Finite Group Databasebeta

← D11×#2574 #14924006

Subgroups — D11×#2574 #14924006

Order 2816.

2334 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073897C211yesmaximal, characteristic, complemented
2#13073896C211yesmaximal, characteristic, complemented
3#13073895C211yesmaximal, characteristic, complemented
4#13073894C211yesmaximal, characteristic, complemented
5#13073893C211yesmaximal, characteristic, complemented
6#13073892C211yesmaximal, characteristic, complemented
7#13073891C211yesmaximal, characteristic, complemented
8#13073890C211yesmaximal, characteristic, complemented
9#13073889C211yesmaximal, characteristic, complemented
10#13073888C211yesmaximal, characteristic, complemented
11#13073887C211yesmaximal, characteristic, complemented
12#13073886C211yesmaximal, characteristic, complemented
13#13073885C211yesmaximal, characteristic, complemented
14#13073884C211yesmaximal, characteristic, complemented
15#13073883C211yesmaximal, characteristic, complemented
16D11×#398C211yesmaximal, characteristic, complemented
17D11×#396C211yesmaximal, characteristic
18D11×#395C211yesmaximal, characteristic, complemented
19D11×#393C211yesmaximal, characteristic
20D11×#391C211yesmaximal, characteristic, complemented
21D11×#388C211yesmaximal, characteristic
22D11×#388C211yesmaximal, characteristic
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#387C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#385C211yesmaximal, characteristic
27D11×#382C211yesmaximal, characteristic, complemented
28D11×#380C211yesmaximal, characteristic
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2574C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C23×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×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#398C2211yescharacteristic, complemented
54C11×#396C2211yescharacteristic
55C11×#395C2211yescharacteristic, complemented
56C11×#393C2211yescharacteristic
57C11×#391C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#382C2211yescharacteristic, complemented
65C11×#380C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic
68#10622844C2211yescharacteristic
69#10622843C2211yescharacteristic, complemented
70#10622842C2211yescharacteristic, complemented
71#10622825C2211yescharacteristic
72#10622823C2211yescharacteristic
73C4×C22⋊Dic11C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622597C2211yescharacteristic, complemented
84#10622597C2211yescharacteristic, complemented
85#10622596C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622593C2211yescharacteristic, complemented
90#10622592C2211yescharacteristic, complemented
91#10622592C2211yescharacteristic, complemented
92#10622592C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622590C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100#10622587C2211yescharacteristic, complemented
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622561C2211yescharacteristic
105#10622561C2211yescharacteristic
106#10622561C2211yescharacteristic
107#10622560C2211yescharacteristic
108#10622560C2211yescharacteristic
109#10622560C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622555C2211yescharacteristic
116#10622555C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123#10622549C2211yescharacteristic, complemented
124C4×C4⋊Dic11C2211yescharacteristic, complemented
125#10622546C2211yescharacteristic, complemented
126#10622546C2211yescharacteristic, complemented
127#10622546C2211yescharacteristic, complemented
128C4×Dic11⋊C4C2211yescharacteristic, complemented
129C4×Dic11⋊C4C2211yescharacteristic, complemented
130#10622542C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622286C2211yescharacteristic
133#10622286C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622280C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145D11×#95C2211yescharacteristic
146D11×#95C2211yescharacteristic
147D11×#95C2211yescharacteristic
148D11×#95C2211yescharacteristic
149D11×#95C2211yescharacteristic
150D11×#95C2211yescharacteristic
151D11×#95C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159#10622274C2211yescharacteristic, complemented
