Finite Group Databasebeta

← #14926476

Subgroups — #14926476

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×#10623238C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13076934C211yesmaximal, characteristic, complemented
4#13076925C211yesmaximal, characteristic, complemented
5#13076909C211yesmaximal, characteristic, complemented
6#13076902C211yesmaximal, characteristic, complemented
7#13074532C211yesmaximal, characteristic, complemented
8#13074520C211yesmaximal, characteristic, complemented
9#13074489C211yesmaximal, characteristic, complemented
10#13074454C211yesmaximal, characteristic, complemented
11#13072858C211yesmaximal, characteristic, complemented
12#13072761C211yesmaximal, characteristic, complemented
13#13072612C211yesmaximal, characteristic, complemented
14#13072568C211yesmaximal, characteristic, complemented
15#13072493C211yesmaximal, characteristic, complemented
16#13072432C211yesmaximal, characteristic, complemented
17#13072430C211yesmaximal, characteristic, complemented
18#13072350C211yesmaximal, characteristic, complemented
19#13072278C211yesmaximal, characteristic, complemented
20#13072174C211yesmaximal, characteristic, complemented
21#13072090C211yesmaximal, characteristic, complemented
22#13072083C211yesmaximal, characteristic, complemented
23#13072005C211yesmaximal, characteristic, complemented
24#13071985C211yesmaximal, characteristic
25#13071938C211yesmaximal, characteristic, complemented
26#13071315C211yesmaximal, characteristic, complemented
27#13071280C211yesmaximal, characteristic, complemented
28#13071246C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2466C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C11×#126C2211yescharacteristic, complemented
36C2×C4×D4×C11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×#66982C2211yescharacteristic, complemented
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic, complemented
42#10623238—28no—
43C4×D4×D11—28no—
44C2×#66951C2211yescharacteristic, complemented
45C2×#66950C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic, complemented
48C2×#66949C2211yescharacteristic, complemented
49C2×#66948C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic, complemented
52C2×#66946C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic, complemented
55C2×C4⋊C4×D11C2211yescharacteristic, complemented
56C2×#66943C2211yescharacteristic, complemented
57C2×#66939C2211yescharacteristic, complemented
58C2×#66937C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic, complemented
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×C22⋊C4×D11C2211yescharacteristic
69C2×#66931C2211yescharacteristic, complemented
70C2×C4×D44C2211yescharacteristic
71C2×C4×D44C2211yescharacteristic
72C2×C4×D44C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic
74C2×#66923C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#389C2211yescharacteristic, complemented
80C11×#389C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#387C2211yescharacteristic, complemented
83C11×#387C2211yescharacteristic, complemented
84C11×#385C2211yescharacteristic, complemented
85C11×#385C2211yescharacteristic, complemented
86C11×#381C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622823C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622606C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic
109#10622600C2211yescharacteristic
110#10622597C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622590C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic
116#10622574C2211yescharacteristic, complemented
117#10622574C2211yescharacteristic, complemented
118#10622573C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622572C2211yescharacteristic, complemented
122#10622571C2211yescharacteristic, complemented
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic, complemented
136#10622562C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic, complemented
138#10622560C2211yescharacteristic, complemented
139#10622559C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic, complemented
141#10622555C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622553C2211yescharacteristic, complemented
144#10622553C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622541C2211yescharacteristic, complemented
149#10622290C2211yescharacteristic, complemented
150#10622282C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic, complemented
163#10622280C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176D11×#95C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic, complemented
178#10622274C2211yescharacteristic, complemented
179#10622273C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622265C2211yescharacteristic, complemented
188#10622264C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—24no—
202C2×D4×D11—24no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11—24no—
208C22×C4×D11—24no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
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×#126—24no—
