Finite Group Databasebeta

← #14961408

Subgroups — #14961408

Order 2816.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076964C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076391C211yesmaximal, characteristic, complemented
4#13076385C211yesmaximal, characteristic, complemented
5#13076383C211yesmaximal, characteristic, complemented
6#13076382C211yesmaximal, characteristic, complemented
7#13076368C211yesmaximal, characteristic, complemented
8#13076365C211yesmaximal, characteristic, complemented
9#13076099C211yesmaximal, characteristic, complemented
10#13076095C211yesmaximal, characteristic, complemented
11#13075747C211yesmaximal, characteristic, complemented
12#13075743C211yesmaximal, characteristic, complemented
13#13075597C211yesmaximal, characteristic, complemented
14#13075592C211yesmaximal, characteristic, complemented
15#13075503C211yesmaximal, characteristic, complemented
16#13075491C211yesmaximal, characteristic, complemented
17#13074930C211yesmaximal, characteristic, complemented
18#13074926C211yesmaximal, characteristic, complemented
19#13074732C211yesmaximal, characteristic, complemented
20#13074588C211yesmaximal, characteristic, complemented
21#13073841C211yesmaximal, characteristic, complemented
22#13073835C211yesmaximal, characteristic, complemented
23#13072312C211yesmaximal, characteristic, complemented
24#13072281C211yesmaximal, characteristic
25#13072281C211yesmaximal, characteristic
26#13072279C211yesmaximal, characteristic
27#13072279C211yesmaximal, characteristic
28#13071229C211yesmaximal, characteristic
29#13071211C211yesmaximal, characteristic
30C2×#10622603C211yesmaximal, characteristic
31C11×#2440C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic, complemented
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C22×C11×C4⋊C4C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66997C2211yescharacteristic, complemented
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C2×#66977C2211yescharacteristic
43C2×#66977C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66942C2211yescharacteristic, complemented
48C2×#66941C2211yescharacteristic, complemented
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C11×#398C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#395C2211yescharacteristic, complemented
54C11×#395C2211yescharacteristic, complemented
55C11×#389C2211yescharacteristic, complemented
56C11×#389C2211yescharacteristic, complemented
57C11×#385C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#384C2211yescharacteristic, complemented
60C11×#380C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62#10622844C2211yescharacteristic
63#10622844C2211yescharacteristic
64#10622843C2211yescharacteristic, complemented
65#10622842C2211yescharacteristic, complemented
66#10622842C2211yescharacteristic, complemented
67#10622825C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72C2×C11⋊#95C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622605C2211yescharacteristic
80#10622605C2211yescharacteristic
81#10622605C2211yescharacteristic
82#10622605C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622603C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622599C2211yescharacteristic, complemented
104#10622599C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622596C2211yescharacteristic, complemented
112#10622596C2211yescharacteristic, complemented
113#10622596C2211yescharacteristic, complemented
114#10622595C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622593C2211yescharacteristic, complemented
118#10622593C2211yescharacteristic, complemented
119#10622592C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622592C2211yescharacteristic, complemented
122#10622592C2211yescharacteristic, complemented
123#10622591C2211yescharacteristic, complemented
124#10622589C2211yescharacteristic, complemented
125#10622589C2211yescharacteristic, complemented
126#10622587C2211yescharacteristic, complemented
127#10622586C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622585C2211yescharacteristic, complemented
131#10622585C2211yescharacteristic, complemented
132#10622585C2211yescharacteristic, complemented
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622563C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622559C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622553C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622553C2211yescharacteristic