160#10622270C2211yescharacteristic, complemented
161#10622270C2211yescharacteristic, complemented
162#10622269C2211yescharacteristic, complemented
163#10622269C2211yescharacteristic, complemented
164#10622269C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622268C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622266C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C2×Q8×D11—24no—
192C2×Q8×D11—42no—
193C2×Q8×D11—42no—
194C22×C4×D11—24no—
195C22×C4×D11—24no—
196C22×C4×D11—42no—
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
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C4⋊C4×D11—24no—
293C4⋊C4×D11—24no—
294C4⋊C4×D11—24no—
295C4⋊C4×D11—24no—
296C4⋊C4×D11—24no—
297C4⋊C4×D11—42no—
298C4⋊C4×D11—42no—
299C4⋊C4×D11—42no—
300C4⋊C4×D11—42no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—42no—
304C22⋊C4×D11—42no—
305C22⋊C4×D11—42no—
306C22⋊C4×D11Q818yescomplemented
307C42×D11—24no—
308C42×D11—24no—
309C42×D11—42no—
310C42×D11—42no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
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×#2574—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
378C2×Q8×C11—22no—
379C2×Q8×C11—41no—
380C2×Q8×C11—41no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—41no—
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415Q8×D11—416no—
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—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—416no—
459C2×C4×D11C2×Q814yes—
460C2×C4×D11C2×Q814yes—
461C2×C4×D11#4114yes—
462C2×C4×D11#4114yes—
463C2×C4×D11#4114yes—
464C2×C4×D11#4114yes—
465C2×Dic22—22no—
466C2×Dic22—22no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C2×Dic22—41no—
473C2×Dic22—41no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4C2×Q814yescomplemented
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—41no—
492C42×C11—41no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11C2×Q814yescomplemented
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4C2×Q814yescomplemented
510(C2×D11)⋊C4C2×Q814yescomplemented
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—22no—
515C4⋊Dic11—22no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550#2574—111no—
551#2574—111no—
552#2574—111no—
553#2574—111no—
554#2574—111no—
555#2574—111no—
556#2574—111no—
557#2574—111no—
558#2574—111no—
559#2574—111no—
560#2574—111no—
561#2574—111no—
562#2574—111no—
563#2574—111no—
564#2574—111no—
565#2574D1111yescharacteristic, direct product factor
566C2×#398—111no—
567C2×#396—111no—
568C2×#395—111no—
569C2×#393—111no—
570C2×#391—111no—
571C2×#388—111no—
572C2×#388—111no—
573C2×#387—111no—
574C2×#387—111no—
575C2×#387—111no—
576C2×#385—111no—
577C2×#382—111no—
578C2×#380—111no—
579C2×C4×C4⋊C4—111no—
580C2×C4×C22⋊C4—111no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11C22×Q812yes—
588C23×C11C2511yescharacteristic
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—28no—
596C22×D11—28no—
597C22×D11—28no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C22×Q812yes—
603C22×D11C22×Q812yes—
604C22×D11C2×#4112yes—
605C22×D11C2×#4112yes—
606C22×D11C2×#4112yes—
607C22×D11C2×#4112yes—
608C22×D11H(5,𝔽2)12yes—
609C22×D11H(5,𝔽2)12yes—
610Q8×C11—44no—
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—21no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11C22×Q812yes—
649C2×C4×C11C22×Q812yes—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11C2×#4112yes—
652C2×C4×C11C2×#4112yes—
653C2×C4×C11C2×#4112yes—
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—21no—
689C2×Dic11—21no—
690C2×Dic11—44no—
691C2×Dic11C22×Q812yes—
692C2×Dic11C22×Q812yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C2×Dic11C2×#4112yes—
696C2×Dic11C2×#4112yes—
697C4×D11—28no—
698C4×D11—28no—
699C4×D11—28no—
700C4×D11—28no—
701C4×D11—28no—
702C4×D11—28no—
703C4×D11—44no—
704C4×D11—44no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—44no—
713Dic22—44no—
714Dic22—44no—
715Dic22—44no—
716C23×Q8—111no—
717C24×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×C4⋊C4—111no—
725C22×C4⋊C4—111no—
726C22×C4⋊C4—111no—
727C22×C22⋊C4—111no—
728C22×C22⋊C4—111no—
729C22×C22⋊C4—111no—
730C22×C22⋊C4—111no—
731C22×C22⋊C4—111no—
