Finite Group Databasebeta

← #14921016

Subgroups — #14921016

Order 2816.

1558 conjugacy classes of subgroups.

The subgroup lattice has 1270 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074712C211yesmaximal, characteristic, complemented
2#13074710C211yesmaximal, characteristic, complemented
3#13074704C211yesmaximal, characteristic, complemented
4#13074702C211yesmaximal, characteristic, complemented
5#13074671C211yesmaximal, characteristic
6#13074669C211yesmaximal, characteristic
7#13074663C211yesmaximal, characteristic
8#13074661C211yesmaximal, characteristic
9#13074590C211yesmaximal, characteristic, complemented
10#13074580C211yesmaximal, characteristic, complemented
11#13074580C211yesmaximal, characteristic, complemented
12#13074563C211yesmaximal, characteristic, complemented
13#13074448C211yesmaximal, characteristic
14#13074419C211yesmaximal, characteristic
15#13074417C211yesmaximal, characteristic
16#13074384C211yesmaximal, characteristic
17#13071924C211yesmaximal, characteristic, complemented
18#13071923C211yesmaximal, characteristic, complemented
19#13071923C211yesmaximal, characteristic, complemented
20#13071917C211yesmaximal, characteristic
21#13071917C211yesmaximal, characteristic
22#13071917C211yesmaximal, characteristic
23#13071914C211yesmaximal, characteristic
24C4×#66941C211yesmaximal, characteristic, complemented
25C4×#66942C211yesmaximal, characteristic, complemented
26C4×#66949C211yesmaximal, characteristic
27C4×#66949C211yesmaximal, characteristic
28#13071092C211yesmaximal, characteristic, complemented
29#13071088C211yesmaximal, characteristic, complemented
30C4×#66945C211yesmaximal, characteristic
31C11×#2402C211yesmaximal, characteristic, complemented
32C2×#66949C2211yescharacteristic
33C2×#66949C2211yescharacteristic
34C2×#66945C2211yescharacteristic
35C2×#66945C2211yescharacteristic
36C2×#66942C2211yescharacteristic
37C2×#66941C2211yescharacteristic
38C2×C42×D11C2211yescharacteristic
39C2×C4×Dic22C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#398C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C4⋊C4C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
55C11×#376C2211yescharacteristic
56#10622607C2211yescharacteristic
57#10622607C2211yescharacteristic
58#10622607C2211yescharacteristic
59#10622606C2211yescharacteristic
60#10622606C2211yescharacteristic
61#10622606C2211yescharacteristic
62#10622602C2211yescharacteristic
63#10622602C2211yescharacteristic
64#10622599C2211yescharacteristic
65#10622599C2211yescharacteristic
66#10622599C2211yescharacteristic
67#10622599C2211yescharacteristic
68#10622599C2211yescharacteristic
69#10622598C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622597C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622595C2211yescharacteristic
77#10622595C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622593C2211yescharacteristic
85#10622593C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622589C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92#10622586C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98C4×(C2×D11)⋊C4C2211yescharacteristic
99C4×(C2×D11)⋊C4C2211yescharacteristic
100C4×(C2×D11)⋊C4C2211yescharacteristic
101C4×(C2×D11)⋊C4C2211yescharacteristic
102C4×(C2×D11)⋊C4C2211yescharacteristic
