Finite Group Databasebeta

← #14962235

Subgroups — #14962235

Order 2816.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076934C211yesmaximal, characteristic, complemented
2#13076923C211yesmaximal, characteristic, complemented
3#13076335C211yesmaximal, characteristic, complemented
4#13076292C211yesmaximal, characteristic, complemented
5#13076125C211yesmaximal, characteristic, complemented
6#13076114C211yesmaximal, characteristic, complemented
7#13075813C211yesmaximal, characteristic, complemented
8#13075793C211yesmaximal, characteristic, complemented
9#13075772C211yesmaximal, characteristic, complemented
10#13075770C211yesmaximal, characteristic, complemented
11#13075749C211yesmaximal, characteristic, complemented
12#13075684C211yesmaximal, characteristic, complemented
13#13075677C211yesmaximal, characteristic, complemented
14#13075540C211yesmaximal, characteristic, complemented
15#13075151C211yesmaximal, characteristic, complemented
16#13075140C211yesmaximal, characteristic, complemented
17#13075077C211yesmaximal, characteristic, complemented
18#13074428C211yesmaximal, characteristic, complemented
19#13074403C211yesmaximal, characteristic, complemented
20#13073112C211yesmaximal, characteristic, complemented
21#13072996C211yesmaximal, characteristic, complemented
22#13072896C211yesmaximal, characteristic, complemented
23#13072437C211yesmaximal, characteristic, complemented
24#13072276C211yesmaximal, characteristic, complemented
25#13072098C211yesmaximal, characteristic, complemented
26#13072014C211yesmaximal, characteristic
27#13072005C211yesmaximal, characteristic
28#13071278C211yesmaximal, characteristic
29#13071229C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2745C211yesmaximal, characteristic, complemented
32C2×#66999C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66982C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C2×#66951C2211yescharacteristic, complemented
37C2×#66947C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×#66942C2211yescharacteristic, complemented
40C2×#66935C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C4×D44C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#401C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#397C2211yescharacteristic
51C11×#395C2211yescharacteristic, complemented
52C11×#393C2211yescharacteristic
53C11×#391C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#385C2211yescharacteristic
60C11×#381C2211yescharacteristic
61C11×#380C2211yescharacteristic
62#10622844C2211yescharacteristic, complemented
63#10622842C2211yescharacteristic, complemented
64#10622825C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622607C2211yescharacteristic, complemented
67#10622606C2211yescharacteristic
68#10622606C2211yescharacteristic
69#10622605C2211yescharacteristic, complemented
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic, complemented
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic, complemented
80#10622601C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622599C2211yescharacteristic, complemented
83#10622599C2211yescharacteristic, complemented
84#10622596C2211yescharacteristic, complemented
85#10622596C2211yescharacteristic, complemented
86#10622593C2211yescharacteristic, complemented
87#10622593C2211yescharacteristic, complemented
88#10622586C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622574C2211yescharacteristic
91#10622572C2211yescharacteristic
92#10622571C2211yescharacteristic
93#10622570C2211yescharacteristic
94#10622569C2211yescharacteristic
95#10622568C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622562C2211yescharacteristic
100#10622561C2211yescharacteristic
101#10622561C2211yescharacteristic
102#10622559C2211yescharacteristic
103#10622558C2211yescharacteristic
104#10622557C2211yescharacteristic
105#10622556C2211yescharacteristic
106#10622556C2211yescharacteristic
107#10622555C2211yescharacteristic
108#10622555C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111#10622553C2211yescharacteristic, complemented
112#10622546C2211yescharacteristic, complemented
113#10622546C2211yescharacteristic, complemented
114#10622546C2211yescharacteristic, complemented
115#10622290C2211yescharacteristic, complemented
116#10622288C2211yescharacteristic
117#10622288C2211yescharacteristic
118#10622288C2211yescharacteristic
119#10622288C2211yescharacteristic
120#10622288C2211yescharacteristic, complemented
121#10622288C2211yescharacteristic, complemented
122#10622288C2211yescharacteristic, complemented
123#10622288C2211yescharacteristic, complemented
124#10622285C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622283C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622282C2211yescharacteristic
129#10622282C2211yescharacteristic, complemented
130#10622281C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622281C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic, complemented
140#10622280C2211yescharacteristic
141#10622280C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic, complemented
