Finite Group Databasebeta

← #14924757

Subgroups — #14924757

Order 2816.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623059C211yesmaximal, characteristic, complemented
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13074313C211yesmaximal, characteristic, complemented
4#13074311C211yesmaximal, characteristic, complemented
5#13074302C211yesmaximal, characteristic, complemented
6#13074300C211yesmaximal, characteristic, complemented
7#13074220C211yesmaximal, characteristic, complemented
8#13074218C211yesmaximal, characteristic, complemented
9#13074212C211yesmaximal, characteristic, complemented
10#13074210C211yesmaximal, characteristic, complemented
11#13074094C211yesmaximal, characteristic, complemented
12#13073994C211yesmaximal, characteristic, complemented
13#13073772C211yesmaximal, characteristic, complemented
14#13073545C211yesmaximal, characteristic
15#13072022C211yesmaximal, characteristic, complemented
16#13072020C211yesmaximal, characteristic, complemented
17#13072000C211yesmaximal, characteristic, complemented
18#13071998C211yesmaximal, characteristic, complemented
19#13071892C211yesmaximal, characteristic, complemented
20#13071890C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22#13071858C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66936C211yesmaximal, characteristic, complemented
25C4×#66935C211yesmaximal, characteristic, complemented
26C4×#66990C211yesmaximal, characteristic, complemented
27#13071080C211yesmaximal, characteristic, complemented
28#13071075C211yesmaximal, characteristic, complemented
29#13071075C211yesmaximal, characteristic, complemented
30C4×#66925C211yesmaximal, characteristic, complemented
31C11×#2293C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66990C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic, complemented
41C2×#66979C2211yescharacteristic
42#10623059—28no—
43D11×#117—28no—
44C2×#66951C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic
46C2×#66947C2211yescharacteristic
47C2×#66947C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66942C2211yescharacteristic, complemented
53C2×#66938C2211yescharacteristic, complemented
54C2×#66937C2211yescharacteristic
55C2×#66936C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66935C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66932C2211yescharacteristic, complemented
61C2×#66930C2211yescharacteristic
62C2×#66930C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×#66925C2211yescharacteristic
66C2×#66925C2211yescharacteristic
67C2×#66925C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69C2×#66925C2211yescharacteristic, complemented
70C2×C42×D11C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C4×Dic22C2211yescharacteristic, complemented
73C11×#390C2211yescharacteristic
74C11×#390C2211yescharacteristic
75C11×#389C2211yescharacteristic, complemented
76C11×#389C2211yescharacteristic, complemented
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic, complemented
81C4×C11×C4⋊C4C2211yescharacteristic, complemented
82C4×C11×C22⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic, complemented
84C43×C11C2211yescharacteristic, complemented
85#10622836C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622833C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90#10622607C2211yescharacteristic
91#10622607C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622603C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622597C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622592C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622585C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622564C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic
127#10622562C2211yescharacteristic
128#10622561C2211yescharacteristic
129#10622561C2211yescharacteristic
130#10622561C2211yescharacteristic, complemented
131#10622561C2211yescharacteristic, complemented
132#10622560C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic
140#10622553C2211yescharacteristic
141#10622553C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic, complemented
143#10622552C2211yescharacteristic
144#10622552C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic
147C4×(C2×D11)⋊C4C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
152C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
153C4×C4⋊Dic11C2211yescharacteristic, complemented
154#10622545C2211yescharacteristic, complemented
155#10622545C2211yescharacteristic, complemented
156C4×Dic11⋊C4C2211yescharacteristic, complemented
157C4×Dic11⋊C4C2211yescharacteristic, complemented
158C4×Dic11⋊C4C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622541C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic
166#10622289C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic
168#10622286C2211yescharacteristic
169#10622285C2211yescharacteristic
170#10622282C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic
173#10622281C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622274C2211yescharacteristic, complemented
180#10622273C2211yescharacteristic, complemented
181#10622271C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622270C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622268C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—24no—
202C22×C4×D11—24no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C4×D4×C11—24no—
214C11×#117—24no—
215C11×#117—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#66990—24no—
253C4×C22⋊D11—24no—
254C4×C22⋊D11—24no—
255C4×C22⋊D11—24no—
256C4×C22⋊D11—24no—
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283#66979—24no—
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66949—24no—
326#66947—24no—
327#66947—24no—
328#66945—24no—
329#66945—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332#66942—24no—
333#66938—24no—
334#66937—24no—
335#66936—24no—
336#66936—24no—
337#66935—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—24no—
340#66932—24no—
341#66930—24no—
342#66930—24no—
343C4×D44—24no—
344C4×D44—24no—
345#66925—24no—
346#66925—24no—
347#66925—24no—
348#66925—24no—
349#66925—24no—
350C42×D11—24no—
351C42×D11D418yescomplemented
352C4×Dic22—24no—
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#34877—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—41no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11#4114yes—
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—22no—
453C2×D44—41no—
454C2×C4×D11—232no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
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—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11C2×D414yes—
479C2×C4×D11C2×D414yes—
480C2×C4×D11C2×D414yes—
481C2×C4×D11#4114yes—
482C2×Dic22—22no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—41no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C42×C11—22no—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—22no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—41no—
509C42×C11—41no—
510C42×C11C2×D414yes—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
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—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4#4114yes—
546(C2×D11)⋊C4#4114yes—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—41no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584C4×Dic11C2×D414yes—
585C4×Dic11C2×D414yes—
586C4×Dic11C2×D414yes—
587C2×#529—111no—
588C22×#117—111no—
589#2611—111no—
590#2611—111no—
591#2610—111no—
592#2610—111no—
593#2601—111no—
594#2601—111no—
595#2601—111no—
596#2601—111no—
597#2591—111no—
598#2583—111no—
599#2561—111no—
600#2539—111no—
601#2413—111no—
602#2413—111no—
603#2411—111no—
604#2411—111no—
605#2396—111no—
606#2396—111no—
607#2392—111no—
608#2392—111no—
609C4×#123—111no—
610C4×#123—111no—
611C4×#120—111no—
612C4×#120—111no—
613#2293—111no—
614#2293—111no—
615#2293—111no—
616#2293D1111yescharacteristic, complemented
617C4×#117—111no—
618C23×C11—21no—
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×C11C2×#4112yes—
632C23×C11C2511yescharacteristic
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—28no—
638C22×D11—21no—
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—44no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11C22×D412yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661D4×C11—44no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—28no—
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—44no—
695C2×C4×C11C22×D412yes—
696C2×C4×C11C22×D412yes—
697C2×C4×C11C22×D412yes—
698C2×C4×C11C2×#4112yes—
699C2×C4×C11C2×#4112yes—
700C2×C4×C11C2×#4112yes—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C2×Dic11—28no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
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×Dic11C22×D412yes—
742C2×Dic11C22×D412yes—
743C2×Dic11C22×D412yes—
744C2×Dic11C2×#4112yes—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747D44—44no—
748D44—44no—
749C4×D11—28no—
750C4×D11—28no—
751C4×D11—28no—
752C4×D11—28no—
753C4×D11—28no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758Dic22—44no—
759C24×C4—111no—
760#529—228no—
761C2×#126—111no—
762C2×#126—111no—
763C2×#125—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#120—111no—
772C2×#120—111no—
773C2×C4×Q8—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4C2×D1111yescharacteristic
781C2×#117—111no—
782C2×#117—111no—
783C2×#117—111no—
784C2×#117—111no—
785C2×#117—111no—
786C2×#117—111no—
787C2×#117—111no—
788C2×#117—111no—
789C2×#117—111no—
790C2×#117—111no—
791C2×#117—228no—
792C2×#117C2×D1111yescharacteristic
793C2×#117C2×D1111yescharacteristic, complemented
794C22×C4⋊C4—111no—
795C22×C4⋊C4—111no—
796C22×C22⋊C4—111no—
797C22×C22⋊C4—111no—
798C22×C42—111no—
799C22×C42—111no—
800#400—111no—
801#400—111no—
802#399—111no—
803#399—111no—
804#398—111no—