229C4×D4×C11—24no—
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×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×C42×C11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260D4×Dic11—24no—
261#66982—42no—
262C4×C22⋊D11—24no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66950—24no—
326#66949—24no—
327#66949—42no—
328#66949—42no—
329#66948—24no—
330#66947—24no—
331#66947—24no—
332#66946—24no—
333C4⋊C4×D11—24no—
334C4⋊C4×D11—24no—
335C4⋊C4×D11—42no—
336#66943—24no—
337#66939—24no—
338#66937—24no—
339#66936—24no—
340#66936—24no—
341#66935—24no—
342#66935—42no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4D418yescomplemented
345C22⋊C4×D11—24no—
346C22⋊C4×D11—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—42no—
349#66931—24no—
350C4×D44—24no—
351C4×D44—24no—
352C4×D44—42no—
353C42×D11—24no—
354#66923—24no—
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
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—22no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—41no—
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
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11C2×D414yes—
446C22×Dic11—22no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11C2×D414yes—
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464D4×D11—232no—
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—41no—
475C2×D44—41no—
476C2×D44#4114yes—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
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—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
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—41no—
518C2×C4×D11—416no—
519C2×C4×D11—416no—
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—41no—
532C11×C4⋊C4—41no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4C2×D414yes—
543C42×C11—22no—
544C42×C11—22no—
545C42×C11—41no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
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—22no—
575(C2×D11)⋊C4—22no—
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)⋊C4C2×D414yes—
584C4⋊Dic11—22no—
585C4⋊Dic11—22no—
586C4⋊Dic11—22no—
587C4⋊Dic11—22no—
588C4⋊Dic11—22no—
589C4⋊Dic11—22no—
590C4⋊Dic11—41no—
591C4⋊Dic11—41no—
592C4⋊Dic11—41no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—22no—
596Dic11⋊C4—22no—
597Dic11⋊C4—22no—
598Dic11⋊C4—22no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—41no—
603Dic11⋊C4—41no—
604Dic11⋊C4—41no—
605Dic11⋊C4—41no—
606Dic11⋊C4—41no—
607Dic11⋊C4—41no—
608Dic11⋊C4C2×D414yes—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#539—111no—
614C22×C4×D4—111no—
615#2852—111no—
616#2851—111no—
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#2466D1111yescharacteristic, complemented
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×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11C22×D412yes—
657C23×C11C2×#4112yes—
658C23×C11C2511yescharacteristic
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—28no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—28no—
675C22×D11—28no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—44no—
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×D11C22×D412yes—
695C22×D11C2×#4112yes—
696C22×D11C2×#4112yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11H(5,𝔽2)12yes—
700C22×D112−1+412yes—
701D4×C11—28no—
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—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—44no—
738C2×C4×C11—44no—
739C2×C4×C11C22×D412yes—
740C2×C4×C11C22×D412yes—
741C2×C4×C11C2×#4112yes—
742C2×C4×C11H(5,𝔽2)12yes—
743C22⋊D11—28no—
744C22⋊D11—28no—
745C22⋊D11—44no—
746C22⋊D11—82no—
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—21no—
779C2×Dic11—21no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11C22×D412yes—
783C2×Dic11C22×D412yes—
784C2×Dic11C22×D412yes—
785D44—28no—
786D44—44no—
787D44—44no—
788D44—82no—
789C4×D11—28no—
790C4×D11—28no—
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×#126C2×D1111yescharacteristic, complemented
810C2×#125—111no—
811C2×#125—111no—
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—228no—
838C2×C4×D4C2×D1111yescharacteristic
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×C42—111no—
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#397C2×D1111yescharacteristic, complemented
861#396—111no—
862#396—111no—
863#396—111no—
864#396C2×D1111yescharacteristic, complemented
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#394C2×D1111yescharacteristic
875#394C2×D1111yescharacteristic
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#388C2×D1111yescharacteristic, complemented
891#387—111no—
892#387—111no—
893#387—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
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#385—111no—
938#385—111no—
939#385C2×D1111yescharacteristic, complemented
940#385C2×D1111yescharacteristic, complemented
941#383—111no—
942#382—111no—
943#381—111no—
944#381—111no—
945#381C2×D1111yescharacteristic, complemented
946#380—111no—
