Finite Group Databasebeta

← #14960793

Subgroups — #14960793

Order 2816.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623223C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic, complemented
3#13076902C211yesmaximal, characteristic, complemented
4#13076899C211yesmaximal, characteristic, complemented
5#13075321C211yesmaximal, characteristic, complemented
6#13075319C211yesmaximal, characteristic, complemented
7#13075313C211yesmaximal, characteristic, complemented
8#13075292C211yesmaximal, characteristic, complemented
9#13075290C211yesmaximal, characteristic, complemented
10#13075288C211yesmaximal, characteristic, complemented
11#13075286C211yesmaximal, characteristic, complemented
12#13074982C211yesmaximal, characteristic, complemented
13#13074981C211yesmaximal, characteristic, complemented
14#13074978C211yesmaximal, characteristic, complemented
15#13074976C211yesmaximal, characteristic, complemented
16#13074973C211yesmaximal, characteristic, complemented
17#13074970C211yesmaximal, characteristic, complemented
18#13074966C211yesmaximal, characteristic, complemented
19#13074961C211yesmaximal, characteristic, complemented
20#13074426C211yesmaximal, characteristic, complemented
21#13074351C211yesmaximal, characteristic, complemented
22#13073967C211yesmaximal, characteristic, complemented
23#13073964C211yesmaximal, characteristic, complemented
24#13072000C211yesmaximal, characteristic, complemented
25#13072000C211yesmaximal, characteristic, complemented
26#13071996C211yesmaximal, characteristic, complemented
27#13071996C211yesmaximal, characteristic, complemented
28#13071970C211yesmaximal, characteristic, complemented
29#13071967C211yesmaximal, characteristic, complemented
30#13071231C211yesmaximal, characteristic, complemented
31C11×#2707C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C2×#66983C2211yescharacteristic, complemented
39C2×#66982C2211yescharacteristic
40#10623223—28no—
41D11×#123—28no—
42C2×#66951C2211yescharacteristic, complemented
43C2×#66950C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic, complemented
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66948C2211yescharacteristic, complemented
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66947C2211yescharacteristic
54C2×#66947C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic, complemented
56C2×#66946C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×C4⋊C4×D11C2211yescharacteristic
59C2×C4⋊C4×D11C2211yescharacteristic
60C2×#66942C2211yescharacteristic, complemented
61C2×#66939C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66935C2211yescharacteristic
67C2×#66935C2211yescharacteristic
68C2×#66935C2211yescharacteristic
69C2×#66935C2211yescharacteristic
70C2×C22⋊C4×D11C2211yescharacteristic
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic
73C2×#66931C2211yescharacteristic, complemented
74C2×#66929C2211yescharacteristic, complemented
75C2×C4×D44C2211yescharacteristic
76C2×#66925C2211yescharacteristic
77C11×#398C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#396C2211yescharacteristic, complemented
81C11×#396C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#389C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#388C2211yescharacteristic, complemented
87C11×#387C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic, complemented
89C11×#380C2211yescharacteristic, complemented
90#10622836C2211yescharacteristic
91#10622823C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622606C2211yescharacteristic, complemented
100#10622605C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic, complemented
103#10622604C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622601C2211yescharacteristic, complemented
112#10622601C2211yescharacteristic, complemented
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic
115#10622600C2211yescharacteristic, complemented
