Finite Group Databasebeta

← #14960390

Subgroups — #14960390

Order 2816.

1536 conjugacy classes of subgroups.

The subgroup lattice has 1362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076867C211yesmaximal, characteristic, complemented
2#13076861C211yesmaximal, characteristic, complemented
3#13076852C211yesmaximal, characteristic, complemented
4#13076850C211yesmaximal, characteristic, complemented
5#13076850C211yesmaximal, characteristic, complemented
6#13076848C211yesmaximal, characteristic, complemented
7#13076833C211yesmaximal, characteristic, complemented
8#13076831C211yesmaximal, characteristic, complemented
9#13076784C211yesmaximal, characteristic, complemented
10#13076782C211yesmaximal, characteristic, complemented
11#13076771C211yesmaximal, characteristic, complemented
12#13076765C211yesmaximal, characteristic, complemented
13#13076761C211yesmaximal, characteristic, complemented
14#13076760C211yesmaximal, characteristic, complemented
15#13076743C211yesmaximal, characteristic
16#13076741C211yesmaximal, characteristic
17#13071916C211yesmaximal, characteristic, complemented
18#13071914C211yesmaximal, characteristic, complemented
19#13071907C211yesmaximal, characteristic, complemented
20#13071903C211yesmaximal, characteristic, complemented
21#13071903C211yesmaximal, characteristic, complemented
22#13071890C211yesmaximal, characteristic, complemented
23#13071890C211yesmaximal, characteristic, complemented
24#13071886C211yesmaximal, characteristic, complemented
25#13071877C211yesmaximal, characteristic, complemented
26#13071875C211yesmaximal, characteristic, complemented
27#13071858C211yesmaximal, characteristic
28#13071112C211yesmaximal, characteristic, complemented
29#13071088C211yesmaximal, characteristic, complemented
30#13071079C211yesmaximal, characteristic, complemented
31C11×#2398C211yesmaximal, characteristic, complemented
32C2×C4×Q8×C11C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66979C2211yescharacteristic
37C2×#66979C2211yescharacteristic
38C2×#66925C2211yescharacteristic
39C2×C4×Dic22C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#397C2211yescharacteristic
44C11×#397C2211yescharacteristic
45C11×#394C2211yescharacteristic
46C11×#394C2211yescharacteristic
47C11×#393C2211yescharacteristic
48C11×#393C2211yescharacteristic
49C4×C11×C22⋊C4C2211yescharacteristic
50C4×C11×C22⋊C4C2211yescharacteristic
51C4×C11×C22⋊C4C2211yescharacteristic
52C4×C11×C22⋊C4C2211yescharacteristic
53C11×#376C2211yescharacteristic
54#10622844C2211yescharacteristic
55#10622842C2211yescharacteristic
56#10622842C2211yescharacteristic
57#10622842C2211yescharacteristic
58#10622836C2211yescharacteristic
59#10622835C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622835C2211yescharacteristic
62C4×C22⋊Dic11C2211yescharacteristic
63C4×C22⋊Dic11C2211yescharacteristic
64C4×C22⋊Dic11C2211yescharacteristic
65C4×C22⋊Dic11C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622599C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622595C2211yescharacteristic
78#10622593C2211yescharacteristic
79#10622593C2211yescharacteristic
80#10622592C2211yescharacteristic
81#10622592C2211yescharacteristic
82#10622574C2211yescharacteristic
83#10622574C2211yescharacteristic
84#10622574C2211yescharacteristic
85#10622574C2211yescharacteristic
86#10622572C2211yescharacteristic
87#10622572C2211yescharacteristic
88#10622572C2211yescharacteristic
89#10622572C2211yescharacteristic
90#10622570C2211yescharacteristic
91#10622570C2211yescharacteristic
92#10622566C2211yescharacteristic
93#10622566C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622565C2211yescharacteristic
96#10622565C2211yescharacteristic
97#10622565C2211yescharacteristic
98#10622565C2211yescharacteristic
99#10622565C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622562C2211yescharacteristic
103#10622562C2211yescharacteristic
104#10622562C2211yescharacteristic
105#10622562C2211yescharacteristic
106#10622561C2211yescharacteristic
