Finite Group Databasebeta

← #14917366

Subgroups — #14917366

Order 2816.

2390 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623146C211yesmaximal, characteristic
2#13071774C211yesmaximal, characteristic, complemented
3#13071772C211yesmaximal, characteristic, complemented
4#13071768C211yesmaximal, characteristic, complemented
5#13071709C211yesmaximal, characteristic, complemented
6#13071707C211yesmaximal, characteristic, complemented
7#13071679C211yesmaximal, characteristic, complemented
8#13071677C211yesmaximal, characteristic, complemented
9#13071637C211yesmaximal, characteristic, complemented
10#13071636C211yesmaximal, characteristic, complemented
11#13071629C211yesmaximal, characteristic, complemented
12#13071627C211yesmaximal, characteristic, complemented
13#13071586C211yesmaximal, characteristic, complemented
14#13071584C211yesmaximal, characteristic, complemented
15#13071514C211yesmaximal, characteristic, complemented
16#13071512C211yesmaximal, characteristic, complemented
17#13071413C211yesmaximal, characteristic, complemented
18#13071412C211yesmaximal, characteristic, complemented
19#13071403C211yesmaximal, characteristic, complemented
20#13071402C211yesmaximal, characteristic, complemented
21#13071306C211yesmaximal, characteristic, complemented
22#13071302C211yesmaximal, characteristic, complemented
23#13071290C211yesmaximal, characteristic, complemented
24#13071289C211yesmaximal, characteristic, complemented
25#13071283C211yesmaximal, characteristic, complemented
26#13071282C211yesmaximal, characteristic, complemented
27#13071220C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29#13071126C211yesmaximal, characteristic, complemented
30#13071095C211yesmaximal, characteristic, complemented
31C11×#2377C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×#66993C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66991C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C22×C4⋊Dic11C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic
49#10623146C4116yescomplemented
50C2×#66947C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×#66942C2211yescharacteristic
54C2×#66937C2211yescharacteristic
55C2×#66936C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×#66930C2211yescharacteristic
64C2×#66930C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic
66C11×#390C2211yescharacteristic
67C11×#390C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#387C2211yescharacteristic
71C11×#387C2211yescharacteristic
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic
74C11×#386C2211yescharacteristic
75C11×#386C2211yescharacteristic
76C11×#385C2211yescharacteristic
77C11×#385C2211yescharacteristic
78C11×#381C2211yescharacteristic
79C11×#380C2211yescharacteristic
80#10622834C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622823C2211yescharacteristic
86#10622823C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622601C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622598C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96#10622589C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100#10622586C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622559C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622556C2211yescharacteristic
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137#10622555C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141#10622553C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×C4⋊Dic11C2211yescharacteristic
144#10622546C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C11×#121C2×C418yescomplemented
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
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×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66993C2×C418yescomplemented
246#66992C2×C418yescomplemented
247#66992C2×C418yescomplemented
248#66992C2×C418yescomplemented
249#66991C2×C418yescomplemented
250#66988C2×C418yescomplemented
251D4×Dic11—42no—
252D4×Dic11—42no—
253D4×Dic11—42no—
254#66982C2×C418yescomplemented
255C4×C22⋊D11—42no—
256C4×C22⋊D11—42no—
257C4×C22⋊D11C2×C418yescomplemented
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11—42no—
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×Dic11⋊C4—42no—
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66947C2×C418yescomplemented