116#10622598C2211yescharacteristic, complemented
117#10622597C2211yescharacteristic, complemented
118#10622586C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622585C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622573C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic, complemented
133#10622571C2211yescharacteristic, complemented
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622570C2211yescharacteristic, complemented
139#10622570C2211yescharacteristic, complemented
140#10622568C2211yescharacteristic
141#10622568C2211yescharacteristic
142#10622568C2211yescharacteristic
143#10622568C2211yescharacteristic
144#10622562C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622560C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150#10622557C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic
153#10622552C2211yescharacteristic, complemented
154#10622552C2211yescharacteristic, complemented
155#10622546C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622289C2211yescharacteristic, complemented
160#10622286C2211yescharacteristic, complemented
161#10622285C2211yescharacteristic, complemented
162#10622285C2211yescharacteristic, complemented
163#10622285C2211yescharacteristic, complemented
164#10622285C2211yescharacteristic, complemented
165#10622284C2211yescharacteristic
166#10622284C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic
181#10622278C2211yescharacteristic, complemented
182#10622278C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622268C2211yescharacteristic, complemented
186#10622267C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—42no—
202C2×D4×D11—42no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×D44C2311yescharacteristic
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11—24no—
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×Dic22C2311yescharacteristic
224C11×#125—24no—
225C11×#123—24no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258#66991—42no—
259#66988—24no—
260#66983—42no—
261#66982—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66951—24no—
333#66950—24no—
334#66949—24no—
335#66949—24no—
336#66949—42no—
337#66948—24no—
338#66948—42no—
339#66948—42no—
340#66947—24no—
341#66947—24no—
342#66947—24no—
343#66947—24no—
344#66947—24no—
345#66947—24no—
346#66946—24no—
347#66945—42no—
348C4⋊C4×D11—24no—
349C4⋊C4×D11D418yescomplemented
350#66942—24no—
351#66939—24no—
352#66937—42no—
353#66937—42no—
354#66936—24no—
355#66936—24no—
356#66935—42no—
357#66935—42no—
358#66935—42no—
359#66935—42no—
360C22⋊C4×D11—24no—
361C22⋊C4×D11—24no—
362C22⋊C4×D11—24no—
363#66931—42no—
364#66929—24no—
365C4×D44—24no—
366#66925—42no—
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#36722—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
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—41no—
407C23×D11—41no—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—41no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—41no—
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
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
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—41no—
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464D4×D11—416no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—22no—
475C2×D44—22no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×D44—41no—
481C2×D44—41no—
482C2×D44—41no—
483C2×D44—41no—
484C2×D44—41no—
485C2×D44—41no—
486C2×D44—41no—
487C2×D44—41no—
488C2×D44—41no—
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—22no—
498C2×C4×D11—22no—
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—416no—
514C2×C4×D11C2×D414yes—
515C2×C4×D11C2×D414yes—
516C2×C4×D11C2×D414yes—
517C2×Dic22—22no—
518C2×Dic22—41no—
519C2×Dic22—41no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
524C11×C4⋊C4—22no—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C4⋊C4—41no—
