Finite Group Databasebeta

← #14926526

Subgroups — #14926526

Order 2816.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076934C211yesmaximal, characteristic, complemented
2#13076934C211yesmaximal, characteristic, complemented
3#13076934C211yesmaximal, characteristic, complemented
4#13076932C211yesmaximal, characteristic, complemented
5#13074574C211yesmaximal, characteristic, complemented
6#13074570C211yesmaximal, characteristic, complemented
7#13074570C211yesmaximal, characteristic, complemented
8#13074570C211yesmaximal, characteristic, complemented
9#13073183C211yesmaximal, characteristic, complemented
10#13073177C211yesmaximal, characteristic, complemented
11#13073173C211yesmaximal, characteristic, complemented
12#13073171C211yesmaximal, characteristic, complemented
13#13073005C211yesmaximal, characteristic, complemented
14#13073001C211yesmaximal, characteristic, complemented
15#13072997C211yesmaximal, characteristic, complemented
16#13072881C211yesmaximal, characteristic, complemented
17#13072880C211yesmaximal, characteristic, complemented
18#13072875C211yesmaximal, characteristic, complemented
19#13072870C211yesmaximal, characteristic, complemented
20#13072869C211yesmaximal, characteristic, complemented
21#13072867C211yesmaximal, characteristic, complemented
22#13072864C211yesmaximal, characteristic, complemented
23#13072862C211yesmaximal, characteristic, complemented
24#13071229C211yesmaximal, characteristic, complemented
25#13071227C211yesmaximal, characteristic, complemented
26#13071193C211yesmaximal, characteristic
27#13071193C211yesmaximal, characteristic
28C2×#10622278C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2493C211yesmaximal, characteristic, complemented
32C23×D44C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C2×#66951C2211yescharacteristic, complemented
38C2×#66951C2211yescharacteristic, complemented
39C2×#66951C2211yescharacteristic, complemented
40C2×C4⋊C4×D11C2211yescharacteristic, complemented
41C2×C4⋊C4×D11C2211yescharacteristic, complemented
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×#66929C2211yescharacteristic, complemented
47C2×C42×D11C2211yescharacteristic, complemented
48C2×C42×D11C2211yescharacteristic, complemented
49C11×#401C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#387C2211yescharacteristic, complemented
54C11×#387C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#383C2211yescharacteristic, complemented
59C11×#381C2211yescharacteristic
60C11×#381C2211yescharacteristic
61C11×#380C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C2×C11×#95C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622824C2211yescharacteristic
66#10622824C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71#10622607C2211yescharacteristic, complemented
72#10622607C2211yescharacteristic, complemented
73#10622607C2211yescharacteristic, complemented
74#10622606C2211yescharacteristic, complemented
75#10622606C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622603C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic, complemented
80#10622602C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic, complemented
83#10622602C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic, complemented
89#10622600C2211yescharacteristic, complemented
90#10622568C2211yescharacteristic
91#10622568C2211yescharacteristic
92#10622568C2211yescharacteristic
93#10622568C2211yescharacteristic
94#10622563C2211yescharacteristic
95#10622563C2211yescharacteristic
96#10622559C2211yescharacteristic
97#10622559C2211yescharacteristic
98#10622555C2211yescharacteristic
99#10622555C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102#10622553C2211yescharacteristic, complemented
103#10622553C2211yescharacteristic, complemented
104#10622553C2211yescharacteristic, complemented
105C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
106C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
107#10622289C2211yescharacteristic, complemented
108#10622288C2211yescharacteristic, complemented
109#10622288C2211yescharacteristic, complemented
110#10622288C2211yescharacteristic, complemented
111#10622288C2211yescharacteristic, complemented
112#10622288C2211yescharacteristic, complemented
113#10622288C2211yescharacteristic, complemented
114#10622287C2211yescharacteristic, complemented
115#10622287C2211yescharacteristic, complemented
116#10622287C2211yescharacteristic, complemented
117#10622283C2211yescharacteristic, complemented
118#10622283C2211yescharacteristic, complemented
119#10622283C2211yescharacteristic, complemented
120#10622282C2211yescharacteristic, complemented
121#10622282C2211yescharacteristic, complemented
122#10622282C2211yescharacteristic, complemented
123#10622281C2211yescharacteristic, complemented
124#10622281C2211yescharacteristic, complemented
