Finite Group Databasebeta

← #14961219

Subgroups — #14961219

Order 2816.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623260C211yesmaximal, characteristic, complemented
2C2×#10623169C211yesmaximal, characteristic
3#13076963C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic
5#13075509C211yesmaximal, characteristic, complemented
6#13075508C211yesmaximal, characteristic, complemented
7#13075487C211yesmaximal, characteristic, complemented
8#13075484C211yesmaximal, characteristic, complemented
9#13075436C211yesmaximal, characteristic, complemented
10#13075435C211yesmaximal, characteristic, complemented
11#13075404C211yesmaximal, characteristic, complemented
12#13075399C211yesmaximal, characteristic, complemented
13#13075140C211yesmaximal, characteristic, complemented
14#13075137C211yesmaximal, characteristic, complemented
15#13075081C211yesmaximal, characteristic, complemented
16#13075078C211yesmaximal, characteristic, complemented
17#13074926C211yesmaximal, characteristic, complemented
18#13074902C211yesmaximal, characteristic, complemented
19#13074893C211yesmaximal, characteristic, complemented
20#13074729C211yesmaximal, characteristic, complemented
21#13074545C211yesmaximal, characteristic
22#13073801C211yesmaximal, characteristic, complemented
23#13073797C211yesmaximal, characteristic, complemented
24#13073061C211yesmaximal, characteristic, complemented
25#13073059C211yesmaximal, characteristic, complemented
26#13073057C211yesmaximal, characteristic, complemented
27#13073053C211yesmaximal, characteristic, complemented
28#13072063C211yesmaximal, characteristic, complemented
29#13072062C211yesmaximal, characteristic, complemented
30D11×#387C211yesmaximal, characteristic, complemented
31C11×#2677C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic
33C2×C11×C4⋊Q8C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66997C2211yescharacteristic
41C2×#66997C2211yescharacteristic
42C2×#66982C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44#10623260—28no—
45#10623169—28no—
46C2×#66951C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66946C2211yescharacteristic
52C2×#66945C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×#66943C2211yescharacteristic
56C2×#66942C2211yescharacteristic
57C2×#66942C2211yescharacteristic
58C2×#66942C2211yescharacteristic
59C2×#66942C2211yescharacteristic
60C2×#66941C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66932C2211yescharacteristic
66C2×#66925C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×#66923C2211yescharacteristic
69C11×#399C2211yescharacteristic
70C11×#398C2211yescharacteristic
71C11×#398C2211yescharacteristic
72C11×#395C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#393C2211yescharacteristic
75C11×#388C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#387C2211yescharacteristic
78C11×#387C2211yescharacteristic
79C11×#385C2211yescharacteristic
80#10622844C2211yescharacteristic
81#10622844C2211yescharacteristic
82#10622843C2211yescharacteristic
83#10622843C2211yescharacteristic
84#10622843C2211yescharacteristic
85#10622842C2211yescharacteristic
86#10622825C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622606C2211yescharacteristic
91#10622605C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622602C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622600C2211yescharacteristic
99#10622600C2211yescharacteristic
100#10622600C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622599C2211yescharacteristic
104#10622599C2211yescharacteristic
105#10622598C2211yescharacteristic
106#10622597C2211yescharacteristic
107#10622597C2211yescharacteristic
108#10622596C2211yescharacteristic
109#10622595C2211yescharacteristic
110#10622594C2211yescharacteristic
111#10622594C2211yescharacteristic
112#10622594C2211yescharacteristic
113#10622593C2211yescharacteristic
114#10622593C2211yescharacteristic
115#10622592C2211yescharacteristic
116#10622592C2211yescharacteristic
117#10622592C2211yescharacteristic
118#10622591C2211yescharacteristic
119#10622591C2211yescharacteristic
120#10622591C2211yescharacteristic
121#10622586C2211yescharacteristic
122#10622586C2211yescharacteristic
123#10622586C2211yescharacteristic
124#10622586C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622566C2211yescharacteristic
133#10622566C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622562C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622560C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622548C2211yescharacteristic
147#10622546C2211yescharacteristic
148#10622546C2211yescharacteristic
149#10622290C2211yescharacteristic
150#10622290C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165#10622274C2211yescharacteristic
166#10622274C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622271C2211yescharacteristic
170#10622271C2211yescharacteristic
171#10622271C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622270C2211yescharacteristic
174#10622270C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622265C2211yescharacteristic
185#10622263C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×D44C2311yescharacteristic
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
206C11×C4⋊Q8—24no—
207C11×C4⋊Q8—42no—
208C11×C22⋊Q8—24no—
209C11×C22⋊Q8—42no—
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×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237#66999—24no—
