Finite Group Databasebeta

← #14917142

Subgroups — #14917142

Order 2816.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623120C211yesmaximal, characteristic
2#13071772C211yesmaximal, characteristic, complemented
3#13071768C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071754C211yesmaximal, characteristic, complemented
6#13071750C211yesmaximal, characteristic, complemented
7#13071655C211yesmaximal, characteristic, complemented
8#13071650C211yesmaximal, characteristic, complemented
9#13071614C211yesmaximal, characteristic, complemented
10#13071610C211yesmaximal, characteristic, complemented
11#13071606C211yesmaximal, characteristic, complemented
12#13071602C211yesmaximal, characteristic, complemented
13#13071593C211yesmaximal, characteristic, complemented
14#13071463C211yesmaximal, characteristic, complemented
15#13071459C211yesmaximal, characteristic, complemented
16#13071434C211yesmaximal, characteristic, complemented
17D4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
18#13071408C211yesmaximal, characteristic, complemented
19#13071401C211yesmaximal, characteristic, complemented
20#13071377C211yesmaximal, characteristic, complemented
21#13071376C211yesmaximal, characteristic, complemented
22#13071308C211yesmaximal, characteristic, complemented
23#13071303C211yesmaximal, characteristic, complemented
24#13071277C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic, complemented
26#13071271C211yesmaximal, characteristic, complemented
27#13071270C211yesmaximal, characteristic, complemented
28#13071197C211yesmaximal, characteristic, complemented
29C4×#67006C211yesmaximal, characteristic, complemented
30C2×#10622826C211yesmaximal, characteristic, complemented
31C4×C11×#120C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic, complemented
33C23×C22⋊D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic, complemented
41C2×#66991C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66990C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66988C2211yescharacteristic
46C2×D4×Dic11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C22×(C2×D11)⋊C4C2211yescharacteristic
51C22×(C2×D11)⋊C4C2211yescharacteristic
52C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
53#10623120C4116yescomplemented
54C2×#66945C2211yescharacteristic, complemented
55C2×#66939C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66936C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic, complemented
63C2×#66930C2211yescharacteristic, complemented
64C2×#66930C2211yescharacteristic, complemented
65C2×#66925C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic, complemented
69C11×#385C2211yescharacteristic, complemented
70C11×#385C2211yescharacteristic, complemented
71C11×#385C2211yescharacteristic, complemented
72C11×#379C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622860C2211yescharacteristic, complemented
77#10622834C2211yescharacteristic, complemented
78#10622834C2211yescharacteristic, complemented
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic, complemented
81#10622833C2211yescharacteristic, complemented
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic, complemented
89#10622826C2211yescharacteristic, complemented
90#10622826C2211yescharacteristic, complemented
91#10622826C2211yescharacteristic, complemented
92#10622826C2211yescharacteristic, complemented
93#10622826C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95#10622823C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic, complemented
97#10622823C2211yescharacteristic, complemented
98C4×C22⋊Dic11C2211yescharacteristic, complemented
99C4×C22⋊Dic11C2211yescharacteristic, complemented
100C4×C22⋊Dic11C2211yescharacteristic, complemented
101C4×C22⋊Dic11C2211yescharacteristic, complemented
