Finite Group Databasebeta

← #14922684

Subgroups — #14922684

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C211yesmaximal, characteristic, complemented
2C2×C4×#4341C211yesmaximal, characteristic
3#13072487C211yesmaximal, characteristic, complemented
4#13072481C211yesmaximal, characteristic, complemented
5#13072476C211yesmaximal, characteristic, complemented
6#13072470C211yesmaximal, characteristic, complemented
7#13072463C211yesmaximal, characteristic, complemented
8#13072461C211yesmaximal, characteristic, complemented
9#13072452C211yesmaximal, characteristic, complemented
10#13072450C211yesmaximal, characteristic, complemented
11#13072446C211yesmaximal, characteristic, complemented
12#13072440C211yesmaximal, characteristic, complemented
13#13072438C211yesmaximal, characteristic, complemented
14#13072429C211yesmaximal, characteristic, complemented
15#13072427C211yesmaximal, characteristic, complemented
16#13072421C211yesmaximal, characteristic, complemented
17#13072419C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071889C211yesmaximal, characteristic, complemented
21#13071883C211yesmaximal, characteristic, complemented
22#13071154C211yesmaximal, characteristic, complemented
23#13071150C211yesmaximal, characteristic, complemented
24#13071148C211yesmaximal, characteristic, complemented
25#13071144C211yesmaximal, characteristic, complemented
26#13071101C211yesmaximal, characteristic
27#13071101C211yesmaximal, characteristic
28#13071095C211yesmaximal, characteristic, complemented
29#13071095C211yesmaximal, characteristic, complemented
30C2×#10622262C211yesmaximal, characteristic, complemented
31C11×#2450C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic
37C2×#66997C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic
49#10623153—28no—
50C4×#4341—28no—
51C2×#66949C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×#66942C2211yescharacteristic
54C2×#66942C2211yescharacteristic
55C2×#66941C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66940C2211yescharacteristic
58C2×#66940C2211yescharacteristic
59C2×#66940C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×#66931C2211yescharacteristic
63C2×#66931C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×#66930C2211yescharacteristic
66C2×#66930C2211yescharacteristic
67C2×#66930C2211yescharacteristic
68C2×#66930C2211yescharacteristic
69C2×C42×D11C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic
71C11×#400C2211yescharacteristic
72C11×#398C2211yescharacteristic
73C11×#396C2211yescharacteristic
74C11×#393C2211yescharacteristic
75C11×#391C2211yescharacteristic
76C11×#387C2211yescharacteristic
77C11×#386C2211yescharacteristic
78C11×#386C2211yescharacteristic
79C11×#385C2211yescharacteristic
80C11×#385C2211yescharacteristic
81C11×#385C2211yescharacteristic
82C11×#380C2211yescharacteristic
83C2×C11×#95C2211yescharacteristic
84#10622842C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic
95#10622605C2211yescharacteristic
96#10622605C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622597C2211yescharacteristic
100#10622597C2211yescharacteristic
101#10622596C2211yescharacteristic
102#10622592C2211yescharacteristic
103#10622592C2211yescharacteristic
104#10622591C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109#10622587C2211yescharacteristic
110#10622586C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622562C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622560C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622555C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622541C2211yescharacteristic
141#10622289C2211yescharacteristic
142#10622289C2211yescharacteristic
143#10622286C2211yescharacteristic
144#10622286C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622273C2211yescharacteristic
154#10622272C2211yescharacteristic
155#10622271C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622270C2211yescharacteristic
158#10622270C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622269C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
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
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C2×#4341—24no—
204C2×#4341—24no—
205C2×#4341Q818yescomplemented
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×C22⋊Q8—24no—
214C4×D4×C11—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240#66999—24no—
241Q8×Dic11—24no—
242#66997—24no—
243D4×Dic11—24no—
244C4×C22⋊D11—24no—
245C4×C22⋊D11—24no—
246C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264#66977—24no—
265#66977—24no—
266C2×Dic11⋊C4—24no—
267C2×Dic11⋊C4—24no—
