Finite Group Databasebeta

← #14918321

Subgroups — #14918321

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623161C211yesmaximal, characteristic
2#13071788C211yesmaximal, characteristic, complemented
3#13071771C211yesmaximal, characteristic, complemented
4#13071771C211yesmaximal, characteristic, complemented
5#13071763C211yesmaximal, characteristic, complemented
6#13071634C211yesmaximal, characteristic, complemented
7#13071613C211yesmaximal, characteristic, complemented
8#13071592C211yesmaximal, characteristic, complemented
9#13071592C211yesmaximal, characteristic, complemented
10#13071540C211yesmaximal, characteristic, complemented
11#13071523C211yesmaximal, characteristic, complemented
12#13071459C211yesmaximal, characteristic, complemented
13#13071459C211yesmaximal, characteristic, complemented
14#13071445C211yesmaximal, characteristic, complemented
15C22⋊C4×D44C211yesmaximal, characteristic, complemented
16#13071428C211yesmaximal, characteristic, complemented
17#13071400C211yesmaximal, characteristic, complemented
18#13071351C211yesmaximal, characteristic, complemented
19#13071315C211yesmaximal, characteristic, complemented
20#13071315C211yesmaximal, characteristic, complemented
21#13071310C211yesmaximal, characteristic, complemented
22#13071289C211yesmaximal, characteristic, complemented
23#13071276C211yesmaximal, characteristic, complemented
24#13071248C211yesmaximal, characteristic, complemented
25#13071243C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071207C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29C2×#10622278C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2368C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C23×D44C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#67000C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43#10623161C4116yescomplemented
44C2×#66948C2211yescharacteristic
45C2×#66948C2211yescharacteristic
46C2×#66948C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic, complemented
51C2×#66946C2211yescharacteristic, complemented
52C2×C4⋊C4×D11C2211yescharacteristic, complemented
53C2×C4⋊C4×D11C2211yescharacteristic, complemented
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic, complemented
63C2×C4×D44C2211yescharacteristic, complemented
64C2×#66925C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C11×#391C2211yescharacteristic, complemented
67C11×#391C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C4⋊C4C2211yescharacteristic, complemented
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic
79C2×C11×#95C2211yescharacteristic
80#10622843C2211yescharacteristic, complemented
81#10622843C2211yescharacteristic, complemented
82#10622825C2211yescharacteristic
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic
85C2×C11⋊#95C2211yescharacteristic
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622601C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96#10622600C2211yescharacteristic, complemented
97#10622600C2211yescharacteristic, complemented
98#10622598C2211yescharacteristic, complemented
99#10622598C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622559C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113C22⋊C4×Dic11C2211yescharacteristic
114#10622553C2211yescharacteristic, complemented
115#10622553C2211yescharacteristic, complemented
116#10622553C2211yescharacteristic, complemented
117#10622553C2211yescharacteristic, complemented
118#10622553C2211yescharacteristic, complemented
119#10622553C2211yescharacteristic, complemented
120#10622553C2211yescharacteristic, complemented
121#10622553C2211yescharacteristic, complemented
122#10622552C2211yescharacteristic
123#10622552C2211yescharacteristic
124#10622552C2211yescharacteristic, complemented
125#10622552C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
130#10622546C2211yescharacteristic, complemented
131#10622546C2211yescharacteristic, complemented
132#10622283C2211yescharacteristic, complemented
133#10622283C2211yescharacteristic, complemented
134#10622282C2211yescharacteristic, complemented
135#10622282C2211yescharacteristic, complemented
136#10622282C2211yescharacteristic, complemented
137#10622282C2211yescharacteristic, complemented
138#10622282C2211yescharacteristic, complemented
139#10622282C2211yescharacteristic, complemented
