Finite Group Databasebeta

← C4×#10623071 #14913698

Subgroups — C4×#10623071 #14913698

Order 2816.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623071C211yesmaximal, characteristic
2#13071747C211yesmaximal, characteristic, complemented
3#13071745C211yesmaximal, characteristic, complemented
4#13071737C211yesmaximal, characteristic, complemented
5#13071732C211yesmaximal, characteristic, complemented
6#13071713C211yesmaximal, characteristic, complemented
7#13071666C211yesmaximal, characteristic, complemented
8#13071661C211yesmaximal, characteristic, complemented
9#13071655C211yesmaximal, characteristic, complemented
10#13071633C211yesmaximal, characteristic, complemented
11#13071590C211yesmaximal, characteristic, complemented
12#13071556C211yesmaximal, characteristic, complemented
13#13071550C211yesmaximal, characteristic, complemented
14#13071539C211yesmaximal, characteristic, complemented
15#13071510C211yesmaximal, characteristic, complemented
16#13071494C211yesmaximal, characteristic, complemented
17C4×#66942C211yesmaximal, characteristic, complemented
18C4×#66929C211yesmaximal, characteristic, complemented
19C4×#66932C211yesmaximal, characteristic, complemented
20C4×#66947C211yesmaximal, characteristic, complemented
21C4×#66982C211yesmaximal, characteristic, complemented
22C4×#66983C211yesmaximal, characteristic, complemented
23C4×#66937C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C42×C22⋊D11C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
29C4×#66925C211yesmaximal, characteristic, complemented
30C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
31C42×D4×C11C211yesmaximal, characteristic, complemented
32C2×C4×D4×C11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66983C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×Dic11⋊C4C2211yescharacteristic
49C22×C4×Dic11C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51#10623071C4116yesdirect product factor
52C2×#66947C2211yescharacteristic
53C2×#66942C2211yescharacteristic
54C2×#66937C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C2×#66932C2211yescharacteristic
60C2×#66929C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×#66925C2211yescharacteristic
63C2×#66925C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C4⋊C4C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C4×C11×C22⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic
75C43×C11C2211yescharacteristic
76#10622833C2211yescharacteristic
77#10622833C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622825C2211yescharacteristic
82#10622824C2211yescharacteristic
83#10622823C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C2×C11⋊#95C2211yescharacteristic
89C2×C11⋊#95C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622594C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622591C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622558C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622555C2211yescharacteristic
113#10622555C2211yescharacteristic
114C22⋊C4×Dic11C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124#10622553C2211yescharacteristic
125#10622552C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136#10622550C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic
138#10622546C2211yescharacteristic
139#10622546C2211yescharacteristic
140#10622546C2211yescharacteristic
141#10622546C2211yescharacteristic
142#10622546C2211yescharacteristic
143#10622545C2211yescharacteristic
144#10622545C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149C4×Dic11⋊C4C2211yescharacteristic
150C4×Dic11⋊C4C2211yescharacteristic
151C4×Dic11⋊C4C2211yescharacteristic
152C4×Dic11⋊C4C2211yescharacteristic
153C4×Dic11⋊C4C2211yescharacteristic
154C4×Dic11⋊C4C2211yescharacteristic
155C4×Dic11⋊C4C2211yescharacteristic
156C4×Dic11⋊C4C2211yescharacteristic
157C4×Dic11⋊C4C2211yescharacteristic
158C4×Dic11⋊C4C2211yescharacteristic
