Finite Group Databasebeta

← #14918350

Subgroups — #14918350

Order 2816.

2292 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623236C211yesmaximal, characteristic
2#13071803C211yesmaximal, characteristic, complemented
3#13071781C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071763C211yesmaximal, characteristic, complemented
6#13071682C211yesmaximal, characteristic, complemented
7#13071623C211yesmaximal, characteristic, complemented
8#13071601C211yesmaximal, characteristic, complemented
9#13071598C211yesmaximal, characteristic
10#13071548C211yesmaximal, characteristic, complemented
11#13071517C211yesmaximal, characteristic, complemented
12#13071505C211yesmaximal, characteristic, complemented
13#13071477C211yesmaximal, characteristic, complemented
14#13071464C211yesmaximal, characteristic, complemented
15#13071459C211yesmaximal, characteristic, complemented
16#13071424C211yesmaximal, characteristic, complemented
17#13071400C211yesmaximal, characteristic, complemented
18#13071395C211yesmaximal, characteristic, complemented
19#13071393C211yesmaximal, characteristic, complemented
20#13071345C211yesmaximal, characteristic, complemented
21#13071293C211yesmaximal, characteristic, complemented
22#13071286C211yesmaximal, characteristic, complemented
23#13071269C211yesmaximal, characteristic
24#13071260C211yesmaximal, characteristic, complemented
25#13071248C211yesmaximal, characteristic, complemented
26#13071227C211yesmaximal, characteristic, complemented
27#13071222C211yesmaximal, characteristic, complemented
28C4×#66947C211yesmaximal, characteristic, complemented
29#13071096C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2373C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34#10623236C4116yescomplemented
35C2×#66950C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66945C2211yescharacteristic
42C2×#66945C2211yescharacteristic
43C2×C4⋊C4×D11C2211yescharacteristic
44C2×C4⋊C4×D11C2211yescharacteristic, complemented
45C2×#66940C2211yescharacteristic, complemented
46C2×#66938C2211yescharacteristic
47C2×#66936C2211yescharacteristic
48C2×#66935C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×C4×D44C2211yescharacteristic
56C2×C4×D44C2211yescharacteristic
57C2×#66925C2211yescharacteristic
58C2×#66925C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C11×#389C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#385C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C4⋊C4C2211yescharacteristic, complemented
70C4×C11×C4⋊C4C2211yescharacteristic, complemented
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C11×#376C2211yescharacteristic, complemented
74#10622826C2211yescharacteristic
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic, complemented
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic, complemented
87#10622598C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622589C2211yescharacteristic, complemented
93C4⋊C4×Dic11C2211yescharacteristic, complemented
94#10622586C2211yescharacteristic, complemented
95#10622585C2211yescharacteristic, complemented
96#10622585C2211yescharacteristic, complemented
97#10622585C2211yescharacteristic, complemented
98#10622570C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622568C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622563C2211yescharacteristic
105#10622563C2211yescharacteristic
106#10622559C2211yescharacteristic
107#10622559C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622557C2211yescharacteristic
111#10622557C2211yescharacteristic
112C22⋊C4×Dic11C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic, complemented
118#10622552C2211yescharacteristic
119#10622552C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128#10622549C2211yescharacteristic, complemented
129C4×C4⋊Dic11C2211yescharacteristic, complemented
130#10622546C2211yescharacteristic, complemented
131#10622546C2211yescharacteristic, complemented
