Finite Group Databasebeta

← #14922237

Subgroups — #14922237

Order 2816.

2548 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C211yesmaximal, characteristic, complemented
2C2×#10623053C211yesmaximal, characteristic, complemented
3#13072817C211yesmaximal, characteristic, complemented
4#13072789C211yesmaximal, characteristic, complemented
5#13072781C211yesmaximal, characteristic, complemented
6#13072614C211yesmaximal, characteristic, complemented
7#13072609C211yesmaximal, characteristic, complemented
8#13072574C211yesmaximal, characteristic, complemented
9#13072566C211yesmaximal, characteristic, complemented
10#13072461C211yesmaximal, characteristic, complemented
11#13072387C211yesmaximal, characteristic, complemented
12#13072304C211yesmaximal, characteristic, complemented
13#13072242C211yesmaximal, characteristic, complemented
14#13072186C211yesmaximal, characteristic, complemented
15#13072112C211yesmaximal, characteristic, complemented
16#13072042C211yesmaximal, characteristic, complemented
17#13071958C211yesmaximal, characteristic
18#13071905C211yesmaximal, characteristic, complemented
19#13071898C211yesmaximal, characteristic, complemented
20#13071859C211yesmaximal, characteristic, complemented
21#13071853C211yesmaximal, characteristic, complemented
22#13071157C211yesmaximal, characteristic, complemented
23#13071154C211yesmaximal, characteristic, complemented
24#13071150C211yesmaximal, characteristic, complemented
25#13071148C211yesmaximal, characteristic, complemented
26#13071126C211yesmaximal, characteristic, complemented
27#13071089C211yesmaximal, characteristic, complemented
28#13071058C211yesmaximal, characteristic, complemented
29#13071056C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2477C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic
37C2×#66997C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44#10623153—28no—
45#10623053—28no—
46C2×#66949C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66941C2211yescharacteristic
52C2×#66940C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×#66940C2211yescharacteristic
55C2×#66940C2211yescharacteristic
56C2×#66938C2211yescharacteristic
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×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66930C2211yescharacteristic
68C2×#66930C2211yescharacteristic
69C2×#66925C2211yescharacteristic
70C2×#66925C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C11×#400C2211yescharacteristic
74C11×#397C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#393C2211yescharacteristic
77C11×#391C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#387C2211yescharacteristic
81C11×#387C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#385C2211yescharacteristic
85C4×C11×C22⋊C4C2211yescharacteristic
86#10622844C2211yescharacteristic
87#10622836C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic
92#10622607C2211yescharacteristic
93#10622604C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622595C2211yescharacteristic
99#10622594C2211yescharacteristic
100#10622593C2211yescharacteristic
101#10622591C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622566C2211yescharacteristic
118#10622565C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133#10622553C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137#10622546C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C42×Dic11C2211yescharacteristic
140#10622541C2211yescharacteristic
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622287C2211yescharacteristic
146#10622286C2211yescharacteristic
147#10622286C2211yescharacteristic
148#10622285C2211yescharacteristic
149#10622285C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622273C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×#4339—24no—
202C2×#4339—24no—
203C2×#4339—24no—
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C22⋊Q8—24no—
215C11×#117—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66999—24no—
244Q8×Dic11—24no—
245#66997—24no—
246#66992—24no—
247D4×Dic11—24no—
248C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
297C2×C4×Dic11—24no—
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
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66949—24no—
