Finite Group Databasebeta

← D11×#2532 #14923424

Subgroups — D11×#2532 #14923424

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073485C211yesmaximal, characteristic, complemented
2#13073484C211yesmaximal, characteristic, complemented
3#13073483C211yesmaximal, characteristic, complemented
4#13073482C211yesmaximal, characteristic, complemented
5#13073481C211yesmaximal, characteristic, complemented
6#13073480C211yesmaximal, characteristic, complemented
7#13073479C211yesmaximal, characteristic, complemented
8#13073478C211yesmaximal, characteristic, complemented
9#13073477C211yesmaximal, characteristic, complemented
10#13073476C211yesmaximal, characteristic, complemented
11#13073475C211yesmaximal, characteristic, complemented
12#13073474C211yesmaximal, characteristic, complemented
13#13073473C211yesmaximal, characteristic, complemented
14#13073472C211yesmaximal, characteristic, complemented
15#13073471C211yesmaximal, characteristic, complemented
16D11×#400C211yesmaximal, characteristic, complemented
17D11×#398C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic
19D11×#393C211yesmaximal, characteristic
20D11×#391C211yesmaximal, characteristic, complemented
21D11×#391C211yesmaximal, characteristic, complemented
22D11×#388C211yesmaximal, characteristic
23D11×#388C211yesmaximal, characteristic
24D11×#388C211yesmaximal, characteristic
25D11×#388C211yesmaximal, characteristic
26D11×#388C211yesmaximal, characteristic
27D11×#387C211yesmaximal, characteristic, complemented
28D11×#383C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30D11×#376C211yesmaximal, characteristic, complemented
31C11×#2532C211yesmaximal, characteristic, complemented
32C22×Q8×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×C22⋊C4×D11C2211yescharacteristic
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C2×C42×D11C2211yescharacteristic
48C2×C42×D11C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#397C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#391C2211yescharacteristic, complemented
56C11×#391C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#387C2211yescharacteristic, complemented
63C11×#383C2211yescharacteristic, complemented
64C4×C11×C4⋊C4C2211yescharacteristic, complemented
65C11×#376C2211yescharacteristic, complemented
66#10622844C2211yescharacteristic
67#10622843C2211yescharacteristic, complemented
68#10622843C2211yescharacteristic, complemented
69#10622606C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622599C2211yescharacteristic, complemented
76#10622597C2211yescharacteristic, complemented
77#10622597C2211yescharacteristic, complemented
78#10622596C2211yescharacteristic, complemented
79#10622595C2211yescharacteristic, complemented
80#10622594C2211yescharacteristic, complemented
81#10622593C2211yescharacteristic, complemented
82#10622591C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84C4⋊C4×Dic11C2211yescharacteristic, complemented
85#10622587C2211yescharacteristic, complemented
86#10622587C2211yescharacteristic, complemented
87#10622566C2211yescharacteristic
88#10622565C2211yescharacteristic
89#10622565C2211yescharacteristic
90#10622564C2211yescharacteristic
91#10622564C2211yescharacteristic
92#10622564C2211yescharacteristic
93#10622564C2211yescharacteristic
94#10622564C2211yescharacteristic
95#10622560C2211yescharacteristic
96#10622560C2211yescharacteristic
97#10622560C2211yescharacteristic
98#10622558C2211yescharacteristic
99#10622558C2211yescharacteristic
100#10622558C2211yescharacteristic
101#10622558C2211yescharacteristic
102#10622558C2211yescharacteristic
103#10622557C2211yescharacteristic
104#10622557C2211yescharacteristic
105#10622557C2211yescharacteristic
106#10622557C2211yescharacteristic
107#10622557C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111#10622553C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622550C2211yescharacteristic, complemented
114C4×C4⋊Dic11C2211yescharacteristic, complemented
115#10622546C2211yescharacteristic, complemented
116#10622545C2211yescharacteristic, complemented
117#10622545C2211yescharacteristic, complemented
118#10622545C2211yescharacteristic, complemented
