Finite Group Databasebeta

← #14917316

Subgroups — #14917316

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic
2#13071808C211yesmaximal, characteristic, complemented
3#13071785C211yesmaximal, characteristic, complemented
4#13071769C211yesmaximal, characteristic, complemented
5#13071758C211yesmaximal, characteristic, complemented
6#13071700C211yesmaximal, characteristic, complemented
7#13071688C211yesmaximal, characteristic, complemented
8#13071662C211yesmaximal, characteristic, complemented
9#13071635C211yesmaximal, characteristic, complemented
10#13071634C211yesmaximal, characteristic, complemented
11#13071624C211yesmaximal, characteristic, complemented
12#13071609C211yesmaximal, characteristic, complemented
13#13071557C211yesmaximal, characteristic, complemented
14#13071540C211yesmaximal, characteristic, complemented
15#13071525C211yesmaximal, characteristic, complemented
16C4⋊C4×D44C211yesmaximal, characteristic, complemented
17#13071429C211yesmaximal, characteristic, complemented
18#13071409C211yesmaximal, characteristic, complemented
19#13071394C211yesmaximal, characteristic, complemented
20#13071385C211yesmaximal, characteristic, complemented
21#13071327C211yesmaximal, characteristic, complemented
22#13071315C211yesmaximal, characteristic, complemented
23#13071310C211yesmaximal, characteristic, complemented
24#13071289C211yesmaximal, characteristic, complemented
25#13071278C211yesmaximal, characteristic, complemented
26#13071269C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29C4×#66935C211yesmaximal, characteristic, complemented
30D11×#385C211yesmaximal, characteristic, complemented
31C11×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36#10623235C4116yescomplemented
37C2×#66951C2211yescharacteristic
38C2×#66949C2211yescharacteristic
39C2×#66948C2211yescharacteristic
40C2×#66948C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66946C2211yescharacteristic, complemented
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic, complemented
48C2×#66938C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×#66935C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×#66928C2211yescharacteristic
56C2×C4×D44C2211yescharacteristic
57C2×C4×D44C2211yescharacteristic
58C2×C4×D44C2211yescharacteristic
59C2×C4×D44C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×#66925C2211yescharacteristic, complemented
63C2×C4×Dic22C2211yescharacteristic, complemented
64C11×#389C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#388C2211yescharacteristic
68C11×#387C2211yescharacteristic, complemented
69C11×#387C2211yescharacteristic, complemented
70C11×#387C2211yescharacteristic, complemented
71C11×#385C2211yescharacteristic
72C4×C11×C4⋊C4C2211yescharacteristic, complemented
73C4×C11×C4⋊C4C2211yescharacteristic, complemented
74C4×C11×C4⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic
76C4×C11×C22⋊C4C2211yescharacteristic
77C11×#376C2211yescharacteristic, complemented
78#10622823C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic, complemented
87#10622601C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic, complemented
90#10622600C2211yescharacteristic, complemented
91#10622598C2211yescharacteristic, complemented
92#10622598C2211yescharacteristic, complemented
93#10622598C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622590C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622568C2211yescharacteristic
107#10622568C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622563C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic, complemented
120#10622553C2211yescharacteristic, complemented
121#10622553C2211yescharacteristic, complemented
122#10622553C2211yescharacteristic, complemented
123#10622552C2211yescharacteristic
124#10622552C2211yescharacteristic, complemented
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
132#10622550C2211yescharacteristic, complemented
133#10622548C2211yescharacteristic, complemented
134#10622546C2211yescharacteristic, complemented
135#10622546C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137#10622542C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622541C2211yescharacteristic, complemented
