Finite Group Databasebeta

← #14916694

Subgroups — #14916694

Order 2816.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#123C211yesmaximal, characteristic
2#13071765C211yesmaximal, characteristic, complemented
3#13071763C211yesmaximal, characteristic, complemented
4#13071761C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071614C211yesmaximal, characteristic, complemented
7#13071610C211yesmaximal, characteristic, complemented
8#13071606C211yesmaximal, characteristic, complemented
9#13071602C211yesmaximal, characteristic, complemented
10#13071492C211yesmaximal, characteristic, complemented
11#13071490C211yesmaximal, characteristic, complemented
12#13071463C211yesmaximal, characteristic, complemented
13#13071463C211yesmaximal, characteristic, complemented
14#13071460C211yesmaximal, characteristic, complemented
15#13071459C211yesmaximal, characteristic, complemented
16#13071434C211yesmaximal, characteristic
17D4×(C2×D11)⋊C4C211yesmaximal, characteristic
18#13071413C211yesmaximal, characteristic, complemented
19#13071409C211yesmaximal, characteristic, complemented
20#13071405C211yesmaximal, characteristic, complemented
21#13071401C211yesmaximal, characteristic, complemented
22#13071288C211yesmaximal, characteristic, complemented
23#13071285C211yesmaximal, characteristic, complemented
24#13071282C211yesmaximal, characteristic, complemented
25#13071231C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071215C211yesmaximal, characteristic, complemented
28#13071210C211yesmaximal, characteristic, complemented
29#13070996C211yesmaximal, characteristic, complemented
30C2×#10622600C211yesmaximal, characteristic, complemented
31C11×#2322C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C11×C4⋊C4C2211yescharacteristic, complemented
37C2×#66988C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×C4⋊Dic11C2211yescharacteristic, complemented
45D11×#123C4116yescomplemented
46C2×#66947C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×#66939C2211yescharacteristic
52C2×#66936C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×#66930C2211yescharacteristic, complemented
60C2×#66930C2211yescharacteristic, complemented
61C2×#66925C2211yescharacteristic
62C11×#389C2211yescharacteristic, complemented
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#385C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic, complemented
71C11×#385C2211yescharacteristic, complemented
72C11×#381C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622824C2211yescharacteristic, complemented
78#10622823C2211yescharacteristic, complemented
79#10622823C2211yescharacteristic, complemented
80C4×C22⋊Dic11C2211yescharacteristic, complemented
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82C2×C11⋊#95C2211yescharacteristic, complemented
83C2×C11⋊#95C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622601C2211yescharacteristic
93#10622600C2211yescharacteristic
94#10622600C2211yescharacteristic
95#10622600C2211yescharacteristic
96#10622600C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622600C2211yescharacteristic, complemented
100#10622600C2211yescharacteristic, complemented
101#10622600C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622598C2211yescharacteristic, complemented
104#10622598C2211yescharacteristic, complemented
105#10622594C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110C4⋊C4×Dic11C2211yescharacteristic, complemented
111#10622586C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622564C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622563C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622559C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622558C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134C22⋊C4×Dic11C2211yescharacteristic, complemented
135C22⋊C4×Dic11C2211yescharacteristic, complemented
136C22⋊C4×Dic11C2211yescharacteristic, complemented
137#10622553C2211yescharacteristic, complemented
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622552C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142C4×(C2×D11)⋊C4C2211yescharacteristic
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×C4⋊Dic11C2211yescharacteristic, complemented
145#10622546C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622283C2211yescharacteristic, complemented
152#10622283C2211yescharacteristic, complemented
153#10622282C2211yescharacteristic, complemented
154#10622282C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic, complemented
170#10622279C2211yescharacteristic, complemented
171#10622279C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×D4×D11—42no—
202C2×D4×D11—42no—
203C2×D4×D11C2×C418yes—
204C22×D44C2311yescharacteristic
205C22×C4×D11—42no—
206C22×C4×D11—42no—
207C22×C4×D11C2×C418yescomplemented
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C11×#123C2×C418yescomplemented
218C4×D4×C11—42no—
219C2×C11×C4⋊C4—42no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248#66988C2×C418yescomplemented
249D4×Dic11—42no—
250#66982C2×C418yescomplemented
251C4×C22⋊D11—42no—
252C2×(C2×D11)⋊C4—42no—
253C2×(C2×D11)⋊C4—42no—
254C2×(C2×D11)⋊C4—42no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11—42no—
