Finite Group Databasebeta

← #14919897

Subgroups — #14919897

Order 2816.

2216 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623152C211yesmaximal, characteristic
2#13071800C211yesmaximal, characteristic, complemented
3#13071786C211yesmaximal, characteristic, complemented
4#13071785C211yesmaximal, characteristic, complemented
5#13071749C211yesmaximal, characteristic, complemented
6#13071747C211yesmaximal, characteristic, complemented
7#13071665C211yesmaximal, characteristic, complemented
8#13071664C211yesmaximal, characteristic, complemented
9#13071640C211yesmaximal, characteristic, complemented
10#13071638C211yesmaximal, characteristic, complemented
11#13071636C211yesmaximal, characteristic, complemented
12#13071627C211yesmaximal, characteristic, complemented
13#13071622C211yesmaximal, characteristic, complemented
14#13071619C211yesmaximal, characteristic, complemented
15#13071614C211yesmaximal, characteristic, complemented
16#13071609C211yesmaximal, characteristic, complemented
17#13071413C211yesmaximal, characteristic, complemented
18#13071403C211yesmaximal, characteristic, complemented
19#13071375C211yesmaximal, characteristic, complemented
20#13071369C211yesmaximal, characteristic, complemented
21#13071366C211yesmaximal, characteristic, complemented
22#13071344C211yesmaximal, characteristic, complemented
23#13071343C211yesmaximal, characteristic, complemented
24#13071312C211yesmaximal, characteristic, complemented
25#13071306C211yesmaximal, characteristic, complemented
26#13071290C211yesmaximal, characteristic, complemented
27#13071282C211yesmaximal, characteristic, complemented
28#13071173C211yesmaximal, characteristic, complemented
29#13071163C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2333C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66991C2211yescharacteristic
36C2×#66989C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C2×#66988C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C22×C4⋊Dic11C2211yescharacteristic
46C2×#66977C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48#10623152C4116yescomplemented
49C2×#66949C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66940C2211yescharacteristic
52C2×#66938C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66931C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66925C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#386C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#381C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74#10622834C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622598C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622590C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622571C2211yescharacteristic
93#10622571C2211yescharacteristic
94#10622571C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622563C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622559C2211yescharacteristic
107#10622559C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622556C2211yescharacteristic
125#10622555C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134#10622553C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic
138#10622546C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622546C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C42×Dic11C2211yescharacteristic
144#10622542C2211yescharacteristic
145#10622542C2211yescharacteristic
146#10622541C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#121C2×C418yescomplemented
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
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
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66992C2×C418yescomplemented
244#66992C2×C418yescomplemented
245#66991C2×C418yescomplemented
246#66989C2×C418yescomplemented
247#66988C2×C418yescomplemented
248#66988C2×C418yescomplemented
249D4×Dic11—42no—
250D4×Dic11—42no—
251D4×Dic11—42no—
252#66982C2×C418yescomplemented
253C4×C22⋊D11—42no—
254C4×C22⋊D11—42no—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×C4⋊Dic11—42no—
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273#66977C2×C418yescomplemented
274C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
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
315#66949C2×C418yescomplemented
316#66942C2×C418yescomplemented
317#66940—42no—
318#66938C2×C418yescomplemented
319#66936C2×C418yescomplemented
320(C22⋊D11)⋊C4—42no—
321#66931C2×C418yescomplemented
