10622833C2211yescharacteristic, complemented
75#10622826C2211yescharacteristic, complemented
76#10622823C2211yescharacteristic, complemented
77#10622607C2212yescomplemented
78#10622607C2212yescomplemented
79#10622606C2212yescomplemented
80#10622604C2212yescomplemented
81#10622604C2212yescomplemented
82#10622604C2212yescomplemented
83#10622603C2212yescomplemented
84#10622601C2212yescomplemented
85#10622601C2212yescomplemented
86#10622574C2212yescomplemented
87#10622574C2212yescomplemented
88#10622574C2212yescomplemented
89#10622574C2212yescomplemented
90#10622573C2212yescomplemented
91#10622573C2212yescomplemented
92#10622572C2212yescomplemented
93#10622572C2212yescomplemented
94#10622571C2211yescharacteristic, complemented
95#10622570C2212yescomplemented
96#10622570C2212yescomplemented
97#10622569C2212yescomplemented
98#10622569C2212yescomplemented
99#10622568C2212yescomplemented
100#10622568C2212yescomplemented
101#10622568C2211yescharacteristic, complemented
102#10622568C2211yescharacteristic, complemented
103#10622568C2211yescharacteristic, complemented
104#10622568C2211yescharacteristic, complemented
105#10622568C2212yescomplemented
106#10622568C2212yescomplemented
107#10622568C2211yescharacteristic, complemented
108#10622568C2211yescharacteristic, complemented
109#10622563C2211yescharacteristic, complemented
110#10622561C2212yescomplemented
111#10622559C2211yescharacteristic, complemented
112#10622558C2212yescomplemented
113#10622553C2212yescomplemented
114#10622552C2212yescomplemented
115#10622552C2212yescomplemented
116#10622552C2212yescomplemented
117#10622288C2212yescomplemented
118#10622288C2212yescomplemented
119#10622287C2212yescomplemented
120#10622285C2212yescomplemented
121#10622285C2212yescomplemented
122#10622284C2212yescomplemented
123#10622278C2212yescomplemented
124#10622278C2212yescomplemented
125C25×C11C2311yescharacteristic
126C24×D11—24no—
127C24×D11—44no—
128C24×D11—42no—
129C24×D11—42no—
130C24×D11—44no—
131C24×D11C2311yescharacteristic
132C24×D11C2312yes—
133C24×D11C2312yes—
134C24×D11C2311yescharacteristic
135C24×D11C2311yescharacteristic
136C24×D11C2311yescharacteristic, complemented
137C22×D4×C11C2311yescharacteristic
138C22×D4×C11C2312yes—
139C23×C4×C11C2311yescharacteristic
140C23×C4×C11C2311yescharacteristic
141C22×C22⋊D11—24no—
142C22×C22⋊D11—44no—
143C22×C22⋊D11C2311yescharacteristic
144C22×C22⋊D11C2312yes—
145C22×C22⋊D11C2312yes—
146C22×C22⋊D11C2312yes—
147C22×C22⋊D11C2311yescharacteristic
148C22×C22⋊D11C2311yescharacteristic
149C22×C22⋊D11C2312yes—
150C22×C22⋊D11C2311yescharacteristic, complemented
151C23×Dic11C2311yescharacteristic
152C2×D4×D11—24no—
153C2×D4×D11—42no—
154C2×D4×D11—42no—
155C22×D44—24no—
156C22×D44—44no—
157C22×D44—42no—
158C22×D44—42no—
159C22×D44D418yescomplemented
160C22×D44C2312yes—
161C22×D44C2312yes—
162C22×D44C2311yescharacteristic
163C22×D44C2311yescharacteristic
164C22×D44C2312yes—
165C22×D44C2311yescharacteristic
166C22×D44C2311yescharacteristic
167C22×D44C2311yescharacteristic
168C22×D44C2311yescharacteristic
169C22×D44C2311yescharacteristic, complemented
170C22×C4×D11C2311yescharacteristic, complemented
171C22×C4×D11C2311yescharacteristic, complemented
172C22×C4×D11C2311yescharacteristic, complemented
173C11×#123—24no—
174C11×#120—42no—
175C11×#117—42no—
176C2×C11×C4⋊C4C2311yescharacteristic, complemented
177C2×C11×C4⋊C4C2311yescharacteristic, complemented
178C2×C11×C4⋊C4C2312yescomplemented
179C2×C11×C4⋊C4C2312yescomplemented
180C2×C11×C22⋊C4—24no—
181C2×C11×C22⋊C4C2311yescharacteristic
182C2×C11×C22⋊C4C2312yes—
183C2×C11×C22⋊C4C2312yes—
184C2×C11×C22⋊C4C2311yescharacteristic
185C2×C11×C22⋊C4C2312yes—
186C2×C11×C22⋊C4C2311yescharacteristic
187C2×C11×C22⋊C4C2312yes—
188C2×C11×C22⋊C4C2312yes—
189C2×C11×C22⋊C4C2311yescharacteristic, complemented
190C2×C11×C22⋊C4C2311yescharacteristic, complemented
191C2×C11×C22⋊C4C2312yescomplemented
192C2×C42×C11C2312yescomplemented
193#67006—42no—
