Finite Group Databasebeta

← #14960769

Subgroups — #14960769

Order 2816.

2450 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic
3#13076902C211yesmaximal, characteristic, complemented
4#13076900C211yesmaximal, characteristic, complemented
5#13075044C211yesmaximal, characteristic, complemented
6#13075043C211yesmaximal, characteristic, complemented
7#13075040C211yesmaximal, characteristic, complemented
8#13075039C211yesmaximal, characteristic, complemented
9#13075035C211yesmaximal, characteristic, complemented
10#13075034C211yesmaximal, characteristic, complemented
11#13075031C211yesmaximal, characteristic, complemented
12#13075030C211yesmaximal, characteristic, complemented
13#13074960C211yesmaximal, characteristic, complemented
14#13074958C211yesmaximal, characteristic, complemented
15#13074956C211yesmaximal, characteristic, complemented
16#13074955C211yesmaximal, characteristic, complemented
17#13074955C211yesmaximal, characteristic, complemented
18#13074953C211yesmaximal, characteristic, complemented
19#13074952C211yesmaximal, characteristic, complemented
20#13074434C211yesmaximal, characteristic, complemented
21#13074428C211yesmaximal, characteristic, complemented
22#13073772C211yesmaximal, characteristic, complemented
23#13073768C211yesmaximal, characteristic, complemented
24#13073091C211yesmaximal, characteristic, complemented
25#13073089C211yesmaximal, characteristic, complemented
26#13072896C211yesmaximal, characteristic, complemented
27#13072893C211yesmaximal, characteristic, complemented
28#13071940C211yesmaximal, characteristic
29#13071938C211yesmaximal, characteristic
30#13071210C211yesmaximal, characteristic, complemented
31C11×#2680C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic, complemented
40C2×#66999C2211yescharacteristic, complemented
41C2×#66988C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×#66982C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C2×#66977C2211yescharacteristic, complemented
46D11×#123—28no—
47#10623165—28no—
48C2×#66950C2211yescharacteristic
49C2×#66950C2211yescharacteristic, complemented
50C2×#66949C2211yescharacteristic
51C2×#66949C2211yescharacteristic
52C2×#66949C2211yescharacteristic, complemented
53C2×#66949C2211yescharacteristic, complemented
54C2×#66949C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic
56C2×#66947C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×C4⋊C4×D11C2211yescharacteristic
59C2×C4⋊C4×D11C2211yescharacteristic
60C2×#66939C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×#66931C2211yescharacteristic, complemented
69C2×#66931C2211yescharacteristic, complemented
70C2×#66931C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#398C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#388C2211yescharacteristic, complemented
78C11×#388C2211yescharacteristic, complemented
79C11×#385C2211yescharacteristic, complemented
80C11×#385C2211yescharacteristic, complemented
81C11×#384C2211yescharacteristic, complemented
82#10622842C2211yescharacteristic, complemented
83#10622835C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622825C2211yescharacteristic, complemented
86#10622823C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88#10622606C2211yescharacteristic, complemented
89#10622606C2211yescharacteristic, complemented
90#10622606C2211yescharacteristic, complemented
91#10622604C2211yescharacteristic
92#10622604C2211yescharacteristic
93#10622603C2211yescharacteristic, complemented
94#10622603C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic, complemented
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic, complemented
107#10622599C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622597C2211yescharacteristic, complemented
114#10622596C2211yescharacteristic, complemented
115#10622596C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622593C2211yescharacteristic, complemented
118#10622593C2211yescharacteristic, complemented
119#10622592C2211yescharacteristic, complemented
120#10622589C2211yescharacteristic, complemented
121#10622589C2211yescharacteristic, complemented
122#10622589C2211yescharacteristic, complemented
