Finite Group Databasebeta

← #14914724

Subgroups — #14914724

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623076C211yesmaximal, characteristic
2#13071558C211yesmaximal, characteristic, complemented
3#13071556C211yesmaximal, characteristic, complemented
4#13071554C211yesmaximal, characteristic, complemented
5#13071550C211yesmaximal, characteristic, complemented
6#13071543C211yesmaximal, characteristic, complemented
7#13071541C211yesmaximal, characteristic, complemented
8#13071539C211yesmaximal, characteristic, complemented
9#13071479C211yesmaximal, characteristic, complemented
10#13071475C211yesmaximal, characteristic, complemented
11#13071471C211yesmaximal, characteristic, complemented
12#13071469C211yesmaximal, characteristic, complemented
13#13071466C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic, complemented
15#13071462C211yesmaximal, characteristic, complemented
16#13071460C211yesmaximal, characteristic, complemented
17#13071252C211yesmaximal, characteristic, complemented
18#13071251C211yesmaximal, characteristic, complemented
19#13071248C211yesmaximal, characteristic, complemented
20#13071246C211yesmaximal, characteristic, complemented
21#13071229C211yesmaximal, characteristic, complemented
22#13071190C211yesmaximal, characteristic
23#13071058C211yesmaximal, characteristic, complemented
24#13071057C211yesmaximal, characteristic, complemented
25#13071054C211yesmaximal, characteristic, complemented
26#13071053C211yesmaximal, characteristic, complemented
27D11×#386C211yesmaximal, characteristic
28C2×#10622602C211yesmaximal, characteristic, complemented
29#13070968C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2352C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic, complemented
36C22×C11×C4⋊C4C2211yescharacteristic, complemented
37C2×D4×Dic11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C22×(C2×D11)⋊C4C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic, complemented
44#10623076C4116yescomplemented
45C2×#66946C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66945C2211yescharacteristic, complemented
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×#66930C2211yescharacteristic, complemented
57C2×C4×D44C2211yescharacteristic
58C2×#66925C2211yescharacteristic
59C2×#66925C2211yescharacteristic, complemented
60C2×C42×D11C2211yescharacteristic, complemented
61C2×C42×D11C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#382C2211yescharacteristic, complemented
69C11×#380C2211yescharacteristic, complemented
70C11×#380C2211yescharacteristic, complemented
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C22⋊C4C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622825C2211yescharacteristic, complemented
79#10622824C2211yescharacteristic, complemented
80C4×C22⋊Dic11C2211yescharacteristic, complemented
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82C4×C22⋊Dic11C2211yescharacteristic, complemented
83C2×C11⋊#95C2211yescharacteristic, complemented
84C2×C11⋊#95C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622603C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic, complemented
101#10622600C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622590C2211yescharacteristic, complemented
109C4⋊C4×Dic11C2211yescharacteristic, complemented
110#10622571C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622564C2211yescharacteristic, complemented
119#10622564C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622558C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123#10622557C2211yescharacteristic, complemented
124#10622556C2211yescharacteristic, complemented
125#10622555C2211yescharacteristic, complemented
126#10622555C2211yescharacteristic, complemented
127#10622555C2211yescharacteristic, complemented
128C22⋊C4×Dic11C2211yescharacteristic, complemented
129C22⋊C4×Dic11C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142#10622550C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622545C2211yescharacteristic, complemented
146#10622545C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic, complemented
153#10622281C2211yescharacteristic, complemented
154#10622280C2211yescharacteristic, complemented
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic, complemented
169#10622277C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic, complemented
173D11×#95C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622261C2211yescharacteristic, complemented
187#10622261C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C2×D4×D11—24no—
