Finite Group Databasebeta

← #14913742

Subgroups — #14913742

Order 2816.

2516 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623167C211yesmaximal, characteristic
2#13071713C211yesmaximal, characteristic, complemented
3#13071709C211yesmaximal, characteristic, complemented
4#13071704C211yesmaximal, characteristic, complemented
5#13071700C211yesmaximal, characteristic, complemented
6#13071695C211yesmaximal, characteristic, complemented
7#13071694C211yesmaximal, characteristic, complemented
8#13071624C211yesmaximal, characteristic, complemented
9#13071622C211yesmaximal, characteristic, complemented
10#13071570C211yesmaximal, characteristic, complemented
11#13071523C211yesmaximal, characteristic
12#13071522C211yesmaximal, characteristic
13#13071514C211yesmaximal, characteristic
14#13071494C211yesmaximal, characteristic, complemented
15#13071490C211yesmaximal, characteristic, complemented
16#13071185C211yesmaximal, characteristic, complemented
17#13071173C211yesmaximal, characteristic, complemented
18#13071173C211yesmaximal, characteristic, complemented
19#13071154C211yesmaximal, characteristic, complemented
20C22⋊Q8×Dic11C211yesmaximal, characteristic, complemented
21#13071150C211yesmaximal, characteristic, complemented
22#13071150C211yesmaximal, characteristic, complemented
23#13071148C211yesmaximal, characteristic, complemented
24#13071148C211yesmaximal, characteristic, complemented
25C4×#66940C211yesmaximal, characteristic, complemented
26C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
29C2×#10622262C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2368C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×#66997C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×Dic11⋊C4C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44#10623167C4116yescomplemented
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66940C2211yescharacteristic
52C2×#66940C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×#66931C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×C42×D11C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C4×Dic22C2211yescharacteristic
64C11×#391C2211yescharacteristic
65C11×#391C2211yescharacteristic
66C11×#387C2211yescharacteristic
67C11×#387C2211yescharacteristic
68C11×#387C2211yescharacteristic
69C11×#387C2211yescharacteristic
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic
72C4×C11×C4⋊C4C2211yescharacteristic
73C4×C11×C4⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C2×C11×#95C2211yescharacteristic
78#10622843C2211yescharacteristic
79#10622825C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622598C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622589C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622555C2211yescharacteristic
105#10622555C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×C4⋊Dic11C2211yescharacteristic
116#10622546C2211yescharacteristic
117#10622546C2211yescharacteristic
118#10622546C2211yescharacteristic
119#10622546C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C4×Dic11⋊C4C2211yescharacteristic
122C4×Dic11⋊C4C2211yescharacteristic
123C4×Dic11⋊C4C2211yescharacteristic
124C4×Dic11⋊C4C2211yescharacteristic
125C4×Dic11⋊C4C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C42×Dic11C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622541C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622280C2211yescharacteristic
137#10622280C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144D11×#95C2211yescharacteristic
145D11×#95C2211yescharacteristic
146#10622268C2211yescharacteristic
