Finite Group Databasebeta

← C4×#10623058 #14913652

Subgroups — C4×#10623058 #14913652

Order 2816.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623058C211yesmaximal, characteristic
2#13071745C211yesmaximal, characteristic, complemented
3#13071741C211yesmaximal, characteristic, complemented
4#13071736C211yesmaximal, characteristic, complemented
5#13071726C211yesmaximal, characteristic, complemented
6#13071700C211yesmaximal, characteristic, complemented
7#13071694C211yesmaximal, characteristic, complemented
8#13071613C211yesmaximal, characteristic, complemented
9#13071608C211yesmaximal, characteristic, complemented
10#13071598C211yesmaximal, characteristic
11#13071557C211yesmaximal, characteristic, complemented
12#13071550C211yesmaximal, characteristic, complemented
13#13071477C211yesmaximal, characteristic, complemented
14#13071476C211yesmaximal, characteristic, complemented
15#13071466C211yesmaximal, characteristic, complemented
16#13071459C211yesmaximal, characteristic, complemented
17C4×#66951C211yesmaximal, characteristic, complemented
18C4×#66929C211yesmaximal, characteristic, complemented
19C4×#66928C211yesmaximal, characteristic, complemented
20C4×#66949C211yesmaximal, characteristic, complemented
21C4×#66931C211yesmaximal, characteristic, complemented
22C4×#66947C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66982C211yesmaximal, characteristic, complemented
25C4×#66935C211yesmaximal, characteristic
26C42×D44C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×#66925C211yesmaximal, characteristic, complemented
29C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#117C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C2×C4×C22⋊D11C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×(C2×D11)⋊C4C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41#10623058C4116yesdirect product factor
42C2×#66951C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66947C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66931C2211yescharacteristic
52C2×#66929C2211yescharacteristic
53C2×#66928C2211yescharacteristic
54C2×C4×D44C2211yescharacteristic
55C2×C4×D44C2211yescharacteristic
56C2×C4×D44C2211yescharacteristic
57C2×C4×D44C2211yescharacteristic
58C2×#66925C2211yescharacteristic
59C2×#66925C2211yescharacteristic
60C2×C42×D11C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic, complemented
63C2×C4×Dic22C2211yescharacteristic, complemented
64C4×C11×C4⋊C4C2211yescharacteristic, complemented
65C4×C11×C4⋊C4C2211yescharacteristic, complemented
66C4×C11×C4⋊C4C2211yescharacteristic, complemented
67C4×C11×C4⋊C4C2211yescharacteristic, complemented
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C11×#376C2211yescharacteristic, complemented
73C11×#376C2211yescharacteristic, complemented
74C43×C11C2211yescharacteristic, complemented
75C43×C11C2211yescharacteristic, complemented
76#10622826C2211yescharacteristic
77#10622824C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81C2×C11⋊#95C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622571C2211yescharacteristic
95#10622568C2211yescharacteristic
96#10622563C2211yescharacteristic
97#10622563C2211yescharacteristic
98#10622559C2211yescharacteristic
99#10622555C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103C22⋊C4×Dic11C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic, complemented
110#10622553C2211yescharacteristic, complemented
111#10622553C2211yescharacteristic, complemented
112#10622553C2211yescharacteristic, complemented
113#10622552C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
131C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
134C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
135#10622550C2211yescharacteristic, complemented
136#10622549C2211yescharacteristic, complemented
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138C4×C4⋊Dic11C2211yescharacteristic, complemented
139C4×C4⋊Dic11C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143#10622546C2211yescharacteristic, complemented
144#10622546C2211yescharacteristic, complemented
145#10622545C2211yescharacteristic, complemented
146#10622545C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C4×Dic11⋊C4C2211yescharacteristic, complemented
