Finite Group Databasebeta

← #14913703

Subgroups — #14913703

Order 2816.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623192C211yesmaximal, characteristic
2#13071750C211yesmaximal, characteristic, complemented
3#13071743C211yesmaximal, characteristic, complemented
4#13071730C211yesmaximal, characteristic, complemented
5#13071713C211yesmaximal, characteristic, complemented
6#13071667C211yesmaximal, characteristic, complemented
7#13071665C211yesmaximal, characteristic, complemented
8#13071651C211yesmaximal, characteristic, complemented
9#13071629C211yesmaximal, characteristic, complemented
10#13071590C211yesmaximal, characteristic, complemented
11#13071559C211yesmaximal, characteristic, complemented
12#13071555C211yesmaximal, characteristic, complemented
13#13071544C211yesmaximal, characteristic, complemented
14#13071506C211yesmaximal, characteristic, complemented
15#13071490C211yesmaximal, characteristic, complemented
16#13071173C211yesmaximal, characteristic, complemented
17#13071170C211yesmaximal, characteristic, complemented
18#13071166C211yesmaximal, characteristic, complemented
19#13071143C211yesmaximal, characteristic, complemented
20#123×Dic11C211yesmaximal, characteristic, complemented
21#13071132C211yesmaximal, characteristic, complemented
22#13071128C211yesmaximal, characteristic, complemented
23#13071128C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25C4×#66946C211yesmaximal, characteristic, complemented
26C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
29C4×#66930C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2374C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66991C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41#10623192C4116yescomplemented
42C2×#66951C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×#66942C2211yescharacteristic
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×#66932C2211yescharacteristic
59C2×#66930C2211yescharacteristic
60C2×#66930C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C11×#390C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#388C2211yescharacteristic
70C11×#388C2211yescharacteristic
71C11×#387C2211yescharacteristic
72C11×#387C2211yescharacteristic
73C11×#386C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic
75C4×C11×C4⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C4×C11×C22⋊C4C2211yescharacteristic
78C4×C11×C22⋊C4C2211yescharacteristic
79C4×C11×C22⋊C4C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622824C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622591C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622555C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134#10622546C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146C42×Dic11C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622277C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×D44C2311yescharacteristic
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×#123C2×C418yescomplemented
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊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×C42×C11C2311yescharacteristic
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×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241#66992C2×C418yescomplemented
242#66991C2×C418yescomplemented
243D4×Dic11—42no—
244C4×C22⋊D11—24no—
245C4×C22⋊D11C2×C418yescomplemented
246C4×C22⋊D11C2×C418yescomplemented
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
282C2×C4×Dic11—24no—
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×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66951C2×C418yescomplemented
313#66946—24no—
314#66946C2×C418yescomplemented
315C4⋊C4×D11—24no—
316C4⋊C4×D11C2×C418yescomplemented
317#66942C2×C418yescomplemented
318#66937C2×C418yescomplemented
319#66937C2×C418yescomplemented
320#66936C2×C418yescomplemented
321(C22⋊D11)⋊C4—24no—
322(C22⋊D11)⋊C4—24no—
323(C22⋊D11)⋊C4—24no—
324(C22⋊D11)⋊C4—24no—
325(C22⋊D11)⋊C4—24no—
326(C22⋊D11)⋊C4—42no—
327(C22⋊D11)⋊C4C2×C418yescomplemented
328#66932C2×C418yescomplemented
329#66930—24no—
330#66930C2×C418yescomplemented
331C4×D44—24no—
332C42×D11—24no—
333C42×D11—42no—
334C42×D11—42no—
335C42×D11—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
376C4×#553—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11C22×C414yes—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11C22×C414yes—