146#10622279C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622277C2211yescharacteristic
155#10622277C2211yescharacteristic
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic, complemented
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160#10622274C2211yescharacteristic, complemented
161#10622273C2211yescharacteristic, complemented
162#10622273C2211yescharacteristic, complemented
163#10622273C2211yescharacteristic, complemented
164#10622272C2211yescharacteristic, complemented
165#10622272C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622270C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223#66999—42no—
224#66999—42no—
225#66982—42no—
226C2×(C2×D11)⋊C4—24no—
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×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×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290#66951—42no—
291#66947—42no—
292C4⋊C4×D11—42no—
293#66942—42no—
294#66935—24no—
295C22⋊C4×D11—24no—
296C22⋊C4×D11—42no—
297C22⋊C4×D11—42no—
298C22⋊C4×D11—42no—
299C4×D44—42no—
300C42×D11—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
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
357#36780—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11#4114yes—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C2×C22⋊D11—22no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C22×Dic11—22no—
393C22×Dic11—41no—
394C22×Dic11—41no—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C2×D44—22no—
409C2×D44—22no—
410C2×D44—22no—
411C2×D44—22no—
412C2×D44—41no—
413C2×D44—41no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—41no—
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×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C42×C11—41no—
455C42×C11—41no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—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—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
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)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490C4⋊Dic11—22no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
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—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2852—111no—
525#2851—111no—
526#2786—111no—
527#2782—111no—
528#2770—111no—
529#2770—111no—
530#2747—111no—
531#2746—111no—
532#2745D1111yescharacteristic, complemented
533#2744—111no—
534#2744—111no—
535#2743—111no—
536#2738—111no—
537#2737—111no—
538#2723—111no—
539#2695—111no—
540#2694—111no—
541#2690—111no—
542#2627—111no—
543#2623—111no—
544#2505—111no—
545#2493—111no—
546#2483—111no—
547#2450—111no—
548#2437—111no—
549#2419—111no—
550#2412—111no—
551#2412—111no—
552#2321—111no—
553#2315—111no—
554C2×#388—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11C2×#4112yes—
562C23×C11C2511yescharacteristic
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—28no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—82no—
584C22×D11—82no—
585C22×D11—82no—
586C22×D11—82no—
587C22×D11C2×#4112yes—
588C22×D11C2×#4112yes—
589C22×D11H(5,𝔽2)12yes—
590C22×D112−1+412yes—
591Q8×C11—82no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
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—82no—
635C22⋊D11—82no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
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—82no—
675C2×Dic11H(5,𝔽2)12yes—
676D44—44no—
677D44—82no—
678C4×D11—44no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—82no—
683C4×D11—82no—
684C4×D11—82no—
685C4×D11—82no—
686C4×D11—82no—
687C2×#126—111no—
688C2×#125—111no—
689C2×#123—111no—
690C2×#123—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8—111no—
693C2×#120—111no—
694C2×C4×D4—111no—
695C22×C4⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4—111no—
698C22×C22⋊C4—111no—
699C22×C22⋊C4—111no—
700C22×C22⋊C4—111no—
701C22×C42—111no—
702#401C2×D1111yescharacteristic, complemented
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#400—111no—
712#400—111no—
713#400C2×D1111yescharacteristic, complemented
714#400C2×D1111yescharacteristic, complemented
715#399—111no—
716#399—111no—
717#399—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397C2×D1111yescharacteristic
739#396—111no—
740#396—111no—
741#396—111no—
742#395—111no—
743#395C2×D1111yescharacteristic, complemented
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#393—111no—
749#393C2×D1111yescharacteristic
750#391C2×D1111yescharacteristic, complemented
751#390—111no—
752#390—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388C2×D1111yescharacteristic
770#388C2×D1111yescharacteristic
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387C2×D1111yescharacteristic, complemented
784#387C2×D1111yescharacteristic, complemented
785#387C2×D1111yescharacteristic, complemented
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386—111no—
793#386—111no—
794#386—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#385—111no—
815#385C2×D1111yescharacteristic
816#383—111no—
817#383—111no—
818#382—111no—
819#382—111no—
820#381—111no—
821#381—111no—
822#381—111no—
823#381—111no—
824#381—111no—