107#10622561C2211yescharacteristic
108#10622561C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622560C2211yescharacteristic
113#10622560C2211yescharacteristic
114#10622560C2211yescharacteristic
115#10622560C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622557C2211yescharacteristic
121#10622557C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127C4×C4⋊Dic11C2211yescharacteristic
128#10622545C2211yescharacteristic
129#10622545C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622289C2211yescharacteristic
140#10622288C2211yescharacteristic
141#10622288C2211yescharacteristic
142#10622288C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622288C2211yescharacteristic
146#10622287C2211yescharacteristic
147#10622286C2211yescharacteristic
148#10622286C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151C11⋊#401C2211yescharacteristic
152C11⋊#401C2211yescharacteristic
153#10622274C2211yescharacteristic
154#10622274C2211yescharacteristic
155#10622273C2211yescharacteristic
156#10622273C2211yescharacteristic
157#10622273C2211yescharacteristic
158#10622273C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622272C2211yescharacteristic
161#10622271C2211yescharacteristic
162#10622271C2211yescharacteristic
163#10622271C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622271C2211yescharacteristic
167#10622271C2211yescharacteristic
168#10622270C2211yescharacteristic
169#10622270C2211yescharacteristic
170#10622270C2211yescharacteristic
171#10622269C2211yescharacteristic
172#10622269C2211yescharacteristic
173#10622268C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622267C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C4×Q8×C11—42no—
197C4×D4×C11—42no—
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C22⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4C2311yescharacteristic
204C2×C11×C22⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C4×C22⋊D11—24no—
232C4×C22⋊D11—42no—
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245#66979—24no—
246#66979—42no—
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
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#66925—42no—
293C4×Dic22—24no—
294C4×Dic22—42no—
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
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
351#36693—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C23×D11C2411yescharacteristic
355C2×Q8×C11—41no—
356C2×Q8×C11—41no—
357C2×Q8×C11—41no—
358C2×D4×C11—41no—
359C2×D4×C11—41no—
360C2×D4×C11—41no—
361C22×C4×C11—22no—
362C22×C4×C11—22no—
363C22×C4×C11—22no—
364C22×C4×C11—22no—
365C22×C4×C11—22no—
366C22×C4×C11—22no—
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C2×C22⋊D11—22no—
381C2×C22⋊D11—41no—
382C2×C22⋊D11—41no—
383C2×C22⋊D11—41no—
384C2×C22⋊D11—41no—
385C2×C22⋊D11—41no—
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×Dic22—22no—
405C2×Dic22—41no—
406C2×Dic22—41no—
407C2×Dic22—41no—
408C2×Dic22—41no—
409C2×Dic22—41no—
410C11×C4⋊C4—41no—
411C11×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C22⋊C4—41no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4—41no—
417C11×C22⋊C4—41no—
418C11×C22⋊C4—41no—
419C11×C22⋊C4—41no—
420C11×C22⋊C4—41no—
421C11×C22⋊C4—41no—
422C11×C22⋊C4—41no—
423C11×C22⋊C4—41no—
424C42×C11—22no—
425C42×C11—22no—
426C42×C11—22no—
427C42×C11—22no—
428C42×C11—22no—
429C22⋊Dic11—22no—
430C22⋊Dic11—22no—
431C22⋊Dic11—22no—
432C22⋊Dic11—41no—
433C22⋊Dic11—41no—
434C22⋊Dic11—41no—
435C22⋊Dic11—41no—
436C22⋊Dic11—41no—
437C22⋊Dic11—41no—
438C22⋊Dic11—41no—
439C22⋊Dic11—41no—
440C22⋊Dic11—41no—
441C22⋊Dic11—41no—
442C22⋊Dic11—41no—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447(C2×D11)⋊C4—41no—
448(C2×D11)⋊C4—41no—
449(C2×D11)⋊C4—41no—
450(C2×D11)⋊C4—41no—
451(C2×D11)⋊C4—41no—
452(C2×D11)⋊C4—41no—
453(C2×D11)⋊C4—41no—
454(C2×D11)⋊C4—41no—
455C4⋊Dic11—22no—
456C4⋊Dic11—22no—
457C4⋊Dic11—22no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460C4⋊Dic11—41no—
461C4⋊Dic11—41no—
462C4⋊Dic11—41no—
463C4⋊Dic11—41no—
