Finite Group Databasebeta

← C4×#10623189 #14913657

Subgroups — C4×#10623189 #14913657

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×#10623189C211yesmaximal, characteristic
2#13071746C211yesmaximal, characteristic, complemented
3#13071735C211yesmaximal, characteristic, complemented
4#13071729C211yesmaximal, characteristic, complemented
5#13071723C211yesmaximal, characteristic, complemented
6#13071698C211yesmaximal, characteristic, complemented
7#13071697C211yesmaximal, characteristic, complemented
8#13071612C211yesmaximal, characteristic, complemented
9#13071607C211yesmaximal, characteristic, complemented
10#13071596C211yesmaximal, characteristic
11#13071554C211yesmaximal, characteristic, complemented
12#13071551C211yesmaximal, characteristic, complemented
13#13071478C211yesmaximal, characteristic, complemented
14#13071471C211yesmaximal, characteristic, complemented
15#13071463C211yesmaximal, characteristic, complemented
16#13071458C211yesmaximal, characteristic, complemented
17C4×#66951C211yesmaximal, characteristic, complemented
18C4×#66951C211yesmaximal, characteristic, complemented
19C4×#66938C211yesmaximal, characteristic, complemented
20C4×#66950C211yesmaximal, characteristic, complemented
21C4×#66931C211yesmaximal, characteristic, complemented
22C4×#66939C211yesmaximal, characteristic, complemented
23C4×#66936C211yesmaximal, characteristic, complemented
24C4×#66990C211yesmaximal, characteristic
25C4×D4×Dic11C211yesmaximal, characteristic, complemented
26C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
27C4×#66979C211yesmaximal, characteristic, complemented
28C4×#66945C211yesmaximal, characteristic, complemented
29C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#123C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C22×(C2×D11)⋊C4C2211yescharacteristic
42C22×(C2×D11)⋊C4C2211yescharacteristic
43C2×#66979C2211yescharacteristic
44C2×#66979C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic, complemented
47#10623189C4116yesdirect product factor
48C2×#66951C2211yescharacteristic
49C2×#66951C2211yescharacteristic
50C2×#66950C2211yescharacteristic
51C2×#66945C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×#66939C2211yescharacteristic
54C2×#66938C2211yescharacteristic
55C2×#66936C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×#66931C2211yescharacteristic
61C2×C42×D11C2211yescharacteristic
62C2×C42×D11C2211yescharacteristic
63C2×C4×Dic22C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#387C2211yescharacteristic, complemented
68C11×#386C2211yescharacteristic
69C11×#385C2211yescharacteristic
70C11×#381C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic, complemented
72C4×C11×C4⋊C4C2211yescharacteristic, complemented
73C4×C11×C22⋊C4C2211yescharacteristic
74C4×C11×C22⋊C4C2211yescharacteristic, complemented
75C4×C11×C22⋊C4C2211yescharacteristic, complemented
76#10622833C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic, complemented
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622598C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94C4⋊C4×Dic11C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98#10622587C2211yescharacteristic, complemented
99#10622571C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622564C2211yescharacteristic, complemented
106#10622564C2211yescharacteristic, complemented
107#10622563C2211yescharacteristic
108#10622563C2211yescharacteristic, complemented
109#10622559C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622558C2211yescharacteristic, complemented
112#10622557C2211yescharacteristic, complemented
113#10622556C2211yescharacteristic, complemented
114#10622555C2211yescharacteristic
115C22⋊C4×Dic11C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic, complemented
120C22⋊C4×Dic11C2211yescharacteristic, complemented
121C22⋊C4×Dic11C2211yescharacteristic, complemented
122C22⋊C4×Dic11C2211yescharacteristic, complemented
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
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×C4⋊Dic11C2211yescharacteristic, complemented
136C4×C4⋊Dic11C2211yescharacteristic, complemented
