Finite Group Databasebeta

← #14914560

Subgroups — #14914560

Order 2816.

2742 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#123C211yesmaximal, characteristic
2#13071751C211yesmaximal, characteristic, complemented
3#13071749C211yesmaximal, characteristic, complemented
4#13071746C211yesmaximal, characteristic, complemented
5#13071746C211yesmaximal, characteristic, complemented
6#13071615C211yesmaximal, characteristic, complemented
7#13071611C211yesmaximal, characteristic, complemented
8#13071607C211yesmaximal, characteristic, complemented
9#13071603C211yesmaximal, characteristic, complemented
10#13071492C211yesmaximal, characteristic, complemented
11#13071490C211yesmaximal, characteristic, complemented
12#13071464C211yesmaximal, characteristic, complemented
13#13071463C211yesmaximal, characteristic, complemented
14#13071460C211yesmaximal, characteristic, complemented
15#13071460C211yesmaximal, characteristic, complemented
16#13071437C211yesmaximal, characteristic
17#13071434C211yesmaximal, characteristic
18#13071410C211yesmaximal, characteristic, complemented
19#13071406C211yesmaximal, characteristic, complemented
20#13071402C211yesmaximal, characteristic, complemented
21#13071215C211yesmaximal, characteristic, complemented
22#13071210C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24C4×#66947C211yesmaximal, characteristic, complemented
25#13071137C211yesmaximal, characteristic, complemented
26C4×#66936C211yesmaximal, characteristic, complemented
27#13070998C211yesmaximal, characteristic, complemented
28#13070970C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39D11×#123C4116yescomplemented
40C2×#66947C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66945C2211yescharacteristic, complemented
45C2×#66945C2211yescharacteristic, complemented
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×#66939C2211yescharacteristic
49C2×#66936C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×#66925C2211yescharacteristic
60C2×C42×D11C2211yescharacteristic, complemented
61C2×C42×D11C2211yescharacteristic, complemented
62C11×#390C2211yescharacteristic
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#388C2211yescharacteristic, complemented
67C11×#388C2211yescharacteristic, complemented
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#386C2211yescharacteristic
71C11×#385C2211yescharacteristic, complemented
72C11×#380C2211yescharacteristic, complemented
73C4×C11×C4⋊C4C2211yescharacteristic, complemented
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622834C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622825C2211yescharacteristic, complemented
79C4×C22⋊Dic11C2211yescharacteristic, complemented
80C4×C22⋊Dic11C2211yescharacteristic, complemented
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622598C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622591C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99C4⋊C4×Dic11C2211yescharacteristic, complemented
100C4⋊C4×Dic11C2211yescharacteristic, complemented
101#10622585C2211yescharacteristic, complemented
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622564C2211yescharacteristic, complemented
113#10622564C2211yescharacteristic, complemented
114#10622564C2211yescharacteristic, complemented
115#10622564C2211yescharacteristic, complemented
116#10622563C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622558C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622557C2211yescharacteristic, complemented
124#10622557C2211yescharacteristic, complemented
125C22⋊C4×Dic11C2211yescharacteristic, complemented
126C22⋊C4×Dic11C2211yescharacteristic, complemented
127C22⋊C4×Dic11C2211yescharacteristic, complemented
128C22⋊C4×Dic11C2211yescharacteristic, complemented
129C22⋊C4×Dic11C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic, complemented
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×C4⋊Dic11C2211yescharacteristic, complemented
143C4×C4⋊Dic11C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622283C2211yescharacteristic, complemented
150#10622283C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622279C2211yescharacteristic, complemented
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×D4×D11—42no—
198C2×D4×D11—42no—
199C2×D4×D11C2×C418yes—
200C22×D44C2311yescharacteristic
201C22×C4×D11—42no—
