Finite Group Databasebeta

← D11×#2481 #14921391

Subgroups — D11×#2481 #14921391

Order 2816.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#126C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D11C211yesmaximal, characteristic, complemented
3#13072884C211yesmaximal, characteristic, complemented
4#13072883C211yesmaximal, characteristic, complemented
5#13072882C211yesmaximal, characteristic, complemented
6#13072881C211yesmaximal, characteristic, complemented
7#13072880C211yesmaximal, characteristic, complemented
8#13072879C211yesmaximal, characteristic, complemented
9#13072878C211yesmaximal, characteristic, complemented
10#13072877C211yesmaximal, characteristic, complemented
11#13072876C211yesmaximal, characteristic, complemented
12#13072875C211yesmaximal, characteristic, complemented
13#13072874C211yesmaximal, characteristic, complemented
14#13072873C211yesmaximal, characteristic, complemented
15#13072872C211yesmaximal, characteristic, complemented
16#13072871C211yesmaximal, characteristic, complemented
17#13072870C211yesmaximal, characteristic, complemented
18D11×#400C211yesmaximal, characteristic, complemented
19D11×#400C211yesmaximal, characteristic, complemented
20D11×#397C211yesmaximal, characteristic, complemented
21D11×#396C211yesmaximal, characteristic, complemented
22D11×#388C211yesmaximal, characteristic, complemented
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#387C211yesmaximal, characteristic, complemented
25D11×#386C211yesmaximal, characteristic
26D11×#386C211yesmaximal, characteristic
27D11×#386C211yesmaximal, characteristic
28D11×#385C211yesmaximal, characteristic, complemented
29D11×#380C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2481C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×#126C2211yescharacteristic, complemented
37C22×C11×C4⋊C4C2211yescharacteristic, complemented
38C22×C4⋊Dic11C2211yescharacteristic, complemented
39C22×Dic11⋊C4C2211yescharacteristic, complemented
40C22×Dic11⋊C4C2211yescharacteristic, complemented
41D11×#126—28no—
42C2×#66951C2211yescharacteristic, complemented
43C2×#66951C2211yescharacteristic, complemented
44C2×#66951C2211yescharacteristic, complemented
45C2×C4⋊C4×D11—28no—
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic, complemented
55C2×C4⋊C4×D11C2211yescharacteristic, complemented
56C2×C4⋊C4×D11C2211yescharacteristic, complemented
57C2×C4⋊C4×D11C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66932C2211yescharacteristic, complemented
68C2×#66932C2211yescharacteristic, complemented
69C2×#66932C2211yescharacteristic, complemented
70C2×#66929C2211yescharacteristic, complemented
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C11×#400C2211yescharacteristic, complemented
74C11×#400C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#386C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#385C2211yescharacteristic, complemented
84C11×#380C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic, complemented
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622825C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic, complemented
94C4×C22⋊Dic11C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622606C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622599C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622595C2211yescharacteristic, complemented
107#10622595C2211yescharacteristic, complemented
108#10622594C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622591C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622566C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622561C2211yescharacteristic, complemented
