Finite Group Databasebeta

← C4×#10623026 #14913645

Subgroups — C4×#10623026 #14913645

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×#10623026C211yesmaximal, characteristic
2#13071750C211yesmaximal, characteristic, complemented
3#13071738C211yesmaximal, characteristic, complemented
4#13071737C211yesmaximal, characteristic, complemented
5#13071724C211yesmaximal, characteristic, complemented
6#13071696C211yesmaximal, characteristic, complemented
7#13071694C211yesmaximal, characteristic, complemented
8#13071610C211yesmaximal, characteristic, complemented
9#13071604C211yesmaximal, characteristic, complemented
10#13071595C211yesmaximal, characteristic
11#13071552C211yesmaximal, characteristic, complemented
12#13071550C211yesmaximal, characteristic, complemented
13#13071472C211yesmaximal, characteristic, complemented
14#13071470C211yesmaximal, characteristic, complemented
15#13071465C211yesmaximal, characteristic, complemented
16#13071461C211yesmaximal, characteristic, complemented
17C4×#66932C211yesmaximal, characteristic, complemented
18C4×#66932C211yesmaximal, characteristic, complemented
19C4×#66938C211yesmaximal, characteristic, complemented
20C4×#66977C211yesmaximal, characteristic, complemented
21C4×#66931C211yesmaximal, characteristic, complemented
22C4×#66939C211yesmaximal, characteristic, complemented
23C4×#66982C211yesmaximal, characteristic, complemented
24C4×#66936C211yesmaximal, characteristic, complemented
25C4×#67006C211yesmaximal, characteristic
26C42×C22⋊D11C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×#66979C211yesmaximal, characteristic, complemented
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
31C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66982C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×#66979C2211yescharacteristic
47C2×#66979C2211yescharacteristic
48C2×#66977C2211yescharacteristic
49C22×C4×Dic11C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51#10623026C4116yesdirect product factor
52C2×#66939C2211yescharacteristic
53C2×#66938C2211yescharacteristic
54C2×#66936C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×#66932C2211yescharacteristic
58C2×#66932C2211yescharacteristic
59C2×#66931C2211yescharacteristic
60C2×#66930C2211yescharacteristic
61C2×#66930C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic, complemented
63C2×C4×Dic22C2211yescharacteristic, complemented
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C2×C11×#95C2211yescharacteristic
73C2×C11×#95C2211yescharacteristic
74#10622860C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622825C2211yescharacteristic
80#10622824C2211yescharacteristic
81#10622823C2211yescharacteristic
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic
85#10622823C2211yescharacteristic
86#10622823C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93C4×C22⋊Dic11C2211yescharacteristic
94C4×C22⋊Dic11C2211yescharacteristic
95C4×C22⋊Dic11C2211yescharacteristic
96C4×C22⋊Dic11C2211yescharacteristic
97C4×C22⋊Dic11C2211yescharacteristic
98C4×C22⋊Dic11C2211yescharacteristic
99C4×C22⋊Dic11C2211yescharacteristic
100C4×C22⋊Dic11C2211yescharacteristic
101C4×C22⋊Dic11C2211yescharacteristic
102C2×C11⋊#95C2211yescharacteristic
103C2×C11⋊#95C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622556C2211yescharacteristic
121#10622555C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126#10622553C2211yescharacteristic, complemented
127#10622553C2211yescharacteristic, complemented
128C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
129C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
131C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
133C4×C4⋊Dic11C2211yescharacteristic, complemented
134C4×C4⋊Dic11C2211yescharacteristic, complemented
135C4×C4⋊Dic11C2211yescharacteristic, complemented
136C4×C4⋊Dic11C2211yescharacteristic, complemented
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138#10622546C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622545C2211yescharacteristic, complemented
143#10622545C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C4×Dic11⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C4×Dic11⋊C4C2211yescharacteristic, complemented
149C4×Dic11⋊C4C2211yescharacteristic, complemented
150C4×Dic11⋊C4C2211yescharacteristic, complemented
151C42×Dic11C2211yescharacteristic, complemented
152C42×Dic11C2211yescharacteristic, complemented
153C42×Dic11C2211yescharacteristic, complemented
154#10622542C2211yescharacteristic, complemented
155#10622541C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622277C2211yescharacteristic, complemented
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622268C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622267C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622266C2211yescharacteristic, complemented
171#10622266C2211yescharacteristic, complemented