140#10622281C2211yescharacteristic, complemented
141#10622281C2211yescharacteristic, complemented
142#10622281C2211yescharacteristic, complemented
143#10622281C2211yescharacteristic, complemented
144#10622281C2211yescharacteristic, complemented
145#10622281C2211yescharacteristic, complemented
146#10622281C2211yescharacteristic, complemented
147#10622281C2211yescharacteristic, complemented
148#10622280C2211yescharacteristic, complemented
149#10622280C2211yescharacteristic, complemented
150#10622280C2211yescharacteristic, complemented
151#10622280C2211yescharacteristic, complemented
152#10622280C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic, complemented
155#10622279C2211yescharacteristic, complemented
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic, complemented
169#10622278C2211yescharacteristic, complemented
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179D11×#95C2211yescharacteristic, complemented
180D11×#95C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×#4343—42no—
198C2×#4343—42no—
199C2×#4343C2×C418yescomplemented
200C22×D44—42no—
201C22×D44—42no—
202C22×D44C2×C418yescomplemented
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C11×C22⋊Q8C2×C418yescomplemented
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250#67000C2×C418yescomplemented
251C4×C22⋊D11—42no—
252C4×C22⋊D11—42no—
253C4×C22⋊D11C2×C418yescomplemented
254C2×(C2×D11)⋊C4—42no—
255C2×(C2×D11)⋊C4—42no—
256C2×(C2×D11)⋊C4—42no—
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66948C2×C418yescomplemented
321#66948C2×C418yescomplemented
322#66948C2×C418yescomplemented
323#66947C2×C418yescomplemented
324#66947C2×C418yescomplemented
325#66946—42no—
326#66946—42no—
327#66946C2×C418yescomplemented
328C4⋊C4×D11—42no—
329C4⋊C4×D11—42no—
330#66935C2×C418yescomplemented
331#66935C2×C418yescomplemented
332C22⋊C4×D11—42no—
333C22⋊C4×D11—42no—
334C22⋊C4×D11C2×C418yescomplemented
335C22⋊C4×D11C2×C418yescomplemented
336C4×D44—42no—
337C4×D44—42no—
338C4×D44—42no—
339C4×D44—42no—
340#66925—42no—
341#66925—42no—
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34456—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C23×D11—22no—
385C23×D11—22no—
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11C22×C414yes—
397C23×D11C22×C414yes—
398C23×D11C2411yescharacteristic
399C23×D11C2411yescharacteristic
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×Q8×C11—41no—
404C2×Q8×C11—41no—
405C2×Q8×C11C22×C414yescomplemented
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11C22×C414yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11C22×C414yes—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449#4343—416no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×D44—41no—
460C2×D44—41no—
461C2×D44—41no—
462C2×D44—41no—
463C2×D44—41no—
464C2×D44—41no—
465C2×D44—41no—
466C2×D44—416no—
467C2×D44C22×C414yes—
468C2×D44C22×C414yes—
469C2×D44C22×C414yes—
470C2×D44C22×C414yes—
471C2×D44C22×C414yes—
472C2×D44C22×C414yes—
473C2×D44C22×C414yescomplemented
474C2×D44C22×C414yescomplemented
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—416no—
516C2×C4×D11C22×C414yes—
517C2×C4×D11C22×C414yes—
518C2×C4×D11C22×C414yescomplemented
519C2×C4×D11C22×C414yescomplemented
520C2×C4×D11C22×C414yescomplemented
521C11×C4⋊C4—22no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4C22×C414yescomplemented
526C11×C4⋊C4C22×C414yescomplemented
527C11×C4⋊C4C22×C414yescomplemented
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4C22×C414yes—
531C11×C22⋊C4C22×C414yes—
532C42×C11—22no—
533C42×C11—41no—
534C42×C11—41no—
535C42×C11—41no—
536C42×C11—41no—
537C42×C11—41no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11C22×C414yes—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4C22×C414yes—
572(C2×D11)⋊C4C22×C414yes—
573(C2×D11)⋊C4C22×C414yes—
574(C2×D11)⋊C4C22×C414yes—
575(C2×D11)⋊C4C22×C414yescomplemented
576(C2×D11)⋊C4C22×C414yescomplemented
577(C2×D11)⋊C4C22×C414yescomplemented
578(C2×D11)⋊C4C22×C414yescomplemented
579(C2×D11)⋊C4C22×C414yescomplemented
580C4⋊Dic11—41no—
581C4⋊Dic11—41no—
582C4⋊Dic11—41no—
583C4⋊Dic11—41no—
584C4⋊Dic11—41no—
585C4⋊Dic11—41no—
586Dic11⋊C4—22no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4C22×C414yescomplemented
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11C22×C414yescomplemented