127#10622561C2211yescharacteristic, complemented
128#10622561C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622555C2211yescharacteristic, complemented
133#10622555C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135C22⋊C4×Dic11C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic, complemented
142#10622288C2211yescharacteristic, complemented
143#10622288C2211yescharacteristic, complemented
144#10622287C2211yescharacteristic, complemented
145#10622283C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic, complemented
147#10622281C2211yescharacteristic, complemented
148#10622281C2211yescharacteristic, complemented
149#10622280C2211yescharacteristic, complemented
150#10622280C2211yescharacteristic, complemented
151#10622279C2211yescharacteristic, complemented
152#10622279C2211yescharacteristic, complemented
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622271C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622268C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—24no—
202C2×D4×D11—24no—
203C22×D44C2311yescharacteristic
204C22×C4×D11—24no—
205C22×C4×D11—24no—
206C22×C4×D11—24no—
207C22×C4×D11—24no—
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C11×#126—24no—
233C2×C11×C4⋊C4—24no—
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×C4⋊Dic11—24no—
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×Dic11⋊C4—24no—
290C2×Dic11⋊C4—24no—
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951—24no—
314#66951—24no—
315#66951—24no—
316C4⋊C4×D11—24no—
317C4⋊C4×D11—24no—
318C4⋊C4×D11—24no—
319C4⋊C4×D11—24no—
320C4⋊C4×D11—24no—
321C4⋊C4×D11—24no—
322C4⋊C4×D11—24no—
323C4⋊C4×D11—24no—
324C4⋊C4×D11—24no—
325C4⋊C4×D11—24no—
326C4⋊C4×D11—42no—
327C4⋊C4×D11D418yescomplemented
328C22⋊C4×D11—24no—
329C22⋊C4×D11—24no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11—24no—
332C22⋊C4×D11—24no—
333C22⋊C4×D11—24no—
334C22⋊C4×D11—24no—
335C22⋊C4×D11—42no—
336C22⋊C4×D11—42no—
337#66932—24no—
338#66932—24no—
339#66932—24no—
340#66929—24no—
341C42×D11—24no—
342C42×D11—42no—
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C2×#2481—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11#4114yes—
406C23×D11#4114yes—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464D4×D11—416no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×C4×D11—232no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—416no—
523C2×C4×D11—416no—
524C2×C4×D11C2×D414yes—
525C2×C4×D11C2×D414yes—
526C2×C4×D11C2×D414yes—
527C2×C4×D11#4114yes—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C4⋊C4—22no—
532C11×C4⋊C4—22no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—41no—
535C11×C4⋊C4C2×D414yescomplemented
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C42×C11—22no—
546C42×C11—41no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—22no—
580C4⋊Dic11—41no—
581C4⋊Dic11C2×D414yescomplemented
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4C2×D414yescomplemented
597Dic11⋊C4C2×D414yescomplemented
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C22×#126—111no—
605C23×C4⋊C4—111no—
606#2481—111no—
607#2481—111no—
608#2481—111no—
609#2481—111no—
610#2481—111no—
611#2481—111no—
612#2481—111no—
613#2481—111no—
614#2481—111no—
615#2481—111no—
616#2481—111no—
617#2481—111no—
618#2481—111no—
619#2481—111no—
620#2481—111no—
621#2481D1111yescharacteristic, direct product factor
622C2×#400—111no—
623C2×#400—111no—
624C2×#397—111no—
625C2×#396—111no—
626C2×#388—111no—
627C2×#387—111no—
628C2×#387—111no—
629C2×#386—111no—
630C2×#386—111no—