464C4⋊Dic11—41no—
465Dic11⋊C4—22no—
466Dic11⋊C4—22no—
467Dic11⋊C4—22no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474Dic11⋊C4—41no—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489C4×Dic11—22no—
490C4×Dic11—22no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—41no—
496C4×Dic11—41no—
497C4×Dic11—41no—
498C4×Dic11—41no—
499C4×Dic11#4114yes—
500#2839—111no—
501#2839—111no—
502#2838—111no—
503#2838—111no—
504#2838—111no—
505#2838—111no—
506#2837—111no—
507#2837—111no—
508#2832—111no—
509#2832—111no—
510#2831—111no—
511#2831—111no—
512#2830—111no—
513#2830—111no—
514#2829—111no—
515#2829—111no—
516#2401—111no—
517#2401—111no—
518#2399—111no—
519#2398—111no—
520#2398—111no—
521#2398D1111yescharacteristic, complemented
522#2396—111no—
523#2396—111no—
524#2396—111no—
525#2395—111no—
526#2395—111no—
527#2392—111no—
528#2298—111no—
529#2295—111no—
530#2293—111no—
531C23×C11—21no—
532C23×C11—21no—
533C23×C11—21no—
534C23×C11—21no—
535C23×C11—21no—
536C23×C11—21no—
537C23×C11—21no—
538C23×C11—21no—
539C23×C11—21no—
540C23×C11—21no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11C2511yescharacteristic
546C22×D11—21no—
547C22×D11—21no—
548C22×D11—21no—
549C22×D11—21no—
550C22×D11—21no—
551C22×D11—21no—
552C22×D11—21no—
553Q8×C11—44no—
554D4×C11—44no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
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—44no—
592C2×C4×C11—44no—
593C2×C4×C11C2×#4112yes—
594C2×C4×C11H(5,𝔽2)12yes—
595C2×C4×C112−1+412yes—
596C22⋊D11—44no—
597C22⋊D11—44no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
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—21no—
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×Dic11C2×#4112yes—
642C2×Dic11C2×#4112yes—
643C4×D11—44no—
644Dic22—44no—
645Dic22—44no—
646C2×C4×Q8—111no—
647C2×C4×Q8—111no—
648C2×C4×Q8C2×D1111yescharacteristic
649C2×C4×D4—111no—
650C2×C4×D4—111no—
651C2×C4×D4C2×D1111yescharacteristic
652C2×#117—111no—
653C2×#117—111no—
654C2×#117—111no—
655#401—111no—
656#401—111no—
657#400—111no—
658#400—111no—
659#400—111no—
660#400—111no—
661#400—111no—
662#400—111no—
663#400—111no—
664#400—111no—
665#400—111no—
666#400—111no—
667#400—111no—
668#400—111no—
669#400—111no—
670#400—111no—
671#400—111no—
672#400C2×D1111yescharacteristic
673#400C2×D1111yescharacteristic
674#399—111no—
675#399—111no—
676#399—111no—
677#399—111no—
678#399—111no—
679#398—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#398—111no—
685#398—111no—
686#398—111no—
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398—111no—
692#397—111no—
693#397—111no—
694#397—111no—
695#397—111no—
696#397—111no—
697#397—111no—
698#397—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397C2×D1111yescharacteristic
710#397C2×D1111yescharacteristic
711#396—111no—
712#396—111no—
713#396—111no—
714#396—111no—
715#396—111no—
716#396—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#395—111no—
722#395—111no—
723#395—111no—
724#395—111no—
725#395—111no—
726#395—111no—
727#395—111no—
728#394—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#394—111no—
733#394—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394C2×D1111yescharacteristic
740#394C2×D1111yescharacteristic
741#393—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#393—111no—
747#393—111no—
748#393C2×D1111yescharacteristic
749#393C2×D1111yescharacteristic
750#392—111no—
751#391—111no—
752#391—111no—
753#390—111no—
754#390—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—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—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C22⋊C4—111no—
786C4×C22⋊C4—111no—
787C4×C22⋊C4—111no—
788C4×C22⋊C4—111no—
789C4×C22⋊C4—111no—
790C4×C22⋊C4—111no—
791C4×C22⋊C4—111no—
792C4×C22⋊C4—111no—
793C4×C22⋊C4C2×D1111yescharacteristic
794C4×C22⋊C4C2×D1111yescharacteristic
795C4×C22⋊C4C2×D1111yescharacteristic
796C4×C22⋊C4C2×D1111yescharacteristic
797#376—111no—
798#376—111no—
799#376C2×D1111yescharacteristic
800C43—111no—
