Finite Group Databasebeta

← #14962158

Subgroups — #14962158

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic
2#13076902C211yesmaximal, characteristic, complemented
3#13076383C211yesmaximal, characteristic, complemented
4#13076244C211yesmaximal, characteristic, complemented
5#13076114C211yesmaximal, characteristic, complemented
6#13076048C211yesmaximal, characteristic, complemented
7#13076036C211yesmaximal, characteristic, complemented
8#13076027C211yesmaximal, characteristic, complemented
9#13075957C211yesmaximal, characteristic, complemented
10#13075803C211yesmaximal, characteristic, complemented
11#13075698C211yesmaximal, characteristic, complemented
12#13075593C211yesmaximal, characteristic, complemented
13#13075467C211yesmaximal, characteristic, complemented
14#13075456C211yesmaximal, characteristic, complemented
15#13075191C211yesmaximal, characteristic, complemented
16#13075107C211yesmaximal, characteristic, complemented
17#13075032C211yesmaximal, characteristic, complemented
18#13074898C211yesmaximal, characteristic, complemented
19#13074435C211yesmaximal, characteristic, complemented
20#13074402C211yesmaximal, characteristic, complemented
21#13073775C211yesmaximal, characteristic, complemented
22#13073508C211yesmaximal, characteristic
23#13072995C211yesmaximal, characteristic, complemented
24#13072936C211yesmaximal, characteristic, complemented
25#13072862C211yesmaximal, characteristic, complemented
26#13072742C211yesmaximal, characteristic
27#13072319C211yesmaximal, characteristic, complemented
28#13072068C211yesmaximal, characteristic, complemented
29#13071250C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2329C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×#66999C2211yescharacteristic, complemented
35C2×C4×C22⋊D11C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×C4⋊Dic11C2211yescharacteristic
39C22×Dic11⋊C4C2211yescharacteristic
40C2×#66949C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66941C2211yescharacteristic, complemented
45C2×#66939C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66929C2211yescharacteristic
50C2×#66928C2211yescharacteristic
51C11×#391C2211yescharacteristic, complemented
52C11×#391C2211yescharacteristic, complemented
53C11×#389C2211yescharacteristic, complemented
54C11×#389C2211yescharacteristic, complemented
55C11×#387C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#380C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C2×C11×#95C2211yescharacteristic
65#10622844C2211yescharacteristic
66#10622844C2211yescharacteristic
67#10622843C2211yescharacteristic, complemented
68#10622826C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic, complemented
78#10622606C2211yescharacteristic
79#10622606C2211yescharacteristic
80#10622605C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic, complemented
82#10622604C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622603C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622600C2211yescharacteristic, complemented
93#10622598C2211yescharacteristic, complemented
94#10622597C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622593C2211yescharacteristic, complemented
99#10622593C2211yescharacteristic, complemented
100#10622592C2211yescharacteristic, complemented
101#10622592C2211yescharacteristic, complemented
102#10622589C2211yescharacteristic, complemented
103#10622586C2211yescharacteristic, complemented
104#10622586C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622559C2211yescharacteristic
112#10622556C2211yescharacteristic
113#10622556C2211yescharacteristic
114#10622556C2211yescharacteristic
115#10622555C2211yescharacteristic
116#10622555C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic, complemented
123#10622553C2211yescharacteristic, complemented
124#10622552C2211yescharacteristic
125#10622550C2211yescharacteristic, complemented
126#10622549C2211yescharacteristic, complemented
127#10622546C2211yescharacteristic, complemented
128#10622546C2211yescharacteristic, complemented
129#10622546C2211yescharacteristic, complemented
130#10622542C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic, complemented
136#10622288C2211yescharacteristic, complemented
137#10622287C2211yescharacteristic
138#10622287C2211yescharacteristic, complemented
139#10622286C2211yescharacteristic
140#10622286C2211yescharacteristic, complemented
141#10622285C2211yescharacteristic
142#10622285C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622282C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic, complemented
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic, complemented
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic, complemented
167C11⋊#401C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622272C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×C22⋊Q8—24no—
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×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229#66999—42no—
230C4×C22⋊D11—24no—
231C2×(C2×D11)⋊C4—24no—
232C2×(C2×D11)⋊C4—42no—
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(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×C4⋊Dic11—42no—
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×Dic11⋊C4—42no—
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×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300#66949—42no—
301#66949—42no—
302#66947—42no—
303#66947—42no—
304#66941—42no—
305#66939—42no—
306#66935—42no—
307#66931—42no—
308#66931—42no—
309#66929—42no—
310#66928—42no—
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#36778—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11#4114yes—
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
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—416no—
448C2×Dic22—22no—
449C2×Dic22—41no—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22—41no—
453C2×Dic22—41no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
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×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C42×C11—41no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474(C2×D11)⋊C4—22no—
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—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
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—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536C4×Dic11—22no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2849—111no—
540#2848—111no—
541#2790—111no—
542#2779—111no—
543#2770—111no—
544#2765—111no—
545#2764—111no—
546#2763—111no—
547#2757—111no—
548#2746—111no—
549#2739—111no—
550#2729—111no—
551#2718—111no—
552#2717—111no—
553#2698—111no—
554#2692—111no—
555#2687—111no—
556#2674—111no—
557#2627—111no—
558#2623—111no—
559#2561—111no—
560#2534—111no—
561#2493—111no—
562#2488—111no—
563#2480—111no—
564#2472—111no—
565#2440—111no—
566#2417—111no—
567#2329D1111yescharacteristic, complemented
568#2318—111no—
569C2×#385—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11C2×#4112yes—