159C4×Dic11⋊C4C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C42×Dic11C2211yescharacteristic
162C42×Dic11C2211yescharacteristic
163#10622541C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622280C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622264C2211yescharacteristic
181#10622263C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622260C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C4×D4×C11—24no—
211C4×D4×C11—24no—
212C4×D4×C11C2×C418yescomplemented
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11—42no—
223C2×C42×C11—42no—
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×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66992C2×C418yescomplemented
246#66992C2×C418yescomplemented
247#66983C2×C418yescomplemented
248#66982C2×C418yescomplemented
249C4×C22⋊D11—24no—
250C4×C22⋊D11—24no—
251C4×C22⋊D11—24no—
252C4×C22⋊D11—24no—
253C4×C22⋊D11—42no—
254C4×C22⋊D11C2×C418yescomplemented
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×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×Dic11⋊C4—24no—
277C2×Dic11⋊C4C2×C418yescomplemented
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×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×C4×Dic11—24no—
299C2×C4×Dic11—42no—
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66947C2×C418yescomplemented
323#66942C2×C418yescomplemented
324#66937C2×C418yescomplemented
325(C22⋊D11)⋊C4—24no—
326(C22⋊D11)⋊C4—24no—
327(C22⋊D11)⋊C4C2×C418yescomplemented
328(C22⋊D11)⋊C4C2×C418yescomplemented
329#66932C2×C418yescomplemented
330#66929C2×C418yescomplemented
331C4×D44—42no—
332#66925—24no—
333#66925C2×C418yescomplemented
334C42×D11—24no—
335C42×D11—42no—
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C4×#553—111nomaximal, Sylow
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C2×D4×C11—22no—
382C2×D4×C11—22no—
383C2×D4×C11C22×C414yes—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11C22×C414yes—
400C22×C4×C11C22×C414yes—
401C22×C4×C11#4114yes—
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
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11C22×C414yes—
424C2×C22⋊D11C22×C414yes—
425C2×C22⋊D11C22×C414yes—
426C2×C22⋊D11C22×C414yes—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11C22×C414yes—
438C22×Dic11C22×C414yes—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C2×D44—41no—
454C2×D44—41no—
455C2×D44C22×C414yes—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11C22×C414yes—
473C2×C4×D11C22×C414yes—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4C22×C414yes—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4C22×C414yes—
481C11×C22⋊C4C22×C414yes—
482C11×C22⋊C4#4114yes—
483C42×C11—22no—
484C42×C11—22no—
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—41no—
491C42×C11—41no—
492C42×C11—41no—
493C42×C11—41no—
494C42×C11—41no—
495C42×C11C22×C414yes—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11C22×C414yes—
503C22⋊Dic11C22×C414yes—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
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—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4C22×C414yes—
517(C2×D11)⋊C4C22×C414yes—
518(C2×D11)⋊C4C22×C414yes—
519(C2×D11)⋊C4C22×C414yes—
520(C2×D11)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11C22×C414yes—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4C22×C414yes—
537Dic11⋊C4C22×C414yes—
538Dic11⋊C4C22×C414yes—
539Dic11⋊C4C22×C414yes—
540Dic11⋊C4C22×C414yes—
541Dic11⋊C4C22×C414yes—
542Dic11⋊C4C22×C414yes—
543Dic11⋊C4C22×C414yes—
544Dic11⋊C4#4114yes—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11C22×C414yes—
565C4×Dic11C22×C414yes—
566C4×Dic11#4114yes—
567C2×#553—111no—
568#2374—111no—
569#2374—111no—
570#2373—111no—
571#2373—111no—
572#2370—111no—
573#2364—111no—
574#2364—111no—
575#2363—111no—
576#2361—111no—
577#2357—111no—
578#2353—111no—
579#2353—111no—
580#2352—111no—
581#2347—111no—
582#2345—111no—
583C4×#125—111no—
584C4×#126—111no—
