Finite Group Databasebeta

← D11×#2450 #14921519

Subgroups — D11×#2450 #14921519

Order 2816.

3374 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic
3#13072447C211yesmaximal, characteristic, complemented
4#13072446C211yesmaximal, characteristic, complemented
5#13072445C211yesmaximal, characteristic, complemented
6#13072444C211yesmaximal, characteristic, complemented
7#13072443C211yesmaximal, characteristic, complemented
8#13072442C211yesmaximal, characteristic, complemented
9#13072441C211yesmaximal, characteristic, complemented
10#13072440C211yesmaximal, characteristic, complemented
11#13072439C211yesmaximal, characteristic, complemented
12#13072438C211yesmaximal, characteristic, complemented
13#13072437C211yesmaximal, characteristic, complemented
14#13072436C211yesmaximal, characteristic, complemented
15#13072435C211yesmaximal, characteristic, complemented
16#13072434C211yesmaximal, characteristic, complemented
17#13072433C211yesmaximal, characteristic, complemented
18D11×#400C211yesmaximal, characteristic, complemented
19D11×#398C211yesmaximal, characteristic, complemented
20D11×#396C211yesmaximal, characteristic, complemented
21D11×#393C211yesmaximal, characteristic, complemented
22D11×#391C211yesmaximal, characteristic, complemented
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#386C211yesmaximal, characteristic
25D11×#386C211yesmaximal, characteristic
26D11×#385C211yesmaximal, characteristic, complemented
27D11×#385C211yesmaximal, characteristic, complemented
28D11×#385C211yesmaximal, characteristic, complemented
29D11×#380C211yesmaximal, characteristic, complemented
30C2×D11×#95C211yesmaximal, characteristic, complemented
31C11×#2450C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C23×C4×D11C2211yescharacteristic
37C23×C4×D11C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic, complemented
39C2×C4×D4×C11C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×D4×Dic11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×#66977C2211yescharacteristic, complemented
45D11×C22⋊Q8—28no—
46C4×D4×D11—28no—
47C2×#66950C2211yescharacteristic, complemented
48C2×#66949C2211yescharacteristic, complemented
49C2×#66949C2211yescharacteristic, complemented
50C2×#66946C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×C4⋊C4×D11C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
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×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×#66931C2211yescharacteristic, complemented
70C2×#66931C2211yescharacteristic, complemented
71C2×C4×D44C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C11×#400C2211yescharacteristic, complemented
74C11×#398C2211yescharacteristic, complemented
75C11×#396C2211yescharacteristic, complemented
76C11×#393C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#385C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic, complemented
83C11×#385C2211yescharacteristic, complemented
84C11×#380C2211yescharacteristic, complemented
85C2×C11×#95C2211yescharacteristic, complemented
86#10622844C2211yescharacteristic, complemented
87#10622843C2211yescharacteristic, complemented
88#10622833C2211yescharacteristic
89#10622833C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic
92#10622825C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96C2×C11⋊#95C2211yescharacteristic, complemented
97C2×C11⋊#95C2211yescharacteristic, complemented
98C2×C11⋊#95C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622599C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622596C2211yescharacteristic, complemented
114#10622595C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622591C2211yescharacteristic, complemented
118#10622587C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic
120#10622571C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622563C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622561C2211yescharacteristic, complemented
129#10622561C2211yescharacteristic, complemented
130#10622561C2211yescharacteristic, complemented
131#10622560C2211yescharacteristic, complemented
132#10622560C2211yescharacteristic, complemented
133#10622560C2211yescharacteristic, complemented
134#10622559C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic, complemented
136#10622559C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138#10622555C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622542C2211yescharacteristic, complemented
141#10622289C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622286C2211yescharacteristic, complemented
144#10622286C2211yescharacteristic, complemented
145#10622281C2211yescharacteristic, complemented
146#10622281C2211yescharacteristic, complemented
147#10622281C2211yescharacteristic, complemented
148#10622281C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622280C2211yescharacteristic, complemented
152#10622280C2211yescharacteristic, complemented
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic, complemented
172D11×#95C2211yescharacteristic, complemented
173#10622274C2211yescharacteristic, complemented
174#10622273C2211yescharacteristic, complemented
175#10622273C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C2×Q8×D11—24no—
204C2×Q8×D11—24no—
205C2×Q8×D11—42no—
206C2×D4×D11—24no—
207C2×D4×D11—24no—
208C2×D4×D11Q818yescomplemented
209C22×D44C2311yescharacteristic
210C22×C4×D11—24no—
211C22×C4×D11—24no—
212C22×C4×D11—24no—
213C22×C4×D11—24no—
214C22×C4×D11—24no—
215C22×C4×D11—24no—
216C22×C4×D11—24no—
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11—42no—
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
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×C4×D11C2311yescharacteristic
238C22×C4×D11C2311yescharacteristic
239C22×C4×D11C2311yescharacteristic
240C22×C4×D11C2311yescharacteristic
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×Dic22C2311yescharacteristic
244C22×Dic22C2311yescharacteristic
245C22×Dic22C2311yescharacteristic
246C11×C22⋊Q8—24no—
247C4×D4×C11—24no—
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273#66999—24no—
274D4×Dic11—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301#66977—24no—
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321#66950—24no—
322#66949—24no—
323#66949—24no—
324#66946—24no—
325C4⋊C4×D11—24no—
326C4⋊C4×D11—24no—
327C4⋊C4×D11—24no—
328C4⋊C4×D11—24no—
329C4⋊C4×D11—24no—
330C4⋊C4×D11—42no—
331C4⋊C4×D11—42no—
332C4⋊C4×D11—42no—
333(C22⋊D11)⋊C4—24no—
334(C22⋊D11)⋊C4—24no—
335C22⋊C4×D11—24no—
336C22⋊C4×D11—24no—
337C22⋊C4×D11—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—42no—
340C22⋊C4×D11—42no—
341C22⋊C4×D11—42no—