172#10622266C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622264C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C23×C4×C11—24no—
190C23×C4×C11—24no—
191C23×C4×C11—42no—
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C2×C11×C22⋊C4—24no—
214C2×C11×C22⋊C4C2×C418yescomplemented
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11—24no—
224C2×C42×C11—42no—
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233#67006C2×C418yes—
234C2×C22⋊Dic11—24no—
235C2×C22⋊Dic11C2×C418yescomplemented
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66982C2×C418yescomplemented
254C4×C22⋊D11—24no—
255C4×C22⋊D11—24no—
256C4×C22⋊D11—24no—
257C4×C22⋊D11—42no—
258C4×C22⋊D11C2×C418yescomplemented
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
268#66979—24no—
269#66979C2×C418yescomplemented
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277#66977C2×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×C4×Dic11—24no—
294C2×C4×Dic11—42no—
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
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
320#66939C2×C418yescomplemented
321#66938C2×C418yescomplemented
322#66936C2×C418yescomplemented
323(C22⋊D11)⋊C4—24no—
324(C22⋊D11)⋊C4C2×C418yescomplemented
325#66932C2×C418yescomplemented
326#66932C2×C418yescomplemented
327#66931C2×C418yescomplemented
328#66930—24no—
329#66930C2×C418yescomplemented
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×C11—22no—
378C24×C11—22no—
379C24×C11—22no—
380C24×C11—22no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C22×C414yes—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
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—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—416no—
415C22×C4×C11C22×C414yes—
416C22×C4×C11C22×C414yes—
417C22×C4×C11#4114yes—
418C22×C4×C11#4114yes—
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11C22×C414yes—
438C2×C22⋊D11C22×C414yes—
439C2×C22⋊D11C22×C414yes—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11C22×C414yes—
451C22×Dic11C22×C414yes—
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11C22×C414yescomplemented
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4C22×C414yes—
483C11×C22⋊C4C22×C414yes—
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—41no—
494C42×C11—41no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11C22×C414yes—
505C22⋊Dic11C22×C414yes—
506C22⋊Dic11C22×C414yes—
507C22⋊Dic11C22×C414yes—
508C22⋊Dic11C22×C414yes—
509C22⋊Dic11C22×C414yes—
510C22⋊Dic11C22×C414yes—
511C22⋊Dic11#4114yes—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4C22×C414yescomplemented
519(C2×D11)⋊C4C22×C414yescomplemented
520(C2×D11)⋊C4C22×C414yescomplemented
521C4⋊Dic11—22no—
522C4⋊Dic11—22no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11C22×C414yescomplemented
526C4⋊Dic11C22×C414yescomplemented
527C4⋊Dic11C22×C414yescomplemented
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⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4C22×C414yescomplemented
539Dic11⋊C4C22×C414yescomplemented
540Dic11⋊C4C22×C414yescomplemented
541Dic11⋊C4C22×C414yescomplemented
542Dic11⋊C4C22×C414yescomplemented
543C4×Dic11—22no—
544C4×Dic11—22no—
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×Dic11—41no—
565C4×Dic11C22×C414yescomplemented
566C4×Dic11C22×C414yescomplemented
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×#117—111no—
597C2×C4×C22⋊C4—111no—
598C2×C4×C22⋊C4D1111yescharacteristic, complemented
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—28no—
608C23×C11—28no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—44no—
616C23×C11—44no—
617C23×C11—44no—
618C23×C11—44no—
619C23×C11—44no—
620C23×C11C23×C412yes—
621C23×C11C23×C412yes—
622C23×C11C23×C412yes—
623C23×C11C2×#4112yes—
624C23×C11C2×#4112yes—
625C23×C11C2×#4112yes—
626C23×C11C2×#4112yes—
627C23×C11C2511yescharacteristic
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11C23×C412yes—
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—28no—
653C2×C4×C11—28no—
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—44no—
664C2×C4×C11—44no—
665C2×C4×C11—44no—
666C2×C4×C11—44no—
667C2×C4×C11—44no—
668C2×C4×C11—44no—
669C2×C4×C11—44no—
670C2×C4×C11C23×C412yes—
671C2×C4×C11C23×C412yes—
672C2×C4×C11C23×C412yes—
673C2×C4×C11C23×C412yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11C2×#4112yes—
679C2×C4×C11C2×#4112yes—
680C2×C4×C11H(5,𝔽2)12yes—
681C22⋊D11—28no—
682C22⋊D11—28no—
683C22⋊D11—44no—
684C2×Dic11—28no—
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—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11—44no—
724C2×Dic11C23×C412yes—
725C2×Dic11C23×C412yes—
726C2×Dic11C23×C412yes—
727C2×Dic11C23×C412yes—
728C2×Dic11C23×C412yes—
729C2×Dic11C23×C412yes—
730C2×Dic11C23×C412yes—
731C2×Dic11C2×#4112yes—
732C2×Dic11C2×#4112yes—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736Dic22—44no—
737C24×C4C2×D1111yescharacteristic
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×#117—111no—