631C2×#386—111no—
632C2×#385—111no—
633C2×#380—111no—
634C2×C4×C22⋊C4—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11C2×#4112yes—
647C23×C11C2×#4112yes—
648C23×C11C2×#4112yes—
649C23×C11C2511yescharacteristic
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—28no—
655C22×D11—28no—
656C22×D11—28no—
657C22×D11—28no—
658C22×D11—28no—
659C22×D11—28no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11#126116yescomplemented
675C22×D11C22×D412yes—
676C22×D11C2×#4112yes—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11C2×#4112yes—
682C22×D11C2×#4112yes—
683C22×D11H(5,𝔽2)12yes—
684C22×D112−1+412yes—
685D4×C11—44no—
686C2×C4×C11—28no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—44no—
723C2×C4×C11—44no—
724C2×C4×C11C22×D412yes—
725C2×C4×C11C22×D412yes—
726C2×C4×C11C22×D412yes—
727C2×C4×C11C2×#4112yes—
728C22⋊D11—44no—
729C22⋊D11—44no—
730C2×Dic11—28no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11C22×D412yes—
769C2×Dic11C22×D412yes—
770C2×Dic11C22×D412yes—
771C2×Dic11C2×#4112yes—
772D44—44no—
773C4×D11—28no—
774C4×D11—28no—
775C4×D11—28no—
776C4×D11—28no—
777C4×D11—28no—
778C4×D11—28no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C4×D11—44no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—44no—
791C4×D11—44no—
792C23×D4—111no—
793C24×C4—111no—
794C24×C4—111no—
795C24×C4—111no—
796C2×#126—111no—
797C2×#126—111no—
798C2×#126—111no—
799C2×#126—111no—
800C2×#126—111no—
801C2×#126—111no—
802C2×#126—111no—
803C2×#126—228no—
804C2×#126C2×D1111yescharacteristic, complemented
805C22×C4⋊C4—111no—
806C22×C4⋊C4—111no—
807C22×C4⋊C4—111no—
808C22×C4⋊C4—111no—
809C22×C4⋊C4—111no—
810C22×C4⋊C4—111no—
811C22×C4⋊C4—111no—
812C22×C4⋊C4—111no—
813C22×C4⋊C4—111no—
814C22×C4⋊C4—111no—
815C22×C4⋊C4—111no—
816C22×C4⋊C4—111no—
817C22×C4⋊C4—111no—
818C22×C4⋊C4—111no—
819C22×C4⋊C4—111no—
820C22×C4⋊C4—228no—
821C22×C4⋊C4C2×D1111yescharacteristic, complemented
822C22×C22⋊C4—111no—
823C22×C22⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4—111no—
830C22×C22⋊C4—111no—
831C22×C42—111no—
832C22×C42—111no—
833#400—111no—
834#400—111no—
835#400—111no—
836#400—111no—
837#400—111no—
838#400—111no—
839#400—111no—
840#400—111no—
841#400—111no—
842#400—111no—
843#400—111no—
844#400—111no—
845#400—111no—
846#400—111no—
847#400C2×D1111yescharacteristic, complemented
848#400C2×D1111yescharacteristic, complemented
849#397—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#397—111no—
855#397—111no—
856#397C2×D1111yescharacteristic, complemented
857#396—111no—
858#396—111no—
859#396—111no—
860#396—111no—
861#396—111no—
862#396—111no—
863#396—111no—
864#396C2×D1111yescharacteristic, complemented
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388C2×D1111yescharacteristic, complemented
873#387—111no—
874#387—111no—
875#387—111no—
876#387—111no—
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387C2×D1111yescharacteristic, complemented
888#387C2×D1111yescharacteristic, complemented
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386C2×D1111yescharacteristic
911#386C2×D1111yescharacteristic
912#386C2×D1111yescharacteristic
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385C2×D1111yescharacteristic, complemented
921#380—111no—
922#380—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380C2×D1111yescharacteristic, complemented
929C4×C22⋊C4—111no—
930C4×C22⋊C4—111no—
931C4×C22⋊C4—111no—
932C4×C22⋊C4—111no—
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4C2×D1111yescharacteristic, complemented
937C2×#95—111no—
938C2×#95—111no—
939C2×#95—111no—
940C2×#95—111no—