202C2×D4×D11—24no—
203C2×D4×D11C2×C418yes—
204C22×D44C2311yescharacteristic
205C22×C4×D11—24no—
206C22×C4×D11—42no—
207C22×C4×D11—42no—
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
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C4×D4×C11C2×C418yescomplemented
222C11×#117—42no—
223C2×C11×C4⋊C4—42no—
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252D4×Dic11C2×C418yescomplemented
253C4×C22⋊D11C2×C418yescomplemented
254C4×C22⋊D11C2×C418yescomplemented
255C2×(C2×D11)⋊C4—24no—
256C2×(C2×D11)⋊C4C2×C418yes—
257C2×(C2×D11)⋊C4C2×C418yescomplemented
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×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4—42no—
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
311#66946C2×C418yescomplemented
312#66945—42no—
313#66945C2×C418yescomplemented
314(C22⋊D11)⋊C4C2×C418yescomplemented
315(C22⋊D11)⋊C4C2×C418yescomplemented
316C22⋊C4×D11—24no—
317C22⋊C4×D11—24no—
318C22⋊C4×D11—42no—
319C22⋊C4×D11—42no—
320C22⋊C4×D11C2×C418yes—
321C22⋊C4×D11C2×C418yescomplemented
322#66930—42no—
323C4×D44C2×C418yescomplemented
324#66925—42no—
325#66925C2×C418yescomplemented
326C42×D11—42no—
327C42×D11—42no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34251—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11C22×C414yes—
390C23×D11C22×C414yes—
391C23×D11#4114yes—
392C23×D11#4114yes—
393C23×D11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11C22×C414yes—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11C22×C414yes—
410C22×C4×C11C22×C414yescomplemented
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11C22×C414yes—
441C22×Dic11C22×C414yescomplemented
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455D4×D11—232no—
456C2×D44—22no—
457C2×D44—22no—
458C2×D44C22×C414yes—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
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—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—416no—
494C2×C4×D11C22×C414yes—
495C2×C4×D11C22×C414yes—
496C2×C4×D11C22×C414yes—
497C2×C4×D11C22×C414yescomplemented
498C2×C4×D11C22×C414yescomplemented
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4C22×C414yescomplemented
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4C22×C414yes—
513C11×C22⋊C4C22×C414yescomplemented
514C42×C11—22no—
515C42×C11—41no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11C22×C414yescomplemented
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11C22×C414yes—
526C22⋊Dic11C22×C414yescomplemented
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4C22×C414yes—
544(C2×D11)⋊C4C22×C414yes—
545(C2×D11)⋊C4C22×C414yes—
546(C2×D11)⋊C4C22×C414yes—
547(C2×D11)⋊C4C22×C414yes—
548(C2×D11)⋊C4C22×C414yes—
549(C2×D11)⋊C4C22×C414yescomplemented
550(C2×D11)⋊C4C22×C414yescomplemented
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11C22×C414yescomplemented
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4C22×C414yescomplemented
563Dic11⋊C4C22×C414yescomplemented
564C4×Dic11—22no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574C4×Dic11—41no—
575C4×Dic11—41no—
576C4×Dic11C22×C414yescomplemented
577C4×Dic11C22×C414yescomplemented
578C4×Dic11C22×C414yescomplemented
579C2×#518—111no—
580#2353—111no—
581#2353—111no—
582#2353—111no—
583#2353—111no—
584#2352—111no—
585#2352—111no—
586#2352—111no—
587#2352D1111yescharacteristic, complemented
588#2343—111no—
589#2343—111no—
590#2343—111no—
591#2343—111no—
592#2342—111no—
593#2342—111no—
594#2342—111no—
595#2342—111no—
596#2318—111no—
597#2318—111no—
598#2318—111no—
599#2318—111no—
600#2315—111no—
601#2308—111no—
602#2290—111no—
603#2290—111no—
604#2290—111no—
605#2290—111no—
606C2×#386—111no—
607C2×#385—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×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11C2×#4112yes—
623C23×C11C2×#4112yes—
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—44no—
641C22×D11—44no—
642C22×D11—44no—
643C22×D11—44no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—82no—
649C22×D11—82no—
650C22×D11—82no—
651C22×D11—82no—
652C22×D11#117116yescomplemented
653C22×D11C23×C412yes—
654C22×D11C23×C412yes—
655C22×D11C23×C412yes—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660D4×C11—28no—
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—21no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—82no—
698C2×C4×C11C23×C412yes—
699C2×C4×C11C23×C412yes—
700C2×C4×C11C23×C412yes—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11H(5,𝔽2)12yes—
704C22⋊D11—28no—
705C22⋊D11—28no—