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368D1111yescharacteristic, complemented
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#385—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11C23×C412yes—
640C23×C11H(5,𝔽2)12yes—
641C23×C112−1+412yes—
642C23×C11C2511yescharacteristic
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—28no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—28no—
673C22×D11—28no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11—44no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—82no—
682C22×D11—82no—
683C22×D11—82no—
684C22×D11—82no—
685C22×D11C23×C412yes—
686C22×D11C23×C412yes—
687C22×D11C23×C412yes—
688C22×D11C23×C412yes—
689C22×D11C23×C412yes—
690C22×D11H(5,𝔽2)12yes—
691C22×D11H(5,𝔽2)12yes—
692Q8×C11—44no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—82no—
731C2×C4×C11C23×C412yes—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C2×C4×C11C23×C412yes—
735C2×C4×C11C23×C412yes—
736C2×C4×C11C23×C412yes—
737C2×C4×C11H(5,𝔽2)12yes—
738C22⋊D11—28no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—44no—
770C2×Dic11—82no—
771C2×Dic11C23×C412yes—
772C2×Dic11C23×C412yes—
773C2×Dic11C23×C412yes—
774D44—28no—
775D44—28no—
776D44—28no—
777D44—44no—
778D44—44no—
779D44—44no—
780D44—44no—
781D44—44no—
782C4×D11—28no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—82no—
792C4×D11—82no—
793C4×D11—82no—
794C4×D11—82no—
795C4×D11—82no—
796C4×D11—82no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4—111no—
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8C2×D1111yescharacteristic
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4—111no—
830C22×C22⋊C4—111no—
831#391—111no—
832#391—111no—
833#391C2×D1111yescharacteristic, complemented
834#391C2×D1111yescharacteristic, complemented
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387C2×D1111yescharacteristic, complemented
870#387C2×D1111yescharacteristic, complemented
871#387C2×D1111yescharacteristic, complemented
872#387C2×D1111yescharacteristic, complemented
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385C2×D1111yescharacteristic
916#385C2×D1111yescharacteristic
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4C2×D1111yescharacteristic, complemented
936C4×C4⋊C4C2×D1111yescharacteristic, complemented
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4C2×D1111yescharacteristic
946C4×C22⋊C4C2×D1111yescharacteristic
947C4×C22⋊C4C2×D1111yescharacteristic
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95C2×D1111yescharacteristic
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11#52014yes—
960C22×C11C24×C411yescharacteristic
961C22×C11C2×H(5,𝔽2)11yescharacteristic
962C22×C11C2×H(5,𝔽2)11yescharacteristic
963C22×C11C2×H(5,𝔽2)11yescharacteristic
964C22×C11C2×H(5,𝔽2)11yescharacteristic
965C22×C11C2×2−1+411yescharacteristic
966C22×C11#58511yescharacteristic
967C2×D11—22no—
968C2×D11—22no—
969C2×D11—22no—
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—416no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—88no—
1003C2×D11#51814yes—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C25—111no—
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8C22×D1111yescharacteristic
1035C22×D4—111no—
1036C22×D4—118no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—442no—
1046C22×D4—442no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—442no—
1065C23×C4—442no—
1066C23×C4—442no—
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8C4×D1118yescomplemented
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120—118no—
1079C4×D4—118no—
1080C4×D4—118no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—442no—
1109C2×C4⋊C4—442no—
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—118no—
1128C2×C22⋊C4—118no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—442no—
1162C2×C22⋊C4—442no—
1163C2×C22⋊C4—442no—
1164C2×C22⋊C4—442no—
1165C2×C22⋊C4—442no—
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42C22×D1111yescharacteristic
1178C2×C42C22×D1111yescharacteristic
1179C2×C42C22×D1111yescharacteristic
1180C2×C42C22×D1111yescharacteristic
1181C2×C42C22×D1111yescharacteristic
1182C2×C42C22×D1111yescharacteristic
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11C2×#51811yescharacteristic
1225C2×C11C2×#52011yescharacteristic
1226C2×C11C4×H(5,𝔽2)11yescharacteristic
