Finite Group Databasebeta

← D11×#2522 #14922957

Subgroups — D11×#2522 #14922957

Order 2816.

2270 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073341C211yesmaximal, characteristic, complemented
2#13073340C211yesmaximal, characteristic, complemented
3#13073339C211yesmaximal, characteristic, complemented
4#13073338C211yesmaximal, characteristic, complemented
5#13073337C211yesmaximal, characteristic, complemented
6#13073336C211yesmaximal, characteristic, complemented
7#13073335C211yesmaximal, characteristic, complemented
8#13073334C211yesmaximal, characteristic, complemented
9#13073333C211yesmaximal, characteristic, complemented
10#13073332C211yesmaximal, characteristic, complemented
11#13073331C211yesmaximal, characteristic, complemented
12#13073330C211yesmaximal, characteristic, complemented
13#13073329C211yesmaximal, characteristic, complemented
14#13073328C211yesmaximal, characteristic, complemented
15#13073327C211yesmaximal, characteristic, complemented
16D11×#399C211yesmaximal, characteristic
17D11×#398C211yesmaximal, characteristic, complemented
18D11×#398C211yesmaximal, characteristic, complemented
19D11×#396C211yesmaximal, characteristic
20D11×#389C211yesmaximal, characteristic, complemented
21D11×#389C211yesmaximal, characteristic, complemented
22D11×#388C211yesmaximal, characteristic
23D11×#388C211yesmaximal, characteristic
24D11×#387C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#387C211yesmaximal, characteristic, complemented
27D11×#385C211yesmaximal, characteristic
28D11×#380C211yesmaximal, characteristic
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2522C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4⋊C4×D11C2211yescharacteristic
34C2×C4⋊C4×D11C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C11×#399C2211yescharacteristic
56C11×#398C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic
59C11×#389C2211yescharacteristic, complemented
60C11×#389C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#387C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#380C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic
70#10622825C2211yescharacteristic
71#10622823C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622605C2211yescharacteristic
77#10622605C2211yescharacteristic
78#10622605C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622598C2211yescharacteristic, complemented
86#10622598C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622597C2211yescharacteristic, complemented
91#10622596C2211yescharacteristic, complemented
92#10622596C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622593C2211yescharacteristic, complemented
97#10622593C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622586C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622562C2211yescharacteristic
113#10622562C2211yescharacteristic
114#10622562C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622555C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×C4⋊Dic11C2211yescharacteristic, complemented
132#10622546C2211yescharacteristic, complemented
133#10622546C2211yescharacteristic, complemented
134#10622546C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137#10622541C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622290C2211yescharacteristic
140#10622289C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151D11×#95C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163#10622274C2211yescharacteristic, complemented
164#10622274C2211yescharacteristic, complemented
165#10622270C2211yescharacteristic, complemented
166#10622270C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×C4×D11—24no—
191C22×C4×D11—24no—
192C22×C4×D11—42no—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
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
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C4⋊C4×D11—24no—
298C4⋊C4×D11—24no—
299C4⋊C4×D11—24no—
300C4⋊C4×D11—24no—
301C4⋊C4×D11—24no—
302C4⋊C4×D11—24no—
303C4⋊C4×D11—24no—
304C4⋊C4×D11—42no—
305C4⋊C4×D11—42no—
306C4⋊C4×D11—42no—
307C4⋊C4×D11—42no—
308C4⋊C4×D11—42no—
309C22⋊C4×D11—24no—
310C22⋊C4×D11—24no—
311C22⋊C4×D11—42no—
312C22⋊C4×D11—42no—
313C22⋊C4×D11—42no—
314C22⋊C4×D11Q818yes—
315C42×D11—24no—
316C42×D11—42no—
317C42×D11—42no—
318C42×D11—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
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
367C2×#2522—111nomaximal, Sylow
368C24×C11C2411yescharacteristic
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—22no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11C2×Q814yes—
376C23×D11C2411yescharacteristic
377C23×D11C2411yescharacteristic
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—41no—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
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—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—416no—
455C2×C4×D11C2×Q814yes—
456C2×C4×D11C2×Q814yes—
457C2×C4×D11#4114yes—
458C2×C4×D11#4114yes—
459C2×C4×D11#4114yes—
