Finite Group Databasebeta

← #14918294

Subgroups — #14918294

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623085C211yesmaximal, characteristic
2#13071787C211yesmaximal, characteristic, complemented
3#13071775C211yesmaximal, characteristic, complemented
4#13071771C211yesmaximal, characteristic, complemented
5#13071762C211yesmaximal, characteristic, complemented
6#13071698C211yesmaximal, characteristic, complemented
7#13071630C211yesmaximal, characteristic, complemented
8#13071606C211yesmaximal, characteristic, complemented
9#13071594C211yesmaximal, characteristic, complemented
10#13071592C211yesmaximal, characteristic, complemented
11#13071545C211yesmaximal, characteristic, complemented
12#13071524C211yesmaximal, characteristic, complemented
13#13071468C211yesmaximal, characteristic, complemented
14#13071458C211yesmaximal, characteristic, complemented
15#13071442C211yesmaximal, characteristic, complemented
16#13071434C211yesmaximal, characteristic, complemented
17#13071426C211yesmaximal, characteristic, complemented
18#13071411C211yesmaximal, characteristic, complemented
19#13071345C211yesmaximal, characteristic, complemented
20#13071319C211yesmaximal, characteristic, complemented
21#13071315C211yesmaximal, characteristic, complemented
22#13071305C211yesmaximal, characteristic, complemented
23#13071284C211yesmaximal, characteristic, complemented
24#13071269C211yesmaximal, characteristic, complemented
25#13071247C211yesmaximal, characteristic, complemented
26#13071229C211yesmaximal, characteristic, complemented
27#13071203C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2318C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic, complemented
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C2×#66979C2211yescharacteristic, complemented
44C22×C4⋊Dic11C2211yescharacteristic, complemented
45C22×Dic11⋊C4C2211yescharacteristic, complemented
46#10623085C4116yescomplemented
47C2×#66950C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66946C2211yescharacteristic, complemented
52C2×#66939C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×#66935C2211yescharacteristic
55C2×#66935C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×#66930C2211yescharacteristic, complemented
63C2×#66928C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#385C2211yescharacteristic, complemented
73C11×#385C2211yescharacteristic, complemented
74C11×#383C2211yescharacteristic, complemented
75C11×#382C2211yescharacteristic, complemented
76C11×#381C2211yescharacteristic, complemented
77C11×#380C2211yescharacteristic, complemented
78C4×C11×C22⋊C4C2211yescharacteristic, complemented
79C2×C11×#95C2211yescharacteristic, complemented
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic, complemented
84#10622825C2211yescharacteristic, complemented
85#10622825C2211yescharacteristic, complemented
86C2×C11⋊#95C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic, complemented
92#10622602C2211yescharacteristic, complemented
93#10622602C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic, complemented
95#10622601C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622586C2211yescharacteristic, complemented
101#10622586C2211yescharacteristic, complemented
102#10622571C2211yescharacteristic
103#10622571C2211yescharacteristic, complemented
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic, complemented
107#10622570C2211yescharacteristic, complemented
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic, complemented
111#10622569C2211yescharacteristic, complemented
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622564C2211yescharacteristic, complemented
115#10622564C2211yescharacteristic, complemented
116#10622556C2211yescharacteristic, complemented
117#10622555C2211yescharacteristic, complemented
118#10622555C2211yescharacteristic, complemented
119#10622555C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic, complemented
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122C22⋊C4×Dic11C2211yescharacteristic, complemented
123#10622553C2211yescharacteristic, complemented
124#10622553C2211yescharacteristic, complemented
125#10622552C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622549C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130C4×C4⋊Dic11C2211yescharacteristic, complemented
131#10622541C2211yescharacteristic, complemented
132#10622283C2211yescharacteristic, complemented
133#10622283C2211yescharacteristic, complemented
134#10622283C2211yescharacteristic, complemented
135#10622283C2211yescharacteristic, complemented
136#10622283C2211yescharacteristic, complemented