322#66931C2×C418yescomplemented
323#66930—42no—
324#66925—42no—
325C4×Dic22—42no—
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
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
370#34527—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11C22×C414yes—
382C2×D4×C11C22×C414yes—
383C2×D4×C11C22×C414yes—
384C22×C4×C11—22no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11C22×C414yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
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
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11C22×C414yes—
412C2×C22⋊D11C22×C414yes—
413C2×C22⋊D11C22×C414yes—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
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—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11C22×C414yes—
456C2×Dic22—41no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22C22×C414yes—
461C2×Dic22C22×C414yes—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4C22×C414yes—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4C22×C414yes—
476C11×C22⋊C4C22×C414yes—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11C22×C414yes—
490C22⋊Dic11C22×C414yes—
491C22⋊Dic11C22×C414yes—
492C22⋊Dic11C22×C414yes—
493C22⋊Dic11C22×C414yes—
494C22⋊Dic11C22×C414yes—
495C22⋊Dic11C22×C414yes—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4C22×C414yes—
503(C2×D11)⋊C4C22×C414yes—
504(C2×D11)⋊C4C22×C414yes—
505C4⋊Dic11—22no—
506C4⋊Dic11—22no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11C22×C414yes—
512C4⋊Dic11C22×C414yes—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4C22×C414yes—
528Dic11⋊C4C22×C414yes—
529Dic11⋊C4C22×C414yes—
530Dic11⋊C4C22×C414yes—
531Dic11⋊C4C22×C414yes—
532Dic11⋊C4C22×C414yes—
533Dic11⋊C4C22×C414yes—
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×Dic11—41no—
552C4×Dic11C22×C414yes—
553C2×#562—111no—
554#2382—111no—
555#2379—111no—
556#2379—111no—
557#2374—111no—
558#2374—111no—
559#2364—111no—
560#2364—111no—
561#2362—111no—
562#2362—111no—
563#2361—111no—
564#2361—111no—
565#2360—111no—
566#2360—111no—
567#2359—111no—
568#2359—111no—
569#2335—111no—
570#2335—111no—
571#2333—111no—
572#2333D1111yescharacteristic, complemented
573#2332—111no—
574#2332—111no—
575#2329—111no—
576#2329—111no—
577#2324—111no—
578#2324—111no—
579#2322—111no—
580#2322—111no—
581C4×#125—111no—
582C4×#124—111no—
583C4×#124—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
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×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11C23×C412yes—
603C23×C11C23×C412yes—
604C23×C11C23×C412yes—
605C23×C11C2511yescharacteristic
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11C23×C412yes—
613D4×C11—44no—
614D4×C11—44no—
615D4×C11—44no—
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—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—44no—
648C2×C4×C11—82no—
649C2×C4×C11—82no—
650C2×C4×C11C23×C412yes—
651C2×C4×C11C23×C412yes—
652C2×C4×C11C23×C412yes—
653C2×C4×C11C23×C412yes—
654C2×C4×C112−1+412yes—
655C22⋊D11—44no—
656C22⋊D11—44no—
657C22⋊D11—44no—
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—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
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—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—44no—
695C2×Dic11—44no—
696C2×Dic11—82no—
697C2×Dic11—82no—
698C2×Dic11—82no—
699C2×Dic11—82no—
700C2×Dic11C23×C412yes—
701C2×Dic11C23×C412yes—
702C2×Dic11C23×C412yes—
703C2×Dic11C23×C412yes—
704C2×Dic11C23×C412yes—
705C2×Dic11C23×C412yes—
706C2×Dic11C23×C412yes—
707C2×Dic11H(5,𝔽2)12yes—
708C2×Dic11H(5,𝔽2)12yes—
709C4×D11—44no—
710C4×D11—82no—
711C4×D11—82no—
712Dic22—44no—
713Dic22—44no—
714#562—1116no—
715C2×#125—111no—
716C2×#124—111no—
717C2×#124—111no—
718C2×#123—111no—
719C2×#123—111no—
720C2×#123—111no—
721C2×#123—111no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—111no—
726C2×#121—111no—
727C2×#121—111no—
728C2×#121—111no—
729C2×#121C2×D1111yescharacteristic
730C2×C4×Q8—111no—
731C2×C4×Q8—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×C4×D4—111no—
735C2×C4×D4—111no—
736C2×C4×D4—111no—
737C2×C4×D4—111no—
738C2×#117—111no—
739C2×#117—111no—
740C22×C4⋊C4—111no—
741C22×C4⋊C4—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391—111no—
747#391—111no—
748#390—111no—
749#390—111no—
750#390—111no—
751#390—111no—
752#390C2×D1111yescharacteristic
753#390C2×D1111yescharacteristic
