Finite Group Databasebeta

← D11×#2575 #14924188

Subgroups — D11×#2575 #14924188

Order 2816.

2182 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#13073912C211yesmaximal, characteristic, complemented
2#13073911C211yesmaximal, characteristic, complemented
3#13073910C211yesmaximal, characteristic, complemented
4#13073909C211yesmaximal, characteristic, complemented
5#13073908C211yesmaximal, characteristic, complemented
6#13073907C211yesmaximal, characteristic, complemented
7#13073906C211yesmaximal, characteristic, complemented
8#13073905C211yesmaximal, characteristic, complemented
9#13073904C211yesmaximal, characteristic, complemented
10#13073903C211yesmaximal, characteristic, complemented
11#13073902C211yesmaximal, characteristic, complemented
12#13073901C211yesmaximal, characteristic, complemented
13#13073900C211yesmaximal, characteristic, complemented
14#13073899C211yesmaximal, characteristic, complemented
15#13073898C211yesmaximal, characteristic, complemented
16D11×#400C211yesmaximal, characteristic, complemented
17D11×#400C211yesmaximal, characteristic, complemented
18D11×#399C211yesmaximal, characteristic
19D11×#397C211yesmaximal, characteristic
20D11×#388C211yesmaximal, characteristic
21D11×#388C211yesmaximal, characteristic
22D11×#387C211yesmaximal, characteristic, complemented
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#387C211yesmaximal, characteristic, complemented
25D11×#387C211yesmaximal, characteristic, complemented
26D11×#385C211yesmaximal, characteristic
27D11×#382C211yesmaximal, characteristic, complemented
28D11×#381C211yesmaximal, characteristic
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2575C211yesmaximal, 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×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C42×D11C2211yescharacteristic
48C2×C42×D11C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#399C2211yescharacteristic
54C11×#397C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#385C2211yescharacteristic
62C11×#382C2211yescharacteristic, complemented
63C11×#381C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic, complemented
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622824C2211yescharacteristic
67#10622823C2211yescharacteristic
68C4×C22⋊Dic11C2211yescharacteristic
69#10622606C2211yescharacteristic
70#10622605C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622605C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622599C2211yescharacteristic, complemented
78#10622599C2211yescharacteristic, complemented
79#10622595C2211yescharacteristic, complemented
80#10622595C2211yescharacteristic, complemented
81#10622594C2211yescharacteristic, complemented
82#10622594C2211yescharacteristic, complemented
83#10622594C2211yescharacteristic, complemented
84#10622594C2211yescharacteristic, complemented
85#10622591C2211yescharacteristic, complemented
86#10622591C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622590C2211yescharacteristic, complemented
90#10622590C2211yescharacteristic, complemented
91C4⋊C4×Dic11C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93#10622566C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622564C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622563C2211yescharacteristic
99#10622562C2211yescharacteristic
100#10622562C2211yescharacteristic
101#10622562C2211yescharacteristic
102#10622559C2211yescharacteristic
103#10622558C2211yescharacteristic
104#10622558C2211yescharacteristic
105#10622557C2211yescharacteristic
106#10622557C2211yescharacteristic
107#10622556C2211yescharacteristic
108#10622556C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111#10622553C2211yescharacteristic
112#10622553C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115#10622549C2211yescharacteristic, complemented
116C4×C4⋊Dic11C2211yescharacteristic, complemented
117#10622546C2211yescharacteristic, complemented
118#10622546C2211yescharacteristic, complemented
119#10622546C2211yescharacteristic, complemented
120#10622546C2211yescharacteristic, complemented
121C4×Dic11⋊C4C2211yescharacteristic, complemented
122C4×Dic11⋊C4C2211yescharacteristic, complemented
123#10622290C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622288C2211yescharacteristic
126#10622287C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622283C2211yescharacteristic
129#10622282C2211yescharacteristic
130#10622282C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622279C2211yescharacteristic
134#10622279C2211yescharacteristic
135#10622277C2211yescharacteristic
136#10622277C2211yescharacteristic
137#10622277C2211yescharacteristic
138#10622277C2211yescharacteristic
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#10622273C2211yescharacteristic, complemented