941C2×#95—111no—
942C2×#95—111no—
943C2×#95—111no—
944C2×#95—111no—
945C2×#95—111no—
946C2×#95—111no—
947C2×#95—111no—
948C2×#95—111no—
949C22×C11—22no—
950C22×C11—22no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11C2×#12614yescomplemented
963C22×C11C23×D411yescharacteristic
964C22×C11C22×#4111yescharacteristic
965C22×C11C22×#4111yescharacteristic
966C22×C11C22×#4111yescharacteristic
967C22×C11C22×#4111yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×2−1+411yescharacteristic
970C2×D11—22no—
971C2×D11—22no—
972C2×D11—22no—
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—232no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—88no—
985C2×D11#52514yes—
986C2×D11C2×#12614yes—
987C2×D11C2×#12614yescomplemented
988C2×D11#53914yes—
989C2×D11#54614yes—
990C2×D11#54814yes—
991C2×D11#55214yes—
992C2×D11#55314yes—
993C4×C11—22no—
994C4×C11—22no—
995C4×C11—22no—
996C4×C11—22no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006Dic11—22no—
1007Dic11—22no—
1008Dic11—22no—
1009Dic11—22no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019C25—111no—
1020C25—111no—
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—224no—
1025C22×D4—224no—
1026C22×D4—224no—
1027C22×D4C22×D1111yescharacteristic
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—224no—
1051C23×C4—224no—
1052C23×C4—224no—
1053C23×C4—224no—
1054C23×C4—224no—
1055C23×C4—224no—
1056C23×C4—224no—
1057C23×C4—442no—
1058C23×C4—442no—
1059C23×C4C22×D1111yescharacteristic
1060C23×C4C22×D1111yescharacteristic
1061C23×C4C22×D1111yescharacteristic
1062#126—24no—
1063#126—224no—
1064#126—224no—
1065#126—224no—
1066#126—224no—
1067#126—224no—
1068#126—224no—
1069#126—224no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—118no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—224no—
1097C2×C4⋊C4—224no—
1098C2×C4⋊C4—224no—
1099C2×C4⋊C4—224no—
1100C2×C4⋊C4—224no—
1101C2×C4⋊C4—224no—
1102C2×C4⋊C4—224no—
1103C2×C4⋊C4—224no—
1104C2×C4⋊C4—224no—
1105C2×C4⋊C4—224no—
1106C2×C4⋊C4—224no—
1107C2×C4⋊C4—224no—
1108C2×C4⋊C4—224no—
1109C2×C4⋊C4—442no—
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C4⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—224no—
1147C2×C22⋊C4—224no—
1148C2×C22⋊C4—224no—
1149C2×C22⋊C4—224no—
1150C2×C22⋊C4—224no—
1151C2×C22⋊C4—224no—
1152C2×C22⋊C4—442no—
1153C2×C22⋊C4—442no—
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—224no—
1170C2×C42—442no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221C2×C11—24no—
1222C2×C11—81no—
1223C2×C11C2×#52511yescharacteristic
1224C2×C11C22×#12611yescharacteristic
1225C2×C11C2×#53911yescharacteristic
1226C2×C11C2×#54611yescharacteristic
1227C2×C11C2×#54811yescharacteristic
1228C2×C11C2×#55211yescharacteristic
1229C2×C11C2×#55311yescharacteristic
1230D11—24no—
1231D11—81no—
1232D11#248118yesdirect product factor
1233C24—111no—
1234C24—114no—
1235C24—114no—
1236C24—114no—
1237C24—111no—
1238C24—111no—
1239C24—222no—
1240C24—222no—
1241C24—222no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—222no—
1249C24—222no—
1250C24C23×D1111yescharacteristic
1251C24C23×D1111yescharacteristic
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—222no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—4416no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—114no—
1279C22×C4—114no—
1280C22×C4—114no—
1281C22×C4—114no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—2232no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—4416no—
1353C22×C4—4416no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—114no—
1377C4⋊C4—114no—
