Finite Group Databasebeta

← #14924754

Subgroups — #14924754

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×#10623237C211yesmaximal, characteristic, complemented
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13074312C211yesmaximal, characteristic, complemented
4#13074310C211yesmaximal, characteristic, complemented
5#13074301C211yesmaximal, characteristic, complemented
6#13074299C211yesmaximal, characteristic, complemented
7#13074215C211yesmaximal, characteristic, complemented
8#13074213C211yesmaximal, characteristic, complemented
9#13074207C211yesmaximal, characteristic, complemented
10#13074094C211yesmaximal, characteristic, complemented
11#13073994C211yesmaximal, characteristic, complemented
12#13073772C211yesmaximal, characteristic, complemented
13#13073545C211yesmaximal, characteristic
14#13072018C211yesmaximal, characteristic, complemented
15#13072016C211yesmaximal, characteristic, complemented
16#13071996C211yesmaximal, characteristic, complemented
17#13071994C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071861C211yesmaximal, characteristic, complemented
21#13071859C211yesmaximal, characteristic, complemented
22#13071143C211yesmaximal, characteristic, complemented
23#13071137C211yesmaximal, characteristic, complemented
24#13071121C211yesmaximal, characteristic, complemented
25#13071117C211yesmaximal, characteristic, complemented
26#13071078C211yesmaximal, characteristic, complemented
27#13071076C211yesmaximal, characteristic, complemented
28#13071076C211yesmaximal, characteristic, complemented
29#13071074C211yesmaximal, characteristic, complemented
30C4×#66945C211yesmaximal, characteristic, complemented
31C11×#2601C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#117C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×#66979C2211yescharacteristic
38#10623237—28no—
39D11×#117—28no—
40C2×#66949C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66945C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×#66945C2211yescharacteristic, complemented
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66942C2211yescharacteristic, complemented
53C2×#66940C2211yescharacteristic, complemented
54C2×#66938C2211yescharacteristic, complemented
55C2×#66937C2211yescharacteristic
56C2×#66936C2211yescharacteristic
57C2×#66936C2211yescharacteristic
58C2×#66935C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66930C2211yescharacteristic
66C2×#66930C2211yescharacteristic
67C2×#66930C2211yescharacteristic, complemented
68C2×#66929C2211yescharacteristic, complemented
69C2×#66925C2211yescharacteristic
70C2×#66925C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C42×D11C2211yescharacteristic
73C11×#398C2211yescharacteristic, complemented
74C11×#396C2211yescharacteristic
75C11×#396C2211yescharacteristic, complemented
76C11×#394C2211yescharacteristic
77C11×#390C2211yescharacteristic
78C11×#389C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic, complemented
81C11×#388C2211yescharacteristic, complemented
82C11×#387C2211yescharacteristic, complemented
83C11×#386C2211yescharacteristic
84C11×#385C2211yescharacteristic
85C4×C11×C4⋊C4C2211yescharacteristic, complemented
86#10622836C2211yescharacteristic
87#10622834C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622607C2211yescharacteristic
91#10622607C2211yescharacteristic
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622605C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622601C2211yescharacteristic
102#10622598C2211yescharacteristic, complemented
103#10622597C2211yescharacteristic, complemented
104#10622597C2211yescharacteristic, complemented
105#10622597C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622592C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109C4⋊C4×Dic11C2211yescharacteristic, complemented
110C4⋊C4×Dic11C2211yescharacteristic, complemented
111C4⋊C4×Dic11C2211yescharacteristic, complemented
112C4⋊C4×Dic11C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic, complemented
119#10622573C2211yescharacteristic
120#10622572C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622568C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic, complemented
133#10622562C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic, complemented
136#10622560C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic, complemented
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622552C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155C42×Dic11C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622277C2211yescharacteristic
177#10622277C2211yescharacteristic
178#10622273C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
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
213C11×#126—24no—
214C11×#117—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249#66990—24no—
250D4×Dic11—24no—
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277#66979—24no—
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
