Finite Group Databasebeta

← #14926510

Subgroups — #14926510

Order 2816.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076927C211yesmaximal, characteristic, complemented
2#13076925C211yesmaximal, characteristic, complemented
3#13076923C211yesmaximal, characteristic, complemented
4#13076923C211yesmaximal, characteristic, complemented
5#13074587C211yesmaximal, characteristic, complemented
6#13074587C211yesmaximal, characteristic, complemented
7#13074587C211yesmaximal, characteristic, complemented
8#13074585C211yesmaximal, characteristic, complemented
9#13073122C211yesmaximal, characteristic, complemented
10#13073121C211yesmaximal, characteristic, complemented
11#13073120C211yesmaximal, characteristic, complemented
12#13073117C211yesmaximal, characteristic, complemented
13#13073116C211yesmaximal, characteristic, complemented
14#13073113C211yesmaximal, characteristic, complemented
15#13073110C211yesmaximal, characteristic, complemented
16#13072761C211yesmaximal, characteristic, complemented
17#13072759C211yesmaximal, characteristic, complemented
18#13072758C211yesmaximal, characteristic, complemented
19#13072757C211yesmaximal, characteristic, complemented
20#13072756C211yesmaximal, characteristic, complemented
21#13072755C211yesmaximal, characteristic, complemented
22#13072754C211yesmaximal, characteristic, complemented
23#13072752C211yesmaximal, characteristic, complemented
24#13071229C211yesmaximal, characteristic
25#13071227C211yesmaximal, characteristic
26#13071227C211yesmaximal, characteristic
27#13071227C211yesmaximal, characteristic
28C2×#10622281C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C11×#2505C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×C4⋊Dic11C2211yescharacteristic
36C22×Dic11⋊C4C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×#66943C2211yescharacteristic, complemented
40C2×#66942C2211yescharacteristic, complemented
41C2×#66942C2211yescharacteristic, complemented
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C2×C42×D11C2211yescharacteristic
48C2×#66923C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#389C2211yescharacteristic, complemented
54C11×#387C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#385C2211yescharacteristic
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#382C2211yescharacteristic, complemented
61C11×#380C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C2×C11×#95C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71#10622602C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622599C2211yescharacteristic, complemented
90#10622599C2211yescharacteristic, complemented
91#10622599C2211yescharacteristic, complemented
92#10622598C2211yescharacteristic, complemented
93#10622598C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622596C2211yescharacteristic, complemented
99#10622595C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622594C2211yescharacteristic, complemented
102#10622593C2211yescharacteristic, complemented
103#10622590C2211yescharacteristic, complemented
104#10622585C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622563C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622559C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120#10622546C2211yescharacteristic, complemented
121#10622546C2211yescharacteristic, complemented
122#10622541C2211yescharacteristic, complemented
123#10622281C2211yescharacteristic
124#10622281C2211yescharacteristic
125#10622281C2211yescharacteristic
126#10622281C2211yescharacteristic
127#10622281C2211yescharacteristic
128#10622281C2211yescharacteristic
129#10622281C2211yescharacteristic
130#10622281C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151D11×#95C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154D11×#95C2211yescharacteristic
155#10622274C2211yescharacteristic, complemented
156#10622274C2211yescharacteristic, complemented
157#10622274C2211yescharacteristic, complemented
158#10622273C2211yescharacteristic, complemented
159#10622273C2211yescharacteristic, complemented
160#10622272C2211yescharacteristic, complemented
161#10622272C2211yescharacteristic, complemented
162#10622272C2211yescharacteristic, complemented
163#10622271C2211yescharacteristic, complemented
164#10622271C2211yescharacteristic, complemented
