Finite Group Databasebeta

← #14926471

Subgroups — #14926471

Order 2816.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623223C211yesmaximal, characteristic, complemented
2C22×C4×D44C211yesmaximal, characteristic, complemented
3#13076931C211yesmaximal, characteristic, complemented
4#13076911C211yesmaximal, characteristic, complemented
5#13076902C211yesmaximal, characteristic, complemented
6#13074540C211yesmaximal, characteristic, complemented
7#13074515C211yesmaximal, characteristic, complemented
8#13074485C211yesmaximal, characteristic, complemented
9#13074465C211yesmaximal, characteristic, complemented
10#13072867C211yesmaximal, characteristic, complemented
11#13072754C211yesmaximal, characteristic, complemented
12#13072657C211yesmaximal, characteristic, complemented
13#13072611C211yesmaximal, characteristic, complemented
14#13072565C211yesmaximal, characteristic, complemented
15#13072500C211yesmaximal, characteristic, complemented
16#13072432C211yesmaximal, characteristic, complemented
17#13072423C211yesmaximal, characteristic, complemented
18#13072356C211yesmaximal, characteristic, complemented
19#13072284C211yesmaximal, characteristic, complemented
20#13072174C211yesmaximal, characteristic, complemented
21#13072098C211yesmaximal, characteristic, complemented
22#13072084C211yesmaximal, characteristic, complemented
23#13072009C211yesmaximal, characteristic, complemented
24#13071988C211yesmaximal, characteristic
25#13071945C211yesmaximal, characteristic, complemented
26#13071315C211yesmaximal, characteristic, complemented
27#13071289C211yesmaximal, characteristic, complemented
28#13071252C211yesmaximal, characteristic, complemented
29#13071117C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2851C211yesmaximal, characteristic, complemented
32C23×D44C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic, complemented
36C22×C42×C11C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40#10623223—28no—
41C2×#66951C2211yescharacteristic, complemented
42C2×#66950C2211yescharacteristic, complemented
43C2×#66949C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic, complemented
46C2×#66948C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66947C2211yescharacteristic
49C2×#66947C2211yescharacteristic
50C2×#66947C2211yescharacteristic, complemented
51C2×#66947C2211yescharacteristic, complemented
52C2×#66947C2211yescharacteristic, complemented
53C2×#66947C2211yescharacteristic, complemented
54C2×#66946C2211yescharacteristic, complemented
55C2×#66946C2211yescharacteristic, complemented
56C2×C4⋊C4×D11C2211yescharacteristic, complemented
57C2×C4⋊C4×D11C2211yescharacteristic, complemented
58C2×#66942C2211yescharacteristic, complemented
59C2×#66935C2211yescharacteristic
60C2×#66935C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×#66931C2211yescharacteristic
65C2×#66929C2211yescharacteristic, complemented
66C2×C4×D44—28no—
67C2×C4×D44C2211yescharacteristic
68C2×C4×D44C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic
71C2×C4×D44C2211yescharacteristic
72C2×C4×D44C2211yescharacteristic
73C2×C4×D44C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C11×#389C2211yescharacteristic, complemented
76C11×#389C2211yescharacteristic, complemented
77C11×#387C2211yescharacteristic, complemented
78C11×#387C2211yescharacteristic, complemented
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic
82C11×#385C2211yescharacteristic
83C11×#385C2211yescharacteristic
84C11×#385C2211yescharacteristic
85C11×#382C2211yescharacteristic, complemented
86C11×#380C2211yescharacteristic
87C11×#380C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622823C2211yescharacteristic
92#10622823C2211yescharacteristic
93#10622823C2211yescharacteristic
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622606C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622605C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622604C2211yescharacteristic
105#10622604C2211yescharacteristic, complemented
106#10622604C2211yescharacteristic, complemented
107#10622603C2211yescharacteristic, complemented
108#10622603C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622602C2211yescharacteristic, complemented
112#10622602C2211yescharacteristic, complemented
113#10622602C2211yescharacteristic, complemented
114#10622602C2211yescharacteristic, complemented