194C2×C22⋊Dic11C2311yescharacteristic
195C2×C22⋊Dic11C2312yes—
196C2×C22⋊Dic11C2311yescharacteristic
197C2×C22⋊Dic11C2311yescharacteristic
198C2×C22⋊Dic11C2312yes—
199C2×C22⋊Dic11C2312yes—
200C2×C22⋊Dic11C2312yescomplemented
201#66990—24no—
202#66990—44no—
203#66990—42no—
204#66990—44no—
205#66990—44no—
206#66982—24no—
207C2×(C2×D11)⋊C4—24no—
208C2×(C2×D11)⋊C4—24no—
209C2×(C2×D11)⋊C4C2312yes—
210C2×(C2×D11)⋊C4C2312yes—
211C2×(C2×D11)⋊C4C2312yes—
212C2×(C2×D11)⋊C4C2312yes—
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2312yes—
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2312yes—
219C2×(C2×D11)⋊C4C2312yes—
220C2×(C2×D11)⋊C4C2312yes—
221C2×(C2×D11)⋊C4C2312yes—
222C2×(C2×D11)⋊C4C2312yes—
223C2×(C2×D11)⋊C4C2312yes—
224C2×(C2×D11)⋊C4C2312yes—
225C2×(C2×D11)⋊C4C2312yes—
226C2×(C2×D11)⋊C4C2312yes—
227C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
228C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
229C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
230C2×(C2×D11)⋊C4C2311yescharacteristic, complemented
231C2×(C2×D11)⋊C4C2312yescomplemented
232C2×(C2×D11)⋊C4C2312yescomplemented
233C2×(C2×D11)⋊C4C2312yescomplemented
234C2×(C2×D11)⋊C4C2312yescomplemented
235C2×(C2×D11)⋊C4C2312yescomplemented
236C2×(C2×D11)⋊C4C2312yescomplemented
237#66979—42no—
238C2×C4⋊Dic11C2312yescomplemented
239C2×C4⋊Dic11C2312yescomplemented
240C2×Dic11⋊C4C2311yescharacteristic, complemented
241C2×Dic11⋊C4C2311yescharacteristic, complemented
242C2×Dic11⋊C4C2312yescomplemented
243C2×Dic11⋊C4C2312yescomplemented
244C2×C4×Dic11C2312yescomplemented
245#66948—24no—
246#66948—24no—
247#66947—24no—
248#66947—24no—
249#66947—44no—
250#66937—24no—
251#66937—24no—
252#66936—44no—
253#66935—24no—
254#66935—28no—
255#66935—28no—
256#66935—28no—
257#66935—28no—
258#66935—24no—
259#66935—24no—
260#66935—44no—
261#66935—42no—
262#66935—44no—
263#66935—44no—
264C22⋊C4×D11—24no—
265C11×#95C2312yescomplemented
266C11×#95C2312yescomplemented
267C11⋊#95C2312yescomplemented
268C11⋊#95C2312yescomplemented
269C11⋊#95C2312yescomplemented
270C11⋊#95C2312yescomplemented
271C11⋊#95C2312yescomplemented
272C11⋊#95C2312yescomplemented
273#36714—111nomaximal, Sylow
274C24×C11—22no—
275C24×C11—24no—
276C24×C11—22no—
277C24×C11—22no—
278C24×C11—42no—
279C24×C11C2411yescharacteristic
280C24×C11C2412yes—
281C24×C11C2411yescharacteristic
282C23×D11—22no—
283C23×D11—22no—
284C23×D11—22no—
285C23×D11—22no—
286C23×D11—22no—
287C23×D11—24no—
288C23×D11—24no—
289C23×D11—22no—
290C23×D11—24no—
291C23×D11—22no—
292C23×D11—24no—
293C23×D11—24no—
294C23×D11—24no—
295C23×D11—24no—
296C23×D11—22no—
297C23×D11—42no—
298C23×D11—42no—
299C23×D11—42no—
300C23×D11—42no—
301C23×D11—42no—
302C23×D11—42no—
303C23×D11—42no—
304C23×D11—42no—
305C23×D11—42no—
306C23×D11—42no—
307C23×D11—42no—
308C23×D11—42no—
309C23×D11—41no—
310C23×D11—41no—
311C23×D11—42no—
312C23×D11—42no—
313C23×D11—42no—
314C23×D11—416no—
315C23×D11—416no—
316C23×D11—416no—
317C23×D11—432no—
318C23×D11—432no—
319C23×D11C2×D414yes—
320C23×D11C2×D414yes—
321C23×D11C2411yescharacteristic
322C23×D11C2411yescharacteristic
323C23×D11C2411yescharacteristic
324C23×D11C2411yescharacteristic
325C23×D11C2411yescharacteristic
326C23×D11C2412yes—
327C2×D4×C11—22no—
328C2×D4×C11—22no—
329C2×D4×C11—22no—
330C2×D4×C11—24no—
331C2×D4×C11—42no—
332C2×D4×C11—42no—
333C22×C4×C11—22no—
334C22×C4×C11—22no—
335C22×C4×C11—22no—
336C22×C4×C11—42no—
337C22×C4×C11C2×D414yes—
338C22×C4×C11C2412yes—
339C22×C4×C11C2411yescharacteristic
340C22×C4×C11C2411yescharacteristic
341C22×C4×C11C2412yes—
342C22×C4×C11C2412yes—
343C22×C4×C11C2411yescharacteristic
344C22×C4×C11C2411yescharacteristic
345C22×C4×C11C2411yescharacteristic
346C2×C22⋊D11—22no—
347C2×C22⋊D11—22no—
348C2×C22⋊D11—24no—
349C2×C22⋊D11—24no—
350C2×C22⋊D11—22no—
351C2×C22⋊D11—24no—
352C2×C22⋊D11—24no—
353C2×C22⋊D11—24no—
354C2×C22⋊D11—22no—
355C2×C22⋊D11—22no—
356C2×C22⋊D11—22no—
357C2×C22⋊D11—24no—
