Finite Group Databasebeta

← C4×#10623223 #14912867

Subgroups — C4×#10623223 #14912867

Order 2816.

2330 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623223C211yesmaximal, characteristic
2#13071422C211yesmaximal, characteristic, complemented
3#13071421C211yesmaximal, characteristic, complemented
4#13071412C211yesmaximal, characteristic, complemented
5#13071409C211yesmaximal, characteristic, complemented
6#13071387C211yesmaximal, characteristic, complemented
7#13071384C211yesmaximal, characteristic, complemented
8#13071370C211yesmaximal, characteristic, complemented
9#13071368C211yesmaximal, characteristic, complemented
10#13071350C211yesmaximal, characteristic, complemented
11#13071315C211yesmaximal, characteristic
12#13071289C211yesmaximal, characteristic, complemented
13#13071280C211yesmaximal, characteristic, complemented
14#13071252C211yesmaximal, characteristic, complemented
15#13071248C211yesmaximal, characteristic, complemented
16#13071215C211yesmaximal, characteristic, complemented
17C4×#66942C211yesmaximal, characteristic, complemented
18C4×#66951C211yesmaximal, characteristic, complemented
19C4×#66929C211yesmaximal, characteristic, complemented
20C4×#66950C211yesmaximal, characteristic, complemented
21C4×#66949C211yesmaximal, characteristic, complemented
22C4×#66949C211yesmaximal, characteristic, complemented
23C4×#66947C211yesmaximal, characteristic, complemented
24C4×#66947C211yesmaximal, characteristic, complemented
25C4×#66947C211yesmaximal, characteristic, complemented
26C4×#66947C211yesmaximal, characteristic, complemented
27C4×#66948C211yesmaximal, characteristic
28C42×D44C211yesmaximal, characteristic, complemented
29C4×#66946C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#125C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33#10623223C4116yesdirect product factor
34C2×#66951C2211yescharacteristic
35C2×#66950C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66948C2211yescharacteristic
39C2×#66947C2211yescharacteristic
40C2×#66947C2211yescharacteristic
41C2×#66947C2211yescharacteristic
42C2×#66947C2211yescharacteristic
43C2×#66946C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×#66942C2211yescharacteristic
48C2×#66929C2211yescharacteristic
49C2×C4×D44C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×C4×D44C2211yescharacteristic
52C2×C4×D44C2211yescharacteristic
53C2×C4×D44C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C2×C42×D11C2211yescharacteristic
56C2×C42×D11C2211yescharacteristic
57C2×C42×D11C2211yescharacteristic
58C2×C42×D11C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#389C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#387C2211yescharacteristic
65C11×#387C2211yescharacteristic
66C11×#382C2211yescharacteristic
67C4×C11×C4⋊C4C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic
69C4×C11×C4⋊C4C2211yescharacteristic
70C4×C11×C4⋊C4C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic
72C4×C11×C4⋊C4C2211yescharacteristic
73C43×C11C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622601C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622598C2211yescharacteristic
89#10622598C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622594C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622594C2211yescharacteristic
95#10622594C2211yescharacteristic
96#10622594C2211yescharacteristic
97#10622594C2211yescharacteristic
98#10622591C2211yescharacteristic
99#10622591C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104#10622587C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125#10622550C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127C4×C4⋊Dic11C2211yescharacteristic
128C4×C4⋊Dic11C2211yescharacteristic
129C4×C4⋊Dic11C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C42×Dic11C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622268C2211yescharacteristic
173#10622268C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622264C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D44C2311yescharacteristic
189C22×D44C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C11×#125C2×C418yescomplemented
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296#66951C2×C418yescomplemented
297#66950C2×C418yescomplemented
298#66949C2×C418yescomplemented
299#66949C2×C418yescomplemented
300#66948C2×C418yes—
301#66947C2×C418yescomplemented
302#66947C2×C418yescomplemented
303#66947C2×C418yescomplemented
304#66947C2×C418yescomplemented
305#66946—24no—
306#66946C2×C418yescomplemented
307C4⋊C4×D11—24no—
308C4⋊C4×D11C2×C418yescomplemented
309#66942C2×C418yescomplemented
310#66929C2×C418yescomplemented
311C4×D44—24no—
312C4×D44—24no—
313C4×D44—24no—
314C4×D44—42no—
315C4×D44C2×C418yescomplemented
316C42×D11—24no—
317C42×D11—42no—
318C42×D11—42no—
319C42×D11—42no—
320C42×D11—42no—
321C4×Dic22—42no—
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
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
370C4×#539—111nomaximal, Sylow
