Finite Group Databasebeta

← #14921831

Subgroups — #14921831

Order 2816.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623219C211yesmaximal, characteristic, complemented
2C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
3#13072761C211yesmaximal, characteristic, complemented
4#13072753C211yesmaximal, characteristic, complemented
5#13072639C211yesmaximal, characteristic, complemented
6#13072631C211yesmaximal, characteristic, complemented
7#13072598C211yesmaximal, characteristic, complemented
8#13072454C211yesmaximal, characteristic, complemented
9#13072432C211yesmaximal, characteristic
10#13072430C211yesmaximal, characteristic
11#13072391C211yesmaximal, characteristic, complemented
12#13072313C211yesmaximal, characteristic, complemented
13#13072255C211yesmaximal, characteristic, complemented
14#13072214C211yesmaximal, characteristic, complemented
15#13072140C211yesmaximal, characteristic, complemented
16#13072062C211yesmaximal, characteristic
17#13071976C211yesmaximal, characteristic
18#13071908C211yesmaximal, characteristic, complemented
19#13071906C211yesmaximal, characteristic, complemented
20#13071893C211yesmaximal, characteristic, complemented
21#13071887C211yesmaximal, characteristic, complemented
22#13071187C211yesmaximal, characteristic, complemented
23#13071150C211yesmaximal, characteristic, complemented
24#13071150C211yesmaximal, characteristic, complemented
25#13071150C211yesmaximal, characteristic, complemented
26#13071146C211yesmaximal, characteristic, complemented
27#13071089C211yesmaximal, characteristic, complemented
28#13071054C211yesmaximal, characteristic
29#13071054C211yesmaximal, characteristic
30C4×#66946C211yesmaximal, characteristic
31C11×#2462C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36#10623219—28no—
37C4×Q8×D11—28no—
38C2×#66950C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66949C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66945C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×#66941C2211yescharacteristic
54C2×#66941C2211yescharacteristic
55C2×#66941C2211yescharacteristic
56C2×#66940C2211yescharacteristic
57C2×#66940C2211yescharacteristic
58C2×#66940C2211yescharacteristic
59C2×#66940C2211yescharacteristic
60C2×#66940C2211yescharacteristic
61C2×#66940C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×C42×D11C2211yescharacteristic
64C2×C42×D11C2211yescharacteristic
65C2×C42×D11C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×#66923C2211yescharacteristic
68C2×C4×Dic22C2211yescharacteristic
69C2×C4×Dic22C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic
71C11×#398C2211yescharacteristic
72C11×#398C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#395C2211yescharacteristic
75C11×#389C2211yescharacteristic
76C11×#389C2211yescharacteristic
77C11×#387C2211yescharacteristic
78C11×#387C2211yescharacteristic
79C11×#387C2211yescharacteristic
80C11×#387C2211yescharacteristic
81C11×#387C2211yescharacteristic
82C11×#387C2211yescharacteristic
83C4×C11×C4⋊C4C2211yescharacteristic
84#10622844C2211yescharacteristic
85#10622842C2211yescharacteristic
86#10622607C2211yescharacteristic
87#10622607C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622605C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622599C2211yescharacteristic
100#10622597C2211yescharacteristic
101#10622597C2211yescharacteristic
102#10622597C2211yescharacteristic
103#10622596C2211yescharacteristic
104#10622594C2211yescharacteristic
105#10622594C2211yescharacteristic
106#10622594C2211yescharacteristic
107#10622593C2211yescharacteristic
108#10622592C2211yescharacteristic
109#10622592C2211yescharacteristic
110#10622592C2211yescharacteristic
111#10622589C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113C4⋊C4×Dic11C2211yescharacteristic
114C4⋊C4×Dic11C2211yescharacteristic
115C4⋊C4×Dic11C2211yescharacteristic
116C4⋊C4×Dic11C2211yescharacteristic
117C4⋊C4×Dic11C2211yescharacteristic
118C4⋊C4×Dic11C2211yescharacteristic
119#10622585C2211yescharacteristic
120#10622585C2211yescharacteristic
121#10622585C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622546C2211yescharacteristic
129#10622546C2211yescharacteristic
130C42×Dic11C2211yescharacteristic
131#10622542C2211yescharacteristic
132#10622541C2211yescharacteristic