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—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11—44no—
742C2×Dic11—82no—
743C2×Dic11C23×C412yes—
744C2×Dic11C23×C412yes—
745C2×Dic11C23×C412yes—
746C2×Dic11C23×C412yes—
747C2×Dic11C23×C412yes—
748C2×Dic11H(5,𝔽2)12yes—
749D44—28no—
750C4×D11—28no—
751C4×D11—28no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760C4×D11—44no—
761C4×D11—82no—
762C4×D11—82no—
763C23×D4—111no—
764C24×C4—111no—
765#518—1116no—
766C2×C4×D4—111no—
767C2×C4×D4—111no—
768C2×C4×D4—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4C2×D1111yescharacteristic
774C2×#117—111no—
775C2×#117—111no—
776C2×#117—111no—
777C2×#117—111no—
778C2×#117—111no—
779C2×#117C2×D1111yescharacteristic, complemented
780C22×C4⋊C4—111no—
781C22×C4⋊C4C2×D1111yescharacteristic, complemented
782C22×C22⋊C4—111no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4—111no—
787C22×C22⋊C4—111no—
788C22×C22⋊C4—111no—
789C22×C22⋊C4—111no—
790C22×C22⋊C4—111no—
791C22×C42—111no—
792C22×C42—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
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#388C2×D1111yescharacteristic, complemented
808#388C2×D1111yescharacteristic, complemented
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387C2×D1111yescharacteristic, complemented
824#387C2×D1111yescharacteristic, complemented
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386C2×D1111yescharacteristic
840#386C2×D1111yescharacteristic
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#383—111no—
858#383—111no—
859#383—111no—
860#383—111no—
861#382—111no—
862#382—111no—
863#382—111no—
864#382C2×D1111yescharacteristic, complemented
865#381—111no—
866#381—111no—
867#381—111no—
868#381—111no—
869#381—111no—
870#381—111no—
871#380—111no—
872#380—111no—
873#380—111no—
874#380—111no—
875#380—111no—
876#380—111no—
877#380C2×D1111yescharacteristic, complemented
878#380C2×D1111yescharacteristic, complemented
879#379—111no—
880#379—111no—
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
908C4×C22⋊C4C2×D1111yescharacteristic, complemented
909#376—111no—
910#376—111no—
911#376—111no—
912#376—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C2×#95—111no—
917C2×#95—111no—
918C2×#95—111no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11C2×#11714yes—
933C22×C11C24×C411yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11C2×H(5,𝔽2)11yescharacteristic
937C22×C11C2×H(5,𝔽2)11yescharacteristic
938C22×C11#58511yescharacteristic
939C22×C11#58511yescharacteristic
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—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—416no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—88no—
961C2×D11C2×#11714yes—
962C2×D11C2×#11714yes—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976Dic11—22no—
977Dic11—22no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—22no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989C25—111no—
990C25—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—118no—
994C22×D4—111no—
995C22×D4—224no—
996C22×D4—224no—
997C22×D4C22×D1111yescharacteristic
998C23×C4—111no—
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—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—224no—
1016C23×C4—442no—
1017C23×C4—442no—
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020C23×C4C22×D1111yescharacteristic
1021C23×C4C22×D1111yescharacteristic
1022C4×D4—118no—
1023C4×D4—118no—
1024C4×D4—118no—
1025C4×D4—118no—
1026C4×D4—118no—
1027C4×D4—118no—
1028C4×D4—118no—
1029C4×D4C4×D1118yescomplemented
1030#117—42no—
1031#117—118no—
1032#117—118no—
1033#117—442no—
1034#117—442no—
1035#117—442no—
1036C2×C4⋊C4—42no—
1037C2×C4⋊C4—111no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—442no—
1051C2×C4⋊C4C22×D1111yescharacteristic
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—118no—
1061C2×C22⋊C4—118no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—118no—
1071C2×C22⋊C4—118no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—224no—
1095C2×C22⋊C4—224no—
1096C2×C22⋊C4—224no—
1097C2×C22⋊C4—442no—
1098C2×C22⋊C4—442no—
1099C2×C22⋊C4C22×D1111yescharacteristic
1100C2×C22⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×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—442no—
1123C2×C42—442no—
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177C2×C11—24no—
1178C2×C11—42no—
1179C2×C11C22×#11711yescharacteristic
1180C2×C11C4×H(5,𝔽2)11yescharacteristic
1181C2×C11C4×H(5,𝔽2)11yescharacteristic
1182C2×C11#349011yescharacteristic