165#10622271C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622270C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11—24no—
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×(C2×D11)⋊C4—24no—
230C2×(C2×D11)⋊C4—24no—
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×C4⋊Dic11—42no—
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4—42no—
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×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×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C4⋊C4×D11—42no—
294C4⋊C4×D11—42no—
295#66943—42no—
296#66942—42no—
297#66942—42no—
298C22⋊C4×D11—24no—
299C22⋊C4×D11—24no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11Q818yes—
302C42×D11—42no—
303C42×D11—42no—
304#66923—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
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
361#34994—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2×Q814yes—
368C23×D11#4114yes—
369C23×D11#4114yes—
370C23×D11C2411yescharacteristic
371C23×D11C2411yescharacteristic
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
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×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
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×D11—41no—
452C2×C4×D11—416no—
453C2×C4×D11C2×Q814yes—
454C2×C4×D11C2×Q814yes—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4C2×Q814yes—
469C42×C11—22no—
470C42×C11—41no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11C2×Q814yes—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4C2×Q814yes—
490(C2×D11)⋊C4C2×Q814yes—
491C4⋊Dic11—22no—
492C4⋊Dic11—22no—
493C4⋊Dic11—22no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
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⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535#2851—111no—
536#2851—111no—
537#2851—111no—
538#2851—111no—
539#2646—111no—
540#2646—111no—
541#2646—111no—
542#2646—111no—
543#2505—111no—
544#2505—111no—
545#2505—111no—
546#2505—111no—
547#2505—111no—
548#2505—111no—
549#2505—111no—
550#2505D1111yescharacteristic, complemented
551#2473—111no—
552#2473—111no—
553#2473—111no—
554#2473—111no—
555#2473—111no—
556#2473—111no—
557#2473—111no—
558#2473—111no—
559#2315—111no—
560#2315—111no—
561#2315—111no—
562#2315—111no—
563C2×#385—111no—
564C2×#385—111no—
565C2×C4×C22⋊C4—111no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11C22×Q812yes—
571C23×C11C2×#4112yes—
572C23×C11C2×#4112yes—
573C23×C11C2511yescharacteristic
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11—44no—
588C22×D11#125116yescomplemented
589C22×D11C22×Q812yes—
590C22×D11C22×Q812yes—
591C22×D11C2×#4112yes—
592C22×D11C2×#4112yes—
593C22×D11C2×#4112yes—
594C22×D11C2×#4112yes—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
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—21no—
633C2×C4×C11—21no—
634C2×C4×C11—44no—
635C2×C4×C11—44no—
636C2×C4×C11—82no—
637C2×C4×C11C22×Q812yes—
638C2×C4×C11C22×Q812yes—
639C2×C4×C11H(5,𝔽2)12yes—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
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—44no—
680C2×Dic11—44no—
681C2×Dic11—82no—
682C2×Dic11C22×Q812yes—
683C2×Dic11C22×Q812yes—
684C2×Dic11H(5,𝔽2)12yes—
685C4×D11—28no—
686C4×D11—44no—
687C4×D11—44no—
688C4×D11—44no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—82no—
696C4×D11—82no—
697C24×C4—111no—
698C2×#125—111no—
699C2×#125—111no—
700C2×#125—111no—
701C2×#125—111no—
702C22×C4⋊C4—111no—
703C22×C4⋊C4—111no—
704C22×C4⋊C4—111no—
705C22×C4⋊C4—111no—
706C22×C22⋊C4—111no—
707C22×C22⋊C4—111no—
708C22×C22⋊C4—111no—
709C22×C22⋊C4—111no—
710C22×C22⋊C4—111no—
711C22×C22⋊C4—111no—
712C22×C42—111no—
713C22×C42—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#400—111no—
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400C2×D1111yescharacteristic, complemented
728#400C2×D1111yescharacteristic, complemented
729#400C2×D1111yescharacteristic, complemented
730#398—111no—
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#398—111no—
736#398—111no—
737#398—111no—
738#398—111no—
739#398—111no—
740#398—111no—
741#398—111no—
742#398—111no—
743#398—111no—
744#398—111no—
745#398C2×D1111yescharacteristic, complemented
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389C2×D1111yescharacteristic, complemented