342C22⋊C4×D11D418yes—
343#66931—24no—
344#66931—24no—
345C4×D44—24no—
346C42×D11—24no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C2×#2450—111nomaximal, Sylow
396C24×C11C2411yescharacteristic
397C24×C11C2411yescharacteristic
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11—22no—
408C23×D11C2×D414yes—
409C23×D11C2×Q814yes—
410C23×D11C2×Q814yes—
411C23×D11#4114yes—
412C23×D11C2411yescharacteristic
413C23×D11C2411yescharacteristic
414C23×D11C2411yescharacteristic
415C2×Q8×C11—22no—
416C2×Q8×C11—22no—
417C2×Q8×C11—41no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11C2×Q814yescomplemented
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11C2×Q814yescomplemented
451C2×C22⋊D11C2×Q814yescomplemented
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477Q8×D11—416no—
478D4×D11—232no—
479C2×D44—22no—
480C2×D44—22no—
481C2×D44C2×Q814yescomplemented
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—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—22no—
525C2×C4×D11—22no—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—41no—
539C2×C4×D11—41no—
540C2×C4×D11—416no—
541C2×C4×D11—416no—
542C2×C4×D11—416no—
543C2×C4×D11—416no—
544C2×C4×D11C2×D414yes—
545C2×C4×D11C2×D414yes—
546C2×C4×D11C2×Q814yes—
547C2×C4×D11#4114yes—
548C2×C4×D11#4114yes—
549C2×Dic22—22no—
550C2×Dic22—22no—
551C2×Dic22—22no—
552C2×Dic22—22no—
553C2×Dic22—22no—
554C2×Dic22—22no—
555C2×Dic22—41no—
556C2×Dic22—41no—
557C2×Dic22—41no—
558C11×C4⋊C4—22no—
559C11×C4⋊C4—22no—
560C11×C4⋊C4—22no—
561C11×C4⋊C4—22no—
562C11×C4⋊C4—22no—
563C11×C4⋊C4—41no—
564C11×C4⋊C4—41no—
565C11×C4⋊C4—41no—
566C11×C22⋊C4—22no—
567C11×C22⋊C4—22no—
568C11×C22⋊C4—22no—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—41no—
571C11×C22⋊C4—41no—
572C11×C22⋊C4—41no—
573C11×C22⋊C4C2×D414yes—
574C42×C11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—22no—
578C22⋊Dic11—22no—
579C22⋊Dic11—41no—
580C22⋊Dic11—41no—
581C22⋊Dic11—41no—
582C22⋊Dic11C2×D414yes—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4C2×D414yes—
598(C2×D11)⋊C4C2×D414yes—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—22no—
603C4⋊Dic11—22no—
604C4⋊Dic11—41no—
605C4⋊Dic11—41no—
606C4⋊Dic11—41no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—22no—
615Dic11⋊C4—22no—
616Dic11⋊C4—22no—
617Dic11⋊C4—41no—
618Dic11⋊C4—41no—
619Dic11⋊C4—41no—
620Dic11⋊C4—41no—
621Dic11⋊C4—41no—
622Dic11⋊C4—41no—
623C4×Dic11—22no—
624C4×Dic11—22no—
625C4×Dic11—22no—
626C22×C22⋊Q8—111no—
627C22×C4×D4—111no—
628#2450—111no—
629#2450—111no—
630#2450—111no—
631#2450—111no—
632#2450—111no—
633#2450—111no—
634#2450—111no—
635#2450—111no—
636#2450—111no—
637#2450—111no—
638#2450—111no—
639#2450—111no—
640#2450—111no—
641#2450—111no—
642#2450—111no—
643#2450D1111yescharacteristic, direct product factor
644C2×#400—111no—
645C2×#398—111no—
646C2×#396—111no—
647C2×#393—111no—
648C2×#391—111no—
649C2×#387—111no—
650C2×#386—111no—
651C2×#386—111no—
652C2×#385—111no—
653C2×#385—111no—
654C2×#385—111no—
655C2×#380—111no—
656C22×#95—111no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11C22×D412yes—
668C23×C11C22×Q812yes—
669C23×C11C22×Q812yes—
670C23×C11C2×#4112yes—
671C23×C11C2511yescharacteristic
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—28no—
677C22×D11—28no—
678C22×D11—28no—