156#10622273C2211yescharacteristic, complemented
157#10622273C2211yescharacteristic, complemented
158#10622273C2211yescharacteristic, complemented
159#10622272C2211yescharacteristic, complemented
160#10622272C2211yescharacteristic, complemented
161#10622271C2211yescharacteristic, complemented
162#10622271C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622271C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622268C2211yescharacteristic, complemented
168#10622268C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, 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×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
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—24no—
285C4⋊C4×D11—24no—
286C4⋊C4×D11—24no—
287C4⋊C4×D11—42no—
288C4⋊C4×D11—42no—
289C22⋊C4×D11—24no—
290C22⋊C4×D11—24no—
291C22⋊C4×D11—24no—
292C22⋊C4×D11—24no—
293C22⋊C4×D11—24no—
294C22⋊C4×D11—42no—
295C42×D11—24no—
296C42×D11—24no—
297C42×D11—42no—
298C42×D11—42no—
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×#2575—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11#4114yes—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×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×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—41no—
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
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—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—41no—
451C2×C4×D11—41no—
452C2×C4×D11—416no—
453C2×C4×D11#4114yes—
454C2×C4×D11#4114yes—
455C2×C4×D11#4114yes—
456C2×C4×D11#4114yes—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—41no—
474C42×C11—41no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—41no—
481(C2×D11)⋊C4—22no—
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—41no—
492(C2×D11)⋊C4—41no—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—22no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529#2575—111no—
530#2575—111no—
531#2575—111no—
532#2575—111no—
533#2575—111no—
534#2575—111no—
535#2575—111no—
536#2575—111no—
537#2575—111no—
538#2575—111no—
539#2575—111no—
540#2575—111no—
541#2575—111no—
542#2575—111no—
543#2575—111no—
544#2575D1111yescharacteristic, direct product factor
545C2×#400—111no—
546C2×#400—111no—
547C2×#399—111no—
548C2×#397—111no—
549C2×#388—111no—
550C2×#388—111no—
551C2×#387—111no—
552C2×#387—111no—
553C2×#387—111no—
554C2×#387—111no—
555C2×#385—111no—
556C2×#382—111no—
557C2×#381—111no—
558C2×C4×C4⋊C4—111no—
559C2×C4×C22⋊C4—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C2×#4112yes—
567C23×C11C2511yescharacteristic
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—28no—
575C22×D11—28no—
576C22×D11—28no—
577C22×D11—44no—
578C22×D11—44no—
579C22×D11—44no—
580C22×D11—44no—
581C22×D11C2×#4112yes—
582C22×D11C2×#4112yes—
583C22×D11C2×#4112yes—
584C22×D11C2×#4112yes—
585C22×D11C2×#4112yes—
586C22×D11C2×#4112yes—
587C22×D11H(5,𝔽2)12yes—
588C22×D112−1+412yes—
589C2×C4×C11—21no—
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×C11—44no—
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×Dic11—21no—
670C2×Dic11—44no—
671C2×Dic11C2×#4112yes—
672C2×Dic11C2×#4112yes—
673C2×Dic11C2×#4112yes—
674C2×Dic11C2×#4112yes—
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—
688C4×D11—44no—
689C4×D11—44no—
690C4×D11—44no—
691C24×C4—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×C4⋊C4—111no—
699C22×C4⋊C4—111no—
700C22×C22⋊C4—111no—
701C22×C22⋊C4—111no—
702C22×C22⋊C4—111no—
703C22×C22⋊C4—111no—
704C22×C22⋊C4—111no—
705C22×C22⋊C4—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#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#400—111no—
722#400—111no—
723#400—111no—
724#400C2×D1111yescharacteristic, complemented
725#400C2×D1111yescharacteristic, complemented
726#399—111no—
727#399—111no—
728#399—111no—
729#399—111no—
730#399—111no—
731#399—111no—
732#399—111no—
733#399C2×D1111yescharacteristic
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397C2×D1111yescharacteristic
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388C2×D1111yescharacteristic
757#388C2×D1111yescharacteristic
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387C2×D1111yescharacteristic, complemented
787#387C2×D1111yescharacteristic, complemented
788#387C2×D1111yescharacteristic, complemented
789#387C2×D1111yescharacteristic, complemented
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385C2×D1111yescharacteristic
798#382—111no—
799#382—111no—
800#382—111no—
801#382—111no—
802#382—111no—
803#382—111no—
804#382—111no—
805#382C2×D1111yescharacteristic, complemented
806#381—111no—
807#381—111no—
808#381—111no—
809#381—111no—
810#381—111no—
811#381—111no—