137#10622283C2211yescharacteristic, complemented
138#10622282C2211yescharacteristic, complemented
139#10622282C2211yescharacteristic, complemented
140#10622282C2211yescharacteristic, complemented
141#10622282C2211yescharacteristic, complemented
142#10622281C2211yescharacteristic
143#10622281C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic, complemented
158#10622280C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C2×#4341—42no—
204C2×#4341—42no—
205C2×#4341C2×C418yescomplemented
206C2×D4×D11—42no—
207C2×D4×D11—42no—
208C2×D4×D11C2×C418yescomplemented
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×C4×D11—42no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C4×D4×C11C2×C418yescomplemented
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#66983C2×C418yescomplemented
253#66983C2×C418yescomplemented
254C4×C22⋊D11—42no—
255C4×C22⋊D11—42no—
256C2×(C2×D11)⋊C4—42no—
257C2×(C2×D11)⋊C4C2×C418yescomplemented
258C2×(C2×D11)⋊C4C2×C418yescomplemented
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
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
291#66979—42no—
292C2×C4⋊Dic11—42no—
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×Dic11⋊C4—42no—
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×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
323#66950C2×C418yescomplemented
324#66948C2×C418yescomplemented
325#66946—42no—
326#66946—42no—
327#66946—42no—
328#66939C2×C418yescomplemented
329#66939C2×C418yescomplemented
330#66935C2×C418yescomplemented
331#66935C2×C418yescomplemented
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4—42no—
334C22⋊C4×D11—42no—
335C22⋊C4×D11—42no—
336C22⋊C4×D11—42no—
337C22⋊C4×D11—42no—
338#66930—42no—
339#66928C2×C418yescomplemented
340C4×D44—42no—
341C4×D44C2×C418yescomplemented
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34456—111nomaximal, Sylow
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C23×D11—22no—
386C23×D11—22no—
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11C22×C414yes—
398C23×D11C22×C414yes—
399C23×D11C2411yescharacteristic
400C23×D11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11C22×C414yes—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11C22×C414yes—
417C22×C4×C11C22×C414yescomplemented
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11C22×C414yes—
440C2×C22⋊D11C22×C414yes—
441C2×C22⋊D11C22×C414yes—
442C2×C22⋊D11C22×C414yescomplemented
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11C22×C414yes—
454C22×Dic11C22×C414yescomplemented
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467#4341—416no—
468D4×D11—416no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—41no—
472C2×D44—41no—
473C2×D44—41no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44C22×C414yes—
478C2×D44C22×C414yes—
479C2×D44C22×C414yes—
480C2×D44C22×C414yescomplemented
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—41no—
497C2×C4×D11—41no—
498C2×C4×D11—41no—
499C2×C4×D11—41no—
500C2×C4×D11—41no—
501C2×C4×D11—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—416no—
516C2×C4×D11C22×C414yes—
517C2×C4×D11C22×C414yescomplemented
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C4⋊C4—41no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C4⋊C4C22×C414yescomplemented
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⋊C4C22×C414yes—
533C11×C22⋊C4C22×C414yescomplemented
534C42×C11—41no—
535C42×C11—41no—
536C42×C11C22×C414yescomplemented
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4C22×C414yes—
566(C2×D11)⋊C4C22×C414yes—
567(C2×D11)⋊C4C22×C414yes—
568(C2×D11)⋊C4C22×C414yes—
569(C2×D11)⋊C4C22×C414yes—
570(C2×D11)⋊C4C22×C414yes—
571(C2×D11)⋊C4C22×C414yescomplemented
572(C2×D11)⋊C4C22×C414yescomplemented
573(C2×D11)⋊C4C22×C414yescomplemented
574(C2×D11)⋊C4C22×C414yescomplemented
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—41no—
578C4⋊Dic11—41no—
579C4⋊Dic11—41no—
580C4⋊Dic11—41no—
581C4⋊Dic11C22×C414yescomplemented
582C4⋊Dic11C22×C414yescomplemented
583C4⋊Dic11C22×C414yescomplemented
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594C4×Dic11—22no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11—41no—
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318D1111yescharacteristic, complemented
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386—111no—
634C2×#385—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11C23×C412yes—
646C23×C11C23×C412yes—
647C23×C11H(5,𝔽2)12yes—
648C23×C11H(5,𝔽2)12yes—
649C23×C11C2511yescharacteristic
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—28no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—28no—