133#10622290C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622280C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622274C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622274C2211yescharacteristic
160#10622273C2211yescharacteristic
161#10622270C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622269C2211yescharacteristic
164#10622269C2211yescharacteristic
165#10622269C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622261C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C2×Q8×D11—24no—
191C2×Q8×D11—24no—
192C2×Q8×D11—24no—
193C22×D44C2311yescharacteristic
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
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C11×#125—24no—
211C4×Q8×C11—24no—
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×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232Q8×Dic11—24no—
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×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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×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
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
306#66950—24no—
307#66949—24no—
308#66949—24no—
309#66949—24no—
310#66949—24no—
311#66949—24no—
312#66949—24no—
313#66949—24no—
314#66946—24no—
315#66946Q818yescomplemented
316#66945—24no—
317#66945—24no—
318C4⋊C4×D11—24no—
319C4⋊C4×D11—24no—
320C4⋊C4×D11—24no—
321#66941—24no—
322#66941—24no—
323#66941—24no—
324#66940—24no—
325#66940—24no—
326#66940—24no—
327#66940—24no—
328#66940—24no—
329#66940D418yescomplemented
330C4×D44—24no—
331C42×D11—24no—
332C42×D11—24no—
333C42×D11—24no—
334C42×D11—24no—
335#66923—24no—
336C4×Dic22—24no—
337C4×Dic22—24no—
338C4×Dic22—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383#34691—111nomaximal, Sylow
384C23×D11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C2×Q8×C11—22no—
387C2×Q8×C11—22no—
388C2×Q8×C11—22no—
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418Q8×D11—232no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44C2×Q814yes—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11C2×Q814yes—
450C2×C4×D11C2×Q814yescomplemented
451C2×C4×D11#4114yes—
452C2×Dic22—22no—
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—22no—
459C2×Dic22—22no—
460C2×Dic22—22no—
461C2×Dic22—22no—
462C2×Dic22—22no—
463C2×Dic22—22no—
464C2×Dic22—22no—
465C2×Dic22—22no—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22C2×D414yes—
469C2×Dic22#4114yes—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4C2×D414yes—
484C11×C4⋊C4C2×Q814yescomplemented
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4C2×Q814yes—
506(C2×D11)⋊C4C2×Q814yescomplemented
507(C2×D11)⋊C4#4114yes—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—22no—
515C4⋊Dic11—22no—
516C4⋊Dic11—22no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4C2×D414yes—
542Dic11⋊C4C2×D414yes—
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×Dic11C2×D414yes—
560C4×Dic11C2×D414yes—
561C4×Dic11C2×D414yes—
562C4×Dic11C2×Q814yescomplemented
563C2×#533—111no—
564C22×C4×Q8—111no—
565#2473—111no—
566#2473—111no—
567#2465—111no—
568#2465—111no—
569#2462—111no—
570#2462D1111yescharacteristic, complemented
571#2451—111no—
572#2449—111no—
573#2449—111no—
574#2446—111no—
575#2440—111no—
576#2434—111no—
577#2429—111no—
578#2423—111no—
579#2417—111no—
580#2409—111no—
581#2399—111no—
582#2399—111no—
583#2396—111no—
584#2396—111no—
585C4×C4⋊Q8—111no—
586C4×C22⋊Q8—111no—
587C4×C22⋊Q8—111no—
588C4×C22⋊Q8—111no—
589C4×C22⋊Q8—111no—
590#2295—111no—
591#2290—111no—
592#2290—111no—
593C42×D4—111no—
594C23×C11C2511yescharacteristic
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11C22×Q812yes—
606C22×D11C22×Q812yes—
607C22×D11C2×#4112yes—
608C22×D11C2×#4112yes—
609Q8×C11—28no—
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×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11C22×D412yes—
647C2×C4×C11C22×D412yes—
648C2×C4×C11C22×D412yes—
649C2×C4×C11C22×Q812yes—
650C2×C4×C11C22×Q812yes—
651C2×C4×C11C22×Q812yes—
652C2×C4×C11C2×#4112yes—
653C2×C4×C11C2×#4112yes—
654C2×C4×C11C2×#4112yes—
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×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11C22×D412yes—
687C2×Dic11C22×D412yes—