147#10622268C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622267C2211yescharacteristic
151#10622267C2211yescharacteristic
152#10622266C2211yescharacteristic
153#10622266C2211yescharacteristic
154#10622263C2211yescharacteristic
155#10622263C2211yescharacteristic
156#10622262C2211yescharacteristic
157#10622262C2211yescharacteristic
158#10622262C2211yescharacteristic
159#10622262C2211yescharacteristic
160#10622262C2211yescharacteristic
161#10622262C2211yescharacteristic
162#10622262C2211yescharacteristic
163#10622262C2211yescharacteristic
164#10622262C2211yescharacteristic
165#10622262C2211yescharacteristic
166#10622262C2211yescharacteristic
167#10622262C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×C22⋊Q8C2×C418yescomplemented
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227#66999C2×C418yescomplemented
228Q8×Dic11—42no—
229#66997C2×C418yescomplemented
230C4×C22⋊D11—24no—
231C4×C22⋊D11—24no—
232C4×C22⋊D11C2×C418yes—
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×Dic11⋊C4—24no—
249C2×Dic11⋊C4C2×C418yescomplemented
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—24no—
278C2×C4×Dic11—42no—
279C2×C4×Dic11—42no—
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
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
311#66949C2×C418yescomplemented
312#66949C2×C418yescomplemented
313C4⋊C4×D11—24no—
314C4⋊C4×D11C2×C418yescomplemented
315#66942C2×C418yescomplemented
316#66942C2×C418yescomplemented
317#66940—24no—
318#66940—42no—
319#66940C2×C418yescomplemented
320(C22⋊D11)⋊C4—24no—
321(C22⋊D11)⋊C4C2×C418yes—
322(C22⋊D11)⋊C4C2×C418yes—
323(C22⋊D11)⋊C4Q818yescomplemented
324#66931C2×C418yescomplemented
325#66931C2×C418yescomplemented
326C42×D11—24no—
327C42×D11—42no—
328C42×D11—42no—
329C4×Dic22—24no—
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
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
374C4×#554—111nomaximal, Sylow
375C24×C11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×Q8×C11C22×C414yes—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11C22×C414yes—
389C22×C4×C11C2411yescharacteristic
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⋊D11C22×C414yes—
404C2×C22⋊D11C2×Q814yes—
405C2×C22⋊D11#4114yes—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C22×C414yes—
416C22×Dic11C22×C414yes—
417C22×Dic11C2×Q814yes—
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11C22×C414yes—
451C2×C4×D11C22×C414yes—
452C2×C4×D11C22×C414yes—
453C2×C4×D11C2×Q814yes—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—41no—
457C2×Dic22—41no—
458C2×Dic22C22×C414yes—
459C2×Dic22C22×C414yes—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C22⋊C4—22no—
468C11×C22⋊C4C22×C414yes—
469C11×C22⋊C4C22×C414yes—
470C11×C22⋊C4C2×Q814yes—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—41no—
474C42×C11—41no—
475C42×C11—41no—
476C42×C11—41no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11C22×C414yes—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4C22×C414yes—
484(C2×D11)⋊C4C22×C414yes—
485(C2×D11)⋊C4C22×C414yes—
486(C2×D11)⋊C4C2×Q814yes—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—41no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11C22×C414yes—
494C4⋊Dic11C22×C414yes—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4C22×C414yes—
510Dic11⋊C4C22×C414yes—
511Dic11⋊C4C22×C414yes—
512Dic11⋊C4C22×C414yes—
513Dic11⋊C4C22×C414yes—
514Dic11⋊C4C22×C414yes—
515Dic11⋊C4C22×C414yes—
516Dic11⋊C4C22×C414yes—
517Dic11⋊C4C22×C414yes—
518Dic11⋊C4C22×C414yes—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C2×Q814yes—