732C22×C22⋊C4—111no—
733C22×C42—111no—
734C22×C42—111no—
735C22×C42—111no—
736C22×C42—111no—
737#398—111no—
738#398—111no—
739#398—111no—
740#398—111no—
741#398—111no—
742#398—111no—
743#398—111no—
744#398C2×D1111yescharacteristic, complemented
745#396—111no—
746#396—111no—
747#396—111no—
748#396—111no—
749#396—111no—
750#396—111no—
751#396—111no—
752#396C2×D1111yescharacteristic
753#395—111no—
754#395—111no—
755#395—111no—
756#395—111no—
757#395—111no—
758#395—111no—
759#395—111no—
760#395C2×D1111yescharacteristic, complemented
761#393—111no—
762#393—111no—
763#393—111no—
764#393—111no—
765#393—111no—
766#393—111no—
767#393—111no—
768#393C2×D1111yescharacteristic
769#391—111no—
770#391—111no—
771#391—111no—
772#391—111no—
773#391—111no—
774#391—111no—
775#391—111no—
776#391C2×D1111yescharacteristic, complemented
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#388—111no—
789#388—111no—
790#388—111no—
791#388C2×D1111yescharacteristic
792#388C2×D1111yescharacteristic
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#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387C2×D1111yescharacteristic, complemented
815#387C2×D1111yescharacteristic, complemented
816#387C2×D1111yescharacteristic, complemented
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385C2×D1111yescharacteristic
825#382—111no—
826#382—111no—
827#382—111no—
828#382—111no—
829#382—111no—
830#382—111no—
831#382—111no—
832#382C2×D1111yescharacteristic, complemented
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380—111no—
838#380—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4C2×D1111yescharacteristic, complemented
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4C2×D1111yescharacteristic
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—
866C2×#95—111no—
867C2×#95—111no—
868C2×#95—111no—
869C2×#95—111no—
870C2×#95—111no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11C23×Q811yescharacteristic
879C22×C11C22×#4111yescharacteristic
880C22×C11C22×#4111yescharacteristic
881C22×C11C22×#4111yescharacteristic
882C22×C11C22×#4111yescharacteristic
883C22×C11C2×H(5,𝔽2)11yescharacteristic
884C22×C11C2×H(5,𝔽2)11yescharacteristic
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—22no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—416no—
893C2×D11#52914yes—
894C2×D11#53314yes—
895C2×D11#53814yes—
896C2×D11#55114yes—
897C2×D11#55414yes—
898C2×D11#55414yes—
899C2×D11#55514yes—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—22no—
903C4×C11—22no—
904C4×C11—22no—
905C4×C11—22no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914Dic11—22no—
915Dic11—22no—
916Dic11—22no—
917Dic11—22no—
918Dic11—22no—
919Dic11—22no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925Dic11—41no—
926Dic11—41no—
927Dic11—41no—
928C25—111no—
929C22×Q8—111no—
930C22×Q8—111no—
931C22×Q8—111no—
932C22×Q8—224no—
933C22×Q8—442no—
934C22×Q8—442no—
935C22×Q8C22×D1111yescharacteristic
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—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—224no—
954C23×C4—224no—
955C23×C4—442no—
956C23×C4C22×D1111yescharacteristic
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—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—224no—
985C2×C4⋊C4—224no—
986C2×C4⋊C4—224no—
987C2×C4⋊C4—224no—
988C2×C4⋊C4—224no—
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×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—118no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
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—224no—
1022C2×C22⋊C4—224no—
1023C2×C22⋊C4—442no—
1024C2×C22⋊C4—442no—
1025C2×C22⋊C4—442no—
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
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—224no—
1045C2×C42—224no—
1046C2×C42—442no—
1047C2×C42—442no—
1048C2×C42C22×D1111yescharacteristic
1049C2×C42C22×D1111yescharacteristic
1050C2×C42C22×D1111yescharacteristic
1051C2×C42C22×D1111yescharacteristic
1052#95—111no—
1053#95—111no—
1054#95—111no—
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#95—111no—
1092#95—111no—
1093#95—111no—
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