371C23×D11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C2×D44—22no—
403C2×D44—22no—
404C2×D44—22no—
405C2×D44—22no—
406C2×D44—41no—
407C2×D44—41no—
408C2×D44C22×C414yes—
409C2×D44C22×C414yes—
410C2×D44C22×C414yes—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11C22×C414yes—
444C2×C4×D11C22×C414yes—
445C2×C4×D11C22×C414yes—
446C2×C4×D11C22×C414yes—
447C2×C4×D11C22×C414yes—
448C2×C4×D11#4114yes—
449C2×C4×D11#4114yes—
450C2×Dic22—41no—
451C2×Dic22—41no—
452C2×Dic22C22×C414yes—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4C22×C414yes—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C4⋊C4C22×C414yes—
463C11×C4⋊C4C22×C414yes—
464C11×C4⋊C4C22×C414yes—
465C42×C11—22no—
466C42×C11—22no—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—22no—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—41no—
474C42×C11—41no—
475C42×C11C22×C414yes—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4C22×C414yes—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496(C2×D11)⋊C4C22×C414yes—
497(C2×D11)⋊C4C22×C414yes—
498(C2×D11)⋊C4C22×C414yes—
499(C2×D11)⋊C4C22×C414yes—
500(C2×D11)⋊C4C22×C414yes—
501(C2×D11)⋊C4C22×C414yes—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11C22×C414yes—
509C4⋊Dic11C22×C414yes—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4C22×C414yes—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11C22×C414yes—
543C2×#539—111no—
544#2336—111no—
545#2336—111no—
546#2335—111no—
547#2335—111no—
548#2334—111no—
549#2334—111no—
550#2332—111no—
551#2332—111no—
552#2329—111no—
553#2325—111no—
554#2322—111no—
555#2322—111no—
556#2318—111no—
557#2318—111no—
558#2313—111no—
559C4×#125—111no—
560C4×#125D1111yescharacteristic, complemented
561C4×#126—111no—
562C4×#126—111no—
563C4×C22⋊Q8—111no—
564C4×C22⋊Q8—111no—
565C4×C22⋊Q8—111no—
566C4×#123—111no—
567C4×#123—111no—
568C4×#123—111no—
569C4×#123—111no—
570C4×#121—111no—
571C42×D4—111no—
572C42×D4—111no—
573C2×C4×C4⋊C4—111no—
574C23×C11C2511yescharacteristic
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11C23×C412yes—
592C22×D11C23×C412yes—
593C22×D11C23×C412yes—
594C22×D11C2×#4112yes—
595C22×D11C2×#4112yes—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11C23×C412yes—
631C2×C4×C11C23×C412yes—
632C2×C4×C11C23×C412yes—
633C2×C4×C11C23×C412yes—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C2×#4112yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11H(5,𝔽2)12yes—
640C2×C4×C112−1+412yes—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11C23×C412yes—
674C2×Dic11C23×C412yes—
675C2×Dic11C23×C412yes—
676C2×Dic11C23×C412yes—
677C2×Dic11C23×C412yes—
678C2×Dic11C2×#4112yes—
679C2×Dic11C2×#4112yes—
680D44—28no—
681D44—28no—
682D44—44no—
683C4×D11—28no—
684C4×D11—28no—
685C4×D11—44no—
686C4×D11—44no—
687C4×D11—44no—
688C4×D11—44no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696Dic22—44no—
697#539—1116no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125C2×D1111yescharacteristic
702C2×#123—111no—
703C2×#123—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8—111no—
709C2×#121—111no—
710C2×C4×Q8—111no—
711C2×C4×D4—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C22×C4⋊C4—111no—
719C22×C4⋊C4—111no—
720C22×C42—111no—
721C22×C42—111no—
722C22×C42—111no—
723C22×C42—111no—
724C22×C42—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#390—111no—
729#389—111no—
730#389—111no—
731#389—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389C2×D1111yescharacteristic
736#389C2×D1111yescharacteristic
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387C2×D1111yescharacteristic
778#387C2×D1111yescharacteristic
779#387C2×D1111yescharacteristic
780#387C2×D1111yescharacteristic
781#386—111no—
782#386—111no—
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#383—111no—
798#383—111no—
799#382—111no—
800#382C2×D1111yescharacteristic
801#381—111no—
802#381—111no—
803#381—111no—
804#381—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809C4×C4⋊C4—111no—
810C4×C4⋊C4—111no—
811C4×C4⋊C4—111no—
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4C2×D1111yescharacteristic
826C4×C4⋊C4C2×D1111yescharacteristic
827C4×C4⋊C4C2×D1111yescharacteristic
828C4×C4⋊C4C2×D1111yescharacteristic
829C4×C4⋊C4C2×D1111yescharacteristic
830C4×C4⋊C4C2×D1111yescharacteristic
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C2×#95—111no—
850C2×#95—111no—
851C43—111no—
852C43C2×D1111yescharacteristic
853C22×C11C24×C411yescharacteristic
854C22×C11C22×#4111yescharacteristic
855C22×C11C22×#4111yescharacteristic
856C22×C11C2×H(5,𝔽2)11yescharacteristic
857C22×C11C2×2−1+411yescharacteristic
858C22×C11#58511yescharacteristic
859C22×C11#58511yescharacteristic
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11C4×#4114yes—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—22no—
885C4×C11—22no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11#53914yescomplemented
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—22no—
900Dic11—22no—
901Dic11—22no—