529C11×C4⋊C4—41no—
530C11×C4⋊C4—41no—
531C11×C4⋊C4C2×D414yes—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C42×C11—22no—
544C42×C11—41no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
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—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
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)⋊C4—41no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592C4⋊Dic11—22no—
593C4⋊Dic11—22no—
594C4⋊Dic11—41no—
595C4⋊Dic11—41no—
596C4⋊Dic11—41no—
597C4⋊Dic11—41no—
598C4⋊Dic11—41no—
599C4⋊Dic11C2×D414yes—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—41no—
607Dic11⋊C4—41no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4C2×D414yes—
617Dic11⋊C4C2×D414yes—
618C4×Dic11—22no—
619C4×Dic11—41no—
620C4×Dic11—41no—
621C4×Dic11—41no—
622C2×#539—111no—
623C22×#123—111no—
624#2848—111no—
625#2847—111no—
626#2707—111no—
627#2707—111no—
628#2707—111no—
629#2707D1111yescharacteristic, complemented
630#2705—111no—
631#2705—111no—
632#2705—111no—
633#2705—111no—
634#2682—111no—
635#2682—111no—
636#2682—111no—
637#2682—111no—
638#2681—111no—
639#2681—111no—
640#2681—111no—
641#2681—111no—
642#2626—111no—
643#2617—111no—
644#2579—111no—
645#2579—111no—
646#2411—111no—
647#2411—111no—
648#2411—111no—
649#2411—111no—
650#2408—111no—
651#2408—111no—
652#2316—111no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11H(5,𝔽2)12yes—
667C23×C11C2511yescharacteristic
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—28no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11—82no—
713C22×D11C22×D412yes—
714C22×D11H(5,𝔽2)12yes—
715C22×D11H(5,𝔽2)12yes—
716C22×D112−1+412yes—
717D4×C11—44no—
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—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—44no—
755C2×C4×C11C22×D412yes—
756C2×C4×C11C22×D412yes—
757C2×C4×C11C22×D412yes—
758C22⋊D11—44no—
759C22⋊D11—44no—
760C22⋊D11—82no—
761C22⋊D11—82no—
762C22⋊D11—82no—
763C22⋊D11—82no—
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—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—44no—
795C2×Dic11C22×D412yes—
796C2×Dic11C22×D412yes—
797C2×Dic11C22×D412yes—
798D44—44no—
799D44—44no—
800D44—44no—
801D44—82no—
802D44—82no—
803D44—82no—
804D44—82no—
805D44—82no—
806C4×D11—28no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—82no—
814C4×D11—82no—
815Dic22—82no—
816C23×D4—111no—
817C24×C4—111no—
818#539—228no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#125—111no—
822C2×#125C2×D1111yescharacteristic, complemented
823C2×#123—111no—
824C2×#123—111no—
825C2×#123—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123—111no—
832C2×#123—111no—
833C2×#123—111no—
834C2×#123—228no—
835C2×#123C2×D1111yescharacteristic
836C2×C22⋊Q8—111no—
837C2×C22⋊Q8—111no—
838C2×C22⋊Q8—111no—
839C2×C22⋊Q8—111no—
840C2×C22⋊Q8—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121—111no—
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×#117—111no—
855C2×#117—111no—
856C22×C4⋊C4—111no—
857C22×C4⋊C4—111no—
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C22⋊C4—111no—
861#399—111no—
862#399—111no—
863#398—111no—
864#398—111no—
865#398—111no—
866#398C2×D1111yescharacteristic, complemented
867#397—111no—
868#397C2×D1111yescharacteristic, complemented
869#396—111no—
870#396—111no—
871#396—111no—
872#396—111no—
873#396—111no—
874#396—111no—
875#396—111no—
876#396—111no—
877#396—111no—
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396C2×D1111yescharacteristic, complemented
883#396C2×D1111yescharacteristic, complemented
884#396C2×D1111yescharacteristic, complemented
885#394—111no—
886#394—111no—
887#394—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394C2×D1111yescharacteristic
901#393—111no—
902#393—111no—
903#392—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#390—111no—
910#390—111no—
911#390—111no—
912#390—111no—