688C2×Dic11C22×D412yes—
689C2×Dic11C22×D412yes—
690C2×Dic11C22×Q812yes—
691C2×Dic11C22×Q812yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C2×Dic11C2×#4112yes—
696C2×Dic112−1+412yes—
697D44—28no—
698C4×D11—28no—
699C4×D11—28no—
700C4×D11—28no—
701C4×D11—28no—
702C4×D11—28no—
703C4×D11—44no—
704C4×D11—44no—
705C4×D11—44no—
706C4×D11—44no—
707C4×D11—44no—
708Dic22—28no—
709Dic22—28no—
710Dic22—28no—
711Dic22—44no—
712Dic22—44no—
713Dic22—44no—
714C23×Q8—111no—
715#533—228no—
716C2×C4⋊Q8—111no—
717C2×C4⋊Q8—111no—
718C2×C4⋊Q8—111no—
719C2×#125—111no—
720C2×#125C2×D1111yescharacteristic
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—111no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—111no—
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×C4×Q8—111no—
730C2×C4×Q8—111no—
731C2×C4×Q8—111no—
732C2×C4×Q8—111no—
733C2×C4×Q8—111no—
734C2×C4×Q8—111no—
735C2×C4×Q8—111no—
736C2×C4×Q8—111no—
737C2×C4×Q8—111no—
738C2×C4×Q8—111no—
739C2×C4×Q8—228no—
740C2×C4×Q8C2×D1111yescharacteristic
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×#117—111no—
745C2×#117—111no—
746C22×C4⋊C4—111no—
747C22×C4⋊C4—111no—
748C22×C4⋊C4—111no—
749C22×C42—111no—
750C22×C42—111no—
751C22×C42—111no—
752C22×C42—111no—
753#400—111no—
754#400—111no—
755#399—111no—
756#399—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#398—111no—
762#398—111no—
763#398—111no—
764#398—111no—
765#398—111no—
766#398—111no—
767#398C2×D1111yescharacteristic
768#398C2×D1111yescharacteristic
769#396—111no—
770#396—111no—
771#396—111no—
772#396—111no—
773#395—111no—
774#395—111no—
775#395—111no—
776#395—111no—
777#395—111no—
778#395—111no—
779#395—111no—
780#395—111no—
781#395C2×D1111yescharacteristic
782#395C2×D1111yescharacteristic
783#393—111no—
784#393—111no—
785#391—111no—
786#391—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#391—111no—
793#389—111no—
794#389—111no—
795#389—111no—
796#389—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389C2×D1111yescharacteristic
802#389C2×D1111yescharacteristic
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387C2×D1111yescharacteristic
818#387C2×D1111yescharacteristic
819#387C2×D1111yescharacteristic
820#387C2×D1111yescharacteristic
821#387C2×D1111yescharacteristic
822#387C2×D1111yescharacteristic
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#384—111no—
840#380—111no—
841#380—111no—
842#380—111no—
843#380—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4C2×D1111yescharacteristic
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—
868#376—111no—
869#376—111no—
870C43—111no—
871C22×C11C23×D411yescharacteristic
872C22×C11C23×Q811yescharacteristic
873C22×C11C22×#4111yescharacteristic
874C22×C11C22×#4111yescharacteristic
875C22×C11C22×#4111yescharacteristic
876C22×C11C2×2−1+411yescharacteristic
877C22×C11#58511yescharacteristic
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11#53314yescomplemented
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907Dic11—22no—
908Dic11—22no—
909Dic11—22no—
910Dic11—22no—
911Dic11—22no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11#52514yes—
920Dic11D4×Q814yes—
921C22×Q8—111no—
922C22×Q8—111no—
923C22×Q8—111no—
924C22×Q8—111no—
925C22×Q8—111no—
926C22×Q8—111no—
927C22×Q8—224no—
928C22×Q8—224no—
929C22×Q8—224no—
930C22×Q8C22×D1111yescharacteristic
931C22×D4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—111no—
942C4⋊Q8—224no—
943C4⋊Q8—224no—
944C4⋊Q8—224no—
945#125—24no—
946#125—224no—
947C22⋊Q8—224no—
948C22⋊Q8—224no—
949C22⋊Q8—224no—
950C22⋊Q8—224no—
951C22⋊Q8—224no—
952C22⋊Q8—224no—
953C22⋊Q8—224no—
954C22⋊Q8—224no—
955C4×Q8—24no—
956C4×Q8—118no—
957C4×Q8—224no—
958C4×Q8—224no—
959C4×Q8—224no—
960C4×Q8—224no—
961C4×Q8—224no—
962C4×Q8—224no—
963C4×Q8—224no—
964C4×Q8—224no—
965C4×Q8—224no—
966C4×D4—118no—
967C4×D4—224no—
968C4×D4—224no—
969#117—224no—
970#117—224no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—224no—
1007C2×C4⋊C4—224no—
1008C2×C4⋊C4—224no—
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C4⋊C4C22×D1111yescharacteristic
1011C2×C4⋊C4C22×D1111yescharacteristic
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
1016C2×C4⋊C4C22×D1111yescharacteristic
1017C2×C4⋊C4C22×D1111yescharacteristic
1018C2×C4⋊C4C22×D1111yescharacteristic