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389—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#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388C2×D1111yescharacteristic
787#388C2×D1111yescharacteristic
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387C2×D1111yescharacteristic
807#387C2×D1111yescharacteristic
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386C2×D1111yescharacteristic
817#386C2×D1111yescharacteristic
818#386C2×D1111yescharacteristic
819#386C2×D1111yescharacteristic
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#382—111no—
833#382—111no—
834#382—111no—
835#381—111no—
836#381C2×D1111yescharacteristic
837#380—111no—
838#380—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×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
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⋊C4—111no—
864C4×C22⋊C4C2×D1111yescharacteristic
865C4×C22⋊C4C2×D1111yescharacteristic
866C4×C22⋊C4C2×D1111yescharacteristic
867C2×#95—111no—
868C2×#95—111no—
869C43—111no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11C24×C411yescharacteristic
892C22×C11C2×H(5,𝔽2)11yescharacteristic
893C22×C11C2×H(5,𝔽2)11yescharacteristic
894C22×C11C2×2−1+411yescharacteristic
895C22×C11#58511yescharacteristic
896C22×C11#58511yescharacteristic
897C22×C11#58511yescharacteristic
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—22no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C4×C11—22no—
906C4×C11—22no—
907C4×C11—22no—
908C4×C11—22no—
909C4×C11—22no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917Dic11—22no—
918Dic11—22no—
919Dic11—22no—
920Dic11—22no—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—22no—
925Dic11—22no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932C22×Q8—111no—
933C22×Q8—111no—
934C22×D4—111no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4C22×D1111yescharacteristic
938C22×D4C22×D1111yescharacteristic
939C22×D4C22×D1111yescharacteristic
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4C22×D1111yescharacteristic
950C23×C4C22×D1111yescharacteristic
951C23×C4C22×D1111yescharacteristic
952#125—118no—
953#124—118no—
954#124—118no—
955#123—118no—
956#123—118no—
957#123—118no—
958#123—118no—
959C22⋊Q8—118no—
960C22⋊Q8—118no—
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#121—118no—
964#121—118no—
965#121—118no—
966#121C4×D1118yescomplemented
967C4×Q8—442no—
968C4×Q8—442no—
969C4×D4—442no—
970C4×D4—442no—
971C4×D4—442no—
972C4×D4—442no—
973C4×D4—442no—
974C4×D4—442no—
975#117—442no—
976#117—442no—
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—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—442no—
1007C2×C4⋊C4—442no—
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4—111no—
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⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C22⋊C4C22×D1111yescharacteristic
1044C2×C22⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1065C2×C42—111no—
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070#95—111no—
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#95—111no—
1102#95—111no—
1103#95—111no—
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114C2×C11—42no—
1115C2×C11—42no—
1116C2×C11—42no—
1117C2×C11C4×H(5,𝔽2)11yescharacteristic
1118C2×C11C4×H(5,𝔽2)11yescharacteristic
1119C2×C11C4×2−1+411yescharacteristic
1120C2×C11#355811yescharacteristic
1121C2×C11#355911yescharacteristic
1122C2×C11#356111yescharacteristic
1123C2×C11#356711yescharacteristic
1124D11—42no—
1125C24—111no—
1126C24C23×D1111yescharacteristic
1127C24C23×D1111yescharacteristic
1128C24C23×D1111yescharacteristic
1129C2×Q8—114no—
1130C2×Q8—114no—
1131C2×Q8—441no—
1132C2×Q8—441no—
1133C2×Q8—441no—
1134C2×Q8—441no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—114no—
1142C2×D4—114no—
1143C2×D4—114no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C2×D4—441no—
1150C2×D4C2×C4×D1114yes—
1151C2×D4C2×C4×D1114yes—
1152C2×D4C2×C4×D1114yes—
1153C22×C4—22no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—114no—
1171C22×C4—114no—
1172C22×C4—114no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4C2×C4×D1114yes—
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—114no—
1219C4⋊C4—114no—
1220C4⋊C4—114no—
1221C4⋊C4—114no—
1222C4⋊C4—114no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
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⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4C2×C4×D1114yes—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—114no—
