Finite Group Databasebeta

← #14926874

Subgroups — #14926874

Order 2816.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076996C211yesmaximal, characteristic, complemented
2#13076992C211yesmaximal, characteristic, complemented
3#13076966C211yesmaximal, characteristic, complemented
4#13076953C211yesmaximal, characteristic, complemented
5#13074799C211yesmaximal, characteristic, complemented
6#13074797C211yesmaximal, characteristic, complemented
7#13074789C211yesmaximal, characteristic, complemented
8#13074788C211yesmaximal, characteristic, complemented
9#13074026C211yesmaximal, characteristic, complemented
10#13074024C211yesmaximal, characteristic, complemented
11#13073897C211yesmaximal, characteristic, complemented
12#13073889C211yesmaximal, characteristic, complemented
13#13073190C211yesmaximal, characteristic, complemented
14#13073123C211yesmaximal, characteristic, complemented
15#13073121C211yesmaximal, characteristic, complemented
16#13072987C211yesmaximal, characteristic, complemented
17#13072446C211yesmaximal, characteristic
18#13072444C211yesmaximal, characteristic
19#13072391C211yesmaximal, characteristic, complemented
20#13072317C211yesmaximal, characteristic, complemented
21#13072258C211yesmaximal, characteristic, complemented
22#13072212C211yesmaximal, characteristic, complemented
23#13072064C211yesmaximal, characteristic
24#13071978C211yesmaximal, characteristic
25#13071349C211yesmaximal, characteristic, complemented
26#13071344C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic
28C4×#66931C211yesmaximal, characteristic, complemented
29C2×#10622259C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic
31C11×#2318C211yesmaximal, characteristic
32C23×Dic22C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×D4×Dic11C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×#66977C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66941C2211yescharacteristic
42C2×#66941C2211yescharacteristic
43C2×#66931C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C2×#66931C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C2×#66931C2211yescharacteristic
48C2×C4×Dic22C2211yescharacteristic
49C11×#388C2211yescharacteristic
50C11×#388C2211yescharacteristic
51C11×#387C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#383C2211yescharacteristic
58C11×#382C2211yescharacteristic
59C11×#381C2211yescharacteristic
60C11×#380C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62C2×C11×#95C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622825C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622824C2211yescharacteristic
68#10622823C2211yescharacteristic
69#10622823C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74C2×C11⋊#95C2211yescharacteristic
75C2×C11⋊#95C2211yescharacteristic
76#10622599C2211yescharacteristic
77#10622599C2211yescharacteristic
78#10622599C2211yescharacteristic
79#10622598C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622597C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622592C2211yescharacteristic
85#10622592C2211yescharacteristic
86#10622592C2211yescharacteristic
87#10622590C2211yescharacteristic
88#10622590C2211yescharacteristic
89#10622589C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622564C2211yescharacteristic
94#10622564C2211yescharacteristic
95#10622563C2211yescharacteristic
96#10622563C2211yescharacteristic
97#10622563C2211yescharacteristic
98#10622563C2211yescharacteristic
99#10622563C2211yescharacteristic
100#10622561C2211yescharacteristic
101#10622561C2211yescharacteristic
102#10622561C2211yescharacteristic
103#10622561C2211yescharacteristic
104#10622560C2211yescharacteristic
105#10622560C2211yescharacteristic
106#10622560C2211yescharacteristic
107#10622560C2211yescharacteristic
108#10622559C2211yescharacteristic
109#10622559C2211yescharacteristic
110#10622559C2211yescharacteristic
111#10622555C2211yescharacteristic
112#10622555C2211yescharacteristic
113#10622555C2211yescharacteristic
114#10622555C2211yescharacteristic
115#10622555C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120#10622550C2211yescharacteristic
121#10622549C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic
123C4×C4⋊Dic11C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126C4×Dic11⋊C4C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129#10622542C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622274C2211yescharacteristic
132#10622274C2211yescharacteristic
