Finite Group Databasebeta

← #14917305

Subgroups — #14917305

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C211yesmaximal, characteristic
2#13071806C211yesmaximal, characteristic, complemented
3#13071785C211yesmaximal, characteristic, complemented
4#13071774C211yesmaximal, characteristic, complemented
5#13071762C211yesmaximal, characteristic, complemented
6#13071742C211yesmaximal, characteristic, complemented
7#13071696C211yesmaximal, characteristic, complemented
8#13071688C211yesmaximal, characteristic, complemented
9#13071636C211yesmaximal, characteristic, complemented
10#13071627C211yesmaximal, characteristic, complemented
11#13071619C211yesmaximal, characteristic, complemented
12#13071610C211yesmaximal, characteristic, complemented
13#13071554C211yesmaximal, characteristic, complemented
14#13071543C211yesmaximal, characteristic, complemented
15#13071521C211yesmaximal, characteristic, complemented
16D4×Dic11⋊C4C211yesmaximal, characteristic, complemented
17#13071424C211yesmaximal, characteristic, complemented
18#13071411C211yesmaximal, characteristic, complemented
19#13071397C211yesmaximal, characteristic, complemented
20#13071394C211yesmaximal, characteristic, complemented
21#13071325C211yesmaximal, characteristic, complemented
22#13071317C211yesmaximal, characteristic, complemented
23#13071306C211yesmaximal, characteristic, complemented
24#13071287C211yesmaximal, characteristic, complemented
25#13071279C211yesmaximal, characteristic, complemented
26#13071270C211yesmaximal, characteristic, complemented
27#13071211C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2364C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66990C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C22×(C2×D11)⋊C4C2211yescharacteristic
48C22×(C2×D11)⋊C4C2211yescharacteristic
49C22×C4⋊Dic11C2211yescharacteristic
50C2×#66977C2211yescharacteristic
51C22×Dic11⋊C4C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic, complemented
53#10623148C4116yescomplemented
54C2×#66951C2211yescharacteristic
55C2×#66951C2211yescharacteristic
56C2×#66939C2211yescharacteristic
57C2×#66939C2211yescharacteristic
58C2×#66938C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×#66930C2211yescharacteristic, complemented
63C2×C4×Dic22C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic, complemented
71C11×#386C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C2×C11×#95C2211yescharacteristic
76#10622834C2211yescharacteristic, complemented
77#10622833C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622823C2211yescharacteristic
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic, complemented
84#10622823C2211yescharacteristic, complemented
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C2×C11⋊#95C2211yescharacteristic
89C2×C11⋊#95C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622598C2211yescharacteristic, complemented
95#10622590C2211yescharacteristic, complemented
96#10622589C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622586C2211yescharacteristic, complemented
99#10622586C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622564C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic, complemented
114#10622563C2211yescharacteristic, complemented
115#10622563C2211yescharacteristic, complemented
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic, complemented
119#10622559C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622558C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622557C2211yescharacteristic, complemented
124#10622556C2211yescharacteristic, complemented
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic, complemented
128#10622555C2211yescharacteristic, complemented
129#10622555C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622553C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic, complemented
142C4×Dic11⋊C4C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144#10622542C2211yescharacteristic, complemented
145#10622541C2211yescharacteristic, complemented
146#10622541C2211yescharacteristic, complemented
147#10622541C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622268C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622264C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C22×C4×D11—42no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C11×#121C2×C418yescomplemented
217C4×D4×C11—42no—
218C4×D4×C11—42no—
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248#66992C2×C418yescomplemented
249#66992C2×C418yescomplemented
250#66990C2×C418yescomplemented
251#66990C2×C418yescomplemented
252D4×Dic11—42no—
253D4×Dic11—42no—
254D4×Dic11—42no—
255D4×Dic11C2×C418yescomplemented
256D4×Dic11C2×C418yescomplemented
257C4×C22⋊D11—42no—
258C4×C22⋊D11—42no—
259C2×(C2×D11)⋊C4—42no—