115#10622602C2211yescharacteristic, complemented
116#10622602C2211yescharacteristic, complemented
117#10622602C2211yescharacteristic, complemented
118#10622602C2211yescharacteristic, complemented
119#10622598C2211yescharacteristic, complemented
120#10622597C2211yescharacteristic, complemented
121#10622596C2211yescharacteristic, complemented
122#10622596C2211yescharacteristic, complemented
123#10622594C2211yescharacteristic, complemented
124#10622571C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622555C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134#10622553C2211yescharacteristic, complemented
135#10622553C2211yescharacteristic, complemented
136#10622553C2211yescharacteristic, complemented
137#10622550C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622290C2211yescharacteristic, complemented
142#10622289C2211yescharacteristic, complemented
143#10622288C2211yescharacteristic, complemented
144#10622288C2211yescharacteristic, complemented
145#10622288C2211yescharacteristic, complemented
146#10622287C2211yescharacteristic, complemented
147#10622286C2211yescharacteristic, complemented
148#10622285C2211yescharacteristic
149#10622285C2211yescharacteristic
150#10622285C2211yescharacteristic, complemented
151#10622285C2211yescharacteristic, complemented
152#10622284C2211yescharacteristic
153#10622284C2211yescharacteristic
154#10622283C2211yescharacteristic, complemented
155#10622282C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182D11×#95C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622266C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C22×D44—24no—
198C22×D44—24no—
199C22×D44—24no—
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11—42no—
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C11×#125—24no—
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11—24no—
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×(C2×D11)⋊C4—24no—
254C2×(C2×D11)⋊C4—24no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×C4⋊Dic11—24no—
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951—24no—
323#66950—24no—
324#66949—24no—
325#66949—24no—
326#66949—42no—
327#66948—24no—
328#66948—24no—
329#66947—24no—
330#66947—24no—
331#66947—24no—
332#66947—24no—
333#66947—24no—
334#66947—42no—
335#66946—24no—
336#66946—42no—
337C4⋊C4×D11—24no—
338C4⋊C4×D11—42no—
339#66942—24no—
340#66935—24no—
341#66935—42no—
342(C22⋊D11)⋊C4—42no—
343C22⋊C4×D11—24no—
344C22⋊C4×D11—42no—
345#66931—42no—
346#66929—24no—
347C4×D44—24no—
348C4×D44—24no—
349C4×D44—24no—
350C4×D44—24no—
351C4×D44—24no—
352C4×D44—24no—
353C4×D44—24no—
354C4×D44D418yescomplemented
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34991—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11#4114yes—
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—41no—
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C2×D44—232no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44C2×D414yes—
479C2×D44#4114yes—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—416no—
518C2×C4×D11—416no—
519C2×C4×D11C2×D414yes—
520C2×C4×D11C2×D414yes—
521C2×Dic22—22no—
522C2×Dic22—41no—
523C2×Dic22—41no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C4⋊C4—22no—
532C11×C4⋊C4—22no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—41no—
535C11×C4⋊C4—41no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C42×C11—22no—
541C42×C11—22no—
542C42×C11—22no—
543C42×C11C2×D414yes—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4C2×D414yes—
587(C2×D11)⋊C4C2×D414yes—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—22no—
591C4⋊Dic11—22no—
592C4⋊Dic11—41no—
593C4⋊Dic11—41no—
594C4⋊Dic11C2×D414yes—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606Dic11⋊C4—41no—
607Dic11⋊C4—41no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C2×#539—111no—
614C22×C4×D4—111no—
615#2852—111no—
616#2851D1111yescharacteristic, complemented
617#2849—111no—
618#2848—111no—
619#2638—111no—
620#2636—111no—
621#2633—111no—
622#2630—111no—
623#2480—111no—
624#2473—111no—
625#2466—111no—
626#2463—111no—
627#2460—111no—
628#2455—111no—
629#2449—111no—
630#2449—111no—
631#2443—111no—
632#2437—111no—
633#2425—111no—
634#2419—111no—
635#2418—111no—
636#2412—111no—
637#2410—111no—
638#2405—111no—
639#2325—111no—
640#2322—111no—
641#2318—111no—
642C4×#120—111no—
643C2×#385—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11C2×#4112yes—