238#66999—24no—
239#66999—24no—
240#66999—24no—
241#66997—24no—
242#66997—24no—
243#66982—24no—
244C4×C22⋊D11—24no—
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×(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×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
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×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×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308#66951—24no—
309#66949—24no—
310#66949—24no—
311#66949—42no—
312#66947—24no—
313#66946—24no—
314#66945—24no—
315C4⋊C4×D11—42no—
316C4⋊C4×D11D418yes—
317#66943—24no—
318#66942—24no—
319#66942—24no—
320#66942—24no—
321#66942—24no—
322#66941—24no—
323#66938—42no—
324#66937—24no—
325#66936—24no—
326#66936—24no—
327#66932—24no—
328#66925—24no—
329C42×D11—42no—
330#66923—24no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36742—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×Q8×C11—22no—
384C2×Q8×C11—22no—
385C2×Q8×C11—22no—
386C2×Q8×C11—41no—
387C2×Q8×C11—41no—
388C2×Q8×C11—41no—
389C2×Q8×C11—41no—
390C2×Q8×C11—41no—
391C2×Q8×C11—41no—
392C22×C4×C11—22no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—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—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11C2×D414yes—
454C2×C4×D11C2×D414yes—
455C2×C4×D11C2×D414yes—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4C2×D414yes—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C42×C11—22no—
482C42×C11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489(C2×D11)⋊C4—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—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—22no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11C2×D414yes—
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⋊C4—41no—
542Dic11⋊C4C2×D414yes—
543Dic11⋊C4C2×D414yes—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C2×#544—111no—
553C2×#539—111no—
554#2857—111no—
555#2850—111no—
556#2721—111no—
557#2721—111no—
558#2719—111no—
559#2719—111no—
560#2716—111no—
561#2716—111no—
562#2713—111no—
563#2713—111no—
564#2694—111no—
565#2694—111no—
566#2690—111no—
567#2690—111no—
568#2677—111no—
569#2677D1111yescharacteristic, complemented
570#2674—111no—
571#2674—111no—
572#2659—111no—
573#2639—111no—
574#2564—111no—
575#2564—111no—
576#2498—111no—
577#2498—111no—
578#2498—111no—
579#2498—111no—
580#2417—111no—
581#2417—111no—
582C2×#387—111no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11C2511yescharacteristic
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11C22×D412yes—
603C22×D112−1+412yes—
604C22×D112−1+412yes—
605Q8×C11—82no—
606Q8×C11—82no—
607Q8×C11—82no—
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×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—82no—
646C2×C4×C11C22×D412yes—
647C2×C4×C11C22×D412yes—
648C2×C4×C11C22×D412yes—
649C2×C4×C11H(5,𝔽2)12yes—
650C2×C4×C112−1+412yes—
651C22⋊D11—44no—
652C22⋊D11—82no—
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×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×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11C22×D412yes—
693C2×Dic11C22×D412yes—
694C2×Dic11C22×D412yes—
695D44—44no—
696C4×D11—28no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—82no—
702C4×D11—82no—
703C4×D11—82no—
704Dic22—82no—
705Dic22—82no—
706#544—228no—
707#539—228no—
708C2×C4⋊Q8—111no—
709C2×C4⋊Q8—111no—
710C2×C4⋊Q8—111no—
711C2×C4⋊Q8C2×D1111yescharacteristic
712C2×C4⋊Q8C2×D1111yescharacteristic
713C2×#126—111no—
714C2×#126—111no—
715C2×#125—111no—
716C2×#125—111no—
717C2×#125—111no—
718C2×#125—111no—
719C2×#125—111no—
720C2×#125—111no—
721C2×#124—111no—
722C2×#123—111no—
723C2×#123—111no—
724C2×#123—111no—
725C2×#123—111no—
726C2×C22⋊Q8—111no—
727C2×C22⋊Q8—111no—
728C2×C22⋊Q8—111no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×C22⋊Q8—111no—
732C2×C22⋊Q8—111no—
733C2×C22⋊Q8C2×D1111yescharacteristic
734C2×C22⋊Q8C2×D1111yescharacteristic
735C2×#121—111no—
736C2×C4×D4—111no—
737C2×C4×D4—111no—
738C2×#117—111no—
739C2×#117—111no—
740C22×C4⋊C4—111no—
741C22×C4⋊C4—111no—
742C22×C42—111no—
743#400—111no—
744#400—111no—
745#400—111no—
746#400—111no—
747#400—111no—
748#400—111no—
749#400—111no—
750#400—111no—
751#399—111no—
752#399—111no—
753#399—111no—
754#399—111no—
755#399—111no—
756#399C2×D1111yescharacteristic
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#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#396—111no—
776#396—111no—
777#396—111no—
778#396—111no—
779#395—111no—
780#395—111no—
781#395—111no—
782#395—111no—
783#395C2×D1111yescharacteristic
784#395C2×D1111yescharacteristic
785#394—111no—
786#394—111no—
787#393—111no—
788#393—111no—
789#393—111no—
790#393C2×D1111yescharacteristic
791#391—111no—
792#391—111no—
793#391—111no—
794#391—111no—
795#391—111no—
796#390—111no—
797#389—111no—
798#389—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#389—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388C2×D1111yescharacteristic
814#388C2×D1111yescharacteristic
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#387—111no—
833#387C2×D1111yescharacteristic
834#387C2×D1111yescharacteristic
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385C2×D1111yescharacteristic
847#384—111no—
848#382—111no—
849#380—111no—
850#380—111no—
851#380—111no—
852#380—111no—
853#380—111no—
854#380—111no—
855#380—111no—
856#380—111no—