325C4⋊C4×D11—42no—
326C4⋊C4×D11—42no—
327#66942C2×C418yescomplemented
328#66937C2×C418yescomplemented
329#66936C2×C418yescomplemented
330(C22⋊D11)⋊C4—42no—
331(C22⋊D11)⋊C4—42no—
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4—42no—
334(C22⋊D11)⋊C4—42no—
335(C22⋊D11)⋊C4—42no—
336(C22⋊D11)⋊C4C2×C418yescomplemented
337#66930—42no—
338#66930C2×C418yescomplemented
339C4×D44—42no—
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
376#34418—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11C22×C414yes—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11C22×C414yes—
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11C22×C414yes—
425C2×C22⋊D11C22×C414yes—
426C2×C22⋊D11C22×C414yes—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11C22×C414yes—
447C22×Dic11C22×C414yes—
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C2×D44—41no—
463C2×D44—41no—
464C2×D44C22×C414yes—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4C22×C414yes—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4C22×C414yes—
499C11×C22⋊C4C22×C414yes—
500C42×C11—41no—
501C42×C11—41no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11C22×C414yes—
511C22⋊Dic11C22×C414yes—
512C22⋊Dic11C22×C414yes—
513C22⋊Dic11C22×C414yes—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4C22×C414yes—
527(C2×D11)⋊C4C22×C414yes—
528(C2×D11)⋊C4C22×C414yes—
529(C2×D11)⋊C4C22×C414yes—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11C22×C414yes—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4C22×C414yes—
554Dic11⋊C4C22×C414yes—
555Dic11⋊C4C22×C414yes—
556Dic11⋊C4C22×C414yes—
557Dic11⋊C4C22×C414yes—
558Dic11⋊C4C22×C414yes—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11C22×C414yes—
576C4×Dic11C22×C414yes—
577C2×#540—111no—
578#2377—111no—
579#2377—111no—
580#2377—111no—
581#2377D1111yescharacteristic, complemented
582#2370—111no—
583#2370—111no—
584#2366—111no—
585#2366—111no—
586#2361—111no—
587#2361—111no—
588#2361—111no—
589#2361—111no—
590#2357—111no—
591#2357—111no—
592D4×C4⋊C4—111no—
593D4×C4⋊C4—111no—
594#2335—111no—
595#2335—111no—
596#2335—111no—
597#2335—111no—
598#2324—111no—
599#2324—111no—
600#2322—111no—
601#2322—111no—
602#2322—111no—
603#2322—111no—
604#2314—111no—
605C4×#121—111no—
606C4×#121—111no—
607#2296—111no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11C23×C412yes—
627C23×C11C23×C412yes—
628C23×C11C23×C412yes—
629C23×C11C2511yescharacteristic
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11C23×C412yes—
643C22×D11C23×C412yes—
644D4×C11—44no—
645D4×C11—44no—
646D4×C11—44no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—44no—
680C2×C4×C11—44no—
681C2×C4×C11—82no—
682C2×C4×C11C23×C412yes—
683C2×C4×C11C23×C412yes—
684C2×C4×C11C23×C412yes—
685C2×C4×C11C23×C412yes—
686C22⋊D11—28no—
687C22⋊D11—28no—
688C22⋊D11—44no—
689C22⋊D11—44no—
690C22⋊D11—44no—
691C22⋊D11—44no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—28no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—44no—
726C2×Dic11—44no—
727C2×Dic11—82no—
728C2×Dic11—82no—
729C2×Dic11—82no—
730C2×Dic11C23×C412yes—
731C2×Dic11C23×C412yes—
732C2×Dic11C23×C412yes—
733C2×Dic11C23×C412yes—
734C2×Dic11C23×C412yes—
735C2×Dic11C23×C412yes—
736C2×Dic11H(5,𝔽2)12yes—
737C2×Dic11H(5,𝔽2)12yes—
738C2×Dic11H(5,𝔽2)12yes—
739C2×Dic112−1+412yes—
740D44—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—82no—
744C4×D11—82no—
745C4×D11—82no—
746C4×D11—82no—
747#540—1116no—
748C2×#127—111no—
749C2×#125—111no—
750C2×#123—111no—
751C2×#123—111no—
752C2×#123—111no—
753C2×#123—111no—
754C2×#121—111no—
755C2×#121—111no—
756C2×#121—111no—
757C2×#121—111no—
758C2×#121—111no—
759C2×#121C2×D1111yescharacteristic
760C2×C4×D4—111no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—111no—
765C2×C4×D4—111no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×#117—111no—
775C2×#117—111no—
776C22×C4⋊C4—111no—
777C22×C4⋊C4—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C42—111no—
781#390—111no—
782#390—111no—
783#390—111no—
784#390—111no—
785#390—111no—
786#390—111no—
787#390—111no—
788#390—111no—
789#390—111no—
790#390—111no—
791#390C2×D1111yescharacteristic
792#390C2×D1111yescharacteristic
793#389—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389—111no—
803#389—111no—
