Finite Group Databasebeta

← #14914626

Subgroups — #14914626

Order 2816.

2430 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623180C211yesmaximal, characteristic
2#13071713C211yesmaximal, characteristic, complemented
3#13071707C211yesmaximal, characteristic, complemented
4#13071688C211yesmaximal, characteristic, complemented
5#13071682C211yesmaximal, characteristic, complemented
6#13071612C211yesmaximal, characteristic, complemented
7#13071608C211yesmaximal, characteristic, complemented
8#13071604C211yesmaximal, characteristic, complemented
9#13071570C211yesmaximal, characteristic, complemented
10#13071562C211yesmaximal, characteristic, complemented
11#13071543C211yesmaximal, characteristic, complemented
12#13071539C211yesmaximal, characteristic, complemented
13#13071530C211yesmaximal, characteristic, complemented
14#13071514C211yesmaximal, characteristic, complemented
15#13071514C211yesmaximal, characteristic, complemented
16D4×Dic11⋊C4C211yesmaximal, characteristic, complemented
17#13071398C211yesmaximal, characteristic, complemented
18#13071394C211yesmaximal, characteristic, complemented
19#13071390C211yesmaximal, characteristic, complemented
20#13071386C211yesmaximal, characteristic, complemented
21#13071222C211yesmaximal, characteristic, complemented
22#13071220C211yesmaximal, characteristic, complemented
23#13071148C211yesmaximal, characteristic, complemented
24C4×#66931C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic
26C4×#66992C211yesmaximal, characteristic
27#13071019C211yesmaximal, characteristic, complemented
28#13070971C211yesmaximal, characteristic, complemented
29#13070970C211yesmaximal, characteristic, complemented
30C2×#10622262C211yesmaximal, characteristic, complemented
31C11×#2359C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66979C2211yescharacteristic
42C22×Dic11⋊C4C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48#10623180C4116yescomplemented
49C2×#66951C2211yescharacteristic
50C2×#66945C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66942C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×#66940C2211yescharacteristic
55C2×#66938C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×(C22⋊D11)⋊C4C2211yescharacteristic
60C2×#66932C2211yescharacteristic
61C2×#66931C2211yescharacteristic
62C2×#66930C2211yescharacteristic
63C2×#66930C2211yescharacteristic
64C2×#66925C2211yescharacteristic
65C2×C4×Dic22C2211yescharacteristic
66C11×#389C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#388C2211yescharacteristic
69C11×#387C2211yescharacteristic
70C11×#387C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#385C2211yescharacteristic
73C11×#385C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C2×C11×#95C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622823C2211yescharacteristic
81#10622823C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C2×C11⋊#95C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622598C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622590C2211yescharacteristic
95#10622590C2211yescharacteristic
96#10622589C2211yescharacteristic
97#10622589C2211yescharacteristic
98#10622589C2211yescharacteristic
99#10622589C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102#10622586C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622563C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622559C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622555C2211yescharacteristic
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622555C2211yescharacteristic
125#10622555C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135#10622546C2211yescharacteristic
136#10622546C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622263C2211yescharacteristic
167#10622263C2211yescharacteristic
168#10622262C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C11×#123C2×C418yescomplemented
206C4×D4×C11—42no—
207C11×#117—42no—
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66992C2×C418yes—
237D4×Dic11—42no—
238D4×Dic11C2×C418yescomplemented
239#66982C2×C418yescomplemented
240C4×C22⋊D11—42no—
241C4×C22⋊D11—42no—
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252#66979—42no—
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×Dic11⋊C4—24no—
261C2×Dic11⋊C4—24no—
