Finite Group Databasebeta

← D11×#2334 #14912643

Subgroups — D11×#2334 #14912643

Order 2816.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#126C211yesmaximal, characteristic
2#13071398C211yesmaximal, characteristic, complemented
3#13071397C211yesmaximal, characteristic, complemented
4#13071396C211yesmaximal, characteristic, complemented
5#13071395C211yesmaximal, characteristic, complemented
6#13071394C211yesmaximal, characteristic, complemented
7#13071393C211yesmaximal, characteristic, complemented
8#13071392C211yesmaximal, characteristic, complemented
9#13071391C211yesmaximal, characteristic, complemented
10#13071390C211yesmaximal, characteristic, complemented
11#13071389C211yesmaximal, characteristic, complemented
12#13071388C211yesmaximal, characteristic, complemented
13#13071387C211yesmaximal, characteristic, complemented
14#13071386C211yesmaximal, characteristic, complemented
15#13071385C211yesmaximal, characteristic, complemented
16#13071384C211yesmaximal, characteristic, complemented
17D11×#389C211yesmaximal, characteristic, complemented
18D11×#389C211yesmaximal, characteristic, complemented
19D11×#388C211yesmaximal, characteristic
20D11×#388C211yesmaximal, characteristic
21D11×#388C211yesmaximal, characteristic
22D11×#387C211yesmaximal, characteristic, complemented
23D11×#387C211yesmaximal, characteristic, complemented
24D11×#387C211yesmaximal, characteristic, complemented
25D11×#385C211yesmaximal, characteristic
26D11×#385C211yesmaximal, characteristic
27D11×#382C211yesmaximal, characteristic, complemented
28C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2334C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34D11×#126C4116yescomplemented
35C2×#66951C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×#66932C2211yescharacteristic
56C2×#66932C2211yescharacteristic
57C2×#66929C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C2×C42×D11C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C11×#389C2211yescharacteristic, complemented
65C11×#389C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#387C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#387C2211yescharacteristic, complemented
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C11×#382C2211yescharacteristic, complemented
75C4×C11×C4⋊C4C2211yescharacteristic, complemented
76C4×C11×C4⋊C4C2211yescharacteristic, complemented
77C4×C11×C22⋊C4C2211yescharacteristic
78#10622823C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622598C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622590C2211yescharacteristic, complemented
97#10622590C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100C4⋊C4×Dic11C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102#10622586C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622549C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130C4×C4⋊Dic11C2211yescharacteristic, complemented
131#10622546C2211yescharacteristic, complemented
132#10622546C2211yescharacteristic, complemented
133#10622546C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622266C2211yescharacteristic, complemented
171#10622266C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622263C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×C4×D11—24no—
192C22×C4×D11—42no—
193C22×C4×D11—42no—
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
209C22×C4×D11C2311yescharacteristic
210C11×#126C2×C418yescomplemented
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×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299#66951C2×C418yescomplemented
300#66951C2×C418yescomplemented
301#66951C2×C418yescomplemented
302C4⋊C4×D11—24no—
303C4⋊C4×D11—24no—
304C4⋊C4×D11—24no—
305C4⋊C4×D11—42no—
306C4⋊C4×D11—42no—
307C4⋊C4×D11—42no—
308C4⋊C4×D11—42no—