575C23×C11H(5,𝔽2)12yes—
576C23×C112−1+412yes—
577C23×C11C2511yescharacteristic
578C22×D11—28no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11—44no—
603C22×D11—44no—
604C22×D11H(5,𝔽2)12yes—
605C22×D112−1+412yes—
606Q8×C11—82no—
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—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—44no—
648C2×C4×C11—44no—
649C2×C4×C11—82no—
650C2×C4×C11C2×#4112yes—
651C2×C4×C11C2×#4112yes—
652C22⋊D11—44no—
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—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—44no—
692C2×Dic11—44no—
693C2×Dic11—82no—
694C2×Dic11H(5,𝔽2)12yes—
695D44—82no—
696D44—82no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—82no—
702Dic22—82no—
703Dic22—82no—
704C24×C4—111no—
705C2×C4⋊Q8—111no—
706C2×#126—111no—
707C2×#124—111no—
708C2×#123—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8—111no—
714C2×C22⋊Q8—111no—
715C2×C22⋊Q8—111no—
716C2×C22⋊Q8C2×D1111yescharacteristic
717C2×#120—111no—
718C2×C4×D4—111no—
719C22×C4⋊C4—111no—
720C22×C4⋊C4—111no—
721C22×C22⋊C4—111no—
722C22×C22⋊C4—111no—
723#401—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400—111no—
732#400—111no—
733#399—111no—
734#399—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#397—111no—
746#397—111no—
747#397—111no—
748#397—111no—
749#397—111no—
750#397—111no—
751#397—111no—
752#397—111no—
753#397—111no—
754#396—111no—
755#396—111no—
756#396—111no—
757#396—111no—
758#396—111no—
759#395—111no—
760#395—111no—
761#395—111no—
762#395—111no—
763#394—111no—
764#394—111no—
765#394—111no—
766#394—111no—
767#393—111no—
768#393—111no—
769#393—111no—
770#393—111no—
771#391—111no—
772#391—111no—
773#391C2×D1111yescharacteristic, complemented
774#391C2×D1111yescharacteristic, complemented
775#390—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389C2×D1111yescharacteristic, complemented
780#389C2×D1111yescharacteristic, complemented
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#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387C2×D1111yescharacteristic, complemented
802#387C2×D1111yescharacteristic, complemented
803#387C2×D1111yescharacteristic, complemented
804#387C2×D1111yescharacteristic, complemented
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#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385C2×D1111yescharacteristic
832#385C2×D1111yescharacteristic
833#384—111no—
834#383—111no—
835#383—111no—
836#382—111no—
837#382—111no—
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#381—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380—111no—
848#380—111no—
849#380—111no—
850#380C2×D1111yescharacteristic
851#379—111no—
852#379—111no—
853#379—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4C2×D1111yescharacteristic
856C4×C22⋊C4C2×D1111yescharacteristic
857C2×#95—111no—
858C2×#95C2×D1111yescharacteristic
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11#54214yes—
866C22×C11C22×#4111yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11C2×2−1+411yescharacteristic
871C22×C11C2×2−1+411yescharacteristic
872C22×C11#58511yescharacteristic
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—416no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909Dic11—22no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922C25—111no—
923C22×Q8—111no—
924C22×Q8—111no—
925C22×Q8C22×D1111yescharacteristic
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—442no—
938C23×C4—442no—
939C23×C4—442no—
940C23×C4C22×D1111yescharacteristic
941C23×C4C22×D1111yescharacteristic
942C23×C4C22×D1111yescharacteristic
943C4⋊Q8—442no—
944#126—442no—
945#124—442no—
946#123—442no—
947#123—442no—
948#123—442no—
949C22⋊Q8—24no—
950C22⋊Q8—442no—
951C22⋊Q8—442no—
952C22⋊Q8—442no—
953C22⋊Q8—442no—
954C22⋊Q8—442no—
955#120—442no—
956C4×D4—224no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—442no—
987C2×C4⋊C4—442no—
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊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—224no—
1034C2×C22⋊C4—442no—
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098C2×C11—24no—
1099C2×C11C2×#54211yescharacteristic
1100C2×C11#349211yescharacteristic
1101C2×C11#350511yescharacteristic
1102C2×C11#353211yescharacteristic
1103C2×C11#353511yescharacteristic
1104C2×C11#353511yescharacteristic
1105C2×C11#353811yescharacteristic
1106D11—42no—
1107D11—42no—
1108D11—81no—
1109C24—111no—
1110C24—111no—
1111C24—111no—
1112C24—222no—
1113C24—222no—
1114C24—222no—
1115C24—222no—
1116C24—222no—
1117C24—441no—
1118C24—441no—
1119C24C23×D1111yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—222no—
1124C2×Q8—441no—
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8—441no—
1128C2×Q8—441no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—4416no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4#433914yes—
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—222no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—222no—
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—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
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⋊C4—222no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—222no—
1282C42—441no—
1283C42—441no—
1284C11#3677811yescharacteristic, complemented, Sylow
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—112no—
1290C23—112no—
1291C23—228no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—444no—
1312C23—444no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23C2×#433912yes—
1318C23#6704012yes—
1319C23#6704212yes—
1320C23C24×D1111yescharacteristic
1321Q8—82no—
1322Q8—882no—
1323Q8—882no—
1324D4—444no—
1325D4—882no—
1326D4—882no—
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—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—82no—
1370C2×C4—112no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—882no—
1416C2×C4—882no—
1417C2×C4C2×#433912yes—
1418C2×C4C2×#433912yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—222no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—4416no—
1432C22—441no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22#1062311314yes—
1448C22C22×#433911yescharacteristic
1449C22C2×#6704011yescharacteristic
1450C22C2×#6704211yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×H(5,𝔽2)11yescharacteristic
1453C22#1062345511yescharacteristic
1454C22D11×2−1+411yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—222no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C2—24no—
1483C2—442no—
1484C2—442no—
1485C2—881no—
1486C2C2×#1062311311yescharacteristic
1487C2#1308231911yescharacteristic
1488C2#1308244611yescharacteristic
1489C2#1308276711yescharacteristic
1490C2#1308282311yescharacteristic
1491C2#1308283011yescharacteristic
1492C2#1308285811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2329C2
prime radicalC2×#66935C22
hypercenter#2329D11
hypocenterC11#36778
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2329