1227C2×C11#353211yescharacteristic
1228C2×C11#353411yescharacteristic
1229C2×C11#353511yescharacteristic
1230C2×C11#353611yescharacteristic
1231D11—24no—
1232D11—42no—
1233D11—42no—
1234D11—42no—
1235D11—42no—
1236C24—111no—
1237C24—111no—
1238C24—111no—
1239C24—111no—
1240C24—111no—
1241C24—114no—
1242C24—114no—
1243C24—222no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—441no—
1250C24—441no—
1251C24—441no—
1252C24—441no—
1253C24—441no—
1254C24—441no—
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—41no—
1258C2×Q8—41no—
1259C2×Q8C2×C4×D1114yescomplemented
1260C2×D4—114no—
1261C2×D4—114no—
1262C2×D4—114no—
1263C2×D4—114no—
1264C2×D4—114no—
1265C2×D4—114no—
1266C2×D4—114no—
1267C2×D4—114no—
1268C2×D4—114no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—441no—
1287C2×D4—4416no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—111no—
1297C22×C4—111no—
1298C22×C4—111no—
1299C22×C4—114no—
1300C22×C4—114no—
1301C22×C4—114no—
1302C22×C4—114no—
1303C22×C4—114no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—4416no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4C2×C4×D1114yes—
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—114no—
1379C4⋊C4—222no—
1380C4⋊C4—441no—
1381C4⋊C4—441no—
1382C4⋊C4—441no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4C2×C4×D1114yescomplemented
1396C4⋊C4C2×C4×D1114yescomplemented
1397C4⋊C4C2×C4×D1114yescomplemented
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—114no—
1401C22⋊C4—114no—
1402C22⋊C4—114no—
1403C22⋊C4—114no—
1404C22⋊C4—114no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4C2×C4×D1114yes—
1443C22⋊C4C2×C4×D1114yes—
1444C42—22no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—114no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—112no—
1463C23—112no—
1464C23—112no—
1465C23—112no—
1466C23—112no—
1467C23—112no—
1468C23—112no—
1469C23—228no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—228no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—228no—
1500C23—444no—
1501C23—444no—
1502C23—444no—
1503C23—444no—
1504C23—444no—
1505C23—444no—
1506C23—444no—
1507C23—882no—
1508C23—882no—
1509C23—882no—
1510C23—882no—
1511C23C22×C4×D1112yes—
1512C23#6704012yes—
1513C23#6704212yes—
1514C23C24×D1111yescharacteristic
1515Q8—44no—
1516D4—228no—
1517D4—228no—
1518D4—228no—
1519D4—228no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—228no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—444no—
1598C2×C4—444no—
1599C2×C4—444no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—882no—
1607C2×C4—882no—
1608C2×C4—882no—
1609C2×C4—882no—
1610C2×C4—882no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4C22×C4×D1112yes—
1614C2×C4C22×C4×D1112yes—
1615C2×C4C22×C4×D1112yes—
1616C2×C4C22×C4×D1112yes—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4#6704212yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—114no—
1627C22—222no—
1628C22—222no—
1629C22—222no—
1630C22—222no—
1631C22—222no—
1632C22—222no—
1633C22—222no—
1634C22—222no—
1635C22—222no—
1636C22—222no—
1637C22—222no—
1638C22—222no—
1639C22—222no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—4416no—
1646C22—441no—
1647C22—441no—
1648C22—441no—
1649C22—441no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22—888no—
1663C22#1062310514yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6704011yescharacteristic
1666C22C2×#6704211yescharacteristic
1667C22C2×#6704211yescharacteristic
1668C22#1062345311yescharacteristic
1669C22D11×H(5,𝔽2)11yescharacteristic
1670C22D11×H(5,𝔽2)11yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—224no—
1698C2—442no—
1699C2—442no—
1700C2—442no—
1701C2—442no—
1702C2D11×#51811yescharacteristic
1703C2C2×#1062310511yescharacteristic
1704C2C4×#6704211yescharacteristic
1705C2#1308277211yescharacteristic
1706C2#1308280911yescharacteristic
1707C2#1308282011yescharacteristic
1708C2#1308284411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC2×#10623161C2
hypercenter#2368D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071788C2semidirect
3. #13071771C2semidirect
4. #13071771C2semidirect
5. #13071763C2semidirect
6. #13071634C2semidirect
7. #13071613C2semidirect
8. #13071592C2semidirect
9. #13071592C2semidirect
10. #13071540C2semidirect
11. #13071523C2semidirect
12. #13071459C2semidirect
13. #13071459C2semidirect