521Dic11⋊C4#4114yes—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11C22×C414yes—
549C4×Dic11C22×C414yes—
550C4×Dic11C22×C414yes—
551C4×Dic11C2×Q814yes—
552C4×Dic11#4114yes—
553C2×#554—111no—
554#2370—111no—
555#2370—111no—
556#2369—111no—
557#2368—111no—
558#2368—111no—
559#2368—111no—
560#2368D1111yescharacteristic, complemented
561#2360—111no—
562#2360—111no—
563#2355—111no—
564#2349—111no—
565#2349—111no—
566D4×C4⋊C4—111no—
567#2345—111no—
568#2345—111no—
569C4×C4⋊Q8—111no—
570C4×#125—111no—
571C4×#125—111no—
572C4×C22⋊Q8—111no—
573C4×C22⋊Q8—111no—
574C4×C22⋊Q8—111no—
575C4×C22⋊Q8—111no—
576C4×C22⋊Q8—111no—
577C4×C22⋊Q8—111no—
578C42×Q8—111no—
579C42×D4—111no—
580C42×D4—111no—
581C42×D4—111no—
582C2×C4×C4⋊C4—111no—
583C2×C4×C4⋊C4—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11C23×C412yes—
589C23×C11C22×Q812yes—
590C23×C11C2×#4112yes—
591C23×C11C2511yescharacteristic
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11C23×C412yes—
597C22×D11C22×Q812yes—
598C22×D11C2×#4112yes—
599Q8×C11—44no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—44no—
633C2×C4×C11—44no—
634C2×C4×C11—44no—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C2×C4×C11C23×C412yes—
639C2×C4×C11C23×C412yes—
640C2×C4×C11C23×C412yes—
641C2×C4×C11C22×Q812yes—
642C2×C4×C11C22×Q812yes—
643C2×C4×C11C2×#4112yes—
644C2×C4×C11C2×#4112yes—
645C22⋊D11C4×Q8116yescomplemented
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—28no—
661C2×Dic11—28no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—44no—
678C2×Dic11—44no—
679C2×Dic11C23×C412yes—
680C2×Dic11C23×C412yes—
681C2×Dic11C23×C412yes—
682C2×Dic11C23×C412yes—
683C2×Dic11C23×C412yes—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11C22×Q812yes—
687C2×Dic11C22×Q812yes—
688C2×Dic11C22×Q812yes—
689C2×Dic11C2×#4112yes—
690C2×Dic11C2×#4112yes—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11H(5,𝔽2)12yes—
695C4×D11—28no—
696C4×D11—28no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—44no—
702Dic22—28no—
703Dic22—44no—
704#554—1116no—
705C2×C4⋊Q8—111no—
706C2×#125—111no—
707C2×#125—111no—
708C2×C22⋊Q8—111no—
709C2×C22⋊Q8—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8C2×D1111yescharacteristic
714C2×C4×Q8—111no—
715C2×C4×Q8—111no—
716C2×C4×Q8—111no—
717C2×C4×Q8—111no—
718C2×C4×Q8—111no—
719C2×C4×D4—111no—
720C2×C4×D4—111no—
721C2×C4×D4—111no—
722C2×C4×D4—111no—
723C2×C4×D4—111no—
724C2×C4×D4—111no—
725C2×C4×D4—111no—
726C22×C4⋊C4—111no—
727C22×C4⋊C4—111no—
728C22×C4⋊C4—111no—
729C22×C4⋊C4—111no—
730C22×C42—111no—
731C22×C42—111no—
732C22×C42—111no—
733C22×C42—111no—
734C22×C42—111no—
735C22×C42—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391—111no—
740#391—111no—
741#391—111no—
742#391C2×D1111yescharacteristic
743#391C2×D1111yescharacteristic
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387C2×D1111yescharacteristic
775#387C2×D1111yescharacteristic
776#387C2×D1111yescharacteristic
777#387C2×D1111yescharacteristic
778#385—111no—
779#385—111no—
780#385—111no—
781#385—111no—
782#385—111no—
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385C2×D1111yescharacteristic
789#385C2×D1111yescharacteristic
790#384—111no—
791#382—111no—
792#382—111no—
793#380—111no—
794#380—111no—
795#380—111no—
796#380—111no—
797#380—111no—
798#380—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—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⋊C4C2×D1111yescharacteristic
834C4×C4⋊C4C2×D1111yescharacteristic
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4C2×D1111yescharacteristic
851C4×C22⋊C4C2×D1111yescharacteristic
852C4×C22⋊C4C2×D1111yescharacteristic