262C2×Dic11⋊C4—24no—
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×C4×Dic11—42no—
292C2×C4×Dic11—42no—
293C2×C4×Dic11C2×C418yescomplemented
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×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319#66951C2×C418yescomplemented
320#66945C2×C418yescomplemented
321C4⋊C4×D11—24no—
322#66942C2×C418yescomplemented
323#66940—42no—
324#66940C2×C418yescomplemented
325#66938C2×C418yescomplemented
326(C22⋊D11)⋊C4—42no—
327(C22⋊D11)⋊C4—42no—
328(C22⋊D11)⋊C4C2×C418yescomplemented
329(C22⋊D11)⋊C4C2×C418yescomplemented
330#66932C2×C418yescomplemented
331#66931C2×C418yescomplemented
332#66930—24no—
333#66930C2×C418yescomplemented
334#66925—24no—
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#34243—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11C22×C414yes—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11C22×C414yes—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11C22×C414yes—
430C22×Dic11C22×C414yes—
431C22×Dic11C22×C414yes—
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11C22×C414yes—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22C22×C414yes—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4C22×C414yes—
472C11×C22⋊C4C22×C414yes—
473C11×C22⋊C4C22×C414yes—
474C42×C11—22no—
475C42×C11—41no—
476C42×C11—41no—
477C42×C11—41no—
478C42×C11—41no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11C22×C414yes—
485C22⋊Dic11C22×C414yes—
486C22⋊Dic11C22×C414yes—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496(C2×D11)⋊C4C22×C414yes—
497C4⋊Dic11—22no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11C22×C414yes—
503C4⋊Dic11C22×C414yes—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4C22×C414yes—
525Dic11⋊C4C22×C414yes—
526Dic11⋊C4C22×C414yes—
527Dic11⋊C4C22×C414yes—
528Dic11⋊C4C22×C414yes—
529Dic11⋊C4C22×C414yes—
530Dic11⋊C4#4114yes—
531Dic11⋊C4#4114yes—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11C22×C414yes—
552C4×Dic11C22×C414yes—
553C4×Dic11C22×C414yes—
554C4×Dic11C22×C414yes—
555C4×Dic11C22×C414yes—
556C4×Dic11C22×C414yes—
557C2×#529—111no—
558#2370—111no—
559#2370—111no—
560#2367—111no—
561#2367—111no—
562#2359—111no—
563#2359—111no—
564#2359—111no—
565#2359D1111yescharacteristic, complemented
566#2355—111no—
567#2354—111no—
568#2352—111no—
569#2352—111no—
570Q8×C4⋊C4—111no—
571D4×C4⋊C4—111no—
572D4×C4⋊C4—111no—
573D4×C4⋊C4—111no—
574#2334—111no—
575#2334—111no—
576#2334—111no—
577#2334—111no—
578#2314—111no—
579#2314—111no—
580C4×C22⋊Q8—111no—
581C4×C22⋊Q8—111no—
582C4×#121—111no—
583C4×#121—111no—
584#2285—111no—
585#2274—111no—
586#2274—111no—
587C2×C4×C4⋊C4—111no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11C23×C412yes—
599C23×C11C23×C412yes—
600C23×C11H(5,𝔽2)12yes—
601C23×C112−1+412yes—
602C23×C11C2511yescharacteristic
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11C23×C412yes—
610D4×C11—28no—
611C2×C4×C11—28no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—44no—
645C2×C4×C11—44no—
646C2×C4×C11—82no—
647C2×C4×C11C23×C412yes—
648C2×C4×C11C23×C412yes—
649C2×C4×C11C23×C412yes—
650C2×C4×C11C23×C412yes—
651C2×C4×C11C23×C412yes—
652C2×C4×C11C2×#4112yes—
653C2×C4×C11C2×#4112yes—
654C22⋊D11—28no—
655C22⋊D11—28no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—28no—
671C2×Dic11—28no—
672C2×Dic11—28no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—44no—
692C2×Dic11—44no—
693C2×Dic11—82no—
694C2×Dic11C23×C412yes—
695C2×Dic11C23×C412yes—
696C2×Dic11C23×C412yes—
697C2×Dic11C23×C412yes—
698C2×Dic11C23×C412yes—
699C2×Dic11C23×C412yes—
700C2×Dic11C23×C412yes—
701C2×Dic11C2×#4112yes—
702C2×Dic11C2×#4112yes—
703C2×Dic11C2×#4112yes—
704C2×Dic11C2×#4112yes—
705C2×Dic11H(5,𝔽2)12yes—
706C2×Dic112−1+412yes—
707C4×D11—28no—
708C4×D11—82no—
709C4×D11—82no—
710Dic22—28no—
711#529—1116no—
712C2×#126—111no—
713C2×#126—111no—
714C2×#125—111no—
715C2×#124—111no—
716C2×#123—111no—
717C2×#123C2×D1111yescharacteristic
718C2×C22⋊Q8—111no—
719C2×#121—111no—
720C2×C4×Q8—111no—
721C2×C4×Q8—111no—
722C2×C4×Q8—111no—
723C2×C4×D4—111no—
724C2×C4×D4—111no—
725C2×C4×D4—111no—
726C2×C4×D4—111no—
727C2×C4×D4—111no—
728C2×C4×D4—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4C2×D1111yescharacteristic
732C2×#117—111no—