102C2×C11⋊#95C2211yescharacteristic, complemented
103C2×C11⋊#95C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622603C2211yescharacteristic, complemented
106#10622603C2211yescharacteristic, complemented
107#10622602C2211yescharacteristic, complemented
108#10622601C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622600C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112C4⋊C4×Dic11C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic, complemented
122#10622570C2211yescharacteristic, complemented
123#10622570C2211yescharacteristic, complemented
124#10622570C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic, complemented
126#10622570C2211yescharacteristic, complemented
127#10622570C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622568C2211yescharacteristic, complemented
134#10622568C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622564C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic, complemented
140#10622559C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151C22⋊C4×Dic11C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic, complemented
154#10622553C2211yescharacteristic, complemented
155#10622553C2211yescharacteristic, complemented
156#10622552C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic11C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622541C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic, complemented
173#10622279C2211yescharacteristic, complemented
174#10622279C2211yescharacteristic, complemented
175#10622279C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11—42no—
195C23×C4×C11—42no—
196C23×C4×C11—42no—
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C22×C22⋊D11—42no—
205C22×C22⋊D11—42no—
206C22×C22⋊D11C2×C418yescomplemented
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C2×D4×D11—42no—
220C2×D4×D11—42no—
221C2×D4×D11C2×C418yescomplemented
222C22×D44C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C11×#120C2×C418yescomplemented
229C4×D4×C11—42no—
230C4×D4×C11—42no—
231C4×D4×C11—42no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250#67006C2×C418yescomplemented
251C2×C22⋊Dic11—42no—
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270#66991C2×C418yescomplemented
271#66991C2×C418yescomplemented
272#66990C2×C418yescomplemented
273#66990C2×C418yescomplemented
274#66988C2×C418yescomplemented
275D4×Dic11—42no—
276C4×C22⋊D11—42no—
277C4×C22⋊D11—42no—
278C4×C22⋊D11—42no—
279C2×(C2×D11)⋊C4—42no—
280C2×(C2×D11)⋊C4—42no—
281C2×(C2×D11)⋊C4—42no—
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338#66945—42no—
339#66939C2×C418yescomplemented
340#66937C2×C418yescomplemented
341#66937C2×C418yescomplemented
342#66936C2×C418yescomplemented
343#66936C2×C418yescomplemented
344(C22⋊D11)⋊C4—42no—
345C22⋊C4×D11—42no—
346C22⋊C4×D11C2×C418yescomplemented
347#66930—42no—
348#66930—42no—
349#66925—42no—
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34407—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11—41no—
388C24×C11—41no—
389C24×C11C22×C414yes—
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11C22×C414yes—
407C23×D11C22×C414yescomplemented
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11C22×C414yes—
418C2×D4×C11C22×C414yes—
419C2×D4×C11C22×C414yes—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—416no—
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—416no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11C22×C414yes—
471C2×C22⋊D11C22×C414yes—
472C2×C22⋊D11C22×C414yes—
473C2×C22⋊D11C22×C414yes—
474C2×C22⋊D11C22×C414yes—
475C2×C22⋊D11C22×C414yes—
476C2×C22⋊D11C22×C414yes—
477C2×C22⋊D11C22×C414yescomplemented
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11C22×C414yes—
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503D4×D11—416no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44C22×C414yescomplemented