853C2×#95—111no—
854C2×#95—111no—
855C2×#95—111no—
856C2×#95C2×D1111yescharacteristic
857C43—111no—
858C43—111no—
859C43—111no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11C2×C4×Q814yes—
867C22×C11C24×C411yescharacteristic
868C22×C11C23×Q811yescharacteristic
869C22×C11C22×#4111yescharacteristic
870C22×C11C22×#4111yescharacteristic
871C22×C11C22×#4111yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11#58511yescharacteristic
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11C2×C4×Q814yes—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895Dic11—22no—
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11C2×C4×Q814yes—
908Dic11C4×#4114yes—
909Dic11#55414yescomplemented
910C22×Q8—111no—
911C22×Q8—111no—
912C22×Q8C22×D1111yescharacteristic
913C22×D4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4C22×D1111yescharacteristic
926C23×C4C22×D1111yescharacteristic
927C23×C4C22×D1111yescharacteristic
928C4⋊Q8—118no—
929#125—118no—
930#125—118no—
931C22⋊Q8—118no—
932C22⋊Q8—118no—
933C22⋊Q8—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8C4×D1118yescomplemented
937C4×Q8—118no—
938C4×Q8—224no—
939C4×Q8—224no—
940C4×Q8—442no—
941C4×Q8—442no—
942C4×D4—118no—
943C4×D4—118no—
944C4×D4—118no—
945C4×D4—118no—
946C4×D4—224no—
947C4×D4—224no—
948C4×D4—224no—
949C2×C4⋊C4—118no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—118no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—224no—
987C2×C4⋊C4—224no—
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—224no—
1041C2×C42—224no—
1042C2×C42—442no—
1043C2×C42—442no—
1044C2×C42—442no—
1045C2×C42—442no—
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
1048C2×C42C22×D1111yescharacteristic
1049C2×C42C22×D1111yescharacteristic
1050C2×C42C22×D1111yescharacteristic
1051C2×C42C22×D1111yescharacteristic
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—24no—
1097C2×C11C22×C4×Q811yescharacteristic
1098C2×C11C2×C4×#4111yescharacteristic
1099C2×C11C4×H(5,𝔽2)11yescharacteristic
1100C2×C11C2×#55411yescharacteristic
1101C2×C11#347511yescharacteristic
1102C2×C11Q8×#4111yescharacteristic
1103C2×C11#348111yescharacteristic
1104D11—24no—
1105C24—111no—
1106C24C23×D1111yescharacteristic
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×Q8—114no—
1110C2×Q8—114no—
1111C2×Q8—222no—
1112C2×Q8—222no—
1113C2×Q8—441no—
1114C2×Q8—441no—
1115C2×Q8C2×C4×D1114yes—
1116C2×D4—114no—
1117C2×D4—114no—
1118C2×D4—114no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—114no—
1131C22×C4—114no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—114no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4C2×C4×D1114yes—
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—114no—
1199C4⋊C4—114no—
1200C4⋊C4—114no—
1201C4⋊C4—114no—
1202C4⋊C4—114no—
1203C4⋊C4—114no—
1204C4⋊C4—114no—
1205C4⋊C4—114no—
1206C4⋊C4—114no—
1207C4⋊C4—114no—
1208C4⋊C4—114no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4C2×C4×D1114yes—
1230C4⋊C4C2×C4×D1114yes—
1231C4⋊C4C2×C4×D1114yes—
1232C22⋊C4—22no—
1233C22⋊C4—114no—
1234C22⋊C4—114no—
1235C22⋊C4—114no—
1236C22⋊C4—114no—
1237C22⋊C4—114no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4C2×C4×D1114yes—
1244C22⋊C4C2×C4×D1114yes—
1245C22⋊C4Q8×D1114yes—
1246C42—22no—
1247C42—22no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—114no—
1253C42—114no—
1254C42—114no—
1255C42—114no—
1256C42—114no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C11C4×#55411yescharacteristic, complemented, Sylow
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—112no—
1289C23—112no—
1290C23—112no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23C22×C4×D1112yes—