260C2×(C2×D11)⋊C4C2×C418yescomplemented
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×C4⋊Dic11—42no—
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291#66977C2×C418yescomplemented
292C2×Dic11⋊C4—42no—
293C2×Dic11⋊C4—42no—
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326#66951C2×C418yescomplemented
327#66951C2×C418yescomplemented
328#66939C2×C418yescomplemented
329#66939C2×C418yescomplemented
330#66938C2×C418yescomplemented
331#66938C2×C418yescomplemented
332(C22⋊D11)⋊C4—42no—
333(C22⋊D11)⋊C4—42no—
334#66930—42no—
335C4×Dic22—42no—
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
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
376#34416—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11C22×C414yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11C22×C414yes—
396C2×D4×C11C22×C414yes—
397C2×D4×C11C22×C414yescomplemented
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11C22×C414yes—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11C22×C414yes—
434C2×C22⋊D11C22×C414yes—
435C2×C22⋊D11C22×C414yes—
436C2×C22⋊D11C22×C414yes—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11C22×C414yes—
456C22×Dic11C22×C414yescomplemented
457C22×Dic11C22×C414yescomplemented
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—416no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22C22×C414yescomplemented
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4C22×C414yescomplemented
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4C22×C414yescomplemented
500C11×C22⋊C4C22×C414yescomplemented
501C42×C11—41no—
502C42×C11—41no—
503C42×C11—41no—
504C42×C11—41no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11C22×C414yes—
514C22⋊Dic11C22×C414yes—
515C22⋊Dic11C22×C414yescomplemented
516C22⋊Dic11C22×C414yescomplemented
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4C22×C414yes—
530(C2×D11)⋊C4C22×C414yes—
531(C2×D11)⋊C4C22×C414yes—
532(C2×D11)⋊C4C22×C414yes—
533(C2×D11)⋊C4C22×C414yes—
534(C2×D11)⋊C4C22×C414yes—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537C4⋊Dic11—22no—
538C4⋊Dic11—22no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11C22×C414yescomplemented
544C4⋊Dic11C22×C414yescomplemented
545C4⋊Dic11C22×C414yescomplemented
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4C22×C414yescomplemented
563Dic11⋊C4C22×C414yescomplemented
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2383—111no—
580#2379—111no—
581#2377—111no—
582#2376—111no—
583#2373—111no—
584#2368—111no—
585#2367—111no—
586#2364D1111yescharacteristic, complemented
587#2361—111no—
588#2361—111no—
589#2360—111no—
590#2359—111no—
591#2353—111no—
592#2352—111no—
593#2349—111no—
594D4×C4⋊C4—111no—
595#2337—111no—
596#2335—111no—
597#2334—111no—
598#2334—111no—
599#2326—111no—
600#2325—111no—
601#2324—111no—
602#2322—111no—
603#2321—111no—
604#2321—111no—
605#2312—111no—
606C4×#120—111no—
607C4×#120—111no—
608C2×#385—111no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11C23×C412yes—
626C23×C11C23×C412yes—
627C23×C11C23×C412yes—
628C23×C11H(5,𝔽2)12yes—
629C23×C112−1+412yes—
630C23×C11C2511yescharacteristic
631C22×D11—28no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11C23×C412yes—
651C22×D11C23×C412yes—
652D4×C11—28no—
653D4×C11—28no—
654D4×C11—44no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11—82no—
689C2×C4×C11—82no—
690C2×C4×C11—82no—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11C23×C412yes—
694C2×C4×C11C23×C412yes—
695C2×C4×C11H(5,𝔽2)12yes—
696C22⋊D11—44no—
697C22⋊D11—44no—
698C22⋊D11—44no—
699C22⋊D11—44no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—44no—
736C2×Dic11—44no—
737C2×Dic11—44no—
738C2×Dic11—44no—
739C2×Dic11—82no—
740C2×Dic11—82no—
741C2×Dic11—82no—
742C2×Dic11C23×C412yes—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C23×C412yes—
747C2×Dic11C23×C412yes—
748C2×Dic11H(5,𝔽2)12yes—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753Dic22—44no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126—111no—
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121C2×D1111yescharacteristic
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4C2×D1111yescharacteristic
779C2×C4×D4C2×D1111yescharacteristic
780C2×#117—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388C2×D1111yescharacteristic, complemented
825#388C2×D1111yescharacteristic, complemented
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387C2×D1111yescharacteristic, complemented
837#387C2×D1111yescharacteristic, complemented
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386C2×D1111yescharacteristic
849#386C2×D1111yescharacteristic
850#386C2×D1111yescharacteristic, complemented
851#386C2×D1111yescharacteristic, complemented
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#384—111no—