902Dic11—22no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11—41no—
907Dic11—41no—
908Dic11—41no—
909C22×Q8—111no—
910C22×D4—111no—
911C22×D4—111no—
912C22×D4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926#126—118no—
927#126—118no—
928#125—118no—
929#125C4×D1118yescomplemented
930#123—118no—
931#123—118no—
932#123—118no—
933#123—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8—118no—
937#121—118no—
938C4×Q8—442no—
939C4×D4—118no—
940C4×D4—118no—
941C4×D4—224no—
942C4×D4—224no—
943C4×D4—224no—
944C4×D4—224no—
945C4×D4—442no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—118no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—224no—
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—224no—
1028C2×C42—442no—
1029C2×C42—442no—
1030C2×C42—442no—
1031C2×C42—442no—
1032C2×C42C22×D1111yescharacteristic
1033C2×C42C22×D1111yescharacteristic
1034C2×C42C22×D1111yescharacteristic
1035C2×C42C22×D1111yescharacteristic
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091C2×C11C2×C4×#4111yescharacteristic
1092C2×C11C4×H(5,𝔽2)11yescharacteristic
1093C2×C11C4×2−1+411yescharacteristic
1094C2×C11C2×#53911yescharacteristic
1095C2×C11#345511yescharacteristic
1096C2×C11#345911yescharacteristic
1097C2×C11#346111yescharacteristic
1098D11—24no—
1099D11—42no—
1100D11—42no—
1101C24—111no—
1102C24—111no—
1103C24—111no—
1104C2×Q8—114no—
1105C2×Q8—441no—
1106C2×Q8—441no—
1107C2×D4—114no—
1108C2×D4—114no—
1109C2×D4—114no—
1110C2×D4—222no—
1111C2×D4—222no—
1112C2×D4—222no—
1113C2×D4—222no—
1114C2×D4—441no—
1115C2×D4—441no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—114no—
1124C22×C4—114no—
1125C22×C4—114no—
1126C22×C4—114no—
1127C22×C4—114no—
1128C22×C4—114no—
1129C22×C4—114no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—222no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—222no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—114no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4C2×C4×D1114yes—
1212C4⋊C4C2×C4×D1114yes—
1213C4⋊C4C2×C4×D1114yes—
1214C4⋊C4C2×C4×D1114yes—
1215C4⋊C4C2×C4×D1114yes—
1216C4⋊C4C2×C4×D1114yes—
1217C22⋊C4—114no—
1218C22⋊C4—114no—
1219C22⋊C4—114no—
1220C22⋊C4—114no—
1221C22⋊C4—114no—
1222C22⋊C4—114no—
1223C22⋊C4—114no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C42—22no—
1244C42—22no—
1245C42—22no—
1246C42—22no—
1247C42—22no—
1248C42—22no—
1249C42—22no—
1250C42—22no—
1251C42—41no—
1252C42—41no—
1253C42—114no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—441no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42C2×C4×D1114yes—
1273C11C4×#53911yescharacteristic, complemented, Sylow
1274C23—112no—
1275C23—112no—
1276C23—112no—
1277C23—112no—
1278C23—112no—
1279C23—221no—
1280C23—221no—
1281C23—221no—
1282C23—221no—
1283C23—221no—
1284C23—221no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23C24×D1111yescharacteristic
1296Q8—444no—
1297D4—228no—
1298D4—228no—
1299D4—444no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—112no—
1335C2×C4—112no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—228no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—228no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—444no—
1376C2×C4—444no—
1377C2×C4—444no—
1378C2×C4—444no—
1379C2×C4—444no—
1380C2×C4—444no—
1381C2×C4—444no—
1382C2×C4—444no—
1383C2×C4—444no—
1384C2×C4—444no—
1385C2×C4—444no—
1386C2×C4C22×C4×D1112yes—
1387C2×C4C22×C4×D1112yes—
1388C2×C4C22×C4×D1112yes—
1389C2×C4C22×C4×D1112yes—
1390C2×C4C22×C4×D1112yes—
1391C2×C4C22×C4×D1112yes—
1392C2×C4C22×C4×D1112yes—
1393C2×C4#6704012yes—
1394C2×C4#41×D1112yes—
1395C2×C4#41×D1112yes—
1396C2×C4#6704212yes—
1397C22—114no—
1398C22—222no—
1399C22—222no—
1400C22—222no—
1401C22—222no—
1402C22—222no—
1403C22—222no—
1404C22—222no—
1405C22—222no—
1406C22—222no—
1407C22—222no—
1408C22—222no—
1409C22—222no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—441no—
1414C22—441no—
1415C22—441no—
1416C22—441no—
1417C22—441no—
1418C22C23×C4×D1111yescharacteristic
1419C22C2×#6704011yescharacteristic
1420C22C2×#41×D1111yescharacteristic
1421C22C2×#41×D1111yescharacteristic
1422C22C2×#6704211yescharacteristic
1423C22#1062345311yescharacteristic
1424C22#1062345311yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—222no—
1440C4—222no—
1441C4—222no—
1442C4—222no—
1443C4—222no—
1444C4—222no—
1445C4—222no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C4—441no—
1450C4—441no—
1451C4—441no—
1452C4#1062322314yesdirect product factor
1453C2—224no—
1454C2—442no—
1455C2—442no—
1456C2C4×#41×D1111yescharacteristic
1457C2C4×#6704211yescharacteristic
1458C2C4×#6704011yescharacteristic
1459C2C2×#1062322311yescharacteristic
1460C2#1308199911yescharacteristic
1461C2#1308202611yescharacteristic
1462C2#1308204711yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#125C2
socle, cosocleC23×C11C25
prime radicalC2×#66948C22
hypercenterC4×#125D11
hypocenterC11C4×#539
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#125