358C2×C22⋊D11—41no—
359C2×C22⋊D11—41no—
360C2×C22⋊D11—42no—
361C2×C22⋊D11—42no—
362C2×C22⋊D11—42no—
363C2×C22⋊D11—42no—
364C2×C22⋊D11—42no—
365C2×C22⋊D11—42no—
366C2×C22⋊D11—42no—
367C2×C22⋊D11—42no—
368C2×C22⋊D11—416no—
369C22×Dic11—22no—
370C22×Dic11—42no—
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2412yes—
373C22×Dic11C2412yes—
374C22×Dic11C2412yes—
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377D4×D11—416no—
378C2×D44—24no—
379C2×D44—24no—
380C2×D44—22no—
381C2×D44—22no—
382C2×D44—22no—
383C2×D44—24no—
384C2×D44—24no—
385C2×D44—24no—
386C2×D44—416no—
387C2×D44—41no—
388C2×D44—41no—
389C2×D44—41no—
390C2×D44—41no—
391C2×D44—41no—
392C2×D44—41no—
393C2×D44—41no—
394C2×D44—41no—
395C2×D44—42no—
396C2×D44—42no—
397C2×D44—41no—
398C2×D44—41no—
399C2×D44—42no—
400C2×D44—42no—
401C2×D44—42no—
402C2×D44—42no—
403C2×D44—416no—
404C2×D44C2×D414yes—
405C2×D44C2×D414yes—
406C2×D44C2×D414yes—
407C2×D44C2×D414yes—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11—42no—
414C2×C4×D11—42no—
415C11×C4⋊C4—22no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—42no—
418C11×C4⋊C4—42no—
419C11×C22⋊C4—22no—
420C11×C22⋊C4—24no—
421C11×C22⋊C4—22no—
422C11×C22⋊C4—22no—
423C11×C22⋊C4—24no—
424C11×C22⋊C4—24no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—42no—
428C11×C22⋊C4—42no—
429C11×C22⋊C4—42no—
430C42×C11—42no—
431C22⋊Dic11—22no—
432C22⋊Dic11—24no—
433C22⋊Dic11—22no—
434C22⋊Dic11—22no—
435C22⋊Dic11—42no—
436C22⋊Dic11—42no—
437C22⋊Dic11—42no—
438(C2×D11)⋊C4—22no—
439(C2×D11)⋊C4—22no—
440(C2×D11)⋊C4—24no—
441(C2×D11)⋊C4—24no—
442(C2×D11)⋊C4—22no—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—24no—
447(C2×D11)⋊C4—24no—
448(C2×D11)⋊C4—24no—
449(C2×D11)⋊C4—24no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—42no—
453(C2×D11)⋊C4—42no—
454(C2×D11)⋊C4—42no—
455(C2×D11)⋊C4—42no—
456(C2×D11)⋊C4—42no—
457(C2×D11)⋊C4—42no—
458(C2×D11)⋊C4—42no—
459(C2×D11)⋊C4—42no—
460(C2×D11)⋊C4—42no—
461(C2×D11)⋊C4—42no—
462(C2×D11)⋊C4—42no—
463(C2×D11)⋊C4—42no—
464(C2×D11)⋊C4—42no—
465(C2×D11)⋊C4—42no—
466C4⋊Dic11—42no—
467C4⋊Dic11—42no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—42no—
471Dic11⋊C4—42no—
472C4×Dic11—42no—
473C2×#534—111no—
474C22×#120—111no—
475#2846—111no—
476#2846—111no—
477#2697—112no—
478#2697—112no—
479#2679—112no—
480#2679—112no—
481#2678—112no—
482#2678—112no—
483#2678—112no—
484#2678—112no—
485#2622—111no—
486#2622—111no—
487#2411—111no—
488#2411—111no—
489#2411—111no—
490#2411D1111yescharacteristic, complemented
491#2405—111no—
492#2405—111no—
493#2403—111no—
494#2403—111no—
495#2309—111no—
496C23×C11—22no—
497C23×C11—22no—
498C23×C11—28no—
499C23×C11—22no—
500C23×C11—22no—
501C23×C11—22no—
502C23×C11—22no—
503C23×C11—22no—
504C23×C11—22no—
505C23×C11—21no—
506C23×C11—22no—
507C23×C11—22no—
508C23×C11—21no—
509C23×C11—21no—
510C23×C11—48no—
511C23×C11—48no—
512C23×C11—44no—
513C23×C11—44no—
514C23×C11C22×D412yes—
515C23×C11H(5,𝔽2)12yes—
516C23×C11H(5,𝔽2)14yes—
517C23×C11H(5,𝔽2)12yes—
518C23×C11C2511yescharacteristic
519C22×D11—28no—
520C22×D11—28no—
521C22×D11—22no—
522C22×D11—22no—
523C22×D11—22no—
524C22×D11—22no—
525C22×D11—22no—
526C22×D11—22no—
527C22×D11—22no—
528C22×D11—22no—
529C22×D11—22no—
530C22×D11—22no—
531C22×D11—22no—
532C22×D11—22no—
533C22×D11—22no—
534C22×D11—21no—
535C22×D11—21no—
536C22×D11—21no—
537C22×D11—21no—
538C22×D11—21no—
539C22×D11—21no—
540C22×D11—21no—
541C22×D11—21no—
542C22×D11—22no—
543C22×D11—28no—
544C22×D11—21no—
545C22×D11—22no—
546C22×D11—22no—
547C22×D11—21no—
548C22×D11—21no—
549C22×D11—44no—
550C22×D11—44no—
551C22×D11—48no—
552C22×D11—48no—
553C22×D11—44no—
554C22×D11—44no—
555C22×D11—48no—
556C22×D11—48no—
557C22×D11—48no—
558C22×D11—48no—
559C22×D11—48no—
560C22×D11—48no—
561C22×D11—48no—
562C22×D11—48no—
563C22×D11—48no—
564C22×D11—48no—
565C22×D11—44no—
566C22×D11—44no—
567C22×D11—48no—
568C22×D11—48no—
569C22×D11—48no—
570C22×D11—48no—
571C22×D11—4128no—
