Finite Group Databasebeta

← #14917352

Subgroups — #14917352

Order 2816.

2202 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×#10623176C211yesmaximal, characteristic
2#13071806C211yesmaximal, characteristic, complemented
3#13071799C211yesmaximal, characteristic, complemented
4#13071777C211yesmaximal, characteristic, complemented
5#13071763C211yesmaximal, characteristic, complemented
6#13071729C211yesmaximal, characteristic, complemented
7#13071714C211yesmaximal, characteristic, complemented
8#13071663C211yesmaximal, characteristic
9#13071630C211yesmaximal, characteristic
10#13071626C211yesmaximal, characteristic, complemented
11#13071625C211yesmaximal, characteristic, complemented
12#13071613C211yesmaximal, characteristic, complemented
13#13071550C211yesmaximal, characteristic, complemented
14#13071539C211yesmaximal, characteristic, complemented
15#13071522C211yesmaximal, characteristic, complemented
16#13071514C211yesmaximal, characteristic, complemented
17#13071416C211yesmaximal, characteristic, complemented
18#13071400C211yesmaximal, characteristic, complemented
19#13071397C211yesmaximal, characteristic, complemented
20#13071396C211yesmaximal, characteristic, complemented
21#13071353C211yesmaximal, characteristic, complemented
22#13071348C211yesmaximal, characteristic, complemented
23#13071301C211yesmaximal, characteristic, complemented
24#13071289C211yesmaximal, characteristic, complemented
25#13071287C211yesmaximal, characteristic, complemented
26#13071284C211yesmaximal, characteristic, complemented
27#13071216C211yesmaximal, characteristic, complemented
28C4×#66939C211yesmaximal, characteristic, complemented
29#13071135C211yesmaximal, characteristic, complemented
30C2×#10622260C211yesmaximal, characteristic, complemented
31C11×#2368C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40C22×Dic11⋊C4C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×C4×Dic11C2211yescharacteristic
44#10623176C4116yescomplemented
45C2×#66951C2211yescharacteristic
46C2×#66951C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×#66943C2211yescharacteristic
51C2×#66943C2211yescharacteristic
52C2×#66939C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×#66925C2211yescharacteristic
60C11×#391C2211yescharacteristic
61C11×#391C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic
69C4×C11×C4⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C2×C11×#95C2211yescharacteristic
74#10622843C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622598C2211yescharacteristic
87#10622598C2211yescharacteristic
88#10622598C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622589C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96#10622586C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622556C2211yescharacteristic
105#10622556C2211yescharacteristic
106#10622555C2211yescharacteristic
107#10622555C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110#10622553C2211yescharacteristic
111#10622553C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622552C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×C4⋊Dic11C2211yescharacteristic
119C4×C4⋊Dic11C2211yescharacteristic
120C4×C4⋊Dic11C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622545C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129#10622541C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622541C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622277C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622267C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C11×C22⋊Q8C2×C418yescomplemented
206C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225#66999C2×C418yescomplemented
226#66999C2×C418yescomplemented
227Q8×Dic11—42no—
228#66983C2×C418yes—
229C4×C22⋊D11—42no—
230C4×C22⋊D11—42no—
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×C4⋊Dic11—42no—
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×Dic11⋊C4—42no—
266C2×Dic11⋊C4—42no—
267C2×Dic11⋊C4C2×C418yescomplemented
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×C4×Dic11—42no—
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