123#10622587C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622566C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622565C2211yescharacteristic, complemented
140#10622564C2211yescharacteristic, complemented
141#10622564C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622558C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150#10622556C2211yescharacteristic, complemented
151#10622556C2211yescharacteristic, complemented
152#10622555C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic
156#10622542C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622286C2211yescharacteristic, complemented
161#10622286C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622283C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic
171#10622280C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622277C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622272C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C2×D4×D11—24no—
200C2×D4×D11—42no—
201C2×D4×D11—42no—
202C22×D44C2311yescharacteristic
203C22×C4×D11—24no—
204C22×C4×D11—42no—
205C22×C4×D11—42no—
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C11×#123—24no—
219C11×#123—42no—
220C11×C22⋊Q8—24no—
221C11×C22⋊Q8—42no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊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×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66999—24no—
256#66999—24no—
257#66999—42no—
258#66988—24no—
259#66982—24no—
260#66982—42no—
261C2×(C2×D11)⋊C4—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×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298#66977—24no—
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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#66950—24no—
323#66950—24no—
324#66949—24no—
325#66949—24no—
326#66949—24no—
327#66949—24no—
328#66949—42no—
329#66947—24no—
330#66947—24no—
331#66947—42no—
332C4⋊C4×D11—24no—
333C4⋊C4×D11—24no—
334#66939—24no—
335#66936—24no—
336#66936—24no—
337#66936—42no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—24no—
340C22⋊C4×D11—24no—
341C22⋊C4×D11D418yes—
342#66931—24no—
343#66931—24no—
344#66931—42no—
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
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
385#36720—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11C2×D414yes—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×Q8×C11—22no—
406C2×Q8×C11—41no—
407C2×Q8×C11—41no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—41no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
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
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455D4×D11—416no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44—41no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—416no—
485C2×C4×D11C2×D414yes—
486C2×C4×D11C2×D414yes—
487C2×Dic22—22no—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—41no—
491C2×Dic22—41no—
492C2×Dic22—41no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C2×Dic22—41no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—22no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4C2×D414yes—
518C42×C11—41no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11C2×D414yes—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4C2×D414yes—
556(C2×D11)⋊C4C2×D414yes—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11—41no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C2×#543—111no—
589C22×#123—111no—
590#2848—111no—
591#2848—111no—
592#2687—111no—
593#2687—111no—
594#2687—111no—
595#2687—111no—
596#2687—111no—
597#2687—111no—
598#2687—111no—
599#2687—111no—
600#2680—111no—
601#2680—111no—
602#2680—111no—
603#2680—111no—
604#2680—111no—
605#2680—111no—
606#2680—111no—
607#2680D1111yescharacteristic, complemented
608#2627—111no—
609#2627—111no—
610#2561—111no—
611#2561—111no—
612#2502—111no—
613#2502—111no—
614#2483—111no—
615#2483—111no—
616#2405—111no—
617#2405—111no—
618#2312—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11C22×D412yes—
632C23×C11H(5,𝔽2)12yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—28no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11—44no—
659C22×D11—44no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11—82no—
663C22×D11—82no—
664C22×D11C22×D412yes—
665C22×D11C22×D412yes—