679C22×D11—28no—
680C22×D11—28no—
681C22×D11—28no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—28no—
689C22×D11—28no—
690C22×D11—28no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11C22⋊Q8116yes—
696C22×D11C22×D412yes—
697C22×D11C22×D412yes—
698C22×D11C22×Q812yes—
699C22×D11C22×Q812yes—
700C22×D11C22×Q812yes—
701C22×D11C2×#4112yes—
702C22×D11C2×#4112yes—
703C22×D11C2×#4112yes—
704C22×D11C2×#4112yes—
705C22×D11H(5,𝔽2)12yes—
706C22×D11H(5,𝔽2)12yes—
707Q8×C11—44no—
708D4×C11—28no—
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—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—44no—
744C2×C4×C11—44no—
745C2×C4×C11—44no—
746C2×C4×C11—44no—
747C2×C4×C11C22×D412yes—
748C2×C4×C11C22×D412yes—
749C2×C4×C11C22×Q812yes—
750C2×C4×C11C2×#4112yes—
751C2×C4×C11C2×#4112yes—
752C22⋊D11—28no—
753C22⋊D11—28no—
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—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—44no—
789C2×Dic11—44no—
790C2×Dic11—44no—
791C2×Dic11—44no—
792C2×Dic11C22×D412yes—
793C2×Dic11C22×D412yes—
794C2×Dic11C22×Q812yes—
795C2×Dic11C2×#4112yes—
796C2×Dic11C2×#4112yes—
797D44—28no—
798C4×D11—28no—
799C4×D11—28no—
800C4×D11—28no—
801C4×D11—28no—
802C4×D11—28no—
803C4×D11—44no—
804C4×D11—44no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—44no—
818C4×D11—44no—
819Dic22—44no—
820Dic22—44no—
821Dic22—44no—
822C23×Q8—111no—
823C23×D4—111no—
824C24×C4—111no—
825C24×C4—111no—
826C24×C4—111no—
827C24×C4—111no—
828C2×C22⋊Q8—111no—
829C2×C22⋊Q8—111no—
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×C22⋊Q8—111no—
835C2×C22⋊Q8—228no—
836C2×C22⋊Q8C2×D1111yescharacteristic, complemented
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C2×C4×D4—111no—
840C2×C4×D4—111no—
841C2×C4×D4—111no—
842C2×C4×D4—111no—
843C2×C4×D4—111no—
844C2×C4×D4—228no—
845C2×C4×D4C2×D1111yescharacteristic
846C22×C4⋊C4—111no—
847C22×C4⋊C4—111no—
848C22×C4⋊C4—111no—
849C22×C4⋊C4—111no—
850C22×C4⋊C4—111no—
851C22×C4⋊C4—111no—
852C22×C4⋊C4—111no—
853C22×C4⋊C4—111no—
854C22×C22⋊C4—111no—
855C22×C22⋊C4—111no—
856C22×C22⋊C4—111no—
857C22×C22⋊C4—111no—
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862C22×C42—111no—
863#400—111no—
864#400—111no—
865#400—111no—
866#400—111no—
867#400—111no—
868#400—111no—
869#400—111no—
870#400C2×D1111yescharacteristic, complemented
871#398—111no—
872#398—111no—
873#398—111no—
874#398—111no—
875#398—111no—
876#398—111no—
877#398—111no—
878#398C2×D1111yescharacteristic, complemented
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396—111no—
885#396—111no—
886#396C2×D1111yescharacteristic, complemented
887#393—111no—
888#393—111no—
889#393—111no—
890#393—111no—
891#393—111no—
892#393—111no—
893#393—111no—
894#393C2×D1111yescharacteristic, complemented
895#391—111no—
896#391—111no—
897#391—111no—
898#391—111no—
899#391—111no—
900#391—111no—
901#391—111no—
902#391C2×D1111yescharacteristic, complemented
903#387—111no—
904#387—111no—
905#387—111no—
906#387—111no—
907#387—111no—
908#387—111no—
909#387—111no—
910#387C2×D1111yescharacteristic, complemented
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386C2×D1111yescharacteristic
926#386C2×D1111yescharacteristic
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385—111no—
938#385—111no—
939#385—111no—
940#385—111no—
941#385—111no—