857#380—111no—
858#380—111no—
859C2×#95—111no—
860C2×#95—111no—
861C2×#95—111no—
862C2×#95—111no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11C23×D411yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×2−1+411yescharacteristic
873C22×C11C2×2−1+411yescharacteristic
874C22×C11C2×2−1+411yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11#53614yes—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905Dic11—22no—
906Dic11—22no—
907Dic11—22no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919C22×Q8—111no—
920C22×Q8—111no—
921C22×Q8C22×D1111yescharacteristic
922C22×Q8C22×D1111yescharacteristic
923C22×Q8C22×D1111yescharacteristic
924C22×D4—111no—
925C22×D4—111no—
926C22×D4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4C22×D1111yescharacteristic
936C4⋊Q8—24no—
937C4⋊Q8—42no—
938C4⋊Q8—224no—
939C4⋊Q8—224no—
940C4⋊Q8—224no—
941#126—224no—
942#126—224no—
943#125—224no—
944#125—224no—
945#125—224no—
946#125—224no—
947#125—224no—
948#125—224no—
949#124—442no—
950#123—224no—
951#123—224no—
952#123—224no—
953#123—224no—
954C22⋊Q8—24no—
955C22⋊Q8—42no—
956C22⋊Q8—224no—
957C22⋊Q8—224no—
958C22⋊Q8—224no—
959C22⋊Q8—224no—
960C22⋊Q8—224no—
961C22⋊Q8—224no—
962C22⋊Q8—442no—
963#121—224no—
964C4×D4—224no—
965C4×D4—224no—
966#117—224no—
967#117—224no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—118no—
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—442no—
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
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×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
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—442no—
1059C2×C42C22×D1111yescharacteristic
1060C2×C42C22×D1111yescharacteristic
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#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#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109C2×C11—81no—
1110C2×C11C2×#53611yescharacteristic
1111C2×C11#349611yescharacteristic
1112C2×C11#349711yescharacteristic
1113C2×C11#353511yescharacteristic
1114C2×C11#353811yescharacteristic
1115C2×C11#356311yescharacteristic
1116C2×C11#356411yescharacteristic
1117D11—24no—
1118D11—81no—
1119C24—111no—
1120C24—111no—
1121C24C23×D1111yescharacteristic
1122C2×Q8—22no—
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—41no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×Q8—41no—
1131C2×Q8—222no—
1132C2×Q8—222no—
1133C2×Q8—441no—
1134C2×Q8—441no—
1135C2×Q8—441no—
1136C2×Q8—441no—
1137C2×D4—222no—
1138C2×D4—222no—
1139C2×D4—222no—
1140C2×D4—222no—
1141C2×D4—222no—
1142C2×D4—222no—
1143C2×D4—222no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—114no—
1153C22×C4—114no—
1154C22×C4—114no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—114no—
1214C4⋊C4—114no—
1215C4⋊C4—114no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
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—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4D4×D1114yes—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
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—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C42—22no—
1282C42—22no—
1283C42—222no—
1284C42—222no—
1285C42—222no—
1286C42—222no—
1287C42—222no—
1288C42—222no—
1289C42—441no—
1290C42—441no—
1291C11#3674211yescharacteristic, complemented, Sylow
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—112no—
1300C23—112no—
1301C23—112no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23C24×D1111yescharacteristic
1314Q8—82no—
1315Q8—82no—
1316Q8—82no—
1317Q8—882no—
1318Q8—882no—
1319D4—444no—
1320D4—444no—
1321D4—882no—
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—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—82no—
1360C2×C4—112no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—228no—
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—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
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—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—444no—
1407C2×C4—882no—
1408C2×C4—882no—
1409C2×C4—882no—
1410C2×C4C2×D4×D1112yes—
1411C2×C4C2×D4×D1112yes—
1412C2×C4C2×D4×D1112yes—
1413C2×C4#6703712yes—
1414C2×C4#6704012yes—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—114no—
1423C22—222no—
1424C22—222no—
1425C22—222no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—441no—
1430C22—441no—
1431C22—441no—
1432C22—441no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22C22×D4×D1111yescharacteristic
1437C22C2×#6703711yescharacteristic
1438C22C2×#6704011yescharacteristic
1439C22#1062345511yescharacteristic
1440C22D11×2−1+411yescharacteristic
1441C22D11×2−1+411yescharacteristic
1442C22#1062345711yescharacteristic
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—222no—
1458C4—222no—
1459C4—222no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C4—441no—
1464C4—441no—
1465C4—441no—
1466C4—441no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C2—81no—
1472C2—224no—
1473C2—881no—
1474C2D11×#53611yescharacteristic
1475C2#1308237211yescharacteristic
1476C2#1308238611yescharacteristic
1477C2#1308281511yescharacteristic
1478C2#1308285711yescharacteristic
1479C2#1308321811yescharacteristic
1480C2#1308323111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2677C2
prime radicalC2×#66937C22
hypercenter#2677D11
hypocenterC11#36742
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2677