875#383—111no—
876#382—111no—
877#382—111no—
878#381—111no—
879#380—111no—
880#380—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#379—111no—
885#379—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4C2×D1111yescharacteristic
904C4×C22⋊C4C2×D1111yescharacteristic, complemented
905C4×C22⋊C4C2×D1111yescharacteristic, complemented
906#376—111no—
907C2×#95—111no—
908C2×#95—111no—
909C2×#95C2×D1111yescharacteristic
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11#52014yes—
931C22×C11C24×C411yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×2−1+411yescharacteristic
936C22×C11#58511yescharacteristic
937C22×C11#58511yescharacteristic
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—416no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—22no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C25—111no—
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—442no—
1000C23×C4—442no—
1001C23×C4—442no—
1002C23×C4C22×D1111yescharacteristic
1003C23×C4C22×D1111yescharacteristic
1004C23×C4C22×D1111yescharacteristic
1005C23×C4C22×D1111yescharacteristic
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126—118no—
1009#124—118no—
1010#124—118no—
1011#123—118no—
1012#123—118no—
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121C4×D1118yescomplemented
1017#120—118no—
1018#120—118no—
1019C4×Q8—442no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—118no—
1023C4×D4—118no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—442no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4—442no—
1031#117—442no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—442no—
1060C2×C4⋊C4—442no—
1061C2×C4⋊C4—442no—
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—118no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—442no—
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C42—111no—
1110C2×C42—111no—
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42—111no—
1115C2×C42—111no—
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—24no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11C2×#52011yescharacteristic
1171C2×C11C4×H(5,𝔽2)11yescharacteristic
1172C2×C11C4×H(5,𝔽2)11yescharacteristic
1173C2×C11#353211yescharacteristic
1174C2×C11#353311yescharacteristic
1175C2×C11#354111yescharacteristic
1176C2×C11#354111yescharacteristic
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—114no—
1182C24—222no—
1183C24—222no—
1184C24—441no—
1185C24—441no—
1186C24—441no—
1187C24—441no—
1188C24C23×D1111yescharacteristic
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C2×Q8—114no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—114no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4C2×C4×D1114yes—
1213C2×D4C2×C4×D1114yes—
1214C2×D4C2×C4×D1114yescomplemented
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—114no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—4416no—
1263C22×C4—441no—
1264C22×C4—441no—
1265C22×C4—441no—
1266C22×C4—441no—
1267C22×C4—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4C2×C4×D1114yes—
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—114no—
1293C4⋊C4—114no—
1294C4⋊C4—114no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4C2×C4×D1114yescomplemented
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—114no—
1329C22⋊C4—114no—
1330C22⋊C4—114no—
1331C22⋊C4—114no—
1332C22⋊C4—114no—
1333C22⋊C4—114no—
1334C22⋊C4—114no—
1335C22⋊C4—114no—
1336C22⋊C4—114no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
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—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4C2×C4×D1114yescomplemented
1361C22⋊C4C2×C4×D1114yescomplemented
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—114no—
1367C42—114no—
1368C42—222no—
1369C42—222no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C11#3441611yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—112no—
1398C23—112no—
1399C23—228no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—444no—
1413C23—444no—
1414C23—444no—
1415C23—444no—
1416C23—444no—
1417C23—444no—
1418C23C22×C4×D1112yes—
1419C23C22×C4×D1112yes—
1420C23C22×C4×D1112yes—
1421C23#6703712yes—
1422C23#6704312yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425D4—28no—
1426D4—28no—
1427D4—44no—
1428D4—444no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—444no—
1518C2×C4—882no—
1519C2×C4—882no—
1520C2×C4—882no—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4C22×C4×D1112yes—
1524C2×C4C22×C4×D1112yes—
1525C2×C4#6704212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—222no—
1550C22—222no—
1551C22—222no—
1552C22—4416no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22#1062307714yes—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#6703711yescharacteristic