947#380—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380—111no—
952#379—111no—
953#379—111no—
954#379—111no—
955#379—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4C2×D1111yescharacteristic, complemented
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—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11C23×D411yescharacteristic
976C22×C11C22×#4111yescharacteristic
977C22×C11C22×#4111yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11C2×H(5,𝔽2)11yescharacteristic
980C22×C11C2×2−1+411yescharacteristic
981C22×C11#58511yescharacteristic
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—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—416no—
998C2×D11—416no—
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#52514yes—
1011C2×D11#53914yescomplemented
1012C4×C11—22no—
1013C4×C11—22no—
1014C4×C11—22no—
1015C4×C11—22no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11—41no—
1022C4×C11—41no—
1023C4×C11—41no—
1024C4×C11—41no—
1025Dic11—22no—
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—224no—
1049C22×D4—224no—
1050C22×D4—224no—
1051C22×D4C22×D1111yescharacteristic
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—111no—
1068C23×C4—224no—
1069C23×C4—224no—
1070C23×C4—442no—
1071C23×C4—442no—
1072C23×C4—442no—
1073C23×C4—442no—
1074C23×C4C22×D1111yescharacteristic
1075C23×C4C22×D1111yescharacteristic
1076#126—24no—
1077#126—224no—
1078#125—224no—
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—24no—
1096C4×D4—118no—
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—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—224no—
1132C2×C4⋊C4—224no—
1133C2×C4⋊C4—442no—
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—224no—
1182C2×C22⋊C4—224no—
1183C2×C22⋊C4—224no—
1184C2×C22⋊C4—442no—
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C22⋊C4C22×D1111yescharacteristic
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—224no—
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#95—111no—
1228#95—111no—
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—42no—
1240C2×C11—42no—
1241C2×C11C2×#52511yescharacteristic
1242C2×C11C2×#53911yescharacteristic
1243C2×C11#345911yescharacteristic
1244C2×C11#348411yescharacteristic
1245C2×C11#348911yescharacteristic
1246C2×C11#351311yescharacteristic
1247C2×C11#352011yescharacteristic
1248D11—24no—
1249D11—24no—
1250D11—42no—
1251D11—81no—
1252C24—111no—
1253C24—111no—
1254C24—111no—
1255C24—114no—
1256C24—111no—
1257C24—222no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—222no—
1265C24—222no—
1266C24—441no—
1267C24—441no—
1268C24—441no—
1269C24—441no—
1270C24C23×D1111yescharacteristic
1271C24C23×D1111yescharacteristic
1272C2×Q8—222no—
1273C2×Q8—441no—
1274C2×Q8—441no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—114no—
1279C2×D4—114no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—2232no—
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—41no—
1308C22×C4—41no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—114no—
1313C22×C4—114no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—222no—
1324C22×C4—222no—
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—222no—
1347C22×C4—222no—
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—4416no—
1366C22×C4—4416no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—441no—
1370C22×C4—441no—
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—41no—
1392C4⋊C4—41no—
1393C4⋊C4—114no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
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—22no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—114no—
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—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
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⋊C4D4×D1114yes—
1466C42—22no—
1467C42—22no—
1468C42—41no—
1469C42—114no—
1470C42—222no—
1471C42—222no—
1472C42—441no—
1473C11#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—112no—
1487C23—112no—
1488C23—112no—
1489C23—112no—
1490C23—112no—
1491C23—112no—
1492C23—112no—
1493C23—228no—
1494C23—228no—
1495C23—228no—
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—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—221no—
1514C23—221no—
1515C23—221no—
1516C23—221no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23—444no—
1526C23—444no—
1527C23—444no—
1528C23C2×D4×D1112yes—
1529C23#41×D1112yes—
1530C23C24×D1111yescharacteristic
1531Q8—882no—
1532D4—28no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539D4—882no—
1540D4—882no—
1541C2×C4—21no—
1542C2×C4—21no—
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—44no—
1577C2×C4—44no—
1578C2×C4—112no—
1579C2×C4—112no—
1580C2×C4—112no—
1581C2×C4—228no—
1582C2×C4—228no—
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—221no—
1615C2×C4—221no—
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—444no—
1627C2×C4—882no—
1628C2×C4—882no—
1629C2×C4—882no—
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—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—114no—
