Finite Group Databasebeta

← #14960581

Subgroups — #14960581

Order 2816.

2326 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623260C211yesmaximal, characteristic, complemented
2C2×D11×C22⋊Q8C211yesmaximal, characteristic
3#13076902C211yesmaximal, characteristic
4#13076900C211yesmaximal, characteristic
5#13075088C211yesmaximal, characteristic, complemented
6#13075086C211yesmaximal, characteristic, complemented
7#13075085C211yesmaximal, characteristic, complemented
8#13075083C211yesmaximal, characteristic, complemented
9#13075081C211yesmaximal, characteristic, complemented
10#13075080C211yesmaximal, characteristic, complemented
11#13075079C211yesmaximal, characteristic, complemented
12#13075078C211yesmaximal, characteristic, complemented
13#13074933C211yesmaximal, characteristic, complemented
14#13074932C211yesmaximal, characteristic, complemented
15#13074930C211yesmaximal, characteristic, complemented
16#13074927C211yesmaximal, characteristic, complemented
17#13074926C211yesmaximal, characteristic, complemented
18#13074926C211yesmaximal, characteristic, complemented
19#13074925C211yesmaximal, characteristic, complemented
20#13074434C211yesmaximal, characteristic, complemented
21#13074428C211yesmaximal, characteristic, complemented
22#13073772C211yesmaximal, characteristic
23#13073770C211yesmaximal, characteristic
24#13072901C211yesmaximal, characteristic, complemented
25#13072898C211yesmaximal, characteristic, complemented
26#13072891C211yesmaximal, characteristic
27#13072888C211yesmaximal, characteristic
28#13072257C211yesmaximal, characteristic, complemented
29#13072255C211yesmaximal, characteristic, complemented
30#13071215C211yesmaximal, characteristic, complemented
31C11×#2677C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×C4⋊Q8C2211yescharacteristic, complemented
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic
41C2×#66999C2211yescharacteristic
42C2×#66997C2211yescharacteristic, complemented
43C2×#66997C2211yescharacteristic, complemented
44C2×#66997C2211yescharacteristic, complemented
45C2×#66977C2211yescharacteristic
46#10623260—28no—
47D11×C22⋊Q8—28no—
48C2×#66950C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66949C2211yescharacteristic
51C2×#66949C2211yescharacteristic
52C2×#66949C2211yescharacteristic
53C2×#66949C2211yescharacteristic
54C2×#66945C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×#66943C2211yescharacteristic, complemented
59C2×#66942C2211yescharacteristic, complemented
60C2×#66942C2211yescharacteristic, complemented
61C2×#66941C2211yescharacteristic, complemented
62C2×#66941C2211yescharacteristic, complemented
63C2×#66941C2211yescharacteristic, complemented
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66931C2211yescharacteristic
69C2×#66925C2211yescharacteristic
70C2×#66923C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic
72C11×#398C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#395C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#393C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic
82#10622844C2211yescharacteristic
83#10622843C2211yescharacteristic, complemented
84#10622842C2211yescharacteristic, complemented
85#10622842C2211yescharacteristic, complemented
86#10622825C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622605C2211yescharacteristic
89#10622605C2211yescharacteristic
90#10622603C2211yescharacteristic
91#10622603C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic
104#10622599C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622597C2211yescharacteristic, complemented
109#10622596C2211yescharacteristic, complemented
110#10622594C2211yescharacteristic, complemented
111#10622594C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622593C2211yescharacteristic, complemented
115#10622593C2211yescharacteristic, complemented
116#10622592C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622592C2211yescharacteristic, complemented
120#10622592C2211yescharacteristic, complemented
121#10622592C2211yescharacteristic, complemented