1183C2×C11#349111yescharacteristic
1184C2×C11#350511yescharacteristic
1185C2×C11#350511yescharacteristic
1186D11—24no—
1187D11—24no—
1188D11—42no—
1189C24—111no—
1190C24—111no—
1191C24—114no—
1192C24—114no—
1193C24—114no—
1194C24—111no—
1195C24—114no—
1196C24—222no—
1197C24—222no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—114no—
1211C2×D4—114no—
1212C2×D4—114no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—2232no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4C2×C4×D1114yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—114no—
1238C22×C4—114no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—114no—
1242C22×C4—114no—
1243C22×C4—114no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
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—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—4416no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—441no—
1295C22×C4—441no—
1296C22×C4C2×C4×D1114yes—
1297C22×C4C2×C4×D1114yescomplemented
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C22×C4C23×D1111yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—114no—
1318C4⋊C4—114no—
1319C4⋊C4—114no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4C2×C4×D1114yescomplemented
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—114no—
1338C22⋊C4—114no—
1339C22⋊C4—114no—
1340C22⋊C4—114no—
1341C22⋊C4—114no—
1342C22⋊C4—114no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—114no—
1346C22⋊C4—114no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4C2×C4×D1114yes—
1370C22⋊C4C2×C4×D1114yescomplemented
1371C42—22no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—114no—
1376C42—114no—
1377C42—114no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42C2×C4×D1114yescomplemented
1391C11#3425111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—112no—
1403C23—112no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—112no—
1408C23—1116no—
1409C23—112no—
1410C23—228no—
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—221no—
1425C23—444no—
1426C23—444no—
1427C23—444no—
1428C23—444no—
1429C23—444no—
1430C23—444no—
1431C23—444no—
1432C23—444no—
1433C23—882no—
1434C23—882no—
1435C23—882no—
1436C23—882no—
1437C23C22×C4×D1112yes—
1438C23C22×C4×D1112yes—
1439C23#41×D1112yes—
1440C23#41×D1112yes—
1441C23C24×D1111yescharacteristic
1442D4—28no—
1443D4—228no—
1444D4—228no—
1445D4—228no—
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—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—82no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—112no—
1488C2×C4—112no—
1489C2×C4—228no—
1490C2×C4—228no—
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—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—444no—
1532C2×C4—444no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—882no—
1537C2×C4—882no—
1538C2×C4—882no—
1539C2×C4C22×C4×D1112yes—
1540C2×C4C22×C4×D1112yes—
1541C2×C4C22×C4×D1112yes—
1542C2×C4C22×C4×D1112yes—
1543C2×C4C22×C4×D1112yes—
1544C2×C4#6703712yes—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—114no—
1559C22—114no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—4416no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—888no—
1581C22D11×#11714yes—
1582C22C23×C4×D1111yescharacteristic
1583C22C2×#6703711yescharacteristic
1584C22C2×#41×D1111yescharacteristic
1585C22C2×#41×D1111yescharacteristic
1586C22#1062345311yescharacteristic
1587C22D11×H(5,𝔽2)11yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—222no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—222no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—24no—
1616C2—42no—
1617C2—224no—
1618C2—224no—
1619C2—442no—
1620C2C2×D11×#11711yescharacteristic
1621C2C4×#6703711yescharacteristic
1622C2#1308182211yescharacteristic
1623C2#1308229811yescharacteristic
1624C2#1308231111yescharacteristic
1625C2#1308244911yescharacteristic
1626C2#1308245211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2352C2
socle, cosocleC23×C11C25
prime radicalC22×D4×D11C22
hypercenter#2352D11
hypocenterC11#34251
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. #13071558C2semidirect
3. #13071556C2semidirect
4. #13071554C2semidirect
5. #13071550C2semidirect
6. #13071543C2semidirect
7. #13071541C2semidirect
8. #13071539C2semidirect
9. #13071479C2semidirect
10. #13071475C2semidirect
11. #13071471C2semidirect
12. #13071469C2semidirect
13. #13071466C2semidirect
14. #13071464C2semidirect
15. #13071462C2semidirect
16. #13071460C2semidirect
17. #13071252C2semidirect
18. #13071251C2semidirect