460C2×C4×D11#4114yes—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4C2×Q814yes—
479C42×C11—22no—
480C42×C11—41no—
481C42×C11—41no—
482C42×C11—41no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11C2×Q814yes—
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)⋊C4C2×Q814yes—
500(C2×D11)⋊C4C2×Q814yes—
501C4⋊Dic11—22no—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—22no—
507C4⋊Dic11—22no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
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⋊C4—41no—
536Dic11⋊C4—41no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
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—
549#2522—111no—
550#2522—111no—
551#2522—111no—
552#2522—111no—
553#2522—111no—
554#2522—111no—
555#2522—111no—
556#2522—111no—
557#2522—111no—
558#2522—111no—
559#2522—111no—
560#2522—111no—
561#2522—111no—
562#2522—111no—
563#2522—111no—
564#2522D1111yescharacteristic, direct product factor
565C2×#399—111no—
566C2×#398—111no—
567C2×#398—111no—
568C2×#396—111no—
569C2×#389—111no—
570C2×#389—111no—
571C2×#388—111no—
572C2×#388—111no—
573C2×#387—111no—
574C2×#387—111no—
575C2×#387—111no—
576C2×#385—111no—
577C2×#380—111no—
578C2×C4×C4⋊C4—111no—
579C2×C4×C22⋊C4—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11C22×Q812yes—
587C23×C11C2511yescharacteristic
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—28no—
595C22×D11—28no—
596C22×D11—28no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11C22×Q812yes—
602C22×D11C22×Q812yes—
603C22×D11C2×#4112yes—
604C22×D11C2×#4112yes—
605C22×D11C2×#4112yes—
606C22×D11C2×#4112yes—
607C22×D11H(5,𝔽2)12yes—
608C22×D11H(5,𝔽2)12yes—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
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—44no—
646C2×C4×C11C22×Q812yes—
647C2×C4×C11C22×Q812yes—
648C2×C4×C11C2×#4112yes—
649C2×C4×C11C2×#4112yes—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11C2×#4112yes—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
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—44no—
689C2×Dic11C22×Q812yes—
690C2×Dic11C22×Q812yes—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C4×D11—28no—
696C4×D11—28no—
697C4×D11—28no—
698C4×D11—28no—
699C4×D11—28no—
700C4×D11—28no—
701C4×D11—44no—
702C4×D11—44no—
703C4×D11—44no—
704C4×D11—44no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C24×C4—111no—
712C22×C4⋊C4—111no—
713C22×C4⋊C4—111no—
714C22×C4⋊C4—111no—
715C22×C4⋊C4—111no—
716C22×C4⋊C4—111no—
717C22×C4⋊C4—111no—
718C22×C4⋊C4—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C4⋊C4—111no—
722C22×C4⋊C4—111no—
723C22×C4⋊C4—111no—
724C22×C22⋊C4—111no—
725C22×C22⋊C4—111no—
726C22×C22⋊C4—111no—
727C22×C22⋊C4—111no—
728C22×C22⋊C4—111no—
729C22×C22⋊C4—111no—
730C22×C42—111no—
731C22×C42—111no—
732C22×C42—111no—
733C22×C42—111no—
734#399—111no—
735#399—111no—
736#399—111no—
737#399—111no—
738#399—111no—
739#399—111no—
740#399—111no—
741#399C2×D1111yescharacteristic
742#398—111no—
743#398—111no—
744#398—111no—
745#398—111no—
746#398—111no—
747#398—111no—
748#398—111no—
749#398—111no—
750#398—111no—
751#398—111no—
752#398—111no—
753#398—111no—
754#398—111no—
755#398—111no—
756#398C2×D1111yescharacteristic, complemented
757#398C2×D1111yescharacteristic, complemented
758#396—111no—
759#396—111no—
760#396—111no—
761#396—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396C2×D1111yescharacteristic
766#389—111no—
767#389—111no—
768#389—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
781#389C2×D1111yescharacteristic, complemented
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388C2×D1111yescharacteristic
797#388C2×D1111yescharacteristic
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#387—111no—
807#387—111no—
808#387—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#387C2×D1111yescharacteristic, complemented
820#387C2×D1111yescharacteristic, complemented
821#387C2×D1111yescharacteristic, complemented
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385C2×D1111yescharacteristic
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380C2×D1111yescharacteristic
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4C2×D1111yescharacteristic, complemented
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4C2×D1111yescharacteristic
854C2×#95—111no—
855C2×#95—111no—
856C2×#95—111no—
857C2×#95—111no—
858C2×#95—111no—
859C2×#95—111no—
860C2×#95—111no—
861C2×#95—111no—
862C2×#95—111no—
863C2×#95—111no—
864C2×#95—111no—
865C2×#95—111no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11C23×Q811yescharacteristic
874C22×C11C22×#4111yescharacteristic
875C22×C11C22×#4111yescharacteristic
876C22×C11C22×#4111yescharacteristic
877C22×C11C22×#4111yescharacteristic
878C22×C11C2×H(5,𝔽2)11yescharacteristic
879C22×C11C2×H(5,𝔽2)11yescharacteristic
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—416no—
888C2×D11#52914yes—
889C2×D11#53314yes—
890C2×D11#54014yes—
891C2×D11#55114yes—
892C2×D11#55314yes—