913#390—111no—
914#390—111no—
915#390—111no—
916#390—111no—
917#390—111no—
918#390—111no—
919#390—111no—
920#390C2×D1111yescharacteristic
921#389—111no—
922#389—111no—
923#389—111no—
924#389—111no—
925#389—111no—
926#389—111no—
927#389—111no—
928#389C2×D1111yescharacteristic, complemented
929#388—111no—
930#388—111no—
931#388—111no—
932#388—111no—
933#388—111no—
934#388—111no—
935#388C2×D1111yescharacteristic, complemented
936#388C2×D1111yescharacteristic, complemented
937#387—111no—
938#387—111no—
939#387—111no—
940#387C2×D1111yescharacteristic, complemented
941#386—111no—
942#386—111no—
943#386—111no—
944#386—111no—
945#386—111no—
946#386—111no—
947#386—111no—
948#386—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#385—111no—
959#385—111no—
960#385C2×D1111yescharacteristic, complemented
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380C2×D1111yescharacteristic, complemented
969#379—111no—
970#379—111no—
971#379—111no—
972#379—111no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11C23×D411yescharacteristic
988C22×C11C2×H(5,𝔽2)11yescharacteristic
989C22×C11C2×H(5,𝔽2)11yescharacteristic
990C22×C11C2×H(5,𝔽2)11yescharacteristic
991C22×C11C2×2−1+411yescharacteristic
992C22×C11#58511yescharacteristic
993C22×C11#58511yescharacteristic
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—416no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11—41no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—88no—
1030C2×D11#53714yes—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C25—111no—
1056C25—111no—
1057C22×Q8—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—224no—
1073C22×D4—442no—
1074C22×D4—442no—
1075C22×D4C22×D1111yescharacteristic
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—224no—
1087C23×C4—442no—
1088C23×C4—442no—
1089C23×C4C22×D1111yescharacteristic
1090#126—224no—
1091#126—224no—
1092#125—24no—
1093#125—224no—
1094#123—24no—
1095#123—224no—
1096#123—224no—
1097#123—224no—
1098#123—224no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103#123—224no—
1104#123—224no—
1105#123—224no—
1106C22⋊Q8—224no—
1107C22⋊Q8—224no—
1108C22⋊Q8—224no—
1109C22⋊Q8—442no—
1110C22⋊Q8—442no—
1111#121—224no—
1112#121—442no—
1113#121—442no—
1114#121—442no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#120—442no—
1119#120—442no—
1120#120—442no—
1121#120—442no—
1122C4×D4—224no—
1123C4×D4—224no—
1124#117—442no—
1125#117—442no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—118no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—224no—
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C4⋊C4C22×D1111yescharacteristic
1156C2×C4⋊C4C22×D1111yescharacteristic
1157C2×C4⋊C4C22×D1111yescharacteristic
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—224no—
1214C2×C22⋊C4—224no—
1215C2×C22⋊C4—224no—
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C22⋊C4C22×D1111yescharacteristic
1221C2×C22⋊C4C22×D1111yescharacteristic
1222C2×C22⋊C4C22×D1111yescharacteristic
1223C2×C22⋊C4C22×D1111yescharacteristic
1224C2×C22⋊C4C22×D1111yescharacteristic
1225C2×C22⋊C4C22×D1111yescharacteristic
1226C2×C22⋊C4C22×D1111yescharacteristic
1227C2×C42—111no—
1228C2×C42—111no—
1229C2×C42—111no—
1230C2×C42—111no—
1231C2×C42C22×D1111yescharacteristic
1232C2×C42C22×D1111yescharacteristic
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255#95C22×D1111yescharacteristic
1256#95C22×D1111yescharacteristic
1257C2×C11—42no—
1258C2×C11—81no—
1259C2×C11C2×#53711yescharacteristic
1260C2×C11#348411yescharacteristic
1261C2×C11#348711yescharacteristic
1262C2×C11#353411yescharacteristic
1263C2×C11#353411yescharacteristic
1264C2×C11#353511yescharacteristic
1265C2×C11#353511yescharacteristic
1266D11—24no—
1267D11—42no—
1268D11—81no—
1269D11—81no—
1270D11—81no—
1271C24—111no—
1272C24—111no—
1273C24—111no—
1274C24—111no—
1275C24—111no—
1276C24—222no—
1277C24—222no—
1278C24—222no—