319#66946—24no—
320#66946—24no—
321#66942—24no—
322#66942—24no—
323#66941—24no—
324#66940—24no—
325#66940—24no—
326#66940—24no—
327#66940D418yescomplemented
328#66938—24no—
329(C22⋊D11)⋊C4—24no—
330(C22⋊D11)⋊C4—24no—
331(C22⋊D11)⋊C4—24no—
332(C22⋊D11)⋊C4—24no—
333(C22⋊D11)⋊C4—24no—
334(C22⋊D11)⋊C4—24no—
335(C22⋊D11)⋊C4—24no—
336#66931—24no—
337#66931—24no—
338#66931—24no—
339#66930—24no—
340#66930—24no—
341#66925—24no—
342#66925—24no—
343C42×D11—24no—
344C42×D11—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34720—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×Q8×C11—22no—
391C2×Q8×C11—22no—
392C2×Q8×C11—41no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—41no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
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
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11#4114yes—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—41no—
438C22×Dic11#4114yescomplemented
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453#4339—232no—
454C2×D44—22no—
455C2×D44—22no—
456C2×D44—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11#4114yes—
475C2×Dic22—22no—
476C2×Dic22—22no—
477C2×Dic22—22no—
478C2×Dic22—22no—
479C2×Dic22—22no—
480C2×Dic22—22no—
481C2×Dic22—22no—
482C2×Dic22—41no—
483C2×Dic22C2×D414yes—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4C2×D414yes—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—41no—
500C42×C11—22no—
501C42×C11—22no—
502C42×C11—41no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
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—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
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—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—41no—
554Dic11⋊C4C2×D414yes—
555Dic11⋊C4C2×D414yes—
556Dic11⋊C4#4114yescomplemented
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11C2×D414yes—
575C4×Dic11C2×D414yes—
576C4×Dic11C2×D414yes—
577C2×#533—111no—
578C2×C4×#41—111no—
579#2477—111no—
580#2477D1111yescharacteristic, complemented
581#2475—111no—
582#2475—111no—
583#2463—111no—
584#2463—111no—
585#2460—111no—
586#2460—111no—
587#2452—111no—
588#2446—111no—
589#2439—111no—
590#2432—111no—
591#2427—111no—
592#2421—111no—
593#2415—111no—
594#2407—111no—
595#2398—111no—
596#2398—111no—
597#2392—111no—
598#2392—111no—
599C4×#124—111no—
600C4×C22⋊Q8—111no—
601C4×C22⋊Q8—111no—
602C4×C22⋊Q8—111no—
603C4×#121—111no—
604#2295—111no—
605#2290—111no—
606#2290—111no—
607C42×D4—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×C11C2×#4112yes—
621C23×C11C2×#4112yes—
622C23×C11C2511yescharacteristic
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11C2×#4112yes—
636C22×D11C2×#4112yes—
637Q8×C11—44no—
638D4×C11—44no—
639C2×C4×C11—28no—
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—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—44no—
675C2×C4×C11C22×D412yes—
676C2×C4×C11C22×D412yes—
677C2×C4×C11C22×D412yes—
678C2×C4×C11C2×#4112yes—
679C2×C4×C11C2×#4112yes—
680C22⋊D11—28no—
681C22⋊D11—28no—
682C22⋊D11—28no—
683C22⋊D11—44no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—28no—
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—21no—
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—44no—
717C2×Dic11—44no—
718C2×Dic11—44no—
719C2×Dic11C22×D412yes—
720C2×Dic11C22×D412yes—
721C2×Dic11C22×D412yes—
722C2×Dic11C22×D412yes—
723C2×Dic11C2×#4112yes—
724C2×Dic11C2×#4112yes—
725C2×Dic11C2×#4112yes—
726C2×Dic11C2×#4112yes—
727C2×Dic11C2×#4112yes—
728C2×Dic11C2×#4112yes—
729C2×Dic112−1+412yes—
730D44—28no—
731C4×D11—28no—
732C4×D11—28no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737Dic22—28no—
738Dic22—44no—
739Dic22—44no—
740C22×#41—111no—
741#533—228no—
742C2×C4⋊Q8—111no—
743C2×C4⋊Q8—111no—
744C2×#125—111no—
745C2×#125—111no—
746C2×#124—111no—
747C2×C22⋊Q8—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8—111no—
750C2×C22⋊Q8—111no—
751C2×C22⋊Q8—111no—
752C2×C22⋊Q8—111no—
753C2×C22⋊Q8C2×D1111yescharacteristic
754C2×#121—111no—
755C4×#41—228no—
756C2×C4×Q8—111no—
757C2×C4×Q8—111no—
758C2×C4×Q8—111no—
759C2×C4×Q8—111no—
760C2×C4×Q8—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×#117—111no—