733C2×#117—111no—
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117C2×D1111yescharacteristic
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C4⋊C4—111no—
741C22×C4⋊C4—111no—
742C22×C42—111no—
743C22×C42—111no—
744C22×C42—111no—
745#391—111no—
746#391—111no—
747#390—111no—
748#390—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389C2×D1111yescharacteristic
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388C2×D1111yescharacteristic
776#388C2×D1111yescharacteristic
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387C2×D1111yescharacteristic
792#387C2×D1111yescharacteristic
793#386—111no—
794#386—111no—
795#386—111no—
796#386C2×D1111yescharacteristic
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385C2×D1111yescharacteristic
808#385C2×D1111yescharacteristic
809#384—111no—
810#384—111no—
811#384—111no—
812#384—111no—
813#382—111no—
814#382—111no—
815#382—111no—
816#382—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4C2×D1111yescharacteristic
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4C2×D1111yescharacteristic
864C4×C22⋊C4C2×D1111yescharacteristic
865C2×#95—111no—
866C2×#95C2×D1111yescharacteristic
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11#52014yes—
881C22×C11C24×C411yescharacteristic
882C22×C11C22×#4111yescharacteristic
883C22×C11C22×#4111yescharacteristic
884C22×C11C2×H(5,𝔽2)11yescharacteristic
885C22×C11C2×H(5,𝔽2)11yescharacteristic
886C22×C11C2×2−1+411yescharacteristic
887C22×C11C2×2−1+411yescharacteristic
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—22no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908Dic11—22no—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—22no—
913Dic11—22no—
914Dic11—22no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11C4×#4114yes—
922Dic11#52014yes—
923C22×Q8—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4C22×D1111yescharacteristic
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4C22×D1111yescharacteristic
937C23×C4C22×D1111yescharacteristic
938C23×C4C22×D1111yescharacteristic
939C23×C4C22×D1111yescharacteristic
940#126—118no—
941#126—118no—
942#125—118no—
943#124—118no—
944#123—118no—
945#123C4×D1118yescomplemented
946C22⋊Q8—118no—
947#121—118no—
948C4×Q8—118no—
949C4×Q8—442no—
950C4×Q8—442no—
951C4×D4—42no—
952C4×D4—118no—
953C4×D4—118no—
954C4×D4—118no—
955C4×D4—442no—
956C4×D4—442no—
957C4×D4—442no—
958C4×D4—442no—
959C4×D4—442no—
960#117—42no—
961#117—118no—
962#117—118no—
963#117—224no—
964#117—224no—
965#117—442no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—224no—
1002C2×C4⋊C4—224no—
1003C2×C4⋊C4—224no—
1004C2×C4⋊C4—224no—
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C42—118no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—442no—
1065C2×C42—442no—
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111C2×C11—24no—
1112C2×C11—42no—
1113C2×C11C2×C4×#4111yescharacteristic
1114C2×C11C2×#52011yescharacteristic
1115C2×C11C2×#52011yescharacteristic
1116C2×C11#351911yescharacteristic
1117C2×C11#352011yescharacteristic
1118C2×C11#352211yescharacteristic
1119C2×C11#352311yescharacteristic
1120D11—42no—
1121C24—111no—
1122C24C23×D1111yescharacteristic
1123C24C23×D1111yescharacteristic
1124C2×Q8—114no—
1125C2×Q8—222no—
1126C2×Q8—222no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—114no—
1130C2×D4—114no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4C2×C4×D1114yes—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—114no—
1150C22×C4—114no—
1151C22×C4—114no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—114no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4C2×C4×D1114yes—
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—114no—
1209C4⋊C4—114no—
1210C4⋊C4—114no—
1211C4⋊C4—114no—
1212C4⋊C4—114no—
1213C4⋊C4—114no—
1214C4⋊C4—114no—
1215C4⋊C4—114no—
1216C4⋊C4—114no—
1217C4⋊C4—114no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—222no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4C2×C4×D1114yes—
1244C4⋊C4C2×C4×D1114yes—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—114no—
1251C22⋊C4—114no—
1252C22⋊C4—114no—
1253C22⋊C4—114no—
1254C22⋊C4—114no—
1255C22⋊C4—114no—
1256C22⋊C4—114no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4C2×C4×D1114yes—
1269C22⋊C4C2×C4×D1114yes—