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic, complemented
143#10622283C2211yescharacteristic, complemented
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic, complemented
154#10622281C2211yescharacteristic, complemented
155#10622281C2211yescharacteristic, complemented
156#10622281C2211yescharacteristic, complemented
157#10622281C2211yescharacteristic, complemented
158#10622280C2211yescharacteristic
159#10622280C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—42no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
216C11×#126C2×C418yescomplemented
217C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C4×C22⋊D11—42no—
244C4×C22⋊D11—42no—
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×(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×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
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
309#66951C2×C418yescomplemented
310#66949C2×C418yescomplemented
311#66948C2×C418yescomplemented
312#66948C2×C418yescomplemented
313#66947C2×C418yescomplemented
314#66946—42no—
315#66946—42no—
316#66946C2×C418yescomplemented
317C4⋊C4×D11—42no—
318C4⋊C4×D11—42no—
319C4⋊C4×D11—42no—
320#66938C2×C418yescomplemented
321#66937C2×C418yescomplemented
322#66936C2×C418yescomplemented
323#66935C2×C418yescomplemented
324#66935C2×C418yescomplemented
325C22⋊C4×D11—42no—
326C22⋊C4×D11C2×C418yescomplemented
327#66928C2×C418yescomplemented
328C4×D44—42no—
329C4×D44—42no—
330C4×D44—42no—
331C4×D44—42no—
332C4×D44—42no—
333C4×D44C2×C418yescomplemented
334#66925—42no—
335C4×Dic22—42no—
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376#34416—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11C22×C414yes—
411C2×C22⋊D11C22×C414yes—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—41no—
432C2×D44—41no—
433C2×D44—41no—
434C2×D44—41no—
435C2×D44—41no—
436C2×D44—41no—
437C2×D44C22×C414yes—
438C2×D44C22×C414yes—
439C2×D44C22×C414yes—
440C2×D44C22×C414yes—
441C2×D44C22×C414yescomplemented
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
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—41no—
480C2×C4×D11—416no—
481C2×C4×D11C22×C414yes—
482C2×C4×D11C22×C414yes—
483C2×C4×D11C22×C414yescomplemented
484C2×C4×D11C22×C414yescomplemented
485C2×Dic22—41no—
486C2×Dic22—41no—
487C2×Dic22C22×C414yescomplemented
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4C22×C414yescomplemented
494C11×C4⋊C4C22×C414yescomplemented
495C11×C4⋊C4C22×C414yescomplemented
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4C22×C414yes—
500C11×C22⋊C4C22×C414yes—
501C11×C22⋊C4C22×C414yes—
502C42×C11—22no—
503C42×C11—22no—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C42×C11C22×C414yescomplemented
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11C22×C414yes—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
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)⋊C4C22×C414yes—
542(C2×D11)⋊C4C22×C414yescomplemented
543(C2×D11)⋊C4C22×C414yescomplemented
544(C2×D11)⋊C4C22×C414yescomplemented
545(C2×D11)⋊C4C22×C414yescomplemented
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11C22×C414yescomplemented
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4C22×C414yescomplemented
567Dic11⋊C4C22×C414yescomplemented
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×Dic11C22×C414yescomplemented
578C2×#538—111no—
579#2383—111no—
580#2379—111no—
581#2377—111no—
582#2376—111no—
583#2373D1111yescharacteristic, complemented
584#2368—111no—
585#2367—111no—
586#2364—111no—
587#2361—111no—
588#2361—111no—
589#2360—111no—
590#2359—111no—
591#2353—111no—
592#2352—111no—
593#2349—111no—
594D4×C4⋊C4—111no—
595#2337—111no—
596#2335—111no—
597#2334—111no—
598#2334—111no—
599#2326—111no—
600#2325—111no—
601#2324—111no—
602#2322—111no—
603#2321—111no—
604#2321—111no—
605#2312—111no—
606C4×#120—111no—
607C4×#120—111no—
608C2×#385—111no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11C23×C412yes—
616C23×C11C2511yescharacteristic
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
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×D11C23×C412yes—
647C22×D11C23×C412yes—
648C22×D11C23×C412yes—
649C22×D11C23×C412yes—