151#10622546C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic
156#10622289C2211yescharacteristic
157#10622286C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622282C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C11×C4⋊Q8—42no—
203C11×C22⋊Q8—42no—
204C11×C22⋊Q8—42no—
205C2×C11×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×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
232#66999—42no—
233#66999—42no—
234#66997—42no—
235C2×(C2×D11)⋊C4—42no—
236C2×(C2×D11)⋊C4—42no—
237C2×(C2×D11)⋊C4Q818yescomplemented
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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270#66977—42no—
271#66977—42no—
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×C4×Dic11—42no—
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307#66949—42no—
308#66949—42no—
309#66942—42no—
310#66941—42no—
311C22⋊C4×D11—42no—
312C22⋊C4×D11—42no—
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#36749—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C23×D11—22no—
364C23×D11—22no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11—41no—
368C23×D11—41no—
369C23×D11C2×Q814yes—
370C23×D11C2411yescharacteristic
371C23×D11C2411yescharacteristic
372C2×Q8×C11—22no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11C2×Q814yes—
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
400C22×C4×C11C2411yescharacteristic
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11C2×Q814yes—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
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×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×Dic22—22no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C42×C11—41no—
463C42×C11—41no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
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)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4C2×Q814yes—
489(C2×D11)⋊C4C2×Q814yes—
490(C2×D11)⋊C4C2×Q814yes—
491(C2×D11)⋊C4C2×Q814yes—
492C4⋊Dic11—22no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
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⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2857—111no—
535#2851—111no—
536#2790—111no—
537#2790—111no—
538#2790—111no—
539#2790—111no—
540#2788—111no—
541#2788—111no—
542#2768—111no—
543#2768—111no—
544#2742—111no—
545#2742—111no—
546#2729—111no—
547#2729—111no—
548#2720—111no—
549#2720—111no—
550#2677—111no—
551#2677—111no—
552#2659—111no—
553#2646—111no—
554#2569—111no—
555#2569—111no—
556#2440—111no—
557#2440D1111yescharacteristic, complemented
558#2437—111no—
559#2437—111no—
560#2437—111no—
561#2437—111no—
562#2315—111no—
563#2312—111no—
564C2×#388—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11C22×Q812yes—
570C23×C11H(5,𝔽2)12yes—
571C23×C112−1+412yes—
572C23×C11C2511yescharacteristic
573C22×D11—21no—
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—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—28no—
586C22×D11—44no—
587C22×D11—44no—
588C22×D11—82no—
589C22×D11—82no—
590C22×D11—82no—
591C22×D11—82no—
592C22×D11C22×Q812yes—
593C22×D11C22×Q812yes—
594Q8×C11—82no—
595Q8×C11—82no—
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—21no—
635C2×C4×C11—44no—
636C2×C4×C11—44no—
637C2×C4×C11—82no—
638C2×C4×C11C22×Q812yes—
639C2×C4×C11C22×Q812yes—
640C2×C4×C11H(5,𝔽2)12yes—
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—21no—
680C2×Dic11—44no—
681C2×Dic11—44no—
682C2×Dic11—82no—
683C2×Dic11C22×Q812yes—
684C2×Dic11C22×Q812yes—
685C2×Dic11H(5,𝔽2)12yes—
686C4×D11—82no—
687C4×D11—82no—
688C4×D11—82no—
689C4×D11—82no—
690Dic22—82no—
691Dic22—82no—
692C2×C4⋊Q8—111no—
693C2×C4⋊Q8—111no—
694C2×C4⋊Q8C2×D1111yescharacteristic, complemented
695C2×#125—111no—
696C2×C22⋊Q8—111no—
697C2×C22⋊Q8—111no—
698C2×C22⋊Q8—111no—
699C2×C22⋊Q8—111no—
700C2×C22⋊Q8—111no—
701C2×C22⋊Q8—111no—
702C2×C22⋊Q8C2×D1111yescharacteristic
703C2×C22⋊Q8C2×D1111yescharacteristic
704C22×C4⋊C4C2×D1111yescharacteristic
705C22×C22⋊C4—111no—
706C22×C22⋊C4—111no—
707C22×C22⋊C4—111no—
708C22×C22⋊C4—111no—
709C22×C22⋊C4—111no—
710C22×C42—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#399—111no—
720#399—111no—
721#399—111no—
722#399—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#398—111no—