507C2×C4×D11—22no—
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—41no—
519C2×C4×D11C22×C414yescomplemented
520C2×C4×D11C22×C414yescomplemented
521C2×C4×D11C22×C414yescomplemented
522C11×C4⋊C4—22no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4C22×C414yes—
535C11×C22⋊C4C22×C414yes—
536C11×C22⋊C4C22×C414yes—
537C42×C11—22no—
538C42×C11—41no—
539C42×C11—41no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11C22×C414yes—
554C22⋊Dic11C22×C414yes—
555C22⋊Dic11C22×C414yes—
556C22⋊Dic11C22×C414yescomplemented
557C22⋊Dic11C22×C414yescomplemented
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—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4C22×C414yescomplemented
581(C2×D11)⋊C4C22×C414yescomplemented
582(C2×D11)⋊C4C22×C414yescomplemented
583(C2×D11)⋊C4C22×C414yescomplemented
584C4⋊Dic11—41no—
585C4⋊Dic11—41no—
586C4⋊Dic11—41no—
587C4⋊Dic11C22×C414yescomplemented
588C4⋊Dic11C22×C414yescomplemented
589Dic11⋊C4—22no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4C22×C414yescomplemented
600Dic11⋊C4C22×C414yescomplemented
601C4×Dic11—22no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608C4×Dic11—41no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C4×Dic11—41no—
614C2×#534—111no—
615#2377—111no—
616#2377—111no—
617#2376—111no—
618#2375—111no—
619#2374—111no—
620#2363—111no—
621#2363—111no—
622#2359—111no—
623#2359—111no—
624#2359—111no—
625#2359—111no—
626#2358—111no—
627#2342—111no—
628#2342—111no—
629D4×C22⋊C4—111no—
630D4×C22⋊C4—111no—
631#2335—111no—
632#2335—111no—
633#2333—111no—
634#2333—111no—
635#2324—111no—
636#2324—111no—
637#2321—111no—
638#2321—111no—
639#2321—111no—
640#2321—111no—
641#2309—111no—
642C4×#120—111no—
643C4×#120D1111yescharacteristic, complemented
644C2×#386—111no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—28no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—44no—
669C23×C11—44no—
670C23×C11—44no—
671C23×C11—44no—
672C23×C11—44no—
673C23×C11—44no—
674C23×C11C23×C412yes—
675C23×C11C23×C412yes—
676C23×C11C23×C412yes—
677C23×C11C23×C412yes—
678C23×C11H(5,𝔽2)12yes—
679C23×C11H(5,𝔽2)12yes—
680C23×C11C2511yescharacteristic
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—28no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—82no—
706C22×D11—82no—
707C22×D11—82no—
708C22×D11—82no—
709C22×D11—82no—
710C22×D11—82no—
711C22×D11—82no—
712C22×D11—82no—
713C22×D11C23×C412yes—
714C22×D11C23×C412yes—
715C22×D11C23×C412yes—
716D4×C11—28no—
717D4×C11—44no—
718D4×C11—44no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—44no—
748C2×C4×C11—44no—
749C2×C4×C11—44no—
750C2×C4×C11—44no—
751C2×C4×C11—44no—
752C2×C4×C11—44no—
753C2×C4×C11—82no—
754C2×C4×C11C23×C412yes—
755C2×C4×C11C23×C412yes—
756C2×C4×C11C23×C412yes—
757C2×C4×C11H(5,𝔽2)12yes—
758C2×C4×C11H(5,𝔽2)12yes—
759C22⋊D11—28no—
760C22⋊D11—44no—
761C22⋊D11—44no—
762C22⋊D11—44no—
763C22⋊D11—44no—
764C22⋊D11—44no—
765C22⋊D11—44no—
766C22⋊D11—44no—
767C2×Dic11—28no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—82no—
803C2×Dic11—82no—
804C2×Dic11—82no—
805C2×Dic11C23×C412yes—
806C2×Dic11C23×C412yes—
807C2×Dic11C23×C412yes—
808C2×Dic11C23×C412yes—
809C2×Dic11C23×C412yes—
810D44—44no—
811C4×D11—44no—
812C4×D11—44no—
813C4×D11—44no—
814C4×D11—82no—
815C4×D11—82no—
816C23×D4—111no—
817C23×D4—111no—
818C24×C4C2×D1111yescharacteristic, complemented
819#534—1116no—
820C2×#123—111no—
821C2×#123—111no—
822C2×#123—111no—
823C2×#123—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121—111no—
828C2×#120—111no—
829C2×#120—111no—
830C2×#120—111no—
831C2×#120C2×D1111yescharacteristic
832C2×C4×D4—111no—
833C2×C4×D4—111no—
834C2×C4×D4—111no—
835C2×C4×D4—111no—
836C2×C4×D4—111no—
837C2×C4×D4C2×D1111yescharacteristic
838C2×C4×D4C2×D1111yescharacteristic, complemented