650C22×D11H(5,𝔽2)12yes—
651C22×D112−1+412yes—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
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—44no—
687C2×C4×C11C23×C412yes—
688C2×C4×C11C23×C412yes—
689C2×C4×C11C23×C412yes—
690C2×C4×C11C23×C412yes—
691C2×C4×C11C23×C412yes—
692C2×C4×C11C23×C412yes—
693C2×C4×C11H(5,𝔽2)12yes—
694C2×C4×C11H(5,𝔽2)12yes—
695C22⋊D11—44no—
696C22⋊D11—44no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
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—44no—
730C2×Dic11C23×C412yes—
731C2×Dic11C23×C412yes—
732C2×Dic11C23×C412yes—
733C2×Dic11C23×C412yes—
734D44—28no—
735D44—28no—
736D44—44no—
737D44—44no—
738D44—44no—
739C4×D11—44no—
740C4×D11—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746C4×D11—44no—
747C4×D11—82no—
748C4×D11—82no—
749C4×D11—82no—
750C4×D11—82no—
751C4×D11—82no—
752C4×D11—82no—
753Dic22—44no—
754C24×C4—111no—
755#538—1116no—
756C2×#126—111no—
757C2×#126C2×D1111yescharacteristic
758C2×#124—111no—
759C2×#124—111no—
760C2×#123—111no—
761C2×#123—111no—
762C2×C22⋊Q8—111no—
763C2×#121—111no—
764C2×#121—111no—
765C2×#121—111no—
766C2×#120—111no—
767C2×#120—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×#117—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C22⋊C4—111no—
785C22×C22⋊C4—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#390—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389C2×D1111yescharacteristic, complemented
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#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388C2×D1111yescharacteristic
824#388C2×D1111yescharacteristic
825#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic, complemented
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385C2×D1111yescharacteristic
874#384—111no—
875#383—111no—
876#382—111no—
877#382—111no—
878#381—111no—
879#380—111no—
880#380—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#379—111no—
885#379—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4C2×D1111yescharacteristic, complemented
891C4×C4⋊C4C2×D1111yescharacteristic, complemented
892C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic
905C4×C22⋊C4C2×D1111yescharacteristic
906#376C2×D1111yescharacteristic, complemented
907C2×#95—111no—
908C2×#95—111no—
909C2×#95—111no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11C24×C411yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×2−1+411yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
924C2×D11—22no—
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—416no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11#52014yes—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967Dic11—22no—
968Dic11—22no—
969Dic11—22no—
970Dic11—22no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979C25—111no—
980C22×Q8—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—442no—
1004C23×C4—442no—
1005C23×C4—442no—
1006C23×C4C22×D1111yescharacteristic
1007#126—118no—
1008#126C4×D1118yescomplemented
1009#124—118no—
1010#124—118no—
1011#123—118no—
1012#123—118no—
1013C22⋊Q8—118no—
1014#121—118no—
1015#121—118no—
1016#121—118no—
1017#120—118no—
1018#120—118no—
1019C4×Q8—442no—
1020C4×D4—118no—
1021C4×D4—118no—
1022C4×D4—442no—
1023C4×D4—442no—
1024C4×D4—442no—
1025C4×D4—442no—
1026C4×D4—442no—
1027C4×D4—442no—
1028C4×D4—442no—
1029C4×D4—442no—
1030C4×D4—442no—
1031#117—442no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
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—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—442no—
1055C2×C4⋊C4—442no—
1056C2×C4⋊C4—442no—
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
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—118no—
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—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—442no—
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
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×C42C22×D1111yescharacteristic
1120C2×C42C22×D1111yescharacteristic
1121C2×C42C22×D1111yescharacteristic
1122C2×C42C22×D1111yescharacteristic
1123C2×C42C22×D1111yescharacteristic
1124C2×C42C22×D1111yescharacteristic
1125C2×C42C22×D1111yescharacteristic