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×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320#66947C2×C418yescomplemented
321#66947C2×C418yescomplemented
322#66945—42no—
323C4⋊C4×D11C2×C418yescomplemented
324C4⋊C4×D11C2×C418yescomplemented
325#66939C2×C418yescomplemented
326#66936C2×C418yescomplemented
327#66936C2×C418yescomplemented
328(C22⋊D11)⋊C4—42no—
329C22⋊C4×D11—42no—
330C22⋊C4×D11C2×C418yescomplemented
331C22⋊C4×D11C2×C418yescomplemented
332C22⋊C4×D11C2×C418yescomplemented
333#66930—42no—
334#66930—42no—
335#66925—42no—
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
376#34376—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—22no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11C22×C414yes—
392C23×D11C22×C414yes—
393C23×D11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11C22×C414yes—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11C22×C414yes—
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11C22×C414yes—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455D4×D11—416no—
456C2×D44—41no—
457C2×D44—41no—
458C2×D44C22×C414yes—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—416no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
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×D11C22×C414yes—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×C4×D11C22×C414yes—
485C2×C4×D11C22×C414yes—
486C2×C4×D11C22×C414yes—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4C22×C414yes—
495C11×C4⋊C4C22×C414yes—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4C22×C414yes—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11—41no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11C22×C414yes—
513C22⋊Dic11C22×C414yes—
514C22⋊Dic11C22×C414yes—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4C22×C414yes—
538(C2×D11)⋊C4C22×C414yes—
539(C2×D11)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yes—
541(C2×D11)⋊C4C22×C414yes—
542(C2×D11)⋊C4C22×C414yes—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11C22×C414yes—
551C4⋊Dic11C22×C414yes—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4C22×C414yes—
563Dic11⋊C4C22×C414yes—
564Dic11⋊C4C22×C414yes—
565Dic11⋊C4C22×C414yes—
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×Dic11—41no—
576C4×Dic11—41no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C22×#123—111no—
580#2376—111no—
581#2376—111no—
582#2376—111no—
583#2376—111no—
584#2359—111no—
585#2359—111no—
586#2359—111no—
587#2359—111no—
588#2345—111no—
589#2345—111no—
590#2342—111no—
591#2342—111no—
592#2342—111no—
593#2342—111no—
594D4×C22⋊C4—111no—
595D4×C22⋊C4—111no—
596#2335—111no—
597#2335—111no—
598#2335—111no—
599#2335—111no—
600#2322—111no—
601#2322—111no—
602#2322—111no—
603#2322D1111yescharacteristic, complemented
604#2316—111no—
605#2315—111no—
606#2313—111no—
607#2312—111no—
608#2280—111no—
609C2×#380—111no—
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×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11H(5,𝔽2)12yes—
623C23×C11H(5,𝔽2)12yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—28no—
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×D11—28no—
643C22×D11—28no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—82no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11C23×C412yes—
656C22×D11C23×C412yes—
657C22×D11C23×C412yes—
658C22×D11H(5,𝔽2)12yes—
659C22×D112−1+412yes—
660D4×C11—28no—
661C2×C4×C11—28no—
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—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—82no—
697C2×C4×C11—82no—
698C2×C4×C11—82no—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11C23×C412yes—
704C22⋊D11—28no—
705C22⋊D11—44no—
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—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—82no—
742C2×Dic11—82no—
743C2×Dic11—82no—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C23×C412yes—
747C2×Dic11C23×C412yes—
748C2×Dic11C23×C412yes—
749D44—44no—
750C4×D11—28no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—82no—
758C4×D11—82no—
759C23×D4—111no—
760C24×C4—111no—
761C2×#123—111no—
762C2×#123—111no—
763C2×#123—1116no—
764C2×#123—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×#123C2×D1111yescharacteristic
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4C2×D1111yescharacteristic
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C4⋊C4—111no—
781C22×C4⋊C4C2×D1111yescharacteristic, complemented
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4—111no—
788C22×C22⋊C4—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
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#389C2×D1111yescharacteristic, complemented
804#389C2×D1111yescharacteristic, complemented
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#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388C2×D1111yescharacteristic, complemented
828#388C2×D1111yescharacteristic, complemented
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387C2×D1111yescharacteristic, complemented
844#387C2×D1111yescharacteristic, complemented
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