119C4×Dic11⋊C4C2211yescharacteristic, complemented
120C4×Dic11⋊C4C2211yescharacteristic, complemented
121#10622542C2211yescharacteristic, complemented
122#10622542C2211yescharacteristic, complemented
123#10622288C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622287C2211yescharacteristic
126#10622286C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622286C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622283C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622282C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139D11×#95C2211yescharacteristic
140D11×#95C2211yescharacteristic
141D11×#95C2211yescharacteristic
142D11×#95C2211yescharacteristic
143D11×#95C2211yescharacteristic
144D11×#95C2211yescharacteristic
145D11×#95C2211yescharacteristic
146D11×#95C2211yescharacteristic
147D11×#95C2211yescharacteristic
148D11×#95C2211yescharacteristic
149D11×#95C2211yescharacteristic
150D11×#95C2211yescharacteristic
151D11×#95C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155#10622274C2211yescharacteristic, complemented
156#10622273C2211yescharacteristic, complemented
157#10622273C2211yescharacteristic, complemented
158#10622272C2211yescharacteristic, complemented
159#10622271C2211yescharacteristic, complemented
160#10622271C2211yescharacteristic, complemented
161#10622270C2211yescharacteristic, complemented
162#10622270C2211yescharacteristic, complemented
163#10622268C2211yescharacteristic, complemented
164#10622267C2211yescharacteristic, complemented
165#10622266C2211yescharacteristic, complemented
166#10622265C2211yescharacteristic, complemented
167#10622264C2211yescharacteristic, complemented
168#10622264C2211yescharacteristic, complemented
169#10622264C2211yescharacteristic, complemented
170#10622264C2211yescharacteristic, complemented
171#10622264C2211yescharacteristic, complemented
172#10622264C2211yescharacteristic, complemented
173#10622262C2211yescharacteristic, complemented
174#10622262C2211yescharacteristic, complemented
175#10622261C2211yescharacteristic, complemented
176#10622261C2211yescharacteristic, complemented
177#10622261C2211yescharacteristic, complemented
178#10622261C2211yescharacteristic, complemented
179#10622259C2211yescharacteristic, complemented
180#10622259C2211yescharacteristic, complemented
181#10622259C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C2×Q8×D11—24no—
190C2×Q8×D11—24no—
191C2×Q8×D11—42no—
192C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C4⋊C4×D11—24no—
282C4⋊C4×D11—24no—
283C4⋊C4×D11—24no—
284C4⋊C4×D11—42no—
285C4⋊C4×D11—42no—
286C4⋊C4×D11—42no—
287C22⋊C4×D11—24no—
288C22⋊C4×D11—24no—
289C22⋊C4×D11—24no—
290C22⋊C4×D11—24no—
291C22⋊C4×D11—24no—
292C22⋊C4×D11—42no—
293C22⋊C4×D11—42no—
294C42×D11—24no—
295C42×D11—24no—
296C42×D11—24no—
297C42×D11—24no—
298C42×D11—24no—
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
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
363C2×#2532—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—22no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×Q8×C11—22no—
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
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×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405Q8×D11—416no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
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#4114yes—
444C2×C4×D11#4114yes—
445C2×C4×D11#4114yes—
446C2×C4×D11#4114yes—
447C2×C4×D11#4114yes—
448C2×Dic22—22no—
449C2×Dic22—22no—
450C2×Dic22—22no—
451C2×Dic22—22no—
452C2×Dic22—22no—
453C2×Dic22—22no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C2×Dic22—41no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C42×C11—22no—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—22no—
474C42×C11—22no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529#2532—111no—
530#2532—111no—
531#2532—111no—
532#2532—111no—
533#2532—111no—
534#2532—111no—
535#2532—111no—
536#2532—111no—
537#2532—111no—
538#2532—111no—
539#2532—111no—
540#2532—111no—
541#2532—111no—
542#2532—111no—
543#2532—111no—
544#2532D1111yescharacteristic, direct product factor