572C22×D11—48no—
573C22×D11—48no—
574C22×D11—44no—
575C22×D11—82no—
576C22×D11—82no—
577C22×D11—84no—
578C22×D11—84no—
579C22×D11—84no—
580C22×D11—84no—
581C22×D11C22×D412yes—
582C22×D11C22×D412yes—
583C22×D11C22×D412yes—
584C22×D11C22×D412yes—
585C22×D11H(5,𝔽2)14yes—
586D4×C11—44no—
587D4×C11—84no—
588C2×C4×C11—28no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—22no—
596C2×C4×C11—21no—
597C2×C4×C11—22no—
598C2×C4×C11—22no—
599C2×C4×C11—22no—
600C2×C4×C11—22no—
601C2×C4×C11—22no—
602C2×C4×C11—22no—
603C2×C4×C11—22no—
604C2×C4×C11—21no—
605C2×C4×C11—22no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—21no—
609C2×C4×C11—44no—
610C2×C4×C11C22×D412yes—
611C2×C4×C11C22×D412yes—
612C22⋊D11—48no—
613C22⋊D11—48no—
614C22⋊D11—44no—
615C22⋊D11—44no—
616C22⋊D11—82no—
617C22⋊D11—82no—
618C22⋊D11—84no—
619C22⋊D11—84no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—22no—
624C2×Dic11—22no—
625C2×Dic11—22no—
626C2×Dic11—22no—
627C2×Dic11—22no—
628C2×Dic11—22no—
629C2×Dic11—22no—
630C2×Dic11—22no—
631C2×Dic11—22no—
632C2×Dic11—22no—
633C2×Dic11—21no—
634C2×Dic11—22no—
635C2×Dic11—21no—
636C2×Dic11—44no—
637D44—44no—
638D44—44no—
639D44—44no—
640D44—44no—
641D44—48no—
642D44—48no—
643D44—44no—
644D44—82no—
645D44—82no—
646D44—84no—
647C4×D11—44no—
648C4×D11—82no—
649C4×D11—82no—
650C26—111no—
651C23×D4—111no—
652C23×D4—111no—
653C23×D4—111no—
654C23×D4—111no—
655#534—228no—
656C2×#123—111no—
657C2×#123—111no—
658C2×#123—111no—
659C2×#123—112no—
660C2×#123—112no—
661C2×#123C2×D1111yescharacteristic, complemented
662C2×#121—111no—
663C2×#121—111no—
664C2×#121—111no—
665C2×#121—111no—
666C2×#120—111no—
667C2×#120—111no—
668C2×#120—111no—
669C2×#120—112no—
670C2×#120—112no—
671C2×#120—112no—
672C2×#120—111no—
673C2×#120—112no—
674C2×#120—112no—
675C2×#120—112no—
676C2×#120—112no—
677C2×#120—111no—
678C2×#120—112no—
679C2×#120—112no—
680C2×#120—111no—
681C2×#120—111no—
682C2×#120—112no—
683C2×#120—228no—
684C2×#120C2×D1111yescharacteristic
685C2×#117—111no—
686C2×#117C2×D1111yescharacteristic, complemented
687C22×C22⋊C4—111no—
688C22×C22⋊C4—111no—
689C22×C22⋊C4—111no—
690C22×C22⋊C4C2×D1111yescharacteristic, complemented
691#397—112no—
692#397—112no—
693#397—112no—
694#397—112no—
695#396—112no—
696#396—112no—
697#396—112no—
698#396C2×D1112yescomplemented
699#394—112no—
700#394—112no—
701#394—112no—
702#394—112no—
703#394—112no—
704#394—112no—
705#394—112no—
706#394—112no—
707#394—112no—
708#394—112no—
709#394—112no—
710#394C2×D1112yescomplemented
711#392—112no—
712#392—112no—
713#392—112no—
714#392—112no—
715#390—112no—
716#390—112no—
717#390—112no—
718#390—112no—
719#390—112no—
720#390—112no—
721#390—112no—
722#390C2×D1112yescomplemented
723#388—112no—
724#388—112no—
725#388—112no—
726#388C2×D1112yescomplemented
727#386—111no—
728#386—111no—
729#386—111no—
730#386—112no—
731#386—112no—
732#386—112no—
733#386—112no—
734#386C2×D1111yescharacteristic, complemented
735#385—111no—
736#385—111no—
737#385—111no—
738#385C2×D1111yescharacteristic, complemented
739#379—111no—
740#379—111no—
741#379—111no—
742#379—111no—
743#379—111no—
744#379—111no—
745#379—111no—
746#379—112no—
747#379—112no—
748#379—112no—
749#379—112no—
750#379C2×D1111yescharacteristic, complemented
751C22×C11—22no—
752C22×C11—22no—
753C22×C11—24no—
754C22×C11—24no—
755C22×C11—24no—
756C22×C11—24no—
757C22×C11—24no—
758C22×C11—416no—
759C22×C11—42no—
760C22×C11—42no—
761C22×C11—42no—
762C22×C11—42no—
763C22×C11—41no—
764C22×C11—41no—
765C22×C11—41no—
766C22×C11—42no—
767C22×C11—42no—
768C22×C11#53414yes—
769C22×C11C23×D411yescharacteristic
770C22×C11C2×H(5,𝔽2)11yescharacteristic
771C22×C11C2×H(5,𝔽2)11yescharacteristic
772C22×C11C2×H(5,𝔽2)12yes—
773C22×C11C2×H(5,𝔽2)12yes—
774C2×D11—22no—
775C2×D11—22no—
776C2×D11—22no—
777C2×D11—22no—
778C2×D11—24no—
779C2×D11—22no—
780C2×D11—22no—
781C2×D11—22no—
782C2×D11—22no—
783C2×D11—22no—
784C2×D11—22no—
785C2×D11—22no—
786C2×D11—22no—
787C2×D11—24no—