1126C2×C42C22×D1111yescharacteristic
1127#95—111no—
1128#95—111no—
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#95C22×D1111yescharacteristic
1156#95C22×D1111yescharacteristic
1157#95C22×D1111yescharacteristic
1158#95C22×D1111yescharacteristic
1159#95C22×D1111yescharacteristic
1160#95C22×D1111yescharacteristic
1161#95C22×D1111yescharacteristic
1162#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167C2×C11—42no—
1168C2×C11C2×#52011yescharacteristic
1169C2×C11C4×H(5,𝔽2)11yescharacteristic
1170C2×C11C4×H(5,𝔽2)11yescharacteristic
1171C2×C11#353211yescharacteristic
1172C2×C11#353311yescharacteristic
1173C2×C11#354111yescharacteristic
1174C2×C11#354111yescharacteristic
1175D11—24no—
1176D11—42no—
1177D11—42no—
1178D11—42no—
1179C24—111no—
1180C24—111no—
1181C24—111no—
1182C24—111no—
1183C24—114no—
1184C24—222no—
1185C24—222no—
1186C24—441no—
1187C24—441no—
1188C24—441no—
1189C24—441no—
1190C24C23×D1111yescharacteristic
1191C2×Q8—114no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×D4—114no—
1195C2×D4—114no—
1196C2×D4—114no—
1197C2×D4—114no—
1198C2×D4—114no—
1199C2×D4—114no—
1200C2×D4—114no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C2×D4—441no—
1214C2×D4—441no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—114no—
1223C22×C4—114no—
1224C22×C4—114no—
1225C22×C4—114no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—441no—
1259C22×C4—441no—
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—4416no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—114no—
1296C4⋊C4—114no—
1297C4⋊C4—114no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
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×D1114yescomplemented
1318C4⋊C4C2×C4×D1114yescomplemented
1319C4⋊C4C2×C4×D1114yescomplemented
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—114no—
1324C22⋊C4—114no—
1325C22⋊C4—114no—
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—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4C2×C4×D1114yes—
1360C22⋊C4C2×C4×D1114yes—
1361C22⋊C4C2×C4×D1114yes—
1362C42—22no—
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—114no—
1370C42—441no—
1371C42—441no—
1372C42—441no—
1373C42—441no—
1374C42—441no—
1375C42—441no—
1376C42—441no—
1377C42—441no—
1378C42—441no—
1379C42C2×C4×D1114yescomplemented
1380C11#3441611yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—112no—
1388C23—112no—
1389C23—112no—
1390C23—112no—
1391C23—112no—
1392C23—112no—
1393C23—228no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—444no—
1417C23—444no—
1418C23—444no—
1419C23—444no—
1420C23—444no—
1421C23—444no—
1422C23C22×C4×D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—444no—
1425D4—228no—
1426D4—228no—
1427D4—444no—
1428D4—444no—
1429D4—444no—
1430D4—444no—
1431D4—444no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
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—44no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
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—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4—882no—
1518C2×C4C22×C4×D1112yes—
1519C2×C4C22×C4×D1112yes—
1520C2×C4C22×C4×D1112yes—
1521C2×C4C22×C4×D1112yes—
1522C2×C4C22×C4×D1112yes—
1523C2×C4C22×C4×D1112yes—
1524C2×C4#6704212yes—
1525C2×C4#6704212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—114no—
1534C22—222no—
1535C22—222no—
1536C22—222no—
1537C22—222no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—4416no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22C23×C4×D1111yescharacteristic
1563C22C2×#6704211yescharacteristic
1564C22C2×#6704211yescharacteristic
1565C22#1062345311yescharacteristic
1566C22#1062345311yescharacteristic
1567C22D11×H(5,𝔽2)11yescharacteristic
1568C22D11×2−1+411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—222no—
1584C4—222no—
1585C4—222no—
1586C4—222no—
1587C4—441no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C2—42no—
1596C2—224no—
1597C2—442no—
1598C2—442no—
1599C2—442no—
1600C2D11×#52011yescharacteristic
1601C2C4×#6704211yescharacteristic
1602C2C4×#6704211yescharacteristic
1603C2#1308277211yescharacteristic
1604C2#1308277411yescharacteristic
1605C2#1308291211yescharacteristic