122#10622591C2211yescharacteristic, complemented
123#10622591C2211yescharacteristic, complemented
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622565C2211yescharacteristic
131#10622565C2211yescharacteristic
132#10622562C2211yescharacteristic
133#10622560C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622559C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146#10622546C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622542C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622287C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622286C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622269C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×Q8×D11—24no—
196C2×Q8×D11—42no—
197C2×Q8×D11—42no—
198C22×C4×D11—24no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C4⋊Q8—24no—
215C11×C4⋊Q8—42no—
216C11×C22⋊Q8—24no—
217C11×C22⋊Q8—42no—
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×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#66999—24no—
246#66999—24no—
247#66999—24no—
248#66999—42no—
249#66997—24no—
250#66997—24no—
251#66997—42no—
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
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
281#66977—24no—
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314#66950—24no—
315#66949—24no—
316#66949—24no—
317#66949—24no—
318#66949—24no—
319#66949—42no—
320#66945—24no—
321C4⋊C4×D11—24no—
322C4⋊C4×D11—24no—
323C4⋊C4×D11D418yes—
324#66943—24no—
325#66942—24no—
326#66942—24no—
327#66941—24no—
328#66941—42no—
329#66941—42no—
330C22⋊C4×D11—24no—
331C22⋊C4×D11—24no—
332#66931—24no—
333#66931—24no—
334#66931—42no—
335#66925—24no—
336#66923—24no—
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
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36708—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—41no—
393C23×D11—41no—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C2×Q8×C11—22no—
397C2×Q8×C11—22no—
398C2×Q8×C11—22no—
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×Q8×C11—41no—
403C2×Q8×C11—41no—
404C2×Q8×C11—41no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—41no—
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439Q8×D11—416no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—416no—
462C2×C4×D11C2×D414yes—
463C2×C4×D11C2×D414yes—
464C2×C4×D11C2×D414yes—
465C2×Dic22—22no—
466C2×Dic22—22no—
467C2×Dic22—22no—
468C2×Dic22—22no—
469C2×Dic22—22no—
470C2×Dic22—22no—
471C2×Dic22—22no—
472C2×Dic22—22no—
473C2×Dic22—41no—
474C2×Dic22—41no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22—41no—
479C2×Dic22—41no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4C2×D414yes—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C42×C11—22no—
500C42×C11—41no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—41no—
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—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11C2×D414yes—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—22no—
544Dic11⋊C4—22no—
545Dic11⋊C4—22no—
546Dic11⋊C4—22no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4C2×D414yes—
561Dic11⋊C4C2×D414yes—
562C4×Dic11—22no—
563C4×Dic11—22no—
564C4×Dic11—22no—
565C4×Dic11—41no—
566C4×Dic11—41no—
567C4×Dic11—41no—
568C2×#544—111no—
569C22×C22⋊Q8—111no—
570#2848—111no—
571#2848—111no—
572#2690—111no—
573#2690—111no—
574#2690—111no—
575#2690—111no—
576#2690—111no—
577#2690—111no—
578#2690—111no—
579#2690—111no—
580#2677—111no—
581#2677—111no—
582#2677—111no—
583#2677—111no—
584#2677—111no—
585#2677—111no—
586#2677—111no—
587#2677D1111yescharacteristic, complemented
588#2627—111no—
589#2627—111no—
590#2561—111no—
591#2561—111no—
592#2484—111no—
593#2484—111no—
594#2482—111no—
595#2482—111no—
596#2434—111no—
597#2434—111no—
598#2313—111no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C112−1+412yes—
606C23×C11C2511yescharacteristic
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—28no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—44no—
619C22×D11—44no—
620C22×D11—44no—