545C2×#400—111no—
546C2×#398—111no—
547C2×#397—111no—
548C2×#393—111no—
549C2×#391—111no—
550C2×#391—111no—
551C2×#388—111no—
552C2×#388—111no—
553C2×#388—111no—
554C2×#388—111no—
555C2×#388—111no—
556C2×#387—111no—
557C2×#383—111no—
558C2×C4×C4⋊C4—111no—
559C2×#376—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11C2511yescharacteristic
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—44no—
576C22×D11—44no—
577C22×D11—44no—
578C22×D11—44no—
579C22×D11—44no—
580C22×D11—44no—
581C22×D11—44no—
582C22×D11C2×#4112yes—
583C22×D11C2×#4112yes—
584C22×D11C2×#4112yes—
585C22×D11C2×#4112yes—
586C22×D11C2×#4112yes—
587C22×D11H(5,𝔽2)12yes—
588C22×D112−1+412yes—
589Q8×C11—44no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
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×C11C2×#4112yes—
628C2×C4×C11C2×#4112yes—
629C2×C4×C11C2×#4112yes—
630C2×C4×C11C2×#4112yes—
631C2×C4×C11C2×#4112yes—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
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×Dic11C2×#4112yes—
670C2×Dic11C2×#4112yes—
671C2×Dic11C2×#4112yes—
672C2×Dic11C2×#4112yes—
673C2×Dic11C2×#4112yes—
674C4×D11—28no—
675C4×D11—28no—
676C4×D11—28no—
677C4×D11—28no—
678C4×D11—28no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—44no—
683C4×D11—44no—
684C4×D11—44no—
685C4×D11—44no—
686C4×D11—44no—
687C4×D11—44no—
688Dic22—44no—
689Dic22—44no—
690Dic22—44no—
691C23×Q8—111no—
692C22×C4⋊C4—111no—
693C22×C4⋊C4—111no—
694C22×C4⋊C4—111no—
695C22×C4⋊C4—111no—
696C22×C4⋊C4—111no—
697C22×C4⋊C4—111no—
698C22×C22⋊C4—111no—
699C22×C22⋊C4—111no—
700C22×C22⋊C4—111no—
701C22×C22⋊C4—111no—
702C22×C22⋊C4—111no—
703C22×C22⋊C4—111no—
704C22×C22⋊C4—111no—
705C22×C42—111no—
706C22×C42—111no—
707C22×C42—111no—
708C22×C42—111no—
709C22×C42—111no—
710#400—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#400C2×D1111yescharacteristic, complemented
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398C2×D1111yescharacteristic, complemented
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397C2×D1111yescharacteristic
734#393—111no—
735#393—111no—
736#393—111no—
737#393—111no—
738#393—111no—
739#393—111no—
740#393—111no—
741#393C2×D1111yescharacteristic
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391—111no—
747#391—111no—
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391—111no—
753#391—111no—
754#391—111no—
755#391—111no—
756#391C2×D1111yescharacteristic, complemented
757#391C2×D1111yescharacteristic, complemented
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
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#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388C2×D1111yescharacteristic
794#388C2×D1111yescharacteristic
795#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic, complemented
806#383—111no—
807#383—111no—
808#383—111no—
809#383—111no—
810#383—111no—
811#383—111no—
812#383—111no—
813#383C2×D1111yescharacteristic, complemented
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4C2×D1111yescharacteristic, complemented
822#376—111no—
823#376—111no—
824#376—111no—
825#376—111no—
826#376—111no—
827#376—111no—
828#376—111no—
829#376C2×D1111yescharacteristic, complemented
830C2×#95—111no—
831C2×#95—111no—
832C2×#95—111no—
833C2×#95—111no—
834C2×#95—111no—
835C2×#95—111no—
836C2×#95—111no—
837C2×#95—111no—
838C2×#95—111no—
839C2×#95—111no—
840C2×#95—111no—
841C2×#95—111no—
842C2×#95—111no—
843C2×#95—111no—
844C2×#95—111no—
845C2×#95—111no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11C22×#4111yescharacteristic
854C22×C11C22×#4111yescharacteristic
855C22×C11C22×#4111yescharacteristic
856C22×C11C22×#4111yescharacteristic
857C22×C11C22×#4111yescharacteristic
858C22×C11C2×H(5,𝔽2)11yescharacteristic
859C22×C11C2×2−1+411yescharacteristic
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—88no—
868C2×D11#52914yes—
869C2×D11#52914yes—
870C2×D11#54214yes—
871C2×D11#55114yes—
872C2×D11#55214yes—
873C2×D11#55514yes—
874C2×D11#55614yes—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—22no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889Dic11—22no—
890Dic11—22no—
891Dic11—22no—