666C22×D11H(5,𝔽2)12yes—
667C22×D112−1+412yes—
668C22×D112−1+412yes—
669Q8×C11—82no—
670D4×C11—44no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—44no—
709C2×C4×C11—82no—
710C2×C4×C11C22×D412yes—
711C2×C4×C11C22×D412yes—
712C22⋊D11—44no—
713C22⋊D11—44no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—44no—
752C2×Dic11—82no—
753C2×Dic11C22×D412yes—
754C2×Dic11C22×D412yes—
755D44—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760C4×D11—44no—
761C4×D11—44no—
762C4×D11—44no—
763C4×D11—82no—
764C4×D11—82no—
765Dic22—82no—
766Dic22—82no—
767Dic22—82no—
768C23×D4—111no—
769C24×C4—111no—
770#543—228no—
771C2×#123—111no—
772C2×#123—111no—
773C2×#123—111no—
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×#123—111no—
779C2×#123—111no—
780C2×#123—111no—
781C2×#123—228no—
782C2×#123C2×D1111yescharacteristic
783C2×#123C2×D1111yescharacteristic
784C2×C22⋊Q8—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8—111no—
790C2×C22⋊Q8—111no—
791C2×C22⋊Q8—111no—
792C2×C22⋊Q8—111no—
793C2×C22⋊Q8—111no—
794C2×C22⋊Q8—111no—
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8C2×D1111yescharacteristic, complemented
799C2×C22⋊Q8C2×D1111yescharacteristic, complemented
800C22×C4⋊C4—111no—
801C22×C4⋊C4—111no—
802C22×C22⋊C4—111no—
803C22×C22⋊C4—111no—
804C22×C22⋊C4—111no—
805C22×C22⋊C4—111no—
806C22×C22⋊C4—111no—
807#400—111no—
808#400—111no—
809#400—111no—
810#400—111no—
811#398—111no—
812#398—111no—
813#398—111no—
814#398—111no—
815#398—111no—
816#398—111no—
817#398—111no—
818#398—111no—
819#398—111no—
820#398—111no—
821#398—111no—
822#398—111no—
823#398—111no—
824#398—111no—
825#398C2×D1111yescharacteristic, complemented
826#398C2×D1111yescharacteristic, complemented
827#397—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#397—111no—
837#397C2×D1111yescharacteristic, complemented
838#397C2×D1111yescharacteristic, complemented
839#395—111no—
840#395—111no—
841#395—111no—
842#395C2×D1111yescharacteristic, complemented
843#394—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394C2×D1111yescharacteristic
851#393—111no—
852#393—111no—
853#393—111no—
854#393—111no—
855#391—111no—
856#391—111no—
857#391—111no—
858#391—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388C2×D1111yescharacteristic, complemented
874#388C2×D1111yescharacteristic, complemented
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385C2×D1111yescharacteristic, complemented
898#385C2×D1111yescharacteristic, complemented
899#384—111no—
900#384—111no—
901#384—111no—
902#384C2×D1111yescharacteristic, complemented
903#381—111no—
904#381—111no—
905#381—111no—
906#381—111no—
907#381—111no—
908#381—111no—
909#381—111no—
910#381—111no—
911#380—111no—
912#380—111no—
913#380—111no—
914#380—111no—
915#380—111no—
916#380—111no—
917#379—111no—
918#379—111no—
919#379—111no—
920#379—111no—
921#379—111no—
922#379—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11C23×D411yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×2−1+411yescharacteristic
943C22×C11C2×2−1+411yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—416no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C2×D11#53614yes—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981C4×C11—41no—
982Dic11—22no—
983Dic11—22no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993Dic11—41no—
994Dic11—41no—
995C25—111no—
996C25—111no—
997C22×Q8—111no—
998C22×Q8—111no—
999C22×Q8—111no—
1000C22×Q8C22×D1111yescharacteristic
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—224no—
1005C22×D4—442no—
1006C22×D4—442no—
1007C22×D4C22×D1111yescharacteristic
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—224no—
1020C23×C4—442no—
1021C23×C4—442no—
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#123—24no—
1025#123—42no—
1026#123—224no—
1027#123—224no—
1028#123—224no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032#123—224no—
1033#123—442no—
1034#123—442no—
1035#123—442no—
1036C22⋊Q8—24no—
1037C22⋊Q8—42no—
1038C22⋊Q8—224no—
1039C22⋊Q8—224no—
1040C22⋊Q8—224no—
1041C22⋊Q8—224no—
1042C22⋊Q8—224no—
1043C22⋊Q8—224no—
1044C22⋊Q8—224no—
1045C22⋊Q8—224no—
1046C22⋊Q8—224no—
1047C22⋊Q8—224no—
1048C22⋊Q8—224no—
1049C22⋊Q8—442no—
1050C22⋊Q8—442no—