674C22×D11—28no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11—44no—
678C22×D11—44no—
679C22×D11—44no—
680C22×D11—44no—
681C22×D11—44no—
682C22×D11—82no—
683C22×D11—82no—
684C22×D11—82no—
685C22×D11—82no—
686C22×D11C23×C412yes—
687C22×D11C23×C412yes—
688C22×D11C23×C412yes—
689C22×D11C23×C412yes—
690C22×D11H(5,𝔽2)12yes—
691C22×D112−1+412yes—
692D4×C11—28no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—82no—
731C2×C4×C11C23×C412yes—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C2×C4×C11C23×C412yes—
735C2×C4×C11C23×C412yes—
736C22⋊D11—28no—
737C22⋊D11—28no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C2×Dic11—28no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—44no—
773C2×Dic11—44no—
774C2×Dic11—82no—
775C2×Dic11C23×C412yes—
776C2×Dic11C23×C412yes—
777C2×Dic11C23×C412yes—
778C2×Dic11C23×C412yes—
779C2×Dic11H(5,𝔽2)12yes—
780D44—28no—
781D44—44no—
782D44—44no—
783D44—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—44no—
790C4×D11—82no—
791C4×D11—82no—
792C4×D11—82no—
793C4×D11—82no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4—111no—
799C24×C4—111no—
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4C2×D1111yescharacteristic
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4—111no—
829C22×C22⋊C4—111no—
830C22×C22⋊C4—111no—
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
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#388C2×D1111yescharacteristic, complemented
862#388C2×D1111yescharacteristic, complemented
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387C2×D1111yescharacteristic, complemented
872#387C2×D1111yescharacteristic, complemented
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386C2×D1111yescharacteristic
894#386C2×D1111yescharacteristic
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385C2×D1111yescharacteristic, complemented
916#385C2×D1111yescharacteristic, complemented
917#383C2×D1111yescharacteristic, complemented
918#382—111no—
919#382C2×D1111yescharacteristic, complemented
920#381—111no—
921#381—111no—
922#381C2×D1111yescharacteristic, complemented
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380C2×D1111yescharacteristic, complemented
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4C2×D1111yescharacteristic, complemented
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95—111no—
952C2×#95C2×D1111yescharacteristic, complemented
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11#51814yes—
967C22×C11C24×C411yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×H(5,𝔽2)11yescharacteristic
970C22×C11C2×H(5,𝔽2)11yescharacteristic
971C22×C11C2×H(5,𝔽2)11yescharacteristic
972C22×C11C2×2−1+411yescharacteristic
973C22×C11#58511yescharacteristic
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—416no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C2×D11—41no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—88no—
1003C2×D11#52014yes—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25—111no—
1030C25—111no—
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—118no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—442no—
1045C22×D4—442no—
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—442no—
1064C23×C4—442no—
1065C23×C4—442no—
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8—118no—
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120—118no—
1079C4×D4—118no—
1080C4×D4—442no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4C4×D1118yescomplemented
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—442no—
1111C2×C4⋊C4—442no—
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C4⋊C4C22×D1111yescharacteristic
1115C2×C4⋊C4C22×D1111yescharacteristic
1116C2×C4⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4—118no—
1118C2×C22⋊C4—118no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
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—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—442no—
1158C2×C22⋊C4—442no—
1159C2×C22⋊C4—442no—
1160C2×C22⋊C4—442no—
1161C2×C22⋊C4—442no—
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42C22×D1111yescharacteristic
1181C2×C42C22×D1111yescharacteristic
1182C2×C42C22×D1111yescharacteristic
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211#95C22×D1111yescharacteristic
1212#95C22×D1111yescharacteristic
1213#95C22×D1111yescharacteristic
1214#95C22×D1111yescharacteristic
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—42no—
1225C2×C11C2×#51811yescharacteristic
1226C2×C11C2×#52011yescharacteristic
1227C2×C11C4×H(5,𝔽2)11yescharacteristic
1228C2×C11#353211yescharacteristic