125#10622281C2211yescharacteristic, complemented
126#10622281C2211yescharacteristic, complemented
127#10622281C2211yescharacteristic, complemented
128#10622281C2211yescharacteristic, complemented
129#10622281C2211yescharacteristic, complemented
130#10622281C2211yescharacteristic, complemented
131#10622280C2211yescharacteristic, complemented
132#10622280C2211yescharacteristic, complemented
133#10622279C2211yescharacteristic, complemented
134#10622279C2211yescharacteristic, complemented
135#10622278C2211yescharacteristic
136#10622278C2211yescharacteristic
137#10622278C2211yescharacteristic
138#10622278C2211yescharacteristic
139#10622278C2211yescharacteristic
140#10622278C2211yescharacteristic
141#10622278C2211yescharacteristic
142#10622278C2211yescharacteristic
143#10622278C2211yescharacteristic
144#10622278C2211yescharacteristic
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159D11×#95C2211yescharacteristic, complemented
160D11×#95C2211yescharacteristic, complemented
161D11×#95C2211yescharacteristic, complemented
162D11×#95C2211yescharacteristic, complemented
163C11⋊#401C2211yescharacteristic, complemented
164C11⋊#401C2211yescharacteristic, complemented
165C11⋊#401C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622272C2211yescharacteristic, complemented
170#10622272C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×D44—24no—
195C22×D44—24no—
196C22×D44—24no—
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11—42no—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×(C2×D11)⋊C4—24no—
233C2×(C2×D11)⋊C4—42no—
234C2×(C2×D11)⋊C4—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295#66951—42no—
296#66951—42no—
297#66951—42no—
298C4⋊C4×D11—42no—
299C4⋊C4×D11—42no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—24no—
304#66929—42no—
305C42×D11—42no—
306C42×D11—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
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
363#34995—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11—41no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11#4114yes—
377C23×D11#4114yes—
378C23×D11#4114yes—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
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
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44—416no—
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—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—416no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C42×C11—22no—
485C42×C11—41no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526C4⋊Dic11—22no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550#2852—111no—
551#2852—111no—
552#2852—111no—
553#2852—111no—
554#2643—111no—
555#2643—111no—
556#2643—111no—
557#2643—111no—
558#2510—111no—
559#2510—111no—
560#2510—111no—
561#2510—111no—
562#2493—111no—
563#2493—111no—
564#2493—111no—
565#2493D1111yescharacteristic, complemented
566#2481—111no—
567#2481—111no—
568#2481—111no—
569#2481—111no—
570#2480—111no—
571#2480—111no—
572#2480—111no—
573#2480—111no—
574#2315—111no—
575#2315—111no—
576#2308—111no—
577#2308—111no—
578C2×#386—111no—
579C2×#385—111no—
580C2×C4×C22⋊C4—111no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11C2×#4112yes—
586C23×C11C2×#4112yes—
587C23×C11C2×#4112yes—
588C23×C11C2511yescharacteristic
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—44no—
612C22×D11—44no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11—44no—
620C22×D11—82no—
621C22×D11—82no—
622C22×D11—82no—
623C22×D11—82no—
624C22×D11#126116yescomplemented
625C22×D11C2×#4112yes—
626C22×D11C2×#4112yes—
627C22×D11C2×#4112yes—
628C22×D11C2×#4112yes—
629C22×D11C2×#4112yes—
630C22×D11C2×#4112yes—
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—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—44no—
673C2×C4×C11—44no—
674C2×C4×C11—82no—
675C2×C4×C11H(5,𝔽2)12yes—
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—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—44no—
712C2×Dic11—82no—
713C2×Dic11H(5,𝔽2)12yes—
714D44—44no—
715D44—44no—
716D44—44no—
717D44—44no—
718C4×D11—28no—
719C4×D11—44no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—82no—
729C4×D11—82no—
730C23×D4—111no—
731C24×C4—111no—
732C2×#126—111no—
733C2×#126—111no—
734C2×#126—111no—
735C2×#126—111no—
736C22×C4⋊C4—111no—
737C22×C4⋊C4—111no—
738C22×C22⋊C4—111no—
739C22×C22⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4—111no—
745C22×C42—111no—
746C22×C42—111no—
747#401—111no—
748#401—111no—
749#401—111no—
750#401C2×D1111yescharacteristic, complemented
751#400—111no—
752#400—111no—
753#400—111no—
754#400—111no—
755#400—111no—
756#400—111no—
757#400—111no—
758#400—111no—
759#400—111no—
760#400C2×D1111yescharacteristic, complemented
761#400C2×D1111yescharacteristic, complemented