754#387—111no—
755#387—111no—
756#387—111no—
757#387—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#387C2×D1111yescharacteristic, complemented
769#387C2×D1111yescharacteristic, complemented
770#385—111no—
771#385—111no—
772#385—111no—
773#385—111no—
774#385—111no—
775#385—111no—
776#385—111no—
777#385—111no—
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#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—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#385—111no—
812#385—111no—
813#385—111no—
814#385C2×D1111yescharacteristic
815#385C2×D1111yescharacteristic
816#385C2×D1111yescharacteristic
817#385C2×D1111yescharacteristic
818#382—111no—
819#382—111no—
820#382—111no—
821#382C2×D1111yescharacteristic, complemented
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
846C2×#95—111no—
847C2×#95—111no—
848C2×#95—111no—
849C2×#95—111no—
850C2×#95—111no—
851C2×#95C2×D1111yescharacteristic
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11C2×#12514yes—
859C22×C11C23×Q811yescharacteristic
860C22×C11C22×#4111yescharacteristic
861C22×C11C22×#4111yescharacteristic
862C22×C11C2×H(5,𝔽2)11yescharacteristic
863C22×C11C2×H(5,𝔽2)11yescharacteristic
864C22×C11#58511yescharacteristic
865C22×C11#58511yescharacteristic
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—416no—
879C2×D11C2×#12514yes—
880C2×D11C2×#12514yes—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
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—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909C25—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—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×C4—111no—
924C23×C4—111no—
925C23×C4—224no—
926C23×C4—442no—
927C23×C4—442no—
928C23×C4C22×D1111yescharacteristic
929C23×C4C22×D1111yescharacteristic
930C23×C4C22×D1111yescharacteristic
931#125—442no—
932#125—442no—
933#125—442no—
934#125—442no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
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—442no—
974C2×C4⋊C4—442no—
975C2×C4⋊C4—442no—
976C2×C4⋊C4—442no—
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—118no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
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—224no—
1009C2×C22⋊C4—224no—
1010C2×C22⋊C4—224no—
1011C2×C22⋊C4—224no—
1012C2×C22⋊C4—224no—
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—442no—
1024C2×C42—442no—
1025C2×C42C22×D1111yescharacteristic
1026C2×C42C22×D1111yescharacteristic
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
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#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083C2×C11—24no—
1084C2×C11C22×#12511yescharacteristic
1085C2×C11#345911yescharacteristic
1086C2×C11#345911yescharacteristic
1087C2×C11#349011yescharacteristic
1088C2×C11#349111yescharacteristic
1089C2×C11#350111yescharacteristic
1090C2×C11#350111yescharacteristic
1091D11—24no—
1092D11—24no—
1093C24—111no—
1094C24—111no—
1095C24—114no—
1096C24—114no—
1097C24—114no—
1098C24—441no—
1099C24—441no—
1100C24—441no—
1101C24—441no—
1102C24C23×D1111yescharacteristic
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—114no—
1116C22×C4—114no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
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—4416no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
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
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C4⋊C4—22no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
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⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—114no—
1238C22⋊C4—114no—
1239C22⋊C4—114no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4Q8×D1114yes—
1258C42—22no—
1259C42—41no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C11#3499411yescharacteristic, complemented, Sylow
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—112no—
1272C23—112no—
1273C23—112no—
1274C23—112no—
1275C23—112no—
1276C23—112no—
1277C23—1116no—
1278C23—221no—
1279C23—221no—
1280C23—221no—
1281C23—221no—
1282C23—221no—
1283C23—221no—
1284C23—221no—
1285C23—221no—
1286C23—444no—
1287C23—444no—
1288C23—444no—
1289C23—444no—
1290C23—444no—
1291C23—444no—
1292C23C2×Q8×D1112yes—
1293C23#41×D1112yes—
1294C23#41×D1112yes—