585C4×#126—111no—
586C4×#123—111no—
587C4×#123—111no—
588C4×#121—111no—
589C4×#121—111no—
590C4×#121—111no—
591C4×#121—111no—
592C42×D4—111no—
593C42×D4—111no—
594C42×D4—111no—
595C42×D4D1111yescharacteristic, complemented
596C4×#117—111no—
597C2×C4×C4⋊C4—111no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11C23×C412yes—
609C23×C11C23×C412yes—
610C23×C11C2×#4112yes—
611C23×C11C2×#4112yes—
612C23×C11C2511yescharacteristic
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—21no—
625C22×D11C23×C412yes—
626C22×D11C23×C412yes—
627D4×C11—28no—
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—28no—
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—44no—
657C2×C4×C11—44no—
658C2×C4×C11—44no—
659C2×C4×C11—44no—
660C2×C4×C11—44no—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C11C23×C412yes—
664C2×C4×C11C23×C412yes—
665C2×C4×C11C23×C412yes—
666C2×C4×C11C2×#4112yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C2×C4×C11C2×#4112yes—
670C2×C4×C11C2×#4112yes—
671C2×C4×C11C2×#4112yes—
672C2×C4×C11H(5,𝔽2)12yes—
673C22⋊D11—28no—
674C22⋊D11—28no—
675C22⋊D11—28no—
676C22⋊D11—44no—
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—28no—
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—44no—
711C2×Dic11—44no—
712C2×Dic11—44no—
713C2×Dic11C23×C412yes—
714C2×Dic11C23×C412yes—
715C2×Dic11C23×C412yes—
716C2×Dic11C23×C412yes—
717C2×Dic11C23×C412yes—
718C2×Dic11C23×C412yes—
719C2×Dic11C2×#4112yes—
720C2×Dic11C2×#4112yes—
721C2×Dic11C2×#4112yes—
722C2×Dic11C2×#4112yes—
723D44—44no—
724C4×D11—28no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730#553—1116no—
731C2×#126—111no—
732C2×#126—111no—
733C2×#125—111no—
734C2×#123—111no—
735C2×#123—111no—
736C2×#121—111no—
737C2×#121—111no—
738C2×#121—111no—
739C2×#121—111no—
740C2×C4×D4—111no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4C2×D1111yescharacteristic
752C2×C4×D4C2×D1111yescharacteristic
753C2×C4×D4C2×D1111yescharacteristic
754C2×#117—111no—
755C2×#117—111no—
756C22×C4⋊C4—111no—
757C22×C4⋊C4—111no—
758C22×C42—111no—
759C22×C42—111no—
760C22×C42—111no—
761C22×C42—111no—
762C22×C42C2×D1111yescharacteristic
763C22×C42C2×D1111yescharacteristic
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#389—111no—
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—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#388—111no—
790#388—111no—
791#388—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#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#385—111no—
817#385—111no—
818#383—111no—
819#383—111no—
820#382—111no—
821#381—111no—
822#381—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—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⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4C2×D1111yescharacteristic
849C4×C4⋊C4C2×D1111yescharacteristic
850C4×C4⋊C4C2×D1111yescharacteristic
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⋊C4C2×D1111yescharacteristic
874C4×C22⋊C4C2×D1111yescharacteristic
875C4×C22⋊C4C2×D1111yescharacteristic
876C4×C22⋊C4C2×D1111yescharacteristic
877C4×C22⋊C4C2×D1111yescharacteristic
878C4×C22⋊C4C2×D1111yescharacteristic
879#376—111no—
880#376—111no—
881C2×#95—111no—
882C2×#95—111no—
883C43—111no—
884C43—111no—
885C43C2×D1111yescharacteristic
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
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—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C4×C11—22no—
922C4×C11—22no—
923C4×C11—22no—
924C4×C11—22no—
925C4×C11—22no—
926C4×C11—22no—
927C4×C11—22no—
928C4×C11—22no—
929C4×C11—22no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11#55314yescomplemented
934Dic11—22no—
935Dic11—22no—
936Dic11—22no—
937Dic11—22no—
938Dic11—22no—
939Dic11—22no—
940Dic11—22no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945Dic11—41no—
946Dic11—41no—
947Dic11C4×#4114yes—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C22×D4C22×D1111yescharacteristic