621C22×D11—44no—
622C22×D11—44no—
623C22×D11—44no—
624C22×D11C22×D412yes—
625C22×D112−1+412yes—
626C22×D112−1+412yes—
627C22×D112−1+412yes—
628Q8×C11—44no—
629Q8×C11—82no—
630Q8×C11—82no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—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—21no—
668C2×C4×C11—21no—
669C2×C4×C11—44no—
670C2×C4×C11C22×D412yes—
671C2×C4×C11C22×D412yes—
672C2×C4×C11C22×D412yes—
673C2×C4×C11H(5,𝔽2)12yes—
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×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—44no—
713C2×Dic11C22×D412yes—
714C2×Dic11C22×D412yes—
715C2×Dic11C22×D412yes—
716C2×Dic11H(5,𝔽2)12yes—
717C4×D11—28no—
718C4×D11—28no—
719C4×D11—44no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725Dic22—44no—
726Dic22—44no—
727Dic22—44no—
728Dic22—82no—
729Dic22—82no—
730C23×Q8—111no—
731C24×C4—111no—
732#544—228no—
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⋊Q8C2×D1111yescharacteristic, complemented
740C2×C4⋊Q8C2×D1111yescharacteristic, complemented
741C2×#125—111no—
742C2×#125—111no—
743C2×#125—111no—
744C2×#125—111no—
745C2×C22⋊Q8—111no—
746C2×C22⋊Q8—111no—
747C2×C22⋊Q8—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8—111no—
750C2×C22⋊Q8—111no—
751C2×C22⋊Q8—111no—
752C2×C22⋊Q8—111no—
753C2×C22⋊Q8—111no—
754C2×C22⋊Q8—111no—
755C2×C22⋊Q8—111no—
756C2×C22⋊Q8—111no—
757C2×C22⋊Q8—111no—
758C2×C22⋊Q8—111no—
759C2×C22⋊Q8—228no—
760C2×C22⋊Q8C2×D1111yescharacteristic
761C2×C22⋊Q8C2×D1111yescharacteristic
762C2×#117—111no—
763C2×#117—111no—
764C22×C4⋊C4—111no—
765C22×C4⋊C4—111no—
766C22×C4⋊C4—111no—
767C22×C22⋊C4—111no—
768C22×C22⋊C4—111no—
769#400—111no—
770#400—111no—
771#400—111no—
772#400—111no—
773#400—111no—
774#400—111no—
775#400—111no—
776#400—111no—
777#399—111no—
778#399—111no—
779#399—111no—
780#399C2×D1111yescharacteristic
781#398—111no—
782#398—111no—
783#398—111no—
784#398—111no—
785#398—111no—
786#398—111no—
787#398—111no—
788#398—111no—
789#398—111no—
790#398—111no—
791#398C2×D1111yescharacteristic, complemented
792#398C2×D1111yescharacteristic, complemented
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397—111no—
801#395—111no—
802#395—111no—
803#395—111no—
804#395—111no—
805#395—111no—
806#395—111no—
807#395—111no—
808#395—111no—
809#395—111no—
810#395—111no—
811#395C2×D1111yescharacteristic, complemented
812#395C2×D1111yescharacteristic, complemented
813#393—111no—
814#393—111no—
815#393—111no—
816#393C2×D1111yescharacteristic
817#391—111no—
818#391—111no—
819#391—111no—
820#391—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388C2×D1111yescharacteristic
836#388C2×D1111yescharacteristic
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387C2×D1111yescharacteristic, complemented
852#387C2×D1111yescharacteristic, complemented
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385C2×D1111yescharacteristic
869#381—111no—
870#381—111no—
871#381—111no—
872#381—111no—
873#381—111no—
874#381—111no—
875#380—111no—
876#380—111no—
877#380—111no—
878#380—111no—
879#380—111no—
880#380—111no—
881#379—111no—
882#379—111no—
883#379—111no—
884#379—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11C23×D411yescharacteristic
895C22×C11C2×H(5,𝔽2)11yescharacteristic
896C22×C11C2×H(5,𝔽2)11yescharacteristic
897C22×C11C2×2−1+411yescharacteristic
898C22×C11C2×2−1+411yescharacteristic
899C22×C11C2×2−1+411yescharacteristic
900C22×C11C2×2−1+411yescharacteristic
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—416no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11#53614yes—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930Dic11—22no—
931Dic11—22no—
932Dic11—22no—
933Dic11—22no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944C25—111no—
945C22×Q8—111no—
946C22×Q8—111no—
947C22×Q8—111no—
948C22×Q8—111no—
949C22×Q8—111no—
950C22×Q8—224no—
951C22×Q8—442no—
952C22×Q8—442no—
953C22×Q8C22×D1111yescharacteristic
954C22×Q8C22×D1111yescharacteristic
955C22×Q8C22×D1111yescharacteristic
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—224no—
966C23×C4—442no—