1279C24—222no—
1280C24—222no—
1281C24—222no—
1282C24—222no—
1283C24—222no—
1284C24—441no—
1285C24—441no—
1286C24—441no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24C23×D1111yescharacteristic
1291C24C23×D1111yescharacteristic
1292C2×Q8—222no—
1293C2×Q8—441no—
1294C2×Q8—441no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—41no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—222no—
1301C2×D4—222no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—441no—
1316C2×D4—441no—
1317C2×D4—441no—
1318C2×D4—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—4416no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—41no—
1344C22×C4—111no—
1345C22×C4—111no—
1346C22×C4—111no—
1347C22×C4—114no—
1348C22×C4—114no—
1349C22×C4—114no—
1350C22×C4—111no—
1351C22×C4—111no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—222no—
1363C22×C4—222no—
1364C22×C4—222no—
1365C22×C4—222no—
1366C22×C4—222no—
1367C22×C4—222no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—441no—
1371C22×C4—441no—
1372C22×C4—441no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—4416no—
1385C22×C4—441no—
1386C22×C4C23×D1111yescharacteristic
1387C22×C4C23×D1111yescharacteristic
1388C22×C4C23×D1111yescharacteristic
1389C22×C4C23×D1111yescharacteristic
1390C22×C4C23×D1111yescharacteristic
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—114no—
1411C4⋊C4—114no—
1412C4⋊C4—114no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4D4×D1114yes—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C42—22no—
1496C42—41no—
1497C42—222no—
1498C42—441no—
1499C42—441no—
1500C42—441no—
1501C11#3672211yescharacteristic, complemented, Sylow
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—112no—
1516C23—112no—
1517C23—112no—
1518C23—112no—
1519C23—228no—
1520C23—221no—
1521C23—221no—
1522C23—221no—
1523C23—221no—
1524C23—221no—
1525C23—221no—
1526C23—221no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23—444no—
1555C23—444no—
1556C23—444no—
1557C23—444no—
1558C23—444no—
1559C23—444no—
1560C23—882no—
1561C23—882no—
1562C23—882no—
1563C23—882no—
1564C23#6704212yes—
1565C23C24×D1111yescharacteristic
1566Q8—882no—
1567D4—44no—
1568D4—444no—
1569D4—444no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576D4—882no—
1577D4—882no—
1578D4—882no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—44no—
1619C2×C4—112no—
1620C2×C4—112no—
1621C2×C4—112no—
1622C2×C4—228no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—444no—
1657C2×C4—444no—
1658C2×C4—444no—
1659C2×C4—444no—
1660C2×C4—882no—
1661C2×C4—882no—
1662C2×C4C2×D4×D1112yes—
1663C2×C4C2×D4×D1112yes—
1664C2×C4C2×D4×D1112yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—114no—
1680C22—222no—
1681C22—222no—
1682C22—222no—
1683C22—222no—
1684C22—222no—
1685C22—222no—
1686C22—222no—
1687C22—222no—
1688C22—222no—
1689C22—4416no—
1690C22—441no—
1691C22—441no—
1692C22—441no—
1693C22—441no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—888no—
1716C22C22×D4×D1111yescharacteristic
1717C22C2×#6704211yescharacteristic
1718C22#1062345311yescharacteristic
1719C22D11×H(5,𝔽2)11yescharacteristic
1720C22D11×H(5,𝔽2)11yescharacteristic
1721C22D11×2−1+411yescharacteristic
1722C22#1062345711yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—222no—
1737C4—222no—
1738C4—222no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C2—42no—
1748C2—81no—
1749C2—224no—
1750C2—442no—
1751C2—881no—
1752C2—881no—
1753C2—881no—
1754C2D11×#53711yescharacteristic
1755C2#1308224611yescharacteristic
1756C2#1308227311yescharacteristic
1757C2#1308279911yescharacteristic
1758C2#1308280411yescharacteristic
1759C2#1308282711yescharacteristic
1760C2#1308282811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2707C2
hypercenter#2707D11
hypocenterC11#36722
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. C2×#10623223C2semidirect
2. C2×D11×#123C2semidirect