893C2×D11#55414yes—
894C2×D11#55414yes—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—22no—
913Dic11—22no—
914Dic11—22no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923C25—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—224no—
942C23×C4—224no—
943C23×C4—442no—
944C23×C4C22×D1111yescharacteristic
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
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—224no—
982C2×C4⋊C4—224no—
983C2×C4⋊C4—224no—
984C2×C4⋊C4—224no—
985C2×C4⋊C4—224no—
986C2×C4⋊C4—224no—
987C2×C4⋊C4—224no—
988C2×C4⋊C4—442no—
989C2×C4⋊C4—442no—
990C2×C4⋊C4—442no—
991C2×C4⋊C4—442no—
992C2×C4⋊C4—442no—
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—118no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
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—111no—
1024C2×C22⋊C4—224no—
1025C2×C22⋊C4—224no—
1026C2×C22⋊C4—442no—
1027C2×C22⋊C4—442no—
1028C2×C22⋊C4—442no—
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—224no—
1048C2×C42—442no—
1049C2×C42—442no—
1050C2×C42—442no—
1051C2×C42C22×D1111yescharacteristic
1052C2×C42C22×D1111yescharacteristic
1053C2×C42C22×D1111yescharacteristic
1054C2×C42C22×D1111yescharacteristic
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
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#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103C2×C11—42no—
1104C2×C11C2×#52911yescharacteristic
1105C2×C11C2×#53311yescharacteristic
1106C2×C11C2×#54011yescharacteristic
1107C2×C11C2×#55111yescharacteristic
1108C2×C11C2×#55311yescharacteristic
1109C2×C11C2×#55411yescharacteristic
1110C2×C11C2×#55411yescharacteristic
1111D11—42no—
1112D11#252218yesdirect product factor
1113C24—111no—
1114C24—114no—
1115C24—111no—
1116C24—222no—
1117C24—222no—
1118C24—222no—
1119C24—222no—
1120C24—222no—
1121C24—222no—
1122C24C23×D1111yescharacteristic
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—41no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—114no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—114no—
1136C22×C4—114no—
1137C22×C4—114no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
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—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—4416no—
1191C22×C4—441no—
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
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⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—114no—
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
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⋊C4Q8×D1114yes—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—222no—
1283C42—222no—
1284C42—222no—
1285C42—441no—
1286C42—441no—
1287C42—441no—
1288C42—441no—
1289C42—441no—
1290C42—441no—
1291C42—441no—
1292C42—441no—
1293C42—441no—
1294C11C2×#252211yescharacteristic, complemented, Sylow
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—112no—
1302C23—112no—
1303C23—112no—
1304C23—112no—
1305C23—112no—
1306C23—112no—
1307C23—112no—
1308C23—112no—
1309C23—228no—
1310C23—228no—
1311C23—228no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—444no—
1319C23—444no—
1320C23—444no—
1321C23—444no—
1322C23C2×Q8×D1112yes—
1323C23C24×D1111yescharacteristic
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—44no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—228no—
1368C2×C4—228no—
1369C2×C4—228no—
1370C2×C4—228no—
1371C2×C4—228no—
1372C2×C4—228no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
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—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—444no—
1418C2×C4—444no—
1419C2×C4—444no—
1420C2×C4C2×Q8×D1112yes—
1421C2×C4C2×Q8×D1112yes—
1422C2×C4#41×D1112yes—
1423C2×C4#41×D1112yes—
1424C2×C4#41×D1112yes—
1425C2×C4#41×D1112yes—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—114no—
1434C22—114no—
1435C22—114no—
1436C22—114no—
1437C22—114no—
1438C22—114no—
1439C22—114no—
1440C22—222no—
1441C22—222no—
1442C22—222no—
1443C22—4416no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22C22×Q8×D1111yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22C2×#41×D1111yescharacteristic
1451C22C2×#41×D1111yescharacteristic
1452C22C2×#41×D1111yescharacteristic
1453C22D11×H(5,𝔽2)11yescharacteristic
1454C22D11×H(5,𝔽2)11yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—22no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—222no—
1470C4—222no—
1471C4—222no—
1472C4—222no—
1473C4—222no—
1474C4—222no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C2—42no—
1484C2—118no—
1485C2—442no—
1486C2D11×#52911yescharacteristic
1487C2D11×#53311yescharacteristic
1488C2D11×#54011yescharacteristic
1489C2D11×#55111yescharacteristic
1490C2D11×#55311yescharacteristic
1491C2D11×#55411yescharacteristic
1492C2D11×#55411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2522C2
prime radicalC24×D11C23
hypercenter#2522D11
hypocenterC11C2×#2522
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2522