759C2×#117—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4C2×D1111yescharacteristic
763C22×C22⋊C4C2×D1111yescharacteristic
764C22×C42—111no—
765C22×C42—111no—
766C22×C42—111no—
767C22×C42C2×D1111yescharacteristic
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⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
875C4×C22⋊C4C2×D1111yescharacteristic
876C4×C22⋊C4C2×D1111yescharacteristic
877C4×C22⋊C4C2×D1111yescharacteristic
878C4×C22⋊C4C2×D1111yescharacteristic
879C4×C22⋊C4C2×D1111yescharacteristic
880C4×C22⋊C4C2×D1111yescharacteristic
881C4×C22⋊C4C2×D1111yescharacteristic
882#376—111no—
883#376—111no—
884#376—111no—
885#376—111no—
886C2×#95—111no—
887C2×#95—111no—
888C2×#95C2×D1111yescharacteristic
889C2×#95C2×D1111yescharacteristic
890C43—111no—
891C43—111no—
892C43—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—416no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11C4×#4114yes—
914C22×C11C4×#4114yes—
915C22×C11C24×C411yescharacteristic
916C22×C11C22×#4111yescharacteristic
917C22×C11C22×#4111yescharacteristic
918C22×C11C22×#4111yescharacteristic
919C22×C11C22×#4111yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11#58511yescharacteristic
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
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—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11#55114yescomplemented
941Dic11—22no—
942Dic11—22no—
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—
956C25C22×D1111yescharacteristic
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C23×C4—24no—
962C23×C4—24no—
963C23×C4—42no—
964C23×C4—111no—
965C23×C4—111no—
966C23×C4—111no—
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4C22×D1111yescharacteristic
972C23×C4C22×D1111yescharacteristic
973C23×C4C22×D1111yescharacteristic
974C23×C4C22×D1111yescharacteristic
975C23×C4C22×D1111yescharacteristic
976C23×C4C22×D1111yescharacteristic
977C23×C4C22×D1111yescharacteristic
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—118no—
999#117—118no—
1000#117—224no—
1001#117—224no—
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⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C22⋊C4—24no—
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—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⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—224no—
1053C2×C22⋊C4C4×D1118yescomplemented
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C22⋊C4C22×D1111yescharacteristic
1058C2×C22⋊C4C22×D1111yescharacteristic
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C42—24no—
1063C2×C42—42no—
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—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—224no—
1090C2×C42—442no—
1091C2×C42—442no—
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×C11—24no—
1146C2×C11—42no—
1147C2×C11C2×C4×#4111yescharacteristic
1148C2×C11C2×C4×#4111yescharacteristic
1149C2×C11C4×H(5,𝔽2)11yescharacteristic
1150C2×C11C2×#55111yescharacteristic
1151C2×C11#347511yescharacteristic
1152C2×C11#347511yescharacteristic
1153C2×C11#348111yescharacteristic
1154D11—42no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—111no—
1162C24C2×C4×D1114yes—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
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—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—416no—
1205C22×C4—114no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—114no—
1216C22×C4—114no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4C2×C4×D1114yes—
1242C22×C4C2×C4×D1114yes—
1243C22×C4#433914yes—
1244C22×C4#434114yes—
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—114no—
1258C4⋊C4—114no—
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—222no—
1272C4⋊C4—222no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
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—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4C2×C4×D1114yes—
1309C22⋊C4C2×C4×D1114yes—
1310C22⋊C4C2×C4×D1114yes—
1311C22⋊C4C2×C4×D1114yes—
1312C22⋊C4#433914yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—41no—
1320C42—41no—
1321C42—114no—
1322C42—114no—
1323C42—114no—
1324C42—222no—
1325C42—222no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C11C4×#55111yescharacteristic, complemented, Sylow
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—28no—
1356C23—28no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—112no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23C22×C4×D1112yes—
1376C23C22×C4×D1112yes—
1377C23C22×C4×D1112yes—
1378C23C2×#433912yes—
1379C23C2×#433912yes—
1380C23C2×#434112yes—
1381C23#41×D1112yes—
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—28no—
1405C2×C4—28no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—112no—
1423C2×C4—112no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—112no—
1431C2×C4—228no—