202C22×C4×D11—42no—
203C22×C4×D11C2×C418yescomplemented
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C11×#123C2×C418yescomplemented
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250#66988C2×C418yescomplemented
251#66982C2×C418yescomplemented
252C4×C22⋊D11—42no—
253C2×(C2×D11)⋊C4—24no—
254C2×(C2×D11)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
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×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
314#66947C2×C418yescomplemented
315#66947C2×C418yescomplemented
316#66946—42no—
317#66945—24no—
318#66945—42no—
319#66945—42no—
320C4⋊C4×D11C2×C418yescomplemented
321C4⋊C4×D11C2×C418yescomplemented
322#66939C2×C418yescomplemented
323#66936C2×C418yescomplemented
324#66936C2×C418yescomplemented
325(C22⋊D11)⋊C4—42no—
326C22⋊C4×D11—24no—
327C22⋊C4×D11—24no—
328C22⋊C4×D11—24no—
329C22⋊C4×D11C2×C418yescomplemented
330C22⋊C4×D11C2×C418yescomplemented
331C22⋊C4×D11C2×C418yescomplemented
332C4×D44—42no—
333#66925—24no—
334C42×D11—42no—
335C42×D11—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#34238—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—22no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11C22×C414yes—
392C23×D11C22×C414yes—
393C23×D11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11C22×C414yes—
399C22×C4×C11—22no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11C22×C414yes—
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11C22×C414yes—
423C2×C22⋊D11C22×C414yes—
424C22×Dic11—22no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11C22×C414yes—
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443D4×D11—416no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44C22×C414yes—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—416no—
480C2×C4×D11C22×C414yes—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yes—
484C2×C4×D11C22×C414yes—
485C2×C4×D11C22×C414yes—
486C2×C4×D11C22×C414yes—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4C22×C414yes—
493C11×C4⋊C4C22×C414yes—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4C22×C414yes—
502C11×C22⋊C4C22×C414yes—
503C11×C22⋊C4C22×C414yes—
504C42×C11—22no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11C22×C414yes—
517C22⋊Dic11C22×C414yes—
518C22⋊Dic11C22×C414yes—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4C22×C414yes—
536(C2×D11)⋊C4C22×C414yes—
537(C2×D11)⋊C4C22×C414yes—
538(C2×D11)⋊C4C22×C414yes—
539(C2×D11)⋊C4C22×C414yes—
540(C2×D11)⋊C4C22×C414yes—
541(C2×D11)⋊C4#4114yes—
542(C2×D11)⋊C4#4114yes—
543C4⋊Dic11—22no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11C22×C414yes—
549C4⋊Dic11C22×C414yes—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4C22×C414yes—
557Dic11⋊C4C22×C414yes—
558Dic11⋊C4C22×C414yes—
559Dic11⋊C4C22×C414yes—
560C4×Dic11—22no—
561C4×Dic11—22no—
562C4×Dic11—22no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
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×Dic11—41no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C22×#123—111no—
580#2374—111no—
581#2374—111no—
582#2374—111no—
583#2374—111no—
584#2359—111no—
585#2359—111no—
586#2359—111no—
587#2359—111no—
588#2345—111no—
589#2345—111no—
590#2342—111no—
591#2342—111no—
592#2342—111no—
593#2342—111no—
594D4×C22⋊C4—111no—
595D4×C22⋊C4—111no—
596#2335—111no—
597#2335—111no—
598#2335—111no—
599#2335D1111yescharacteristic, complemented
600#2313—111no—
601#2312—111no—
602C4×#123—111no—
603C4×#123—111no—
604C4×#123—111no—
605C4×#123—111no—
606#2280—111no—
607#2274—111no—
608#2273—111no—
609C2×C4×C22⋊C4—111no—
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×C11C23×C412yes—
623C23×C11C23×C412yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—28no—
640C22×D11—28no—
641C22×D11—28no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—82no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11—82no—
653C22×D11C23×C412yes—
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11H(5,𝔽2)12yes—
659C22×D11H(5,𝔽2)12yes—
660D4×C11—44no—
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—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—44no—
694C2×C4×C11—82no—
695C2×C4×C11C23×C412yes—
696C2×C4×C11C23×C412yes—
697C2×C4×C11C23×C412yes—
698C2×C4×C11C23×C412yes—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C2×#4112yes—
701C2×C4×C11C2×#4112yes—