149C4×Dic11⋊C4C2211yescharacteristic, complemented
150C4×Dic11⋊C4C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155#10622542C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622282C2211yescharacteristic
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—24no—
199C22×C4×D11—24no—
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×Dic22C2311yescharacteristic
213C11×#117—24no—
214C11×#117C2×C418yescomplemented
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11—24no—
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
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×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66982C2×C418yescomplemented
244C4×C22⋊D11—24no—
245C2×(C2×D11)⋊C4—24no—
246C2×(C2×D11)⋊C4C2×C418yescomplemented
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×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11—42no—
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310#66951C2×C418yescomplemented
311#66949C2×C418yescomplemented
312#66947C2×C418yescomplemented
313#66947C2×C418yescomplemented
314#66935C2×C418yes—
315(C22⋊D11)⋊C4—24no—
316(C22⋊D11)⋊C4C2×C418yescomplemented
317C22⋊C4×D11—24no—
318C22⋊C4×D11C2×C418yescomplemented
319#66931C2×C418yescomplemented
320#66929C2×C418yescomplemented
321#66928C2×C418yescomplemented
322C4×D44—24no—
323C4×D44—24no—
324C4×D44—42no—
325C4×D44C2×C418yescomplemented
326#66925—24no—
327#66925C2×C418yescomplemented
328C42×D11—24no—
329C42×D11—42no—
330C42×D11—42no—
331C4×Dic22—42no—
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
376C4×#551—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11C22×C414yes—
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—41no—
395C22×C4×C11C22×C414yes—
396C22×C4×C11#4114yes—
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
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11C22×C414yes—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11C22×C414yes—
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C2×D44—22no—
437C2×D44—22no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44C22×C414yes—
441C2×D44C22×C414yes—
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—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—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—416no—
472C2×C4×D11C22×C414yes—
473C2×C4×D11C22×C414yes—
474C2×C4×D11C22×C414yescomplemented
475C2×C4×D11#4114yes—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4C22×C414yescomplemented
482C11×C4⋊C4C22×C414yescomplemented
483C11×C22⋊C4—22no—
484C11×C22⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C11×C22⋊C4#4114yes—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—22no—
492C42×C11—22no—
493C42×C11—22no—
494C42×C11—22no—
495C42×C11—22no—
496C42×C11—22no—
497C42×C11—22no—
498C42×C11—22no—
499C42×C11—41no—
500C42×C11—41no—
501C42×C11C22×C414yescomplemented
502C42×C11C22×C414yescomplemented
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11C22×C414yes—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yes—
527(C2×D11)⋊C4C22×C414yes—
528(C2×D11)⋊C4C22×C414yes—
529(C2×D11)⋊C4C22×C414yescomplemented
530(C2×D11)⋊C4C22×C414yescomplemented
531(C2×D11)⋊C4C22×C414yescomplemented
532(C2×D11)⋊C4#4114yes—
533C4⋊Dic11—22no—
534C4⋊Dic11—22no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11C22×C414yescomplemented
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4C22×C414yescomplemented
547Dic11⋊C4C22×C414yescomplemented
548Dic11⋊C4C22×C414yescomplemented
549Dic11⋊C4C22×C414yescomplemented
550Dic11⋊C4C22×C414yescomplemented
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—22no—
559C4×Dic11—22no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11C22×C414yescomplemented
568C2×#551—111no—
569#2374—111no—
570#2373—111no—
571#2373—111no—
572#2372—111no—
573#2368—111no—
574#2368—111no—
575#2359—111no—
576#2359—111no—
577#2358—111no—
578#2353—111no—
579#2353—111no—
580#2343—111no—
581#2343—111no—
582#2342—111no—
583#2342—111no—
584C4×#126—111no—
585C4×#126—111no—
586C4×#124—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589C4×#123—111no—
590C4×#123—111no—
591C4×#123—111no—
592C4×#120—111no—
593C42×D4—111no—
594C42×D4—111no—
595C4×#117—111no—
596C4×#117D1111yescharacteristic, complemented
597C2×C4×C22⋊C4—111no—