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—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×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—224no—
1063C2×C42—224no—
1064C2×C42—224no—
1065C2×C42—224no—
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
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#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115C2×C11C2×#52511yescharacteristic
1116C2×C11C2×#53311yescharacteristic
1117C2×C11#346111yescharacteristic
1118C2×C11C2×D4×Q811yescharacteristic
1119C2×C11D4×#4111yescharacteristic
1120C2×C11Q8×#4111yescharacteristic
1121C2×C11#348211yescharacteristic
1122D11—24no—
1123D11—42no—
1124C24—111no—
1125C24—111no—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—114no—
1130C2×Q8—114no—
1131C2×Q8—222no—
1132C2×Q8—222no—
1133C2×Q8—222no—
1134C2×Q8—222no—
1135C2×Q8—222no—
1136C2×Q8—222no—
1137C2×Q8—222no—
1138C2×Q8—222no—
1139C2×Q8—222no—
1140C2×Q8—222no—
1141C2×Q8—222no—
1142C2×Q8—222no—
1143C2×Q8—2232no—
1144C2×Q8—222no—
1145C2×Q8—222no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×D4—114no—
1149C2×D4—222no—
1150C2×D4—222no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—114no—
1159C22×C4—114no—
1160C22×C4—114no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—111no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—222no—
1180C22×C4—222no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—441no—
1194C22×C4—441no—
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—114no—
1224C4⋊C4—114no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—222no—
1229C4⋊C4—222no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—222no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—222no—
1246C4⋊C4—222no—
1247C4⋊C4—222no—
1248C4⋊C4—222no—
1249C4⋊C4—222no—
1250C4⋊C4—222no—
1251C4⋊C4—222no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4D4×D1114yes—
1259C4⋊C4Q8×D1114yescomplemented
1260C22⋊C4—114no—
1261C22⋊C4—114no—
1262C22⋊C4—114no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—222no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C42—22no—
1279C42—22no—
1280C42—22no—
1281C42—22no—
1282C42—22no—
1283C42—114no—
1284C42—114no—
1285C42—114no—
1286C42—114no—
1287C42—222no—
1288C42—222no—
1289C42—222no—
1290C42—222no—
1291C42—222no—
1292C42—222no—
1293C42—222no—
1294C42—222no—
1295C42—222no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—222no—
1300C42—222no—
1301C42—222no—
1302C42—441no—
1303C11#3469111yescharacteristic, complemented, Sylow
1304C23—112no—
1305C23—112no—
1306C23—112no—
1307C23—112no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23C24×D1111yescharacteristic
1319Q8—28no—
1320Q8—228no—
1321Q8—228no—
1322Q8—228no—
1323Q8—444no—
1324Q8—444no—
1325Q8—444no—
1326D4—228no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—112no—
1368C2×C4—112no—
1369C2×C4—112no—
1370C2×C4—112no—
1371C2×C4—112no—
1372C2×C4—112no—
1373C2×C4—112no—
1374C2×C4—228no—
1375C2×C4—228no—
1376C2×C4—228no—
1377C2×C4—228no—
1378C2×C4—228no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4—444no—
1414C2×C4—444no—
1415C2×C4C2×D4×D1112yes—
1416C2×C4C2×D4×D1112yes—
1417C2×C4C2×D4×D1112yes—
1418C2×C4C2×Q8×D1112yes—
1419C2×C4C2×Q8×D1112yes—
1420C2×C4C2×Q8×D1112yes—
1421C2×C4#41×D1112yes—
1422C2×C4#41×D1112yes—
1423C2×C4#41×D1112yes—
1424C22—114no—
1425C22—222no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22C22×D4×D1111yescharacteristic
1439C22C22×Q8×D1111yescharacteristic
1440C22C2×#41×D1111yescharacteristic
1441C22C2×#41×D1111yescharacteristic
1442C22C2×#41×D1111yescharacteristic
1443C22D11×2−1+411yescharacteristic
1444C22#1062345711yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—114no—
1461C4—114no—
1462C4—222no—
1463C4—222no—
1464C4—222no—
1465C4—222no—
1466C4—222no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C2—224no—
1475C2—442no—
1476C2D11×#52511yescharacteristic
1477C2D11×#53311yescharacteristic
1478C2#1308204811yescharacteristic
1479C2D4×Q8×D1111yescharacteristic
1480C2#1308210311yescharacteristic
1481C2#1308219811yescharacteristic
1482C2#1308223011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2462C2
prime radicalC22×D44C23
hypercenter#2462D11
hypocenterC11#34691
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2462