103C4×(C2×D11)⋊C4C2211yescharacteristic
104C4×C4⋊Dic11C2211yescharacteristic
105C4×C4⋊Dic11C2211yescharacteristic
106C4×C4⋊Dic11C2211yescharacteristic
107C4×C4⋊Dic11C2211yescharacteristic
108#10622545C2211yescharacteristic
109#10622545C2211yescharacteristic
110#10622545C2211yescharacteristic
111C4×Dic11⋊C4C2211yescharacteristic
112C4×Dic11⋊C4C2211yescharacteristic
113C4×Dic11⋊C4C2211yescharacteristic
114C4×Dic11⋊C4C2211yescharacteristic
115C4×Dic11⋊C4C2211yescharacteristic
116C4×Dic11⋊C4C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123#10622289C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622288C2211yescharacteristic
126#10622288C2211yescharacteristic
127#10622288C2211yescharacteristic
128#10622288C2211yescharacteristic
129#10622288C2211yescharacteristic
130#10622287C2211yescharacteristic
131#10622287C2211yescharacteristic
132#10622287C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622281C2211yescharacteristic
135#10622280C2211yescharacteristic
136#10622280C2211yescharacteristic
137#10622279C2211yescharacteristic
138#10622279C2211yescharacteristic
139C11⋊#401C2211yescharacteristic
140C11⋊#401C2211yescharacteristic
141C11⋊#401C2211yescharacteristic
142C11⋊#401C2211yescharacteristic
143#10622274C2211yescharacteristic
144#10622274C2211yescharacteristic
145#10622273C2211yescharacteristic
146#10622273C2211yescharacteristic
147#10622273C2211yescharacteristic
148#10622273C2211yescharacteristic
149#10622273C2211yescharacteristic
150#10622272C2211yescharacteristic
151#10622272C2211yescharacteristic
152#10622271C2211yescharacteristic
153#10622271C2211yescharacteristic
154#10622271C2211yescharacteristic
155#10622271C2211yescharacteristic
156#10622271C2211yescharacteristic
157#10622271C2211yescharacteristic
158#10622271C2211yescharacteristic
159#10622270C2211yescharacteristic
160#10622270C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622268C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622266C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622261C2211yescharacteristic
173#10622261C2211yescharacteristic
174#10622260C2211yescharacteristic
175#10622260C2211yescharacteristic
176#10622260C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×C4×D11C2311yescharacteristic
188C22×C4×D11C2311yescharacteristic
189C22×C4×D11C2311yescharacteristic
190C22×Dic22C2311yescharacteristic
191C22×Dic22C2311yescharacteristic
192C2×C11×C4⋊C4C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C42×C11C2311yescharacteristic
205C2×C42×C11C2311yescharacteristic
206C2×C42×C11C2311yescharacteristic
207C2×C42×C11C2311yescharacteristic
208C2×C42×C11C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×(C2×D11)⋊C4C2311yescharacteristic
212C2×(C2×D11)⋊C4C2311yescharacteristic
213C2×(C2×D11)⋊C4C2311yescharacteristic
214C2×(C2×D11)⋊C4C2311yescharacteristic
215C2×(C2×D11)⋊C4C2311yescharacteristic
216C2×(C2×D11)⋊C4C2311yescharacteristic
217C2×(C2×D11)⋊C4C2311yescharacteristic
218C2×(C2×D11)⋊C4C2311yescharacteristic
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×C4⋊Dic11C2311yescharacteristic
224C2×C4⋊Dic11C2311yescharacteristic
225C2×C4⋊Dic11C2311yescharacteristic
226C2×C4⋊Dic11C2311yescharacteristic
227C2×C4⋊Dic11C2311yescharacteristic
228C2×C4⋊Dic11C2311yescharacteristic