598C2×C4×C22⋊C4—111no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11C23×C412yes—
604C23×C11C2×#4112yes—
605C23×C11C2×#4112yes—
606C23×C11C2511yescharacteristic
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—28no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—28no—
625C22×D11—44no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11C23×C412yes—
631C22×D11C23×C412yes—
632C22×D11C23×C412yes—
633C22×D11C2×#4112yes—
634C22×D11C2×#4112yes—
635C2×C4×C11—28no—
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—21no—
656C2×C4×C11—28no—
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—44no—
667C2×C4×C11C23×C412yes—
668C2×C4×C11C23×C412yes—
669C2×C4×C11C23×C412yes—
670C2×C4×C11C23×C412yes—
671C2×C4×C11C23×C412yes—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11C2×#4112yes—
679C2×C4×C11H(5,𝔽2)12yes—
680C22⋊D11—28no—
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—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—44no—
714C2×Dic11—44no—
715C2×Dic11—44no—
716C2×Dic11C23×C412yes—
717C2×Dic11C23×C412yes—
718C2×Dic11C23×C412yes—
719C2×Dic11C23×C412yes—
720C2×Dic11C23×C412yes—
721C2×Dic11C2×#4112yes—
722C2×Dic11C2×#4112yes—
723D44—28no—
724D44—44no—
725C4×D11—28no—
726C4×D11—28no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—44no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736Dic22—44no—
737C24×C4—111no—
738#551—1116no—
739C2×#126—111no—
740C2×#126—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—111no—
756C2×#117—111no—
757C2×#117—111no—
758C2×#117C2×D1111yescharacteristic
759C2×#117C2×D1111yescharacteristic
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763C22×C22⋊C4—111no—
764C22×C42—111no—
765C22×C42—111no—
766C22×C42—111no—
767C22×C42—111no—
768C22×C42C2×D1111yescharacteristic
769#391—111no—
770#391—111no—
771#391—111no—
772#390—111no—
773#389—111no—
774#389—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#388—111no—
790#388—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#385—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#383—111no—
824#383—111no—
825#382—111no—
826#381—111no—
827#381—111no—
828#381—111no—
829#380—111no—
830#380—111no—
831#379—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4C2×D1111yescharacteristic, complemented
845C4×C4⋊C4C2×D1111yescharacteristic, complemented
846C4×C4⋊C4C2×D1111yescharacteristic, complemented
847C4×C4⋊C4C2×D1111yescharacteristic, complemented
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4C2×D1111yescharacteristic
879C4×C22⋊C4C2×D1111yescharacteristic
880C4×C22⋊C4C2×D1111yescharacteristic
881C4×C22⋊C4C2×D1111yescharacteristic
882#376—111no—
883#376—111no—
884#376C2×D1111yescharacteristic, complemented
885#376C2×D1111yescharacteristic, complemented
886C2×#95—111no—
887C2×#95—111no—
888C2×#95—111no—
889C2×#95—111no—
890C43—111no—
891C43C2×D1111yescharacteristic, complemented
892C43C2×D1111yescharacteristic, complemented
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11C4×#4114yes—
900C22×C11C24×C411yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11#58511yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—22no—
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—416no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11C4×#4114yes—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11#55114yescomplemented
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956C25—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—224no—
976C23×C4—224no—
977C23×C4—442no—
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126—118no—
983#124—118no—
984#123—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988C22⋊Q8—118no—
989#120—118no—
990C4×Q8—442no—
991C4×D4—118no—
992C4×D4—118no—
993C4×D4—224no—
994C4×D4—224no—
995C4×D4—224no—
996C4×D4—224no—
997C4×D4—442no—
998#117—24no—
999#117—118no—
1000#117—224no—
1001#117C4×D1118yescomplemented
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—118no—
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—118no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—224no—
1057C2×C22⋊C4—224no—
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C42—24no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—224no—
1081C2×C42—442no—
1082C2×C42—442no—