773C2×#117—111no—
774C2×#117—111no—
775C2×#117—111no—
776C2×#117C2×D1111yescharacteristic
777C22×C42—111no—
778C22×C42—111no—
779C22×C42—111no—
780C22×C42—111no—
781#400—111no—
782#400—111no—
783#400—111no—
784#400C2×D1111yescharacteristic
785#398—111no—
786#398—111no—
787#397—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397C2×D1111yescharacteristic
793#396—111no—
794#396—111no—
795#396—111no—
796#396—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394C2×D1111yescharacteristic
807#393—111no—
808#393—111no—
809#393—111no—
810#393C2×D1111yescharacteristic
811#392—111no—
812#392—111no—
813#391—111no—
814#391—111no—
815#391—111no—
816#391—111no—
817#391—111no—
818#391C2×D1111yescharacteristic
819#390—111no—
820#390—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389—111no—
826#389—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388C2×D1111yescharacteristic
836#388C2×D1111yescharacteristic
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387C2×D1111yescharacteristic
850#387C2×D1111yescharacteristic
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386C2×D1111yescharacteristic
856#386C2×D1111yescharacteristic
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
867#382—111no—
868#380—111no—
869#380—111no—
870#380—111no—
871#380—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4—111no—
878C4×C4⋊C4—111no—
879C4×C4⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4C2×D1111yescharacteristic
894#376—111no—
895#376—111no—
896C43—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11C23×D411yescharacteristic
912C22×C11C22×#4111yescharacteristic
913C22×C11C22×#4111yescharacteristic
914C22×C11C22×#4111yescharacteristic
915C22×C11C22×#4111yescharacteristic
916C22×C11C2×2−1+411yescharacteristic
917C22×C11#58511yescharacteristic
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11#52514yes—
958Dic11#54814yes—
959C2×#41—224no—
960C2×#41—224no—
961C2×#41—224no—
962C22×Q8—111no—
963C22×Q8—111no—
964C22×Q8—111no—
965C22×Q8C22×D1111yescharacteristic
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4C22×D1111yescharacteristic
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984C4⋊Q8—224no—
985C4⋊Q8—224no—
986#125—224no—
987#125—224no—
988#124—224no—
989C22⋊Q8—24no—
990C22⋊Q8—224no—
991C22⋊Q8—224no—
992C22⋊Q8—224no—
993C22⋊Q8—224no—
994C22⋊Q8—224no—
995C22⋊Q8—224no—
996#121—224no—
997C4×Q8—118no—
998C4×Q8—224no—
999C4×Q8—224no—
1000C4×Q8—224no—
1001C4×Q8—224no—
1002C4×D4—224no—
1003C4×D4—224no—
1004C4×D4—224no—
1005C4×D4—224no—
1006C4×D4—224no—
1007C4×D4—224no—
1008C4×D4—224no—
1009C4×D4—224no—
1010C4×D4—224no—
1011C4×D4—224no—
1012C4×D4—224no—
1013#117—24no—
1014#117—224no—
1015#117—224no—
1016#117—224no—
1017#117—224no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—111no—
1103C2×C42—111no—
1104C2×C42—111no—
1105C2×C42—111no—
1106C2×C42—111no—
1107C2×C42—111no—
1108C2×C42—224no—
1109C2×C42—224no—
1110C2×C42—224no—
1111C2×C42—224no—
1112C2×C42C22×D1111yescharacteristic
1113C2×C42C22×D1111yescharacteristic
1114C2×C42C22×D1111yescharacteristic
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#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#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155C2×C11—42no—
1156C2×C11—42no—
1157C2×C11C2×#52511yescharacteristic
1158C2×C11#344411yescharacteristic
1159C2×C11#346111yescharacteristic
1160C2×C11C2×#54811yescharacteristic
1161C2×C11D4×#4111yescharacteristic
1162C2×C11#347511yescharacteristic
1163C2×C11#348211yescharacteristic
1164D11—42no—
1165D11—42no—
1166C24—111no—
1167C24—111no—
1168C24C23×D1111yescharacteristic
1169C24C23×D1111yescharacteristic
1170#41—2232no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—41no—
1174C2×Q8—114no—
1175C2×Q8—222no—
1176C2×Q8—222no—
1177C2×Q8—222no—
1178C2×Q8—222no—
1179C2×Q8—222no—
1180C2×Q8—222no—
1181C2×Q8—222no—
1182C2×Q8—441no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—114no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—222no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—441no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—114no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