1051C22⋊Q8—442no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—224no—
1081C2×C4⋊C4—224no—
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C4⋊C4C22×D1111yescharacteristic
1092C2×C4⋊C4C22×D1111yescharacteristic
1093C2×C4⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—118no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—224no—
1134C2×C22⋊C4—224no—
1135C2×C22⋊C4—224no—
1136C2×C22⋊C4—224no—
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42C22×D1111yescharacteristic
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188#95C22×D1111yescharacteristic
1189#95C22×D1111yescharacteristic
1190#95C22×D1111yescharacteristic
1191C2×C11—42no—
1192C2×C11—42no—
1193C2×C11C2×#53611yescharacteristic
1194C2×C11#348411yescharacteristic
1195C2×C11#348511yescharacteristic
1196C2×C11#353511yescharacteristic
1197C2×C11#353511yescharacteristic
1198C2×C11#353511yescharacteristic
1199C2×C11#353511yescharacteristic
1200D11—24no—
1201D11—42no—
1202D11—42no—
1203C24—111no—
1204C24—111no—
1205C24—111no—
1206C24—114no—
1207C24—222no—
1208C24—222no—
1209C24—222no—
1210C24—222no—
1211C24—222no—
1212C24—222no—
1213C24—222no—
1214C24—441no—
1215C24—441no—
1216C24—441no—
1217C24—441no—
1218C24—441no—
1219C24—441no—
1220C24C23×D1111yescharacteristic
1221C24C23×D1111yescharacteristic
1222C2×Q8—22no—
1223C2×Q8—41no—
1224C2×Q8—41no—
1225C2×Q8—222no—
1226C2×Q8—222no—
1227C2×Q8—222no—
1228C2×Q8—441no—
1229C2×Q8—441no—
1230C2×Q8—441no—
1231C2×Q8—441no—
1232C2×Q8—441no—
1233C2×Q8—441no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—41no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—4416no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—114no—
1256C22×C4—114no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4—4416no—
1297C22×C4—441no—
1298C22×C4—441no—
1299C22×C4—441no—
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C22×C4C23×D1111yescharacteristic
1311C22×C4C23×D1111yescharacteristic
1312C22×C4C23×D1111yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—222no—
1336C4⋊C4—222no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C4⋊C4—441no—
1351C4⋊C4—441no—
1352C4⋊C4—441no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—114no—
1363C22⋊C4—114no—
1364C22⋊C4—114no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4D4×D1114yes—
1401C42—41no—
1402C42—441no—
1403C42—441no—
1404C42—441no—
1405C11#3672011yescharacteristic, complemented, Sylow
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—112no—
1419C23—112no—
1420C23—112no—
1421C23—112no—
1422C23—112no—
1423C23—228no—
1424C23—228no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23—444no—
1442C23—444no—
1443C23—444no—
1444C23—444no—
1445C23—444no—
1446C23—444no—
1447C23—444no—
1448C23—444no—
1449C23—882no—
1450C23—882no—
1451C23—882no—
1452C23—882no—
1453C23C2×D4×D1112yes—
1454C23#6703712yes—
1455C23C24×D1111yescharacteristic
1456Q8—82no—
1457Q8—882no—
1458Q8—882no—
1459Q8—882no—
1460D4—44no—
1461D4—444no—
1462D4—444no—
1463D4—444no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—44no—
1502C2×C4—82no—
1503C2×C4—112no—
1504C2×C4—112no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—444no—
1543C2×C4—444no—
1544C2×C4—444no—
1545C2×C4—444no—
1546C2×C4—444no—
1547C2×C4—444no—
1548C2×C4—444no—
1549C2×C4—444no—
1550C2×C4—882no—
1551C2×C4—882no—
1552C2×C4—882no—
1553C2×C4C2×D4×D1112yes—
1554C2×C4C2×D4×D1112yes—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—114no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—222no—
1580C22—222no—
1581C22—222no—
1582C22—4416no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22—888no—
1592C22C22×D4×D1111yescharacteristic
1593C22C2×#6703711yescharacteristic
1594C22#1062345311yescharacteristic
1595C22D11×H(5,𝔽2)11yescharacteristic
1596C22D11×2−1+411yescharacteristic
1597C22D11×2−1+411yescharacteristic
1598C22#1062345711yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—222no—
1613C4—222no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C4—441no—
1625C2—42no—
1626C2—42no—
1627C2—224no—
1628C2—442no—
1629C2—442no—
1630C2D11×#53611yescharacteristic
1631C2#1308224411yescharacteristic
1632C2#1308225511yescharacteristic
1633C2#1308281511yescharacteristic
1634C2#1308281711yescharacteristic
1635C2#1308282411yescharacteristic