1083C2×C42—442no—
1084C2×C42C22×D1111yescharacteristic
1085C2×C42C22×D1111yescharacteristic
1086C2×C42C22×D1111yescharacteristic
1087C2×C42C22×D1111yescharacteristic
1088C2×C42C22×D1111yescharacteristic
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
1096C2×C42C22×D1111yescharacteristic
1097C2×C42C22×D1111yescharacteristic
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
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#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—24no—
1145C2×C11C2×C4×#4111yescharacteristic
1146C2×C11C2×C4×#4111yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11C2×#55111yescharacteristic
1149C2×C11#347511yescharacteristic
1150C2×C11#347511yescharacteristic
1151C2×C11#348111yescharacteristic
1152D11—24no—
1153D11—42no—
1154D11—42no—
1155C24—111no—
1156C24—111no—
1157C24—111no—
1158C24—114no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—222no—
1163C24—441no—
1164C24—441no—
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—114no—
1170C2×D4—114no—
1171C2×D4—114no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—441no—
1177C2×D4—441no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—41no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—114no—
1193C22×C4—114no—
1194C22×C4—114no—
1195C22×C4—114no—
1196C22×C4—114no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—4416no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4C2×C4×D1114yes—
1242C22×C4#433914yes—
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—114no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—114no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4C2×C4×D1114yescomplemented
1278C4⋊C4C2×C4×D1114yescomplemented
1279C22⋊C4—22no—
1280C22⋊C4—114no—
1281C22⋊C4—114no—
1282C22⋊C4—114no—
1283C22⋊C4—114no—
1284C22⋊C4—114no—
1285C22⋊C4—114no—
1286C22⋊C4—114no—
1287C22⋊C4—114no—
1288C22⋊C4—114no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4C2×C4×D1114yes—
1311C22⋊C4C2×C4×D1114yes—
1312C22⋊C4#433914yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—41no—
1326C42—41no—
1327C42—114no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42C2×C4×D1114yescomplemented
1345C42C2×C4×D1114yescomplemented
1346C11C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—112no—
1352C23—112no—
1353C23—112no—
1354C23—112no—
1355C23—112no—
1356C23—228no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—444no—
1375C23—444no—
1376C23—444no—
1377C23—444no—
1378C23—444no—
1379C23C22×C4×D1112yes—
1380C23C2×#433912yes—
1381C23C2×#433912yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384D4—228no—
1385D4—228no—
1386D4—444no—
1387C2×C4—28no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—28no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—112no—
1420C2×C4—112no—
1421C2×C4—112no—
1422C2×C4—112no—
1423C2×C4—112no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—228no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—228no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—444no—
1461C2×C4—444no—
1462C2×C4—444no—
1463C2×C4—444no—
1464C2×C4—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4C22×C4×D1112yes—
1473C2×C4C22×C4×D1112yes—
1474C2×C4C22×C4×D1112yes—
1475C2×C4C22×C4×D1112yes—
1476C2×C4C22×C4×D1112yes—
1477C2×C4C22×C4×D1112yes—
1478C2×C4C2×#433912yes—
1479C2×C4C2×#433912yes—
1480C2×C4C2×#433912yes—
1481C2×C4C2×#433912yes—
1482C2×C4#41×D1112yes—
1483C2×C4#41×D1112yes—
1484C2×C4#6704212yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—114no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—222no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—4416no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22C4×#433914yes—
1514C22C23×C4×D1111yescharacteristic
1515C22C22×#433911yescharacteristic
1516C22C22×#433911yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#6704211yescharacteristic
1520C22#1062345311yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4#1062305814yesdirect product factor
1548C2—24no—
1549C2—224no—
1550C2—442no—
1551C2—442no—
1552C2C4×#41×D1111yescharacteristic
1553C2C2×C4×#433911yescharacteristic
1554C2C4×#6704211yescharacteristic
1555C2C2×#1062305811yescharacteristic
1556C2#1308217011yescharacteristic
1557C2#1308217811yescharacteristic