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—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—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
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×C4C2×#434112yes—
1483C2×C4C2×#434112yes—
1484C2×C4#6703712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—416no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22C4×#433914yes—
1513C22C4×#434114yes—
1514C22C23×C4×D1111yescharacteristic
1515C22C22×#433911yescharacteristic
1516C22C22×#433911yescharacteristic
1517C22C22×#434111yescharacteristic
1518C22C2×#6703711yescharacteristic
1519C22C2×#41×D1111yescharacteristic
1520C22#1062345311yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—222no—
1533C4—222no—
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#1062302614yesdirect product factor
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—442no—
1552C2C2×C4×#434111yescharacteristic
1553C2C2×C4×#433911yescharacteristic
1554C2C4×#6703711yescharacteristic
1555C2C2×#1062302611yescharacteristic
1556C2#1308217011yescharacteristic
1557C2#1308217411yescharacteristic
1558C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
socle, cosocleC23×C11C25
prime radicalC2×#67006C22
hypercenterC2×C4×C22⋊C4D11
hypocenterC11C4×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071750C2semidirect
3. #13071738C2semidirect
4. #13071737C2semidirect
5. #13071724C2semidirect
6. #13071696C2semidirect
7. #13071694C2semidirect
8. #13071610C2semidirect
9. #13071604C2semidirect
11. #13071552C2semidirect
12. #13071550C2semidirect
13. #13071472C2semidirect
14. #13071470C2semidirect
15. #13071465C2semidirect
16. #13071461C2semidirect
17. C4×#66932C2semidirect
18. C4×#66932C2semidirect
19. C4×#66938C2semidirect
20. C4×#66977C2semidirect
21. C4×#66931C2semidirect
22. C4×#66939C2semidirect
23. C4×#66982C2semidirect
24. C4×#66936C2semidirect
26. C42×C22⋊D11C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×#66979C2semidirect
29. C4×#66930C2semidirect
30. C2×C4×C22⋊Dic11C2semidirect
31. C2×C4×C11×C22⋊C4C2semidirect
51. #10623026C4direct (N × H)
62. C2×C42×D11C22semidirect
63. C2×C4×Dic22C22semidirect
126. #10622553C22semidirect
127. #10622553C22semidirect
128. C4×(C2×D11)⋊C4C22semidirect
129. C4×(C2×D11)⋊C4C22semidirect
130. C4×(C2×D11)⋊C4C22semidirect
131. C4×(C2×D11)⋊C4C22semidirect
132. C4×(C2×D11)⋊C4C22semidirect
133. C4×C4⋊Dic11C22semidirect
134. C4×C4⋊Dic11C22semidirect
135. C4×C4⋊Dic11C22semidirect
136. C4×C4⋊Dic11C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. #10622546C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622545C22semidirect
143. #10622545C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C4×Dic11⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C4×Dic11⋊C4C22semidirect
149. C4×Dic11⋊C4C22semidirect
150. C4×Dic11⋊C4C22semidirect
151. C42×Dic11C22semidirect
152. C42×Dic11C22semidirect
153. C42×Dic11C22semidirect
154. #10622542C22semidirect
155. #10622541C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622283C22semidirect
159. #10622282C22semidirect
160. #10622281C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. #10622277C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622268C22semidirect
167. #10622267C22semidirect
168. #10622267C22semidirect
169. #10622266C22semidirect
170. #10622266C22semidirect
171. #10622266C22semidirect
172. #10622266C22semidirect
173. #10622265C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622264C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
214. C2×C11×C22⋊C4C2×C4semidirect
235. C2×C22⋊Dic11C2×C4semidirect
253. #66982C2×C4semidirect
258. C4×C22⋊D11C2×C4semidirect
269. #66979C2×C4semidirect
277. #66977C2×C4semidirect
320. #66939C2×C4semidirect
321. #66938C2×C4semidirect
322. #66936C2×C4semidirect
324. (C22⋊D11)⋊C4C2×C4semidirect
325. #66932C2×C4semidirect
326. #66932C2×C4semidirect
327. #66931C2×C4semidirect
329. #66930C2×C4semidirect
475. C2×C4×D11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
518. (C2×D11)⋊C4C22×C4semidirect
519. (C2×D11)⋊C4C22×C4semidirect
520. (C2×D11)⋊C4C22×C4semidirect
525. C4⋊Dic11C22×C4semidirect
526. C4⋊Dic11C22×C4semidirect
527. C4⋊Dic11C22×C4semidirect
538. Dic11⋊C4C22×C4semidirect
539. Dic11⋊C4C22×C4semidirect
540. Dic11⋊C4C22×C4semidirect
541. Dic11⋊C4C22×C4semidirect
542. Dic11⋊C4C22×C4semidirect
565. C4×Dic11C22×C4semidirect
566. C4×Dic11C22×C4semidirect
567. C4×Dic11C22×C4semidirect
598. C2×C4×C22⋊C4D11semidirect
940. C4×C11#551semidirect
1053. C2×C22⋊C4C4×D11semidirect
1346. C11C4×#551semidirect
1547. C4#10623026direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230262
#130717502
#130717382
#130717372
#130717242
#130716962
#130716942
#130716102
#130716042
#130715952
#130715522
#130715502
#130714722
#130714702
#130714652
#130714612
C4×#669322
C4×#669382
C4×#669772
C4×#669312
C4×#669392
C4×#669822
C4×#669362
C4×#670062
C42×C22⋊D112
C4×(C22⋊D11)⋊C42
C4×#669792
C4×#669302
C2×C4×C22⋊Dic112
C2×C4×C11×C22⋊C42
C4×#55111