309C4⋊C4×D11C2×C418yescomplemented
310C4⋊C4×D11C2×C418yescomplemented
311C4⋊C4×D11C2×C418yescomplemented
312C22⋊C4×D11—24no—
313C22⋊C4×D11—42no—
314C22⋊C4×D11—42no—
315C22⋊C4×D11C2×C418yes—
316C22⋊C4×D11C2×C418yes—
317C22⋊C4×D11C2×C418yes—
318#66932C2×C418yescomplemented
319#66932C2×C418yescomplemented
320#66932C2×C418yescomplemented
321#66929C2×C418yescomplemented
322C42×D11—24no—
323C42×D11—42no—
324C42×D11—42no—
325C42×D11—42no—
326C42×D11—42no—
327C42×D11C2×C418yescomplemented
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C2×#2334—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C22×C4×C11—22no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×Dic11—22no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—416no—
462C2×C4×D11C22×C414yes—
463C2×C4×D11C22×C414yes—
464C2×C4×D11C22×C414yes—
465C2×C4×D11C22×C414yes—
466C2×C4×D11C22×C414yes—
467C2×C4×D11C22×C414yes—
468C2×C4×D11#4114yes—
469C2×C4×D11#4114yes—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4C22×C414yescomplemented
478C11×C4⋊C4C22×C414yescomplemented
479C11×C4⋊C4C22×C414yescomplemented
480C11×C22⋊C4—22no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4C22×C414yes—
484C11×C22⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C42×C11—22no—
487C42×C11—41no—
488C42×C11—41no—
489C42×C11—41no—
490C42×C11—41no—
491C42×C11C22×C414yescomplemented
492C22⋊Dic11—22no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11C22×C414yes—
496C22⋊Dic11C22×C414yes—
497C22⋊Dic11C22×C414yes—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4C22×C414yes—
505(C2×D11)⋊C4C22×C414yes—
506(C2×D11)⋊C4C22×C414yes—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510C4⋊Dic11—22no—
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11C22×C414yescomplemented
518C4⋊Dic11C22×C414yescomplemented
519C4⋊Dic11C22×C414yescomplemented
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4C22×C414yescomplemented
535Dic11⋊C4C22×C414yescomplemented
536Dic11⋊C4C22×C414yescomplemented
537Dic11⋊C4C22×C414yescomplemented
538Dic11⋊C4C22×C414yescomplemented
539Dic11⋊C4C22×C414yescomplemented
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11C22×C414yescomplemented
556C4×Dic11C22×C414yescomplemented
557C4×Dic11C22×C414yescomplemented
558C22×#126—111no—
559#2334—111no—
560#2334—111no—
561#2334—111no—
562#2334—111no—
563#2334—111no—
564#2334—111no—
565#2334—111no—
566#2334—111no—
567#2334—111no—
568#2334—111no—
569#2334—111no—
570#2334—111no—
571#2334—111no—
572#2334—111no—
573#2334—111no—
574#2334D1111yescharacteristic, direct product factor
575C2×#389—111no—
576C2×#389—111no—
577C2×#388—111no—
578C2×#388—111no—
579C2×#388—111no—
580C2×#387—111no—
581C2×#387—111no—
582C2×#387—111no—
583C2×#385—111no—
584C2×#385—111no—
585C2×#382—111no—
586C2×C4×C4⋊C4—111no—
587C2×C4×C4⋊C4—111no—
588C2×C4×C22⋊C4—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11C23×C412yes—
596C23×C11C2511yescharacteristic
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—28no—
604C22×D11—28no—
605C22×D11—28no—
606C22×D11—44no—
607C22×D11—44no—
608C22×D11—44no—
609C22×D11—44no—
610C22×D11C23×C412yes—
611C22×D11C23×C412yes—
612C22×D11C2×#4112yes—
613C22×D11C2×#4112yes—
614C22×D11H(5,𝔽2)12yes—
615C22×D11H(5,𝔽2)12yes—
616C22×D112−1+412yes—
617C22×D112−1+412yes—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—44no—
653C2×C4×C11C23×C412yes—
654C2×C4×C11C23×C412yes—
655C2×C4×C11C23×C412yes—
656C2×C4×C11C23×C412yes—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C2×#4112yes—
660C2×C4×C11C2×#4112yes—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—44no—
696C2×Dic11C23×C412yes—
697C2×Dic11C23×C412yes—
698C2×Dic11C23×C412yes—
699C2×Dic11C23×C412yes—
700C2×Dic11C23×C412yes—
701C2×Dic11C23×C412yes—
702C2×Dic11C2×#4112yes—
703C2×Dic11C2×#4112yes—