307#66951C2×C418yescomplemented
308#66951C2×C418yescomplemented
309#66947C2×C418yescomplemented
310#66947C2×C418yescomplemented
311C4⋊C4×D11—42no—
312#66943C2×C418yescomplemented
313#66943C2×C418yescomplemented
314#66939C2×C418yescomplemented
315#66939C2×C418yescomplemented
316(C22⋊D11)⋊C4—42no—
317(C22⋊D11)⋊C4—42no—
318(C22⋊D11)⋊C4C2×C418yescomplemented
319(C22⋊D11)⋊C4C2×C418yescomplemented
320C4×D44—42no—
321#66925—42no—
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
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
370#34417—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11C22×C414yes—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11C22×C414yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
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
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11C22×C414yes—
405C2×C22⋊D11C22×C414yes—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11C22×C414yes—
417C22×Dic11C22×C414yes—
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
432C2×D44—41no—
433C2×D44—41no—
434C2×D44C22×C414yes—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
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×D11—41no—
451C2×C4×D11C22×C414yes—
452C2×C4×D11C22×C414yes—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4C22×C414yes—
458C11×C4⋊C4C22×C414yes—
459C11×C4⋊C4C22×C414yes—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4C22×C414yes—
463C11×C22⋊C4C22×C414yes—
464C42×C11—22no—
465C42×C11—41no—
466C42×C11—41no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4C22×C414yes—
485(C2×D11)⋊C4C22×C414yes—
486(C2×D11)⋊C4C22×C414yes—
487(C2×D11)⋊C4C22×C414yes—
488(C2×D11)⋊C4C22×C414yes—
489(C2×D11)⋊C4C22×C414yes—
490(C2×D11)⋊C4C22×C414yes—
491(C2×D11)⋊C4C22×C414yes—
492C4⋊Dic11—22no—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11C22×C414yes—
501C4⋊Dic11C22×C414yes—
502C4⋊Dic11C22×C414yes—
503C4⋊Dic11C22×C414yes—
504C4⋊Dic11C22×C414yes—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525Dic11⋊C4C22×C414yes—
526Dic11⋊C4C22×C414yes—
527C4×Dic11—22no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11C22×C414yes—
542C4×Dic11C22×C414yes—
543C2×#539—111no—
544#2383—111no—
545#2382—111no—
546#2378—111no—
547#2376—111no—
548#2373—111no—
549#2370—111no—
550#2368D1111yescharacteristic, complemented
551#2364—111no—
552#2361—111no—
553#2360—111no—
554#2360—111no—
555#2359—111no—
556#2353—111no—
557#2352—111no—
558#2349—111no—
559D4×C4⋊C4—111no—
560#2336—111no—
561#2335—111no—
562#2334—111no—
563#2334—111no—
564#2330—111no—
565#2329—111no—
566#2323—111no—
567#2322—111no—
568#2322—111no—
569#2322—111no—
570#2313—111no—
571C4×#123—111no—
572C4×#123—111no—
573C2×#389—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11C23×C412yes—
579C23×C11H(5,𝔽2)12yes—
580C23×C112−1+412yes—
581C23×C11C2511yescharacteristic
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11C23×C412yes—
595C22×D11C23×C412yes—
596Q8×C11—44no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
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—82no—
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×C112−1+412yes—
642C22⋊D11—28no—
643C22⋊D11—28no—
644C2×Dic11—28no—
645C2×Dic11—21no—
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—21no—
661C2×Dic11—21no—
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—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—44no—
681C2×Dic11—44no—
682C2×Dic11—82no—
683C2×Dic11C23×C412yes—
684C2×Dic11C23×C412yes—
685C2×Dic11C23×C412yes—
686C2×Dic11C23×C412yes—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11H(5,𝔽2)12yes—
690D44—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—82no—
694C4×D11—82no—
695C4×D11—82no—
696C4×D11—82no—
697#539—1116no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8C2×D1111yescharacteristic
709C2×#121—111no—
710C2×C4×Q8—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C2×#117—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C4⋊C4—111no—
722C22×C4⋊C4—111no—
723C22×C4⋊C4—111no—
724C22×C42—111no—
725#391—111no—
726#391C2×D1111yescharacteristic