762#400C2×D1111yescharacteristic, complemented
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#396—111no—
776#396—111no—
777#396—111no—
778#396—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387C2×D1111yescharacteristic, complemented
801#387C2×D1111yescharacteristic, complemented
802#387C2×D1111yescharacteristic, complemented
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385C2×D1111yescharacteristic
850#385C2×D1111yescharacteristic
851#383—111no—
852#383—111no—
853#383—111no—
854#383C2×D1111yescharacteristic, complemented
855#381—111no—
856#381—111no—
857#381C2×D1111yescharacteristic
858#381C2×D1111yescharacteristic
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380C2×D1111yescharacteristic
867#379—111no—
868#379—111no—
869#379—111no—
870#379—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4C2×D1111yescharacteristic
879C2×#95—111no—
880C2×#95—111no—
881C2×#95—111no—
882C2×#95—111no—
883C2×#95—111no—
884C2×#95C2×D1111yescharacteristic
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11C2×#12614yes—
892C22×C11C22×#4111yescharacteristic
893C22×C11C22×#4111yescharacteristic
894C22×C11C22×#4111yescharacteristic
895C22×C11C2×H(5,𝔽2)11yescharacteristic
896C22×C11C2×H(5,𝔽2)11yescharacteristic
897C22×C11#58511yescharacteristic
898C22×C11#58511yescharacteristic
899C2×D11—22no—
900C2×D11—22no—
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—416no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—88no—
927C2×D11C2×#12614yes—
928C2×D11C2×#12614yes—
929C4×C11—22no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—41no—
945Dic11—41no—
946Dic11—41no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955C25—111no—
956C25—111no—
957C22×D4—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—224no—
962C22×D4—224no—
963C22×D4—224no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—224no—
979C23×C4—442no—
980C23×C4—442no—
981C23×C4C22×D1111yescharacteristic
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984#126—442no—
985#126—442no—
986#126—442no—
987#126—442no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—442no—
1007C2×C4⋊C4—442no—
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊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—224no—
1055C2×C22⋊C4—224no—
1056C2×C22⋊C4—224no—
1057C2×C22⋊C4—224no—
1058C2×C22⋊C4—224no—
1059C2×C22⋊C4—442no—
1060C2×C22⋊C4—442no—
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—442no—
1072C2×C42—442no—
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121#95C22×D1111yescharacteristic
1122#95C22×D1111yescharacteristic
1123#95C22×D1111yescharacteristic
1124#95C22×D1111yescharacteristic
1125#95C22×D1111yescharacteristic
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131C2×C11—24no—
1132C2×C11C22×#12611yescharacteristic
1133C2×C11#345911yescharacteristic
1134C2×C11#345911yescharacteristic
1135C2×C11#349011yescharacteristic
1136C2×C11#349111yescharacteristic
1137C2×C11#350511yescharacteristic
1138C2×C11#350511yescharacteristic
1139D11—24no—
1140D11—24no—
1141D11—81no—
1142D11—81no—
1143C24—111no—
1144C24—111no—
1145C24—114no—
1146C24—114no—
1147C24—114no—
1148C24—111no—
1149C24—111no—
1150C24—222no—
1151C24—222no—
1152C24—222no—
1153C24—441no—
1154C24—441no—
1155C24—441no—
1156C24—441no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24C23×D1111yescharacteristic
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—222no—
1169C2×D4—222no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—4416no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—222no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—222no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—4416no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C42—22no—
1322C42—41no—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—441no—
1327C42—441no—
1328C42—441no—
1329C11#3499511yescharacteristic, complemented, Sylow
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—112no—
1335C23—112no—
1336C23—112no—
1337C23—112no—
1338C23—112no—
1339C23—112no—
1340C23—1116no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23—221no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23—221no—
1363C23—444no—
1364C23—444no—
1365C23—444no—
1366C23—444no—
1367C23—444no—
1368C23—444no—
1369C23—444no—
1370C23—444no—
1371C23—444no—
1372C23—882no—
1373C23—882no—
1374C23—882no—
1375C23—882no—
1376C23#41×D1112yes—
1377C23#41×D1112yes—
1378C23#41×D1112yes—
1379C23C24×D1111yescharacteristic
1380D4—444no—
1381D4—444no—
1382D4—444no—
1383D4—444no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—82no—
1428C2×C4—112no—
1429C2×C4—228no—
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—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4#6704212yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—114no—
1486C22—114no—