132C4×Dic11⋊C4C2211yescharacteristic, complemented
133C4×Dic11⋊C4C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136#10622542C2211yescharacteristic, complemented
137#10622541C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622280C2211yescharacteristic
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169#10622277C2211yescharacteristic, complemented
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#126C2×C418yescomplemented
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×(C2×D11)⋊C4—42no—
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301#66950C2×C418yescomplemented
302#66949C2×C418yescomplemented
303#66947C2×C418yescomplemented
304#66947C2×C418yescomplemented
305#66946—42no—
306#66946C2×C418yescomplemented
307#66945—42no—
308#66945C2×C418yescomplemented
309C4⋊C4×D11—42no—
310C4⋊C4×D11—42no—
311#66940—42no—
312#66938C2×C418yescomplemented
313#66936C2×C418yescomplemented
314#66935C2×C418yes—
315(C22⋊D11)⋊C4—42no—
316C22⋊C4×D11—42no—
317C22⋊C4×D11—42no—
318C22⋊C4×D11C2×C418yescomplemented
319C22⋊C4×D11C2×C418yescomplemented
320#66932C2×C418yescomplemented
321C4×D44—42no—
322C4×D44C2×C418yescomplemented
323#66925—42no—
324#66925C2×C418yescomplemented
325C42×D11—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#34458—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C22×C414yes—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11C22×C414yes—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44C22×C414yes—
423C2×D44C22×C414yes—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11C22×C414yes—
453C2×C4×D11C22×C414yes—
454C2×C4×D11C22×C414yes—
455C2×C4×D11C22×C414yes—
456C2×C4×D11C22×C414yes—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22C22×C414yes—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C4⋊C4C22×C414yes—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—41no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4C22×C414yes—
472C11×C22⋊C4C22×C414yes—
473C11×C22⋊C4C22×C414yes—
474C42×C11—41no—
475C42×C11—41no—
476C42×C11—41no—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11C22×C414yes—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11C22×C414yes—
486C22⋊Dic11C22×C414yes—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4C22×C414yes—
506(C2×D11)⋊C4C22×C414yes—
507(C2×D11)⋊C4C22×C414yes—
508(C2×D11)⋊C4C22×C414yes—
509(C2×D11)⋊C4C22×C414yes—
510(C2×D11)⋊C4C22×C414yes—
511(C2×D11)⋊C4C22×C414yes—
512(C2×D11)⋊C4C22×C414yes—
513(C2×D11)⋊C4C22×C414yes—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11C22×C414yes—
522C4⋊Dic11C22×C414yes—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4C22×C414yes—
538Dic11⋊C4C22×C414yes—
539Dic11⋊C4C22×C414yes—
540C4×Dic11—22no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11C22×C414yes—
552C4×Dic11C22×C414yes—
553C2×#551—111no—
554#2383—111no—
555#2378—111no—
556#2376—111no—
557#2376—111no—
558#2373D1111yescharacteristic, complemented
559#2367—111no—
560#2360—111no—
561#2359—111no—
562#2358—111no—
563#2352—111no—
564D4×C4⋊C4—111no—
565#2347—111no—
566#2343—111no—
567#2342—111no—
568#2342—111no—
569#2337—111no—
570#2335—111no—
571#2334—111no—
572#2334—111no—
573#2329—111no—
574#2323—111no—
575#2322—111no—
576#2321—111no—
577#2319—111no—
578#2318—111no—
579#2315—111no—
580#2314—111no—
581C4×#123—111no—
582#2296—111no—
583C2×#388—111no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11C23×C412yes—
591C23×C11C2511yescharacteristic
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—28no—
609C22×D11—44no—
610C22×D11—44no—
611C22×D11—82no—
612C22×D11—82no—
613C22×D11—82no—
614C22×D11—82no—
615C22×D11C23×C412yes—
616C22×D11C23×C412yes—
617C22×D11C23×C412yes—
618C22×D11H(5,𝔽2)12yes—
619C22×D112−1+412yes—
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—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—82no—
656C2×C4×C11C23×C412yes—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C2×C4×C11C23×C412yes—