229C2×C4⋊Dic11C2311yescharacteristic
230C2×C4⋊Dic11C2311yescharacteristic
231C2×C4⋊Dic11C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×Dic11⋊C4C2311yescharacteristic
234C2×Dic11⋊C4C2311yescharacteristic
235C2×Dic11⋊C4C2311yescharacteristic
236C2×Dic11⋊C4C2311yescharacteristic
237C2×Dic11⋊C4C2311yescharacteristic
238C2×Dic11⋊C4C2311yescharacteristic
239C2×Dic11⋊C4C2311yescharacteristic
240C2×Dic11⋊C4C2311yescharacteristic
241C2×Dic11⋊C4C2311yescharacteristic
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×C4×Dic11C2311yescharacteristic
258C2×C4×Dic11C2311yescharacteristic
259C2×C4×Dic11C2311yescharacteristic
260C2×C4×Dic11C2311yescharacteristic
261C2×C4×Dic11C2311yescharacteristic
262C2×C4×Dic11C2311yescharacteristic
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
274#66949—24no—
275#66949—24no—
276#66945—24no—
277#66945—24no—
278#66942—24no—
279#66941—24no—
280C42×D11—24no—
281C4×Dic22—24no—
282C4×Dic22—24no—
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
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#34629—111nomaximal, Sylow
352C23×D11C2411yescharacteristic
353C22×C4×C11C2411yescharacteristic
354C22×C4×C11C2411yescharacteristic
355C22×C4×C11C2411yescharacteristic
356C22×C4×C11C2411yescharacteristic
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×Dic11C2411yescharacteristic
369C22×Dic11C2411yescharacteristic
370C22×Dic11C2411yescharacteristic
371C22×Dic11C2411yescharacteristic
372C22×Dic11C2411yescharacteristic
373C22×Dic11C2411yescharacteristic
374C22×Dic11C2411yescharacteristic
375C22×Dic11C2411yescharacteristic
376C22×Dic11C2411yescharacteristic
377C22×Dic11C2411yescharacteristic
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C2×C4×D11—22no—
384C2×C4×D11—22no—
385C2×C4×D11—22no—
386C2×C4×D11—22no—
387C2×C4×D11—22no—
388C2×C4×D11—22no—
389C2×C4×D11—41no—
390C2×C4×D11—41no—
391C2×C4×D11#4114yes—
392C2×Dic22—22no—
393C2×Dic22—22no—
394C2×Dic22—22no—
395C2×Dic22—22no—
396C2×Dic22—22no—
397C2×Dic22—22no—
398C11×C4⋊C4—22no—
399C11×C4⋊C4—22no—
400C11×C4⋊C4—22no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4—41no—
405C11×C4⋊C4—41no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C42×C11—22no—
411C42×C11—22no—
412C42×C11—22no—
413C42×C11—22no—
414C42×C11—22no—
415C42×C11—22no—
416C42×C11—22no—
417(C2×D11)⋊C4—22no—
418(C2×D11)⋊C4—22no—
419(C2×D11)⋊C4—22no—
420(C2×D11)⋊C4—22no—
421(C2×D11)⋊C4—22no—
422(C2×D11)⋊C4—22no—
423(C2×D11)⋊C4—22no—
424(C2×D11)⋊C4—22no—
425(C2×D11)⋊C4—41no—
426(C2×D11)⋊C4—41no—
427(C2×D11)⋊C4—41no—
428(C2×D11)⋊C4—41no—
429C4⋊Dic11—22no—
430C4⋊Dic11—22no—
431C4⋊Dic11—22no—
432C4⋊Dic11—22no—
433C4⋊Dic11—22no—
434C4⋊Dic11—22no—
435C4⋊Dic11—41no—
436C4⋊Dic11—41no—
437C4⋊Dic11—41no—
438C4⋊Dic11—41no—
439Dic11⋊C4—22no—
440Dic11⋊C4—22no—
441Dic11⋊C4—22no—
442Dic11⋊C4—22no—
443Dic11⋊C4—22no—
444Dic11⋊C4—22no—
445Dic11⋊C4—22no—
446Dic11⋊C4—22no—
447Dic11⋊C4—22no—
448Dic11⋊C4—22no—
449Dic11⋊C4—22no—
450Dic11⋊C4—22no—
451Dic11⋊C4—22no—
452Dic11⋊C4—22no—
453Dic11⋊C4—41no—
454Dic11⋊C4—41no—
455Dic11⋊C4—41no—
456Dic11⋊C4—41no—
457Dic11⋊C4—41no—
458Dic11⋊C4—41no—
459Dic11⋊C4—41no—
460Dic11⋊C4—41no—
461Dic11⋊C4—41no—
462Dic11⋊C4—41no—
463C4×Dic11—22no—
464C4×Dic11—22no—
465C4×Dic11—22no—
466C4×Dic11—22no—
467C4×Dic11—22no—
468C4×Dic11—22no—