805#398—111no—
806#398—111no—
807#398—111no—
808#398—111no—
809#398—111no—
810#397—111no—
811#397—111no—
812#396—111no—
813#396—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#396—111no—
819#396—111no—
820#395—111no—
821#395—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#393—111no—
829#393—111no—
830#392—111no—
831#392—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390C2×D1111yescharacteristic
839#390C2×D1111yescharacteristic
840#389—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#389—111no—
846#389C2×D1111yescharacteristic, complemented
847#389C2×D1111yescharacteristic, complemented
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388C2×D1111yescharacteristic
865#388C2×D1111yescharacteristic
866#388C2×D1111yescharacteristic, complemented
867#388C2×D1111yescharacteristic, complemented
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—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#381—111no—
889#381—111no—
890#379—111no—
891#379—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊C4—111no—
898C4×C4⋊C4—111no—
899C4×C4⋊C4C2×D1111yescharacteristic, complemented
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4C2×D1111yescharacteristic
911C4×C22⋊C4C2×D1111yescharacteristic, complemented
912#376—111no—
913#376—111no—
914C43—111no—
915C43C2×D1111yescharacteristic, complemented
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11C23×D411yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C22×#4111yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11#58511yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—416no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11#53214yes—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11#52514yes—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985C25—111no—
986C22×Q8—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4C22×D1111yescharacteristic
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—224no—
1005C23×C4—224no—
1006C23×C4—224no—
1007C23×C4C22×D1111yescharacteristic
1008C23×C4C22×D1111yescharacteristic
1009#126—224no—
1010#126—224no—
1011#125—224no—
1012#124—224no—
1013#123—224no—
1014#123—224no—
1015#123—224no—
1016#123—224no—
1017C22⋊Q8—224no—
1018#121—224no—
1019#120—224no—
1020#120—224no—
1021C4×Q8—224no—
1022C4×D4—24no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C4×D4—224no—
1026C4×D4—224no—
1027C4×D4—224no—
1028C4×D4—224no—
1029#117—24no—
1030#117—24no—
1031#117—224no—
1032#117—224no—
1033#117—224no—
1034#117—224no—
1035#117—224no—
1036#117—224no—
1037#117—224no—
1038#117—224no—
1039#117—224no—
1040#117—224no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
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—224no—
1069C2×C4⋊C4—224no—
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
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—224no—
1114C2×C22⋊C4—224no—
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—118no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—224no—
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142C2×C42C22×D1111yescharacteristic
1143C2×C42C22×D1111yescharacteristic
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
1147C2×C42C22×D1111yescharacteristic
1148C2×C42C22×D1111yescharacteristic
1149#95—111no—
1150#95—111no—
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#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181C2×C11—42no—
1182C2×C11—81no—
1183C2×C11C2×#52511yescharacteristic
1184C2×C11C2×#53211yescharacteristic
1185C2×C11#344911yescharacteristic
1186C2×C11#347511yescharacteristic
1187C2×C11#347511yescharacteristic
1188C2×C11#347511yescharacteristic
1189C2×C11#347511yescharacteristic
1190D11—24no—
1191D11—42no—
1192D11—81no—
1193C24—111no—
1194C24—111no—
1195C24—111no—
1196C24—222no—
1197C24—222no—
1198C24—222no—
1199C24—222no—
1200C24—222no—
1201C24—441no—
1202C24—441no—
1203C24C23×D1111yescharacteristic
1204C24C23×D1111yescharacteristic
1205C2×Q8—222no—
1206C2×Q8—441no—
1207C2×Q8—441no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—114no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—2232no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4#433914yes—
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
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—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
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—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—114no—
1381C42—114no—
1382C42—114no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—441no—
1392C42—441no—
1393C42D4×D1114yes—
1394C11#3487711yescharacteristic, complemented, Sylow
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—112no—
1412C23—228no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23C2×#433912yes—
1437C23C24×D1111yescharacteristic
1438Q8—444no—
1439D4—44no—
1440D4—444no—
1441D4—444no—
1442D4—444no—
1443D4—444no—
1444D4—444no—