812#381—111no—
813#381C2×D1111yescharacteristic
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
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4C2×D1111yescharacteristic
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—22no—
847C22×C11—22no—
848C22×C11—22no—
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—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—416no—
868C2×D11#52914yes—
869C2×D11#52914yes—
870C2×D11#53914yes—
871C2×D11#55114yes—
872C2×D11#55214yes—
873C2×D11#55214yes—
874C2×D11#55914yes—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—41no—
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—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903C25—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
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—224no—
922C23×C4—224no—
923C23×C4—442no—
924C23×C4C22×D1111yescharacteristic
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—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—224no—
950C2×C4⋊C4—224no—
951C2×C4⋊C4—224no—
952C2×C4⋊C4—224no—
953C2×C4⋊C4—224no—
954C2×C4⋊C4—224no—
955C2×C4⋊C4—442no—
956C2×C4⋊C4—442no—
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—224no—
984C2×C22⋊C4—224no—
985C2×C22⋊C4—224no—
986C2×C22⋊C4—224no—
987C2×C22⋊C4—224no—
988C2×C22⋊C4—442no—
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C22⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1006C2×C42—111no—
1007C2×C42—224no—
1008C2×C42—224no—
1009C2×C42—442no—
1010C2×C42—442no—
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—42no—
1080C2×C11C2×#52911yescharacteristic
1081C2×C11C2×#52911yescharacteristic
1082C2×C11C2×#53911yescharacteristic
1083C2×C11C2×#55111yescharacteristic
1084C2×C11C2×#55211yescharacteristic
1085C2×C11C2×#55211yescharacteristic
1086C2×C11C2×#55911yescharacteristic
1087D11—42no—
1088D11#257518yesdirect product factor
1089C24—111no—
1090C24—114no—
1091C24—111no—
1092C24—222no—
1093C24—222no—
1094C24—222no—
1095C24—222no—
1096C24—222no—
1097C24—222no—
1098C24C23×D1111yescharacteristic
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—41no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—114no—
1107C22×C4—114no—
1108C22×C4—114no—
1109C22×C4—114no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
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—441no—
1165C22×C4—441no—
1166C22×C4—4416no—
1167C22×C4—441no—
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—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—41no—
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—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C42—22no—
1239C42—22no—
1240C42—41no—
1241C42—41no—
1242C42—222no—
1243C42—222no—
1244C42—222no—
1245C42—222no—
1246C42—222no—
1247C42—222no—
1248C42—441no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C42—441no—
1253C42—441no—
1254C11C2×#257511yescharacteristic, complemented, Sylow
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—112no—
1262C23—112no—
1263C23—112no—
1264C23—112no—
1265C23—112no—
1266C23—112no—
1267C23—112no—
1268C23—112no—
1269C23—228no—
1270C23—228no—
1271C23—228no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—444no—
1279C23—444no—
1280C23—444no—
1281C23—444no—
1282C23#41×D1112yes—
1283C23C24×D1111yescharacteristic
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
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—44no—
1323C2×C4—112no—
1324C2×C4—112no—
1325C2×C4—112no—
1326C2×C4—112no—
1327C2×C4—228no—
1328C2×C4—228no—
1329C2×C4—228no—
1330C2×C4—228no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
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—444no—
1370C2×C4—444no—
1371C2×C4—444no—
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—444no—
1382C2×C4#41×D1112yes—
1383C2×C4#41×D1112yes—
1384C2×C4#41×D1112yes—
1385C2×C4#41×D1112yes—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—114no—
1394C22—114no—
1395C22—114no—
1396C22—114no—
1397C22—114no—
1398C22—114no—
1399C22—114no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—4416no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
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—41no—
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—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C2—42no—
1444C2—118no—
1445C2—442no—
1446C2D11×#52911yescharacteristic
1447C2D11×#52911yescharacteristic
1448C2D11×#53911yescharacteristic
1449C2D11×#55111yescharacteristic
1450C2D11×#55211yescharacteristic
1451C2D11×#55211yescharacteristic
1452C2D11×#55911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2575C2
prime radicalC24×D11C23
hypercenter#2575D11
hypocenterC11C2×#2575
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2575