1558C2#1308222611yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#117C2
socle, cosocleC23×C11C25
prime radicalC2×#66935C22
hypercenterC4×#117D11
hypocenterC11C4×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
2. #13071745C2semidirect
3. #13071741C2semidirect
4. #13071736C2semidirect
5. #13071726C2semidirect
6. #13071700C2semidirect
7. #13071694C2semidirect
8. #13071613C2semidirect
9. #13071608C2semidirect
11. #13071557C2semidirect
12. #13071550C2semidirect
13. #13071477C2semidirect
14. #13071476C2semidirect
15. #13071466C2semidirect
16. #13071459C2semidirect
17. C4×#66951C2semidirect
18. C4×#66929C2semidirect
19. C4×#66928C2semidirect
20. C4×#66949C2semidirect
21. C4×#66931C2semidirect
22. C4×#66947C2semidirect
23. C4×#66947C2semidirect
24. C4×#66982C2semidirect
26. C42×D44C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×#66925C2semidirect
29. C2×C4×(C2×D11)⋊C4C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#117C2semidirect
41. #10623058C4direct (N × H)
62. C2×C42×D11C22semidirect
63. C2×C4×Dic22C22semidirect
64. C4×C11×C4⋊C4C22semidirect
65. C4×C11×C4⋊C4C22semidirect
66. C4×C11×C4⋊C4C22semidirect
67. C4×C11×C4⋊C4C22semidirect
72. C11×#376C22semidirect
73. C11×#376C22semidirect
74. C43×C11C22semidirect
75. C43×C11C22semidirect
84. #10622603C22semidirect
87. #10622602C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622585C22semidirect
109. #10622553C22semidirect
110. #10622553C22semidirect
111. #10622553C22semidirect
112. #10622553C22semidirect
130. C4×(C2×D11)⋊C4C22semidirect
131. C4×(C2×D11)⋊C4C22semidirect
132. C4×(C2×D11)⋊C4C22semidirect
133. C4×(C2×D11)⋊C4C22semidirect
134. C4×(C2×D11)⋊C4C22semidirect
135. #10622550C22semidirect
136. #10622549C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. C4×C4⋊Dic11C22semidirect
139. C4×C4⋊Dic11C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622546C22semidirect
143. #10622546C22semidirect
144. #10622546C22semidirect
145. #10622545C22semidirect
146. #10622545C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C4×Dic11⋊C4C22semidirect
149. C4×Dic11⋊C4C22semidirect
150. C4×Dic11⋊C4C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C42×Dic11C22semidirect
155. #10622542C22semidirect
159. #10622282C22semidirect
166. #10622279C22semidirect
167. #10622279C22semidirect
173. #10622277C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622262C22semidirect
184. #10622262C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C11×#117C2×C4semidirect
243. #66982C2×C4semidirect
246. C2×(C2×D11)⋊C4C2×C4semidirect
310. #66951C2×C4semidirect
311. #66949C2×C4semidirect
312. #66947C2×C4semidirect
313. #66947C2×C4semidirect
316. (C22⋊D11)⋊C4C2×C4semidirect
318. C22⋊C4×D11C2×C4semidirect
319. #66931C2×C4semidirect
320. #66929C2×C4semidirect
321. #66928C2×C4semidirect
325. C4×D44C2×C4semidirect
327. #66925C2×C4semidirect
474. C2×C4×D11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
481. C11×C4⋊C4C22×C4semidirect
482. C11×C4⋊C4C22×C4semidirect
501. C42×C11C22×C4semidirect
502. C42×C11C22×C4semidirect
529. (C2×D11)⋊C4C22×C4semidirect
530. (C2×D11)⋊C4C22×C4semidirect
531. (C2×D11)⋊C4C22×C4semidirect
537. C4⋊Dic11C22×C4semidirect
546. Dic11⋊C4C22×C4semidirect
547. Dic11⋊C4C22×C4semidirect
548. Dic11⋊C4C22×C4semidirect
549. Dic11⋊C4C22×C4semidirect
550. Dic11⋊C4C22×C4semidirect
567. C4×Dic11C22×C4semidirect
596. C4×#117D11semidirect
844. C4×C4⋊C4C2×D11semidirect
845. C4×C4⋊C4C2×D11semidirect
846. C4×C4⋊C4C2×D11semidirect
847. C4×C4⋊C4C2×D11semidirect
884. #376C2×D11semidirect
885. #376C2×D11semidirect
891. C43C2×D11semidirect
892. C43C2×D11semidirect
942. C4×C11#551semidirect
1001. #117C4×D11semidirect
1277. C4⋊C4C2×C4×D11semidirect
1278. C4⋊C4C2×C4×D11semidirect
1344. C42C2×C4×D11semidirect
1345. C42C2×C4×D11semidirect
1346. C11C4×#551semidirect
1547. C4#10623058direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230582
#130717452
#130717412
#130717362
#130717262
#130717002
#130716942
#130716132
#130716082
#130715982
#130715572
#130715502
#130714772
#130714762
#130714662
#130714592
C4×#669512
C4×#669292
C4×#669282
C4×#669492
C4×#669312
C4×#669472
C4×#669822
C4×#669352
C42×D442
C4×(C22⋊D11)⋊C42
C4×#669252
C2×C4×(C2×D11)⋊C42
C4×C22⋊C4×D112
C4×C11×#1172
C4×#55111