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#385C2×D1111yescharacteristic, complemented
867#385C2×D1111yescharacteristic, complemented
868#385C2×D1111yescharacteristic, complemented
869#381—111no—
870#381—111no—
871#381—111no—
872#381C2×D1111yescharacteristic, complemented
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#380—111no—
880#380—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊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—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4C2×D1111yescharacteristic, complemented
913C2×#95—111no—
914C2×#95—111no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11#51814yes—
929C22×C11C24×C411yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11C2×H(5,𝔽2)11yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11C2×2−1+411yescharacteristic
934C22×C11#58511yescharacteristic
935C22×C11#58511yescharacteristic
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—416no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—88no—
958C2×D11#52014yes—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985C25—111no—
986C25—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—118no—
990C22×D4—111no—
991C22×D4—442no—
992C22×D4—442no—
993C22×D4C22×D1111yescharacteristic
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—118no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—442no—
1009C23×C4—442no—
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
1014#123—118no—
1015#123—118no—
1016#123—118no—
1017#123—118no—
1018#123—118no—
1019#123—118no—
1020#123—118no—
1021#123C4×D1118yescomplemented
1022C4×D4—42no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026#117—442no—
1027#117—442no—
1028#117—442no—
1029#117—442no—
1030C2×C4⋊C4—42no—
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—118no—
1038C2×C4⋊C4—118no—
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—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
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×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
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—118no—
1076C2×C22⋊C4—118no—
1077C2×C22⋊C4—118no—
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⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—442no—
1106C2×C22⋊C4—442no—
1107C2×C22⋊C4—442no—
1108C2×C22⋊C4—442no—
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42C22×D1111yescharacteristic
1131C2×C42C22×D1111yescharacteristic
1132C2×C42C22×D1111yescharacteristic
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#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173C2×C11—24no—
1174C2×C11—42no—
1175C2×C11C2×#51811yescharacteristic
1176C2×C11C2×#52011yescharacteristic
1177C2×C11#342811yescharacteristic
1178C2×C11#353411yescharacteristic
1179C2×C11#353411yescharacteristic
1180C2×C11#353511yescharacteristic
1181C2×C11#353511yescharacteristic
1182D11—24no—
1183D11—42no—
1184D11—42no—
1185C24—111no—
1186C24—111no—
1187C24—111no—
1188C24—114no—
1189C24—114no—
1190C24—222no—
1191C24—222no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—441no—
1197C24—441no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24C23×D1111yescharacteristic
1203C24C23×D1111yescharacteristic
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—114no—
1207C2×D4—114no—
1208C2×D4—114no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C2×D4—4416no—
1216C2×D4C2×C4×D1114yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—114no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—4416no—
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×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4C2×C4×D1114yes—
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—114no—
1303C4⋊C4—114no—
1304C4⋊C4—114no—
1305C4⋊C4—114no—
1306C4⋊C4—114no—
1307C4⋊C4—114no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4C2×C4×D1114yes—
1326C4⋊C4C2×C4×D1114yes—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—114no—
1333C22⋊C4—114no—
1334C22⋊C4—114no—
1335C22⋊C4—114no—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—222no—
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—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4C2×C4×D1114yes—
1369C22⋊C4C2×C4×D1114yes—
1370C22⋊C4C2×C4×D1114yes—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C11#3437611yescharacteristic, complemented, Sylow
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—112no—
1402C23—112no—
1403C23—228no—
1404C23—228no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—228no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—444no—
1423C23—444no—
1424C23—444no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—882no—
1430C23—882no—
1431C23—882no—
1432C23—882no—
1433C23C22×C4×D1112yes—
1434C23C22×C4×D1112yes—
1435C23#6703712yes—
1436C23#6704212yes—
1437C23C24×D1111yescharacteristic
1438D4—28no—
1439D4—228no—
1440D4—444no—
1441D4—444no—
1442C2×C4—28no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—228no—
1486C2×C4—228no—
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—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—882no—
1528C2×C4—882no—
1529C2×C4—882no—
1530C2×C4—882no—
1531C2×C4—882no—