1229C2×C11#353411yescharacteristic
1230C2×C11#353511yescharacteristic
1231C2×C11#353611yescharacteristic
1232D11—24no—
1233D11—42no—
1234D11—42no—
1235D11—42no—
1236C24—111no—
1237C24—111no—
1238C24—111no—
1239C24—111no—
1240C24—114no—
1241C24—114no—
1242C24—222no—
1243C24—222no—
1244C24—222no—
1245C24—222no—
1246C24—222no—
1247C24—222no—
1248C24—441no—
1249C24—441no—
1250C24—441no—
1251C24—441no—
1252C24—441no—
1253C24—441no—
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—114no—
1263C2×D4—114no—
1264C2×D4—114no—
1265C2×D4—114no—
1266C2×D4—114no—
1267C2×D4—114no—
1268C2×D4—114no—
1269C2×D4—114no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—4416no—
1287C2×D4C2×C4×D1114yes—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—114no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—111no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—114no—
1305C22×C4—114no—
1306C22×C4—114no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—441no—
1327C22×C4—441no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4—441no—
1332C22×C4—441no—
1333C22×C4—441no—
1334C22×C4—441no—
1335C22×C4—441no—
1336C22×C4—441no—
1337C22×C4—441no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—4416no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4C2×C4×D1114yes—
1360C22×C4C2×C4×D1114yescomplemented
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—114no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C4⋊C4C2×C4×D1114yescomplemented
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—114no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—114no—
1412C22⋊C4—114no—
1413C22⋊C4—114no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4C2×C4×D1114yes—
1443C22⋊C4C2×C4×D1114yescomplemented
1444C42—41no—
1445C42—41no—
1446C42—222no—
1447C42—441no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42C2×C4×D1114yescomplemented
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—112no—
1469C23—112no—
1470C23—112no—
1471C23—112no—
1472C23—112no—
1473C23—112no—
1474C23—228no—
1475C23—228no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—228no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
1497C23—221no—
1498C23—221no—
1499C23—444no—
1500C23—444no—
1501C23—444no—
1502C23—444no—
1503C23—444no—
1504C23—444no—
1505C23—444no—
1506C23—882no—
1507C23—882no—
1508C23—882no—
1509C23—882no—
1510C23C22×C4×D1112yes—
1511C23C22×C4×D1112yes—
1512C23#6704212yes—
1513C23#6704212yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—28no—
1517D4—228no—
1518D4—228no—
1519D4—228no—
1520D4—444no—
1521D4—444no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—228no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—444no—
1601C2×C4—444no—
1602C2×C4—444no—
1603C2×C4—444no—
1604C2×C4—444no—
1605C2×C4—444no—
1606C2×C4—444no—
1607C2×C4—444no—
1608C2×C4—882no—
1609C2×C4—882no—
1610C2×C4—882no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4—882no—
1614C2×C4—882no—
1615C2×C4C22×C4×D1112yes—
1616C2×C4C22×C4×D1112yes—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4C22×C4×D1112yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—114no—
1634C22—222no—
1635C22—222no—
1636C22—222no—
1637C22—222no—
1638C22—222no—
1639C22—222no—
1640C22—222no—
1641C22—222no—
1642C22—222no—
1643C22—222no—
1644C22—222no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—4416no—
1650C22—441no—
1651C22—441no—
1652C22—441no—
1653C22—441no—
1654C22—441no—
1655C22—441no—
1656C22—441no—
1657C22—441no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22—888no—
1663C22#1062305214yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6704211yescharacteristic
1666C22C2×#6704211yescharacteristic
1667C22D11×H(5,𝔽2)11yescharacteristic
1668C22D11×H(5,𝔽2)11yescharacteristic
1669C22#1062345511yescharacteristic
1670C22D11×2−1+411yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—42no—
1698C2—224no—
1699C2—442no—
1700C2—442no—
1701C2—442no—
1702C2C2×#1062305211yescharacteristic
1703C2D11×#52011yescharacteristic
1704C2#1308182011yescharacteristic
1705C2#1308276711yescharacteristic
1706C2#1308280711yescharacteristic
1707C2#1308282311yescharacteristic
1708C2#1308284011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2318C2
socle, cosocleC23×C11C25
prime radicalC2×#10623085C2
hypercenter#2318D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. #13071787C2semidirect
3. #13071775C2semidirect
4. #13071771C2semidirect
5. #13071762C2semidirect
6. #13071698C2semidirect
7. #13071630C2semidirect
8. #13071606C2semidirect
9. #13071594C2semidirect
10. #13071592C2semidirect
11. #13071545C2semidirect