1564C22C2×#6704211yescharacteristic
1565C22C2×#6704311yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22#1062345511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—222no—
1582C4—222no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—222no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—442no—
1599C2—442no—
1600C2C2×#1062307711yescharacteristic
1601C2#1308182011yescharacteristic
1602C2C4×#6704211yescharacteristic
1603C2#1308276511yescharacteristic
1604C2#1308277511yescharacteristic
1605C2#1308289411yescharacteristic
1606C2#1308290311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2364C2
socle, cosocleC23×C11C25
prime radicalC2×#10623148C2
hypercenter#2364D11
hypocenterC11#34416
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. #13071806C2semidirect
3. #13071785C2semidirect
4. #13071774C2semidirect
5. #13071762C2semidirect
6. #13071742C2semidirect
7. #13071696C2semidirect
8. #13071688C2semidirect
9. #13071636C2semidirect
10. #13071627C2semidirect
11. #13071619C2semidirect
12. #13071610C2semidirect
13. #13071554C2semidirect
14. #13071543C2semidirect
15. #13071521C2semidirect
16. D4×Dic11⋊C4C2semidirect
17. #13071424C2semidirect
18. #13071411C2semidirect
19. #13071397C2semidirect
20. #13071394C2semidirect
21. #13071325C2semidirect
22. #13071317C2semidirect
23. #13071306C2semidirect
24. #13071287C2semidirect
25. #13071279C2semidirect
26. #13071270C2semidirect
27. #13071211C2semidirect
28. #13071121C2semidirect
29. C4×#66990C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2364C2semidirect
44. C2×D4×Dic11C22semidirect
52. C22×Dic11⋊C4C22semidirect
53. #10623148C4semidirect
62. C2×#66930C22semidirect
63. C2×C4×Dic22C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
70. C11×#386C22semidirect
71. C11×#386C22semidirect
73. C4×C11×C22⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
76. #10622834C22semidirect
83. #10622823C22semidirect
84. #10622823C22semidirect
89. C2×C11⋊#95C22semidirect
94. #10622598C22semidirect
95. #10622590C22semidirect
96. #10622589C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622586C22semidirect
99. #10622586C22semidirect
112. #10622564C22semidirect
113. #10622564C22semidirect
114. #10622563C22semidirect
115. #10622563C22semidirect
118. #10622559C22semidirect
119. #10622559C22semidirect
120. #10622558C22semidirect
121. #10622558C22semidirect
122. #10622557C22semidirect
123. #10622557C22semidirect
124. #10622556C22semidirect
127. #10622555C22semidirect
128. #10622555C22semidirect
129. #10622555C22semidirect
132. C22⋊C4×Dic11C22semidirect
141. C4×C4⋊Dic11C22semidirect
142. C4×Dic11⋊C4C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. #10622542C22semidirect
145. #10622541C22semidirect
146. #10622541C22semidirect
147. #10622541C22semidirect
168. #10622268C22semidirect
169. #10622268C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622266C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622264C22semidirect
179. #10622263C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
216. C11×#121C2×C4semidirect
248. #66992C2×C4semidirect
249. #66992C2×C4semidirect
250. #66990C2×C4semidirect
251. #66990C2×C4semidirect
255. D4×Dic11C2×C4semidirect
256. D4×Dic11C2×C4semidirect
260. C2×(C2×D11)⋊C4C2×C4semidirect
291. #66977C2×C4semidirect
326. #66951C2×C4semidirect
327. #66951C2×C4semidirect
328. #66939C2×C4semidirect
329. #66939C2×C4semidirect
330. #66938C2×C4semidirect
331. #66938C2×C4semidirect
397. C2×D4×C11C22×C4semidirect
456. C22×Dic11C22×C4semidirect
457. C22×Dic11C22×C4semidirect
487. C2×Dic22C22×C4semidirect
490. C11×C4⋊C4C22×C4semidirect
499. C11×C22⋊C4C22×C4semidirect
500. C11×C22⋊C4C22×C4semidirect
515. C22⋊Dic11C22×C4semidirect
516. C22⋊Dic11C22×C4semidirect
543. C4⋊Dic11C22×C4semidirect
544. C4⋊Dic11C22×C4semidirect
545. C4⋊Dic11C22×C4semidirect
562. Dic11⋊C4C22×C4semidirect
563. Dic11⋊C4C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
586. #2364D11semidirect
824. #388C2×D11semidirect
825. #388C2×D11semidirect
836. #387C2×D11semidirect
837. #387C2×D11semidirect
850. #386C2×D11semidirect
851. #386C2×D11semidirect
904. C4×C22⋊C4C2×D11semidirect
905. C4×C22⋊C4C2×D11semidirect
1016. #121C4×D11semidirect
1214. C2×D4C2×C4×D11semidirect
1319. C4⋊C4C2×C4×D11semidirect
1360. C22⋊C4C2×C4×D11semidirect
1361. C22⋊C4C2×C4×D11semidirect
1380. C11#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#106231482
#130718062
#130717852
#130717742
#130717622
#130717422
#130716962
#130716882
#130716362
#130716272
#130716192
#130716102
#130715542
#130715432
#130715212
D4×Dic11⋊C42
#130714242
#130714112
#130713972
#130713942
#130713252
#130713172
#130713062
#130712872
#130712792
#130712702
#130712112
#130711212
C4×#669902
C2×#106222812
C11×#23642
#3441611