1606C2#1308291611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2373C2
socle, cosocleC23×C11C25
prime radicalC2×#10623235C2
hypercenter#2373D11
hypocenterC11#34416
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #13071808C2semidirect
3. #13071785C2semidirect
4. #13071769C2semidirect
5. #13071758C2semidirect
6. #13071700C2semidirect
7. #13071688C2semidirect
8. #13071662C2semidirect
9. #13071635C2semidirect
10. #13071634C2semidirect
11. #13071624C2semidirect
12. #13071609C2semidirect
13. #13071557C2semidirect
14. #13071540C2semidirect
15. #13071525C2semidirect
16. C4⋊C4×D44C2semidirect
17. #13071429C2semidirect
18. #13071409C2semidirect
19. #13071394C2semidirect
20. #13071385C2semidirect
21. #13071327C2semidirect
22. #13071315C2semidirect
23. #13071310C2semidirect
24. #13071289C2semidirect
25. #13071278C2semidirect
26. #13071269C2semidirect
27. #13071210C2semidirect
28. C4×#66935C2semidirect
29. C4×#66935C2semidirect
30. D11×#385C2semidirect
31. C11×#2373C2semidirect
36. #10623235C4semidirect
44. C2×#66946C22semidirect
47. C2×C4⋊C4×D11C22semidirect
62. C2×#66925C22semidirect
63. C2×C4×Dic22C22semidirect
64. C11×#389C22semidirect
68. C11×#387C22semidirect
69. C11×#387C22semidirect
70. C11×#387C22semidirect
72. C4×C11×C4⋊C4C22semidirect
73. C4×C11×C4⋊C4C22semidirect
74. C4×C11×C4⋊C4C22semidirect
77. C11×#376C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
86. #10622602C22semidirect
89. #10622600C22semidirect
90. #10622600C22semidirect
91. #10622598C22semidirect
92. #10622598C22semidirect
93. #10622598C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622591C22semidirect
98. #10622590C22semidirect
99. #10622585C22semidirect
119. #10622553C22semidirect
120. #10622553C22semidirect
121. #10622553C22semidirect
122. #10622553C22semidirect
124. #10622552C22semidirect
131. C4×(C2×D11)⋊C4C22semidirect
132. #10622550C22semidirect
133. #10622548C22semidirect
134. #10622546C22semidirect
135. #10622546C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. #10622542C22semidirect
138. #10622541C22semidirect
139. #10622541C22semidirect
142. #10622283C22semidirect
143. #10622283C22semidirect
153. #10622281C22semidirect
154. #10622281C22semidirect
155. #10622281C22semidirect
156. #10622281C22semidirect
157. #10622281C22semidirect
159. #10622280C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622277C22semidirect
177. D11×#95C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622263C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
216. C11×#126C2×C4semidirect
309. #66951C2×C4semidirect
310. #66949C2×C4semidirect
311. #66948C2×C4semidirect
312. #66948C2×C4semidirect
313. #66947C2×C4semidirect
316. #66946C2×C4semidirect
320. #66938C2×C4semidirect
321. #66937C2×C4semidirect
322. #66936C2×C4semidirect
323. #66935C2×C4semidirect
324. #66935C2×C4semidirect
326. C22⋊C4×D11C2×C4semidirect
327. #66928C2×C4semidirect
333. C4×D44C2×C4semidirect
441. C2×D44C22×C4semidirect
483. C2×C4×D11C22×C4semidirect
484. C2×C4×D11C22×C4semidirect
487. C2×Dic22C22×C4semidirect
493. C11×C4⋊C4C22×C4semidirect
494. C11×C4⋊C4C22×C4semidirect
495. C11×C4⋊C4C22×C4semidirect
509. C42×C11C22×C4semidirect
542. (C2×D11)⋊C4C22×C4semidirect
543. (C2×D11)⋊C4C22×C4semidirect
544. (C2×D11)⋊C4C22×C4semidirect
545. (C2×D11)⋊C4C22×C4semidirect
555. C4⋊Dic11C22×C4semidirect
566. Dic11⋊C4C22×C4semidirect
567. Dic11⋊C4C22×C4semidirect
577. C4×Dic11C22×C4semidirect
583. #2373D11semidirect
801. #389C2×D11semidirect
835. #387C2×D11semidirect
836. #387C2×D11semidirect
837. #387C2×D11semidirect
890. C4×C4⋊C4C2×D11semidirect
891. C4×C4⋊C4C2×D11semidirect
892. C4×C4⋊C4C2×D11semidirect
906. #376C2×D11semidirect
1008. #126C4×D11semidirect
1317. C4⋊C4C2×C4×D11semidirect
1318. C4⋊C4C2×C4×D11semidirect
1319. C4⋊C4C2×C4×D11semidirect
1379. C42C2×C4×D11semidirect
1380. C11#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
#130718082
#130717852
#130717692
#130717582
#130717002
#130716882
#130716622
#130716352
#130716342
#130716242
#130716092
#130715572
#130715402
#130715252
C4⋊C4×D442
#130714292
#130714092
#130713942
#130713852
#130713272
#130713152
#130713102
#130712892
#130712782
#130712692
#130712102
C4×#669352
D11×#3852
C11×#23732
#3441611