14. #13071445C2semidirect
15. C22⋊C4×D44C2semidirect
16. #13071428C2semidirect
17. #13071400C2semidirect
18. #13071351C2semidirect
19. #13071315C2semidirect
20. #13071315C2semidirect
21. #13071310C2semidirect
22. #13071289C2semidirect
23. #13071276C2semidirect
24. #13071248C2semidirect
25. #13071243C2semidirect
26. #13071227C2semidirect
27. #13071207C2semidirect
28. C4×#66935C2semidirect
29. C2×#10622278C2semidirect
30. D11×#385C2semidirect
31. C11×#2368C2semidirect
43. #10623161C4semidirect
50. C2×#66946C22semidirect
51. C2×#66946C22semidirect
52. C2×C4⋊C4×D11C22semidirect
53. C2×C4⋊C4×D11C22semidirect
62. C2×C4×D44C22semidirect
63. C2×C4×D44C22semidirect
64. C2×#66925C22semidirect
65. C2×#66925C22semidirect
66. C11×#391C22semidirect
67. C11×#391C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
74. C4×C11×C4⋊C4C22semidirect
75. C4×C11×C4⋊C4C22semidirect
80. #10622843C22semidirect
81. #10622843C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622601C22semidirect
95. #10622601C22semidirect
96. #10622600C22semidirect
97. #10622600C22semidirect
98. #10622598C22semidirect
99. #10622598C22semidirect
100. #10622594C22semidirect
101. #10622594C22semidirect
102. #10622594C22semidirect
103. #10622594C22semidirect
114. #10622553C22semidirect
115. #10622553C22semidirect
116. #10622553C22semidirect
117. #10622553C22semidirect
118. #10622553C22semidirect
119. #10622553C22semidirect
120. #10622553C22semidirect
121. #10622553C22semidirect
124. #10622552C22semidirect
125. #10622552C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. C4×(C2×D11)⋊C4C22semidirect
129. C4×(C2×D11)⋊C4C22semidirect
130. #10622546C22semidirect
131. #10622546C22semidirect
132. #10622283C22semidirect
133. #10622283C22semidirect
134. #10622282C22semidirect
135. #10622282C22semidirect
136. #10622282C22semidirect
137. #10622282C22semidirect
138. #10622282C22semidirect
139. #10622282C22semidirect
140. #10622281C22semidirect
141. #10622281C22semidirect
142. #10622281C22semidirect
143. #10622281C22semidirect
144. #10622281C22semidirect
145. #10622281C22semidirect
146. #10622281C22semidirect
147. #10622281C22semidirect
148. #10622280C22semidirect
149. #10622280C22semidirect
150. #10622280C22semidirect
151. #10622280C22semidirect
152. #10622280C22semidirect
153. #10622280C22semidirect
154. #10622279C22semidirect
155. #10622279C22semidirect
168. #10622278C22semidirect
169. #10622278C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622277C22semidirect
177. #10622277C22semidirect
178. #10622277C22semidirect
179. D11×#95C22semidirect
180. D11×#95C22semidirect
181. D11×#95C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
199. C2×#4343C2×C4semidirect
202. C22×D44C2×C4semidirect
229. C11×C22⋊Q8C2×C4semidirect
250. #67000C2×C4semidirect
253. C4×C22⋊D11C2×C4semidirect
320. #66948C2×C4semidirect
321. #66948C2×C4semidirect
322. #66948C2×C4semidirect
323. #66947C2×C4semidirect
324. #66947C2×C4semidirect
327. #66946C2×C4semidirect
330. #66935C2×C4semidirect
331. #66935C2×C4semidirect
334. C22⋊C4×D11C2×C4semidirect
335. C22⋊C4×D11C2×C4semidirect
405. C2×Q8×C11C22×C4semidirect
473. C2×D44C22×C4semidirect
474. C2×D44C22×C4semidirect
518. C2×C4×D11C22×C4semidirect
519. C2×C4×D11C22×C4semidirect
520. C2×C4×D11C22×C4semidirect
525. C11×C4⋊C4C22×C4semidirect
526. C11×C4⋊C4C22×C4semidirect
527. C11×C4⋊C4C22×C4semidirect
575. (C2×D11)⋊C4C22×C4semidirect
576. (C2×D11)⋊C4C22×C4semidirect
577. (C2×D11)⋊C4C22×C4semidirect
578. (C2×D11)⋊C4C22×C4semidirect
579. (C2×D11)⋊C4C22×C4semidirect
596. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
609. #2368D11semidirect
833. #391C2×D11semidirect
834. #391C2×D11semidirect
869. #387C2×D11semidirect
870. #387C2×D11semidirect
871. #387C2×D11semidirect
872. #387C2×D11semidirect
935. C4×C4⋊C4C2×D11semidirect
936. C4×C4⋊C4C2×D11semidirect
1073. C22⋊Q8C4×D11semidirect
1259. C2×Q8C2×C4×D11semidirect
1395. C4⋊C4C2×C4×D11semidirect
1396. C4⋊C4C2×C4×D11semidirect
1397. C4⋊C4C2×C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106231612
#130717882
#130717712
#130717632
#130716342
#130716132
#130715922
#130715402
#130715232
#130714592
#130714452
C22⋊C4×D442
#130714282
#130714002
#130713512
#130713152
#130713102
#130712892
#130712762
#130712482
#130712432
#130712272
#130712072
C4×#669352
C2×#106222782
D11×#3852
C11×#23682
#3445611