1649C22—114no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—222no—
1664C22—222no—
1665C22—4416no—
1666C22—4416no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22—441no—
1678C22C22×D4×D1111yescharacteristic
1679C22C2×#41×D1111yescharacteristic
1680C22C2×#41×D1111yescharacteristic
1681C22C2×#6704211yescharacteristic
1682C22#1062345311yescharacteristic
1683C22D11×H(5,𝔽2)11yescharacteristic
1684C22D11×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—222no—
1699C4—222no—
1700C4—222no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C2—42no—
1711C2—42no—
1712C2—224no—
1713C2—224no—
1714C2—442no—
1715C2—881no—
1716C2D11×#52511yescharacteristic
1717C2D11×#53911yescharacteristic
1718C2#1308202611yescharacteristic
1719C2#1308224611yescharacteristic
1720C2#1308229011yescharacteristic
1721C2#1308256311yescharacteristic
1722C2#1308266411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2466C2
prime radical#13071985C2
hypercenter#2466D11
hypocenterC11#34991
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2466

Complements

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

NH ≅ G/Ntype
1. C2×#10623238C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13076934C2semidirect
4. #13076925C2semidirect
5. #13076909C2semidirect
6. #13076902C2semidirect
7. #13074532C2semidirect
8. #13074520C2semidirect
9. #13074489C2semidirect
10. #13074454C2semidirect
11. #13072858C2semidirect
12. #13072761C2semidirect
13. #13072612C2semidirect
14. #13072568C2semidirect
15. #13072493C2semidirect
16. #13072432C2semidirect
17. #13072430C2semidirect
18. #13072350C2semidirect
19. #13072278C2semidirect
20. #13072174C2semidirect
21. #13072090C2semidirect
22. #13072083C2semidirect
23. #13072005C2semidirect
25. #13071938C2semidirect
26. #13071315C2semidirect
27. #13071280C2semidirect
28. #13071246C2semidirect
29. C4×#66935C2semidirect
30. D11×#385C2semidirect
31. C11×#2466C2semidirect
35. C2×C11×#126C22semidirect
38. C2×#66982C22semidirect
41. C2×C4×C22⋊D11C22semidirect
44. C2×#66951C22semidirect
45. C2×#66950C22semidirect
47. C2×#66949C22semidirect
48. C2×#66949C22semidirect
51. C2×#66947C22semidirect
54. C2×C4⋊C4×D11C22semidirect
55. C2×C4⋊C4×D11C22semidirect
56. C2×#66943C22semidirect
57. C2×#66939C22semidirect
60. C2×#66936C22semidirect
69. C2×#66931C22semidirect
72. C2×C4×D44C22semidirect
74. C2×#66923C22semidirect
75. C11×#397C22semidirect
76. C11×#396C22semidirect
79. C11×#389C22semidirect
80. C11×#389C22semidirect
81. C11×#388C22semidirect
82. C11×#387C22semidirect
83. C11×#387C22semidirect
84. C11×#385C22semidirect
85. C11×#385C22semidirect
86. C11×#381C22semidirect
87. C4×C11×C22⋊C4C22semidirect
90. #10622823C22semidirect
91. #10622823C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622606C22semidirect
95. #10622605C22semidirect
96. #10622604C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
104. #10622602C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
107. #10622602C22semidirect
110. #10622597C22semidirect
111. #10622594C22semidirect
112. #10622594C22semidirect
113. #10622590C22semidirect
114. #10622585C22semidirect
116. #10622574C22semidirect
117. #10622574C22semidirect
121. #10622572C22semidirect
122. #10622571C22semidirect
129. #10622566C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
134. #10622563C22semidirect
135. #10622563C22semidirect
136. #10622562C22semidirect
137. #10622561C22semidirect
138. #10622560C22semidirect
139. #10622559C22semidirect
140. #10622556C22semidirect
141. #10622555C22semidirect
142. #10622553C22semidirect
143. #10622553C22semidirect
144. #10622553C22semidirect
146. C4×(C2×D11)⋊C4C22semidirect
147. #10622546C22semidirect
148. #10622541C22semidirect
149. #10622290C22semidirect
150. #10622282C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
162. #10622280C22semidirect
163. #10622280C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622277C22semidirect
176. D11×#95C22semidirect
177. D11×#95C22semidirect
178. #10622274C22semidirect
179. #10622273C22semidirect
180. #10622270C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622265C22semidirect
188. #10622264C22semidirect
344. (C22⋊D11)⋊C4D4semidirect
625. #2466D11semidirect
809. C2×#126C2×D11semidirect
860. #397C2×D11semidirect
864. #396C2×D11semidirect
881. #389C2×D11semidirect
882. #389C2×D11semidirect
890. #388C2×D11semidirect
899. #387C2×D11semidirect
900. #387C2×D11semidirect
939. #385C2×D11semidirect
940. #385C2×D11semidirect
945. #381C2×D11semidirect
958. C4×C22⋊C4C2×D11semidirect
1011. C2×D11#539semidirect
1473. C11#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#106232382
C2×C4×D4×D112
#130769342
#130769252
#130769092
#130769022
#130745322
#130745202
#130744892
#130744542
#130728582
#130727612
#130726122
#130725682
#130724932
#130724322
#130724302
#130723502
#130722782
#130721742
#130720902
#130720832
#130720052
#130719852
#130719382
#130713152
#130712802
#130712462
C4×#669352
D11×#3852
C11×#24662
#3499111