942#385—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385C2×D1111yescharacteristic, complemented
949#385C2×D1111yescharacteristic, complemented
950#385C2×D1111yescharacteristic, complemented
951#380—111no—
952#380—111no—
953#380—111no—
954#380—111no—
955#380—111no—
956#380—111no—
957#380—111no—
958#380C2×D1111yescharacteristic, complemented
959C2×#95—111no—
960C2×#95—111no—
961C2×#95—111no—
962C2×#95—111no—
963C2×#95—111no—
964C2×#95—111no—
965C2×#95—111no—
966C2×#95—111no—
967C2×#95—111no—
968C2×#95—111no—
969C2×#95—111no—
970C2×#95—111no—
971C2×#95—111no—
972C2×#95—111no—
973C2×#95—111no—
974C2×#95—111no—
975C2×#95—111no—
976C2×#95—111no—
977C2×#95—111no—
978C2×#95C2×D1111yescharacteristic, complemented
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—22no—
986C22×C11—22no—
987C22×C11—22no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11C2×C22⋊Q814yes—
993C22×C11C23×D411yescharacteristic
994C22×C11C23×Q811yescharacteristic
995C22×C11C22×#4111yescharacteristic
996C22×C11C22×#4111yescharacteristic
997C22×C11C22×#4111yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11C2×H(5,𝔽2)11yescharacteristic
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—22no—
1004C2×D11—22no—
1005C2×D11—22no—
1006C2×D11—232no—
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—416no—
1015C2×D11C2×C22⋊Q814yes—
1016C2×D11C2×C22⋊Q814yes—
1017C2×D11#52914yes—
1018C2×D11#53814yes—
1019C2×D11#54614yes—
1020C2×D11#54614yes—
1021C2×D11#55414yes—
1022C2×D11#55414yes—
1023C4×C11—22no—
1024C4×C11—22no—
1025C4×C11—22no—
1026C4×C11—22no—
1027C4×C11—22no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036Dic11—22no—
1037Dic11—22no—
1038Dic11—22no—
1039Dic11—22no—
1040Dic11—22no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049C25—111no—
1050C25—111no—
1051C22×Q8—111no—
1052C22×Q8—111no—
1053C22×Q8—111no—
1054C22×Q8—224no—
1055C22×Q8—224no—
1056C22×Q8—442no—
1057C22×Q8C22×D1111yescharacteristic
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—118no—
1061C22×D4—111no—
1062C22×D4—224no—
1063C22×D4—224no—
1064C22×D4C22×D1111yescharacteristic
1065C23×C4—111no—
1066C23×C4—111no—
1067C23×C4—111no—
1068C23×C4—111no—
1069C23×C4—111no—
1070C23×C4—111no—
1071C23×C4—111no—
1072C23×C4—111no—
1073C23×C4—111no—
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—224no—
1091C23×C4—224no—
1092C23×C4—224no—
1093C23×C4—224no—
1094C23×C4—224no—
1095C23×C4—224no—
1096C23×C4—224no—
1097C23×C4—442no—
1098C23×C4—442no—
1099C23×C4—442no—
1100C23×C4—442no—
1101C23×C4—442no—
1102C23×C4C22×D1111yescharacteristic
1103C23×C4C22×D1111yescharacteristic
1104C23×C4C22×D1111yescharacteristic
1105C23×C4C22×D1111yescharacteristic
1106C22⋊Q8—24no—
1107C22⋊Q8—224no—
1108C22⋊Q8—224no—
1109C22⋊Q8—224no—
1110C22⋊Q8—224no—
1111C22⋊Q8—224no—
1112C22⋊Q8—224no—
1113C22⋊Q8—224no—
1114C4×D4—24no—
1115C4×D4—224no—
1116C4×D4—224no—
1117C4×D4—224no—
1118C4×D4—224no—
1119C4×D4—224no—
1120C4×D4—224no—
1121C4×D4—224no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—224no—
1147C2×C4⋊C4—224no—
1148C2×C4⋊C4—224no—
1149C2×C4⋊C4—224no—
1150C2×C4⋊C4—224no—
1151C2×C4⋊C4—442no—
1152C2×C4⋊C4—442no—
1153C2×C4⋊C4—442no—
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C4⋊C4C22×D1111yescharacteristic
1156C2×C4⋊C4C22×D1111yescharacteristic
1157C2×C4⋊C4C22×D1111yescharacteristic