1636C2#1308282711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2680C2
prime radicalC22×D4×D11C22
hypercenter#2680D11
hypocenterC11#36720
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
1. C2×#10623165C2semidirect
3. #13076902C2semidirect
4. #13076900C2semidirect
5. #13075044C2semidirect
6. #13075043C2semidirect
7. #13075040C2semidirect
8. #13075039C2semidirect
9. #13075035C2semidirect
10. #13075034C2semidirect
11. #13075031C2semidirect
12. #13075030C2semidirect
13. #13074960C2semidirect
14. #13074958C2semidirect
15. #13074956C2semidirect
16. #13074955C2semidirect
17. #13074955C2semidirect
18. #13074953C2semidirect
19. #13074952C2semidirect
20. #13074434C2semidirect
21. #13074428C2semidirect
22. #13073772C2semidirect
23. #13073768C2semidirect
24. #13073091C2semidirect
25. #13073089C2semidirect
26. #13072896C2semidirect
27. #13072893C2semidirect
30. #13071210C2semidirect
31. C11×#2680C2semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
39. C2×#66999C22semidirect
40. C2×#66999C22semidirect
45. C2×#66977C22semidirect
49. C2×#66950C22semidirect
52. C2×#66949C22semidirect
53. C2×#66949C22semidirect
54. C2×#66949C22semidirect
68. C2×#66931C22semidirect
69. C2×#66931C22semidirect
70. C2×#66931C22semidirect
71. C11×#398C22semidirect
72. C11×#398C22semidirect
73. C11×#397C22semidirect
74. C11×#397C22semidirect
75. C11×#395C22semidirect
77. C11×#388C22semidirect
78. C11×#388C22semidirect
79. C11×#385C22semidirect
80. C11×#385C22semidirect
81. C11×#384C22semidirect
82. #10622842C22semidirect
85. #10622825C22semidirect
86. #10622823C22semidirect
87. #10622823C22semidirect
88. #10622606C22semidirect
89. #10622606C22semidirect
90. #10622606C22semidirect
93. #10622603C22semidirect
94. #10622603C22semidirect
101. #10622602C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
106. #10622600C22semidirect
107. #10622599C22semidirect
108. #10622597C22semidirect
109. #10622597C22semidirect
110. #10622597C22semidirect
111. #10622597C22semidirect
112. #10622597C22semidirect
113. #10622597C22semidirect
114. #10622596C22semidirect
115. #10622596C22semidirect
116. #10622593C22semidirect
117. #10622593C22semidirect
118. #10622593C22semidirect
119. #10622592C22semidirect
120. #10622589C22semidirect
121. #10622589C22semidirect
122. #10622589C22semidirect
123. #10622587C22semidirect
136. #10622566C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
139. #10622565C22semidirect
140. #10622564C22semidirect
141. #10622564C22semidirect
142. #10622564C22semidirect
143. #10622560C22semidirect
144. #10622560C22semidirect
145. #10622559C22semidirect
146. #10622559C22semidirect
147. #10622558C22semidirect
148. #10622558C22semidirect
149. #10622557C22semidirect
150. #10622556C22semidirect
151. #10622556C22semidirect
152. #10622555C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
156. #10622542C22semidirect
157. #10622288C22semidirect
158. #10622288C22semidirect
159. #10622288C22semidirect
160. #10622286C22semidirect
161. #10622286C22semidirect
162. #10622283C22semidirect
163. #10622283C22semidirect
164. #10622283C22semidirect
165. #10622282C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
171. #10622280C22semidirect
178. #10622277C22semidirect
179. #10622277C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622272C22semidirect
183. #10622271C22semidirect
184. #10622270C22semidirect
185. #10622270C22semidirect
186. #10622269C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
607. #2680D11semidirect
798. C2×C22⋊Q8C2×D11semidirect
799. C2×C22⋊Q8C2×D11semidirect
825. #398C2×D11semidirect
826. #398C2×D11semidirect
837. #397C2×D11semidirect
838. #397C2×D11semidirect
842. #395C2×D11semidirect
873. #388C2×D11semidirect
874. #388C2×D11semidirect
897. #385C2×D11semidirect
898. #385C2×D11semidirect
902. #384C2×D11semidirect
1405. C11#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
C2×D11×#1232
#130769022
#130769002
#130750442
#130750432
#130750402
#130750392
#130750352
#130750342
#130750312
#130750302
#130749602
#130749582
#130749562
#130749552
#130749532
#130749522
#130744342
#130744282
#130737722
#130737682
#130730912
#130730892
#130728962
#130728932
#130719402
#130719382
#130712102
C11×#26802
#3672011