Finite Group Databasebeta

← #14918348

Subgroups — #14918348

Order 2816.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623168C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071782C211yesmaximal, characteristic, complemented
4#13071763C211yesmaximal, characteristic, complemented
5#13071762C211yesmaximal, characteristic, complemented
6#13071739C211yesmaximal, characteristic, complemented
7#13071683C211yesmaximal, characteristic, complemented
8#13071617C211yesmaximal, characteristic, complemented
9#13071603C211yesmaximal, characteristic, complemented
10#13071594C211yesmaximal, characteristic
11#13071546C211yesmaximal, characteristic, complemented
12#13071517C211yesmaximal, characteristic, complemented
13#13071506C211yesmaximal, characteristic, complemented
14#13071475C211yesmaximal, characteristic, complemented
15#13071466C211yesmaximal, characteristic, complemented
16#13071464C211yesmaximal, characteristic, complemented
17#13071428C211yesmaximal, characteristic, complemented
18#13071399C211yesmaximal, characteristic, complemented
19#13071394C211yesmaximal, characteristic, complemented
20#13071385C211yesmaximal, characteristic, complemented
21#13071348C211yesmaximal, characteristic, complemented
22#13071280C211yesmaximal, characteristic, complemented
23#13071269C211yesmaximal, characteristic
24#13071258C211yesmaximal, characteristic, complemented
25#13071248C211yesmaximal, characteristic, complemented
26#13071229C211yesmaximal, characteristic, complemented
27#13071220C211yesmaximal, characteristic, complemented
28C4×#66947C211yesmaximal, characteristic, complemented
29#13071097C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2323C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic, complemented
34C2×C11×#117C2211yescharacteristic
35C2×#67000C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39#10623168C4116yescomplemented
40C2×#66951C2211yescharacteristic
41C2×#66951C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic, complemented
51C2×#66939C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C11×#391C2211yescharacteristic, complemented
61C11×#389C2211yescharacteristic, complemented
62C11×#389C2211yescharacteristic, complemented
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#380C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72#10622843C2211yescharacteristic, complemented
73#10622843C2211yescharacteristic, complemented
74#10622825C2211yescharacteristic
75#10622824C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622598C2211yescharacteristic, complemented
94#10622598C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622590C2211yescharacteristic, complemented
101#10622589C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105#10622586C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622555C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622555C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic, complemented
130#10622552C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C11×C22⋊Q8C2×C418yescomplemented
207C4×Q8×C11—42no—
208C11×#117—42no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237#67000C2×C418yescomplemented
238#66999C2×C418yescomplemented
239C4×C22⋊D11C2×C418yescomplemented
240C2×(C2×D11)⋊C4C2×C418yescomplemented
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
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#66951C2×C418yescomplemented
307#66951C2×C418yescomplemented
308#66947C2×C418yescomplemented
309#66947C2×C418yescomplemented
310#66946—42no—
311#66946—42no—
312#66946C2×C418yescomplemented
313#66945—42no—
314#66945C2×C418yescomplemented
315C4⋊C4×D11—42no—
316C4⋊C4×D11—42no—
317#66939C2×C418yescomplemented
318#66935C2×C418yes—
319C22⋊C4×D11—42no—
320C22⋊C4×D11—42no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11C2×C418yescomplemented
323#66930C2×C418yescomplemented
324C4×D44—42no—
325C42×D11—42no—
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
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
370#34458—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C22×C414yes—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×Q8×C11—41no—