19. #13071248C2semidirect
20. #13071246C2semidirect
21. #13071229C2semidirect
23. #13071058C2semidirect
24. #13071057C2semidirect
25. #13071054C2semidirect
26. #13071053C2semidirect
28. C2×#10622602C2semidirect
29. #13070968C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2352C2semidirect
35. C2×C11×#117C22semidirect
36. C22×C11×C4⋊C4C22semidirect
43. C22×Dic11⋊C4C22semidirect
44. #10623076C4semidirect
47. C2×#66945C22semidirect
56. C2×#66930C22semidirect
59. C2×#66925C22semidirect
60. C2×C42×D11C22semidirect
61. C2×C42×D11C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C11×#382C22semidirect
69. C11×#380C22semidirect
70. C11×#380C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. C4×C11×C22⋊C4C22semidirect
73. C4×C11×C22⋊C4C22semidirect
78. #10622825C22semidirect
79. #10622824C22semidirect
80. C4×C22⋊Dic11C22semidirect
81. C4×C22⋊Dic11C22semidirect
82. C4×C22⋊Dic11C22semidirect
83. C2×C11⋊#95C22semidirect
84. C2×C11⋊#95C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622603C22semidirect
88. #10622603C22semidirect
95. #10622602C22semidirect
96. #10622602C22semidirect
97. #10622602C22semidirect
98. #10622602C22semidirect
99. #10622602C22semidirect
100. #10622602C22semidirect
101. #10622600C22semidirect
102. #10622594C22semidirect
103. #10622594C22semidirect
104. #10622591C22semidirect
105. #10622591C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622590C22semidirect
109. C4⋊C4×Dic11C22semidirect
118. #10622564C22semidirect
119. #10622564C22semidirect
120. #10622558C22semidirect
121. #10622558C22semidirect
122. #10622557C22semidirect
123. #10622557C22semidirect
124. #10622556C22semidirect
125. #10622555C22semidirect
126. #10622555C22semidirect
127. #10622555C22semidirect
128. C22⋊C4×Dic11C22semidirect
129. C22⋊C4×Dic11C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. C22⋊C4×Dic11C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
139. C4×(C2×D11)⋊C4C22semidirect
140. C4×(C2×D11)⋊C4C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. #10622550C22semidirect
143. #10622546C22semidirect
144. #10622546C22semidirect
145. #10622545C22semidirect
146. #10622545C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. #10622282C22semidirect
149. #10622282C22semidirect
152. #10622281C22semidirect
153. #10622281C22semidirect
154. #10622280C22semidirect
159. #10622279C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
168. #10622277C22semidirect
169. #10622277C22semidirect
172. D11×#95C22semidirect
173. D11×#95C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622262C22semidirect
186. #10622261C22semidirect
187. #10622261C22semidirect
221. C4×D4×C11C2×C4semidirect
252. D4×Dic11C2×C4semidirect
253. C4×C22⋊D11C2×C4semidirect
254. C4×C22⋊D11C2×C4semidirect
257. C2×(C2×D11)⋊C4C2×C4semidirect
311. #66946C2×C4semidirect
313. #66945C2×C4semidirect
314. (C22⋊D11)⋊C4C2×C4semidirect
315. (C22⋊D11)⋊C4C2×C4semidirect
321. C22⋊C4×D11C2×C4semidirect
323. C4×D44C2×C4semidirect
325. #66925C2×C4semidirect
410. C22×C4×C11C22×C4semidirect
441. C22×Dic11C22×C4semidirect
497. C2×C4×D11C22×C4semidirect
498. C2×C4×D11C22×C4semidirect
505. C11×C4⋊C4C22×C4semidirect
513. C11×C22⋊C4C22×C4semidirect
518. C42×C11C22×C4semidirect
526. C22⋊Dic11C22×C4semidirect
549. (C2×D11)⋊C4C22×C4semidirect
550. (C2×D11)⋊C4C22×C4semidirect
553. C4⋊Dic11C22×C4semidirect
562. Dic11⋊C4C22×C4semidirect
563. Dic11⋊C4C22×C4semidirect
576. C4×Dic11C22×C4semidirect
577. C4×Dic11C22×C4semidirect
578. C4×Dic11C22×C4semidirect
587. #2352D11semidirect
652. C22×D11#117semidirect
779. C2×#117C2×D11semidirect
781. C22×C4⋊C4C2×D11semidirect
807. #388C2×D11semidirect
808. #388C2×D11semidirect
823. #387C2×D11semidirect
824. #387C2×D11semidirect
864. #382C2×D11semidirect
877. #380C2×D11semidirect
878. #380C2×D11semidirect
884. C4×C4⋊C4C2×D11semidirect
907. C4×C22⋊C4C2×D11semidirect
908. C4×C22⋊C4C2×D11semidirect
1029. C4×D4C4×D11semidirect
1297. C22×C4C2×C4×D11semidirect
1330. C4⋊C4C2×C4×D11semidirect
1370. C22⋊C4C2×C4×D11semidirect
1390. C42C2×C4×D11semidirect
1391. C11#34251semidirect

Maximal subgroups

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

subgroupindex
C2×#106230762
#130715582
#130715562
#130715542
#130715502
#130715432
#130715412
#130715392
#130714792
#130714752
#130714712
#130714692
#130714662
#130714642
#130714622
#130714602
#130712522
#130712512
#130712482
#130712462
#130712292
#130711902
#130710582
#130710572
#130710542
#130710532
D11×#3862
C2×#106226022
#130709682
C4×C22⋊C4×D112
C11×#23522
#3425111