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#398—111no—
736#398—111no—
737#398C2×D1111yescharacteristic, complemented
738#398C2×D1111yescharacteristic, complemented
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396—111no—
746#396—111no—
747#395—111no—
748#395—111no—
749#395—111no—
750#395—111no—
751#395—111no—
752#395—111no—
753#395C2×D1111yescharacteristic, complemented
754#395C2×D1111yescharacteristic, complemented
755#393—111no—
756#393—111no—
757#393—111no—
758#393—111no—
759#391—111no—
760#391—111no—
761#389—111no—
762#389—111no—
763#389—111no—
764#389—111no—
765#389—111no—
766#389—111no—
767#389—111no—
768#389—111no—
769#389C2×D1111yescharacteristic, complemented
770#389C2×D1111yescharacteristic, complemented
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—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#387—111no—
788#387—111no—
789#387—111no—
790#387—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#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#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385C2×D1111yescharacteristic
822#385C2×D1111yescharacteristic
823#384—111no—
824#384—111no—
825#384C2×D1111yescharacteristic, complemented
826#382—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#380—111no—
838#380—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
841#379—111no—
842#379—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4C2×D1111yescharacteristic
845C2×#95—111no—
846C2×#95—111no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11#54414yes—
854C22×C11C23×Q811yescharacteristic
855C22×C11C2×H(5,𝔽2)11yescharacteristic
856C22×C11C2×H(5,𝔽2)11yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11C2×2−1+411yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—88no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890Dic11—22no—
891Dic11—22no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904C25—111no—
905C22×Q8—111no—
906C22×Q8—111no—
907C22×Q8C22×D1111yescharacteristic
908C22×Q8C22×D1111yescharacteristic
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4C22×D1111yescharacteristic
917C23×C4C22×D1111yescharacteristic
918C23×C4C22×D1111yescharacteristic
919C4⋊Q8—42no—
920C4⋊Q8—442no—
921C4⋊Q8—442no—
922#125—442no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927C22⋊Q8—442no—
928C22⋊Q8—442no—
929C22⋊Q8—442no—
930C22⋊Q8—442no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
969C2×C4⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—118no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
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—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—442no—
1014C2×C22⋊C4—442no—
1015C2×C22⋊C4—442no—
1016C2×C22⋊C4—442no—
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—442no—
1028C2×C42C22×D1111yescharacteristic
1029C2×C42C22×D1111yescharacteristic
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#95—111no—
1068#95—111no—
1069#95—111no—
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078C2×C11—24no—
1079C2×C11C2×#54411yescharacteristic
1080C2×C11#350111yescharacteristic
1081C2×C11#350111yescharacteristic
1082C2×C11#353511yescharacteristic
1083C2×C11#353711yescharacteristic
1084C2×C11#356011yescharacteristic
1085C2×C11#356111yescharacteristic
1086D11—42no—
1087D11—42no—
1088C24—111no—
1089C24—111no—
1090C24—114no—
1091C24—222no—
1092C24—222no—
1093C24—441no—
1094C24—441no—
1095C24—441no—
1096C24—441no—
1097C24C23×D1111yescharacteristic
1098C2×Q8—22no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—222no—
1105C2×Q8—441no—
1106C2×Q8—441no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—114no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4Q8×D1114yes—
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—222no—
1188C4⋊C4—222no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
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—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
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⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C42—41no—
1253C42—41no—
1254C42—222no—
1255C42—222no—
1256C42—441no—
1257C42—441no—
1258C42—441no—
1259C42—441no—
1260C11#3674911yescharacteristic, complemented, Sylow
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—112no—