727#391C2×D1111yescharacteristic
728#390—111no—
729#389—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—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#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387C2×D1111yescharacteristic
790#387C2×D1111yescharacteristic
791#387C2×D1111yescharacteristic
792#387C2×D1111yescharacteristic
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385C2×D1111yescharacteristic
812#385C2×D1111yescharacteristic
813#384—111no—
814#383—111no—
815#382—111no—
816#382—111no—
817#381—111no—
818#381—111no—
819#381—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—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⋊C4—111no—
834C4×C4⋊C4C2×D1111yescharacteristic
835C4×C4⋊C4C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
847C4×C22⋊C4C2×D1111yescharacteristic
848C4×C22⋊C4C2×D1111yescharacteristic
849#376—111no—
850C2×#95—111no—
851C2×#95—111no—
852C2×#95C2×D1111yescharacteristic
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11#52014yes—
860C22×C11C24×C411yescharacteristic
861C22×C11C2×H(5,𝔽2)11yescharacteristic
862C22×C11C2×H(5,𝔽2)11yescharacteristic
863C22×C11C2×2−1+411yescharacteristic
864C22×C11C2×2−1+411yescharacteristic
865C22×C11#58511yescharacteristic
866C22×C11#58511yescharacteristic
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
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—
907Dic11—41no—
908Dic11—41no—
909C22×Q8C22×D1111yescharacteristic
910C22×D4—111no—
911C22×D4—111no—
912C22×D4—111no—
913C23×C4—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×C4C22×D1111yescharacteristic
924C23×C4C22×D1111yescharacteristic
925C23×C4C22×D1111yescharacteristic
926#126—118no—
927#126—118no—
928#125—118no—
929#125—118no—
930#123—118no—
931#123—118no—
932#123—118no—
933#123—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8C4×D1118yescomplemented
937#121—118no—
938C4×Q8—442no—
939C4×D4—118no—
940C4×D4—118no—
941C4×D4—442no—
942C4×D4—442no—
943C4×D4—442no—
944C4×D4—442no—
945C4×D4—442no—
946#117—442no—
947C2×C4⋊C4—118no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
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—111no—
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—442no—
984C2×C4⋊C4—442no—
985C2×C4⋊C4—442no—
986C2×C4⋊C4—442no—
987C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
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⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
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—442no—
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
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#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
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
1091C2×C11—24no—
1092C2×C11C2×#52011yescharacteristic
1093C2×C11C4×H(5,𝔽2)11yescharacteristic
1094C2×C11C4×2−1+411yescharacteristic
1095C2×C11#353411yescharacteristic
1096C2×C11#353511yescharacteristic
1097C2×C11#355211yescharacteristic
1098C2×C11#355311yescharacteristic
1099D11—42no—
1100D11—42no—
1101C24—111no—
1102C24—111no—
1103C24C23×D1111yescharacteristic
1104C2×Q8—41no—
1105C2×Q8—41no—
1106C2×Q8C2×C4×D1114yes—
1107C2×D4—114no—
1108C2×D4—114no—
1109C2×D4—114no—
1110C2×D4—222no—
1111C2×D4—222no—
1112C2×D4—222no—
1113C2×D4—222no—
1114C2×D4—441no—
1115C2×D4—441no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—114no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—114no—
1133C22×C4—114no—
1134C22×C4—114no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4C2×C4×D1114yes—
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C4⋊C4—22no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—114no—
1188C4⋊C4—114no—
1189C4⋊C4—114no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4C2×C4×D1114yes—
1223C4⋊C4C2×C4×D1114yes—
1224C4⋊C4C2×C4×D1114yes—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—114no—
1230C22⋊C4—114no—
1231C22⋊C4—114no—
1232C22⋊C4—114no—
1233C22⋊C4—114no—
1234C22⋊C4—114no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4C2×C4×D1114yes—
1250C22⋊C4C2×C4×D1114yes—
1251C42—22no—