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—118no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—224no—
1188C2×C22⋊C4—224no—
1189C2×C22⋊C4—224no—
1190C2×C22⋊C4—224no—
1191C2×C22⋊C4—442no—
1192C2×C22⋊C4—442no—
1193C2×C22⋊C4—442no—
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—224no—
1206C2×C42C22×D1111yescharacteristic
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—24no—
1256C2×C11—42no—
1257C2×C11C22×C22⋊Q811yescharacteristic
1258C2×C11C2×#52911yescharacteristic
1259C2×C11C2×#53811yescharacteristic
1260C2×C11C2×#54611yescharacteristic
1261C2×C11C2×#54611yescharacteristic
1262C2×C11C2×#55411yescharacteristic
1263C2×C11C2×#55411yescharacteristic
1264D11—24no—
1265D11—42no—
1266D11#245018yesdirect product factor
1267C24—111no—
1268C24—114no—
1269C24—114no—
1270C24—114no—
1271C24—111no—
1272C24—114no—
1273C24—111no—
1274C24—222no—
1275C24—222no—
1276C24—222no—
1277C24—222no—
1278C24—222no—
1279C24—222no—
1280C24—222no—
1281C24—222no—
1282C24—222no—
1283C24—222no—
1284C24C23×D1111yescharacteristic
1285C24C23×D1111yescharacteristic
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—41no—
1289C2×Q8—222no—
1290C2×Q8—222no—
1291C2×Q8—222no—
1292C2×Q8—222no—
1293C2×Q8—222no—
1294C2×Q8—222no—
1295C2×Q8—441no—
1296C2×Q8—441no—
1297C2×Q8—441no—
1298C2×Q8—4416no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—114no—
1302C2×D4—114no—
1303C2×D4—114no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—2232no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4Q8×D1114yescomplemented
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—114no—
1330C22×C4—114no—
1331C22×C4—114no—
1332C22×C4—114no—
1333C22×C4—114no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—222no—
1390C22×C4—222no—
1391C22×C4—222no—
1392C22×C4—222no—
1393C22×C4—222no—
1394C22×C4—222no—
1395C22×C4—222no—
1396C22×C4—222no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—441no—
1402C22×C4—441no—
1403C22×C4—441no—
1404C22×C4—441no—
1405C22×C4—441no—
1406C22×C4—441no—
1407C22×C4—4416no—
1408C22×C4—4416no—
1409C22×C4—4416no—
1410C22×C4—4416no—
1411C22×C4—441no—
1412C22×C4—441no—
1413C22×C4—441no—
1414C22×C4—441no—
1415C22×C4—441no—
1416C22×C4C23×D1111yescharacteristic
1417C22×C4C23×D1111yescharacteristic
1418C22×C4C23×D1111yescharacteristic
1419C22×C4C23×D1111yescharacteristic
1420C22×C4C23×D1111yescharacteristic
1421C22×C4C23×D1111yescharacteristic
1422C22×C4C23×D1111yescharacteristic
1423C22×C4C23×D1111yescharacteristic
1424C22×C4C23×D1111yescharacteristic
1425C22×C4C23×D1111yescharacteristic
1426C22×C4C23×D1111yescharacteristic
1427C22×C4C23×D1111yescharacteristic
1428C22×C4C23×D1111yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—222no—
1438C4⋊C4—222no—
1439C4⋊C4—222no—
1440C4⋊C4—222no—
1441C4⋊C4—222no—
1442C4⋊C4—222no—
1443C4⋊C4—222no—
1444C4⋊C4—222no—
1445C4⋊C4—222no—
1446C4⋊C4—222no—
1447C4⋊C4—222no—
1448C4⋊C4—222no—
1449C4⋊C4—222no—
1450C4⋊C4—222no—
1451C4⋊C4—222no—
1452C4⋊C4—441no—
1453C4⋊C4—441no—
1454C4⋊C4—441no—
1455C4⋊C4—441no—
1456C4⋊C4—441no—
1457C4⋊C4—441no—
1458C4⋊C4—441no—
1459C4⋊C4—441no—
1460C4⋊C4—441no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—114no—
1469C22⋊C4—114no—
1470C22⋊C4—114no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—222no—
