Finite Group Databasebeta

← #14914726

Subgroups — #14914726

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623052C211yesmaximal, characteristic
2#13071557C211yesmaximal, characteristic, complemented
3#13071555C211yesmaximal, characteristic, complemented
4#13071555C211yesmaximal, characteristic, complemented
5#13071549C211yesmaximal, characteristic, complemented
6#13071548C211yesmaximal, characteristic, complemented
7#13071542C211yesmaximal, characteristic, complemented
8#13071540C211yesmaximal, characteristic, complemented
9#13071540C211yesmaximal, characteristic, complemented
10#13071478C211yesmaximal, characteristic, complemented
11#13071476C211yesmaximal, characteristic, complemented
12#13071472C211yesmaximal, characteristic, complemented
13#13071463C211yesmaximal, characteristic, complemented
14#13071463C211yesmaximal, characteristic, complemented
15#13071459C211yesmaximal, characteristic, complemented
16#13071459C211yesmaximal, characteristic, complemented
17#13071252C211yesmaximal, characteristic, complemented
18#13071248C211yesmaximal, characteristic, complemented
19#13071248C211yesmaximal, characteristic, complemented
20#13071247C211yesmaximal, characteristic, complemented
21#13071227C211yesmaximal, characteristic, complemented
22#13071193C211yesmaximal, characteristic
23#13071060C211yesmaximal, characteristic, complemented
24#13071057C211yesmaximal, characteristic, complemented
25#13071054C211yesmaximal, characteristic, complemented
26#13071054C211yesmaximal, characteristic, complemented
27C2×#10622278C211yesmaximal, characteristic
28D11×#385C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2343C211yesmaximal, characteristic, complemented
32C23×D44C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C2×#66979C2211yescharacteristic
39#10623052C4116yescomplemented
40C2×#66946C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66945C2211yescharacteristic, complemented
45C2×#66945C2211yescharacteristic, complemented
46C2×C4⋊C4×D11C2211yescharacteristic, complemented
47C2×C4⋊C4×D11C2211yescharacteristic, complemented
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C4×D44C2211yescharacteristic
55C2×C4×D44C2211yescharacteristic
56C2×C4×D44C2211yescharacteristic
57C2×C4×D44C2211yescharacteristic
58C2×#66925C2211yescharacteristic, complemented
59C2×#66925C2211yescharacteristic, complemented
60C2×C42×D11C2211yescharacteristic, complemented
61C2×C42×D11C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C11×#383C2211yescharacteristic, complemented
69C11×#382C2211yescharacteristic, complemented
70C11×#381C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74C11×#376C2211yescharacteristic, complemented
75C2×C11×#95C2211yescharacteristic
76#10622824C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82#10622603C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622602C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622600C2211yescharacteristic, complemented
91#10622600C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622568C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622563C2211yescharacteristic
101#10622563C2211yescharacteristic
102#10622559C2211yescharacteristic
103#10622559C2211yescharacteristic
104C22⋊C4×Dic11C2211yescharacteristic
105C22⋊C4×Dic11C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108#10622553C2211yescharacteristic, complemented
109#10622553C2211yescharacteristic, complemented
110#10622553C2211yescharacteristic, complemented
111#10622553C2211yescharacteristic, complemented
112C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
113C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
114C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
115C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
116C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
117C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
118C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
119C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
120#10622550C2211yescharacteristic, complemented
121#10622549C2211yescharacteristic, complemented
122C4×C4⋊Dic11C2211yescharacteristic, complemented
123#10622545C2211yescharacteristic, complemented