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
320#66949—24no—
321#66947—24no—
322#66947—24no—
323#66946—24no—
324#66946—24no—
325#66945—24no—
326#66945—24no—
327#66945—24no—
328#66945—24no—
329#66945—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332#66942—24no—
333#66940—24no—
334#66938—24no—
335#66937—24no—
336#66936—24no—
337#66936—24no—
338#66935—24no—
339(C22⋊D11)⋊C4—24no—
340(C22⋊D11)⋊C4—24no—
341(C22⋊D11)⋊C4—24no—
342(C22⋊D11)⋊C4—24no—
343C22⋊C4×D11—24no—
344C22⋊C4×D11—24no—
345#66930—24no—
346#66930—24no—
347#66930—24no—
348#66929—24no—
349#66925—24no—
350#66925—24no—
351C42×D11—24no—
352C42×D11D418yescomplemented
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×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
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
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11#4114yes—
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—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—41no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C42×C11—22no—
507C42×C11—41no—
508C42×C11—41no—
509C42×C11C2×D414yes—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
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—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4#4114yes—
544(C2×D11)⋊C4#4114yes—
545C4⋊Dic11—22no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—41no—
553Dic11⋊C4—22no—
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—41no—
568Dic11⋊C4—41no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
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#2601D1111yescharacteristic, complemented
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#2293—111no—
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—28no—
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—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×C11C22×D412yes—
697C2×C4×C11C22×D412yes—
698C2×C4×C11C22×D412yes—
699C2×C4×C11C2×#4112yes—
700C2×C4×C11C2×#4112yes—
701C2×C4×C11C2×#4112yes—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C2×Dic11—21no—
707C2×Dic11—21no—
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—28no—
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—44no—
739C2×Dic11C22×D412yes—
740C2×Dic11C22×D412yes—
741C2×Dic11C22×D412yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11C2×#4112yes—
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×#126C2×D1111yescharacteristic, complemented
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×D4—111no—
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—111no—
792C2×#117—228no—
793C2×#117C2×D1111yescharacteristic
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#398C2×D1111yescharacteristic, complemented
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#396C2×D1111yescharacteristic
819#396C2×D1111yescharacteristic, complemented
820#395—111no—
821#395—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394C2×D1111yescharacteristic
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#390—111no—
839#390C2×D1111yescharacteristic
840#389—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#389—111no—
846#389—111no—
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#388—111no—
865#388C2×D1111yescharacteristic
866#388C2×D1111yescharacteristic, complemented
867#388C2×D1111yescharacteristic, complemented
868#387—111no—
869#387—111no—
870#387—111no—
871#387C2×D1111yescharacteristic, complemented
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386C2×D1111yescharacteristic
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385C2×D1111yescharacteristic
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⋊C4—111no—
911C4×C22⋊C4—111no—
912#376—111no—
913#376—111no—
914C43—111no—
915C43—111no—
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—22no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11#52514yes—
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—111no—
1005C23×C4—224no—
1006C23×C4—224no—
1007C23×C4—224no—
1008C23×C4C22×D1111yescharacteristic
1009#126—24no—
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—224no—
1023C4×D4—224no—
1024C4×D4—224no—
1025C4×D4—224no—
1026C4×D4—224no—
1027C4×D4—224no—
1028C4×D4—224no—
1029#117—24no—
1030#117—224no—
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—224no—
1066C2×C4⋊C4—224no—
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
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—224no—
1113C2×C22⋊C4—224no—
1114C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—224no—
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#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
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—111no—
1233C22×C4—114no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—2232no—
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—222no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
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—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—41no—