383C2×Q8×C11—41no—
384C2×Q8×C11C22×C414yes—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C22×C414yes—
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11C22×C414yes—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11C22×C414yes—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44C22×C414yes—
426C2×D44C22×C414yes—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11C22×C414yes—
458C2×C4×D11C22×C414yes—
459C2×C4×D11C22×C414yes—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4C22×C414yes—
469C11×C4⋊C4C22×C414yes—
470C11×C4⋊C4C22×C414yes—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11—22no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11—41no—
482C42×C11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11C22×C414yes—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4C22×C414yes—
505(C2×D11)⋊C4C22×C414yes—
506(C2×D11)⋊C4C22×C414yes—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510(C2×D11)⋊C4C22×C414yes—
511(C2×D11)⋊C4C22×C414yes—
512(C2×D11)⋊C4C22×C414yes—
513(C2×D11)⋊C4C22×C414yes—
514(C2×D11)⋊C4C22×C414yes—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11C22×C414yes—
522C4⋊Dic11C22×C414yes—
523Dic11⋊C4—22no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4C22×C414yes—
536Dic11⋊C4C22×C414yes—
537Dic11⋊C4C22×C414yes—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11C22×C414yes—
551C4×Dic11C22×C414yes—
552C4×Dic11C22×C414yes—
553C2×#551—111no—
554#2383—111no—
555#2378—111no—
556#2376—111no—
557#2376—111no—
558#2373—111no—
559#2367—111no—
560#2360—111no—
561#2359—111no—
562#2358—111no—
563#2352—111no—
564D4×C4⋊C4—111no—
565#2347—111no—
566#2343—111no—
567#2342—111no—
568#2342—111no—
569#2337—111no—
570#2335—111no—
571#2334—111no—
572#2334—111no—
573#2329—111no—
574#2323D1111yescharacteristic, complemented
575#2322—111no—
576#2321—111no—
577#2319—111no—
578#2318—111no—
579#2315—111no—
580#2314—111no—
581C4×#123—111no—
582#2296—111no—
583C2×#388—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11C23×C412yes—
591C23×C11C2511yescharacteristic
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—28no—
609C22×D11—44no—
610C22×D11—44no—
611C22×D11—82no—
612C22×D11—82no—
613C22×D11—82no—
614C22×D11—82no—
615C22×D11C23×C412yes—
616C22×D11C23×C412yes—
617C22×D11C23×C412yes—
618C22×D11H(5,𝔽2)12yes—
619C22×D112−1+412yes—
620Q8×C11—44no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—44no—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C2×C4×C11C23×C412yes—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C11H(5,𝔽2)12yes—
664C22⋊D11—44no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—44no—
700C2×Dic11C23×C412yes—
701C2×Dic11C23×C412yes—
702C2×Dic11C23×C412yes—
703C2×Dic11C23×C412yes—
704C2×Dic11C23×C412yes—
705D44—28no—
706D44—44no—
707C4×D11—28no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—82no—
713C4×D11—82no—
714C4×D11—82no—
715C4×D11—82no—
716C4×D11—82no—
717C4×D11—82no—
718#551—1116no—
719C2×#126—111no—
720C2×#126—111no—
721C2×#124—111no—
722C2×#123—111no—
723C2×#123—111no—
724C2×#123—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8C2×D1111yescharacteristic
727C2×#120—111no—
728C2×C4×Q8C2×D1111yescharacteristic, complemented
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117C2×D1111yescharacteristic
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4—111no—
745C22×C42—111no—
746#391—111no—
747#391—111no—
748#391C2×D1111yescharacteristic, complemented
749#390—111no—
750#390—111no—
751#390—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389C2×D1111yescharacteristic, complemented
762#389C2×D1111yescharacteristic, complemented
763#389C2×D1111yescharacteristic, complemented
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388C2×D1111yescharacteristic
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387C2×D1111yescharacteristic, complemented
807#387C2×D1111yescharacteristic, complemented
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#384—111no—
833#383—111no—
834#383—111no—
835#382—111no—
836#382—111no—
837#381—111no—
838#381—111no—