661C2×C4×C11C23×C412yes—
662C2×C4×C11H(5,𝔽2)12yes—
663C22⋊D11—44no—
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—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—82no—
699C2×Dic11C23×C412yes—
700C2×Dic11C23×C412yes—
701C2×Dic11C23×C412yes—
702C2×Dic11C23×C412yes—
703C2×Dic11C23×C412yes—
704D44—28no—
705D44—44no—
706C4×D11—28no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—44no—
713C4×D11—82no—
714C4×D11—82no—
715C4×D11—82no—
716C4×D11—82no—
717Dic22—44no—
718#551—1116no—
719C2×#126—111no—
720C2×#126C2×D1111yescharacteristic
721C2×#124—111no—
722C2×#123—111no—
723C2×#123—111no—
724C2×#123—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×#120—111no—
728C2×C4×Q8—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4—111no—
733C2×C4×D4—111no—
734C2×#117—111no—
735C2×#117—111no—
736C2×#117—111no—
737C2×#117—111no—
738C22×C4⋊C4—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C22⋊C4—111no—
743C22×C22⋊C4—111no—
744C22×C22⋊C4—111no—
745C22×C42—111no—
746#391—111no—
747#391—111no—
748#391—111no—
749#390—111no—
750#390—111no—
751#390—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389C2×D1111yescharacteristic, complemented
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#388—111no—
787#388—111no—
788#388—111no—
789#388C2×D1111yescharacteristic
790#388C2×D1111yescharacteristic
791#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic, complemented
806#387C2×D1111yescharacteristic, complemented
807#387C2×D1111yescharacteristic, complemented
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
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#385C2×D1111yescharacteristic
832#384—111no—
833#383—111no—
834#383—111no—
835#382—111no—
836#382—111no—
837#381—111no—
838#381—111no—
839#381—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#380—111no—
846#380—111no—
847#380—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4C2×D1111yescharacteristic, complemented
857C4×C4⋊C4C2×D1111yescharacteristic, complemented
858C4×C4⋊C4C2×D1111yescharacteristic, complemented
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4C2×D1111yescharacteristic
870C4×C22⋊C4C2×D1111yescharacteristic
871#376C2×D1111yescharacteristic, complemented
872C2×#95—111no—
873C2×#95—111no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11C24×C411yescharacteristic
882C22×C11C2×H(5,𝔽2)11yescharacteristic
883C22×C11C2×H(5,𝔽2)11yescharacteristic
884C22×C11C2×2−1+411yescharacteristic
885C22×C11#58511yescharacteristic
886C22×C11#58511yescharacteristic
887C22×C11#58511yescharacteristic
888C2×D11—22no—
889C2×D11—22no—
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—22no—
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—22no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—88no—
909C2×D11#52014yes—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924Dic11—22no—
925Dic11—22no—
926Dic11—22no—
927Dic11—22no—
928Dic11—22no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937C25—111no—
938C22×Q8—111no—
939C22×D4—111no—
940C22×D4—111no—
941C22×D4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—111no—
950C23×C4—111no—
951C23×C4—111no—
952C23×C4—111no—
953C23×C4—111no—
954C23×C4C22×D1111yescharacteristic
955#126—118no—
956#126C4×D1118yescomplemented
957#124—118no—
958#123—118no—
959#123—118no—
960#123—118no—
961C22⋊Q8—118no—
962C22⋊Q8—118no—
963#120—118no—
964C4×Q8—442no—
965C4×D4—118no—
966C4×D4—118no—
967C4×D4—442no—
968C4×D4—442no—
969C4×D4—442no—
970#117—118no—
971#117—118no—
972#117—442no—
973#117—442no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—442no—
1001C2×C4⋊C4—442no—
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
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—118no—
1022C2×C22⋊C4—118no—
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⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—442no—
1045C2×C22⋊C4—442no—
1046C2×C22⋊C4—442no—