1487C22—222no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—222no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—4416no—
1500C22—441no—
1501C22—441no—
1502C22—441no—
1503C22—441no—
1504C22—441no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—888no—
1515C22D11×#12614yes—
1516C22C2×#41×D1111yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#6704211yescharacteristic
1520C22#1062345311yescharacteristic
1521C22D11×H(5,𝔽2)11yescharacteristic
1522C22#1062345711yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—222no—
1538C4—441no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C2—24no—
1550C2—224no—
1551C2—224no—
1552C2—881no—
1553C2—881no—
1554C2C2×D11×#12611yescharacteristic
1555C2#1308202411yescharacteristic
1556C2#1308202611yescharacteristic
1557C2#1308230011yescharacteristic
1558C2#1308231111yescharacteristic
1559C2#1308244711yescharacteristic
1560C2#1308245611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radicalC23×D44C22
hypercenter#2493D11
hypocenterC11#34995
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13076934C2semidirect
2. #13076934C2semidirect
3. #13076934C2semidirect
4. #13076932C2semidirect
5. #13074574C2semidirect
6. #13074570C2semidirect
7. #13074570C2semidirect
8. #13074570C2semidirect
9. #13073183C2semidirect
10. #13073177C2semidirect
11. #13073173C2semidirect
12. #13073171C2semidirect
13. #13073005C2semidirect
14. #13073001C2semidirect
15. #13072997C2semidirect
16. #13072881C2semidirect
17. #13072880C2semidirect
18. #13072875C2semidirect
19. #13072870C2semidirect
20. #13072869C2semidirect
21. #13072867C2semidirect
22. #13072864C2semidirect
23. #13072862C2semidirect
24. #13071229C2semidirect
25. #13071227C2semidirect
29. D11×#385C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2493C2semidirect
37. C2×#66951C22semidirect
38. C2×#66951C22semidirect
39. C2×#66951C22semidirect
40. C2×C4⋊C4×D11C22semidirect
41. C2×C4⋊C4×D11C22semidirect
46. C2×#66929C22semidirect
47. C2×C42×D11C22semidirect
48. C2×C42×D11C22semidirect
49. C11×#401C22semidirect
50. C11×#400C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#387C22semidirect
54. C11×#387C22semidirect
55. C11×#387C22semidirect
58. C11×#383C22semidirect
71. #10622607C22semidirect
72. #10622607C22semidirect
73. #10622607C22semidirect
74. #10622606C22semidirect
75. #10622606C22semidirect
76. #10622606C22semidirect
77. #10622603C22semidirect
78. #10622603C22semidirect
79. #10622603C22semidirect
80. #10622602C22semidirect
81. #10622602C22semidirect
82. #10622602C22semidirect
83. #10622602C22semidirect
84. #10622602C22semidirect
85. #10622602C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622600C22semidirect
89. #10622600C22semidirect
102. #10622553C22semidirect
103. #10622553C22semidirect
104. #10622553C22semidirect
105. C4×(C2×D11)⋊C4C22semidirect
106. C4×(C2×D11)⋊C4C22semidirect
107. #10622289C22semidirect
108. #10622288C22semidirect
109. #10622288C22semidirect
110. #10622288C22semidirect
111. #10622288C22semidirect
112. #10622288C22semidirect
113. #10622288C22semidirect
114. #10622287C22semidirect
115. #10622287C22semidirect
116. #10622287C22semidirect
117. #10622283C22semidirect
118. #10622283C22semidirect
119. #10622283C22semidirect
120. #10622282C22semidirect
121. #10622282C22semidirect
122. #10622282C22semidirect
123. #10622281C22semidirect
124. #10622281C22semidirect
125. #10622281C22semidirect
126. #10622281C22semidirect
127. #10622281C22semidirect
128. #10622281C22semidirect
129. #10622281C22semidirect
130. #10622281C22semidirect
131. #10622280C22semidirect
132. #10622280C22semidirect
133. #10622279C22semidirect
134. #10622279C22semidirect
159. D11×#95C22semidirect
160. D11×#95C22semidirect
161. D11×#95C22semidirect
162. D11×#95C22semidirect
163. C11⋊#401C22semidirect
164. C11⋊#401C22semidirect
165. C11⋊#401C22semidirect
166. #10622273C22semidirect
167. #10622273C22semidirect
168. #10622273C22semidirect
169. #10622272C22semidirect
170. #10622272C22semidirect
171. #10622272C22semidirect
172. #10622271C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622264C22semidirect
186. #10622264C22semidirect
565. #2493D11semidirect
624. C22×D11#126semidirect
750. #401C2×D11semidirect
760. #400C2×D11semidirect
761. #400C2×D11semidirect
762. #400C2×D11semidirect
800. #387C2×D11semidirect
801. #387C2×D11semidirect
802. #387C2×D11semidirect
854. #383C2×D11semidirect
1329. C11#34995semidirect

Maximal subgroups

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

subgroupindex
#130769342
#130769322
#130745742
#130745702
#130731832
#130731772
#130731732
#130731712
#130730052
#130730012
#130729972
#130728812
#130728802
#130728752
#130728702
#130728692
#130728672
#130728642
#130728622
#130712292
#130712272
#130711932
C2×#106222782
D11×#3852
C4×C22⋊C4×D112
C11×#24932
#3499511