Complements

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

NH ≅ G/Ntype
1. #13073912C2semidirect
2. #13073911C2semidirect
3. #13073910C2semidirect
4. #13073909C2semidirect
5. #13073908C2semidirect
6. #13073907C2semidirect
7. #13073906C2semidirect
8. #13073905C2semidirect
9. #13073904C2semidirect
10. #13073903C2semidirect
11. #13073902C2semidirect
12. #13073901C2semidirect
13. #13073900C2semidirect
14. #13073899C2semidirect
15. #13073898C2semidirect
16. D11×#400C2semidirect
17. D11×#400C2semidirect
22. D11×#387C2semidirect
23. D11×#387C2semidirect
24. D11×#387C2semidirect
25. D11×#387C2semidirect
27. D11×#382C2semidirect
29. C4×C4⋊C4×D11C2semidirect
31. C11×#2575C2semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
62. C11×#382C22semidirect
64. C4×C11×C4⋊C4C22semidirect
77. #10622599C22semidirect
78. #10622599C22semidirect
79. #10622595C22semidirect
80. #10622595C22semidirect
81. #10622594C22semidirect
82. #10622594C22semidirect
83. #10622594C22semidirect
84. #10622594C22semidirect
85. #10622591C22semidirect
86. #10622591C22semidirect
87. #10622591C22semidirect
88. #10622591C22semidirect
89. #10622590C22semidirect
90. #10622590C22semidirect
91. C4⋊C4×Dic11C22semidirect
92. C4⋊C4×Dic11C22semidirect
115. #10622549C22semidirect
116. C4×C4⋊Dic11C22semidirect
117. #10622546C22semidirect
118. #10622546C22semidirect
119. #10622546C22semidirect
120. #10622546C22semidirect
121. C4×Dic11⋊C4C22semidirect
122. C4×Dic11⋊C4C22semidirect
155. #10622273C22semidirect
156. #10622273C22semidirect
157. #10622273C22semidirect
158. #10622273C22semidirect
159. #10622272C22semidirect
160. #10622272C22semidirect
161. #10622271C22semidirect
162. #10622271C22semidirect
163. #10622271C22semidirect
164. #10622271C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622268C22semidirect
168. #10622268C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
544. #2575D11direct (N × H)
724. #400C2×D11semidirect
725. #400C2×D11semidirect
786. #387C2×D11semidirect
787. #387C2×D11semidirect
788. #387C2×D11semidirect
789. #387C2×D11semidirect
805. #382C2×D11semidirect
821. C4×C4⋊C4C2×D11semidirect
1088. D11#2575direct (N × H)
1254. C11C2×#2575semidirect

Maximal subgroups

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

subgroupindex
#130739122
#130739112
#130739102
#130739092
#130739082
#130739072
#130739062
#130739052
#130739042
#130739032
#130739022
#130739012
#130739002
#130738992
#130738982
D11×#4002
D11×#3992
D11×#3972
D11×#3882
D11×#3872
D11×#3852
D11×#3822
D11×#3812
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#25752
C2×#257511