825#381—111no—
826#381C2×D1111yescharacteristic
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
838#379—111no—
839C4×C22⋊C4—111no—
840C2×#95—111no—
841C2×#95—111no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11C22×#4111yescharacteristic
850C22×C11C2×H(5,𝔽2)11yescharacteristic
851C22×C11C2×H(5,𝔽2)11yescharacteristic
852C22×C11C2×2−1+411yescharacteristic
853C22×C11#58511yescharacteristic
854C22×C11#58511yescharacteristic
855C22×C11#58511yescharacteristic
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—22no—
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—41no—
866C2×D11—41no—
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—41no—
876C2×D11—88no—
877C2×D11#53914yes—
878C4×C11—41no—
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—
890C4×C11—41no—
891C4×C11—41no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905C25—111no—
906C22×Q8C22×D1111yescharacteristic
907C22×D4—111no—
908C22×D4—111no—
909C22×D4—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×C4C22×D1111yescharacteristic
921#126—442no—
922#125—442no—
923#123—442no—
924#123—442no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927#120—224no—
928C4×D4—442no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
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—442no—
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
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—224no—
1001C2×C22⋊C4—224no—
1002C2×C22⋊C4—442no—
1003C2×C22⋊C4—442no—
1004C2×C22⋊C4—442no—
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—442no—
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
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#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075C2×C11—42no—
1076C2×C11C2×#53911yescharacteristic
1077C2×C11#349111yescharacteristic
1078C2×C11#350511yescharacteristic
1079C2×C11#353511yescharacteristic
1080C2×C11#354211yescharacteristic
1081C2×C11#354511yescharacteristic
1082C2×C11#356411yescharacteristic
1083D11—24no—
1084D11—42no—
1085D11—81no—
1086C24—111no—
1087C24—111no—
1088C24—114no—
1089C24—111no—
1090C24—222no—
1091C24—222no—
1092C24—441no—
1093C24—441no—
1094C24—441no—
1095C24—441no—
1096C24C23×D1111yescharacteristic
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×D4—222no—
1101C2×D4—222no—
1102C2×D4—222no—
1103C2×D4—222no—
1104C2×D4—222no—
1105C2×D4—441no—
1106C2×D4—441no—
1107C2×D4—441no—
1108C2×D4—441no—
1109C22×C4—22no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
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—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—441no—
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×C4—441no—
1154C22×C4—441no—
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
1168C22×C4C23×D1111yescharacteristic
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
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—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
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—
1245C42—41no—
1246C42—41no—
1247C42—222no—
1248C42—222no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C11#3678011yescharacteristic, complemented, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—112no—
1260C23—112no—
1261C23—112no—
1262C23—112no—
1263C23—228no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
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—221no—
1280C23—221no—
1281C23—444no—
1282C23—444no—
1283C23—882no—
1284C23—882no—
1285C23—882no—
1286C23—882no—
1287C23#41×D1112yes—
1288C23C24×D1111yescharacteristic
1289Q8—82no—
1290D4—444no—
1291D4—882no—
1292D4—882no—
1293C2×C4—21no—
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—21no—
1334C2×C4—21no—
1335C2×C4—82no—
1336C2×C4—112no—
1337C2×C4—221no—
1338C2×C4—221no—
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—444no—
1376C2×C4—444no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—882no—
1380C2×C4—882no—
1381C2×C4—882no—
1382C2×C4—882no—
1383C2×C4—882no—
1384C2×C4—882no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—114no—
1393C22—222no—
1394C22—222no—
1395C22—222no—
1396C22—222no—
1397C22—222no—
1398C22—222no—
1399C22—222no—
1400C22—222no—
1401C22—222no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—888no—
1414C22C2×#41×D1111yescharacteristic
1415C22#1062345311yescharacteristic
1416C22#1062345311yescharacteristic
1417C22D11×H(5,𝔽2)11yescharacteristic
1418C22D11×H(5,𝔽2)11yescharacteristic
1419C22D11×2−1+411yescharacteristic
1420C22#1062345711yescharacteristic
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—222no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C2—42no—
1449C2—224no—
1450C2—442no—
1451C2—881no—
1452C2D11×#53911yescharacteristic
1453C2#1308231111yescharacteristic
1454C2#1308244711yescharacteristic
1455C2#1308282711yescharacteristic
1456C2#1308293111yescharacteristic
1457C2#1308296411yescharacteristic
1458C2#1308323511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2745C2
prime radicalC2×#66935C22
hypercenter#2745D11
hypocenterC11#36780
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2745