702C22⋊D11—28no—
703C22⋊D11—44no—
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—21no—
736C2×Dic11—44no—
737C2×Dic11—82no—
738C2×Dic11C23×C412yes—
739C2×Dic11C23×C412yes—
740C2×Dic11C23×C412yes—
741C2×Dic11C23×C412yes—
742C2×Dic11C23×C412yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11C2×#4112yes—
745D44—28no—
746C4×D11—28no—
747C4×D11—28no—
748C4×D11—28no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—82no—
758C4×D11—82no—
759C23×D4—111no—
760C24×C4—111no—
761C2×#123—111no—
762C2×#123—111no—
763C2×#123—1116no—
764C2×#123—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×#123C2×D1111yescharacteristic
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C42—111no—
788C22×C42—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390C2×D1111yescharacteristic
793#389—111no—
794#389—111no—
795#389—111no—
796#389C2×D1111yescharacteristic, complemented
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—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#388C2×D1111yescharacteristic, complemented
818#388C2×D1111yescharacteristic, complemented
819#388C2×D1111yescharacteristic, complemented
820#388C2×D1111yescharacteristic, complemented
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
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#387C2×D1111yescharacteristic, complemented
836#387C2×D1111yescharacteristic, complemented
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386C2×D1111yescharacteristic
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385C2×D1111yescharacteristic, complemented
853#381—111no—
854#381—111no—
855#381—111no—
856#381—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380C2×D1111yescharacteristic, complemented
865#379—111no—
866#379—111no—
867#379—111no—
868#379—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4—111no—
872C4×C4⋊C4—111no—
873C4×C4⋊C4—111no—
874C4×C4⋊C4—111no—
875C4×C4⋊C4—111no—
876C4×C4⋊C4—111no—
877C4×C4⋊C4—111no—
878C4×C4⋊C4—111no—
879C4×C4⋊C4—111no—
880C4×C4⋊C4C2×D1111yescharacteristic, complemented
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4—111no—
890C4×C22⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊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⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4C2×D1111yescharacteristic, complemented
912C4×C22⋊C4C2×D1111yescharacteristic, complemented
913C2×#95—111no—
914C2×#95—111no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11C24×C411yescharacteristic
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11#58511yescharacteristic
935C22×C11#58511yescharacteristic
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—416no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—88no—
957C2×D11C4×#4114yes—
958C2×D11#51814yes—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—22no—
978Dic11—22no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985C25—111no—
986C25—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—118no—
990C22×D4—111no—
991C22×D4—442no—
992C22×D4—442no—
993C22×D4C22×D1111yescharacteristic
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—118no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—442no—
1011C23×C4—442no—
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
1014#123—118no—
1015#123—118no—
1016#123—118no—
1017#123—118no—
1018#123—118no—
1019#123—118no—
1020#123—118no—
1021#123C4×D1118yescomplemented
1022C4×D4—442no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026#117—224no—
1027#117—224no—
1028#117—442no—
1029#117—442no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—118no—
1037C2×C4⋊C4—118no—
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⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—118no—
1068C2×C22⋊C4—118no—
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—224no—
1094C2×C22⋊C4—224no—
1095C2×C22⋊C4—224no—
1096C2×C22⋊C4—224no—
1097C2×C22⋊C4C22×D1111yescharacteristic
1098C2×C22⋊C4C22×D1111yescharacteristic
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×C42—111no—
1108C2×C42—111no—
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×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—442no—
1127C2×C42—442no—
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
1130C2×C42C22×D1111yescharacteristic
1131C2×C42C22×D1111yescharacteristic