839#381—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380C2×D1111yescharacteristic
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4—111no—
858C4×C4⋊C4C2×D1111yescharacteristic, complemented
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871#376—111no—
872C2×#95—111no—
873C2×#95—111no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11C24×C411yescharacteristic
882C22×C11C2×H(5,𝔽2)11yescharacteristic
883C22×C11C2×H(5,𝔽2)11yescharacteristic
884C22×C11C2×2−1+411yescharacteristic
885C22×C11#58511yescharacteristic
886C22×C11#58511yescharacteristic
887C22×C11#58511yescharacteristic
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—22no—
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—88no—
909C2×D11#52014yes—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C25—111no—
938C22×Q8C22×D1111yescharacteristic
939C22×D4—111no—
940C22×D4—111no—
941C22×D4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4C22×D1111yescharacteristic
955#126—118no—
956#126—118no—
957#124—118no—
958#123—118no—
959#123—118no—
960#123—118no—
961C22⋊Q8—118no—
962C22⋊Q8C4×D1118yescomplemented
963#120—118no—
964C4×Q8—42no—
965C4×D4—118no—
966C4×D4—118no—
967C4×D4—442no—
968C4×D4—442no—
969C4×D4—442no—
970#117—42no—
971#117—118no—
972#117—118no—
973#117—442no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—442no—
998C2×C4⋊C4—442no—
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—118no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—118no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—442no—
1045C2×C22⋊C4—442no—
1046C2×C22⋊C4—442no—
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—442no—
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119C2×C11—42no—
1120C2×C11C2×#52011yescharacteristic
1121C2×C11#342811yescharacteristic
1122C2×C11C4×H(5,𝔽2)11yescharacteristic
1123C2×C11#353311yescharacteristic
1124C2×C11#353411yescharacteristic
1125C2×C11#356111yescharacteristic
1126C2×C11#356411yescharacteristic
1127D11—24no—
1128D11—42no—
1129D11—42no—
1130C24—111no—
1131C24—111no—
1132C24—111no—
1133C24—114no—
1134C24—222no—
1135C24—222no—
1136C24—441no—
1137C24—441no—
1138C24—441no—
1139C24—441no—
1140C24C23×D1111yescharacteristic
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×Q8C2×C4×D1114yes—
1144C2×D4—114no—
1145C2×D4—114no—
1146C2×D4—114no—
1147C2×D4—222no—
1148C2×D4—222no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—114no—
1161C22×C4—114no—
1162C22×C4—114no—
1163C22×C4—114no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4C2×C4×D1114yes—
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—114no—
1230C4⋊C4—114no—
1231C4⋊C4—114no—
1232C4⋊C4—222no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4C2×C4×D1114yes—
1251C4⋊C4C2×C4×D1114yes—
1252C4⋊C4C2×C4×D1114yes—
1253C22⋊C4—22no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—114no—
1258C22⋊C4—114no—
1259C22⋊C4—114no—
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—114no—
1263C22⋊C4—114no—
1264C22⋊C4—114no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—114no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1290C22⋊C4C2×C4×D1114yes—
1291C42—22no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—114no—
1298C42—114no—
1299C42—114no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42—441no—
1312C11#3445811yescharacteristic, complemented, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—112no—
1320C23—112no—
1321C23—112no—
1322C23—112no—
1323C23—112no—
1324C23—228no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—444no—
1342C23—444no—
1343C23—882no—
1344C23—882no—
1345C23—882no—
1346C23—882no—
1347C23C22×C4×D1112yes—
1348C23C24×D1111yescharacteristic
1349Q8—44no—
1350D4—228no—
1351D4—444no—
1352D4—444no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—44no—
1389C2×C4—112no—
1390C2×C4—112no—
1391C2×C4—112no—
1392C2×C4—112no—
1393C2×C4—112no—
1394C2×C4—228no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—444no—
1430C2×C4—444no—
1431C2×C4—444no—
1432C2×C4—444no—
1433C2×C4—444no—
1434C2×C4—882no—
1435C2×C4—882no—
1436C2×C4—882no—
1437C2×C4—882no—
1438C2×C4—882no—
1439C2×C4—882no—
1440C2×C4C22×C4×D1112yes—