801C22×C11—41no—
802C22×C11—41no—
803C22×C11—41no—
804C22×C11—41no—
805C22×C11—41no—
806C22×C11—41no—
807C22×C11—41no—
808C22×C11—41no—
809C22×C11—41no—
810C22×C11—41no—
811C22×C11—41no—
812C22×C11—41no—
813C22×C11—41no—
814C22×C11—41no—
815C22×C11C22×#4111yescharacteristic
816C22×C11C2×H(5,𝔽2)11yescharacteristic
817C22×C11C2×2−1+411yescharacteristic
818C22×C11#58511yescharacteristic
819C22×C11#58511yescharacteristic
820C22×C11#58511yescharacteristic
821C22×C11#58511yescharacteristic
822C2×D11—41no—
823C2×D11—41no—
824C2×D11—41no—
825C2×D11—41no—
826C2×D11—41no—
827C2×D11—41no—
828C2×D11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11—41no—
837C4×C11—41no—
838C4×C11—41no—
839C4×C11—41no—
840C4×C11—41no—
841C4×C11#54214yes—
842Dic11—22no—
843Dic11—22no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847Dic11—41no—
848Dic11—41no—
849Dic11—41no—
850Dic11—41no—
851Dic11—41no—
852Dic11—41no—
853Dic11—41no—
854Dic11—41no—
855Dic11—41no—
856Dic11—41no—
857C22×Q8—111no—
858C22×Q8—111no—
859C22×Q8C22×D1111yescharacteristic
860C22×D4—111no—
861C22×D4—111no—
862C22×D4C22×D1111yescharacteristic
863C23×C4—111no—
864C23×C4C22×D1111yescharacteristic
865C23×C4C22×D1111yescharacteristic
866C4×Q8—42no—
867C4×Q8—224no—
868C4×Q8—442no—
869C4×D4—42no—
870C4×D4—224no—
871C4×D4—442no—
872#117—224no—
873#117—442no—
874#117—442no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4C22×D1111yescharacteristic
910C2×C4⋊C4C22×D1111yescharacteristic
911C2×C4⋊C4C22×D1111yescharacteristic
912C2×C4⋊C4C22×D1111yescharacteristic
913C2×C22⋊C4—111no—
914C2×C22⋊C4—111no—
915C2×C22⋊C4—111no—
916C2×C22⋊C4—111no—
917C2×C22⋊C4—111no—
918C2×C22⋊C4—111no—
919C2×C22⋊C4—111no—
920C2×C22⋊C4—111no—
921C2×C22⋊C4—111no—
922C2×C22⋊C4—111no—
923C2×C22⋊C4—111no—
924C2×C22⋊C4—111no—
925C2×C22⋊C4—111no—
926C2×C22⋊C4—111no—
927C2×C22⋊C4—111no—
928C2×C22⋊C4—111no—
929C2×C22⋊C4—111no—
930C2×C22⋊C4—111no—
931C2×C22⋊C4—111no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4C22×D1111yescharacteristic
940C2×C22⋊C4C22×D1111yescharacteristic
941C2×C22⋊C4C22×D1111yescharacteristic
942C2×C22⋊C4C22×D1111yescharacteristic
943C2×C22⋊C4C22×D1111yescharacteristic
944C2×C22⋊C4C22×D1111yescharacteristic
945C2×C22⋊C4C22×D1111yescharacteristic
946C2×C22⋊C4C22×D1111yescharacteristic
947C2×C22⋊C4C22×D1111yescharacteristic
948C2×C22⋊C4C22×D1111yescharacteristic
949C2×C42—111no—
950C2×C42—111no—
951C2×C42—111no—
952C2×C42—111no—
953C2×C42—111no—
954C2×C42—111no—
955C2×C42—111no—
956C2×C42—111no—
957C2×C42—111no—
958C2×C42—111no—
959C2×C42—111no—
960C2×C42C22×D1111yescharacteristic
961C2×C42C22×D1111yescharacteristic
962C2×C42C22×D1111yescharacteristic
963C2×C42C22×D1111yescharacteristic
964C2×C42C22×D1111yescharacteristic
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
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#95C22×D1111yescharacteristic
1010#95C22×D1111yescharacteristic
1011#95C22×D1111yescharacteristic
1012#95C22×D1111yescharacteristic
1013#95C22×D1111yescharacteristic
1014#95C22×D1111yescharacteristic
1015#95C22×D1111yescharacteristic
1016#95C22×D1111yescharacteristic
1017#95C22×D1111yescharacteristic
1018#95C22×D1111yescharacteristic
1019#95C22×D1111yescharacteristic
1020#95C22×D1111yescharacteristic
1021C2×C11—81no—
1022C2×C11—81no—
1023C2×C11C2×#54211yescharacteristic
1024C2×C11#345511yescharacteristic
1025C2×C11#345511yescharacteristic
1026C2×C11#352911yescharacteristic
1027C2×C11#352911yescharacteristic
1028C2×C11#353111yescharacteristic
1029C2×C11#353111yescharacteristic
1030D11—81no—
1031C24—111no—
1032C24C23×D1111yescharacteristic
1033C24C23×D1111yescharacteristic
1034C2×Q8—41no—
1035C2×Q8—41no—
1036C2×Q8—41no—
1037C2×Q8—222no—
1038C2×Q8—441no—
1039C2×Q8—441no—
1040C2×Q8—441no—
1041C2×Q8—441no—
1042C2×Q8—441no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—222no—
1047C2×D4—441no—
1048C2×D4—441no—
1049C2×D4—441no—
1050C2×D4—441no—
1051C2×D4—441no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—111no—
1059C22×C4—111no—