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4C22×D1111yescharacteristic
965C23×C4C22×D1111yescharacteristic
966C23×C4C22×D1111yescharacteristic
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969C23×C4C22×D1111yescharacteristic
970#126—118no—
971#126—118no—
972#125—118no—
973#123—118no—
974#123—118no—
975#121—118no—
976#121—118no—
977#121—118no—
978#121—118no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—118no—
982C4×D4—118no—
983C4×D4—118no—
984C4×D4—224no—
985C4×D4—224no—
986C4×D4—224no—
987C4×D4—224no—
988C4×D4—224no—
989C4×D4—224no—
990C4×D4—442no—
991C4×D4—442no—
992C4×D4C4×D1118yescomplemented
993#117—118no—
994#117—224no—
995C2×C4⋊C4—118no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
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—224no—
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C42—42no—
1056C2×C42—42no—
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—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—224no—
1080C2×C42—224no—
1081C2×C42—442no—
1082C2×C42—442no—
1083C2×C42C22×D1111yescharacteristic
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
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#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#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136C2×C11—24no—
1137C2×C11—42no—
1138C2×C11C2×C4×#4111yescharacteristic
1139C2×C11C2×C4×#4111yescharacteristic
1140C2×C11C4×H(5,𝔽2)11yescharacteristic
1141C2×C11C2×#55311yescharacteristic
1142C2×C11#347511yescharacteristic
1143C2×C11#348011yescharacteristic
1144C2×C11#348111yescharacteristic
1145D11—42no—
1146D11—42no—
1147C24—111no—
1148C24—111no—
1149C24C23×D1111yescharacteristic
1150C24C23×D1111yescharacteristic
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—114no—
1154C2×D4—114no—
1155C2×D4—114no—
1156C2×D4—114no—
1157C2×D4—114no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—222no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4C2×C4×D1114yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—111no—
1185C22×C4—114no—
1186C22×C4—111no—
1187C22×C4—111no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—114no—
1194C22×C4—114no—
1195C22×C4—114no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—222no—
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—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4C2×C4×D1114yes—
1229C22×C4C2×C4×D1114yes—
1230C22×C4#433914yes—
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—114no—
1247C4⋊C4—114no—
1248C4⋊C4—114no—
1249C4⋊C4—114no—
1250C4⋊C4—114no—
1251C4⋊C4—114no—
1252C4⋊C4—114no—
1253C4⋊C4—114no—
1254C4⋊C4—114no—
1255C4⋊C4—114no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4C2×C4×D1114yes—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—114no—
1274C22⋊C4—114no—
1275C22⋊C4—114no—
1276C22⋊C4—114no—
1277C22⋊C4—114no—
1278C22⋊C4—114no—
1279C22⋊C4—114no—
1280C22⋊C4—114no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4C2×C4×D1114yes—
1300C22⋊C4C2×C4×D1114yes—
1301C22⋊C4#433914yes—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—114no—
1315C42—114no—
1316C42—114no—
1317C42—222no—
1318C42—222no—
1319C42—222no—
1320C42—222no—
1321C42—222no—
1322C42—222no—
1323C42—222no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—441no—
1331C42—441no—
1332C42—441no—
1333C42—441no—
1334C42—441no—
1335C42—441no—
1336C42C2×C4×D1114yes—
1337C11C4×#55311yescharacteristic, complemented, Sylow
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—112no—
1349C23—112no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23—221no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23C22×C4×D1112yes—
1363C23C22×C4×D1112yes—
1364C23C2×#433912yes—
1365C23C2×#433912yes—
1366C23C24×D1111yescharacteristic
1367D4—28no—
1368D4—228no—
1369D4—228no—
1370D4—228no—
1371D4—444no—
1372D4—444no—
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—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—28no—