1482C22⋊C4—222no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4D4×D1114yes—
1493C42—22no—
1494C42—222no—
1495C42—222no—
1496C42—222no—
1497C11C2×#245011yescharacteristic, complemented, Sylow
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—112no—
1509C23—112no—
1510C23—112no—
1511C23—112no—
1512C23—112no—
1513C23—112no—
1514C23—112no—
1515C23—1116no—
1516C23—112no—
1517C23—112no—
1518C23—112no—
1519C23—112no—
1520C23—228no—
1521C23—228no—
1522C23—228no—
1523C23—228no—
1524C23—228no—
1525C23—228no—
1526C23—228no—
1527C23—228no—
1528C23—228no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—444no—
1540C23—444no—
1541C23—444no—
1542C23—444no—
1543C23C2×D4×D1112yes—
1544C23C2×Q8×D1112yes—
1545C23C2×Q8×D1112yes—
1546C23#41×D1112yes—
1547C23C24×D1111yescharacteristic
1548Q8—44no—
1549Q8—444no—
1550Q8—444no—
1551Q8—444no—
1552D4—28no—
1553D4—228no—
1554D4—228no—
1555D4—228no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—112no—
1595C2×C4—112no—
1596C2×C4—112no—
1597C2×C4—112no—
1598C2×C4—112no—
1599C2×C4—228no—
1600C2×C4—228no—
1601C2×C4—228no—
1602C2×C4—228no—
1603C2×C4—228no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—444no—
1639C2×C4—444no—
1640C2×C4—444no—
1641C2×C4—444no—
1642C2×C4—444no—
1643C2×C4—444no—
1644C2×C4—444no—
1645C2×C4—444no—
1646C2×C4—444no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—444no—
1657C2×C4—444no—
1658C2×C4C2×D4×D1112yes—
1659C2×C4C2×D4×D1112yes—
1660C2×C4C2×Q8×D1112yes—
1661C2×C4#41×D1112yes—
1662C2×C4#41×D1112yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—114no—
1677C22—114no—
1678C22—114no—
1679C22—114no—
1680C22—114no—
1681C22—114no—
1682C22—114no—
1683C22—114no—
1684C22—2232no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—4416no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22D11×C22⋊Q814yes—
1700C22C22×D4×D1111yescharacteristic
1701C22C22×Q8×D1111yescharacteristic
1702C22C2×#41×D1111yescharacteristic
1703C22C2×#41×D1111yescharacteristic
1704C22C2×#41×D1111yescharacteristic
1705C22D11×H(5,𝔽2)11yescharacteristic
1706C22D11×H(5,𝔽2)11yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—222no—
1721C4—222no—
1722C4—222no—
1723C4—222no—
1724C4—222no—
1725C4—441no—
1726C4—441no—
1727C4—441no—
1728C4—441no—
1729C4—441no—
1730C4—441no—
1731C4—441no—
1732C4—441no—
1733C2—24no—
1734C2—42no—
1735C2—118no—
1736C2—224no—
1737C2—442no—
1738C2C2×D11×C22⋊Q811yescharacteristic
1739C2D11×#52911yescharacteristic
1740C2D11×#53811yescharacteristic
1741C2D11×#54611yescharacteristic
1742C2D11×#54611yescharacteristic
1743C2D11×#55411yescharacteristic
1744C2D11×#55411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2450C2
prime radicalC22×D4×D11C22
hypercenter#2450D11
hypocenterC11C2×#2450
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×D11×C22⋊Q8C2semidirect
3. #13072447C2semidirect
4. #13072446C2semidirect
5. #13072445C2semidirect
6. #13072444C2semidirect
7. #13072443C2semidirect
8. #13072442C2semidirect
9. #13072441C2semidirect
10. #13072440C2semidirect
11. #13072439C2semidirect
12. #13072438C2semidirect
13. #13072437C2semidirect
14. #13072436C2semidirect
15. #13072435C2semidirect
16. #13072434C2semidirect
17. #13072433C2semidirect
18. D11×#400C2semidirect
19. D11×#398C2semidirect
20. D11×#396C2semidirect
21. D11×#393C2semidirect
22. D11×#391C2semidirect