133#10622274C2211yescharacteristic
134#10622273C2211yescharacteristic
135#10622273C2211yescharacteristic
136#10622273C2211yescharacteristic
137#10622273C2211yescharacteristic
138#10622273C2211yescharacteristic
139#10622270C2211yescharacteristic
140#10622270C2211yescharacteristic
141#10622270C2211yescharacteristic
142#10622269C2211yescharacteristic
143#10622269C2211yescharacteristic
144#10622269C2211yescharacteristic
145#10622269C2211yescharacteristic
146#10622269C2211yescharacteristic
147#10622268C2211yescharacteristic
148#10622268C2211yescharacteristic
149#10622268C2211yescharacteristic
150#10622268C2211yescharacteristic
151#10622268C2211yescharacteristic
152#10622268C2211yescharacteristic
153#10622268C2211yescharacteristic
154#10622267C2211yescharacteristic
155#10622267C2211yescharacteristic
156#10622267C2211yescharacteristic
157#10622267C2211yescharacteristic
158#10622267C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622260C2211yescharacteristic
162#10622260C2211yescharacteristic
163#10622260C2211yescharacteristic
164#10622260C2211yescharacteristic
165#10622260C2211yescharacteristic
166#10622260C2211yescharacteristic
167#10622260C2211yescharacteristic
168#10622259C2211yescharacteristic
169#10622259C2211yescharacteristic
170#10622259C2211yescharacteristic
171#10622259C2211yescharacteristic
172#10622259C2211yescharacteristic
173#10622259C2211yescharacteristic
174#10622259C2211yescharacteristic
175#10622259C2211yescharacteristic
176#10622259C2211yescharacteristic
177#10622259C2211yescharacteristic
178#10622259C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C22×Dic22—24no—
199C22×Dic22—42no—
200C22×Dic22—42no—
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C4×D4×C11Q818yescomplemented
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235D4×Dic11—24no—
236D4×Dic11—24no—
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×C4⋊Dic11C2311yescharacteristic
240C2×C4⋊Dic11C2311yescharacteristic
241C2×C4⋊Dic11C2311yescharacteristic
242C2×C4⋊Dic11C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252#66977—24no—
253C2×Dic11⋊C4—42no—
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
277C2×C4×Dic11—42no—
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292#66941—42no—
293#66941—42no—
294#66941—42no—
295#66931—24no—
296#66931—24no—
297#66931—42no—
298#66931—42no—
299#66931—42no—
300C4×Dic22—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361#35016—111nomaximal, Sylow
362C24×C11C2411yescharacteristic
363C24×C11C2411yescharacteristic
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11C2×Q814yes—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—41no—
370C22×C4×C11—41no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11C2×Q814yes—
378C22×C4×C11C2×Q814yescomplemented
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11#4114yes—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×Dic22—22no—
427C2×Dic22—22no—
428C2×Dic22—22no—
429C2×Dic22—22no—
430C2×Dic22—22no—
431C2×Dic22—22no—
432C2×Dic22—22no—
433C2×Dic22—22no—
434C2×Dic22—22no—
435C2×Dic22—22no—
436C2×Dic22—22no—
437C2×Dic22—22no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C2×Dic22—41no—
445C2×Dic22—41no—
446C2×Dic22—41no—
447C2×Dic22—416no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4C2×Q814yescomplemented
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4C2×Q814yes—
460C11×C22⋊C4C2×Q814yescomplemented
461C42×C11—41no—
462C42×C11—41no—
463C42×C11C2×Q814yescomplemented
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11#4114yes—
474C4⋊Dic11—22no—
475C4⋊Dic11—22no—
476C4⋊Dic11—22no—
477C4⋊Dic11—22no—
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482C4⋊Dic11—41no—
483C4⋊Dic11—41no—
484C4⋊Dic11—41no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525#2863—111no—
526#2862—111no—
527#2857—111no—
528#2855—111no—
529#2666—111no—
530#2666—111no—
531#2665—111no—
532#2665—111no—
533#2586—111no—
534#2586—111no—
535#2574—111no—
536#2574—111no—
537#2511—111no—
538#2505—111no—
539#2505—111no—
540#2492—111no—
541#2450—111no—
542#2450—111no—
543#2446—111no—
544#2440—111no—
545#2434—111no—
546#2429—111no—
547#2417—111no—
548#2409—111no—
549#2329—111no—
550#2329—111no—
551#2318—111no—
552#2318D1111yescharacteristic
553C4×C22⋊Q8—111no—
554C2×#391—111no—
555C42×D4—111no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C22×Q812yes—
567C23×C11C22×Q812yes—
568C23×C11C2×#4112yes—
569C23×C11C2×#4112yes—
570C23×C11C2511yescharacteristic