1132C2×C42C22×D1111yescharacteristic
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#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173C2×C11—42no—
1174C2×C11—42no—
1175C2×C11C2×C4×#4111yescharacteristic
1176C2×C11C2×#51811yescharacteristic
1177C2×C11#342811yescharacteristic
1178C2×C11#351311yescharacteristic
1179C2×C11#351311yescharacteristic
1180C2×C11#351311yescharacteristic
1181C2×C11#351311yescharacteristic
1182D11—24no—
1183D11—24no—
1184D11—42no—
1185C24—111no—
1186C24—111no—
1187C24—111no—
1188C24—114no—
1189C24—114no—
1190C24—222no—
1191C24—222no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—441no—
1197C24—441no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24C23×D1111yescharacteristic
1203C24C23×D1111yescharacteristic
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—114no—
1207C2×D4—114no—
1208C2×D4—114no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C2×D4—4416no—
1216C2×D4C2×C4×D1114yes—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—114no—
1230C22×C4—114no—
1231C22×C4—114no—
1232C22×C4—114no—
1233C22×C4—114no—
1234C22×C4—114no—
1235C22×C4—114no—
1236C22×C4—114no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—111no—
1240C22×C4—111no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
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—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
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—4416no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4C2×C4×D1114yes—
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—114no—
1301C4⋊C4—114no—
1302C4⋊C4—114no—
1303C4⋊C4—114no—
1304C4⋊C4—114no—
1305C4⋊C4—114no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1318C4⋊C4C2×C4×D1114yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—114no—
1327C22⋊C4—114no—
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—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
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×D1114yes—
1361C22⋊C4C2×C4×D1114yes—
1362C22⋊C4C2×C4×D1114yes—
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—222no—
1369C42—222no—
1370C42—222no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42—441no—
1380C42—441no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C11#3423811yescharacteristic, complemented, Sylow
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—112no—
1401C23—112no—
1402C23—112no—
1403C23—112no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—228no—
1408C23—228no—
1409C23—228no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—444no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—882no—
1432C23—882no—
1433C23—882no—
1434C23—882no—
1435C23C22×C4×D1112yes—
1436C23C22×C4×D1112yes—
1437C23C24×D1111yescharacteristic
1438D4—44no—
1439D4—228no—
1440D4—228no—
1441D4—444no—
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—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—44no—
1475C2×C4—82no—
1476C2×C4—112no—
1477C2×C4—112no—
1478C2×C4—112no—
1479C2×C4—112no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—228no—
1484C2×C4—228no—
1485C2×C4—228no—
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—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—882no—
1528C2×C4—882no—
1529C2×C4—882no—
1530C2×C4C22×C4×D1112yes—
1531C2×C4C22×C4×D1112yes—
1532C2×C4C22×C4×D1112yes—
1533C2×C4C22×C4×D1112yes—
1534C2×C4C22×C4×D1112yes—
1535C2×C4#41×D1112yes—
1536C2×C4#41×D1112yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—114no—
1552C22—114no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—4416no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—888no—
1574C22C23×C4×D1111yescharacteristic
1575C22C2×#41×D1111yescharacteristic
1576C22C2×#41×D1111yescharacteristic
1577C22D11×H(5,𝔽2)11yescharacteristic
1578C22D11×H(5,𝔽2)11yescharacteristic
1579C22#1062345511yescharacteristic
1580C22#1062345711yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—222no—
1595C4—222no—
1596C4—222no—
1597C4—222no—
1598C4—222no—
1599C4—222no—
1600C4—222no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C2—42no—
1608C2—42no—
1609C2—224no—
1610C2—224no—
1611C2—442no—
1612C2C4×#41×D1111yescharacteristic
1613C2D11×#51811yescharacteristic
1614C2#1308181611yescharacteristic
1615C2#1308254611yescharacteristic
1616C2#1308255211yescharacteristic
1617C2#1308255411yescharacteristic