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138C4×C4⋊Dic11C2211yescharacteristic, complemented
139C4×C4⋊Dic11C2211yescharacteristic, complemented
140C4×C4⋊Dic11C2211yescharacteristic, complemented
141#10622545C2211yescharacteristic, complemented
142#10622545C2211yescharacteristic, complemented
143C4×Dic11⋊C4C2211yescharacteristic, complemented
144C4×Dic11⋊C4C2211yescharacteristic, complemented
145C42×Dic11C2211yescharacteristic, complemented
146C42×Dic11C2211yescharacteristic, complemented
147C42×Dic11C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622277C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168#10622268C2211yescharacteristic, complemented
169#10622267C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622264C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11—24no—
202C22×C4×D11—24no—
203C22×C4×D11—42no—
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×#123C2×C418yescomplemented
214C4×D4×C11—24no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11—24no—
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#66990C2×C418yes—
245D4×Dic11—24no—
246D4×Dic11C2×C418yescomplemented
247C4×C22⋊D11—24no—
248C4×C22⋊D11—42no—
249C2×(C2×D11)⋊C4—24no—
250C2×(C2×D11)⋊C4C2×C418yescomplemented
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
269#66979—24no—
270#66979C2×C418yescomplemented
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×C4×Dic11—42no—
289C2×C4×Dic11—42no—
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
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
316#66951C2×C418yescomplemented
317#66951C2×C418yescomplemented
318#66950C2×C418yescomplemented
319#66945—24no—
320#66945C2×C418yescomplemented
321#66939C2×C418yescomplemented
322#66938C2×C418yescomplemented
323#66936C2×C418yescomplemented
324(C22⋊D11)⋊C4—24no—
325(C22⋊D11)⋊C4C2×C418yescomplemented
326C22⋊C4×D11—24no—
327C22⋊C4×D11C2×C418yescomplemented
328#66931C2×C418yescomplemented
329C42×D11—24no—
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
378C24×C11C2411yescharacteristic
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11C22×C414yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11C22×C414yes—
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—41no—
401C22×C4×C11C22×C414yes—
402C22×C4×C11#4114yes—
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
415C22×C4×C11C2411yescharacteristic
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11C22×C414yes—
421C2×C22⋊D11C22×C414yes—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11C22×C414yes—
436C22×Dic11C22×C414yescomplemented
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
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—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—416no—
473C2×C4×D11C22×C414yes—
474C2×C4×D11C22×C414yes—
475C2×C4×D11#4114yes—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22C22×C414yescomplemented
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4C22×C414yescomplemented
483C11×C4⋊C4C22×C414yescomplemented
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C22×C414yescomplemented
491C11×C22⋊C4C22×C414yescomplemented
492C42×C11—22no—
493C42×C11—22no—
494C42×C11—22no—
495C42×C11—22no—
496C42×C11—22no—
497C42×C11—22no—
498C42×C11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11C22×C414yes—
504C22⋊Dic11C22×C414yes—
505C22⋊Dic11C22×C414yescomplemented
506C22⋊Dic11#4114yes—
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—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—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4#4114yes—
525C4⋊Dic11—22no—
526C4⋊Dic11—22no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11C22×C414yescomplemented
531C4⋊Dic11C22×C414yescomplemented
532C4⋊Dic11C22×C414yescomplemented
533C4⋊Dic11C22×C414yescomplemented
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4C22×C414yescomplemented
541Dic11⋊C4C22×C414yescomplemented
542C4×Dic11—22no—
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—41no—
557C4×Dic11—41no—
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×#123D1111yescharacteristic, complemented
592C4×#120—111no—