649C23×C11H(5,𝔽2)12yes—
650C23×C112−1+412yes—
651C23×C11C2511yescharacteristic
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—28no—
657C22×D11—28no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—28no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11C22×D412yes—
696C22×D11C22×D412yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
701C2×C4×C11—28no—
702C2×C4×C11—28no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—44no—
741C2×C4×C11C22×D412yes—
742C2×C4×C11C22×D412yes—
743C2×C4×C11C22×D412yes—
744C2×C4×C11C2×#4112yes—
745C2×C4×C11H(5,𝔽2)12yes—
746C22⋊D11—44no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—44no—
779C2×Dic11—44no—
780C2×Dic11C22×D412yes—
781C2×Dic11C22×D412yes—
782D44—28no—
783D44—28no—
784D44—28no—
785D44—28no—
786D44—44no—
787D44—44no—
788D44—82no—
789D44—82no—
790C4×D11—44no—
791C4×D11—44no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—82no—
801C4×D11—82no—
802C4×D11—82no—
803Dic22—82no—
804C23×D4—111no—
805C24×C4—111no—
806C24×C4—111no—
807#539—228no—
808C2×#126—111no—
809C2×#126—111no—
810C2×#125—111no—
811C2×#125C2×D1111yescharacteristic, complemented
812C2×#123—111no—
813C2×#123—111no—
814C2×#123—111no—
815C2×#123—111no—
816C2×#123—111no—
817C2×#123—111no—
818C2×C22⋊Q8—111no—
819C2×C22⋊Q8—111no—
820C2×C22⋊Q8—111no—
821C2×C22⋊Q8—111no—
822C2×C22⋊Q8—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#120—111no—
826C2×#120—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—228no—
839C22×C4⋊C4—111no—
840C22×C4⋊C4—111no—
841C22×C4⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C22⋊C4—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C42C2×D1111yescharacteristic
847#400—111no—
848#399—111no—
849#399—111no—
850#399—111no—
851#398—111no—
852#398—111no—
853#398—111no—
854#398—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397—111no—
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#395—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#394—111no—
876#393—111no—
877#392—111no—
878#392—111no—
879#389—111no—
880#389—111no—
881#389C2×D1111yescharacteristic, complemented
882#389C2×D1111yescharacteristic, complemented
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387C2×D1111yescharacteristic, complemented
898#387C2×D1111yescharacteristic, complemented
899#387C2×D1111yescharacteristic, complemented
900#387C2×D1111yescharacteristic, complemented
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#385—111no—
930#385—111no—
931#385—111no—
932#385—111no—
933#385—111no—
934#385—111no—
935#385—111no—
936#385—111no—
937#385C2×D1111yescharacteristic
938#385C2×D1111yescharacteristic
939#385C2×D1111yescharacteristic
940#385C2×D1111yescharacteristic
941#383—111no—
942#382C2×D1111yescharacteristic, complemented
943#381—111no—
944#381—111no—
945#381—111no—
946#380—111no—
947#380—111no—
948#380—111no—
949#380—111no—
950#380C2×D1111yescharacteristic
951#380C2×D1111yescharacteristic
952#379—111no—
953#379—111no—
954#379—111no—
955#379—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C2×#95—111no—
960C2×#95—111no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11#53914yescomplemented
968C22×C11C23×D411yescharacteristic
969C22×C11C22×#4111yescharacteristic
970C22×C11C22×#4111yescharacteristic
971C22×C11C2×H(5,𝔽2)11yescharacteristic
972C22×C11C2×H(5,𝔽2)11yescharacteristic
973C22×C11C2×2−1+411yescharacteristic
974C22×C11#58511yescharacteristic
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—416no—
991C2×D11—416no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11#52514yes—
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—22no—
1015C4×C11—22no—
1016C4×C11—22no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11—41no—
1024C4×C11—41no—
1025C4×C11—41no—
1026Dic11—22no—
1027Dic11—22no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11—41no—
1035Dic11—41no—
1036Dic11—41no—
1037C25—111no—
1038C25—111no—
1039C22×Q8—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4—111no—
1047C22×D4—111no—
1048C22×D4—111no—
1049C22×D4—224no—
1050C22×D4—224no—
1051C22×D4—224no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—111no—
1066C23×C4—111no—
1067C23×C4—224no—
1068C23×C4—224no—
1069C23×C4—442no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4—442no—
1073C23×C4C22×D1111yescharacteristic
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—224no—