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×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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×C4×Dic11—24no—
299C2×C4×Dic11—24no—
300C2×C4×Dic11—24no—
301C2×C4×Dic11—24no—
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
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323#66949—24no—
324#66945—24no—
325#66942—24no—
326#66942—24no—
327#66941—24no—
328#66940—24no—
329#66940—24no—
330#66940—24no—
331#66940—24no—
332(C22⋊D11)⋊C4—24no—
333(C22⋊D11)⋊C4—24no—
334#66931—24no—
335#66931—24no—
336#66931—24no—
337#66930—24no—
338#66930—24no—
339#66930—24no—
340#66930D418yes—
341C42×D11—24no—
342C4×Dic22—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383#34745—111nomaximal, Sylow
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C2×Q8×C11—22no—
388C2×Q8×C11—22no—
389C2×Q8×C11—41no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11C2×Q814yes—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
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
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11C2×Q814yes—
423C2×C22⋊D11C2×Q814yes—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—22no—
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—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11C2×D414yes—
439C22×Dic11C2×Q814yes—
440C22×Dic11C2×Q814yes—
441C22×Dic11#4114yes—
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
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457#4341—232no—
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—41no—
465C2×C4×D11—41no—
466C2×C4×D11C2×Q814yes—
467C2×Dic22—22no—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C2×Dic22—22no—
471C2×Dic22—22no—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—22no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C2×Q814yes—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4C2×D414yes—
495C42×C11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11C2×D414yes—
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—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514C4⋊Dic11—22no—
515C4⋊Dic11—22no—
516C4⋊Dic11—22no—
517C4⋊Dic11—22no—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—22no—
521C4⋊Dic11—41no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—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—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4C2×D414yes—
549Dic11⋊C4C2×D414yes—
550Dic11⋊C4#4114yescomplemented
551Dic11⋊C4#4114yescomplemented
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
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×Dic11C2×D414yes—
572C4×Dic11C2×D414yes—
573C2×#533—111no—
574C2×C4×#41—111no—
575#2454—111no—
576#2454—111no—
577#2453—111no—
578#2453—111no—
579#2452—111no—
580#2452—111no—
581#2451—111no—
582#2451—111no—
583#2450—111no—
584#2450—111no—
585#2450—111no—
586#2450D1111yescharacteristic, complemented
587#2449—111no—
588#2449—111no—
589#2449—111no—
590#2449—111no—
591#2396—111no—
592#2396—111no—
593#2396—111no—
594#2396—111no—
595C4×C22⋊Q8—111no—
596C4×C22⋊Q8—111no—
597C4×C22⋊Q8—111no—
598C4×C22⋊Q8—111no—
599#2297—111no—
600#2297—111no—
601#2296—111no—
602#2296—111no—
603C2×C4×C4⋊C4—111no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11C22×D412yes—
615C23×C11C22×Q812yes—
616C23×C11C22×Q812yes—
617C23×C11C2×#4112yes—
618C23×C11C2511yescharacteristic
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11C22×Q812yes—
626Q8×C11—44no—
627D4×C11—28no—
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—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—44no—
663C2×C4×C11—44no—
664C2×C4×C11—44no—
665C2×C4×C11—44no—
666C2×C4×C11C22×D412yes—
667C2×C4×C11C22×D412yes—
668C2×C4×C11C22×Q812yes—
669C2×C4×C11C2×#4112yes—
670C2×C4×C11C2×#4112yes—
671C22⋊D11—28no—
672C22⋊D11—28no—
673C2×Dic11—28no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—28no—
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—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—44no—
708C2×Dic11—44no—
709C2×Dic11—44no—
710C2×Dic11C22⋊Q8116yescomplemented
711C2×Dic11C22×D412yes—
712C2×Dic11C22×D412yes—
713C2×Dic11C22×D412yes—
714C2×Dic11C22×D412yes—
715C2×Dic11C22×Q812yes—
716C2×Dic11C22×Q812yes—
717C2×Dic11C22×Q812yes—
718C2×Dic11C2×#4112yes—
719C2×Dic11C2×#4112yes—
720C2×Dic11C2×#4112yes—
721C2×Dic11C2×#4112yes—
722C2×Dic11C2×#4112yes—
723C2×Dic11C2×#4112yes—
724C4×D11—28no—
725C4×D11—44no—
726C4×D11—44no—
727Dic22—28no—
728Dic22—44no—
729Dic22—44no—
730Dic22—44no—
731C22×#41—111no—
732#533—228no—
733C2×C4⋊Q8—111no—
734C2×C4⋊Q8—111no—
735C2×#125—111no—