469C4×Dic11—22no—
470C4×Dic11—22no—
471C4×Dic11—22no—
472C4×Dic11—22no—
473C4×Dic11—22no—
474C4×Dic11—41no—
475C4×Dic11—41no—
476C4×Dic11—41no—
477C4×Dic11—41no—
478C4×Dic11#4114yes—
479C4×Dic11#4114yes—
480#2655—111no—
481#2655—111no—
482#2655—111no—
483#2655—111no—
484#2652—111no—
485#2652—111no—
486#2652—111no—
487#2652—111no—
488#2647—111no—
489#2645—111no—
490#2645—111no—
491#2642—111no—
492#2629—111no—
493#2625—111no—
494#2625—111no—
495#2621—111no—
496#2402—111no—
497#2402—111no—
498#2402—111no—
499#2402D1111yescharacteristic, complemented
500#2401—111no—
501#2401—111no—
502#2401—111no—
503#2401—111no—
504C4×C4⋊Q8—111no—
505C4×#125—111no—
506C4×C22⋊Q8—111no—
507C4×C22⋊Q8—111no—
508#2295—111no—
509#2295—111no—
510C4×#117—111no—
511C23×C11C2511yescharacteristic
512C22×D11—21no—
513C22×D11—21no—
514C22×D11—21no—
515C22×D11—21no—
516C22×D11—21no—
517C22×D11—21no—
518C22×D11C2×#4112yes—
519C2×C4×C11—21no—
520C2×C4×C11—21no—
521C2×C4×C11—21no—
522C2×C4×C11—21no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11C2×#4112yes—
560C2×C4×C11C2×#4112yes—
561C2×C4×C11C2×#4112yes—
562C2×C4×C112−1+412yes—
563C2×C4×C112−1+412yes—
564C2×Dic11—21no—
565C2×Dic11—21no—
566C2×Dic11—21no—
567C2×Dic11—21no—
568C2×Dic11—21no—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—21no—
576C2×Dic11—21no—
577C2×Dic11—21no—
578C2×Dic11—21no—
579C2×Dic11—21no—
580C2×Dic11—21no—
581C2×Dic11—21no—
582C2×Dic11—21no—
583C2×Dic11—21no—
584C2×Dic11—21no—
585C2×Dic11—21no—
586C2×Dic11—21no—
587C2×Dic11—21no—
588C2×Dic11—21no—
589C2×Dic11—21no—
590C2×Dic11—21no—
591C2×Dic11—21no—
592C2×Dic11—21no—
593C2×Dic11—21no—
594C2×Dic11—21no—
595C2×Dic11—21no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—21no—
603C2×Dic11—21no—
604C2×Dic11C2×#4112yes—
605C2×Dic11C2×#4112yes—
606C2×Dic11C2×#4112yes—
607C2×Dic11C2×#4112yes—
608C2×Dic11C2×#4112yes—
609C4×D11—28no—
610C4×D11—44no—
611C4×D11—44no—
612Dic22—44no—
613Dic22—44no—
614C2×C4⋊Q8—111no—
615C2×#125—111no—
616C2×C22⋊Q8—111no—
617C2×C22⋊Q8—111no—
618C2×C4×Q8—111no—
619C2×C4×Q8—111no—
620C2×#117—111no—
621C2×#117—111no—
622C22×C42—111no—
623#401—111no—
624#401—111no—
625#401—111no—
626#401—111no—
627#400—111no—
628#400—111no—
629#400—111no—
630#400—111no—
631#400—111no—
632#400—111no—
633#400—111no—
634#400—111no—
635#400—111no—
636#400—111no—
637#400—111no—
638#400—111no—
639#400—111no—
640#400—111no—
641#400—111no—
642#400—111no—
643#400—111no—
644#400—111no—
645#400—111no—
646#400—111no—
647#400—111no—
648#400—111no—
649#400—111no—
650#400—111no—
651#400C2×D1111yescharacteristic
652#400C2×D1111yescharacteristic
653#400C2×D1111yescharacteristic
654#400C2×D1111yescharacteristic
655#398—111no—
656#398—111no—
657#398—111no—
658#398—111no—
659#398—111no—
660#398—111no—
661#398—111no—
662#398—111no—
663#398—111no—
664#398—111no—
665#398—111no—
666#398—111no—
667#398C2×D1111yescharacteristic
668#398C2×D1111yescharacteristic
669#398C2×D1111yescharacteristic
670#398C2×D1111yescharacteristic
671#397—111no—
672#397—111no—
673#397—111no—
674#397—111no—
675#397—111no—
676#397—111no—
677#397—111no—
678#397—111no—
679#397—111no—
680#397—111no—
681#397—111no—
682#397—111no—
683#396—111no—
684#396—111no—
685#396—111no—
686#396—111no—
687#391—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391—111no—