1295C23C24×D1111yescharacteristic
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
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—228no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
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—444no—
1386C2×C4—444no—
1387C2×C4—444no—
1388C2×C4—444no—
1389C2×C4—444no—
1390C2×C4—444no—
1391C2×C4—444no—
1392C2×C4—882no—
1393C2×C4—882no—
1394C2×C4—882no—
1395C2×C4C2×Q8×D1112yes—
1396C2×C4C2×Q8×D1112yes—
1397C2×C4#6704212yes—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—114no—
1405C22—114no—
1406C22—222no—
1407C22—222no—
1408C22—222no—
1409C22—222no—
1410C22—222no—
1411C22—222no—
1412C22—222no—
1413C22—222no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22—222no—
1418C22—4416no—
1419C22D11×#12514yes—
1420C22C22×Q8×D1111yescharacteristic
1421C22C2×#41×D1111yescharacteristic
1422C22C2×#41×D1111yescharacteristic
1423C22C2×#6704211yescharacteristic
1424C22#1062345311yescharacteristic
1425C22D11×H(5,𝔽2)11yescharacteristic
1426C22#1062345511yescharacteristic
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—222no—
1442C4—222no—
1443C4—222no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4—441no—
1453C4—441no—
1454C4—441no—
1455C2—24no—
1456C2—224no—
1457C2—224no—
1458C2C2×D11×#12511yescharacteristic
1459C2#1308202611yescharacteristic
1460C2#1308202711yescharacteristic
1461C2#1308230011yescharacteristic
1462C2#1308230711yescharacteristic
1463C2#1308241311yescharacteristic
1464C2#1308241511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2505C2
prime radicalC24×D11C23
hypercenter#2505D11
hypocenterC11#34994
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #13076927C2semidirect
2. #13076925C2semidirect
3. #13076923C2semidirect
4. #13076923C2semidirect
5. #13074587C2semidirect
6. #13074587C2semidirect
7. #13074587C2semidirect
8. #13074585C2semidirect
9. #13073122C2semidirect
10. #13073121C2semidirect
11. #13073120C2semidirect
12. #13073117C2semidirect
13. #13073116C2semidirect
14. #13073113C2semidirect
15. #13073110C2semidirect
16. #13072761C2semidirect
17. #13072759C2semidirect
18. #13072758C2semidirect
19. #13072757C2semidirect
20. #13072756C2semidirect
21. #13072755C2semidirect
22. #13072754C2semidirect
23. #13072752C2semidirect
31. C11×#2505C2semidirect
39. C2×#66943C22semidirect
40. C2×#66942C22semidirect
41. C2×#66942C22semidirect
48. C2×#66923C22semidirect
49. C11×#400C22semidirect
50. C11×#400C22semidirect
51. C11×#400C22semidirect
52. C11×#398C22semidirect
53. C11×#389C22semidirect
54. C11×#387C22semidirect
55. C11×#387C22semidirect
60. C11×#382C22semidirect
89. #10622599C22semidirect
90. #10622599C22semidirect
91. #10622599C22semidirect
92. #10622598C22semidirect
93. #10622598C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622596C22semidirect
99. #10622595C22semidirect
100. #10622594C22semidirect
101. #10622594C22semidirect
102. #10622593C22semidirect
103. #10622590C22semidirect
104. #10622585C22semidirect
105. #10622585C22semidirect
120. #10622546C22semidirect
121. #10622546C22semidirect
122. #10622541C22semidirect
155. #10622274C22semidirect
156. #10622274C22semidirect
157. #10622274C22semidirect
158. #10622273C22semidirect
159. #10622273C22semidirect
160. #10622272C22semidirect
161. #10622272C22semidirect
162. #10622272C22semidirect
163. #10622271C22semidirect
164. #10622271C22semidirect
165. #10622271C22semidirect
166. #10622271C22semidirect
167. #10622270C22semidirect
168. #10622270C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622270C22semidirect
172. #10622270C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
550. #2505D11semidirect
588. C22×D11#125semidirect
727. #400C2×D11semidirect
728. #400C2×D11semidirect
729. #400C2×D11semidirect
745. #398C2×D11semidirect
753. #389C2×D11semidirect
768. #387C2×D11semidirect
769. #387C2×D11semidirect
821. #382C2×D11semidirect
1266. C11#34994semidirect

Maximal subgroups

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

subgroupindex
#130769272
#130769252
#130769232
#130745872
#130745852
#130731222
#130731212
#130731202
#130731172
#130731162
#130731132
#130731102
#130727612
#130727592
#130727582
#130727572
#130727562
#130727552
#130727542
#130727522
#130712292
#130712272
C2×#106222812
D11×#3852
C4×C22⋊C4×D112
C11×#25052
#3499411