839C2×C4×D4C2×D1111yescharacteristic, complemented
840C2×#117—111no—
841C2×#117—111no—
842C2×#117—111no—
843C2×#117—111no—
844C22×C22⋊C4—111no—
845C22×C22⋊C4—111no—
846C22×C22⋊C4—111no—
847C22×C22⋊C4—111no—
848C22×C22⋊C4—111no—
849C22×C22⋊C4—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#390—111no—
865#390—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#387—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—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#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386C2×D1111yescharacteristic
924#386C2×D1111yescharacteristic, complemented
925#386C2×D1111yescharacteristic, complemented
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#385C2×D1111yescharacteristic, complemented
936#385C2×D1111yescharacteristic, complemented
937#385C2×D1111yescharacteristic, complemented
938#381—111no—
939#381—111no—
940#380—111no—
941#380—111no—
942#380—111no—
943#380—111no—
944#379—111no—
945#379—111no—
946#379—111no—
947#379—111no—
948#379—111no—
949#379C2×D1111yescharacteristic, complemented
950C4×C4⋊C4—111no—
951C4×C4⋊C4—111no—
952C4×C4⋊C4—111no—
953C4×C4⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4—111no—
957C4×C22⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4C2×D1111yescharacteristic, complemented
968C4×C22⋊C4C2×D1111yescharacteristic, complemented
969C4×C22⋊C4C2×D1111yescharacteristic, complemented
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—22no—
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—22no—
986C22×C11—22no—
987C22×C11—416no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11#51814yes—
1001C22×C11C24×C411yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11C2×H(5,𝔽2)11yescharacteristic
1006C22×C11#58511yescharacteristic
1007C22×C11#58511yescharacteristic
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—88no—
1030C2×D11—88no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—22no—
1035C4×C11—22no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—22no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055C25—111no—
1056C25—111no—
1057C25C22×D1111yescharacteristic
1058C22×D4—111no—
1059C22×D4—118no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—118no—
1068C22×D4—111no—
1069C22×D4—442no—
1070C22×D4—442no—
1071C22×D4—442no—
1072C22×D4—442no—
1073C22×D4C22×D1111yescharacteristic
1074C22×D4C22×D1111yescharacteristic
1075C22×D4C22×D1111yescharacteristic
1076C23×C4—42no—
1077C23×C4—42no—
1078C23×C4—42no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091C23×C4C22×D1111yescharacteristic
1092C23×C4C22×D1111yescharacteristic
1093C23×C4C22×D1111yescharacteristic
1094C23×C4C22×D1111yescharacteristic
1095#123—118no—
1096#123—118no—
1097#123—118no—
1098#123—118no—
1099#121—118no—
1100#121—118no—
1101#121—118no—
1102#121—118no—
1103#120—118no—
1104#120—118no—
1105#120—118no—
1106#120C4×D1118yescomplemented
1107C4×D4—42no—
1108C4×D4—42no—
1109C4×D4—42no—
1110C4×D4—442no—
1111C4×D4—442no—
1112C4×D4—442no—
1113C4×D4—442no—
1114C4×D4—442no—
1115#117—442no—
1116#117—442no—
1117#117—442no—
1118#117—442no—
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—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4C22×D1111yescharacteristic
1137C2×C4⋊C4C22×D1111yescharacteristic
1138C2×C4⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—118no—
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—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—442no—
1185C2×C22⋊C4—442no—
1186C2×C22⋊C4—442no—
1187C2×C22⋊C4—442no—
1188C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C42—111no—
1202C2×C42—111no—
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42—111no—
1208C2×C42—111no—
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42—111no—
1214C2×C42C22×D1111yescharacteristic