Complements

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

NH ≅ G/Ntype
1. #13073341C2semidirect
2. #13073340C2semidirect
3. #13073339C2semidirect
4. #13073338C2semidirect
5. #13073337C2semidirect
6. #13073336C2semidirect
7. #13073335C2semidirect
8. #13073334C2semidirect
9. #13073333C2semidirect
10. #13073332C2semidirect
11. #13073331C2semidirect
12. #13073330C2semidirect
13. #13073329C2semidirect
14. #13073328C2semidirect
15. #13073327C2semidirect
17. D11×#398C2semidirect
18. D11×#398C2semidirect
20. D11×#389C2semidirect
21. D11×#389C2semidirect
24. D11×#387C2semidirect
25. D11×#387C2semidirect
26. D11×#387C2semidirect
29. C4×C4⋊C4×D11C2semidirect
31. C11×#2522C2semidirect
56. C11×#398C22semidirect
57. C11×#398C22semidirect
59. C11×#389C22semidirect
60. C11×#389C22semidirect
63. C11×#387C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C4×C11×C4⋊C4C22semidirect
85. #10622598C22semidirect
86. #10622598C22semidirect
87. #10622597C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622597C22semidirect
91. #10622596C22semidirect
92. #10622596C22semidirect
93. #10622594C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622593C22semidirect
97. #10622593C22semidirect
98. #10622591C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. #10622586C22semidirect
104. #10622586C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
131. C4×C4⋊Dic11C22semidirect
132. #10622546C22semidirect
133. #10622546C22semidirect
134. #10622546C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. #10622541C22semidirect
138. #10622541C22semidirect
163. #10622274C22semidirect
164. #10622274C22semidirect
165. #10622270C22semidirect
166. #10622270C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622268C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
564. #2522D11direct (N × H)
756. #398C2×D11semidirect
757. #398C2×D11semidirect
780. #389C2×D11semidirect
781. #389C2×D11semidirect
819. #387C2×D11semidirect
820. #387C2×D11semidirect
821. #387C2×D11semidirect
845. C4×C4⋊C4C2×D11semidirect
1112. D11#2522direct (N × H)
1294. C11C2×#2522semidirect

Maximal subgroups

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

subgroupindex
#130733412
#130733402
#130733392
#130733382
#130733372
#130733362
#130733352
#130733342
#130733332
#130733322
#130733312
#130733302
#130733292
#130733282
#130733272
D11×#3992
D11×#3982
D11×#3962
D11×#3892
D11×#3882
D11×#3872
D11×#3852
D11×#3802
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#25222
C2×#252211