1441C2×C4C22×C4×D1112yes—
1442C2×C4C22×C4×D1112yes—
1443C2×C4C22×C4×D1112yes—
1444C2×C4C22×C4×D1112yes—
1445C2×C4C22×C4×D1112yes—
1446C2×C4#6703712yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—114no—
1455C22—222no—
1456C22—222no—
1457C22—222no—
1458C22—222no—
1459C22—222no—
1460C22—222no—
1461C22—222no—
1462C22—222no—
1463C22—222no—
1464C22—222no—
1465C22—222no—
1466C22—222no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—888no—
1476C22C23×C4×D1111yescharacteristic
1477C22C2×#6703711yescharacteristic
1478C22#1062345311yescharacteristic
1479C22D11×H(5,𝔽2)11yescharacteristic
1480C22D11×2−1+411yescharacteristic
1481C22#1062345711yescharacteristic
1482C22#1062345711yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—222no—
1498C4—222no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C2—42no—
1511C2—224no—
1512C2—442no—
1513C2—442no—
1514C2D11×#52011yescharacteristic
1515C2#1308181811yescharacteristic
1516C2C4×#6703711yescharacteristic
1517C2#1308277911yescharacteristic
1518C2#1308279511yescharacteristic
1519C2#1308317711yescharacteristic
1520C2#1308324311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2323C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenter#2323D11
hypocenterC11#34458
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071782C2semidirect
4. #13071763C2semidirect
5. #13071762C2semidirect
6. #13071739C2semidirect
7. #13071683C2semidirect
8. #13071617C2semidirect
9. #13071603C2semidirect
11. #13071546C2semidirect
12. #13071517C2semidirect
13. #13071506C2semidirect
14. #13071475C2semidirect
15. #13071466C2semidirect
16. #13071464C2semidirect
17. #13071428C2semidirect
18. #13071399C2semidirect
19. #13071394C2semidirect
20. #13071385C2semidirect
21. #13071348C2semidirect
22. #13071280C2semidirect
24. #13071258C2semidirect
25. #13071248C2semidirect
26. #13071229C2semidirect
27. #13071220C2semidirect
28. C4×#66947C2semidirect
29. #13071097C2semidirect
30. D11×#388C2semidirect
31. C11×#2323C2semidirect
33. C2×C4×Q8×C11C22semidirect
39. #10623168C4semidirect
50. C2×C4⋊C4×D11C22semidirect
60. C11×#391C22semidirect
61. C11×#389C22semidirect
62. C11×#389C22semidirect
63. C11×#389C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. #10622843C22semidirect
73. #10622843C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622600C22semidirect
93. #10622598C22semidirect
94. #10622598C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622594C22semidirect
99. #10622591C22semidirect
100. #10622590C22semidirect
101. #10622589C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. #10622586C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
129. #10622553C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622546C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
149. #10622283C22semidirect
152. #10622282C22semidirect
153. #10622282C22semidirect
161. #10622281C22semidirect
163. #10622280C22semidirect
171. #10622277C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
206. C11×C22⋊Q8C2×C4semidirect
237. #67000C2×C4semidirect
238. #66999C2×C4semidirect
239. C4×C22⋊D11C2×C4semidirect
240. C2×(C2×D11)⋊C4C2×C4semidirect
306. #66951C2×C4semidirect
307. #66951C2×C4semidirect
308. #66947C2×C4semidirect
309. #66947C2×C4semidirect
312. #66946C2×C4semidirect
314. #66945C2×C4semidirect
317. #66939C2×C4semidirect
322. C22⋊C4×D11C2×C4semidirect
323. #66930C2×C4semidirect
574. #2323D11semidirect
728. C2×C4×Q8C2×D11semidirect
748. #391C2×D11semidirect
761. #389C2×D11semidirect
762. #389C2×D11semidirect
763. #389C2×D11semidirect
806. #387C2×D11semidirect
807. #387C2×D11semidirect
858. C4×C4⋊C4C2×D11semidirect
962. C22⋊Q8C4×D11semidirect
1312. C11#34458semidirect

Maximal subgroups

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

subgroupindex
C2×#106231682
#130718072
#130717822
#130717632
#130717622
#130717392
#130716832
#130716172
#130716032
#130715942
#130715462
#130715172
#130715062
#130714752
#130714662
#130714642
#130714282
#130713992
#130713942
#130713852
#130713482
#130712802
#130712692
#130712582
#130712482
#130712292
#130712202
C4×#669472
#130710972
D11×#3882
C11×#23232
#3445811