12. #13071524C2semidirect
13. #13071468C2semidirect
14. #13071458C2semidirect
15. #13071442C2semidirect
16. #13071434C2semidirect
17. #13071426C2semidirect
18. #13071411C2semidirect
19. #13071345C2semidirect
20. #13071319C2semidirect
21. #13071315C2semidirect
22. #13071305C2semidirect
23. #13071284C2semidirect
24. #13071269C2semidirect
25. #13071247C2semidirect
26. #13071229C2semidirect
27. #13071203C2semidirect
28. #13071117C2semidirect
29. D11×#386C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2318C2semidirect
39. C2×C4×C22⋊D11C22semidirect
43. C2×#66979C22semidirect
44. C22×C4⋊Dic11C22semidirect
45. C22×Dic11⋊C4C22semidirect
46. #10623085C4semidirect
51. C2×#66946C22semidirect
57. C2×(C22⋊D11)⋊C4C22semidirect
62. C2×#66930C22semidirect
65. C2×C4×D44C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
72. C11×#385C22semidirect
73. C11×#385C22semidirect
74. C11×#383C22semidirect
75. C11×#382C22semidirect
76. C11×#381C22semidirect
77. C11×#380C22semidirect
78. C4×C11×C22⋊C4C22semidirect
79. C2×C11×#95C22semidirect
83. #10622826C22semidirect
84. #10622825C22semidirect
85. #10622825C22semidirect
86. C2×C11⋊#95C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622602C22semidirect
94. #10622602C22semidirect
95. #10622601C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. #10622586C22semidirect
100. #10622586C22semidirect
101. #10622586C22semidirect
103. #10622571C22semidirect
106. #10622570C22semidirect
107. #10622570C22semidirect
110. #10622569C22semidirect
111. #10622569C22semidirect
114. #10622564C22semidirect
115. #10622564C22semidirect
116. #10622556C22semidirect
117. #10622555C22semidirect
118. #10622555C22semidirect
119. #10622555C22semidirect
120. C22⋊C4×Dic11C22semidirect
121. C22⋊C4×Dic11C22semidirect
122. C22⋊C4×Dic11C22semidirect
123. #10622553C22semidirect
124. #10622553C22semidirect
125. #10622552C22semidirect
128. #10622549C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. C4×C4⋊Dic11C22semidirect
131. #10622541C22semidirect
132. #10622283C22semidirect
133. #10622283C22semidirect
134. #10622283C22semidirect
135. #10622283C22semidirect
136. #10622283C22semidirect
137. #10622283C22semidirect
138. #10622282C22semidirect
139. #10622282C22semidirect
140. #10622282C22semidirect
141. #10622282C22semidirect
148. #10622281C22semidirect
149. #10622281C22semidirect
150. #10622281C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622281C22semidirect
155. #10622281C22semidirect
157. #10622280C22semidirect
158. #10622280C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
170. #10622278C22semidirect
171. #10622278C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622277C22semidirect
177. D11×#95C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622266C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
205. C2×#4341C2×C4semidirect
208. C2×D4×D11C2×C4semidirect
229. C4×D4×C11C2×C4semidirect
252. #66983C2×C4semidirect
253. #66983C2×C4semidirect
257. C2×(C2×D11)⋊C4C2×C4semidirect
258. C2×(C2×D11)⋊C4C2×C4semidirect
323. #66950C2×C4semidirect
324. #66948C2×C4semidirect
328. #66939C2×C4semidirect
329. #66939C2×C4semidirect
330. #66935C2×C4semidirect
331. #66935C2×C4semidirect
339. #66928C2×C4semidirect
341. C4×D44C2×C4semidirect
417. C22×C4×C11C22×C4semidirect
442. C2×C22⋊D11C22×C4semidirect
454. C22×Dic11C22×C4semidirect
480. C2×D44C22×C4semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
525. C11×C4⋊C4C22×C4semidirect
533. C11×C22⋊C4C22×C4semidirect
536. C42×C11C22×C4semidirect
571. (C2×D11)⋊C4C22×C4semidirect
572. (C2×D11)⋊C4C22×C4semidirect
573. (C2×D11)⋊C4C22×C4semidirect
574. (C2×D11)⋊C4C22×C4semidirect
581. C4⋊Dic11C22×C4semidirect
582. C4⋊Dic11C22×C4semidirect
583. C4⋊Dic11C22×C4semidirect
629. #2318D11semidirect
861. #388C2×D11semidirect
862. #388C2×D11semidirect
871. #387C2×D11semidirect
872. #387C2×D11semidirect
915. #385C2×D11semidirect
916. #385C2×D11semidirect
917. #383C2×D11semidirect
919. #382C2×D11semidirect
922. #381C2×D11semidirect
931. #380C2×D11semidirect
947. C4×C22⋊C4C2×D11semidirect
952. C2×#95C2×D11semidirect
1088. C4×D4C4×D11semidirect
1360. C22×C4C2×C4×D11semidirect
1397. C4⋊C4C2×C4×D11semidirect
1443. C22⋊C4C2×C4×D11semidirect
1456. C42C2×C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106230852
#130717872
#130717752
#130717712
#130717622
#130716982
#130716302
#130716062
#130715942
#130715922
#130715452
#130715242
#130714682
#130714582
#130714422
#130714342
#130714262
#130714112
#130713452
#130713192
#130713152
#130713052
#130712842
#130712692
#130712472
#130712292
#130712032
#130711172
D11×#3862
C2×#106222812
C11×#23182
#3445611