1445D4—444no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—28no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
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—44no—
1479C2×C4—112no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—228no—
1486C2×C4—228no—
1487C2×C4—228no—
1488C2×C4—228no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—228no—
1502C2×C4—228no—
1503C2×C4—221no—
1504C2×C4—221no—
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—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4C2×#433912yes—
1529C2×C4C2×#433912yes—
1530C2×C4C2×D4×D1112yes—
1531C2×C4C2×D4×D1112yes—
1532C2×C4C2×D4×D1112yes—
1533C2×C4#41×D1112yes—
1534C2×C4#41×D1112yes—
1535C2×C4#41×D1112yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—114no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—4416no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22C22×#433911yescharacteristic
1573C22C22×D4×D1111yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22C2×#41×D1111yescharacteristic
1576C22C2×#41×D1111yescharacteristic
1577C22#1062345311yescharacteristic
1578C22#1062345311yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—222no—
1592C4—222no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4#1062307814yes—
1605C2—42no—
1606C2—81no—
1607C2—224no—
1608C2—442no—
1609C2—881no—
1610C2C2×#1062307811yescharacteristic
1611C2D11×#53211yescharacteristic
1612C2#1308194311yescharacteristic
1613C2#1308216811yescharacteristic
1614C2#1308217011yescharacteristic
1615C2#1308217211yescharacteristic
1616C2#1308218011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2293C2
prime radical#13073545C2
hypercenter#2293D11
hypocenterC11#34877
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. C2×D11×#117C2semidirect
3. #13074313C2semidirect
4. #13074311C2semidirect
5. #13074302C2semidirect
6. #13074300C2semidirect
7. #13074220C2semidirect
8. #13074218C2semidirect
9. #13074212C2semidirect
10. #13074210C2semidirect
11. #13074094C2semidirect
12. #13073994C2semidirect
13. #13073772C2semidirect
15. #13072022C2semidirect
16. #13072020C2semidirect
17. #13072000C2semidirect
18. #13071998C2semidirect
19. #13071892C2semidirect
20. #13071890C2semidirect
21. #13071860C2semidirect
22. #13071858C2semidirect
23. C4×#66947C2semidirect
24. C4×#66936C2semidirect
25. C4×#66935C2semidirect
26. C4×#66990C2semidirect
27. #13071080C2semidirect
28. #13071075C2semidirect
29. #13071075C2semidirect
30. C4×#66925C2semidirect
31. C11×#2293C2semidirect
35. C2×C11×#117C22semidirect
40. C2×C4×C22⋊D11C22semidirect
44. C2×#66951C22semidirect
52. C2×#66942C22semidirect
53. C2×#66938C22semidirect
60. C2×#66932C22semidirect
69. C2×#66925C22semidirect
72. C2×C4×Dic22C22semidirect
75. C11×#389C22semidirect
76. C11×#389C22semidirect
79. C11×#388C22semidirect
80. C11×#388C22semidirect
81. C4×C11×C4⋊C4C22semidirect
83. C4×C11×C22⋊C4C22semidirect
84. C43×C11C22semidirect
89. C4×C22⋊Dic11C22semidirect
91. #10622607C22semidirect
95. #10622603C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
101. #10622597C22semidirect
102. #10622594C22semidirect
103. #10622593C22semidirect
104. #10622592C22semidirect
105. #10622585C22semidirect
106. #10622585C22semidirect
107. #10622585C22semidirect
108. #10622585C22semidirect
109. #10622574C22semidirect
113. #10622572C22semidirect
125. #10622564C22semidirect
130. #10622561C22semidirect
131. #10622561C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622558C22semidirect
141. #10622553C22semidirect
142. #10622553C22semidirect
151. C4×(C2×D11)⋊C4C22semidirect
152. C4×(C2×D11)⋊C4C22semidirect
153. C4×C4⋊Dic11C22semidirect
154. #10622545C22semidirect
155. #10622545C22semidirect
156. C4×Dic11⋊C4C22semidirect
157. C4×Dic11⋊C4C22semidirect
158. C4×Dic11⋊C4C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C42×Dic11C22semidirect
163. #10622541C22semidirect
164. #10622541C22semidirect
166. #10622289C22semidirect
170. #10622282C22semidirect
179. #10622274C22semidirect
180. #10622273C22semidirect
181. #10622271C22semidirect
182. #10622270C22semidirect
183. #10622270C22semidirect
184. #10622270C22semidirect
185. #10622269C22semidirect
186. #10622268C22semidirect
187. #10622267C22semidirect
188. #10622265C22semidirect
351. C42×D11D4semidirect
616. #2293D11semidirect
793. C2×#117C2×D11semidirect
846. #389C2×D11semidirect
847. #389C2×D11semidirect
866. #388C2×D11semidirect
867. #388C2×D11semidirect
899. C4×C4⋊C4C2×D11semidirect
911. C4×C22⋊C4C2×D11semidirect
915. C43C2×D11semidirect
1394. C11#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#106230592
C2×D11×#1172
#130743132
#130743112
#130743022
#130743002
#130742202
#130742182
#130742122
#130742102
#130740942
#130739942
#130737722
#130735452
#130720222
#130720202
#130720002
#130719982
#130718922
#130718902
#130718602
#130718582
C4×#669472
C4×#669362
C4×#669352
C4×#669902
#130710802
#130710752
C4×#669252
C11×#22932
#3487711