3. #13076902C2semidirect
4. #13076899C2semidirect
5. #13075321C2semidirect
6. #13075319C2semidirect
7. #13075313C2semidirect
8. #13075292C2semidirect
9. #13075290C2semidirect
10. #13075288C2semidirect
11. #13075286C2semidirect
12. #13074982C2semidirect
13. #13074981C2semidirect
14. #13074978C2semidirect
15. #13074976C2semidirect
16. #13074973C2semidirect
17. #13074970C2semidirect
18. #13074966C2semidirect
19. #13074961C2semidirect
20. #13074426C2semidirect
21. #13074351C2semidirect
22. #13073967C2semidirect
23. #13073964C2semidirect
24. #13072000C2semidirect
25. #13072000C2semidirect
26. #13071996C2semidirect
27. #13071996C2semidirect
28. #13071970C2semidirect
29. #13071967C2semidirect
30. #13071231C2semidirect
31. C11×#2707C2semidirect
34. C2×C11×#125C22semidirect
38. C2×#66983C22semidirect
42. C2×#66951C22semidirect
43. C2×#66950C22semidirect
45. C2×#66949C22semidirect
46. C2×#66949C22semidirect
49. C2×#66948C22semidirect
54. C2×#66947C22semidirect
55. C2×#66947C22semidirect
60. C2×#66942C22semidirect
73. C2×#66931C22semidirect
74. C2×#66929C22semidirect
77. C11×#398C22semidirect
78. C11×#397C22semidirect
79. C11×#396C22semidirect
80. C11×#396C22semidirect
81. C11×#396C22semidirect
84. C11×#389C22semidirect
85. C11×#388C22semidirect
86. C11×#388C22semidirect
87. C11×#387C22semidirect
88. C11×#385C22semidirect
89. C11×#380C22semidirect
91. #10622823C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
99. #10622606C22semidirect
100. #10622605C22semidirect
102. #10622604C22semidirect
103. #10622604C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
108. #10622602C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
111. #10622601C22semidirect
112. #10622601C22semidirect
115. #10622600C22semidirect
116. #10622598C22semidirect
117. #10622597C22semidirect
118. #10622586C22semidirect
119. #10622585C22semidirect
120. #10622585C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
127. #10622573C22semidirect
128. #10622572C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622571C22semidirect
133. #10622571C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622570C22semidirect
139. #10622570C22semidirect
144. #10622562C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622560C22semidirect
149. #10622557C22semidirect
150. #10622557C22semidirect
151. #10622555C22semidirect
153. #10622552C22semidirect
154. #10622552C22semidirect
155. #10622546C22semidirect
156. #10622541C22semidirect
157. #10622289C22semidirect
158. #10622289C22semidirect
159. #10622289C22semidirect
160. #10622286C22semidirect
161. #10622285C22semidirect
162. #10622285C22semidirect
163. #10622285C22semidirect
164. #10622285C22semidirect
166. #10622284C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
171. #10622281C22semidirect
172. #10622281C22semidirect
173. #10622281C22semidirect
176. #10622280C22semidirect
181. #10622278C22semidirect
182. #10622278C22semidirect
183. #10622274C22semidirect
184. #10622270C22semidirect
185. #10622268C22semidirect
186. #10622267C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
349. C4⋊C4×D11D4semidirect
629. #2707D11semidirect
822. C2×#125C2×D11semidirect
866. #398C2×D11semidirect
868. #397C2×D11semidirect
882. #396C2×D11semidirect
883. #396C2×D11semidirect
884. #396C2×D11semidirect
928. #389C2×D11semidirect
935. #388C2×D11semidirect
936. #388C2×D11semidirect
940. #387C2×D11semidirect
960. #385C2×D11semidirect
968. #380C2×D11semidirect
1501. C11#36722semidirect

Maximal subgroups

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

subgroupindex
C2×#106232232
C2×D11×#1232
#130769022
#130768992
#130753212
#130753192
#130753132
#130752922
#130752902
#130752882
#130752862
#130749822
#130749812
#130749782
#130749762
#130749732
#130749702
#130749662
#130749612
#130744262
#130743512
#130739672
#130739642
#130720002
#130719962
#130719702
#130719672
#130712312
C11×#27072
#3672211