1215C2×C42C22×D1111yescharacteristic
1216C2×C42C22×D1111yescharacteristic
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#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95C22×D1111yescharacteristic
1244#95C22×D1111yescharacteristic
1245#95C22×D1111yescharacteristic
1246#95C22×D1111yescharacteristic
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249C2×C11—24no—
1250C2×C11—42no—
1251C2×C11—42no—
1252C2×C11—42no—
1253C2×C11C2×#51811yescharacteristic
1254C2×C11C4×H(5,𝔽2)11yescharacteristic
1255C2×C11C4×H(5,𝔽2)11yescharacteristic
1256C2×C11#353211yescharacteristic
1257C2×C11#353311yescharacteristic
1258C2×C11#354211yescharacteristic
1259C2×C11#354211yescharacteristic
1260D11—42no—
1261D11—42no—
1262D11—42no—
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—111no—
1270C24—111no—
1271C24—111no—
1272C24—114no—
1273C24—114no—
1274C24—222no—
1275C24—222no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24—441no—
1280C24—441no—
1281C24—441no—
1282C24—441no—
1283C24—441no—
1284C24—441no—
1285C24—441no—
1286C24C2×C4×D1114yes—
1287C24C23×D1111yescharacteristic
1288C24C23×D1111yescharacteristic
1289C24C23×D1111yescharacteristic
1290C24C23×D1111yescharacteristic
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—114no—
1298C2×D4—114no—
1299C2×D4—114no—
1300C2×D4—114no—
1301C2×D4—114no—
1302C2×D4—114no—
1303C2×D4—114no—
1304C2×D4—114no—
1305C2×D4—114no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—441no—
1309C2×D4—441no—
1310C2×D4—441no—
1311C2×D4—441no—
1312C2×D4—4416no—
1313C2×D4—441no—
1314C2×D4—441no—
1315C2×D4—441no—
1316C2×D4—441no—
1317C2×D4—441no—
1318C2×D4—441no—
1319C2×D4—441no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—4416no—
1326C2×D4C2×C4×D1114yes—
1327C2×D4C2×C4×D1114yes—
1328C2×D4C2×C4×D1114yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—416no—
1351C22×C4—114no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—114no—
1358C22×C4—114no—
1359C22×C4—114no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—441no—
1374C22×C4—441no—
1375C22×C4—441no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4C23×D1111yescharacteristic
1392C22×C4C23×D1111yescharacteristic
1393C22×C4C23×D1111yescharacteristic
1394C22×C4C23×D1111yescharacteristic
1395C22×C4C23×D1111yescharacteristic
1396C22×C4C23×D1111yescharacteristic
1397C22×C4C23×D1111yescharacteristic
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C4⋊C4—22no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—114no—
1406C4⋊C4—114no—
1407C4⋊C4—114no—
1408C4⋊C4—114no—
1409C4⋊C4—222no—
1410C4⋊C4—441no—
1411C4⋊C4—441no—
1412C4⋊C4—441no—
1413C4⋊C4—441no—
1414C4⋊C4—441no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C4⋊C4—441no—
1419C4⋊C4—441no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—114no—
1432C22⋊C4—114no—
1433C22⋊C4—114no—
1434C22⋊C4—114no—
1435C22⋊C4—114no—
1436C22⋊C4—114no—
1437C22⋊C4—114no—
1438C22⋊C4—114no—
1439C22⋊C4—114no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
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⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4C2×C4×D1114yes—
1476C22⋊C4C2×C4×D1114yes—
1477C22⋊C4C2×C4×D1114yes—
1478C42—22no—
1479C42—41no—
1480C42—41no—
1481C42—222no—
1482C42—441no—
1483C42—441no—
1484C42—441no—
1485C42—441no—
1486C42—441no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C42—441no—
1492C42—441no—
1493C42—441no—
1494C11#3440711yescharacteristic, complemented, Sylow
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—28no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—112no—
1525C23—112no—
1526C23—112no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—228no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—882no—
1552C23—882no—
1553C23—882no—
1554C23—882no—
1555C23—882no—
1556C23—882no—
1557C23—882no—