Complements

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

NH ≅ G/Ntype
1. C2×#10623219C2semidirect
2. C2×C4×Q8×D11C2semidirect
3. #13072761C2semidirect
4. #13072753C2semidirect
5. #13072639C2semidirect
6. #13072631C2semidirect
7. #13072598C2semidirect
8. #13072454C2semidirect
11. #13072391C2semidirect
12. #13072313C2semidirect
13. #13072255C2semidirect
14. #13072214C2semidirect
15. #13072140C2semidirect
18. #13071908C2semidirect
19. #13071906C2semidirect
20. #13071893C2semidirect
21. #13071887C2semidirect
22. #13071187C2semidirect
23. #13071150C2semidirect
24. #13071150C2semidirect
25. #13071150C2semidirect
26. #13071146C2semidirect
27. #13071089C2semidirect
31. C11×#2462C2semidirect
315. #66946Q8semidirect
329. #66940D4semidirect
450. C2×C4×D11C2×Q8semidirect
484. C11×C4⋊C4C2×Q8semidirect
506. (C2×D11)⋊C4C2×Q8semidirect
562. C4×Dic11C2×Q8semidirect
570. #2462D11semidirect
891. C2×D11#533semidirect
1259. C4⋊C4Q8×D11semidirect
1303. C11#34691semidirect

Maximal subgroups

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

subgroupindex
C2×#106232192
C2×C4×Q8×D112
#130727612
#130727532
#130726392
#130726312
#130725982
#130724542
#130724322
#130724302
#130723912
#130723132
#130722552
#130722142
#130721402
#130720622
#130719762
#130719082
#130719062
#130718932
#130718872
#130711872
#130711502
#130711462
#130710892
#130710542
C4×#669462
C11×#24622
#3469111