593C42×D4—111no—
594C42×D4—111no—
595C4×#117—111no—
596C4×#117—111no—
597C2×C4×C22⋊C4—111no—
598C2×C4×C22⋊C4—111no—
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×C11—21no—
609C23×C11C23×C412yes—
610C23×C11C23×C412yes—
611C23×C11C2×#4112yes—
612C23×C11C2×#4112yes—
613C23×C11C2511yescharacteristic
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—28no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—28no—
626C22×D11—44no—
627C22×D11—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11C23×C412yes—
632C22×D11C23×C412yes—
633C22×D11C2×#4112yes—
634C22×D11C2×#4112yes—
635D4×C11—28no—
636C2×C4×C11—28no—
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—28no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—44no—
668C2×C4×C11—44no—
669C2×C4×C11C23×C412yes—
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×C11H(5,𝔽2)12yes—
679C22⋊D11—28no—
680C22⋊D11—44no—
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×Dic11—44no—
717C2×Dic11—44no—
718C2×Dic11C23×C412yes—
719C2×Dic11C23×C412yes—
720C2×Dic11C23×C412yes—
721C2×Dic11C23×C412yes—
722C2×Dic11C23×C412yes—
723C2×Dic11C23×C412yes—
724C2×Dic11C2×#4112yes—
725C2×Dic11C2×#4112yes—
726C2×Dic11C2×#4112yes—
727C2×Dic11C2×#4112yes—
728C4×D11—28no—
729C4×D11—28no—
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×#123C2×D1111yescharacteristic
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×D4C2×D1111yescharacteristic
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C2×#117—111no—
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#388C2×D1111yescharacteristic, complemented
790#388C2×D1111yescharacteristic, complemented
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#387C2×D1111yescharacteristic, complemented
806#387C2×D1111yescharacteristic, complemented
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386C2×D1111yescharacteristic
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#385C2×D1111yescharacteristic
823#383—111no—
824#383—111no—
825#382—111no—
826#381—111no—
827#381—111no—
828#381C2×D1111yescharacteristic
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⋊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⋊C4—111no—
879C4×C22⋊C4C2×D1111yescharacteristic
880C4×C22⋊C4C2×D1111yescharacteristic, complemented
881C4×C22⋊C4C2×D1111yescharacteristic, complemented
882#376—111no—
883#376—111no—
884#376—111no—
885#376—111no—
886C2×#95—111no—
887C2×#95—111no—
888C2×#95—111no—
889C2×#95—111no—
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—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11C4×#4114yes—
907C22×C11C24×C411yescharacteristic
908C22×C11C22×#4111yescharacteristic
909C22×C11C22×#4111yescharacteristic
910C22×C11C22×#4111yescharacteristic
911C22×C11C22×#4111yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11#58511yescharacteristic
914C2×D11—22no—
915C2×D11—22no—
916C2×D11—22no—
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—416no—
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—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11#55114yescomplemented
942Dic11—22no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956C25—111no—
957C22×Q8—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4C22×D1111yescharacteristic
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—224no—
975C23×C4—224no—
976C23×C4—442no—
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#123C4×D1118yescomplemented
987C22⋊Q8—118no—
988C22⋊Q8—118no—
989#120—118no—
990C4×Q8—442no—
991C4×D4—24no—
992C4×D4—118no—
993C4×D4—118no—
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⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—118no—
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—224no—
1053C2×C22⋊C4—224no—
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—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—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×C42—442no—
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#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
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—42no—
1146C2×C11C2×C4×#4111yescharacteristic