804#389—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388C2×D1111yescharacteristic
824#388C2×D1111yescharacteristic
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387C2×D1111yescharacteristic
836#387C2×D1111yescharacteristic
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386C2×D1111yescharacteristic
850#386C2×D1111yescharacteristic
851#386C2×D1111yescharacteristic
852#386C2×D1111yescharacteristic
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385C2×D1111yescharacteristic
868#385C2×D1111yescharacteristic
869#384—111no—
870#382—111no—
871#381—111no—
872#381—111no—
873#381—111no—
874#381C2×D1111yescharacteristic
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#380—111no—
880#380C2×D1111yescharacteristic
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C4⋊C4—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11C24×C411yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×2−1+411yescharacteristic
929C22×C11#58511yescharacteristic
930C22×C11#58511yescharacteristic
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C4×C11—22no—
946C4×C11—22no—
947C4×C11—22no—
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957Dic11—22no—
958Dic11—22no—
959Dic11—22no—
960Dic11—22no—
961Dic11—22no—
962Dic11—22no—
963Dic11—22no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11#52014yes—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C22×D4C22×D1111yescharacteristic
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4—111no—
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4C22×D1111yescharacteristic
994C23×C4C22×D1111yescharacteristic
995C23×C4C22×D1111yescharacteristic
996#127—118no—
997#125—118no—
998#123—118no—
999#123—118no—
1000#123—118no—
1001#123—118no—
1002#121—118no—
1003#121—118no—
1004#121—118no—
1005#121—118no—
1006#121—118no—
1007#121C4×D1118yescomplemented
1008C4×D4—118no—
1009C4×D4—118no—
1010C4×D4—442no—
1011C4×D4—442no—
1012C4×D4—442no—
1013C4×D4—442no—
1014C4×D4—442no—
1015C4×D4—442no—
1016C4×D4—442no—
1017C4×D4—442no—
1018C4×D4—442no—
1019C4×D4—442no—
1020C4×D4—442no—
1021C4×D4—442no—
1022#117—118no—
1023#117—442no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—442no—
1054C2×C4⋊C4—442no—
1055C2×C4⋊C4—442no—
1056C2×C4⋊C4—442no—
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—111no—
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—442no—
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159C2×C11—42no—
1160C2×C11—42no—
1161C2×C11—42no—
1162C2×C11C2×#52011yescharacteristic
1163C2×C11C4×H(5,𝔽2)11yescharacteristic
1164C2×C11C4×H(5,𝔽2)11yescharacteristic
1165C2×C11#353711yescharacteristic
1166C2×C11#353911yescharacteristic
1167C2×C11#355411yescharacteristic
1168C2×C11#355411yescharacteristic
1169D11—42no—
1170D11—42no—
1171C24—111no—
1172C24—111no—
1173C24C23×D1111yescharacteristic
1174C24C23×D1111yescharacteristic
1175C24C23×D1111yescharacteristic
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—114no—
1183C2×D4—114no—
1184C2×D4—114no—
1185C2×D4—114no—
1186C2×D4—114no—
1187C2×D4—114no—
1188C2×D4—114no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4C2×C4×D1114yes—
1204C2×D4C2×C4×D1114yes—
1205C2×D4C2×C4×D1114yes—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—111no—
1215C22×C4—114no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—114no—
1224C22×C4—114no—
1225C22×C4—114no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4C2×C4×D1114yes—
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C22×C4C23×D1111yescharacteristic
1269C22×C4C23×D1111yescharacteristic
1270C22×C4C23×D1111yescharacteristic
1271C22×C4C23×D1111yescharacteristic
1272C22×C4C23×D1111yescharacteristic
1273C22×C4C23×D1111yescharacteristic
1274C22×C4C23×D1111yescharacteristic
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—114no—
1282C4⋊C4—114no—
1283C4⋊C4—114no—
1284C4⋊C4—114no—
1285C4⋊C4—114no—
1286C4⋊C4—114no—
1287C4⋊C4—114no—
1288C4⋊C4—222no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—222no—
1294C4⋊C4—222no—
1295C4⋊C4—222no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4C2×C4×D1114yes—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—114no—
1322C22⋊C4—114no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
1328C22⋊C4—114no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4C2×C4×D1114yes—