1378C4⋊C4—114no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—441no—
1398C4⋊C4—441no—
1399C4⋊C4—441no—
1400C4⋊C4D4×D1114yescomplemented
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C42—22no—
1438C42—41no—
1439C42—222no—
1440C42—222no—
1441C42—222no—
1442C42—441no—
1443C42—441no—
1444C42—441no—
1445C11C2×#248111yescharacteristic, complemented, Sylow
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—112no—
1458C23—112no—
1459C23—112no—
1460C23—112no—
1461C23—112no—
1462C23—112no—
1463C23—112no—
1464C23—1116no—
1465C23—112no—
1466C23—112no—
1467C23—112no—
1468C23—228no—
1469C23—228no—
1470C23—228no—
1471C23—228no—
1472C23—228no—
1473C23—228no—
1474C23—221no—
1475C23—221no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—444no—
1486C23—444no—
1487C23—444no—
1488C23—444no—
1489C23—444no—
1490C23—444no—
1491C23—444no—
1492C23#41×D1112yes—
1493C23#41×D1112yes—
1494C23#41×D1112yes—
1495C23C24×D1111yescharacteristic
1496D4—44no—
1497D4—444no—
1498D4—444no—
1499D4—444no—
1500C2×C4—28no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—112no—
1539C2×C4—112no—
1540C2×C4—112no—
1541C2×C4—112no—
1542C2×C4—228no—
1543C2×C4—228no—
1544C2×C4—228no—
1545C2×C4—228no—
1546C2×C4—228no—
1547C2×C4—228no—
1548C2×C4—228no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—444no—
1585C2×C4—444no—
1586C2×C4—444no—
1587C2×C4—444no—
1588C2×C4—444no—
1589C2×C4—444no—
1590C2×C4—444no—
1591C2×C4—444no—
1592C2×C4—444no—
1593C2×C4—444no—
1594C2×C4—444no—
1595C2×C4—444no—
1596C2×C4—444no—
1597C2×C4—444no—
1598C2×C4—444no—
1599C2×C4C2×D4×D1112yes—
1600C2×C4C2×D4×D1112yes—
1601C2×C4C2×D4×D1112yes—
1602C2×C4#41×D1112yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—114no—
1617C22—114no—
1618C22—114no—
1619C22—114no—
1620C22—114no—
1621C22—114no—
1622C22—114no—
1623C22—114no—
1624C22—2232no—
1625C22—222no—
1626C22—222no—
1627C22—222no—
1628C22—222no—
1629C22—222no—
1630C22—222no—
1631C22—441no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—888no—
1639C22D11×#12614yescomplemented
1640C22C22×D4×D1111yescharacteristic
1641C22C2×#41×D1111yescharacteristic
1642C22C2×#41×D1111yescharacteristic
1643C22C2×#41×D1111yescharacteristic
1644C22C2×#41×D1111yescharacteristic
1645C22D11×H(5,𝔽2)11yescharacteristic
1646C22D11×2−1+411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—222no—
1661C4—222no—
1662C4—222no—
1663C4—222no—
1664C4—441no—
1665C4—441no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C4—441no—
1672C4—441no—
1673C2—24no—
1674C2—81no—
1675C2—118no—
1676C2—224no—
1677C2—881no—
1678C2D11×#52511yescharacteristic
1679C2C2×D11×#12611yescharacteristic
1680C2D11×#53911yescharacteristic
1681C2D11×#54611yescharacteristic
1682C2D11×#54811yescharacteristic
1683C2D11×#55211yescharacteristic
1684C2D11×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2481C2
prime radicalC22×D4×D11C22
hypercenter#2481D11
hypocenterC11C2×#2481
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×D11×#126C2semidirect
2. C22×C4⋊C4×D11C2semidirect
3. #13072884C2semidirect
4. #13072883C2semidirect
5. #13072882C2semidirect
6. #13072881C2semidirect
7. #13072880C2semidirect
8. #13072879C2semidirect
9. #13072878C2semidirect
10. #13072877C2semidirect
11. #13072876C2semidirect
12. #13072875C2semidirect
13. #13072874C2semidirect
14. #13072873C2semidirect
15. #13072872C2semidirect
16. #13072871C2semidirect
17. #13072870C2semidirect
18. D11×#400C2semidirect
19. D11×#400C2semidirect
20. D11×#397C2semidirect
21. D11×#396C2semidirect
22. D11×#388C2semidirect
23. D11×#387C2semidirect
24. D11×#387C2semidirect
28. D11×#385C2semidirect