736C2×#125—111no—
737C2×C22⋊Q8—111no—
738C2×C22⋊Q8—111no—
739C2×C22⋊Q8—111no—
740C2×C22⋊Q8—111no—
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×C22⋊Q8—111no—
744C2×C22⋊Q8C2×D1111yescharacteristic
745C4×#41—228no—
746C2×C4×Q8—111no—
747C2×C4×Q8—111no—
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×Q8—111no—
751C2×C4×Q8—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×C4×D4—111no—
757C2×C4×D4C2×D1111yescharacteristic
758C2×#117—111no—
759C2×#117—111no—
760C2×#117—111no—
761C2×#117—111no—
762C2×#117—111no—
763C22×C4⋊C4—111no—
764C22×C4⋊C4—111no—
765C22×C42—111no—
766C22×C42—111no—
767C22×C42—111no—
768C22×C42—111no—
769C22×C42—111no—
770#400—111no—
771#400—111no—
772#400—111no—
773#400C2×D1111yescharacteristic
774#399—111no—
775#399—111no—
776#399—111no—
777#399—111no—
778#398—111no—
779#398—111no—
780#398—111no—
781#398—111no—
782#398—111no—
783#398—111no—
784#398—111no—
785#398C2×D1111yescharacteristic
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396—111no—
793#396C2×D1111yescharacteristic
794#395—111no—
795#395—111no—
796#395—111no—
797#395—111no—
798#393—111no—
799#393—111no—
800#393—111no—
801#393C2×D1111yescharacteristic
802#391—111no—
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391C2×D1111yescharacteristic
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#389—111no—
819#389—111no—
820#389—111no—
821#389—111no—
822#389—111no—
823#389—111no—
824#389—111no—
825#389—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387C2×D1111yescharacteristic
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386C2×D1111yescharacteristic
841#386C2×D1111yescharacteristic
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385C2×D1111yescharacteristic
856#385C2×D1111yescharacteristic
857#385C2×D1111yescharacteristic
858#380—111no—
859#380—111no—
860#380—111no—
861#380C2×D1111yescharacteristic
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—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×C22⋊C4—111no—
879C4×C22⋊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—
886C2×#95—111no—
887C2×#95C2×D1111yescharacteristic
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11C2×C22⋊Q814yes—
902C22×C11C23×D411yescharacteristic
903C22×C11C23×Q811yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C22×#4111yescharacteristic
906C22×C11C22×#4111yescharacteristic
907C22×C11#58511yescharacteristic
908C22×C11#58511yescharacteristic
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929Dic11—22no—
930Dic11—22no—
931Dic11—22no—
932Dic11—22no—
933Dic11—22no—
934Dic11—22no—
935Dic11—22no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11C2×C22⋊Q814yes—
943Dic11C2×C22⋊Q814yes—
944C2×#41—118no—
945C2×#41—224no—
946C2×#41—224no—
947C22×Q8—111no—
948C22×Q8—111no—
949C22×Q8—111no—
950C22×Q8—111no—
951C22×Q8C22×D1111yescharacteristic
952C22×D4—111no—
953C22×D4—111no—
954C22×D4C22×D1111yescharacteristic
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×C4C22×D1111yescharacteristic
965C23×C4C22×D1111yescharacteristic
966C23×C4C22×D1111yescharacteristic
967C23×C4C22×D1111yescharacteristic
968C4⋊Q8—224no—
969C4⋊Q8—224no—
970#125—224no—
971#125—224no—
972C22⋊Q8—24no—
973C22⋊Q8—224no—
974C22⋊Q8—224no—
975C22⋊Q8—224no—
976C22⋊Q8—224no—
977C22⋊Q8—224no—
978C22⋊Q8—224no—
979C22⋊Q8—224no—
980C4×Q8—224no—
981C4×Q8—224no—
982C4×Q8—224no—
983C4×Q8—224no—
984C4×Q8—224no—
985C4×Q8—224no—
986C4×D4—24no—
987C4×D4—224no—
988C4×D4—224no—
989C4×D4—224no—
990C4×D4—224no—
991C4×D4—224no—
992#117—118no—
993#117—224no—
994#117—224no—
995#117—224no—
996#117—224no—
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—111no—
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—111no—
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—224no—
1036C2×C4⋊C4—224no—
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C4⋊C4C22×D1111yescharacteristic
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—224no—
1093C2×C42—224no—
1094C2×C42—224no—
1095C2×C42—224no—
1096C2×C42—224no—
1097C2×C42C22×D1111yescharacteristic
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
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138C2×C11—24no—
1139C2×C11—42no—
1140C2×C11C22×C22⋊Q811yescharacteristic
1141C2×C11#344411yescharacteristic
1142C2×C11#345511yescharacteristic
1143C2×C11D4×#4111yescharacteristic
1144C2×C11D4×#4111yescharacteristic
1145C2×C11Q8×#4111yescharacteristic
1146C2×C11Q8×#4111yescharacteristic
1147D11—42no—
1148C24—111no—
1149C24C23×D1111yescharacteristic
1150C24C23×D1111yescharacteristic
1151#41—2232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—41no—
1155C2×Q8—114no—