704C4×D11—28no—
705C4×D11—28no—
706C4×D11—28no—
707C4×D11—28no—
708C4×D11—28no—
709C4×D11—28no—
710C4×D11—28no—
711C4×D11—28no—
712C4×D11—44no—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—44no—
716C4×D11—44no—
717C4×D11—44no—
718C4×D11—44no—
719C4×D11—44no—
720C24×C4—111no—
721C2×#126—1116no—
722C2×#126—111no—
723C2×#126—111no—
724C2×#126—111no—
725C2×#126—111no—
726C2×#126—111no—
727C2×#126—111no—
728C2×#126—111no—
729C2×#126C2×D1111yescharacteristic
730C22×C4⋊C4—111no—
731C22×C4⋊C4—111no—
732C22×C4⋊C4—111no—
733C22×C4⋊C4—111no—
734C22×C4⋊C4—111no—
735C22×C4⋊C4—111no—
736C22×C4⋊C4—111no—
737C22×C4⋊C4—111no—
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4—111no—
745C22×C22⋊C4—111no—
746C22×C42—111no—
747C22×C42—111no—
748C22×C42—111no—
749C22×C42—111no—
750C22×C42—111no—
751C22×C42—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389—111no—
766#389C2×D1111yescharacteristic, complemented
767#389C2×D1111yescharacteristic, complemented
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387C2×D1111yescharacteristic, complemented
814#387C2×D1111yescharacteristic, complemented
815#387C2×D1111yescharacteristic, complemented
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#382—111no—
833#382—111no—
834#382—111no—
835#382—111no—
836#382—111no—
837#382—111no—
838#382—111no—
839#382C2×D1111yescharacteristic, complemented
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4C2×D1111yescharacteristic, complemented
855C4×C4⋊C4C2×D1111yescharacteristic, complemented
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4C2×D1111yescharacteristic
864C2×#95—111no—
865C2×#95—111no—
866C2×#95—111no—
867C2×#95—111no—
868C2×#95—111no—
869C2×#95—111no—
870C2×#95—111no—
871C2×#95—111no—
872C2×#95—111no—
873C2×#95—111no—
874C2×#95—111no—
875C2×#95—111no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11C24×C411yescharacteristic
884C22×C11C22×#4111yescharacteristic
885C22×C11C22×#4111yescharacteristic
886C22×C11C2×H(5,𝔽2)11yescharacteristic
887C22×C11C2×H(5,𝔽2)11yescharacteristic
888C22×C11C2×2−1+411yescharacteristic
889C22×C11C2×2−1+411yescharacteristic
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—416no—
898C2×D11C4×#4114yes—
899C2×D11#52014yes—
900C2×D11#52014yes—
901C2×D11#53814yes—
902C2×D11#53914yes—
903C2×D11#54114yes—
904C2×D11#54214yes—
905C4×C11—22no—
906C4×C11—22no—
907C4×C11—22no—
908C4×C11—22no—
909C4×C11—22no—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919Dic11—22no—
920Dic11—22no—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933C25—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—224no—
952C23×C4—442no—
953C23×C4—442no—
954C23×C4C22×D1111yescharacteristic
955#126—118no—
956#126—118no—
957#126—118no—
958#126—118no—
959#126—118no—
960#126—118no—
961#126—118no—
962#126C4×D1118yescomplemented
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—118no—
973C2×C4⋊C4—118no—
974C2×C4⋊C4—118no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—224no—
997C2×C4⋊C4—224no—
998C2×C4⋊C4—224no—
999C2×C4⋊C4—442no—
1000C2×C4⋊C4—442no—
1001C2×C4⋊C4—442no—
1002C2×C4⋊C4—442no—
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—118no—
1023C2×C22⋊C4—118no—
1024C2×C22⋊C4—118no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—224no—
1035C2×C22⋊C4—442no—
1036C2×C22⋊C4—442no—
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—118no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—224no—
1063C2×C42—442no—
1064C2×C42—442no—
1065C2×C42—442no—
1066C2×C42—442no—
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—42no—
1122C2×C11C2×C4×#4111yescharacteristic
1123C2×C11C2×#52011yescharacteristic
1124C2×C11C2×#52011yescharacteristic
1125C2×C11C2×#53811yescharacteristic
1126C2×C11C2×#53911yescharacteristic
1127C2×C11C2×#54111yescharacteristic