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
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11C22×C414yes—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C2×C22⋊D11C22×C414yes—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—41no—
426C22×Dic11C22×C414yes—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C2×D44—22no—
442C2×D44—22no—
443C2×D44C22×C414yes—
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—22no—
458C2×C4×D11—22no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
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×D11C22×C414yes—
470C2×C4×D11C22×C414yes—
471C2×C4×D11C22×C414yes—
472C2×C4×D11C22×C414yes—
473C2×C4×D11#4114yes—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4C22×C414yes—
478C11×C4⋊C4C22×C414yes—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4C22×C414yes—
487C11×C22⋊C4C22×C414yes—
488C11×C22⋊C4C22×C414yes—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—41no—
492C42×C11—41no—
493C42×C11—41no—
494C42×C11—41no—
495C42×C11—41no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11C22×C414yes—
502C22⋊Dic11C22×C414yes—
503C22⋊Dic11C22×C414yes—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4C22×C414yes—
514(C2×D11)⋊C4C22×C414yes—
515(C2×D11)⋊C4C22×C414yes—
516(C2×D11)⋊C4C22×C414yes—
517(C2×D11)⋊C4#4114yes—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—41no—
521C4⋊Dic11C22×C414yes—
522C4⋊Dic11C22×C414yes—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4C22×C414yes—
533Dic11⋊C4C22×C414yes—
534Dic11⋊C4C22×C414yes—
535Dic11⋊C4C22×C414yes—
536Dic11⋊C4C22×C414yes—
537Dic11⋊C4C22×C414yes—
538Dic11⋊C4#4114yes—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11C22×C414yes—
564C4×Dic11C22×C414yes—
565C4×Dic11C22×C414yes—
566C4×Dic11#4114yes—
567C2×#553—111no—
568#2374—111no—
569#2374D1111yescharacteristic, complemented
570#2373—111no—
571#2373—111no—
572#2370—111no—
573#2364—111no—
574#2364—111no—
575#2363—111no—
576#2361—111no—
577#2357—111no—
578#2353—111no—
579#2353—111no—
580#2352—111no—
581#2347—111no—
582#2345—111no—
583C4×#125—111no—
584C4×#126—111no—
585C4×#126—111no—
586C4×#123—111no—
587C4×#123—111no—
588C4×#121—111no—
589C4×#121—111no—
590C4×#121—111no—
591C4×#121—111no—
592C42×D4—111no—
593C42×D4—111no—
594C42×D4—111no—
595C42×D4—111no—
596C4×#117—111no—
597C2×C4×C4⋊C4—111no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11C23×C412yes—
611C23×C11C23×C412yes—
612C23×C11C2511yescharacteristic
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11C23×C412yes—
624C22×D11C23×C412yes—
625C22×D11C2×#4112yes—
626C22×D11C2×#4112yes—
627D4×C11—44no—
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—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—44no—
659C2×C4×C11—44no—
660C2×C4×C11C23×C412yes—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C11C23×C412yes—
664C2×C4×C11C23×C412yes—
665C2×C4×C11C2×#4112yes—
666C2×C4×C11C2×#4112yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C22⋊D11—28no—
670C22⋊D11—28no—
671C22⋊D11—28no—
672C22⋊D11—44no—
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—28no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
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—44no—
704C2×Dic11—44no—
705C2×Dic11—44no—
706C2×Dic11C23×C412yes—
707C2×Dic11C23×C412yes—
708C2×Dic11C23×C412yes—
709C2×Dic11C23×C412yes—
710C2×Dic11C23×C412yes—
711C2×Dic11C23×C412yes—
712C2×Dic11C2×#4112yes—
713C2×Dic11C2×#4112yes—
714C2×Dic11C2×#4112yes—
715C2×Dic11C2×#4112yes—
716C2×Dic11C2×#4112yes—
717C2×Dic11C2×#4112yes—
718C2×Dic11H(5,𝔽2)12yes—
719D44—28no—
720C4×D11—28no—
721C4×D11—28no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730#553—1116no—
731C2×#126—111no—
732C2×#126—111no—
733C2×#125—111no—
734C2×#123—111no—
735C2×#123C2×D1111yescharacteristic
736C2×#121—111no—
737C2×#121—111no—
738C2×#121—111no—
739C2×#121—111no—
740C2×C4×D4—111no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×#117—111no—
755C2×#117—111no—
756C22×C4⋊C4—111no—
757C22×C4⋊C4—111no—
758C22×C42—111no—
759C22×C42—111no—
760C22×C42—111no—
761C22×C42—111no—
762C22×C42—111no—
763C22×C42—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390C2×D1111yescharacteristic
768#389—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—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#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic
805#387C2×D1111yescharacteristic
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386C2×D1111yescharacteristic
816#385—111no—
817#385—111no—
818#383—111no—
819#383—111no—
820#382—111no—
821#381—111no—
822#381—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
850C4×C4⋊C4C2×D1111yescharacteristic
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
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⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4C2×D1111yescharacteristic
876C4×C22⋊C4C2×D1111yescharacteristic
877C4×C22⋊C4C2×D1111yescharacteristic
878C4×C22⋊C4C2×D1111yescharacteristic
879#376—111no—
880#376—111no—
881C2×#95—111no—
882C2×#95—111no—
883C43—111no—
884C43—111no—
885C43—111no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11C24×C411yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11C4×#4114yes—
921C4×C11—22no—
922C4×C11—22no—
923C4×C11—22no—
924C4×C11—22no—
925C4×C11—22no—
926C4×C11—22no—
927C4×C11—22no—
928C4×C11—22no—
929C4×C11—22no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934Dic11—22no—
935Dic11—22no—
936Dic11—22no—
937Dic11—22no—
938Dic11—22no—
939Dic11—22no—
940Dic11—22no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945Dic11—41no—
946Dic11C4×#4114yes—
947Dic11#55314yescomplemented
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C22×D4C22×D1111yescharacteristic
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4C22×D1111yescharacteristic
969C23×C4C22×D1111yescharacteristic
970#126—118no—
971#126—118no—
972#125—118no—
973#123—118no—
974#123C4×D1118yescomplemented
975#121—118no—
976#121—118no—
977#121—118no—
978#121—118no—
979C4×D4—118no—
980C4×D4—118no—
981C4×D4—118no—
982C4×D4—118no—
983C4×D4—224no—
984C4×D4—224no—
985C4×D4—224no—
986C4×D4—224no—
987C4×D4—224no—
988C4×D4—224no—
989C4×D4—224no—
990C4×D4—224no—
991C4×D4—442no—
992C4×D4—442no—
993#117—118no—
994#117—224no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—118no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—224no—
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C4⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
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—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—224no—
1084C2×C42—224no—
1085C2×C42—442no—
1086C2×C42—442no—
1087C2×C42—442no—
1088C2×C42—442no—
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
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#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136C2×C11—42no—
1137C2×C11—42no—
1138C2×C11C2×C4×#4111yescharacteristic
1139C2×C11C2×C4×#4111yescharacteristic
1140C2×C11C4×H(5,𝔽2)11yescharacteristic
1141C2×C11C2×#55311yescharacteristic
1142C2×C11#347511yescharacteristic
1143C2×C11#348011yescharacteristic
1144C2×C11#348111yescharacteristic
1145D11—24no—
1146D11—42no—
1147C24—111no—
1148C24—111no—
1149C24C23×D1111yescharacteristic
1150C24C23×D1111yescharacteristic
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—114no—
1154C2×D4—114no—
1155C2×D4—114no—
1156C2×D4—114no—
1157C2×D4—114no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4C2×C4×D1114yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—114no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—114no—
1185C22×C4—114no—
1186C22×C4—114no—
1187C22×C4—114no—
1188C22×C4—114no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
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—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4C2×C4×D1114yes—
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—41no—
1247C4⋊C4—114no—
1248C4⋊C4—114no—
1249C4⋊C4—114no—
1250C4⋊C4—114no—
1251C4⋊C4—114no—
1252C4⋊C4—114no—
1253C4⋊C4—114no—
1254C4⋊C4—114no—
1255C4⋊C4—114no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4C2×C4×D1114yes—
1269C4⋊C4C2×C4×D1114yes—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—41no—
1277C22⋊C4—114no—
1278C22⋊C4—114no—
1279C22⋊C4—114no—
1280C22⋊C4—114no—
1281C22⋊C4—114no—
1282C22⋊C4—114no—
1283C22⋊C4—114no—
1284C22⋊C4—114no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4C2×C4×D1114yes—
1300C22⋊C4C2×C4×D1114yes—
1301C22⋊C4C2×C4×D1114yes—
1302C42—22no—
1303C42—22no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—114no—
1310C42—114no—
1311C42—114no—
1312C42—114no—
1313C42—222no—
1314C42—222no—
1315C42—222no—
1316C42—222no—