1618C2#1308256211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2335C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2335D11
hypocenterC11#34238
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #13071751C2semidirect
3. #13071749C2semidirect
4. #13071746C2semidirect
5. #13071746C2semidirect
6. #13071615C2semidirect
7. #13071611C2semidirect
8. #13071607C2semidirect
9. #13071603C2semidirect
10. #13071492C2semidirect
11. #13071490C2semidirect
12. #13071464C2semidirect
13. #13071463C2semidirect
14. #13071460C2semidirect
15. #13071460C2semidirect
18. #13071410C2semidirect
19. #13071406C2semidirect
20. #13071402C2semidirect
21. #13071215C2semidirect
22. #13071210C2semidirect
23. #13071143C2semidirect
24. C4×#66947C2semidirect
25. #13071137C2semidirect
26. C4×#66936C2semidirect
27. #13070998C2semidirect
28. #13070970C2semidirect
29. #13070968C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2335C2semidirect
39. D11×#123C4semidirect
44. C2×#66945C22semidirect
45. C2×#66945C22semidirect
60. C2×C42×D11C22semidirect
61. C2×C42×D11C22semidirect
63. C11×#389C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#388C22semidirect
67. C11×#388C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
71. C11×#385C22semidirect
72. C11×#380C22semidirect
73. C4×C11×C4⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
78. #10622825C22semidirect
79. C4×C22⋊Dic11C22semidirect
80. C4×C22⋊Dic11C22semidirect
81. C4×C22⋊Dic11C22semidirect
82. #10622603C22semidirect
83. #10622603C22semidirect
84. #10622603C22semidirect
85. #10622602C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
92. #10622598C22semidirect
93. #10622594C22semidirect
94. #10622594C22semidirect
95. #10622591C22semidirect
96. #10622591C22semidirect
97. #10622591C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. C4⋊C4×Dic11C22semidirect
100. C4⋊C4×Dic11C22semidirect
101. #10622585C22semidirect
112. #10622564C22semidirect
113. #10622564C22semidirect
114. #10622564C22semidirect
115. #10622564C22semidirect
116. #10622563C22semidirect
117. #10622558C22semidirect
118. #10622558C22semidirect
119. #10622558C22semidirect
120. #10622558C22semidirect
121. #10622557C22semidirect
122. #10622557C22semidirect
123. #10622557C22semidirect
124. #10622557C22semidirect
125. C22⋊C4×Dic11C22semidirect
126. C22⋊C4×Dic11C22semidirect
127. C22⋊C4×Dic11C22semidirect
128. C22⋊C4×Dic11C22semidirect
129. C22⋊C4×Dic11C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. C22⋊C4×Dic11C22semidirect
132. #10622553C22semidirect
137. C4×(C2×D11)⋊C4C22semidirect
138. C4×(C2×D11)⋊C4C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×C4⋊Dic11C22semidirect
143. C4×C4⋊Dic11C22semidirect
144. #10622546C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. #10622283C22semidirect
149. #10622283C22semidirect
150. #10622283C22semidirect
151. #10622282C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622281C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
165. #10622279C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
174. D11×#95C22semidirect
175. D11×#95C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
203. C22×C4×D11C2×C4semidirect
217. C11×#123C2×C4semidirect
250. #66988C2×C4semidirect
251. #66982C2×C4semidirect
314. #66947C2×C4semidirect
315. #66947C2×C4semidirect
320. C4⋊C4×D11C2×C4semidirect
321. C4⋊C4×D11C2×C4semidirect
322. #66939C2×C4semidirect
323. #66936C2×C4semidirect
324. #66936C2×C4semidirect
329. C22⋊C4×D11C2×C4semidirect
330. C22⋊C4×D11C2×C4semidirect
331. C22⋊C4×D11C2×C4semidirect
599. #2335D11semidirect
796. #389C2×D11semidirect
817. #388C2×D11semidirect
818. #388C2×D11semidirect
819. #388C2×D11semidirect
820. #388C2×D11semidirect
835. #387C2×D11semidirect
836. #387C2×D11semidirect
852. #385C2×D11semidirect
864. #380C2×D11semidirect
880. C4×C4⋊C4C2×D11semidirect
911. C4×C22⋊C4C2×D11semidirect
912. C4×C22⋊C4C2×D11semidirect
1021. #123C4×D11semidirect
1387. C11#34238semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1232
#130717512
#130717492
#130717462
#130716152
#130716112
#130716072
#130716032
#130714922
#130714902
#130714642
#130714632
#130714602
#130714372
#130714342
#130714102
#130714062
#130714022
#130712152
#130712102
#130711432
C4×#669472
#130711372
C4×#669362
#130709982
#130709702
#130709682
C4×C22⋊C4×D112
C11×#23352
#3423811