124#10622283C2211yescharacteristic, complemented
125#10622283C2211yescharacteristic, complemented
126#10622283C2211yescharacteristic, complemented
127#10622283C2211yescharacteristic, complemented
128#10622282C2211yescharacteristic, complemented
129#10622282C2211yescharacteristic, complemented
130#10622282C2211yescharacteristic, complemented
131#10622282C2211yescharacteristic, complemented
132#10622281C2211yescharacteristic, complemented
133#10622281C2211yescharacteristic, complemented
134#10622281C2211yescharacteristic, complemented
135#10622281C2211yescharacteristic, complemented
136#10622280C2211yescharacteristic, complemented
137#10622280C2211yescharacteristic, complemented
138#10622280C2211yescharacteristic, complemented
139#10622280C2211yescharacteristic, complemented
140#10622279C2211yescharacteristic, complemented
141#10622279C2211yescharacteristic, complemented
142#10622279C2211yescharacteristic, complemented
143#10622279C2211yescharacteristic, complemented
144#10622279C2211yescharacteristic, complemented
145#10622279C2211yescharacteristic, complemented
146#10622279C2211yescharacteristic, complemented
147#10622279C2211yescharacteristic, complemented
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic, complemented
165#10622277C2211yescharacteristic, complemented
166#10622277C2211yescharacteristic, complemented
167#10622277C2211yescharacteristic, complemented
168D11×#95C2211yescharacteristic, complemented
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×D44—24no—
196C22×D44—24no—
197C22×D44C2×C418yes—
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C11×#117C2×C418yescomplemented
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×(C2×D11)⋊C4—24no—
243C2×(C2×D11)⋊C4—42no—
244C2×(C2×D11)⋊C4—42no—
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
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
277#66979C2×C418yescomplemented
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306#66946C2×C418yescomplemented
307#66946C2×C418yescomplemented
308#66946C2×C418yescomplemented
309#66946C2×C418yescomplemented
310#66945—42no—
311#66945—42no—
312C4⋊C4×D11—42no—
313C4⋊C4×D11—42no—
314C22⋊C4×D11—24no—
315C22⋊C4×D11—24no—
316C22⋊C4×D11C2×C418yes—
317C22⋊C4×D11C2×C418yes—
318C22⋊C4×D11C2×C418yescomplemented
319C22⋊C4×D11C2×C418yescomplemented
320C4×D44C2×C418yescomplemented
321C4×D44C2×C418yescomplemented
322C4×D44C2×C418yescomplemented
323C4×D44C2×C418yescomplemented
324#66925—42no—
325#66925—42no—
326C42×D11—42no—
327C42×D11—42no—
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
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
376#34251—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11C22×C414yes—
389C23×D11C22×C414yes—
390C23×D11#4114yes—
391C23×D11#4114yes—
392C23×D11C2411yescharacteristic
393C23×D11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11C22×C414yes—
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C2×D44—232no—
438C2×D44—22no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44C22×C414yes—
447C2×D44C22×C414yes—
448C2×D44C22×C414yes—
449C2×D44C22×C414yes—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
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—416no—
491C2×C4×D11C22×C414yes—
492C2×C4×D11C22×C414yes—
493C2×C4×D11C22×C414yes—
494C2×C4×D11C22×C414yes—
495C2×C4×D11C22×C414yescomplemented
496C2×C4×D11C22×C414yescomplemented
497C2×C4×D11C22×C414yescomplemented
498C2×C4×D11C22×C414yescomplemented
499C11×C4⋊C4—22no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4C22×C414yescomplemented
504C11×C4⋊C4C22×C414yescomplemented
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4C22×C414yes—
508C11×C22⋊C4C22×C414yes—
509C42×C11—22no—
510C42×C11—41no—
511C42×C11—41no—
512C42×C11—41no—
513C42×C11C22×C414yescomplemented
514C42×C11C22×C414yescomplemented
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11C22×C414yes—
518C22⋊Dic11C22×C414yes—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545(C2×D11)⋊C4C22×C414yes—
546(C2×D11)⋊C4C22×C414yes—
547(C2×D11)⋊C4C22×C414yescomplemented
548(C2×D11)⋊C4C22×C414yescomplemented
549(C2×D11)⋊C4C22×C414yescomplemented
550(C2×D11)⋊C4C22×C414yescomplemented
551C4⋊Dic11—22no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11C22×C414yescomplemented