788C2×D11—24no—
789C2×D11—416no—
790C2×D11—416no—
791C2×D11—432no—
792C2×D11—432no—
793C2×D11—42no—
794C2×D11—42no—
795C2×D11—42no—
796C2×D11—42no—
797C2×D11—42no—
798C2×D11—42no—
799C2×D11—42no—
800C2×D11—42no—
801C2×D11—42no—
802C2×D11—42no—
803C2×D11—42no—
804C2×D11—42no—
805C2×D11—41no—
806C2×D11—41no—
807C2×D11—41no—
808C2×D11—42no—
809C2×D11—42no—
810C2×D11—88no—
811C2×D11—88no—
812C4×C11—22no—
813C4×C11—22no—
814C4×C11—41no—
815C4×C11—42no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—42no—
819C4×C11—42no—
820Dic11—41no—
821Dic11—41no—
822Dic11—41no—
823Dic11—42no—
824Dic11—42no—
825Dic11—42no—
826C25—111no—
827C25—111no—
828C25—111no—
829C25—112no—
830C25—112no—
831C25—111no—
832C25—224no—
833C25—444no—
834C25—442no—
835C25—442no—
836C25—444no—
837C25C22×D1111yescharacteristic
838C22×D4—111no—
839C22×D4—112no—
840C22×D4—112no—
841C22×D4—111no—
842C22×D4—111no—
843C22×D4—112no—
844C22×D4—112no—
845C22×D4—111no—
846C22×D4—118no—
847C22×D4—111no—
848C22×D4—111no—
849C22×D4—111no—
850C22×D4—111no—
851C22×D4—112no—
852C22×D4—112no—
853C22×D4—111no—
854C22×D4—111no—
855C22×D4—112no—
856C22×D4—111no—
857C22×D4—224no—
858C22×D4—224no—
859C22×D4—224no—
860C22×D4—442no—
861C22×D4—442no—
862C22×D4—444no—
863C22×D4—442no—
864C22×D4—442no—
865C22×D4—444no—
866C22×D4C22×D1111yescharacteristic
867C22×D4C22×D1112yes—
868C23×C4—111no—
869C23×C4—111no—
870C23×C4—111no—
871C23×C4—111no—
872C23×C4C22×D1111yescharacteristic
873C23×C4C22×D1111yescharacteristic
874#123—24no—
875#123—224no—
876#123—224no—
877#123—224no—
878#123—444no—
879#123—444no—
880#121—224no—
881#121—224no—
882#121—224no—
883#121—224no—
884#120—42no—
885#120—228no—
886#120—228no—
887#120—228no—
888#120—228no—
889#120—224no—
890#120—224no—
891#120—224no—
892#120—224no—
893#120—442no—
894#120—444no—
895#120—444no—
896#120—444no—
897#120—442no—
898#120—444no—
899#120—444no—
900#120—442no—
901#120—444no—
902#117—42no—
903#117—442no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—112no—
907C2×C4⋊C4—112no—
908C2×C4⋊C4—112no—
909C2×C4⋊C4—112no—
910C2×C4⋊C4C22×D1111yescharacteristic, complemented
911C2×C4⋊C4C22×D1111yescharacteristic, complemented
912C2×C4⋊C4C22×D1112yescomplemented
913C2×C4⋊C4C22×D1112yescomplemented
914C2×C22⋊C4—24no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—112no—
919C2×C22⋊C4—112no—
920C2×C22⋊C4—112no—
921C2×C22⋊C4—112no—
922C2×C22⋊C4—112no—
923C2×C22⋊C4—111no—
924C2×C22⋊C4—111no—
925C2×C22⋊C4—111no—
926C2×C22⋊C4—111no—
927C2×C22⋊C4—111no—
928C2×C22⋊C4—111no—
929C2×C22⋊C4—111no—
930C2×C22⋊C4—111no—
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—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—112no—
950C2×C22⋊C4—224no—
951C2×C22⋊C4—224no—
952C2×C22⋊C4—224no—
953C2×C22⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4C22×D1112yes—
955C2×C22⋊C4C22×D1112yes—
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1112yes—
959C2×C22⋊C4C22×D1112yes—
960C2×C22⋊C4C22×D1112yes—
961C2×C22⋊C4C22×D1111yescharacteristic, complemented
962C2×C22⋊C4C22×D1111yescharacteristic, complemented
963C2×C22⋊C4C22×D1112yescomplemented
964C2×C42—112no—
965C2×C42C22×D1112yescomplemented
966#95—112no—
967#95—112no—
968#95—112no—
969#95—112no—
970#95—112no—
971#95—112no—
972#95C22×D1112yescomplemented
973#95C22×D1112yescomplemented
974C2×C11—24no—
975C2×C11—44no—
976C2×C11—81no—
977C2×C11C2×#53411yescharacteristic
978C2×C11#348411yescharacteristic
979C2×C11#348411yescharacteristic
980C2×C11#353212yes—
981C2×C11#353212yes—
982D11—42no—
983D11—42no—
984D11—44no—
985D11—42no—
986D11—42no—
987D11—81no—
988C24—22no—
989C24—24no—
990C24—22no—
991C24—22no—
992C24—42no—
993C24—111no—
994C24—111no—
995C24—112no—
996C24—111no—
997C24—111no—
998C24—114no—
999C24—114no—
1000C24—111no—
1001C24—224no—
1002C24—224no—
1003C24—224no—
1004C24—224no—
1005C24—224no—
1006C24—222no—
1007C24—222no—
1008C24—222no—
1009C24—222no—
1010C24—222no—
1011C24—222no—
1012C24—222no—
1013C24—224no—