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
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×C42—442no—
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073C2×C42C22×D1111yescharacteristic
1074C2×C42C22×D1111yescharacteristic
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#95—111no—
1105#95—111no—
1106#95—111no—
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119C2×C11—42no—
1120C2×C11C2×#52011yescharacteristic
1121C2×C11#342811yescharacteristic
1122C2×C11C4×H(5,𝔽2)11yescharacteristic
1123C2×C11#353311yescharacteristic
1124C2×C11#353411yescharacteristic
1125C2×C11#356111yescharacteristic
1126C2×C11#356411yescharacteristic
1127D11—24no—
1128D11—42no—
1129D11—42no—
1130C24—111no—
1131C24—111no—
1132C24—111no—
1133C24—114no—
1134C24—222no—
1135C24—222no—
1136C24—441no—
1137C24—441no—
1138C24—441no—
1139C24—441no—
1140C24C23×D1111yescharacteristic
1141C2×Q8—114no—
1142C2×Q8—441no—
1143C2×Q8—441no—
1144C2×D4—114no—
1145C2×D4—114no—
1146C2×D4—114no—
1147C2×D4—222no—
1148C2×D4—222no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—114no—
1162C22×C4—114no—
1163C22×C4—114no—
1164C22×C4—114no—
1165C22×C4—114no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—111no—
1171C22×C4—111no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
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×C4—441no—
1204C22×C4—441no—
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
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—114no—
1225C4⋊C4—114no—
1226C4⋊C4—114no—
1227C4⋊C4—114no—
1228C4⋊C4—114no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
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⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4C2×C4×D1114yes—
1251C4⋊C4C2×C4×D1114yes—
1252C4⋊C4C2×C4×D1114yes—
1253C22⋊C4—22no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—114no—
1257C22⋊C4—114no—
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—222no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1289C22⋊C4C2×C4×D1114yes—
1290C22⋊C4C2×C4×D1114yes—
1291C42—41no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—114no—
1299C42—114no—
1300C42—222no—
1301C42—441no—
1302C42—441no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42—441no—
1311C42C2×C4×D1114yes—
1312C11#3445811yescharacteristic, complemented, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—112no—
1320C23—112no—
1321C23—112no—
1322C23—112no—
1323C23—112no—
1324C23—228no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—444no—
1342C23—444no—
1343C23—882no—
1344C23—882no—
1345C23—882no—
1346C23—882no—
1347C23C22×C4×D1112yes—
1348C23C24×D1111yescharacteristic
1349Q8—444no—
1350D4—228no—
1351D4—444no—
1352D4—444no—
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—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—82no—
1389C2×C4—112no—
1390C2×C4—112no—
1391C2×C4—112no—
1392C2×C4—112no—
1393C2×C4—112no—
1394C2×C4—228no—
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—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—444no—
1430C2×C4—444no—
1431C2×C4—444no—
1432C2×C4—444no—
1433C2×C4—444no—
1434C2×C4—444no—
1435C2×C4—882no—
1436C2×C4—882no—
1437C2×C4—882no—
1438C2×C4—882no—
1439C2×C4—882no—
1440C2×C4C22×C4×D1112yes—
1441C2×C4C22×C4×D1112yes—
1442C2×C4C22×C4×D1112yes—
1443C2×C4C22×C4×D1112yes—
1444C2×C4C22×C4×D1112yes—
1445C2×C4C22×C4×D1112yes—
1446C2×C4#6704212yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—114no—
1455C22—222no—
1456C22—222no—
1457C22—222no—
1458C22—222no—
1459C22—222no—
1460C22—222no—
1461C22—222no—
1462C22—222no—
1463C22—222no—
1464C22—222no—
1465C22—222no—
1466C22—222no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—888no—
1476C22C23×C4×D1111yescharacteristic
1477C22C2×#6704211yescharacteristic
1478C22#1062345311yescharacteristic
1479C22#1062345311yescharacteristic
1480C22#1062345311yescharacteristic
1481C22D11×H(5,𝔽2)11yescharacteristic