1296C23C2×Q8×D1112yes—
1297C23#41×D1112yes—
1298C23C24×D1111yescharacteristic
1299Q8—44no—
1300Q8—228no—
1301Q8—444no—
1302D4—1116no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—44no—
1336C2×C4—44no—
1337C2×C4—44no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—112no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—112no—
1346C2×C4—112no—
1347C2×C4—112no—
1348C2×C4—112no—
1349C2×C4—112no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—228no—
1355C2×C4—228no—
1356C2×C4—228no—
1357C2×C4—228no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—444no—
1388C2×C4—444no—
1389C2×C4—444no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4C22×C4×D1112yes—
1395C2×C4C22×C4×D1112yes—
1396C2×C4C22×C4×D1112yes—
1397C2×C4C22×C4×D1112yes—
1398C2×C4C22×C4×D1112yes—
1399C2×C4C22×C4×D1112yes—
1400C2×C4C2×Q8×D1112yes—
1401C2×C4C2×Q8×D1112yes—
1402C2×C4#41×D1112yes—
1403C2×C4#41×D1112yes—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—114no—
1411C22—222no—
1412C22—222no—
1413C22—222no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22C4×Q8×D1114yes—
1418C22C23×C4×D1111yescharacteristic
1419C22C22×Q8×D1111yescharacteristic
1420C22C2×#41×D1111yescharacteristic
1421C22C2×#41×D1111yescharacteristic
1422C22C2×#41×D1111yescharacteristic
1423C22D11×H(5,𝔽2)11yescharacteristic
1424C22#1062345511yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—114no—
1440C4—114no—
1441C4—114no—
1442C4—222no—
1443C4—222no—
1444C4—222no—
1445C4—222no—
1446C4—222no—
1447C4—222no—
1448C4—222no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C4—441no—
1454C2—24no—
1455C2—224no—
1456C2C2×C4×Q8×D1111yescharacteristic
1457C2C4×#41×D1111yescharacteristic
1458C2#1308182011yescharacteristic
1459C2D11×#55411yescharacteristic
1460C2#1308217111yescharacteristic
1461C2#1308219511yescharacteristic
1462C2#1308221911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenter#2368D11
hypocenterC11C4×#554
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071713C2semidirect
3. #13071709C2semidirect
4. #13071704C2semidirect
5. #13071700C2semidirect
6. #13071695C2semidirect
7. #13071694C2semidirect
8. #13071624C2semidirect
9. #13071622C2semidirect
10. #13071570C2semidirect
14. #13071494C2semidirect
15. #13071490C2semidirect
16. #13071185C2semidirect
17. #13071173C2semidirect
18. #13071173C2semidirect
19. #13071154C2semidirect
20. C22⋊Q8×Dic11C2semidirect
21. #13071150C2semidirect
22. #13071150C2semidirect
23. #13071148C2semidirect
24. #13071148C2semidirect
25. C4×#66940C2semidirect
29. C2×#10622262C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2368C2semidirect
44. #10623167C4semidirect
206. C11×C22⋊Q8C2×C4semidirect
227. #66999C2×C4semidirect
229. #66997C2×C4semidirect
249. C2×Dic11⋊C4C2×C4semidirect
311. #66949C2×C4semidirect
312. #66949C2×C4semidirect
314. C4⋊C4×D11C2×C4semidirect
315. #66942C2×C4semidirect
316. #66942C2×C4semidirect
319. #66940C2×C4semidirect
323. (C22⋊D11)⋊C4Q8semidirect
324. #66931C2×C4semidirect
325. #66931C2×C4semidirect
560. #2368D11semidirect
645. C22⋊D11C4×Q8semidirect
909. Dic11#554semidirect
936. C22⋊Q8C4×D11semidirect
1283. C11C4×#554semidirect

Maximal subgroups

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

subgroupindex
C2×#106231672
#130717132
#130717092
#130717042
#130717002
#130716952
#130716942
#130716242
#130716222
#130715702
#130715232
#130715222
#130715142
#130714942
#130714902
#130711852
#130711732
#130711542
C22⋊Q8×Dic112
#130711502
#130711482
C4×#669402
C4×(C22⋊D11)⋊C42
C2×#106222622
C4×C4⋊C4×D112
C11×#23682
C4×#55411