1558C23—882no—
1559C23C22×C4×D1112yes—
1560C23C22×C4×D1112yes—
1561C23C22×C4×D1112yes—
1562C23C22×C4×D1112yes—
1563C23#6703712yes—
1564C23#6704212yes—
1565C23C24×D1111yescharacteristic
1566D4—28no—
1567D4—44no—
1568D4—44no—
1569D4—228no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—444no—
1576D4—444no—
1577D4—444no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—82no—
1613C2×C4—112no—
1614C2×C4—112no—
1615C2×C4—112no—
1616C2×C4—112no—
1617C2×C4—112no—
1618C2×C4—228no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—444no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4—882no—
1660C2×C4—882no—
1661C2×C4C22×C4×D1112yes—
1662C2×C4C22×C4×D1112yes—
1663C2×C4C22×C4×D1112yes—
1664C2×C4#6703712yes—
1665C2×C4#6703712yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—416no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—222no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—888no—
1716C22—888no—
1717C22#1062307614yes—
1718C22C23×C4×D1111yescharacteristic
1719C22C2×#6703711yescharacteristic
1720C22C2×#6703711yescharacteristic
1721C22C2×#6703711yescharacteristic
1722C22C2×#6704211yescharacteristic
1723C22#1062345311yescharacteristic
1724C22#1062345311yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—222no—
1737C4—222no—
1738C4—222no—
1739C4—222no—
1740C4—222no—
1741C4—441no—
1742C4—441no—
1743C4—441no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C2—24no—
1750C2—42no—
1751C2—42no—
1752C2—42no—
1753C2—442no—
1754C2—442no—
1755C2—442no—
1756C2C2×#1062307611yescharacteristic
1757C2C4×#6703711yescharacteristic
1758C2C4×#6703711yescharacteristic
1759C2#1308277111yescharacteristic
1760C2#1308278011yescharacteristic
1761C2#1308292411yescharacteristic
1762C2#1308293211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC4×C11×#120C2
socle, cosocleC23×C11C25
prime radicalC2×#10623120C2
hypercenterC4×#120D11
hypocenterC11#34407
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. #13071772C2semidirect
3. #13071768C2semidirect
4. #13071765C2semidirect
5. #13071754C2semidirect
6. #13071750C2semidirect
7. #13071655C2semidirect
8. #13071650C2semidirect
9. #13071614C2semidirect
10. #13071610C2semidirect
11. #13071606C2semidirect
12. #13071602C2semidirect
13. #13071593C2semidirect
14. #13071463C2semidirect
15. #13071459C2semidirect
16. #13071434C2semidirect
17. D4×(C2×D11)⋊C4C2semidirect
18. #13071408C2semidirect
19. #13071401C2semidirect
20. #13071377C2semidirect
21. #13071376C2semidirect
22. #13071308C2semidirect
23. #13071303C2semidirect
24. #13071277C2semidirect
25. #13071272C2semidirect
26. #13071271C2semidirect
27. #13071270C2semidirect
28. #13071197C2semidirect
29. C4×#67006C2semidirect
30. C2×#10622826C2semidirect
31. C4×C11×#120C2semidirect
32. C24×C4×C11C22semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C4×D4×C11C22semidirect
40. C22×C22⋊Dic11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C2×C4×C22⋊D11C22semidirect
52. C22×(C2×D11)⋊C4C22semidirect
53. #10623120C4semidirect
54. C2×#66945C22semidirect
62. C2×C22⋊C4×D11C22semidirect
63. C2×#66930C22semidirect
64. C2×#66930C22semidirect
65. C2×#66925C22semidirect
67. C11×#386C22semidirect
68. C11×#386C22semidirect
69. C11×#385C22semidirect
70. C11×#385C22semidirect
71. C11×#385C22semidirect
72. C11×#379C22semidirect
73. C4×C11×C22⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
76. #10622860C22semidirect
77. #10622834C22semidirect
78. #10622834C22semidirect
80. #10622833C22semidirect
81. #10622833C22semidirect
87. #10622826C22semidirect
88. #10622826C22semidirect
89. #10622826C22semidirect
90. #10622826C22semidirect
91. #10622826C22semidirect
92. #10622826C22semidirect
93. #10622826C22semidirect
94. #10622823C22semidirect
95. #10622823C22semidirect
96. #10622823C22semidirect
97. #10622823C22semidirect