1259C22⋊C4—114no—
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—114no—
1263C22⋊C4—114no—
1264C22⋊C4—114no—
1265C22⋊C4—114no—
1266C22⋊C4—114no—
1267C22⋊C4—114no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4C2×C4×D1114yes—
1283C22⋊C4C2×C4×D1114yes—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—114no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—441no—
1295C42—441no—
1296C42—441no—
1297C42—441no—
1298C42—441no—
1299C42—441no—
1300C42—441no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C11#3452711yescharacteristic, complemented, Sylow
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—112no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23C22×C4×D1112yes—
1334C23C22×C4×D1112yes—
1335C23C22×C4×D1112yes—
1336C23C24×D1111yescharacteristic
1337Q8—444no—
1338Q8—444no—
1339D4—44no—
1340D4—44no—
1341D4—44no—
1342D4—444no—
1343D4—444no—
1344D4—444no—
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—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—112no—
1380C2×C4—112no—
1381C2×C4—112no—
1382C2×C4—112no—
1383C2×C4—112no—
1384C2×C4—112no—
1385C2×C4—112no—
1386C2×C4—112no—
1387C2×C4—112no—
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—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—444no—
1427C2×C4—882no—
1428C2×C4—882no—
1429C2×C4—882no—
1430C2×C4—882no—
1431C2×C4—882no—
1432C2×C4—882no—
1433C2×C4C22×C4×D1112yes—
1434C2×C4C22×C4×D1112yes—
1435C2×C4C22×C4×D1112yes—
1436C2×C4C22×C4×D1112yes—
1437C2×C4#6704312yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—222no—
1460C22—222no—
1461C22—222no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22C23×C4×D1111yescharacteristic
1467C22C2×#6704311yescharacteristic
1468C22#1062345311yescharacteristic
1469C22D11×H(5,𝔽2)11yescharacteristic
1470C22D11×H(5,𝔽2)11yescharacteristic
1471C22#1062345511yescharacteristic
1472C22#1062345511yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—222no—
1486C4—222no—
1487C4—222no—
1488C4—222no—
1489C4—222no—
1490C4—222no—
1491C4—222no—
1492C4—222no—
1493C4—222no—
1494C4—441no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C2—42no—
1501C2—42no—
1502C2—42no—
1503C2—442no—
1504C2#1308182011yescharacteristic
1505C2#1308182011yescharacteristic
1506C2C4×#6704311yescharacteristic
1507C2#1308312711yescharacteristic
1508C2#1308314611yescharacteristic
1509C2#1308317611yescharacteristic
1510C2#1308330111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2333C2
socle, cosocleC23×C11C25
prime radicalC2×#10623152C2
hypercenter#2333D11
hypocenterC11#34527
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #13071800C2semidirect
3. #13071786C2semidirect
4. #13071785C2semidirect
5. #13071749C2semidirect
6. #13071747C2semidirect
7. #13071665C2semidirect
8. #13071664C2semidirect
9. #13071640C2semidirect
10. #13071638C2semidirect
11. #13071636C2semidirect
12. #13071627C2semidirect
13. #13071622C2semidirect
14. #13071619C2semidirect
15. #13071614C2semidirect
16. #13071609C2semidirect
17. #13071413C2semidirect
18. #13071403C2semidirect
19. #13071375C2semidirect
20. #13071369C2semidirect
21. #13071366C2semidirect
22. #13071344C2semidirect
23. #13071343C2semidirect
24. #13071312C2semidirect
25. #13071306C2semidirect
26. #13071290C2semidirect
27. #13071282C2semidirect
28. #13071173C2semidirect
29. #13071163C2semidirect
30. C4×#66938C2semidirect
31. C11×#2333C2semidirect
48. #10623152C4semidirect
208. C11×#121C2×C4semidirect
243. #66992C2×C4semidirect
244. #66992C2×C4semidirect
245. #66991C2×C4semidirect
246. #66989C2×C4semidirect
247. #66988C2×C4semidirect
248. #66988C2×C4semidirect
252. #66982C2×C4semidirect
273. #66977C2×C4semidirect
315. #66949C2×C4semidirect
316. #66942C2×C4semidirect
318. #66938C2×C4semidirect
319. #66936C2×C4semidirect
321. #66931C2×C4semidirect
322. #66931C2×C4semidirect
572. #2333D11semidirect
966. #121C4×D11semidirect
1307. C11#34527semidirect

Maximal subgroups

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

subgroupindex
C2×#106231522
#130718002
#130717862
#130717852
#130717492
#130717472
#130716652
#130716642
#130716402
#130716382
#130716362
#130716272
#130716222
#130716192
#130716142
#130716092
#130714132
#130714032
#130713752
#130713692
#130713662
#130713442
#130713432
#130713122
#130713062
#130712902
#130712822
#130711732
#130711632
C4×#669382
C11×#23332
#3452711