1482C22D11×2−1+411yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—222no—
1498C4—222no—
1499C4—222no—
1500C4—222no—
1501C4—222no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C2—42no—
1511C2—224no—
1512C2—442no—
1513C2—442no—
1514C2D11×#52011yescharacteristic
1515C2#1308181511yescharacteristic
1516C2C4×#6704211yescharacteristic
1517C2#1308278111yescharacteristic
1518C2#1308279311yescharacteristic
1519C2#1308318511yescharacteristic
1520C2#1308322711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2373C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenter#2373D11
hypocenterC11#34458
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #13071803C2semidirect
3. #13071781C2semidirect
4. #13071765C2semidirect
5. #13071763C2semidirect
6. #13071682C2semidirect
7. #13071623C2semidirect
8. #13071601C2semidirect
10. #13071548C2semidirect
11. #13071517C2semidirect
12. #13071505C2semidirect
13. #13071477C2semidirect
14. #13071464C2semidirect
15. #13071459C2semidirect
16. #13071424C2semidirect
17. #13071400C2semidirect
18. #13071395C2semidirect
19. #13071393C2semidirect
20. #13071345C2semidirect
21. #13071293C2semidirect
22. #13071286C2semidirect
24. #13071260C2semidirect
25. #13071248C2semidirect
26. #13071227C2semidirect
27. #13071222C2semidirect
28. C4×#66947C2semidirect
29. #13071096C2semidirect
30. D11×#388C2semidirect
31. C11×#2373C2semidirect
34. #10623236C4semidirect
44. C2×C4⋊C4×D11C22semidirect
45. C2×#66940C22semidirect
60. C11×#389C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
66. C11×#387C22semidirect
68. C4×C11×C4⋊C4C22semidirect
69. C4×C11×C4⋊C4C22semidirect
70. C4×C11×C4⋊C4C22semidirect
73. C11×#376C22semidirect
79. #10622603C22semidirect
83. #10622602C22semidirect
86. #10622600C22semidirect
87. #10622598C22semidirect
88. #10622598C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622589C22semidirect
93. C4⋊C4×Dic11C22semidirect
94. #10622586C22semidirect
95. #10622585C22semidirect
96. #10622585C22semidirect
97. #10622585C22semidirect
117. #10622553C22semidirect
125. C4×(C2×D11)⋊C4C22semidirect
126. C4×(C2×D11)⋊C4C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. #10622549C22semidirect
129. C4×C4⋊Dic11C22semidirect
130. #10622546C22semidirect
131. #10622546C22semidirect
132. C4×Dic11⋊C4C22semidirect
133. C4×Dic11⋊C4C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. #10622542C22semidirect
137. #10622541C22semidirect
138. #10622541C22semidirect
139. #10622541C22semidirect
146. #10622282C22semidirect
147. #10622282C22semidirect
148. #10622282C22semidirect
149. #10622282C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
161. #10622280C22semidirect
169. #10622277C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622262C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
206. C11×#126C2×C4semidirect
301. #66950C2×C4semidirect
302. #66949C2×C4semidirect
303. #66947C2×C4semidirect
304. #66947C2×C4semidirect
306. #66946C2×C4semidirect
308. #66945C2×C4semidirect
312. #66938C2×C4semidirect
313. #66936C2×C4semidirect
318. C22⋊C4×D11C2×C4semidirect
319. C22⋊C4×D11C2×C4semidirect
320. #66932C2×C4semidirect
322. C4×D44C2×C4semidirect
324. #66925C2×C4semidirect
558. #2373D11semidirect
763. #389C2×D11semidirect
805. #387C2×D11semidirect
806. #387C2×D11semidirect
807. #387C2×D11semidirect
856. C4×C4⋊C4C2×D11semidirect
857. C4×C4⋊C4C2×D11semidirect
858. C4×C4⋊C4C2×D11semidirect
871. #376C2×D11semidirect
956. #126C4×D11semidirect
1312. C11#34458semidirect

Maximal subgroups

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

subgroupindex
C2×#106232362
#130718032
#130717812
#130717652
#130717632
#130716822
#130716232
#130716012
#130715982
#130715482
#130715172
#130715052
#130714772
#130714642
#130714592
#130714242
#130714002
#130713952
#130713932
#130713452
#130712932
#130712862
#130712692
#130712602
#130712482
#130712272
#130712222
C4×#669472
#130710962
D11×#3882
C11×#23732
#3445811