98. C4×C22⋊Dic11C22semidirect
99. C4×C22⋊Dic11C22semidirect
100. C4×C22⋊Dic11C22semidirect
101. C4×C22⋊Dic11C22semidirect
102. C2×C11⋊#95C22semidirect
103. C2×C11⋊#95C22semidirect
104. #10622603C22semidirect
105. #10622603C22semidirect
106. #10622603C22semidirect
107. #10622602C22semidirect
108. #10622601C22semidirect
109. #10622600C22semidirect
110. #10622600C22semidirect
111. #10622591C22semidirect
112. C4⋊C4×Dic11C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
116. #10622571C22semidirect
121. #10622570C22semidirect
122. #10622570C22semidirect
123. #10622570C22semidirect
124. #10622570C22semidirect
125. #10622570C22semidirect
126. #10622570C22semidirect
127. #10622570C22semidirect
128. #10622570C22semidirect
129. #10622569C22semidirect
130. #10622569C22semidirect
133. #10622568C22semidirect
134. #10622568C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
137. #10622564C22semidirect
138. #10622564C22semidirect
139. #10622563C22semidirect
140. #10622559C22semidirect
141. #10622559C22semidirect
142. #10622558C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622557C22semidirect
147. #10622557C22semidirect
148. #10622557C22semidirect
149. #10622557C22semidirect
150. C22⋊C4×Dic11C22semidirect
151. C22⋊C4×Dic11C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. #10622553C22semidirect
154. #10622553C22semidirect
155. #10622553C22semidirect
156. #10622552C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×(C2×D11)⋊C4C22semidirect
160. C4×C4⋊Dic11C22semidirect
161. #10622546C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622541C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622283C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
170. #10622281C22semidirect
171. #10622280C22semidirect
172. #10622280C22semidirect
173. #10622279C22semidirect
174. #10622279C22semidirect
175. #10622279C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622277C22semidirect
179. #10622277C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
206. C22×C22⋊D11C2×C4semidirect
221. C2×D4×D11C2×C4semidirect
228. C11×#120C2×C4semidirect
250. #67006C2×C4semidirect
270. #66991C2×C4semidirect
271. #66991C2×C4semidirect
272. #66990C2×C4semidirect
273. #66990C2×C4semidirect
274. #66988C2×C4semidirect
339. #66939C2×C4semidirect
340. #66937C2×C4semidirect
341. #66937C2×C4semidirect
342. #66936C2×C4semidirect
343. #66936C2×C4semidirect
346. C22⋊C4×D11C2×C4semidirect
407. C23×D11C22×C4semidirect
477. C2×C22⋊D11C22×C4semidirect
506. C2×D44C22×C4semidirect
519. C2×C4×D11C22×C4semidirect
520. C2×C4×D11C22×C4semidirect
521. C2×C4×D11C22×C4semidirect
556. C22⋊Dic11C22×C4semidirect
557. C22⋊Dic11C22×C4semidirect
580. (C2×D11)⋊C4C22×C4semidirect
581. (C2×D11)⋊C4C22×C4semidirect
582. (C2×D11)⋊C4C22×C4semidirect
583. (C2×D11)⋊C4C22×C4semidirect
587. C4⋊Dic11C22×C4semidirect
588. C4⋊Dic11C22×C4semidirect
599. Dic11⋊C4C22×C4semidirect
600. Dic11⋊C4C22×C4semidirect
643. C4×#120D11semidirect
818. C24×C4C2×D11semidirect
838. C2×C4×D4C2×D11semidirect
839. C2×C4×D4C2×D11semidirect
924. #386C2×D11semidirect
925. #386C2×D11semidirect
935. #385C2×D11semidirect
936. #385C2×D11semidirect
937. #385C2×D11semidirect
949. #379C2×D11semidirect
967. C4×C22⋊C4C2×D11semidirect
968. C4×C22⋊C4C2×D11semidirect
969. C4×C22⋊C4C2×D11semidirect
1106. #120C4×D11semidirect
1494. C11#34407semidirect

Maximal subgroups

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

subgroupindex
C2×#106231202
#130717722
#130717682
#130717652
#130717542
#130717502
#130716552
#130716502
#130716142
#130716102
#130716062
#130716022
#130715932
#130714632
#130714592
#130714342
D4×(C2×D11)⋊C42
#130714082
#130714012
#130713772
#130713762
#130713082
#130713032
#130712772
#130712722
#130712712
#130712702
#130711972
C4×#670062
C2×#106228262
C4×C11×#1202
#3440711