1532C2×C4C22×C4×D1112yes—
1533C2×C4C22×C4×D1112yes—
1534C2×C4C22×C4×D1112yes—
1535C2×C4C22×C4×D1112yes—
1536C2×C4C22×C4×D1112yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—114no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—4416no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—888no—
1573C22#1062307614yes—
1574C22C23×C4×D1111yescharacteristic
1575C22C2×#6703711yescharacteristic
1576C22C2×#6704211yescharacteristic
1577C22D11×H(5,𝔽2)11yescharacteristic
1578C22#1062345511yescharacteristic
1579C22D11×2−1+411yescharacteristic
1580C22#1062345711yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—222no—
1598C4—222no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C2—24no—
1608C2—42no—
1609C2—224no—
1610C2—442no—
1611C2—442no—
1612C2C2×#1062307611yescharacteristic
1613C2D11×#52011yescharacteristic
1614C2#1308181611yescharacteristic
1615C2#1308279611yescharacteristic
1616C2#1308280411yescharacteristic
1617C2#1308281511yescharacteristic
1618C2#1308282311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2322C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2322D11
hypocenterC11#34376
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
2. #13071765C2semidirect
3. #13071763C2semidirect
4. #13071761C2semidirect
5. #13071758C2semidirect
6. #13071614C2semidirect
7. #13071610C2semidirect
8. #13071606C2semidirect
9. #13071602C2semidirect
10. #13071492C2semidirect
11. #13071490C2semidirect
12. #13071463C2semidirect
13. #13071463C2semidirect
14. #13071460C2semidirect
15. #13071459C2semidirect
18. #13071413C2semidirect
19. #13071409C2semidirect
20. #13071405C2semidirect
21. #13071401C2semidirect
22. #13071288C2semidirect
23. #13071285C2semidirect
24. #13071282C2semidirect
25. #13071231C2semidirect
26. #13071227C2semidirect
27. #13071215C2semidirect
28. #13071210C2semidirect
29. #13070996C2semidirect
30. C2×#10622600C2semidirect
31. C11×#2322C2semidirect
36. C22×C11×C4⋊C4C22semidirect
44. C22×C4⋊Dic11C22semidirect
45. D11×#123C4semidirect
59. C2×#66930C22semidirect
60. C2×#66930C22semidirect
62. C11×#389C22semidirect
63. C11×#389C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
69. C11×#385C22semidirect
70. C11×#385C22semidirect
71. C11×#385C22semidirect
72. C11×#381C22semidirect
73. C4×C11×C22⋊C4C22semidirect
77. #10622824C22semidirect
78. #10622823C22semidirect
79. #10622823C22semidirect
80. C4×C22⋊Dic11C22semidirect
81. C4×C22⋊Dic11C22semidirect
82. C2×C11⋊#95C22semidirect
83. C2×C11⋊#95C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
99. #10622600C22semidirect
100. #10622600C22semidirect
101. #10622600C22semidirect
102. #10622600C22semidirect
103. #10622598C22semidirect
104. #10622598C22semidirect
105. #10622594C22semidirect
106. #10622594C22semidirect
107. #10622591C22semidirect
108. #10622591C22semidirect
109. #10622591C22semidirect
110. C4⋊C4×Dic11C22semidirect
111. #10622586C22semidirect
112. #10622585C22semidirect
113. #10622585C22semidirect
114. #10622585C22semidirect
123. #10622564C22semidirect
124. #10622564C22semidirect
125. #10622563C22semidirect
126. #10622563C22semidirect
127. #10622563C22semidirect
128. #10622559C22semidirect
129. #10622559C22semidirect
130. #10622558C22semidirect
131. #10622558C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. C22⋊C4×Dic11C22semidirect
135. C22⋊C4×Dic11C22semidirect
136. C22⋊C4×Dic11C22semidirect
137. #10622553C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×C4⋊Dic11C22semidirect
145. #10622546C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. #10622541C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622283C22semidirect
152. #10622283C22semidirect
153. #10622282C22semidirect
154. #10622282C22semidirect
155. #10622282C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
163. #10622280C22semidirect
164. #10622280C22semidirect
169. #10622279C22semidirect
170. #10622279C22semidirect
171. #10622279C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622260C22semidirect
207. C22×C4×D11C2×C4semidirect
217. C11×#123C2×C4semidirect
248. #66988C2×C4semidirect
250. #66982C2×C4semidirect
320. #66947C2×C4semidirect
321. #66947C2×C4semidirect
323. C4⋊C4×D11C2×C4semidirect
324. C4⋊C4×D11C2×C4semidirect
325. #66939C2×C4semidirect
326. #66936C2×C4semidirect
327. #66936C2×C4semidirect
330. C22⋊C4×D11C2×C4semidirect
331. C22⋊C4×D11C2×C4semidirect
332. C22⋊C4×D11C2×C4semidirect
603. #2322D11semidirect
781. C22×C4⋊C4C2×D11semidirect
803. #389C2×D11semidirect
804. #389C2×D11semidirect
827. #388C2×D11semidirect
828. #388C2×D11semidirect
843. #387C2×D11semidirect
844. #387C2×D11semidirect
866. #385C2×D11semidirect
867. #385C2×D11semidirect
868. #385C2×D11semidirect
872. #381C2×D11semidirect
912. C4×C22⋊C4C2×D11semidirect
1021. #123C4×D11semidirect
1387. C11#34376semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1232
#130717652
#130717632
#130717612
#130717582
#130716142
#130716102
#130716062
#130716022
#130714922
#130714902
#130714632
#130714602
#130714592
#130714342
D4×(C2×D11)⋊C42
#130714132
#130714092
#130714052
#130714012
#130712882
#130712852
#130712822
#130712312
#130712272
#130712152
#130712102
#130709962
C2×#106226002
C11×#23222
#3437611