1156C2×Q8—222no—
1157C2×Q8—222no—
1158C2×Q8—222no—
1159C2×Q8—222no—
1160C2×Q8—222no—
1161C2×Q8—222no—
1162C2×Q8—222no—
1163C2×Q8—222no—
1164C2×Q8—441no—
1165C2×Q8—441no—
1166C2×Q8—441no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—114no—
1170C2×D4—114no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4Q8×D1114yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—114no—
1189C22×C4—114no—
1190C22×C4—114no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—114no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—114no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
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—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4C23×D1111yescharacteristic
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
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—114no—
1252C4⋊C4—114no—
1253C4⋊C4—114no—
1254C4⋊C4—114no—
1255C4⋊C4—222no—
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—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
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—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—114no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4D4×D1114yes—
1315C42—22no—
1316C42—114no—
1317C42—114no—
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—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C11#3474511yescharacteristic, complemented, Sylow
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—112no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23C2×D4×D1112yes—
1356C23C2×Q8×D1112yes—
1357C23C2×Q8×D1112yes—
1358C23#41×D1112yes—
1359C23C24×D1111yescharacteristic
1360Q8—44no—
1361Q8—228no—
1362Q8—444no—
1363Q8—444no—
1364Q8—444no—
1365D4—28no—
1366D4—228no—
1367D4—228no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—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—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—1116no—
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—112no—
1419C2×C4—112no—
1420C2×C4—228no—
1421C2×C4—228no—
1422C2×C4—228no—
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—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4—444no—
1459C2×C4—444no—
1460C2×C4C2×D4×D1112yes—
1461C2×C4C2×D4×D1112yes—
1462C2×C4C2×Q8×D1112yes—
1463C2×C4#41×D1112yes—
1464C2×C4#41×D1112yes—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—441no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22D11×C22⋊Q814yes—
1486C22C22×D4×D1111yescharacteristic
1487C22C22×Q8×D1111yescharacteristic
1488C22C2×#41×D1111yescharacteristic
1489C22C2×#41×D1111yescharacteristic
1490C22C2×#41×D1111yescharacteristic
1491C22#1062345511yescharacteristic
1492C22#1062345511yescharacteristic
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—114no—
1507C4—114no—
1508C4—222no—
1509C4—222no—
1510C4—222no—
1511C4—222no—
1512C4—222no—
1513C4—222no—
1514C4—222no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C2—24no—
1522C2—42no—
1523C2—442no—
1524C2C2×D11×C22⋊Q811yescharacteristic
1525C2#1308191011yescharacteristic
1526C2#1308199811yescharacteristic
1527C2#1308210011yescharacteristic
1528C2#1308210011yescharacteristic
1529C2#1308219511yescharacteristic
1530C2#1308219511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2450C2
prime radicalC22×#4341C22
hypercenter#2450D11
hypocenterC11#34745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
3. #13072487C2semidirect
4. #13072481C2semidirect
5. #13072476C2semidirect
6. #13072470C2semidirect
7. #13072463C2semidirect
8. #13072461C2semidirect
9. #13072452C2semidirect
10. #13072450C2semidirect
11. #13072446C2semidirect
12. #13072440C2semidirect
13. #13072438C2semidirect
14. #13072429C2semidirect
15. #13072427C2semidirect
16. #13072421C2semidirect
17. #13072419C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071889C2semidirect
21. #13071883C2semidirect
22. #13071154C2semidirect
23. #13071150C2semidirect
24. #13071148C2semidirect
25. #13071144C2semidirect
28. #13071095C2semidirect
29. #13071095C2semidirect
30. C2×#10622262C2semidirect
31. C11×#2450C2semidirect
205. C2×#4341Q8semidirect
550. Dic11⋊C4#41semidirect
551. Dic11⋊C4#41semidirect
586. #2450D11semidirect
710. C2×Dic11C22⋊Q8semidirect
1337. C11#34745semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
C2×C4×#43412
#130724872
#130724812
#130724762
#130724702
#130724632
#130724612
#130724522
#130724502
#130724462
#130724402
#130724382
#130724292
#130724272
#130724212
#130724192
#130718932
#130718912
#130718892
#130718832
#130711542
#130711502
#130711482
#130711442
#130711012
#130710952
C2×#106222622
C11×#24502
#3474511