1014C24—224no—
1015C24—222no—
1016C24—442no—
1017C24—442no—
1018C24—442no—
1019C24—442no—
1020C24—442no—
1021C24—442no—
1022C24—442no—
1023C24—442no—
1024C24—442no—
1025C24—442no—
1026C24—442no—
1027C24—442no—
1028C24—442no—
1029C24—441no—
1030C24—441no—
1031C24—442no—
1032C24—442no—
1033C24—4416no—
1034C24—4416no—
1035C24—4416no—
1036C24—4432no—
1037C24—4432no—
1038C24C23×D1111yescharacteristic
1039C24C23×D1112yes—
1040C24C23×D1111yescharacteristic
1041C2×D4—22no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—24no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—114no—
1048C2×D4—114no—
1049C2×D4—114no—
1050C2×D4—114no—
1051C2×D4—224no—
1052C2×D4—224no—
1053C2×D4—224no—
1054C2×D4—222no—
1055C2×D4—224no—
1056C2×D4—222no—
1057C2×D4—222no—
1058C2×D4—224no—
1059C2×D4—224no—
1060C2×D4—224no—
1061C2×D4—222no—
1062C2×D4—222no—
1063C2×D4—222no—
1064C2×D4—224no—
1065C2×D4—222no—
1066C2×D4—224no—
1067C2×D4—222no—
1068C2×D4—222no—
1069C2×D4—224no—
1070C2×D4—224no—
1071C2×D4—4416no—
1072C2×D4—441no—
1073C2×D4—441no—
1074C2×D4—441no—
1075C2×D4—441no—
1076C2×D4—441no—
1077C2×D4—441no—
1078C2×D4—441no—
1079C2×D4—441no—
1080C2×D4—441no—
1081C2×D4—441no—
1082C2×D4—442no—
1083C2×D4—442no—
1084C2×D4—442no—
1085C2×D4—442no—
1086C2×D4—442no—
1087C2×D4—442no—
1088C2×D4—4416no—
1089C2×D4—441no—
1090C2×D4—442no—
1091C2×D4—441no—
1092C2×D4—442no—
1093C2×D4—442no—
1094C2×D4—442no—
1095C2×D4—442no—
1096C2×D4—442no—
1097C2×D4—442no—
1098C2×D4—442no—
1099C2×D4—4416no—
1100C2×D4—4416no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—42no—
1105C22×C4—112no—
1106C22×C4—111no—
1107C22×C4—112no—
1108C22×C4—112no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—441no—
1116C22×C4—441no—
1117C22×C4—442no—
1118C22×C4—442no—
1119C22×C4—442no—
1120C22×C4D4×D1114yes—
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1112yes—
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1112yes—
1125C22×C4C23×D1112yes—
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—442no—
1136C4⋊C4—442no—
1137C4⋊C4—442no—
1138C4⋊C4—442no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—24no—
1143C22⋊C4—24no—
1144C22⋊C4—24no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—224no—
1151C22⋊C4—224no—
1152C22⋊C4—222no—
1153C22⋊C4—222no—
1154C22⋊C4—222no—
1155C22⋊C4—222no—
1156C22⋊C4—222no—
1157C22⋊C4—222no—
1158C22⋊C4—224no—
1159C22⋊C4—224no—
1160C22⋊C4—222no—
1161C22⋊C4—222no—
1162C22⋊C4—222no—
1163C22⋊C4—224no—
1164C22⋊C4—224no—
1165C22⋊C4—224no—
1166C22⋊C4—222no—
1167C22⋊C4—222no—
1168C22⋊C4—442no—
1169C22⋊C4—442no—
1170C22⋊C4—442no—
1171C22⋊C4—442no—
1172C22⋊C4—442no—
1173C22⋊C4—442no—
1174C22⋊C4—442no—
1175C22⋊C4—442no—
1176C22⋊C4—442no—
1177C22⋊C4—442no—
1178C22⋊C4—442no—
1179C22⋊C4—442no—
1180C22⋊C4—442no—
1181C22⋊C4—442no—
1182C22⋊C4—442no—
1183C22⋊C4—442no—
1184C22⋊C4—442no—
1185C42—42no—
1186C42—442no—
1187C11#3671411yescharacteristic, complemented, Sylow
1188C23—22no—
1189C23—22no—
1190C23—28no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—21no—
1201C23—22no—
1202C23—48no—
1203C23—48no—
1204C23—44no—
1205C23—44no—
1206C23—112no—
1207C23—112no—
1208C23—112no—
1209C23—112no—
1210C23—114no—
1211C23—228no—
1212C23—228no—
1213C23—222no—
1214C23—222no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—222no—
1220C23—222no—
1221C23—222no—
1222C23—222no—
1223C23—222no—
1224C23—222no—
1225C23—222no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—222no—
1231C23—222no—
1232C23—222no—
1233C23—222no—
1234C23—222no—
1235C23—228no—
1236C23—221no—
1237C23—221no—
1238C23—222no—
1239C23—221no—
1240C23—222no—
1241C23—444no—
1242C23—444no—
1243C23—444no—
1244C23—444no—
1245C23—448no—
1246C23—448no—
1247C23—448no—
1248C23—448no—
1249C23—448no—
1250C23—448no—
1251C23—444no—
1252C23—448no—
1253C23—448no—
1254C23—448no—
1255C23—448no—
1256C23—448no—
1257C23—448no—
1258C23—448no—
1259C23—448no—
1260C23—448no—
1261C23—448no—
1262C23—444no—
1263C23—44128no—
1264C23—448no—
1265C23—448no—