1060C22×C4—111no—
1061C22×C4—111no—
1062C22×C4—111no—
1063C22×C4—111no—
1064C22×C4—111no—
1065C22×C4—111no—
1066C22×C4—111no—
1067C22×C4—111no—
1068C22×C4—111no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—222no—
1074C22×C4—222no—
1075C22×C4—222no—
1076C22×C4C23×D1111yescharacteristic
1077C22×C4C23×D1111yescharacteristic
1078C22×C4C23×D1111yescharacteristic
1079C22×C4C23×D1111yescharacteristic
1080C22×C4C23×D1111yescharacteristic
1081C22×C4C23×D1111yescharacteristic
1082C22×C4C23×D1111yescharacteristic
1083C22×C4C23×D1111yescharacteristic
1084C22×C4C23×D1111yescharacteristic
1085C22×C4C23×D1111yescharacteristic
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—222no—
1094C4⋊C4—222no—
1095C4⋊C4—222no—
1096C4⋊C4—222no—
1097C4⋊C4—222no—
1098C4⋊C4—222no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C4⋊C4—441no—
1103C4⋊C4—441no—
1104C4⋊C4—441no—
1105C4⋊C4—441no—
1106C4⋊C4—441no—
1107C4⋊C4—441no—
1108C4⋊C4—441no—
1109C4⋊C4—441no—
1110C4⋊C4—441no—
1111C4⋊C4—441no—
1112C4⋊C4—441no—
1113C4⋊C4—441no—
1114C4⋊C4—441no—
1115C4⋊C4—441no—
1116C4⋊C4—441no—
1117C4⋊C4—441no—
1118C4⋊C4—441no—
1119C4⋊C4—441no—
1120C4⋊C4—441no—
1121C4⋊C4—441no—
1122C4⋊C4—441no—
1123C4⋊C4—441no—
1124C4⋊C4—441no—
1125C4⋊C4—441no—
1126C4⋊C4—441no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—222no—
1138C22⋊C4—222no—
1139C22⋊C4—222no—
1140C22⋊C4—222no—
1141C22⋊C4—441no—
1142C22⋊C4—441no—
1143C22⋊C4—441no—
1144C22⋊C4—441no—
1145C22⋊C4—441no—
1146C22⋊C4—441no—
1147C22⋊C4—441no—
1148C22⋊C4—441no—
1149C22⋊C4—441no—
1150C22⋊C4—441no—
1151C22⋊C4—441no—
1152C22⋊C4—441no—
1153C22⋊C4—441no—
1154C22⋊C4—441no—
1155C22⋊C4—441no—
1156C22⋊C4—441no—
1157C22⋊C4—441no—
1158C22⋊C4—441no—
1159C22⋊C4—441no—
1160C22⋊C4—441no—
1161C22⋊C4—441no—
1162C22⋊C4—441no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—22no—
1168C42—114no—
1169C42—222no—
1170C42—222no—
1171C42—222no—
1172C42—222no—
1173C42—222no—
1174C42—222no—
1175C42—441no—
1176C42—441no—
1177C42—441no—
1178C42—441no—
1179C11#3669311yescharacteristic, complemented, Sylow
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—221no—
1195C23—221no—
1196C23—221no—
1197C23—221no—
1198C23—221no—
1199C23—221no—
1200C23—221no—
1201C23C24×D1111yescharacteristic
1202Q8—44no—
1203Q8—444no—
1204Q8—444no—
1205D4—44no—
1206D4—444no—
1207D4—444no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—44no—
1245C2×C4—44no—
1246C2×C4—112no—
1247C2×C4—112no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—221no—
1252C2×C4—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—221no—
1263C2×C4—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—221no—
1267C2×C4—221no—
1268C2×C4—221no—
1269C2×C4—221no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—444no—
1292C2×C4#6703712yes—
1293C2×C4#41×D1112yes—
1294C2×C4#6704312yes—
1295C22—41no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—41no—
1308C22—41no—
1309C22—441no—
1310C22—441no—
1311C22—441no—
1312C22—441no—
1313C22—441no—
1314C22—441no—
1315C22—441no—
1316C22C2×#6703711yescharacteristic
1317C22C2×#41×D1111yescharacteristic
1318C22C2×#6704311yescharacteristic
1319C22#1062345311yescharacteristic
1320C22#1062345311yescharacteristic
1321C22#1062345311yescharacteristic
1322C22#1062345311yescharacteristic
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—222no—
1336C4—222no—
1337C4—441no—
1338C4—441no—
1339C4—441no—
1340C4—441no—
1341C4—441no—
1342C4—441no—
1343C4—441no—
1344C4—441no—
1345C4—441no—
1346C4—441no—
1347C4—441no—
1348C4—441no—
1349C4—441no—
1350C4#1062320014yes—
1351C2—81no—
1352C2—81no—
1353C2—881no—
1354C2C2×#1062320011yescharacteristic
1355C2#1308199911yescharacteristic
1356C2#1308199911yescharacteristic
1357C2#1308275411yescharacteristic
1358C2#1308275411yescharacteristic
1359C2#1308276111yescharacteristic
1360C2#1308276111yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2398C2
prime radical#10622836C22
hypercenter#2398D11
hypocenterC11#36693
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2398