23. D11×#387C2semidirect
26. D11×#385C2semidirect
27. D11×#385C2semidirect
28. D11×#385C2semidirect
29. D11×#380C2semidirect
30. C2×D11×#95C2semidirect
31. C11×#2450C2semidirect
38. C2×C11×C22⋊Q8C22semidirect
40. C2×#66999C22semidirect
44. C2×#66977C22semidirect
47. C2×#66950C22semidirect
48. C2×#66949C22semidirect
49. C2×#66949C22semidirect
69. C2×#66931C22semidirect
70. C2×#66931C22semidirect
73. C11×#400C22semidirect
74. C11×#398C22semidirect
75. C11×#396C22semidirect
76. C11×#393C22semidirect
77. C11×#391C22semidirect
78. C11×#387C22semidirect
81. C11×#385C22semidirect
82. C11×#385C22semidirect
83. C11×#385C22semidirect
84. C11×#380C22semidirect
85. C2×C11×#95C22semidirect
86. #10622844C22semidirect
87. #10622843C22semidirect
92. #10622825C22semidirect
93. #10622823C22semidirect
94. #10622823C22semidirect
95. #10622823C22semidirect
96. C2×C11⋊#95C22semidirect
97. C2×C11⋊#95C22semidirect
98. C2×C11⋊#95C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
108. #10622600C22semidirect
109. #10622600C22semidirect
110. #10622599C22semidirect
111. #10622597C22semidirect
112. #10622597C22semidirect
113. #10622596C22semidirect
114. #10622595C22semidirect
115. #10622594C22semidirect
116. #10622593C22semidirect
117. #10622591C22semidirect
118. #10622587C22semidirect
125. #10622563C22semidirect
126. #10622563C22semidirect
127. #10622563C22semidirect
128. #10622561C22semidirect
129. #10622561C22semidirect
130. #10622561C22semidirect
131. #10622560C22semidirect
132. #10622560C22semidirect
133. #10622560C22semidirect
134. #10622559C22semidirect
135. #10622559C22semidirect
136. #10622559C22semidirect
137. #10622555C22semidirect
138. #10622555C22semidirect
139. #10622546C22semidirect
140. #10622542C22semidirect
141. #10622289C22semidirect
142. #10622286C22semidirect
143. #10622286C22semidirect
144. #10622286C22semidirect
145. #10622281C22semidirect
146. #10622281C22semidirect
147. #10622281C22semidirect
148. #10622281C22semidirect
149. #10622281C22semidirect
150. #10622281C22semidirect
151. #10622280C22semidirect
152. #10622280C22semidirect
169. D11×#95C22semidirect
170. D11×#95C22semidirect
171. D11×#95C22semidirect
172. D11×#95C22semidirect
173. #10622274C22semidirect
174. #10622273C22semidirect
175. #10622273C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
208. C2×D4×D11Q8semidirect
420. C2×D4×C11C2×Q8semidirect
450. C2×C22⋊D11C2×Q8semidirect
451. C2×C22⋊D11C2×Q8semidirect
481. C2×D44C2×Q8semidirect
643. #2450D11direct (N × H)
836. C2×C22⋊Q8C2×D11semidirect
870. #400C2×D11semidirect
878. #398C2×D11semidirect
886. #396C2×D11semidirect
894. #393C2×D11semidirect
902. #391C2×D11semidirect
910. #387C2×D11semidirect
948. #385C2×D11semidirect
949. #385C2×D11semidirect
950. #385C2×D11semidirect
958. #380C2×D11semidirect
978. C2×#95C2×D11semidirect
1266. D11#2450direct (N × H)
1311. C2×D4Q8×D11semidirect
1497. C11C2×#2450semidirect

Maximal subgroups

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

subgroupindex
C2×D11×C22⋊Q82
C2×C4×D4×D112
#130724472
#130724462
#130724452
#130724442
#130724432
#130724422
#130724412
#130724402
#130724392
#130724382
#130724372
#130724362
#130724352
#130724342
#130724332
D11×#4002
D11×#3982
D11×#3962
D11×#3932
D11×#3912
D11×#3872
D11×#3862
D11×#3852
D11×#3802
C2×D11×#952
C11×#24502
C2×#245011