571D4×C11—28no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—44no—
607C2×C4×C11—44no—
608C2×C4×C11—44no—
609C2×C4×C11—82no—
610C2×C4×C11C22×Q812yes—
611C2×C4×C11C22×Q812yes—
612C2×C4×C11C22×Q812yes—
613C2×C4×C11C22×Q812yes—
614C2×C4×C11C22×Q812yes—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—28no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—44no—
658C2×Dic11—44no—
659C2×Dic11—44no—
660C2×Dic11—44no—
661C2×Dic11—82no—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11H(5,𝔽2)12yes—
667C2×Dic11H(5,𝔽2)12yes—
668C2×Dic112−1+412yes—
669Dic22—44no—
670Dic22—44no—
671Dic22—44no—
672Dic22—44no—
673Dic22—44no—
674Dic22—82no—
675Dic22—82no—
676C23×Q8—111no—
677C2×C4⋊Q8—111no—
678C2×C4⋊Q8—111no—
679C2×C4⋊Q8—111no—
680C2×C22⋊Q8—111no—
681C2×C22⋊Q8—111no—
682C2×C22⋊Q8—111no—
683C2×C22⋊Q8—111no—
684C2×C22⋊Q8—111no—
685C2×C22⋊Q8—111no—
686C2×C4×Q8—111no—
687C2×C4×D4—111no—
688C2×C4×D4—111no—
689C2×C4×D4C2×D1111yescharacteristic
690C22×C4⋊C4—111no—
691C22×C42—111no—
692C22×C42—111no—
693#400—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#400—111no—
699#400—111no—
700#400—111no—
701#398—111no—
702#398—111no—
703#398—111no—
704#398—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#396—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#395—111no—
714#395—111no—
715#395—111no—
716#395—111no—
717#395—111no—
718#395—111no—
719#395—111no—
720#395—111no—
721#393—111no—
722#393—111no—
723#393—111no—
724#393—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391—111no—
740#391—111no—
741#391—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#388—111no—
756#388—111no—
757#388C2×D1111yescharacteristic
758#388C2×D1111yescharacteristic
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387C2×D1111yescharacteristic
778#387C2×D1111yescharacteristic
779#386—111no—
780#386—111no—
781#386C2×D1111yescharacteristic
782#386C2×D1111yescharacteristic
783#385—111no—
784#385—111no—
785#385—111no—
786#385—111no—
787#385—111no—
788#385—111no—
789#385—111no—
790#385—111no—
791#385—111no—
792#385—111no—
793#385C2×D1111yescharacteristic
794#385C2×D1111yescharacteristic
795#384—111no—
796#383—111no—
797#383C2×D1111yescharacteristic
798#382—111no—
799#382—111no—
800#382—111no—
801#382C2×D1111yescharacteristic
802#381—111no—
803#381C2×D1111yescharacteristic
804#380—111no—
805#380—111no—
806#380—111no—
807#380—111no—
808#380—111no—
809#380—111no—
810#380—111no—
811#380C2×D1111yescharacteristic
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C4⋊C4—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4—111no—
823C4×C22⋊C4—111no—
824C4×C22⋊C4—111no—
825C4×C22⋊C4C2×D1111yescharacteristic
826C2×#95—111no—
827C2×#95—111no—
828C2×#95—111no—
829C2×#95C2×D1111yescharacteristic
830C43—111no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11#53314yes—
845C22×C11C23×Q811yescharacteristic
846C22×C11C22×#4111yescharacteristic
847C22×C11C22×#4111yescharacteristic
848C22×C11C2×H(5,𝔽2)11yescharacteristic
849C22×C11C2×H(5,𝔽2)11yescharacteristic
850C22×C11C2×2−1+411yescharacteristic
851C22×C11#58511yescharacteristic
852C4×C11—22no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—22no—
856C4×C11—22no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865Dic11—22no—
866Dic11—22no—
867Dic11—22no—
868Dic11—22no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11#53814yes—
881C22×Q8—111no—
882C22×Q8—111no—
883C22×Q8—111no—
884C22×Q8—111no—
885C22×Q8—111no—
886C22×Q8—111no—
887C22×Q8—111no—
888C22×Q8—224no—
889C22×Q8—442no—
890C22×Q8—442no—
891C22×D4C22×D1111yescharacteristic
892C23×C4—111no—
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4—111no—
898C23×C4C22×D1111yescharacteristic
899C23×C4C22×D1111yescharacteristic
900C23×C4C22×D1111yescharacteristic
901C23×C4C22×D1111yescharacteristic
902C4⋊Q8—442no—
903C4⋊Q8—442no—
904C4⋊Q8—442no—
905C22⋊Q8—224no—
906C22⋊Q8—224no—
907C22⋊Q8—224no—
908C22⋊Q8—442no—
909C22⋊Q8—442no—
910C22⋊Q8—442no—
911C4×Q8—442no—
912C4×D4—224no—
913C4×D4—224no—
914C4×D4Dic2218yescomplemented
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—442no—
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—442no—
991C2×C42—442no—
992C2×C42C22×D1111yescharacteristic
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055C2×C11—24no—
1056C2×C11—42no—
1057C2×C11C2×#53311yescharacteristic
1058C2×C11C2×#53811yescharacteristic
1059C2×C11#346111yescharacteristic
1060C2×C11#350111yescharacteristic
1061C2×C11#350311yescharacteristic