1317C42—222no—
1318C42—222no—
1319C42—222no—
1320C42—222no—
1321C42—222no—
1322C42—222no—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—441no—
1332C42—441no—
1333C42—441no—
1334C42—441no—
1335C42—441no—
1336C42—441no—
1337C11C4×#55311yescharacteristic, complemented, Sylow
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—112no—
1351C23—112no—
1352C23—112no—
1353C23—112no—
1354C23—221no—
1355C23—221no—
1356C23—221no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23C22×C4×D1112yes—
1365C23C22×C4×D1112yes—
1366C23C24×D1111yescharacteristic
1367D4—44no—
1368D4—228no—
1369D4—228no—
1370D4—228no—
1371D4—228no—
1372D4—444no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—112no—
1406C2×C4—112no—
1407C2×C4—112no—
1408C2×C4—112no—
1409C2×C4—112no—
1410C2×C4—112no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—112no—
1414C2×C4—112no—
1415C2×C4—112no—
1416C2×C4—112no—
1417C2×C4—112no—
1418C2×C4—228no—
1419C2×C4—228no—
1420C2×C4—228no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4—444no—
1459C2×C4—444no—
1460C2×C4—444no—
1461C2×C4C22×C4×D1112yes—
1462C2×C4C22×C4×D1112yes—
1463C2×C4C22×C4×D1112yes—
1464C2×C4C22×C4×D1112yes—
1465C2×C4C22×C4×D1112yes—
1466C2×C4#41×D1112yes—
1467C2×C4#41×D1112yes—
1468C2×C4#41×D1112yes—
1469C2×C4#41×D1112yes—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—114no—
1485C22—222no—
1486C22—222no—
1487C22—222no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—222no—
1492C22—222no—
1493C22—222no—
1494C22—441no—
1495C22—441no—
1496C22—441no—
1497C22—441no—
1498C22C23×C4×D1111yescharacteristic
1499C22C2×#41×D1111yescharacteristic
1500C22C2×#41×D1111yescharacteristic
1501C22C2×#41×D1111yescharacteristic
1502C22C2×#41×D1111yescharacteristic
1503C22D11×H(5,𝔽2)11yescharacteristic
1504C22#1062345511yescharacteristic
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—114no—
1519C4—114no—
1520C4—222no—
1521C4—222no—
1522C4—222no—
1523C4—222no—
1524C4—222no—
1525C4—222no—
1526C4—222no—
1527C4—441no—
1528C4—441no—
1529C4—441no—
1530C4—441no—
1531C4—441no—
1532C2—42no—
1533C2—42no—
1534C2—224no—
1535C2—442no—
1536C2C4×#41×D1111yescharacteristic
1537C2C4×#41×D1111yescharacteristic
1538C2#1308182011yescharacteristic
1539C2D11×#55311yescharacteristic
1540C2#1308217111yescharacteristic
1541C2#1308221211yescharacteristic
1542C2#1308222311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2374C2
socle, cosocleC23×C11C25
prime radicalC2×#10623192C2
hypercenter#2374D11
hypocenterC11C4×#553
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. #13071750C2semidirect
3. #13071743C2semidirect
4. #13071730C2semidirect
5. #13071713C2semidirect
6. #13071667C2semidirect
7. #13071665C2semidirect
8. #13071651C2semidirect
9. #13071629C2semidirect
10. #13071590C2semidirect
11. #13071559C2semidirect
12. #13071555C2semidirect
13. #13071544C2semidirect
14. #13071506C2semidirect
15. #13071490C2semidirect
16. #13071173C2semidirect
17. #13071170C2semidirect
18. #13071166C2semidirect
19. #13071143C2semidirect
20. #123×Dic11C2semidirect
21. #13071132C2semidirect
22. #13071128C2semidirect
23. #13071128C2semidirect
24. #13071126C2semidirect
25. C4×#66946C2semidirect
26. C4×(C22⋊D11)⋊C4C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×(C22⋊D11)⋊C4C2semidirect
29. C4×#66930C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2374C2semidirect
41. #10623192C4semidirect
210. C11×#123C2×C4semidirect
241. #66992C2×C4semidirect
242. #66991C2×C4semidirect
245. C4×C22⋊D11C2×C4semidirect
246. C4×C22⋊D11C2×C4semidirect
312. #66951C2×C4semidirect
314. #66946C2×C4semidirect
316. C4⋊C4×D11C2×C4semidirect
317. #66942C2×C4semidirect
318. #66937C2×C4semidirect
319. #66937C2×C4semidirect
320. #66936C2×C4semidirect
327. (C22⋊D11)⋊C4C2×C4semidirect
328. #66932C2×C4semidirect
330. #66930C2×C4semidirect
569. #2374D11semidirect
947. Dic11#553semidirect
974. #123C4×D11semidirect
1337. C11C4×#553semidirect

Maximal subgroups

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

subgroupindex
C2×#106231922
#130717502
#130717432
#130717302
#130717132
#130716672
#130716652
#130716512
#130716292
#130715902
#130715592
#130715552
#130715442
#130715062
#130714902
#130711732
#130711702
#130711662
#130711432
#123×Dic112
#130711322
#130711282
#130711262
C4×#669462
C4×(C22⋊D11)⋊C42
C4×#669302
C4×C4⋊C4×D112
C11×#23742
C4×#55311