1147C2×C11C2×C4×#4111yescharacteristic
1148C2×C11C4×H(5,𝔽2)11yescharacteristic
1149C2×C11C2×#55111yescharacteristic
1150C2×C11#347511yescharacteristic
1151C2×C11#347511yescharacteristic
1152C2×C11#348111yescharacteristic
1153D11—24no—
1154D11—42no—
1155C24—111no—
1156C24—111no—
1157C24—114no—
1158C24—222no—
1159C24—222no—
1160C24—222no—
1161C24—222no—
1162C24—441no—
1163C24—441no—
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—114no—
1172C2×D4—114no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—441no—
1176C2×D4—441no—
1177C2×D4C2×C4×D1114yes—
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—41no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—111no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—114no—
1199C22×C4—114no—
1200C22×C4—114no—
1201C22×C4—114no—
1202C22×C4—114no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
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—222no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—4416no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4C2×C4×D1114yes—
1243C22×C4#434114yes—
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—41no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—114no—
1265C4⋊C4—114no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
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—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
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—114no—
1294C22⋊C4—114no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
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—222no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4C2×C4×D1114yes—
1311C22⋊C4C2×C4×D1114yescomplemented
1312C22⋊C4C2×C4×D1114yescomplemented
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—114no—
1321C42—114no—
1322C42—114no—
1323C42—222no—
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—441no—
1338C42—441no—
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—21no—
1356C23—21no—
1357C23—112no—
1358C23—112no—
1359C23—112no—
1360C23—112no—
1361C23—228no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—228no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—444no—
1374C23—444no—
1375C23—444no—
1376C23—444no—
1377C23—444no—
1378C23C22×C4×D1112yes—
1379C23C22×C4×D1112yes—
1380C23C2×#434112yes—
1381C23#41×D1112yes—
1382C23C24×D1111yescharacteristic
1383Q8—444no—
1384D4—28no—
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—28no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
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—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—112no—
1421C2×C4—112no—
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—228no—
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—221no—
1451C2×C4—228no—
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—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—444no—
1475C2×C4C22×C4×D1112yes—
1476C2×C4C22×C4×D1112yes—
1477C2×C4C22×C4×D1112yes—
1478C2×C4C22×C4×D1112yes—
1479C2×C4C22×C4×D1112yes—
1480C2×C4C2×#434112yes—
1481C2×C4C2×#434112yes—
1482C2×C4#41×D1112yes—
1483C2×C4#41×D1112yes—
1484C2×C4#6704212yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—114no—
1499C22—222no—
1500C22—222no—
1501C22—222no—
1502C22—222no—
1503C22—222no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—4416no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22C4×#434114yes—
1514C22C23×C4×D1111yescharacteristic
1515C22C22×#434111yescharacteristic
1516C22C2×#41×D1111yescharacteristic
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—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—222no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—222no—
1542C4—222no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4#1062318914yesdirect product factor
1548C2—24no—
1549C2—42no—
1550C2—224no—
1551C2—442no—
1552C2C4×#41×D1111yescharacteristic
1553C2C2×C4×#434111yescharacteristic
1554C2C4×#6704211yescharacteristic
1555C2C2×#1062318911yescharacteristic
1556C2#1308216811yescharacteristic
1557C2#1308217611yescharacteristic
1558C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#123C2
socle, cosocleC23×C11C25