1062C2×C11#351411yescharacteristic
1063C2×C11#352011yescharacteristic
1064C24C23×D1111yescharacteristic
1065C24C23×D1111yescharacteristic
1066C2×Q8—222no—
1067C2×Q8—222no—
1068C2×Q8—222no—
1069C2×Q8—222no—
1070C2×Q8—222no—
1071C2×Q8—222no—
1072C2×Q8—222no—
1073C2×Q8—222no—
1074C2×Q8—222no—
1075C2×Q8—222no—
1076C2×Q8—222no—
1077C2×Q8—222no—
1078C2×Q8—222no—
1079C2×Q8—441no—
1080C2×Q8—441no—
1081C2×Q8—441no—
1082C2×Q8—441no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×Q8—441no—
1086C2×Q8—441no—
1087C2×Q8—4416no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4C2×Dic2214yes—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—111no—
1102C22×C4—114no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4C2×Dic2214yes—
1136C22×C4C2×Dic2214yescomplemented
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4C2×Dic2214yescomplemented
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—114no—
1199C22⋊C4—222no—
1200C22⋊C4—222no—
1201C22⋊C4—222no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C22⋊C4—441no—
1208C22⋊C4C2×Dic2214yes—
1209C22⋊C4C2×Dic2214yescomplemented
1210C42—41no—
1211C42—41no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—441no—
1220C42—441no—
1221C42—441no—
1222C42—441no—
1223C42—441no—
1224C42—441no—
1225C42—441no—
1226C42C2×Dic2214yescomplemented
1227C11#3501611yescharacteristic, complemented, Sylow
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23C22×Dic2212yes—
1239C23C22×Dic2212yes—
1240C23#41×D1112yes—
1241C23#41×D1112yes—
1242C23C24×D1111yescharacteristic
1243Q8—444no—
1244Q8—444no—
1245Q8—444no—
1246Q8—444no—
1247Q8—444no—
1248Q8—882no—
1249Q8—882no—
1250D4—28no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—44no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—82no—
1289C2×C4—112no—
1290C2×C4—112no—
1291C2×C4—112no—
1292C2×C4—112no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—228no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—444no—
1339C2×C4—444no—
1340C2×C4—444no—
1341C2×C4—444no—
1342C2×C4—882no—
1343C2×C4C22×Dic2212yes—
1344C2×C4C22×Dic2212yes—
1345C2×C4C22×Dic2212yes—
1346C2×C4C22×Dic2212yes—
1347C2×C4C22×Dic2212yes—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22#1062304814yes—
1362C22C23×Dic2211yescharacteristic
1363C22C2×#41×D1111yescharacteristic
1364C22C2×#41×D1111yescharacteristic
1365C22D11×H(5,𝔽2)11yescharacteristic
1366C22D11×H(5,𝔽2)11yescharacteristic
1367C22#1062345511yescharacteristic
1368C22D11×2−1+411yescharacteristic
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—114no—
1383C4—222no—
1384C4—222no—
1385C4—222no—
1386C4—222no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C2—24no—
1399C2—42no—
1400C2C2×#1062304811yescharacteristic
1401C2D11×#53811yescharacteristic
1402C2#1308204611yescharacteristic
1403C2#1308241411yescharacteristic
1404C2#1308242911yescharacteristic
1405C2#1308256911yescharacteristic
1406C2#1308265711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2318C2
prime radicalC22×D4×C11C23
hypercenter#2318D11
hypocenterC11#35016
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. #13076996C2semidirect
2. #13076992C2semidirect
3. #13076966C2semidirect
4. #13076953C2semidirect
5. #13074799C2semidirect
6. #13074797C2semidirect
7. #13074789C2semidirect
8. #13074788C2semidirect
9. #13074026C2semidirect
10. #13074024C2semidirect
11. #13073897C2semidirect
12. #13073889C2semidirect
13. #13073190C2semidirect
14. #13073123C2semidirect
15. #13073121C2semidirect
16. #13072987C2semidirect
19. #13072391C2semidirect
20. #13072317C2semidirect
21. #13072258C2semidirect
22. #13072212C2semidirect
25. #13071349C2semidirect
26. #13071344C2semidirect
28. C4×#66931C2semidirect
29. C2×#10622259C2semidirect
208. C4×D4×C11Q8semidirect
378. C22×C4×C11C2×Q8semidirect
452. C11×C4⋊C4C2×Q8semidirect
460. C11×C22⋊C4C2×Q8semidirect
463. C42×C11C2×Q8semidirect
914. C4×D4Dic22semidirect
1136. C22×C4C2×Dic22semidirect
1191. C4⋊C4C2×Dic22semidirect
1209. C22⋊C4C2×Dic22semidirect
1226. C42C2×Dic22semidirect
1227. C11#35016semidirect

Maximal subgroups

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

subgroupindex
#130769962
#130769922
#130769662
#130769532
#130747992
#130747972
#130747892
#130747882
#130740262
#130740242
#130738972
#130738892
#130731902
#130731232
#130731212
#130729872
#130724462
#130724442
#130723912
#130723172
#130722582
#130722122
#130720642
#130719782
#130713492
#130713442
#130712492
C4×#669312
C2×#106222592
C4×D4×Dic112
C11×#23182
#3501611