29. D11×#380C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2481C2semidirect
36. C2×C11×#126C22semidirect
37. C22×C11×C4⋊C4C22semidirect
38. C22×C4⋊Dic11C22semidirect
39. C22×Dic11⋊C4C22semidirect
40. C22×Dic11⋊C4C22semidirect
42. C2×#66951C22semidirect
43. C2×#66951C22semidirect
44. C2×#66951C22semidirect
54. C2×C4⋊C4×D11C22semidirect
55. C2×C4⋊C4×D11C22semidirect
56. C2×C4⋊C4×D11C22semidirect
57. C2×C4⋊C4×D11C22semidirect
67. C2×#66932C22semidirect
68. C2×#66932C22semidirect
69. C2×#66932C22semidirect
70. C2×#66929C22semidirect
73. C11×#400C22semidirect
74. C11×#400C22semidirect
75. C11×#397C22semidirect
76. C11×#396C22semidirect
77. C11×#388C22semidirect
78. C11×#387C22semidirect
79. C11×#387C22semidirect
83. C11×#385C22semidirect
84. C11×#380C22semidirect
85. C4×C11×C22⋊C4C22semidirect
92. #10622825C22semidirect
93. #10622823C22semidirect
94. C4×C22⋊Dic11C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622607C22semidirect
98. #10622606C22semidirect
99. #10622603C22semidirect
100. #10622602C22semidirect
101. #10622602C22semidirect
102. #10622600C22semidirect
103. #10622600C22semidirect
104. #10622599C22semidirect
105. #10622599C22semidirect
106. #10622595C22semidirect
107. #10622595C22semidirect
108. #10622594C22semidirect
109. #10622594C22semidirect
110. #10622591C22semidirect
111. #10622591C22semidirect
121. #10622566C22semidirect
122. #10622565C22semidirect
123. #10622565C22semidirect
124. #10622564C22semidirect
125. #10622563C22semidirect
126. #10622561C22semidirect
127. #10622561C22semidirect
128. #10622561C22semidirect
129. #10622559C22semidirect
130. #10622558C22semidirect
131. #10622557C22semidirect
132. #10622555C22semidirect
133. #10622555C22semidirect
134. C22⋊C4×Dic11C22semidirect
135. C22⋊C4×Dic11C22semidirect
136. #10622553C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622289C22semidirect
142. #10622288C22semidirect
143. #10622288C22semidirect
144. #10622287C22semidirect
145. #10622283C22semidirect
146. #10622282C22semidirect
147. #10622281C22semidirect
148. #10622281C22semidirect
149. #10622280C22semidirect
150. #10622280C22semidirect
151. #10622279C22semidirect
152. #10622279C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622273C22semidirect
175. #10622272C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622271C22semidirect
181. #10622268C22semidirect
182. #10622268C22semidirect
183. #10622267C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622266C22semidirect
187. #10622265C22semidirect
188. #10622265C22semidirect
327. C4⋊C4×D11D4semidirect
535. C11×C4⋊C4C2×D4semidirect
581. C4⋊Dic11C2×D4semidirect
596. Dic11⋊C4C2×D4semidirect
597. Dic11⋊C4C2×D4semidirect
621. #2481D11direct (N × H)
674. C22×D11#126semidirect
804. C2×#126C2×D11semidirect
821. C22×C4⋊C4C2×D11semidirect
847. #400C2×D11semidirect
848. #400C2×D11semidirect
856. #397C2×D11semidirect
864. #396C2×D11semidirect
872. #388C2×D11semidirect
887. #387C2×D11semidirect
888. #387C2×D11semidirect
920. #385C2×D11semidirect
928. #380C2×D11semidirect
936. C4×C22⋊C4C2×D11semidirect
962. C22×C11C2×#126semidirect
987. C2×D11C2×#126semidirect
1232. D11#2481direct (N × H)
1400. C4⋊C4D4×D11semidirect
1445. C11C2×#2481semidirect
1639. C22D11×#126semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1262
C22×C4⋊C4×D112
#130728842
#130728832
#130728822
#130728812
#130728802
#130728792
#130728782
#130728772
#130728762
#130728752
#130728742
#130728732
#130728722
#130728712
#130728702
D11×#4002
D11×#3972
D11×#3962
D11×#3882
D11×#3872
D11×#3862
D11×#3852
D11×#3802
C4×C22⋊C4×D112
C11×#24812
C2×#248111