892Dic11—22no—
893Dic11—22no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903C25—111no—
904C22×Q8—111no—
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8—224no—
908C22×Q8—224no—
909C22×Q8—442no—
910C22×Q8C22×D1111yescharacteristic
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—224no—
944C2×C4⋊C4—224no—
945C2×C4⋊C4—224no—
946C2×C4⋊C4—442no—
947C2×C4⋊C4—442no—
948C2×C4⋊C4—442no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—224no—
977C2×C22⋊C4—224no—
978C2×C22⋊C4—224no—
979C2×C22⋊C4—224no—
980C2×C22⋊C4—224no—
981C2×C22⋊C4—442no—
982C2×C22⋊C4—442no—
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—224no—
1006C2×C42—224no—
1007C2×C42—224no—
1008C2×C42—224no—
1009C2×C42—224no—
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
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#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079C2×C11—81no—
1080C2×C11C2×#52911yescharacteristic
1081C2×C11C2×#52911yescharacteristic
1082C2×C11C2×#54211yescharacteristic
1083C2×C11C2×#55111yescharacteristic
1084C2×C11C2×#55211yescharacteristic
1085C2×C11C2×#55511yescharacteristic
1086C2×C11C2×#55611yescharacteristic
1087D11—81no—
1088D11#253218yesdirect product factor
1089C24—111no—
1090C24—111no—
1091C24—222no—
1092C24—222no—
1093C24—222no—
1094C24—222no—
1095C24—222no—
1096C24—222no—
1097C24—222no—
1098C24C23×D1111yescharacteristic
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—41no—
1102C2×Q8—222no—
1103C2×Q8—222no—
1104C2×Q8—222no—
1105C2×Q8—222no—
1106C2×Q8—222no—
1107C2×Q8—222no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C2×Q8—441no—
1111C2×Q8—4416no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—114no—
1118C22×C4—114no—
1119C22×C4—114no—
1120C22×C4—114no—
1121C22×C4—114no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
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×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—222no—
1240C42—222no—
1241C42—222no—
1242C42—222no—
1243C42—222no—
1244C42—222no—
1245C42—222no—
1246C42—222no—
1247C42—222no—
1248C42—222no—
1249C42—222no—
1250C42—222no—
1251C42—222no—
1252C42—222no—
1253C42—222no—
1254C11C2×#253211yescharacteristic, complemented, Sylow
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—112no—
1263C23—112no—
1264C23—112no—
1265C23—112no—
1266C23—112no—
1267C23—112no—
1268C23—112no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—444no—
1277C23—444no—
1278C23—444no—
1279C23—444no—
1280C23—444no—
1281C23—444no—
1282C23—444no—
1283C23C24×D1111yescharacteristic
1284Q8—44no—
1285Q8—444no—
1286Q8—444no—
1287Q8—444no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—112no—
1326C2×C4—112no—
1327C2×C4—112no—
1328C2×C4—112no—
1329C2×C4—112no—
1330C2×C4—228no—
1331C2×C4—228no—
1332C2×C4—228no—
1333C2×C4—228no—
1334C2×C4—228no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—444no—
1373C2×C4—444no—
1374C2×C4—444no—
1375C2×C4—444no—
1376C2×C4—444no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4#41×D1112yes—
1382C2×C4#41×D1112yes—
1383C2×C4#41×D1112yes—
1384C2×C4#41×D1112yes—
1385C2×C4#41×D1112yes—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—114no—
1394C22—114no—
1395C22—114no—
1396C22—114no—
1397C22—114no—
1398C22—114no—
1399C22—114no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—888no—
1408C22C2×#41×D1111yescharacteristic
1409C22C2×#41×D1111yescharacteristic
1410C22C2×#41×D1111yescharacteristic
1411C22C2×#41×D1111yescharacteristic
1412C22C2×#41×D1111yescharacteristic
1413C22D11×H(5,𝔽2)11yescharacteristic
1414C22D11×2−1+411yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—222no—
1430C4—222no—
1431C4—222no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C2—81no—
1444C2—118no—
1445C2—881no—
1446C2D11×#52911yescharacteristic
1447C2D11×#52911yescharacteristic
1448C2D11×#54211yescharacteristic
1449C2D11×#55111yescharacteristic
1450C2D11×#55211yescharacteristic
1451C2D11×#55511yescharacteristic
1452C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2532C2
prime radicalC24×D11C23
hypercenter#2532D11
hypocenterC11C2×#2532
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2532