1266C23—444no—
1267C23—884no—
1268C23—884no—
1269C23—882no—
1270C23—882no—
1271C23—884no—
1272C23—884no—
1273C23C2×D4×D1112yes—
1274C23#6703712yes—
1275C23#6704214yes—
1276C23#6704212yes—
1277C23C24×D1111yescharacteristic
1278D4—44no—
1279D4—84no—
1280D4—444no—
1281D4—444no—
1282D4—444no—
1283D4—444no—
1284D4—448no—
1285D4—448no—
1286D4—444no—
1287D4—448no—
1288D4—448no—
1289D4—444no—
1290D4—444no—
1291D4—882no—
1292D4—882no—
1293D4—884no—
1294D4—884no—
1295D4—882no—
1296D4—882no—
1297D4—884no—
1298C2×C4—28no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—22no—
1306C2×C4—21no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—44no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—222no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—222no—
1326C2×C4—222no—
1327C2×C4—222no—
1328C2×C4—222no—
1329C2×C4—222no—
1330C2×C4—221no—
1331C2×C4—222no—
1332C2×C4—222no—
1333C2×C4—222no—
1334C2×C4—222no—
1335C2×C4—222no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4—882no—
1339C2×C4—882no—
1340C2×C4C2×D4×D1112yes—
1341C2×C4C2×D4×D1112yes—
1342C22—22no—
1343C22—22no—
1344C22—24no—
1345C22—24no—
1346C22—24no—
1347C22—24no—
1348C22—24no—
1349C22—416no—
1350C22—42no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—42no—
1358C22—42no—
1359C22—222no—
1360C22—222no—
1361C22—222no—
1362C22—222no—
1363C22—222no—
1364C22—222no—
1365C22—222no—
1366C22—222no—
1367C22—222no—
1368C22—224no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—224no—
1373C22—224no—
1374C22—4416no—
1375C22—4416no—
1376C22—4432no—
1377C22—4432no—
1378C22—442no—
1379C22—442no—
1380C22—442no—
1381C22—442no—
1382C22—442no—
1383C22—442no—
1384C22—442no—
1385C22—442no—
1386C22—442no—
1387C22—442no—
1388C22—442no—
1389C22—442no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—442no—
1394C22—442no—
1395C22—888no—
1396C22—888no—
1397C22#1062313614yes—
1398C22C22×D4×D1111yescharacteristic
1399C22C2×#6703711yescharacteristic
1400C22C2×#6704211yescharacteristic
1401C22C2×#6704212yes—
1402C22D11×H(5,𝔽2)12yes—
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—42no—
1408C4—41no—
1409C4—42no—
1410C4—42no—
1411C4—441no—
1412C4—442no—
1413C4—441no—
1414C4—441no—
1415C4—442no—
1416C4—442no—
1417C2—24no—
1418C2—44no—
1419C2—81no—
1420C2—442no—
1421C2—442no—
1422C2—444no—
1423C2—442no—
1424C2—442no—
1425C2—881no—
1426C2C2×#1062313611yescharacteristic
1427C2#1308224911yescharacteristic
1428C2#1308225011yescharacteristic
1429C2#1308276512yes—
1430C2#1308277212yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2411C2
hypercenter#2411D11
hypocenterC11#36714
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. C2×#10623184C2semidirect
2. C22×#66935C2semidirect
3. #13076894C2semidirect
4. #13076892C2semidirect
5. #13075176C2semidirect
6. #13075174C2semidirect
7. #13074951C2semidirect
8. #13074949C2semidirect
9. #13074947C2semidirect
10. #13074946C2semidirect
11. #13074939C2semidirect
12. #13074938C2semidirect
13. #13074394C2semidirect
14. #13074393C2semidirect
15. #13072002C2semidirect
16. #13072001C2semidirect
17. #13071995C2semidirect
18. #13071945C2semidirect
19. #13071941C2semidirect
20. #13071928C2semidirect
21. #13071927C2semidirect
22. #13071196C2semidirect
23. C11×#2411C2semidirect
24. C25×D11C22semidirect
26. C22×D4×D11C22semidirect
29. C2×C11×#123C22semidirect
31. C2×C11×#117C22semidirect
32. C22×C11×C22⋊C4C22semidirect
36. C2×#66990C22semidirect
37. C2×#66990C22semidirect
38. C2×#66990C22semidirect
39. C2×#66982C22semidirect
40. C22×(C2×D11)⋊C4C22semidirect
41. C22×(C2×D11)⋊C4C22semidirect
42. C2×#66979C22semidirect
44. C2×#66948C22semidirect
45. C2×#66948C22semidirect
46. C2×#66947C22semidirect
47. C2×#66947C22semidirect
48. C2×#66947C22semidirect
49. C2×#66937C22semidirect
50. C2×#66937C22semidirect
51. C2×#66936C22semidirect
57. C2×#66935C22semidirect
58. C2×#66935C22semidirect
59. C2×#66935C22semidirect
60. C2×#66935C22semidirect
61. C2×#66935C22semidirect