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—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
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—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—41no—
1269C4⋊C4—114no—
1270C4⋊C4—114no—
1271C4⋊C4—114no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—222no—
1284C4⋊C4—222no—
1285C4⋊C4—222no—
1286C4⋊C4—222no—
1287C4⋊C4—222no—
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—441no—
1297C4⋊C4D4×D1114yes—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—41no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C42—22no—
1335C42—22no—
1336C42—41no—
1337C42—114no—
1338C42—114no—
1339C42—114no—
1340C42—222no—
1341C42—222no—
1342C42—222no—
1343C42—222no—
1344C42—222no—
1345C42—222no—
1346C42—222no—
1347C42—222no—
1348C42—222no—
1349C42—222no—
1350C42—222no—
1351C42—222no—
1352C42—222no—
1353C42—222no—
1354C42—222no—
1355C42—222no—
1356C42—222no—
1357C11#3472011yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—112no—
1371C23—112no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23#41×D1112yes—
1385C23#41×D1112yes—
1386C23C24×D1111yescharacteristic
1387Q8—44no—
1388Q8—228no—
1389Q8—444no—
1390Q8—444no—
1391D4—44no—
1392D4—228no—
1393D4—228no—
1394D4—228no—
1395D4—228no—
1396D4—444no—
1397C2×C4—28no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
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—44no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—112no—
1439C2×C4—112no—
1440C2×C4—112no—
1441C2×C4—112no—
1442C2×C4—112no—
1443C2×C4—112no—
1444C2×C4—228no—
1445C2×C4—228no—
1446C2×C4—228no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
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—444no—
1479C2×C4—444no—
1480C2×C4—444no—
1481C2×C4—444no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4—444no—
1485C2×C4C2×D4×D1112yes—
1486C2×C4C2×D4×D1112yes—
1487C2×C4C2×D4×D1112yes—
1488C2×C4#41×D1112yes—
1489C2×C4#41×D1112yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22C22×D4×D1111yescharacteristic
1519C22C2×#41×D1111yescharacteristic
1520C22C2×#41×D1111yescharacteristic
1521C22C2×#41×D1111yescharacteristic
1522C22C2×#41×D1111yescharacteristic
1523C22#1062345511yescharacteristic
1524C22D11×2−1+411yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—114no—
1539C4—114no—
1540C4—222no—
1541C4—222no—
1542C4—222no—
1543C4—222no—
1544C4—222no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C4—441no—
1550C4—441no—
1551C4—441no—
1552C2—42no—
1553C2—42no—
1554C2—442no—
1555C2—442no—
1556C2D11×#52511yescharacteristic
1557C2#1308191011yescharacteristic
1558C2#1308204211yescharacteristic
1559C2D11×#54811yescharacteristic
1560C2#1308210011yescharacteristic
1561C2#1308217111yescharacteristic
1562C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2477C2
prime radical#13071958C2
hypercenter#2477D11
hypocenterC11#34720
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
2. C2×#10623053C2semidirect
3. #13072817C2semidirect
4. #13072789C2semidirect
5. #13072781C2semidirect
6. #13072614C2semidirect
7. #13072609C2semidirect
8. #13072574C2semidirect
9. #13072566C2semidirect
10. #13072461C2semidirect
11. #13072387C2semidirect
12. #13072304C2semidirect
13. #13072242C2semidirect
14. #13072186C2semidirect
15. #13072112C2semidirect
16. #13072042C2semidirect
18. #13071905C2semidirect
19. #13071898C2semidirect
20. #13071859C2semidirect
21. #13071853C2semidirect
22. #13071157C2semidirect
23. #13071154C2semidirect
24. #13071150C2semidirect
25. #13071148C2semidirect
26. #13071126C2semidirect
27. #13071089C2semidirect
28. #13071058C2semidirect
29. #13071056C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2477C2semidirect
327. #66940D4semidirect
438. C22×Dic11#41semidirect
556. Dic11⋊C4#41semidirect
580. #2477D11semidirect
1357. C11#34720semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
C2×#106230532
#130728172
#130727892
#130727812
#130726142
#130726092
#130725742
#130725662
#130724612
#130723872
#130723042
#130722422
#130721862
#130721122
#130720422
#130719582
#130719052
#130718982
#130718592
#130718532
#130711572
#130711542
#130711502
#130711482
#130711262
#130710892
#130710582
#130710562
C4×(C22⋊D11)⋊C42
C11×#24772
#3472011