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—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—112no—
1407C2×C4—112no—
1408C2×C4—112no—
1409C2×C4—112no—
1410C2×C4—112no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—112no—
1414C2×C4—112no—
1415C2×C4—112no—
1416C2×C4—228no—
1417C2×C4—228no—
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—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—221no—
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—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4C22×C4×D1112yes—
1459C2×C4C22×C4×D1112yes—
1460C2×C4C22×C4×D1112yes—
1461C2×C4C22×C4×D1112yes—
1462C2×C4C22×C4×D1112yes—
1463C2×C4C2×#433912yes—
1464C2×C4C2×#433912yes—
1465C2×C4C2×#433912yes—
1466C2×C4C2×#433912yes—
1467C2×C4#6703712yes—
1468C2×C4#41×D1112yes—
1469C2×C4#41×D1112yes—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—222no—
1484C22—222no—
1485C22—222no—
1486C22—222no—
1487C22—222no—
1488C22—222no—
1489C22—441no—
1490C22—441no—
1491C22—441no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22—441no—
1496C22—441no—
1497C22C4×#433914yes—
1498C22C23×C4×D1111yescharacteristic
1499C22C22×#433911yescharacteristic
1500C22C22×#433911yescharacteristic
1501C22C2×#6703711yescharacteristic
1502C22C2×#41×D1111yescharacteristic
1503C22C2×#41×D1111yescharacteristic
1504C22#1062345311yescharacteristic
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—114no—
1518C4—222no—
1519C4—222no—
1520C4—222no—
1521C4—222no—
1522C4—222no—
1523C4—222no—
1524C4—222no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4—441no—
1529C4—441no—
1530C4—441no—
1531C4#1062307114yesdirect product factor
1532C2—24no—
1533C2—42no—
1534C2—442no—
1535C2—442no—
1536C2C4×#41×D1111yescharacteristic
1537C2C2×C4×#433911yescharacteristic
1538C2C4×#6703711yescharacteristic
1539C2C2×#1062307111yescharacteristic
1540C2#1308217811yescharacteristic
1541C2#1308220911yescharacteristic
1542C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC42×D4×C11C2
socle, cosocleC23×C11C25
prime radicalC2×#10623071C2
hypercenterC42×D4D11
hypocenterC11C4×#553
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #13071747C2semidirect
3. #13071745C2semidirect
4. #13071737C2semidirect
5. #13071732C2semidirect
6. #13071713C2semidirect
7. #13071666C2semidirect
8. #13071661C2semidirect
9. #13071655C2semidirect
10. #13071633C2semidirect
11. #13071590C2semidirect
12. #13071556C2semidirect
13. #13071550C2semidirect
14. #13071539C2semidirect
15. #13071510C2semidirect
16. #13071494C2semidirect
17. C4×#66942C2semidirect
18. C4×#66929C2semidirect
19. C4×#66932C2semidirect
20. C4×#66947C2semidirect
21. C4×#66982C2semidirect
22. C4×#66983C2semidirect
23. C4×#66937C2semidirect
24. C4×#66992C2semidirect
25. C4×#66992C2semidirect
26. C42×C22⋊D11C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×(C22⋊D11)⋊C4C2semidirect
29. C4×#66925C2semidirect
30. C2×C4×Dic11⋊C4C2semidirect
31. C42×D4×C11C2semidirect
51. #10623071C4direct (N × H)
212. C4×D4×C11C2×C4semidirect
245. #66992C2×C4semidirect
246. #66992C2×C4semidirect
247. #66983C2×C4semidirect
248. #66982C2×C4semidirect
254. C4×C22⋊D11C2×C4semidirect
277. C2×Dic11⋊C4C2×C4semidirect
322. #66947C2×C4semidirect
323. #66942C2×C4semidirect
324. #66937C2×C4semidirect
327. (C22⋊D11)⋊C4C2×C4semidirect
328. (C22⋊D11)⋊C4C2×C4semidirect
329. #66932C2×C4semidirect
330. #66929C2×C4semidirect
333. #66925C2×C4semidirect
595. C42×D4D11semidirect
933. C4×C11#553semidirect
992. C4×D4C4×D11semidirect
1337. C11C4×#553semidirect
1531. C4#10623071direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230712
#130717472
#130717452
#130717372
#130717322
#130717132
#130716662
#130716612
#130716552
#130716332
#130715902
#130715562
#130715502
#130715392
#130715102
#130714942
C4×#669422
C4×#669292
C4×#669322
C4×#669472
C4×#669822
C4×#669832
C4×#669372
C4×#669922
C42×C22⋊D112
C4×(C22⋊D11)⋊C42
C4×#669252
C2×C4×Dic11⋊C42
C42×D4×C112
C4×#55311