1350C22⋊C4C2×C4×D1114yes—
1351C42—41no—
1352C42—41no—
1353C42—114no—
1354C42—114no—
1355C42—222no—
1356C42—222no—
1357C42—222no—
1358C42—222no—
1359C42—441no—
1360C42—441no—
1361C42—441no—
1362C42—441no—
1363C42—441no—
1364C42—441no—
1365C42—441no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C42—441no—
1370C42—441no—
1371C11#3441811yescharacteristic, complemented, Sylow
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—112no—
1391C23—112no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23C22×C4×D1112yes—
1405C23C22×C4×D1112yes—
1406C23C22×C4×D1112yes—
1407C23C24×D1111yescharacteristic
1408D4—44no—
1409D4—44no—
1410D4—44no—
1411D4—228no—
1412D4—228no—
1413D4—444no—
1414D4—444no—
1415D4—444no—
1416D4—444no—
1417D4—444no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—82no—
1453C2×C4—112no—
1454C2×C4—112no—
1455C2×C4—112no—
1456C2×C4—112no—
1457C2×C4—112no—
1458C2×C4—112no—
1459C2×C4—112no—
1460C2×C4—112no—
1461C2×C4—112no—
1462C2×C4—112no—
1463C2×C4—228no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—444no—
1497C2×C4—444no—
1498C2×C4—444no—
1499C2×C4—444no—
1500C2×C4—882no—
1501C2×C4—882no—
1502C2×C4—882no—
1503C2×C4—882no—
1504C2×C4—882no—
1505C2×C4—882no—
1506C2×C4—882no—
1507C2×C4C22×C4×D1112yes—
1508C2×C4C22×C4×D1112yes—
1509C2×C4C22×C4×D1112yes—
1510C2×C4C22×C4×D1112yes—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—222no—
1533C22—222no—
1534C22—222no—
1535C22—222no—
1536C22—222no—
1537C22—222no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22—441no—
1544C22—441no—
1545C22—441no—
1546C22C23×C4×D1111yescharacteristic
1547C22D11×H(5,𝔽2)11yescharacteristic
1548C22D11×H(5,𝔽2)11yescharacteristic
1549C22D11×H(5,𝔽2)11yescharacteristic
1550C22#1062345511yescharacteristic
1551C22#1062345511yescharacteristic
1552C22D11×2−1+411yescharacteristic
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—114no—
1566C4—222no—
1567C4—222no—
1568C4—222no—
1569C4—222no—
1570C4—222no—
1571C4—222no—
1572C4—222no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C2—42no—
1580C2—42no—
1581C2—42no—
1582C2—442no—
1583C2—442no—
1584C2D11×#52011yescharacteristic
1585C2#1308182011yescharacteristic
1586C2#1308182011yescharacteristic
1587C2#1308285011yescharacteristic
1588C2#1308287011yescharacteristic
1589C2#1308307811yescharacteristic
1590C2#1308307811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2377C2
socle, cosocleC23×C11C25
prime radicalC2×#10623146C2
hypercenter#2377D11
hypocenterC11#34418
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #13071774C2semidirect
3. #13071772C2semidirect
4. #13071768C2semidirect
5. #13071709C2semidirect
6. #13071707C2semidirect
7. #13071679C2semidirect
8. #13071677C2semidirect
9. #13071637C2semidirect
10. #13071636C2semidirect
11. #13071629C2semidirect
12. #13071627C2semidirect
13. #13071586C2semidirect
14. #13071584C2semidirect
15. #13071514C2semidirect
16. #13071512C2semidirect
17. #13071413C2semidirect
18. #13071412C2semidirect
19. #13071403C2semidirect
20. #13071402C2semidirect
21. #13071306C2semidirect
22. #13071302C2semidirect
23. #13071290C2semidirect
24. #13071289C2semidirect
25. #13071283C2semidirect
26. #13071282C2semidirect
27. #13071220C2semidirect
28. #13071126C2semidirect
29. #13071126C2semidirect
30. #13071095C2semidirect
31. C11×#2377C2semidirect
49. #10623146C4semidirect
213. C11×#121C2×C4semidirect
245. #66993C2×C4semidirect
246. #66992C2×C4semidirect
247. #66992C2×C4semidirect
248. #66992C2×C4semidirect
249. #66991C2×C4semidirect
250. #66988C2×C4semidirect
254. #66982C2×C4semidirect
257. C4×C22⋊D11C2×C4semidirect
324. #66947C2×C4semidirect
327. #66942C2×C4semidirect
328. #66937C2×C4semidirect
329. #66936C2×C4semidirect
336. (C22⋊D11)⋊C4C2×C4semidirect
338. #66930C2×C4semidirect
581. #2377D11semidirect
1007. #121C4×D11semidirect
1371. C11#34418semidirect

Maximal subgroups

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

subgroupindex
C2×#106231462
#130717742
#130717722
#130717682
#130717092
#130717072
#130716792
#130716772
#130716372
#130716362
#130716292
#130716272
#130715862
#130715842
#130715142
#130715122
#130714132
#130714122
#130714032
#130714022
#130713062
#130713022
#130712902
#130712892
#130712832
#130712822
#130712202
#130711262
#130710952
C11×#23772
#3441811