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108C2×C11—42no—
1109C2×C11C2×#52911yescharacteristic
1110C2×C11C2×#53311yescharacteristic
1111C2×C11C2×#53811yescharacteristic
1112C2×C11C2×#55111yescharacteristic
1113C2×C11C2×#55411yescharacteristic
1114C2×C11C2×#55411yescharacteristic
1115C2×C11C2×#55511yescharacteristic
1116D11—42no—
1117D11#257418yesdirect product factor
1118C24—111no—
1119C24—114no—
1120C24—111no—
1121C24—222no—
1122C24—222no—
1123C24—222no—
1124C24—222no—
1125C24—222no—
1126C24—222no—
1127C24C23×D1111yescharacteristic
1128C2×Q8—22no—
1129C2×Q8—41no—
1130C2×Q8—41no—
1131C2×Q8—222no—
1132C2×Q8—222no—
1133C2×Q8—222no—
1134C2×Q8—441no—
1135C2×Q8—441no—
1136C2×Q8—441no—
1137C2×Q8—441no—
1138C2×Q8—441no—
1139C2×Q8—441no—
1140C2×Q8—4416no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—41no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—114no—
1151C22×C4—114no—
1152C22×C4—114no—
1153C22×C4—114no—
1154C22×C4—114no—
1155C22×C4—114no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
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—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—4416no—
1209C22×C4—441no—
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
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—222no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—222no—
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⋊C4Q8×D1114yescomplemented
1284C42—22no—
1285C42—22no—
1286C42—41no—
1287C42—41no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—441no—
1295C42—441no—
1296C42—441no—
1297C42—441no—
1298C42—441no—
1299C42—441no—
1300C11C2×#257411yescharacteristic, complemented, Sylow
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—112no—
1308C23—112no—
1309C23—112no—
1310C23—112no—
1311C23—112no—
1312C23—112no—
1313C23—112no—
1314C23—112no—
1315C23—228no—
1316C23—228no—
1317C23—228no—
1318C23—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—444no—
1325C23—444no—
1326C23—444no—
1327C23—444no—
1328C23C2×Q8×D1112yes—
1329C23C24×D1111yescharacteristic
1330Q8—44no—
1331Q8—444no—
1332Q8—444no—
1333Q8—444no—
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—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—44no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—112no—
1375C2×C4—112no—
1376C2×C4—112no—
1377C2×C4—228no—
1378C2×C4—228no—
1379C2×C4—228no—
1380C2×C4—228no—
1381C2×C4—228no—
1382C2×C4—228no—
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—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—444no—
1420C2×C4—444no—
1421C2×C4—444no—
1422C2×C4—444no—
1423C2×C4—444no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—444no—
1427C2×C4—444no—
1428C2×C4—444no—
1429C2×C4—444no—
1430C2×C4C2×Q8×D1112yes—
1431C2×C4C2×Q8×D1112yes—
1432C2×C4#41×D1112yes—
1433C2×C4#41×D1112yes—
1434C2×C4#41×D1112yes—
1435C2×C4#41×D1112yes—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—114no—
1444C22—114no—
1445C22—114no—
1446C22—114no—
1447C22—114no—
1448C22—114no—
1449C22—114no—
1450C22—222no—
1451C22—222no—
1452C22—222no—
1453C22—4416no—
1454C22—441no—
1455C22—441no—
1456C22—441no—
1457C22—441no—
1458C22C22×Q8×D1111yescharacteristic
1459C22C2×#41×D1111yescharacteristic
1460C22C2×#41×D1111yescharacteristic
1461C22C2×#41×D1111yescharacteristic
1462C22C2×#41×D1111yescharacteristic
1463C22D11×H(5,𝔽2)11yescharacteristic
1464C22D11×H(5,𝔽2)11yescharacteristic
1465C4—22no—
1466C4—22no—
1467C4—22no—
1468C4—22no—
1469C4—22no—
1470C4—22no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—222no—
1480C4—222no—
1481C4—222no—
1482C4—222no—
1483C4—222no—
1484C4—222no—
1485C4—441no—
1486C4—441no—
1487C4—441no—
1488C4—441no—
1489C4—441no—
1490C4—441no—
1491C4—441no—
1492C4—441no—
1493C2—42no—
1494C2—118no—
1495C2—442no—
1496C2D11×#52911yescharacteristic
1497C2D11×#53311yescharacteristic
1498C2D11×#53811yescharacteristic
1499C2D11×#55111yescharacteristic
1500C2D11×#55411yescharacteristic
1501C2D11×#55411yescharacteristic
1502C2D11×#55511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2574C2
prime radicalC24×D11C23
hypercenter#2574D11
hypocenterC11C2×#2574
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2574