1266C23—112no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—228no—
1280C23—444no—
1281C23—444no—
1282C23—882no—
1283C23—882no—
1284C23—882no—
1285C23—882no—
1286C23#6703712yes—
1287C23C2×Q8×D1112yes—
1288C23#6704012yes—
1289C23C24×D1111yescharacteristic
1290Q8—82no—
1291Q8—82no—
1292Q8—882no—
1293Q8—882no—
1294C2×C4—21no—
1295C2×C4—21no—
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—44no—
1334C2×C4—44no—
1335C2×C4—82no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
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—444no—
1379C2×C4—444no—
1380C2×C4—882no—
1381C2×C4—882no—
1382C2×C4—882no—
1383C2×C4—882no—
1384C2×C4—882no—
1385C2×C4#6703712yes—
1386C2×C4C2×Q8×D1112yes—
1387C2×C4C2×Q8×D1112yes—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—222no—
1395C22—222no—
1396C22—222no—
1397C22—222no—
1398C22—222no—
1399C22—222no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—888no—
1409C22#1062326014yes—
1410C22C2×#6703711yescharacteristic
1411C22C2×#6703711yescharacteristic
1412C22C22×Q8×D1111yescharacteristic
1413C22C2×#6704011yescharacteristic
1414C22#1062345311yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22#1062345711yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—222no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C2—24no—
1446C2—442no—
1447C2—442no—
1448C2C2×#1062326011yescharacteristic
1449C2#1308241211yescharacteristic
1450C2#1308241811yescharacteristic
1451C2#1308282011yescharacteristic
1452C2#1308284611yescharacteristic
1453C2#1308316411yescharacteristic
1454C2#1308318211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2440C2
prime radicalC24×D11C23
hypercenter#2440D11
hypocenterC11#36749
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. #13076964C2semidirect
2. #13076922C2semidirect
3. #13076391C2semidirect
4. #13076385C2semidirect
5. #13076383C2semidirect
6. #13076382C2semidirect
7. #13076368C2semidirect
8. #13076365C2semidirect
9. #13076099C2semidirect
10. #13076095C2semidirect
11. #13075747C2semidirect
12. #13075743C2semidirect
13. #13075597C2semidirect
14. #13075592C2semidirect
15. #13075503C2semidirect
16. #13075491C2semidirect
17. #13074930C2semidirect
18. #13074926C2semidirect
19. #13074732C2semidirect
20. #13074588C2semidirect
21. #13073841C2semidirect
22. #13073835C2semidirect
23. #13072312C2semidirect
31. C11×#2440C2semidirect
32. C2×C11×C4⋊Q8C22semidirect
38. C2×#66997C22semidirect
47. C2×#66942C22semidirect
48. C2×#66941C22semidirect
51. C11×#398C22semidirect
52. C11×#398C22semidirect
53. C11×#395C22semidirect
54. C11×#395C22semidirect
55. C11×#389C22semidirect
56. C11×#389C22semidirect
59. C11×#384C22semidirect
64. #10622843C22semidirect
65. #10622842C22semidirect
66. #10622842C22semidirect
103. #10622599C22semidirect
104. #10622599C22semidirect
105. #10622598C22semidirect
106. #10622597C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622597C22semidirect
111. #10622596C22semidirect
112. #10622596C22semidirect
113. #10622596C22semidirect
114. #10622595C22semidirect
115. #10622594C22semidirect
116. #10622593C22semidirect
117. #10622593C22semidirect
118. #10622593C22semidirect
119. #10622592C22semidirect
120. #10622592C22semidirect
121. #10622592C22semidirect
122. #10622592C22semidirect
123. #10622591C22semidirect
124. #10622589C22semidirect
125. #10622589C22semidirect
126. #10622587C22semidirect
127. #10622586C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
130. #10622585C22semidirect
131. #10622585C22semidirect
132. #10622585C22semidirect
151. #10622546C22semidirect
152. #10622546C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
237. C2×(C2×D11)⋊C4Q8semidirect
557. #2440D11semidirect
694. C2×C4⋊Q8C2×D11semidirect
737. #398C2×D11semidirect
738. #398C2×D11semidirect
753. #395C2×D11semidirect
754. #395C2×D11semidirect
769. #389C2×D11semidirect
770. #389C2×D11semidirect
825. #384C2×D11semidirect
1260. C11#36749semidirect

Maximal subgroups

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

subgroupindex
#130769642
#130769222
#130763912
#130763852
#130763832
#130763822
#130763682
#130763652
#130760992
#130760952
#130757472
#130757432
#130755972
#130755922
#130755032
#130754912
#130749302
#130749262
#130747322
#130745882
#130738412
#130738352
#130723122
#130722812
#130722792
#130712292
#130712112
C2×#106226032
C11×#24402
#3674911