prime radicalC2×#66990C22
hypercenterC4×#123D11
hypocenterC11C4×#551
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. #13071746C2semidirect
3. #13071735C2semidirect
4. #13071729C2semidirect
5. #13071723C2semidirect
6. #13071698C2semidirect
7. #13071697C2semidirect
8. #13071612C2semidirect
9. #13071607C2semidirect
11. #13071554C2semidirect
12. #13071551C2semidirect
13. #13071478C2semidirect
14. #13071471C2semidirect
15. #13071463C2semidirect
16. #13071458C2semidirect
17. C4×#66951C2semidirect
18. C4×#66951C2semidirect
19. C4×#66938C2semidirect
20. C4×#66950C2semidirect
21. C4×#66931C2semidirect
22. C4×#66939C2semidirect
23. C4×#66936C2semidirect
25. C4×D4×Dic11C2semidirect
26. C4×(C22⋊D11)⋊C4C2semidirect
27. C4×#66979C2semidirect
28. C4×#66945C2semidirect
29. C2×C4×(C2×D11)⋊C4C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#123C2semidirect
46. C22×C4×Dic11C22semidirect
47. #10623189C4direct (N × H)
63. C2×C4×Dic22C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
67. C11×#387C22semidirect
71. C4×C11×C4⋊C4C22semidirect
72. C4×C11×C4⋊C4C22semidirect
74. C4×C11×C22⋊C4C22semidirect
75. C4×C11×C22⋊C4C22semidirect
81. C4×C22⋊Dic11C22semidirect
89. #10622598C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. C4⋊C4×Dic11C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. #10622587C22semidirect
105. #10622564C22semidirect
106. #10622564C22semidirect
108. #10622563C22semidirect
111. #10622558C22semidirect
112. #10622557C22semidirect
113. #10622556C22semidirect
119. C22⋊C4×Dic11C22semidirect
120. C22⋊C4×Dic11C22semidirect
121. C22⋊C4×Dic11C22semidirect
122. C22⋊C4×Dic11C22semidirect
135. C4×C4⋊Dic11C22semidirect
136. C4×C4⋊Dic11C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. C4×C4⋊Dic11C22semidirect
139. C4×C4⋊Dic11C22semidirect
140. C4×C4⋊Dic11C22semidirect
141. #10622545C22semidirect
142. #10622545C22semidirect
143. C4×Dic11⋊C4C22semidirect
144. C4×Dic11⋊C4C22semidirect
145. C42×Dic11C22semidirect
146. C42×Dic11C22semidirect
147. C42×Dic11C22semidirect
168. #10622268C22semidirect
169. #10622267C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622266C22semidirect
176. #10622266C22semidirect
177. #10622265C22semidirect
178. #10622264C22semidirect
179. #10622264C22semidirect
180. #10622263C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
213. C11×#123C2×C4semidirect
246. D4×Dic11C2×C4semidirect
250. C2×(C2×D11)⋊C4C2×C4semidirect
270. #66979C2×C4semidirect
316. #66951C2×C4semidirect
317. #66951C2×C4semidirect
318. #66950C2×C4semidirect
320. #66945C2×C4semidirect
321. #66939C2×C4semidirect
322. #66938C2×C4semidirect
323. #66936C2×C4semidirect
325. (C22⋊D11)⋊C4C2×C4semidirect
327. C22⋊C4×D11C2×C4semidirect
328. #66931C2×C4semidirect
436. C22×Dic11C22×C4semidirect
478. C2×Dic22C22×C4semidirect
482. C11×C4⋊C4C22×C4semidirect
483. C11×C4⋊C4C22×C4semidirect
490. C11×C22⋊C4C22×C4semidirect
491. C11×C22⋊C4C22×C4semidirect
505. C22⋊Dic11C22×C4semidirect
530. C4⋊Dic11C22×C4semidirect
531. C4⋊Dic11C22×C4semidirect
532. C4⋊Dic11C22×C4semidirect
533. C4⋊Dic11C22×C4semidirect
540. Dic11⋊C4C22×C4semidirect
541. Dic11⋊C4C22×C4semidirect
565. C4×Dic11C22×C4semidirect
566. C4×Dic11C22×C4semidirect
567. C4×Dic11C22×C4semidirect
591. C4×#123D11semidirect
789. #388C2×D11semidirect
790. #388C2×D11semidirect
805. #387C2×D11semidirect
806. #387C2×D11semidirect
846. C4×C4⋊C4C2×D11semidirect
847. C4×C4⋊C4C2×D11semidirect
880. C4×C22⋊C4C2×D11semidirect
881. C4×C22⋊C4C2×D11semidirect
941. C4×C11#551semidirect
986. #123C4×D11semidirect
1277. C4⋊C4C2×C4×D11semidirect
1278. C4⋊C4C2×C4×D11semidirect
1311. C22⋊C4C2×C4×D11semidirect
1312. C22⋊C4C2×C4×D11semidirect
1346. C11C4×#551semidirect
1547. C4#10623189direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231892
#130717462
#130717352
#130717292
#130717232
#130716982
#130716972
#130716122
#130716072
#130715962
#130715542
#130715512
#130714782
#130714712
#130714632
#130714582
C4×#669512
C4×#669382
C4×#669502
C4×#669312
C4×#669392
C4×#669362
C4×#669902
C4×D4×Dic112
C4×(C22⋊D11)⋊C42
C4×#669792
C4×#669452
C2×C4×(C2×D11)⋊C42
C4×C22⋊C4×D112
C4×C11×#1232
C4×#55111