967C23×C4—442no—
968C23×C4C22×D1111yescharacteristic
969C4⋊Q8—24no—
970C4⋊Q8—42no—
971C4⋊Q8—224no—
972C4⋊Q8—224no—
973C4⋊Q8—224no—
974C4⋊Q8—442no—
975C4⋊Q8—442no—
976C4⋊Q8—442no—
977#125—224no—
978#125—224no—
979#125—224no—
980#125—224no—
981C22⋊Q8—24no—
982C22⋊Q8—42no—
983C22⋊Q8—224no—
984C22⋊Q8—224no—
985C22⋊Q8—224no—
986C22⋊Q8—224no—
987C22⋊Q8—224no—
988C22⋊Q8—224no—
989C22⋊Q8—224no—
990C22⋊Q8—224no—
991C22⋊Q8—224no—
992C22⋊Q8—224no—
993C22⋊Q8—224no—
994C22⋊Q8—442no—
995C22⋊Q8—442no—
996C22⋊Q8—442no—
997#117—224no—
998#117—224no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—118no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—224no—
1036C2×C4⋊C4—224no—
1037C2×C4⋊C4C22×D1111yescharacteristic
1038C2×C4⋊C4C22×D1111yescharacteristic
1039C2×C4⋊C4C22×D1111yescharacteristic
1040C2×C4⋊C4C22×D1111yescharacteristic
1041C2×C4⋊C4C22×D1111yescharacteristic
1042C2×C4⋊C4C22×D1111yescharacteristic
1043C2×C4⋊C4C22×D1111yescharacteristic
1044C2×C4⋊C4C22×D1111yescharacteristic
1045C2×C4⋊C4C22×D1111yescharacteristic
1046C2×C4⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—224no—
1077C2×C22⋊C4—224no—
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
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#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140C2×C11—42no—
1141C2×C11C2×#53611yescharacteristic
1142C2×C11#348411yescharacteristic
1143C2×C11#348611yescharacteristic
1144C2×C11#353811yescharacteristic
1145C2×C11#353811yescharacteristic
1146C2×C11#353811yescharacteristic
1147C2×C11#353811yescharacteristic
1148D11—24no—
1149D11—42no—
1150C24—111no—
1151C24—111no—
1152C24—222no—
1153C24—222no—
1154C24—222no—
1155C24—222no—
1156C24—222no—
1157C24—441no—
1158C24—441no—
1159C24C23×D1111yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—41no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8—222no—
1170C2×Q8—222no—
1171C2×Q8—222no—
1172C2×Q8—222no—
1173C2×Q8—222no—
1174C2×Q8—222no—
1175C2×Q8—222no—
1176C2×Q8—222no—
1177C2×Q8—441no—
1178C2×Q8—441no—
1179C2×Q8—441no—
1180C2×Q8—441no—
1181C2×Q8—441no—
1182C2×Q8—441no—
1183C2×Q8—441no—
1184C2×Q8—4416no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—111no—
1189C22×C4—111no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—114no—
1193C22×C4—114no—
1194C22×C4—114no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—222no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—4416no—
1229C22×C4—441no—
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C22×C4C23×D1111yescharacteristic
1233C22×C4C23×D1111yescharacteristic
1234C22×C4C23×D1111yescharacteristic
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—114no—
1257C4⋊C4—114no—
1258C4⋊C4—114no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—222no—
1277C4⋊C4—222no—
1278C4⋊C4—222no—
1279C4⋊C4—222no—
1280C4⋊C4—222no—
1281C4⋊C4—222no—
1282C4⋊C4—222no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4D4×D1114yes—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
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—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—222no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C42—22no—
1325C42—41no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—441no—
1330C42—441no—
1331C42—441no—
1332C11#3670811yescharacteristic, complemented, Sylow
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—112no—
1340C23—112no—
1341C23—112no—
1342C23—112no—
1343C23—228no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—444no—
1355C23—444no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23#6704012yes—
1361C23C24×D1111yescharacteristic
1362Q8—44no—
1363Q8—82no—
1364Q8—82no—
1365Q8—444no—
1366Q8—444no—
1367Q8—444no—
1368Q8—882no—
1369Q8—882no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—44no—
1409C2×C4—112no—
1410C2×C4—112no—
1411C2×C4—112no—
1412C2×C4—112no—
1413C2×C4—228no—
1414C2×C4—228no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4—444no—
1457C2×C4—444no—
1458C2×C4—444no—
1459C2×C4—444no—
1460C2×C4C2×D4×D1112yes—
1461C2×C4C2×D4×D1112yes—