692#391—111no—
693#391—111no—
694#391—111no—
695#389—111no—
696#389—111no—
697#389—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#387—111no—
708#387—111no—
709#387—111no—
710#387—111no—
711#387—111no—
712#387—111no—
713#387—111no—
714#387—111no—
715#387—111no—
716#387—111no—
717#387—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387—111no—
722#387—111no—
723#385—111no—
724#385—111no—
725#385—111no—
726#385—111no—
727#384—111no—
728#382—111no—
729#380—111no—
730#380—111no—
731C4×C4⋊C4—111no—
732C4×C4⋊C4—111no—
733C4×C4⋊C4—111no—
734C4×C4⋊C4—111no—
735C4×C4⋊C4—111no—
736C4×C4⋊C4—111no—
737C4×C4⋊C4—111no—
738C4×C4⋊C4—111no—
739C4×C4⋊C4—111no—
740C4×C4⋊C4—111no—
741C4×C4⋊C4—111no—
742C4×C4⋊C4—111no—
743C4×C4⋊C4—111no—
744C4×C4⋊C4—111no—
745C4×C4⋊C4—111no—
746C4×C4⋊C4—111no—
747C4×C4⋊C4C2×D1111yescharacteristic
748C4×C4⋊C4C2×D1111yescharacteristic
749C4×C4⋊C4C2×D1111yescharacteristic
750C4×C4⋊C4C2×D1111yescharacteristic
751C4×C4⋊C4C2×D1111yescharacteristic
752C4×C4⋊C4C2×D1111yescharacteristic
753C4×C22⋊C4—111no—
754C4×C22⋊C4—111no—
755C4×C22⋊C4—111no—
756C4×C22⋊C4—111no—
757C4×C22⋊C4—111no—
758C4×C22⋊C4—111no—
759C4×C22⋊C4—111no—
760C4×C22⋊C4—111no—
761#376—111no—
762#376—111no—
763#376—111no—
764#376—111no—
765#376—111no—
766#376C2×D1111yescharacteristic
767C43—111no—
768C43—111no—
769C22×C11C22×#4111yescharacteristic
770C22×C11C22×#4111yescharacteristic
771C22×C11C22×#4111yescharacteristic
772C22×C11C2×2−1+411yescharacteristic
773C22×C11C2×2−1+411yescharacteristic
774C22×C11#58511yescharacteristic
775C22×C11#58511yescharacteristic
776C2×D11—22no—
777C2×D11—22no—
778C2×D11—22no—
779C2×D11—41no—
780C2×D11—41no—
781C2×D11—41no—
782C2×D11—41no—
783C4×C11—22no—
784C4×C11—22no—
785C4×C11—41no—
786C4×C11—41no—
787C4×C11—41no—
788C4×C11—41no—
789C4×C11—41no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11#54114yes—
798Dic11—22no—
799Dic11—22no—
800Dic11—41no—
801Dic11—41no—
802Dic11—41no—
803Dic11—41no—
804Dic11—41no—
805Dic11—41no—
806Dic11—41no—
807Dic11—41no—
808Dic11—41no—
809Dic11—41no—
810Dic11—41no—
811Dic11—41no—
812Dic11#52914yes—
813C22×Q8—111no—
814C22×Q8—111no—
815C23×C4—111no—
816C23×C4—111no—
817C23×C4—111no—
818C4⋊Q8—224no—
819#125—224no—
820C22⋊Q8—224no—
821C22⋊Q8—224no—
822C4×Q8—224no—
823C4×Q8—224no—
824#117—224no—
825#117—224no—
826C2×C4⋊C4—111no—
827C2×C4⋊C4—111no—
828C2×C4⋊C4—111no—
829C2×C4⋊C4—111no—
830C2×C4⋊C4—111no—
831C2×C4⋊C4—111no—
832C2×C4⋊C4—111no—
833C2×C4⋊C4—111no—
834C2×C4⋊C4—111no—
835C2×C4⋊C4—111no—
836C2×C4⋊C4—111no—
837C2×C4⋊C4—111no—
838C2×C4⋊C4—111no—
839C2×C4⋊C4—111no—
840C2×C4⋊C4—111no—
841C2×C4⋊C4—111no—
842C2×C4⋊C4—111no—
843C2×C4⋊C4—111no—
844C2×C4⋊C4—111no—
845C2×C4⋊C4—111no—
846C2×C4⋊C4—111no—
847C2×C4⋊C4—111no—
848C2×C4⋊C4—111no—
849C2×C4⋊C4—111no—
850C2×C4⋊C4—111no—
851C2×C4⋊C4—111no—
852C2×C4⋊C4—111no—
853C2×C4⋊C4—111no—
854C2×C4⋊C4—111no—
855C2×C4⋊C4—111no—
856C2×C4⋊C4—111no—
857C2×C4⋊C4—111no—
858C2×C4⋊C4—111no—
859C2×C4⋊C4—111no—
860C2×C4⋊C4C22×D1111yescharacteristic
861C2×C4⋊C4C22×D1111yescharacteristic
862C2×C4⋊C4C22×D1111yescharacteristic
863C2×C4⋊C4C22×D1111yescharacteristic
864C2×C4⋊C4C22×D1111yescharacteristic
865C2×C4⋊C4C22×D1111yescharacteristic
866C2×C4⋊C4C22×D1111yescharacteristic