1128C2×C11C2×#54211yescharacteristic
1129D11—42no—
1130D11#233418yesdirect product factor
1131C24—111no—
1132C24—114no—
1133C24—111no—
1134C24—222no—
1135C24—222no—
1136C24—222no—
1137C24—222no—
1138C24—222no—
1139C24—222no—
1140C24C23×D1111yescharacteristic
1141C22×C4—22no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—114no—
1153C22×C4—114no—
1154C22×C4—114no—
1155C22×C4—114no—
1156C22×C4—114no—
1157C22×C4—114no—
1158C22×C4—114no—
1159C22×C4—114no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—4416no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—114no—
1232C4⋊C4—114no—
1233C4⋊C4—114no—
1234C4⋊C4—114no—
1235C4⋊C4—114no—
1236C4⋊C4—114no—
1237C4⋊C4—114no—
1238C4⋊C4—114no—
1239C4⋊C4—114no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—222no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4C2×C4×D1114yescomplemented
1262C4⋊C4C2×C4×D1114yescomplemented
1263C4⋊C4C2×C4×D1114yescomplemented
1264C22⋊C4—22no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—114no—
1268C22⋊C4—114no—
1269C22⋊C4—114no—
1270C22⋊C4—114no—
1271C22⋊C4—114no—
1272C22⋊C4—114no—
1273C22⋊C4—114no—
1274C22⋊C4—114no—
1275C22⋊C4—114no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4C2×C4×D1114yes—
1286C22⋊C4C2×C4×D1114yes—
1287C22⋊C4C2×C4×D1114yes—
1288C42—22no—
1289C42—41no—
1290C42—41no—
1291C42—41no—
1292C42—41no—
1293C42—114no—
1294C42—114no—
1295C42—114no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—441no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42C2×C4×D1114yescomplemented
1312C11C2×#233411yescharacteristic, complemented, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—112no—
1320C23—112no—
1321C23—112no—
1322C23—112no—
1323C23—112no—
1324C23—112no—
1325C23—112no—
1326C23—112no—
1327C23—228no—
1328C23—228no—
1329C23—228no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—444no—
1337C23—444no—
1338C23—444no—
1339C23—444no—
1340C23C22×C4×D1112yes—
1341C23C24×D1111yescharacteristic
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—44no—
1377C2×C4—112no—
1378C2×C4—112no—
1379C2×C4—112no—
1380C2×C4—112no—
1381C2×C4—112no—
1382C2×C4—112no—
1383C2×C4—112no—
1384C2×C4—112no—
1385C2×C4—228no—
1386C2×C4—228no—
1387C2×C4—228no—
1388C2×C4—228no—
1389C2×C4—228no—
1390C2×C4—228no—
1391C2×C4—228no—
1392C2×C4—228no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—444no—
1428C2×C4—444no—
1429C2×C4—444no—
1430C2×C4—444no—
1431C2×C4—444no—
1432C2×C4—444no—
1433C2×C4—444no—
1434C2×C4—444no—
1435C2×C4—444no—
1436C2×C4C22×C4×D1112yes—
1437C2×C4C22×C4×D1112yes—
1438C2×C4C22×C4×D1112yes—
1439C2×C4C22×C4×D1112yes—
1440C2×C4C22×C4×D1112yes—
1441C2×C4C22×C4×D1112yes—
1442C2×C4#41×D1112yes—
1443C2×C4#41×D1112yes—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—114no—
1452C22—114no—
1453C22—114no—
1454C22—114no—
1455C22—114no—
1456C22—114no—
1457C22—114no—
1458C22—222no—
1459C22—222no—
1460C22—222no—
1461C22—4416no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22C23×C4×D1111yescharacteristic
1467C22C2×#41×D1111yescharacteristic
1468C22C2×#41×D1111yescharacteristic
1469C22D11×H(5,𝔽2)11yescharacteristic
1470C22D11×H(5,𝔽2)11yescharacteristic
1471C22D11×2−1+411yescharacteristic
1472C22D11×2−1+411yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—222no—
1488C4—222no—
1489C4—222no—
1490C4—222no—
1491C4—222no—
1492C4—222no—
1493C4—222no—
1494C4—222no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C4—441no—
1501C2—42no—
1502C2—118no—
1503C2—442no—
1504C2C4×#41×D1111yescharacteristic
1505C2D11×#52011yescharacteristic
1506C2D11×#52011yescharacteristic
1507C2D11×#53811yescharacteristic
1508C2D11×#53911yescharacteristic
1509C2D11×#54111yescharacteristic
1510C2D11×#54211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2334C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenter#2334D11