556C4⋊Dic11C22×C414yescomplemented
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11C22×C414yescomplemented
578C4×Dic11C22×C414yescomplemented
579C2×#518—111no—
580#2353—111no—
581#2353—111no—
582#2353—111no—
583#2353—111no—
584#2352—111no—
585#2352—111no—
586#2352—111no—
587#2352—111no—
588#2343—111no—
589#2343—111no—
590#2343—111no—
591#2343D1111yescharacteristic, complemented
592#2342—111no—
593#2342—111no—
594#2342—111no—
595#2342—111no—
596#2318—111no—
597#2318—111no—
598#2318—111no—
599#2318—111no—
600#2315—111no—
601#2308—111no—
602#2290—111no—
603#2290—111no—
604#2290—111no—
605#2290—111no—
606C2×#386—111no—
607C2×#385—111no—
608#2273—111no—
609C2×C4×C22⋊C4—111no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11C23×C412yes—
615C23×C11C2×#4112yes—
616C23×C11C2×#4112yes—
617C23×C11C2511yescharacteristic
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—44no—
640C22×D11—44no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—82no—
648C22×D11—82no—
649C22×D11—82no—
650C22×D11—82no—
651C22×D11#117116yescomplemented
652C22×D11C23×C412yes—
653C22×D11C23×C412yes—
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C2×C4×C11—28no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—44no—
697C2×C4×C11—82no—
698C2×C4×C11C23×C412yes—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11C23×C412yes—
704C2×C4×C11H(5,𝔽2)12yes—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11C23×C412yes—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11H(5,𝔽2)12yes—
743D44—28no—
744D44—28no—
745D44—28no—
746D44—28no—
747C4×D11—28no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760C4×D11—44no—
761C4×D11—82no—
762C4×D11—82no—
763C23×D4—111no—
764C24×C4—111no—
765#518—1116no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C2×#117—111no—
779C2×#117C2×D1111yescharacteristic
780C22×C4⋊C4—111no—
781C22×C4⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4—111no—
788C22×C22⋊C4—111no—
789C22×C22⋊C4—111no—
790C22×C22⋊C4—111no—
791C22×C42—111no—
792C22×C42—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387C2×D1111yescharacteristic, complemented
822#387C2×D1111yescharacteristic, complemented
823#387C2×D1111yescharacteristic, complemented
824#387C2×D1111yescharacteristic, complemented
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385C2×D1111yescharacteristic
856#385C2×D1111yescharacteristic
857#383—111no—
858#383—111no—
859#383—111no—
860#383C2×D1111yescharacteristic, complemented
861#382—111no—
862#382—111no—
863#382—111no—
864#382C2×D1111yescharacteristic, complemented
865#381—111no—
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381C2×D1111yescharacteristic
871#380—111no—
872#380—111no—
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#379—111no—
880#379—111no—
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4C2×D1111yescharacteristic, complemented
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4C2×D1111yescharacteristic
908C4×C22⋊C4C2×D1111yescharacteristic
909#376—111no—
910#376—111no—
911#376—111no—
912#376C2×D1111yescharacteristic, complemented
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C2×#95—111no—
917C2×#95—111no—
918C2×#95C2×D1111yescharacteristic
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11C2×#11714yes—
926C22×C11C24×C411yescharacteristic
927C22×C11C22×#4111yescharacteristic
928C22×C11C22×#4111yescharacteristic
929C22×C11C2×H(5,𝔽2)11yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11#58511yescharacteristic
932C22×C11#58511yescharacteristic
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—416no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—88no—
961C2×D11C2×#11714yes—
962C2×D11C2×#11714yes—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989C25—111no—
990C25—111no—
991C22×D4—118no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—224no—
997C22×D4—224no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—224no—
1017C23×C4—442no—
1018C23×C4—442no—
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C23×C4C22×D1111yescharacteristic
1022C4×D4—118no—
1023C4×D4—118no—
1024C4×D4—118no—
1025C4×D4—118no—
1026C4×D4—118no—
1027C4×D4—118no—
1028C4×D4—118no—
1029C4×D4—118no—
1030#117—118no—
1031#117—442no—