Complements

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

NH ≅ G/Ntype
1. #13076867C2semidirect
2. #13076861C2semidirect
3. #13076852C2semidirect
4. #13076850C2semidirect
5. #13076850C2semidirect
6. #13076848C2semidirect
7. #13076833C2semidirect
8. #13076831C2semidirect
9. #13076784C2semidirect
10. #13076782C2semidirect
11. #13076771C2semidirect
12. #13076765C2semidirect
13. #13076761C2semidirect
14. #13076760C2semidirect
17. #13071916C2semidirect
18. #13071914C2semidirect
19. #13071907C2semidirect
20. #13071903C2semidirect
21. #13071903C2semidirect
22. #13071890C2semidirect
23. #13071890C2semidirect
24. #13071886C2semidirect
25. #13071877C2semidirect
26. #13071875C2semidirect
28. #13071112C2semidirect
29. #13071088C2semidirect
30. #13071079C2semidirect
31. C11×#2398C2semidirect
521. #2398D11semidirect
1179. C11#36693semidirect

Maximal subgroups

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

subgroupindex
#130768672
#130768612
#130768522
#130768502
#130768482
#130768332
#130768312
#130767842
#130767822
#130767712
#130767652
#130767612
#130767602
#130767432
#130767412
#130719162
#130719142
#130719072
#130719032
#130718902
#130718862
#130718772
#130718752
#130718582
#130711122
#130710882
#130710792
C11×#23982
#3669311