Complements

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

NH ≅ G/Ntype
1. C2×#10623260C2semidirect
3. #13076963C2semidirect
5. #13075509C2semidirect
6. #13075508C2semidirect
7. #13075487C2semidirect
8. #13075484C2semidirect
9. #13075436C2semidirect
10. #13075435C2semidirect
11. #13075404C2semidirect
12. #13075399C2semidirect
13. #13075140C2semidirect
14. #13075137C2semidirect
15. #13075081C2semidirect
16. #13075078C2semidirect
17. #13074926C2semidirect
18. #13074902C2semidirect
19. #13074893C2semidirect
20. #13074729C2semidirect
22. #13073801C2semidirect
23. #13073797C2semidirect
24. #13073061C2semidirect
25. #13073059C2semidirect
26. #13073057C2semidirect
27. #13073053C2semidirect
28. #13072063C2semidirect
29. #13072062C2semidirect
30. D11×#387C2semidirect
31. C11×#2677C2semidirect
569. #2677D11semidirect
1291. C11#36742semidirect

Maximal subgroups

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

subgroupindex
C2×#106232602
C2×#106231692
#130769632
#130769142
#130755092
#130755082
#130754872
#130754842
#130754362
#130754352
#130754042
#130753992
#130751402
#130751372
#130750812
#130750782
#130749262
#130749022
#130748932
#130747292
#130745452
#130738012
#130737972
#130730612
#130730592
#130730572
#130730532
#130720632
#130720622
D11×#3872
C11×#26772
#3674211