Complements

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

NH ≅ G/Ntype
1. #13073485C2semidirect
2. #13073484C2semidirect
3. #13073483C2semidirect
4. #13073482C2semidirect
5. #13073481C2semidirect
6. #13073480C2semidirect
7. #13073479C2semidirect
8. #13073478C2semidirect
9. #13073477C2semidirect
10. #13073476C2semidirect
11. #13073475C2semidirect
12. #13073474C2semidirect
13. #13073473C2semidirect
14. #13073472C2semidirect
15. #13073471C2semidirect
16. D11×#400C2semidirect
17. D11×#398C2semidirect
20. D11×#391C2semidirect
21. D11×#391C2semidirect
27. D11×#387C2semidirect
28. D11×#383C2semidirect
29. C4×C4⋊C4×D11C2semidirect
30. D11×#376C2semidirect
31. C11×#2532C2semidirect
51. C11×#400C22semidirect
52. C11×#398C22semidirect
55. C11×#391C22semidirect
56. C11×#391C22semidirect
62. C11×#387C22semidirect
63. C11×#383C22semidirect
64. C4×C11×C4⋊C4C22semidirect
65. C11×#376C22semidirect
67. #10622843C22semidirect
68. #10622843C22semidirect
75. #10622599C22semidirect
76. #10622597C22semidirect
77. #10622597C22semidirect
78. #10622596C22semidirect
79. #10622595C22semidirect
80. #10622594C22semidirect
81. #10622593C22semidirect
82. #10622591C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. C4⋊C4×Dic11C22semidirect
85. #10622587C22semidirect
86. #10622587C22semidirect
113. #10622550C22semidirect
114. C4×C4⋊Dic11C22semidirect
115. #10622546C22semidirect
116. #10622545C22semidirect
117. #10622545C22semidirect
118. #10622545C22semidirect
119. C4×Dic11⋊C4C22semidirect
120. C4×Dic11⋊C4C22semidirect
121. #10622542C22semidirect
122. #10622542C22semidirect
155. #10622274C22semidirect
156. #10622273C22semidirect
157. #10622273C22semidirect
158. #10622272C22semidirect
159. #10622271C22semidirect
160. #10622271C22semidirect
161. #10622270C22semidirect
162. #10622270C22semidirect
163. #10622268C22semidirect
164. #10622267C22semidirect
165. #10622266C22semidirect
166. #10622265C22semidirect
167. #10622264C22semidirect
168. #10622264C22semidirect
169. #10622264C22semidirect
170. #10622264C22semidirect
171. #10622264C22semidirect
172. #10622264C22semidirect
173. #10622262C22semidirect
174. #10622262C22semidirect
175. #10622261C22semidirect
176. #10622261C22semidirect
177. #10622261C22semidirect
178. #10622261C22semidirect
179. #10622259C22semidirect
180. #10622259C22semidirect
181. #10622259C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
544. #2532D11direct (N × H)
717. #400C2×D11semidirect
725. #398C2×D11semidirect
756. #391C2×D11semidirect
757. #391C2×D11semidirect
805. #387C2×D11semidirect
813. #383C2×D11semidirect
821. C4×C4⋊C4C2×D11semidirect
829. #376C2×D11semidirect
1088. D11#2532direct (N × H)
1254. C11C2×#2532semidirect

Maximal subgroups

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

subgroupindex
#130734852
#130734842
#130734832
#130734822
#130734812
#130734802
#130734792
#130734782
#130734772
#130734762
#130734752
#130734742
#130734732
#130734722
#130734712
D11×#4002
D11×#3982
D11×#3972
D11×#3932
D11×#3912
D11×#3882
D11×#3872
D11×#3832
C4×C4⋊C4×D112
D11×#3762
C11×#25322
C2×#253211