Complements

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

NH ≅ G/Ntype
2. #13076902C2semidirect
3. #13076383C2semidirect
4. #13076244C2semidirect
5. #13076114C2semidirect
6. #13076048C2semidirect
7. #13076036C2semidirect
8. #13076027C2semidirect
9. #13075957C2semidirect
10. #13075803C2semidirect
11. #13075698C2semidirect
12. #13075593C2semidirect
13. #13075467C2semidirect
14. #13075456C2semidirect
15. #13075191C2semidirect
16. #13075107C2semidirect
17. #13075032C2semidirect
18. #13074898C2semidirect
19. #13074435C2semidirect
20. #13074402C2semidirect
21. #13073775C2semidirect
23. #13072995C2semidirect
24. #13072936C2semidirect
25. #13072862C2semidirect
27. #13072319C2semidirect
28. #13072068C2semidirect
29. #13071250C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2329C2semidirect
34. C2×#66999C22semidirect
44. C2×#66941C22semidirect
51. C11×#391C22semidirect
52. C11×#391C22semidirect
53. C11×#389C22semidirect
54. C11×#389C22semidirect
55. C11×#387C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
67. #10622843C22semidirect
76. #10622607C22semidirect
77. #10622607C22semidirect
80. #10622605C22semidirect
81. #10622605C22semidirect
92. #10622600C22semidirect
93. #10622598C22semidirect
94. #10622597C22semidirect
95. #10622597C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622593C22semidirect
99. #10622593C22semidirect
100. #10622592C22semidirect
101. #10622592C22semidirect
102. #10622589C22semidirect
103. #10622586C22semidirect
104. #10622586C22semidirect
122. #10622553C22semidirect
123. #10622553C22semidirect
125. #10622550C22semidirect
126. #10622549C22semidirect
127. #10622546C22semidirect
128. #10622546C22semidirect
129. #10622546C22semidirect
130. #10622542C22semidirect
135. #10622288C22semidirect
136. #10622288C22semidirect
138. #10622287C22semidirect
140. #10622286C22semidirect
145. #10622282C22semidirect
146. #10622282C22semidirect
159. #10622280C22semidirect
166. #10622277C22semidirect
167. C11⋊#401C22semidirect
168. #10622273C22semidirect
169. #10622273C22semidirect
170. #10622272C22semidirect
171. #10622272C22semidirect
172. #10622271C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622264C22semidirect
186. #10622263C22semidirect
567. #2329D11semidirect
773. #391C2×D11semidirect
774. #391C2×D11semidirect
779. #389C2×D11semidirect
780. #389C2×D11semidirect
801. #387C2×D11semidirect
802. #387C2×D11semidirect
803. #387C2×D11semidirect
804. #387C2×D11semidirect
1284. C11#36778semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130769022
#130763832
#130762442
#130761142
#130760482
#130760362
#130760272
#130759572
#130758032
#130756982
#130755932
#130754672
#130754562
#130751912
#130751072
#130750322
#130748982
#130744352
#130744022
#130737752
#130735082
#130729952
#130729362
#130728622
#130727422
#130723192
#130720682
#130712502
C2×#106222812
C11×#23292
#3677811