1077#126—224no—
1078#125—24no—
1079#125—224no—
1080#123—224no—
1081#123—224no—
1082#123—224no—
1083#123—224no—
1084#123—224no—
1085#123—442no—
1086C22⋊Q8—224no—
1087C22⋊Q8—224no—
1088C22⋊Q8—224no—
1089C22⋊Q8—442no—
1090C22⋊Q8—442no—
1091#121—224no—
1092#121—224no—
1093#120—224no—
1094#120—442no—
1095C4×D4—118no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—224no—
1101C4×D4—224no—
1102C4×D4—224no—
1103C4×D4—224no—
1104C4×D4—442no—
1105C4×D4—442no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—224no—
1129C2×C4⋊C4—224no—
1130C2×C4⋊C4—442no—
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
1134C2×C4⋊C4C22×D1111yescharacteristic
1135C2×C4⋊C4C22×D1111yescharacteristic
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C4⋊C4C22×D1111yescharacteristic
1140C2×C4⋊C4C22×D1111yescharacteristic
1141C2×C4⋊C4C22×D1111yescharacteristic
1142C2×C4⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—224no—
1188C2×C22⋊C4—224no—
1189C2×C22⋊C4—224no—
1190C2×C22⋊C4—442no—
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C42—24no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42C22×D1111yescharacteristic
1200C2×C42C22×D1111yescharacteristic
1201C2×C42C22×D1111yescharacteristic
1202C2×C42C22×D1111yescharacteristic
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237#95C22×D1111yescharacteristic
1238#95C22×D1111yescharacteristic
1239C2×C11—24no—
1240C2×C11C2×#52511yescharacteristic
1241C2×C11C2×#53911yescharacteristic
1242C2×C11#345911yescharacteristic
1243C2×C11#348411yescharacteristic
1244C2×C11#348911yescharacteristic
1245C2×C11#351311yescharacteristic
1246C2×C11#352011yescharacteristic
1247D11—24no—
1248D11—42no—
1249D11—42no—
1250D11—42no—
1251D11—81no—
1252C24—111no—
1253C24—111no—
1254C24—111no—
1255C24—111no—
1256C24—114no—
1257C24—111no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—222no—
1267C24—441no—
1268C24—441no—
1269C24—441no—
1270C24—441no—
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—441no—
1274C2×Q8—441no—
1275C2×D4—114no—
1276C2×D4—114no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—2232no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—114no—
1315C22×C4—114no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—4416no—
1367C22×C4—4416no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C22×C4C23×D1111yescharacteristic
1382C22×C4C23×D1111yescharacteristic
1383C22×C4C23×D1111yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—114no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—222no—
1401C4⋊C4—222no—
1402C4⋊C4—222no—
1403C4⋊C4—222no—
1404C4⋊C4—222no—
1405C4⋊C4—222no—
1406C4⋊C4—222no—
1407C4⋊C4—222no—
1408C4⋊C4—222no—
1409C4⋊C4—441no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—114no—
1423C22⋊C4—114no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C22⋊C4—441no—
1455C22⋊C4—441no—
1456C22⋊C4—441no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—222no—
1470C42—441no—
1471C42—441no—
1472C42D4×D1114yes—
1473C11#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—112no—
1479C23—112no—
1480C23—112no—
1481C23—112no—
1482C23—112no—
1483C23—112no—
1484C23—228no—
1485C23—228no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—228no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—444no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23—444no—
1526C23—444no—
1527C23#6704012yes—
1528C23#41×D1112yes—
1529C23#6704212yes—
1530C23C24×D1111yescharacteristic
1531Q8—882no—
1532D4—228no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—882no—
1540D4—882no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—44no—
1581C2×C4—112no—
1582C2×C4—112no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4—444no—
1626C2×C4—882no—
1627C2×C4—882no—
1628C2×C4—882no—
1629C2×C4C2×D4×D1112yes—
1630C2×C4C2×D4×D1112yes—
1631C2×C4C2×D4×D1112yes—
1632C2×C4#41×D1112yes—
1633C2×C4#6704212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—114no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—4416no—
1657C22—4416no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22#1062322314yescomplemented
1678C22C22×D4×D1111yescharacteristic
1679C22C2×#6704011yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#41×D1111yescharacteristic
1682C22C2×#6704211yescharacteristic
1683C22C2×#6704211yescharacteristic
1684C22#1062345311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—222no—