1252C42—41no—
1253C42—41no—
1254C42—41no—
1255C42—41no—
1256C42—41no—
1257C42—114no—
1258C42—114no—
1259C42—222no—
1260C42—441no—
1261C42—441no—
1262C42—441no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C11#3441711yescharacteristic, complemented, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—112no—
1279C23—112no—
1280C23—221no—
1281C23—221no—
1282C23—221no—
1283C23—221no—
1284C23—221no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23C22×C4×D1112yes—
1293C23#6704012yes—
1294C23#6704212yes—
1295C23C24×D1111yescharacteristic
1296Q8—44no—
1297D4—228no—
1298D4—228no—
1299D4—444no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
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—82no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—112no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—228no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
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—444no—
1382C2×C4—444no—
1383C2×C4—444no—
1384C2×C4—444no—
1385C2×C4—882no—
1386C2×C4—882no—
1387C2×C4—882no—
1388C2×C4—882no—
1389C2×C4—882no—
1390C2×C4C22×C4×D1112yes—
1391C2×C4C22×C4×D1112yes—
1392C2×C4C22×C4×D1112yes—
1393C2×C4C22×C4×D1112yes—
1394C2×C4C22×C4×D1112yes—
1395C2×C4C22×C4×D1112yes—
1396C2×C4#6704312yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—222no—
1404C22—222no—
1405C22—222no—
1406C22—222no—
1407C22—222no—
1408C22—222no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—441no—
1414C22—441no—
1415C22—441no—
1416C22—441no—
1417C22#1062310514yes—
1418C22C23×C4×D1111yescharacteristic
1419C22C2×#6704011yescharacteristic
1420C22C2×#6704211yescharacteristic
1421C22C2×#6704311yescharacteristic
1422C22#1062345311yescharacteristic
1423C22D11×H(5,𝔽2)11yescharacteristic
1424C22#1062345511yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—222no—
1440C4—222no—
1441C4—222no—
1442C4—222no—
1443C4—222no—
1444C4—222no—
1445C4—222no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C2—24no—
1454C2—442no—
1455C2—442no—
1456C2C2×#1062310511yescharacteristic
1457C2#1308182011yescharacteristic
1458C2C4×#6704311yescharacteristic
1459C2#1308280911yescharacteristic
1460C2#1308282111yescharacteristic
1461C2#1308305111yescharacteristic
1462C2#1308306811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC2×#66983C22
hypercenter#2368D11
hypocenterC11#34417
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071806C2semidirect
3. #13071799C2semidirect
4. #13071777C2semidirect
5. #13071763C2semidirect
6. #13071729C2semidirect
7. #13071714C2semidirect
10. #13071626C2semidirect
11. #13071625C2semidirect
12. #13071613C2semidirect
13. #13071550C2semidirect
14. #13071539C2semidirect
15. #13071522C2semidirect
16. #13071514C2semidirect
17. #13071416C2semidirect
18. #13071400C2semidirect
19. #13071397C2semidirect
20. #13071396C2semidirect
21. #13071353C2semidirect
22. #13071348C2semidirect
23. #13071301C2semidirect
24. #13071289C2semidirect
25. #13071287C2semidirect
26. #13071284C2semidirect
27. #13071216C2semidirect
28. C4×#66939C2semidirect
29. #13071135C2semidirect
30. C2×#10622260C2semidirect
31. C11×#2368C2semidirect
44. #10623176C4semidirect
205. C11×C22⋊Q8C2×C4semidirect
225. #66999C2×C4semidirect
226. #66999C2×C4semidirect
267. C2×Dic11⋊C4C2×C4semidirect
307. #66951C2×C4semidirect
308. #66951C2×C4semidirect
309. #66947C2×C4semidirect
310. #66947C2×C4semidirect
312. #66943C2×C4semidirect
313. #66943C2×C4semidirect
314. #66939C2×C4semidirect
315. #66939C2×C4semidirect
318. (C22⋊D11)⋊C4C2×C4semidirect
319. (C22⋊D11)⋊C4C2×C4semidirect
550. #2368D11semidirect
936. C22⋊Q8C4×D11semidirect
1273. C11#34417semidirect

Maximal subgroups

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

subgroupindex
C2×#106231762
#130718062
#130717992
#130717772
#130717632
#130717292
#130717142
#130716632
#130716302
#130716262
#130716252
#130716132
#130715502
#130715392
#130715222
#130715142
#130714162
#130714002
#130713972
#130713962
#130713532
#130713482
#130713012
#130712892
#130712872
#130712842
#130712162
C4×#669392
#130711352
C2×#106222602
C11×#23682
#3441711