1032#117—442no—
1033#117—442no—
1034#117—442no—
1035#117C4×D1118yescomplemented
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—442no—
1051C2×C4⋊C4—442no—
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—118no—
1069C2×C22⋊C4—118no—
1070C2×C22⋊C4—118no—
1071C2×C22⋊C4—118no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—224no—
1099C2×C22⋊C4—224no—
1100C2×C22⋊C4—224no—
1101C2×C22⋊C4—442no—
1102C2×C22⋊C4—442no—
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—442no—
1122C2×C42—442no—
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177C2×C11—24no—
1178C2×C11C22×#11711yescharacteristic
1179C2×C11C4×H(5,𝔽2)11yescharacteristic
1180C2×C11C4×H(5,𝔽2)11yescharacteristic
1181C2×C11#349011yescharacteristic
1182C2×C11#349111yescharacteristic
1183C2×C11#350511yescharacteristic
1184C2×C11#350511yescharacteristic
1185D11—24no—
1186D11—24no—
1187D11—42no—
1188D11—42no—
1189C24—111no—
1190C24—111no—
1191C24—114no—
1192C24—114no—
1193C24—114no—
1194C24—111no—
1195C24—111no—
1196C24—114no—
1197C24—222no—
1198C24—222no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24—441no—
1207C24C23×D1111yescharacteristic
1208C2×D4—114no—
1209C2×D4—114no—
1210C2×D4—114no—
1211C2×D4—114no—
1212C2×D4—2232no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—4416no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4C2×C4×D1114yes—
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C22×C4C23×D1111yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—114no—
1316C4⋊C4—114no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4C2×C4×D1114yescomplemented
1330C4⋊C4C2×C4×D1114yescomplemented
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—114no—
1334C22⋊C4—114no—
1335C22⋊C4—114no—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4C2×C4×D1114yes—
1370C22⋊C4C2×C4×D1114yes—
1371C42—22no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—114no—
1376C42—114no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42C2×C4×D1114yescomplemented
1390C42C2×C4×D1114yescomplemented
1391C11#3425111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—112no—
1397C23—112no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—112no—
1402C23—1116no—
1403C23—112no—
1404C23—112no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—228no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—444no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23—882no—
1438C23C22×C4×D1112yes—
1439C23#41×D1112yes—
1440C23#41×D1112yes—
1441C23C24×D1111yescharacteristic
1442D4—228no—
1443D4—228no—
1444D4—228no—
1445D4—228no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—82no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—228no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—882no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4C22×C4×D1112yes—
1539C2×C4C22×C4×D1112yes—
1540C2×C4C22×C4×D1112yes—
1541C2×C4C22×C4×D1112yes—
1542C2×C4C22×C4×D1112yes—
1543C2×C4C22×C4×D1112yes—
1544C2×C4#6704212yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—114no—
1552C22—114no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—4416no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—888no—
1581C22D11×#11714yes—
1582C22C23×C4×D1111yescharacteristic
1583C22C2×#41×D1111yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22C2×#6704211yescharacteristic
1586C22#1062345311yescharacteristic
1587C22D11×H(5,𝔽2)11yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—222no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—24no—
1616C2—224no—
1617C2—224no—
1618C2—442no—
1619C2—442no—
1620C2C2×D11×#11711yescharacteristic
1621C2#1308182211yescharacteristic
1622C2C4×#6704211yescharacteristic
1623C2#1308230011yescharacteristic
1624C2#1308231111yescharacteristic
1625C2#1308244711yescharacteristic
1626C2#1308245611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2343C2
socle, cosocleC23×C11C25
prime radicalC23×D44C22
hypercenter#2343D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #13071557C2semidirect
3. #13071555C2semidirect
4. #13071555C2semidirect
5. #13071549C2semidirect
6. #13071548C2semidirect
7. #13071542C2semidirect
8. #13071540C2semidirect
9. #13071540C2semidirect
10. #13071478C2semidirect
11. #13071476C2semidirect