Complements

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

NH ≅ G/Ntype
1. #13076934C2semidirect
2. #13076923C2semidirect
3. #13076335C2semidirect
4. #13076292C2semidirect
5. #13076125C2semidirect
6. #13076114C2semidirect
7. #13075813C2semidirect
8. #13075793C2semidirect
9. #13075772C2semidirect
10. #13075770C2semidirect
11. #13075749C2semidirect
12. #13075684C2semidirect
13. #13075677C2semidirect
14. #13075540C2semidirect
15. #13075151C2semidirect
16. #13075140C2semidirect
17. #13075077C2semidirect
18. #13074428C2semidirect
19. #13074403C2semidirect
20. #13073112C2semidirect
21. #13072996C2semidirect
22. #13072896C2semidirect
23. #13072437C2semidirect
24. #13072276C2semidirect
25. #13072098C2semidirect
29. #13071229C2semidirect
30. D11×#388C2semidirect
31. C11×#2745C2semidirect
36. C2×#66951C22semidirect
39. C2×#66942C22semidirect
47. C11×#401C22semidirect
48. C11×#400C22semidirect
49. C11×#400C22semidirect
51. C11×#395C22semidirect
53. C11×#391C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
62. #10622844C22semidirect
63. #10622842C22semidirect
66. #10622607C22semidirect
69. #10622605C22semidirect
71. #10622603C22semidirect
79. #10622602C22semidirect
82. #10622599C22semidirect
83. #10622599C22semidirect
84. #10622596C22semidirect
85. #10622596C22semidirect
86. #10622593C22semidirect
87. #10622593C22semidirect
88. #10622586C22semidirect
89. #10622585C22semidirect
111. #10622553C22semidirect
112. #10622546C22semidirect
113. #10622546C22semidirect
114. #10622546C22semidirect
115. #10622290C22semidirect
120. #10622288C22semidirect
121. #10622288C22semidirect
122. #10622288C22semidirect
123. #10622288C22semidirect
129. #10622282C22semidirect
139. #10622281C22semidirect
145. #10622280C22semidirect
157. #10622277C22semidirect
160. #10622274C22semidirect
161. #10622273C22semidirect
162. #10622273C22semidirect
163. #10622273C22semidirect
164. #10622272C22semidirect
165. #10622272C22semidirect
166. #10622271C22semidirect
167. #10622271C22semidirect
168. #10622271C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622270C22semidirect
172. #10622270C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
532. #2745D11semidirect
702. #401C2×D11semidirect
713. #400C2×D11semidirect
714. #400C2×D11semidirect
743. #395C2×D11semidirect
750. #391C2×D11semidirect
783. #387C2×D11semidirect
784. #387C2×D11semidirect
785. #387C2×D11semidirect
1252. C11#36780semidirect

Maximal subgroups

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

subgroupindex
#130769342
#130769232
#130763352
#130762922
#130761252
#130761142
#130758132
#130757932
#130757722
#130757702
#130757492
#130756842
#130756772
#130755402
#130751512
#130751402
#130750772
#130744282
#130744032
#130731122
#130729962
#130728962
#130724372
#130722762
#130720982
#130720142
#130720052
#130712782
#130712292
D11×#3882
C11×#27452
#3678011