1270C22⋊C4C2×C4×D1114yes—
1271C42—22no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—114no—
1277C42—114no—
1278C42—114no—
1279C42—114no—
1280C42—114no—
1281C42—114no—
1282C42—222no—
1283C42—222no—
1284C42—222no—
1285C42—222no—
1286C42—222no—
1287C42—222no—
1288C42—222no—
1289C42—441no—
1290C42—441no—
1291C42—441no—
1292C42—441no—
1293C42—441no—
1294C42—441no—
1295C42—441no—
1296C42—441no—
1297C42—441no—
1298C42—441no—
1299C42—441no—
1300C42—441no—
1301C11#3424311yescharacteristic, complemented, Sylow
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—112no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—221no—
1319C23C22×C4×D1112yes—
1320C23C22×C4×D1112yes—
1321C23#6703712yes—
1322C23#6704312yes—
1323C23C24×D1111yescharacteristic
1324Q8—228no—
1325D4—28no—
1326D4—228no—
1327D4—228no—
1328C2×C4—28no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—44no—
1362C2×C4—44no—
1363C2×C4—82no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—112no—
1368C2×C4—112no—
1369C2×C4—112no—
1370C2×C4—112no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—112no—
1375C2×C4—112no—
1376C2×C4—112no—
1377C2×C4—228no—
1378C2×C4—228no—
1379C2×C4—228no—
1380C2×C4—228no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4—882no—
1416C2×C4—882no—
1417C2×C4—882no—
1418C2×C4C22×C4×D1112yes—
1419C2×C4C22×C4×D1112yes—
1420C2×C4C22×C4×D1112yes—
1421C2×C4C22×C4×D1112yes—
1422C2×C4C22×C4×D1112yes—
1423C2×C4#41×D1112yes—
1424C2×C4#41×D1112yes—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—222no—
1439C22—222no—
1440C22—222no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22#1062307714yes—
1446C22C23×C4×D1111yescharacteristic
1447C22C2×#6703711yescharacteristic
1448C22C2×#41×D1111yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22C2×#6704311yescharacteristic
1451C22D11×H(5,𝔽2)11yescharacteristic
1452C22D11×2−1+411yescharacteristic
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—114no—
1467C4—114no—
1468C4—222no—
1469C4—222no—
1470C4—222no—
1471C4—222no—
1472C4—222no—
1473C4—222no—
1474C4—222no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—24no—
1482C2—42no—
1483C2—442no—
1484C2C4×#41×D1111yescharacteristic
1485C2D11×#52011yescharacteristic
1486C2C2×#1062307711yescharacteristic
1487C2#1308263711yescharacteristic
1488C2#1308265411yescharacteristic
1489C2#1308269411yescharacteristic
1490C2#1308270511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2359C2
socle, cosocleC23×C11C25
prime radicalC2×#66992C22
hypercenter#2359D11
hypocenterC11#34243
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #13071713C2semidirect
3. #13071707C2semidirect
4. #13071688C2semidirect
5. #13071682C2semidirect
6. #13071612C2semidirect
7. #13071608C2semidirect
8. #13071604C2semidirect
9. #13071570C2semidirect
10. #13071562C2semidirect
11. #13071543C2semidirect
12. #13071539C2semidirect
13. #13071530C2semidirect
14. #13071514C2semidirect
15. #13071514C2semidirect
16. D4×Dic11⋊C4C2semidirect
17. #13071398C2semidirect
18. #13071394C2semidirect
19. #13071390C2semidirect
20. #13071386C2semidirect
21. #13071222C2semidirect
22. #13071220C2semidirect
23. #13071148C2semidirect
24. C4×#66931C2semidirect
27. #13071019C2semidirect
28. #13070971C2semidirect
29. #13070970C2semidirect
30. C2×#10622262C2semidirect
31. C11×#2359C2semidirect
48. #10623180C4semidirect
205. C11×#123C2×C4semidirect
238. D4×Dic11C2×C4semidirect
239. #66982C2×C4semidirect
293. C2×C4×Dic11C2×C4semidirect
319. #66951C2×C4semidirect
320. #66945C2×C4semidirect
322. #66942C2×C4semidirect
324. #66940C2×C4semidirect
325. #66938C2×C4semidirect
328. (C22⋊D11)⋊C4C2×C4semidirect
329. (C22⋊D11)⋊C4C2×C4semidirect
330. #66932C2×C4semidirect
331. #66931C2×C4semidirect
333. #66930C2×C4semidirect
565. #2359D11semidirect
945. #123C4×D11semidirect
1301. C11#34243semidirect

Maximal subgroups

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

subgroupindex
C2×#106231802
#130717132
#130717072
#130716882
#130716822
#130716122
#130716082
#130716042
#130715702
#130715622
#130715432
#130715392
#130715302
#130715142
D4×Dic11⋊C42
#130713982
#130713942
#130713902
#130713862
#130712222
#130712202
#130711482
C4×#669312
#130711262
C4×#669922
#130710192
#130709712
#130709702
C2×#106222622
C11×#23592
#3424311