12. #13071472C2semidirect
13. #13071463C2semidirect
14. #13071463C2semidirect
15. #13071459C2semidirect
16. #13071459C2semidirect
17. #13071252C2semidirect
18. #13071248C2semidirect
19. #13071248C2semidirect
20. #13071247C2semidirect
21. #13071227C2semidirect
23. #13071060C2semidirect
24. #13071057C2semidirect
25. #13071054C2semidirect
26. #13071054C2semidirect
28. D11×#385C2semidirect
29. #13070968C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2343C2semidirect
39. #10623052C4semidirect
44. C2×#66945C22semidirect
45. C2×#66945C22semidirect
46. C2×C4⋊C4×D11C22semidirect
47. C2×C4⋊C4×D11C22semidirect
58. C2×#66925C22semidirect
59. C2×#66925C22semidirect
60. C2×C42×D11C22semidirect
61. C2×C42×D11C22semidirect
62. C11×#387C22semidirect
63. C11×#387C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C11×#383C22semidirect
69. C11×#382C22semidirect
71. C4×C11×C4⋊C4C22semidirect
74. C11×#376C22semidirect
82. #10622603C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622602C22semidirect
89. #10622602C22semidirect
90. #10622600C22semidirect
91. #10622600C22semidirect
92. #10622600C22semidirect
93. #10622600C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
108. #10622553C22semidirect
109. #10622553C22semidirect
110. #10622553C22semidirect
111. #10622553C22semidirect
112. C4×(C2×D11)⋊C4C22semidirect
113. C4×(C2×D11)⋊C4C22semidirect
114. C4×(C2×D11)⋊C4C22semidirect
115. C4×(C2×D11)⋊C4C22semidirect
116. C4×(C2×D11)⋊C4C22semidirect
117. C4×(C2×D11)⋊C4C22semidirect
118. C4×(C2×D11)⋊C4C22semidirect
119. C4×(C2×D11)⋊C4C22semidirect
120. #10622550C22semidirect
121. #10622549C22semidirect
122. C4×C4⋊Dic11C22semidirect
123. #10622545C22semidirect
124. #10622283C22semidirect
125. #10622283C22semidirect
126. #10622283C22semidirect
127. #10622283C22semidirect
128. #10622282C22semidirect
129. #10622282C22semidirect
130. #10622282C22semidirect
131. #10622282C22semidirect
132. #10622281C22semidirect
133. #10622281C22semidirect
134. #10622281C22semidirect
135. #10622281C22semidirect
136. #10622280C22semidirect
137. #10622280C22semidirect
138. #10622280C22semidirect
139. #10622280C22semidirect
140. #10622279C22semidirect
141. #10622279C22semidirect
142. #10622279C22semidirect
143. #10622279C22semidirect
144. #10622279C22semidirect
145. #10622279C22semidirect
146. #10622279C22semidirect
147. #10622279C22semidirect
164. #10622277C22semidirect
165. #10622277C22semidirect
166. #10622277C22semidirect
167. #10622277C22semidirect
168. D11×#95C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. D11×#95C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622261C22semidirect
221. C11×#117C2×C4semidirect
277. #66979C2×C4semidirect
306. #66946C2×C4semidirect
307. #66946C2×C4semidirect
308. #66946C2×C4semidirect
309. #66946C2×C4semidirect
318. C22⋊C4×D11C2×C4semidirect
319. C22⋊C4×D11C2×C4semidirect
320. C4×D44C2×C4semidirect
321. C4×D44C2×C4semidirect
322. C4×D44C2×C4semidirect
323. C4×D44C2×C4semidirect
495. C2×C4×D11C22×C4semidirect
496. C2×C4×D11C22×C4semidirect
497. C2×C4×D11C22×C4semidirect
498. C2×C4×D11C22×C4semidirect
503. C11×C4⋊C4C22×C4semidirect
504. C11×C4⋊C4C22×C4semidirect
513. C42×C11C22×C4semidirect
514. C42×C11C22×C4semidirect
547. (C2×D11)⋊C4C22×C4semidirect
548. (C2×D11)⋊C4C22×C4semidirect
549. (C2×D11)⋊C4C22×C4semidirect
550. (C2×D11)⋊C4C22×C4semidirect
555. C4⋊Dic11C22×C4semidirect
556. C4⋊Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
578. C4×Dic11C22×C4semidirect
591. #2343D11semidirect
651. C22×D11#117semidirect
821. #387C2×D11semidirect
822. #387C2×D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
860. #383C2×D11semidirect
864. #382C2×D11semidirect
884. C4×C4⋊C4C2×D11semidirect
912. #376C2×D11semidirect
1035. #117C4×D11semidirect
1329. C4⋊C4C2×C4×D11semidirect
1330. C4⋊C4C2×C4×D11semidirect
1389. C42C2×C4×D11semidirect
1390. C42C2×C4×D11semidirect
1391. C11#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#106230522
#130715572
#130715552
#130715492
#130715482
#130715422
#130715402
#130714782
#130714762
#130714722
#130714632
#130714592
#130712522
#130712482
#130712472
#130712272
#130711932
#130710602
#130710572
#130710542
C2×#106222782
D11×#3852
#130709682
C4×C22⋊C4×D112
C11×#23432
#3425111