hypocenterC11C2×#2334
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2334

Complements

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

NH ≅ G/Ntype
2. #13071398C2semidirect
3. #13071397C2semidirect
4. #13071396C2semidirect
5. #13071395C2semidirect
6. #13071394C2semidirect
7. #13071393C2semidirect
8. #13071392C2semidirect
9. #13071391C2semidirect
10. #13071390C2semidirect
11. #13071389C2semidirect
12. #13071388C2semidirect
13. #13071387C2semidirect
14. #13071386C2semidirect
15. #13071385C2semidirect
16. #13071384C2semidirect
17. D11×#389C2semidirect
18. D11×#389C2semidirect
22. D11×#387C2semidirect
23. D11×#387C2semidirect
24. D11×#387C2semidirect
27. D11×#382C2semidirect
28. C4×C4⋊C4×D11C2semidirect
29. C4×C4⋊C4×D11C2semidirect
31. C11×#2334C2semidirect
34. D11×#126C4semidirect
64. C11×#389C22semidirect
65. C11×#389C22semidirect
69. C11×#387C22semidirect
70. C11×#387C22semidirect
71. C11×#387C22semidirect
74. C11×#382C22semidirect
75. C4×C11×C4⋊C4C22semidirect
76. C4×C11×C4⋊C4C22semidirect
88. #10622598C22semidirect
89. #10622598C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622591C22semidirect
96. #10622590C22semidirect
97. #10622590C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. C4⋊C4×Dic11C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. #10622586C22semidirect
103. #10622586C22semidirect
104. #10622585C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
128. #10622549C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. C4×C4⋊Dic11C22semidirect
131. #10622546C22semidirect
132. #10622546C22semidirect
133. #10622546C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. #10622541C22semidirect
139. #10622541C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622267C22semidirect
168. #10622267C22semidirect
169. #10622267C22semidirect
170. #10622266C22semidirect
171. #10622266C22semidirect
172. #10622266C22semidirect
173. #10622265C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622263C22semidirect
177. #10622263C22semidirect
178. #10622263C22semidirect
179. #10622263C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
210. C11×#126C2×C4semidirect
299. #66951C2×C4semidirect
300. #66951C2×C4semidirect
301. #66951C2×C4semidirect
309. C4⋊C4×D11C2×C4semidirect
310. C4⋊C4×D11C2×C4semidirect
311. C4⋊C4×D11C2×C4semidirect
318. #66932C2×C4semidirect
319. #66932C2×C4semidirect
320. #66932C2×C4semidirect
321. #66929C2×C4semidirect
327. C42×D11C2×C4semidirect
477. C11×C4⋊C4C22×C4semidirect
478. C11×C4⋊C4C22×C4semidirect
479. C11×C4⋊C4C22×C4semidirect
491. C42×C11C22×C4semidirect
517. C4⋊Dic11C22×C4semidirect
518. C4⋊Dic11C22×C4semidirect
519. C4⋊Dic11C22×C4semidirect
534. Dic11⋊C4C22×C4semidirect
535. Dic11⋊C4C22×C4semidirect
536. Dic11⋊C4C22×C4semidirect
537. Dic11⋊C4C22×C4semidirect
538. Dic11⋊C4C22×C4semidirect
539. Dic11⋊C4C22×C4semidirect
555. C4×Dic11C22×C4semidirect
556. C4×Dic11C22×C4semidirect
557. C4×Dic11C22×C4semidirect
574. #2334D11direct (N × H)
766. #389C2×D11semidirect
767. #389C2×D11semidirect
813. #387C2×D11semidirect
814. #387C2×D11semidirect
815. #387C2×D11semidirect
839. #382C2×D11semidirect
854. C4×C4⋊C4C2×D11semidirect
855. C4×C4⋊C4C2×D11semidirect
962. #126C4×D11semidirect
1130. D11#2334direct (N × H)
1261. C4⋊C4C2×C4×D11semidirect
1262. C4⋊C4C2×C4×D11semidirect
1263. C4⋊C4C2×C4×D11semidirect
1311. C42C2×C4×D11semidirect
1312. C11C2×#2334semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1262
#130713982
#130713972
#130713962
#130713952
#130713942
#130713932
#130713922
#130713912
#130713902
#130713892
#130713882
#130713872
#130713862
#130713852
#130713842
D11×#3892
D11×#3882
D11×#3872
D11×#3852
D11×#3822
C4×C4⋊C4×D112
C4×C22⋊C4×D112
C11×#23342
C2×#233411