1462C2×C4C2×D4×D1112yes—
1463C2×C4#6703712yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—114no—
1472C22—222no—
1473C22—222no—
1474C22—222no—
1475C22—222no—
1476C22—222no—
1477C22—222no—
1478C22—222no—
1479C22—222no—
1480C22—222no—
1481C22—4416no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22C22×D4×D1111yescharacteristic
1487C22C2×#6703711yescharacteristic
1488C22C2×#6704011yescharacteristic
1489C22D11×H(5,𝔽2)11yescharacteristic
1490C22D11×2−1+411yescharacteristic
1491C22D11×2−1+411yescharacteristic
1492C22D11×2−1+411yescharacteristic
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—222no—
1508C4—222no—
1509C4—222no—
1510C4—222no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C4—441no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C2—42no—
1522C2—224no—
1523C2—442no—
1524C2D11×#53611yescharacteristic
1525C2#1308224411yescharacteristic
1526C2#1308226611yescharacteristic
1527C2#1308285711yescharacteristic
1528C2#1308285811yescharacteristic
1529C2#1308285911yescharacteristic
1530C2#1308286011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2677C2
prime radicalC24×D11C23
hypercenter#2677D11
hypocenterC11#36708
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#10623260C2semidirect
5. #13075088C2semidirect
6. #13075086C2semidirect
7. #13075085C2semidirect
8. #13075083C2semidirect
9. #13075081C2semidirect
10. #13075080C2semidirect
11. #13075079C2semidirect
12. #13075078C2semidirect
13. #13074933C2semidirect
14. #13074932C2semidirect
15. #13074930C2semidirect
16. #13074927C2semidirect
17. #13074926C2semidirect
18. #13074926C2semidirect
19. #13074925C2semidirect
20. #13074434C2semidirect
21. #13074428C2semidirect
24. #13072901C2semidirect
25. #13072898C2semidirect
28. #13072257C2semidirect
29. #13072255C2semidirect
30. #13071215C2semidirect
31. C11×#2677C2semidirect
34. C2×C11×C4⋊Q8C22semidirect
35. C2×C11×C4⋊Q8C22semidirect
42. C2×#66997C22semidirect
43. C2×#66997C22semidirect
44. C2×#66997C22semidirect
58. C2×#66943C22semidirect
59. C2×#66942C22semidirect
60. C2×#66942C22semidirect
61. C2×#66941C22semidirect
62. C2×#66941C22semidirect
63. C2×#66941C22semidirect
70. C2×#66923C22semidirect
72. C11×#398C22semidirect
73. C11×#398C22semidirect
74. C11×#395C22semidirect
75. C11×#395C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
83. #10622843C22semidirect
84. #10622842C22semidirect
85. #10622842C22semidirect
104. #10622599C22semidirect
105. #10622599C22semidirect
106. #10622597C22semidirect
107. #10622597C22semidirect
108. #10622597C22semidirect
109. #10622596C22semidirect
110. #10622594C22semidirect
111. #10622594C22semidirect
112. #10622594C22semidirect
113. #10622593C22semidirect
114. #10622593C22semidirect
115. #10622593C22semidirect
116. #10622592C22semidirect
117. #10622592C22semidirect
118. #10622592C22semidirect
119. #10622592C22semidirect
120. #10622592C22semidirect
121. #10622592C22semidirect
122. #10622591C22semidirect
123. #10622591C22semidirect
146. #10622546C22semidirect
147. #10622546C22semidirect
148. #10622542C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622272C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622270C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622269C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622265C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
587. #2677D11semidirect
739. C2×C4⋊Q8C2×D11semidirect
740. C2×C4⋊Q8C2×D11semidirect
791. #398C2×D11semidirect
792. #398C2×D11semidirect
811. #395C2×D11semidirect
812. #395C2×D11semidirect
851. #387C2×D11semidirect
852. #387C2×D11semidirect
1332. C11#36708semidirect

Maximal subgroups

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

subgroupindex
C2×#106232602
C2×D11×C22⋊Q82
#130769022
#130769002
#130750882
#130750862
#130750852
#130750832
#130750812
#130750802
#130750792
#130750782
#130749332
#130749322
#130749302
#130749272
#130749262
#130749252
#130744342
#130744282
#130737722
#130737702
#130729012
#130728982
#130728912
#130728882
#130722572
#130722552
#130712152
C11×#26772
#3670811