Complements

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

NH ≅ G/Ntype
1. #13073897C2semidirect
2. #13073896C2semidirect
3. #13073895C2semidirect
4. #13073894C2semidirect
5. #13073893C2semidirect
6. #13073892C2semidirect
7. #13073891C2semidirect
8. #13073890C2semidirect
9. #13073889C2semidirect
10. #13073888C2semidirect
11. #13073887C2semidirect
12. #13073886C2semidirect
13. #13073885C2semidirect
14. #13073884C2semidirect
15. #13073883C2semidirect
16. D11×#398C2semidirect
18. D11×#395C2semidirect
20. D11×#391C2semidirect
23. D11×#387C2semidirect
24. D11×#387C2semidirect
25. D11×#387C2semidirect
27. D11×#382C2semidirect
29. C4×C4⋊C4×D11C2semidirect
31. C11×#2574C2semidirect
53. C11×#398C22semidirect
55. C11×#395C22semidirect
57. C11×#391C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
62. C11×#387C22semidirect
64. C11×#382C22semidirect
66. C4×C11×C4⋊C4C22semidirect
69. #10622843C22semidirect
70. #10622842C22semidirect
83. #10622597C22semidirect
84. #10622597C22semidirect
85. #10622596C22semidirect
86. #10622594C22semidirect
87. #10622594C22semidirect
88. #10622594C22semidirect
89. #10622593C22semidirect
90. #10622592C22semidirect
91. #10622592C22semidirect
92. #10622592C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622591C22semidirect
96. #10622590C22semidirect
97. #10622590C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. #10622587C22semidirect
123. #10622549C22semidirect
124. C4×C4⋊Dic11C22semidirect
125. #10622546C22semidirect
126. #10622546C22semidirect
127. #10622546C22semidirect
128. C4×Dic11⋊C4C22semidirect
129. C4×Dic11⋊C4C22semidirect
130. #10622542C22semidirect
159. #10622274C22semidirect
160. #10622270C22semidirect
161. #10622270C22semidirect
162. #10622269C22semidirect
163. #10622269C22semidirect
164. #10622269C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622268C22semidirect
168. #10622267C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622266C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622265C22semidirect
177. #10622263C22semidirect
178. #10622263C22semidirect
179. #10622263C22semidirect
180. #10622263C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
306. C22⋊C4×D11Q8semidirect
488. C11×C22⋊C4C2×Q8semidirect
498. C22⋊Dic11C2×Q8semidirect
509. (C2×D11)⋊C4C2×Q8semidirect
510. (C2×D11)⋊C4C2×Q8semidirect
565. #2574D11direct (N × H)
744. #398C2×D11semidirect
760. #395C2×D11semidirect
776. #391C2×D11semidirect
814. #387C2×D11semidirect
815. #387C2×D11semidirect
816. #387C2×D11semidirect
832. #382C2×D11semidirect
848. C4×C4⋊C4C2×D11semidirect
1117. D11#2574direct (N × H)
1283. C22⋊C4Q8×D11semidirect
1300. C11C2×#2574semidirect

Maximal subgroups

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

subgroupindex
#130738972
#130738962
#130738952
#130738942
#130738932
#130738922
#130738912
#130738902
#130738892
#130738882
#130738872
#130738862
#130738852
#130738842
#130738832
D11×#3982
D11×#3962
D11×#3952
D11×#3932
D11×#3912
D11×#3882
D11×#3872
D11×#3852
D11×#3822
D11×#3802
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#25742
C2×#257411