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—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
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—41no—
1374C42—41no—
1375C42—114no—
1376C42—114no—
1377C42—114no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—222no—
1382C42—222no—
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—
1436C23#41×D1112yes—
1437C23C24×D1111yescharacteristic
1438Q8—444no—
1439D4—44no—
1440D4—444no—
1441D4—444no—
1442D4—444no—
1443D4—444no—
1444D4—444no—
1445D4—444no—
1446C2×C4—28no—
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—21no—
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—21no—
1479C2×C4—21no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—228no—
1489C2×C4—228no—
1490C2×C4—228no—
1491C2×C4—228no—
1492C2×C4—228no—
1493C2×C4—228no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
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—221no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
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×D4×D1111yescharacteristic
1573C22C2×#41×D1111yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22C2×#41×D1111yescharacteristic
1576C22C2×#41×D1111yescharacteristic
1577C22#1062345511yescharacteristic
1578C22#1062345711yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—114no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—222no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C2—42no—
1606C2—81no—
1607C2—224no—
1608C2—442no—
1609C2—881no—
1610C2D11×#52511yescharacteristic
1611C2D11×#53211yescharacteristic
1612C2#1308194411yescharacteristic
1613C2#1308217111yescharacteristic
1614C2#1308217511yescharacteristic
1615C2#1308217711yescharacteristic
1616C2#1308218111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2601C2
prime radical#13073545C2
hypercenter#2601D11
hypocenterC11#34877
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#10623237C2semidirect
2. C2×D11×#117C2semidirect
3. #13074312C2semidirect
4. #13074310C2semidirect
5. #13074301C2semidirect
6. #13074299C2semidirect
7. #13074215C2semidirect
8. #13074213C2semidirect
9. #13074207C2semidirect
10. #13074094C2semidirect
11. #13073994C2semidirect
12. #13073772C2semidirect
14. #13072018C2semidirect
15. #13072016C2semidirect
16. #13071996C2semidirect
17. #13071994C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071861C2semidirect
21. #13071859C2semidirect
22. #13071143C2semidirect
23. #13071137C2semidirect
24. #13071121C2semidirect
25. #13071117C2semidirect
26. #13071078C2semidirect
27. #13071076C2semidirect
28. #13071076C2semidirect
29. #13071074C2semidirect
30. C4×#66945C2semidirect
31. C11×#2601C2semidirect
33. C2×C11×#126C22semidirect
49. C2×#66945C22semidirect
52. C2×#66942C22semidirect
53. C2×#66940C22semidirect
54. C2×#66938C22semidirect
62. C2×(C22⋊D11)⋊C4C22semidirect
67. C2×#66930C22semidirect
68. C2×#66929C22semidirect
73. C11×#398C22semidirect
75. C11×#396C22semidirect
78. C11×#389C22semidirect
80. C11×#388C22semidirect
81. C11×#388C22semidirect
82. C11×#387C22semidirect
85. C4×C11×C4⋊C4C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
97. #10622603C22semidirect
102. #10622598C22semidirect
103. #10622597C22semidirect
104. #10622597C22semidirect
105. #10622597C22semidirect
106. #10622596C22semidirect
107. #10622592C22semidirect
108. #10622591C22semidirect
109. C4⋊C4×Dic11C22semidirect
110. C4⋊C4×Dic11C22semidirect
111. C4⋊C4×Dic11C22semidirect
112. C4⋊C4×Dic11C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
118. #10622574C22semidirect
120. #10622572C22semidirect
132. #10622564C22semidirect
135. #10622561C22semidirect
138. #10622558C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
144. C22⋊C4×Dic11C22semidirect
145. C22⋊C4×Dic11C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. #10622546C22semidirect
154. C42×Dic11C22semidirect
155. C42×Dic11C22semidirect
156. #10622541C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
163. #10622282C22semidirect
171. #10622279C22semidirect
172. #10622279C22semidirect
178. #10622273C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622266C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622261C22semidirect
186. #10622261C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
352. C42×D11D4semidirect
596. #2601D11semidirect
762. C2×#126C2×D11semidirect
809. #398C2×D11semidirect
819. #396C2×D11semidirect
847. #389C2×D11semidirect
866. #388C2×D11semidirect
867. #388C2×D11semidirect
871. #387C2×D11semidirect
899. C4×C4⋊C4C2×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×#106232372
C2×D11×#1172
#130743122
#130743102
#130743012
#130742992
#130742152
#130742132
#130742072
#130740942
#130739942
#130737722
#130735452
#130720182
#130720162
#130719962
#130719942
#130718932
#130718912
#130718612
#130718592
#130711432
#130711372
#130711212
#130711172
#130710782
#130710762
#130710742
C4×#669452
C11×#26012
#3487711