Complements

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

NH ≅ G/Ntype
2. #13071422C2semidirect
3. #13071421C2semidirect
4. #13071412C2semidirect
5. #13071409C2semidirect
6. #13071387C2semidirect
7. #13071384C2semidirect
8. #13071370C2semidirect
9. #13071368C2semidirect
10. #13071350C2semidirect
12. #13071289C2semidirect
13. #13071280C2semidirect
14. #13071252C2semidirect
15. #13071248C2semidirect
16. #13071215C2semidirect
17. C4×#66942C2semidirect
18. C4×#66951C2semidirect
19. C4×#66929C2semidirect
20. C4×#66950C2semidirect
21. C4×#66949C2semidirect
22. C4×#66949C2semidirect
23. C4×#66947C2semidirect
24. C4×#66947C2semidirect
25. C4×#66947C2semidirect
26. C4×#66947C2semidirect
28. C42×D44C2semidirect
29. C4×#66946C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C4×C11×#125C2semidirect
33. #10623223C4direct (N × H)
205. C11×#125C2×C4semidirect
296. #66951C2×C4semidirect
297. #66950C2×C4semidirect
298. #66949C2×C4semidirect
299. #66949C2×C4semidirect
301. #66947C2×C4semidirect
302. #66947C2×C4semidirect
303. #66947C2×C4semidirect
304. #66947C2×C4semidirect
306. #66946C2×C4semidirect
308. C4⋊C4×D11C2×C4semidirect
309. #66942C2×C4semidirect
310. #66929C2×C4semidirect
315. C4×D44C2×C4semidirect
560. C4×#125D11semidirect
895. C4×C11#539semidirect
929. #125C4×D11semidirect
1273. C11C4×#539semidirect
1452. C4#10623223direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232232
#130714222
#130714212
#130714122
#130714092
#130713872
#130713842
#130713702
#130713682
#130713502
#130713152
#130712892
#130712802
#130712522
#130712482
#130712152
C4×#669422
C4×#669512
C4×#669292
C4×#669502
C4×#669492
C4×#669472
C4×#669482
C42×D442
C4×#669462
C4×C4⋊C4×D112
C4×C11×#1252
C4×#53911