1700C4—222no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—24no—
1711C2—224no—
1712C2—442no—
1713C2—442no—
1714C2—442no—
1715C2—881no—
1716C2D11×#52511yescharacteristic
1717C2C2×#1062322311yescharacteristic
1718C2#1308202611yescharacteristic
1719C2#1308224911yescharacteristic
1720C2#1308229211yescharacteristic
1721C2#1308256011yescharacteristic
1722C2#1308266011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2851C2
prime radical#13071988C2
hypercenter#2851D11
hypocenterC11#34991
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#10623223C2semidirect
2. C22×C4×D44C2semidirect
3. #13076931C2semidirect
4. #13076911C2semidirect
5. #13076902C2semidirect
6. #13074540C2semidirect
7. #13074515C2semidirect
8. #13074485C2semidirect
9. #13074465C2semidirect
10. #13072867C2semidirect
11. #13072754C2semidirect
12. #13072657C2semidirect
13. #13072611C2semidirect
14. #13072565C2semidirect
15. #13072500C2semidirect
16. #13072432C2semidirect
17. #13072423C2semidirect
18. #13072356C2semidirect
19. #13072284C2semidirect
20. #13072174C2semidirect
21. #13072098C2semidirect
22. #13072084C2semidirect
23. #13072009C2semidirect
25. #13071945C2semidirect
26. #13071315C2semidirect
27. #13071289C2semidirect
28. #13071252C2semidirect
29. #13071117C2semidirect
30. D11×#385C2semidirect
31. C11×#2851C2semidirect
35. C2×C11×#125C22semidirect
41. C2×#66951C22semidirect
42. C2×#66950C22semidirect
43. C2×#66949C22semidirect
44. C2×#66949C22semidirect
45. C2×#66949C22semidirect
50. C2×#66947C22semidirect
51. C2×#66947C22semidirect
52. C2×#66947C22semidirect
53. C2×#66947C22semidirect
54. C2×#66946C22semidirect
55. C2×#66946C22semidirect
56. C2×C4⋊C4×D11C22semidirect
57. C2×C4⋊C4×D11C22semidirect
58. C2×#66942C22semidirect
65. C2×#66929C22semidirect
75. C11×#389C22semidirect
76. C11×#389C22semidirect
77. C11×#387C22semidirect
78. C11×#387C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
85. C11×#382C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
98. #10622606C22semidirect
99. #10622605C22semidirect
100. #10622605C22semidirect
105. #10622604C22semidirect
106. #10622604C22semidirect
107. #10622603C22semidirect
108. #10622603C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
111. #10622602C22semidirect
112. #10622602C22semidirect
113. #10622602C22semidirect
114. #10622602C22semidirect
115. #10622602C22semidirect
116. #10622602C22semidirect
117. #10622602C22semidirect
118. #10622602C22semidirect
119. #10622598C22semidirect
120. #10622597C22semidirect
121. #10622596C22semidirect
122. #10622596C22semidirect
123. #10622594C22semidirect
134. #10622553C22semidirect
135. #10622553C22semidirect
136. #10622553C22semidirect
137. #10622550C22semidirect
138. #10622546C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622290C22semidirect
142. #10622289C22semidirect
143. #10622288C22semidirect
144. #10622288C22semidirect
145. #10622288C22semidirect
146. #10622287C22semidirect
147. #10622286C22semidirect
150. #10622285C22semidirect
151. #10622285C22semidirect
154. #10622283C22semidirect
155. #10622282C22semidirect
156. #10622282C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622280C22semidirect
164. #10622280C22semidirect
165. #10622280C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622277C22semidirect
179. #10622277C22semidirect
180. #10622277C22semidirect
181. D11×#95C22semidirect
182. D11×#95C22semidirect
183. #10622272C22semidirect
184. #10622270C22semidirect
185. #10622269C22semidirect
186. #10622266C22semidirect
187. #10622266C22semidirect
188. #10622260C22semidirect
354. C4×D44D4semidirect
616. #2851D11semidirect
811. C2×#125C2×D11semidirect
881. #389C2×D11semidirect
882. #389C2×D11semidirect
897. #387C2×D11semidirect
898. #387C2×D11semidirect
899. #387C2×D11semidirect
900. #387C2×D11semidirect
942. #382C2×D11semidirect
967. C22×C11#539semidirect
1473. C11#34991semidirect
1677. C22#10623223semidirect

Maximal subgroups

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

subgroupindex
C2×#106232232
C22×C4×D442
#130769312
#130769112
#130769022
#130745402
#130745152
#130744852
#130744652
#130728672
#130727542
#130726572
#130726112
#130725652
#130725002
#130724322
#130724232
#130723562
#130722842
#130721742
#130720982
#130720842
#130720092
#130719882
#130719452
#130713152
#130712892
#130712522
#130711172
D11×#3852
C11×#28512
#3499111