62. C2×#66935C22semidirect
63. C2×#66935C22semidirect
64. C2×C22⋊C4×D11C22semidirect
65. C11×#396C22semidirect
66. C11×#394C22semidirect
67. C11×#390C22semidirect
68. C11×#388C22semidirect
69. C11×#386C22semidirect
70. C11×#385C22semidirect
71. C11×#379C22semidirect
72. #10622860C22semidirect
73. #10622836C22semidirect
74. #10622833C22semidirect
75. #10622826C22semidirect
76. #10622823C22semidirect
77. #10622607C22semidirect
78. #10622607C22semidirect
79. #10622606C22semidirect
80. #10622604C22semidirect
81. #10622604C22semidirect
82. #10622604C22semidirect
83. #10622603C22semidirect
84. #10622601C22semidirect
85. #10622601C22semidirect
86. #10622574C22semidirect
87. #10622574C22semidirect
88. #10622574C22semidirect
89. #10622574C22semidirect
90. #10622573C22semidirect
91. #10622573C22semidirect
92. #10622572C22semidirect
93. #10622572C22semidirect
94. #10622571C22semidirect
95. #10622570C22semidirect
96. #10622570C22semidirect
97. #10622569C22semidirect
98. #10622569C22semidirect
99. #10622568C22semidirect
100. #10622568C22semidirect
101. #10622568C22semidirect
102. #10622568C22semidirect
103. #10622568C22semidirect
104. #10622568C22semidirect
105. #10622568C22semidirect
106. #10622568C22semidirect
107. #10622568C22semidirect
108. #10622568C22semidirect
109. #10622563C22semidirect
110. #10622561C22semidirect
111. #10622559C22semidirect
112. #10622558C22semidirect
113. #10622553C22semidirect
114. #10622552C22semidirect
115. #10622552C22semidirect
116. #10622552C22semidirect
117. #10622288C22semidirect
118. #10622288C22semidirect
119. #10622287C22semidirect
120. #10622285C22semidirect
121. #10622285C22semidirect
122. #10622284C22semidirect
123. #10622278C22semidirect
124. #10622278C22semidirect
136. C24×D11C23semidirect
150. C22×C22⋊D11C23semidirect
159. C22×D44D4semidirect
169. C22×D44C23semidirect
170. C22×C4×D11C23semidirect
171. C22×C4×D11C23semidirect
172. C22×C4×D11C23semidirect
176. C2×C11×C4⋊C4C23semidirect
177. C2×C11×C4⋊C4C23semidirect
178. C2×C11×C4⋊C4C23semidirect
179. C2×C11×C4⋊C4C23semidirect
189. C2×C11×C22⋊C4C23semidirect
190. C2×C11×C22⋊C4C23semidirect
191. C2×C11×C22⋊C4C23semidirect
192. C2×C42×C11C23semidirect
200. C2×C22⋊Dic11C23semidirect
227. C2×(C2×D11)⋊C4C23semidirect
228. C2×(C2×D11)⋊C4C23semidirect
229. C2×(C2×D11)⋊C4C23semidirect
230. C2×(C2×D11)⋊C4C23semidirect
231. C2×(C2×D11)⋊C4C23semidirect
232. C2×(C2×D11)⋊C4C23semidirect
233. C2×(C2×D11)⋊C4C23semidirect
234. C2×(C2×D11)⋊C4C23semidirect
235. C2×(C2×D11)⋊C4C23semidirect
236. C2×(C2×D11)⋊C4C23semidirect
238. C2×C4⋊Dic11C23semidirect
239. C2×C4⋊Dic11C23semidirect
240. C2×Dic11⋊C4C23semidirect
241. C2×Dic11⋊C4C23semidirect
242. C2×Dic11⋊C4C23semidirect
243. C2×Dic11⋊C4C23semidirect
244. C2×C4×Dic11C23semidirect
265. C11×#95C23semidirect
266. C11×#95C23semidirect
267. C11⋊#95C23semidirect
268. C11⋊#95C23semidirect
269. C11⋊#95C23semidirect
270. C11⋊#95C23semidirect
271. C11⋊#95C23semidirect
272. C11⋊#95C23semidirect
490. #2411D11semidirect
661. C2×#123C2×D11semidirect
686. C2×#117C2×D11semidirect
690. C22×C22⋊C4C2×D11semidirect
698. #396C2×D11semidirect
710. #394C2×D11semidirect
722. #390C2×D11semidirect
726. #388C2×D11semidirect
734. #386C2×D11semidirect
738. #385C2×D11semidirect
750. #379C2×D11semidirect
910. C2×C4⋊C4C22×D11semidirect
911. C2×C4⋊C4C22×D11semidirect
912. C2×C4⋊C4C22×D11semidirect
913. C2×C4⋊C4C22×D11semidirect
961. C2×C22⋊C4C22×D11semidirect
962. C2×C22⋊C4C22×D11semidirect
963. C2×C22⋊C4C22×D11semidirect
965. C2×C42C22×D11semidirect
972. #95C22×D11semidirect
973. #95C22×D11semidirect
1187. C11#36714semidirect

Maximal subgroups

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

subgroupindex
C2×#106231842
C22×#669352
#130768942
#130768922
#130751762
#130751742
#130749512
#130749492
#130749472
#130749462
#130749392
#130749382
#130743942
#130743932
#130720022
#130720012
#130719952
#130719452
#130719412
#130719282
#130719272
#130711962
C11×#24112
#3671411