867C2×C4⋊C4C22×D1111yescharacteristic
868C2×C4⋊C4C22×D1111yescharacteristic
869C2×C4⋊C4C22×D1111yescharacteristic
870C2×C4⋊C4C22×D1111yescharacteristic
871C2×C4⋊C4C22×D1111yescharacteristic
872C2×C22⋊C4—111no—
873C2×C22⋊C4—111no—
874C2×C22⋊C4—111no—
875C2×C22⋊C4—111no—
876C2×C22⋊C4—111no—
877C2×C22⋊C4—111no—
878C2×C22⋊C4—111no—
879C2×C22⋊C4—111no—
880C2×C22⋊C4—111no—
881C2×C22⋊C4—111no—
882C2×C22⋊C4—111no—
883C2×C22⋊C4—111no—
884C2×C42—111no—
885C2×C42—111no—
886C2×C42—111no—
887C2×C42—111no—
888C2×C42—111no—
889C2×C42—111no—
890C2×C42—111no—
891C2×C42—111no—
892C2×C42—111no—
893C2×C42—111no—
894C2×C42—111no—
895C2×C42—111no—
896C2×C42—111no—
897C2×C42—111no—
898C2×C42—111no—
899C2×C42—111no—
900C2×C42—111no—
901C2×C42—224no—
902C2×C42C22×D1111yescharacteristic
903C2×C42C22×D1111yescharacteristic
904C2×C42C22×D1111yescharacteristic
905C2×C42C22×D1111yescharacteristic
906C2×C42C22×D1111yescharacteristic
907C2×C42C22×D1111yescharacteristic
908C2×C42C22×D1111yescharacteristic
909#95—111no—
910#95—111no—
911#95—111no—
912#95—111no—
913#95—111no—
914#95—111no—
915#95—111no—
916#95—111no—
917#95—111no—
918#95—111no—
919#95—111no—
920#95—111no—
921#95—111no—
922#95—111no—
923#95—111no—
924#95—111no—
925#95—111no—
926#95—111no—
927#95—111no—
928#95—111no—
929#95—111no—
930#95—111no—
931#95—111no—
932#95—111no—
933#95—111no—
934#95—111no—
935#95—111no—
936#95—111no—
937#95—111no—
938#95—111no—
939#95—111no—
940#95—111no—
941#95—111no—
942#95—111no—
943#95—111no—
944#95—111no—
945#95—111no—
946#95—111no—
947#95—111no—
948#95—111no—
949#95—111no—
950#95—111no—
951#95—111no—
952#95—111no—
953#95—111no—
954#95—111no—
955#95—111no—
956#95—111no—
957#95—111no—
958#95—111no—
959#95—111no—
960#95—111no—
961#95C22×D1111yescharacteristic
962#95C22×D1111yescharacteristic
963#95C22×D1111yescharacteristic
964#95C22×D1111yescharacteristic
965#95C22×D1111yescharacteristic
966#95C22×D1111yescharacteristic
967#95C22×D1111yescharacteristic
968#95C22×D1111yescharacteristic
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974#95C22×D1111yescharacteristic
975#95C22×D1111yescharacteristic
976#95C22×D1111yescharacteristic
977C2×C11C2×#52911yescharacteristic
978C2×C11C2×#54111yescharacteristic
979C2×C11#345511yescharacteristic
980C2×C11#346111yescharacteristic
981C2×C11#346111yescharacteristic
982C2×C11#346111yescharacteristic
983C2×C11#346111yescharacteristic
984D11—42no—
985C24—111no—
986C2×Q8—222no—
987C2×Q8—222no—
988C2×Q8—222no—
989C2×Q8—222no—
990C2×Q8—222no—
991C2×Q8—222no—
992C22×C4—111no—
993C22×C4—111no—
994C22×C4—111no—
995C22×C4—114no—
996C22×C4—111no—
997C22×C4—111no—
998C22×C4—111no—
999C22×C4—111no—
1000C22×C4—111no—
1001C22×C4—111no—
1002C22×C4—111no—
1003C22×C4—111no—
1004C22×C4—111no—
1005C22×C4—111no—
1006C22×C4—111no—
1007C22×C4—111no—
1008C22×C4—222no—
1009C22×C4—222no—
1010C22×C4—222no—
1011C22×C4—222no—
1012C22×C4—222no—
1013C22×C4—222no—
1014C22×C4—441no—
1015C22×C4—441no—
1016C22×C4C23×D1111yescharacteristic
1017C22×C4C23×D1111yescharacteristic
1018C22×C4C23×D1111yescharacteristic
1019C22×C4C23×D1111yescharacteristic
1020C22×C4C23×D1111yescharacteristic
1021C22×C4C23×D1111yescharacteristic
1022C22×C4C23×D1111yescharacteristic
1023C22×C4C23×D1111yescharacteristic
1024C22×C4C23×D1111yescharacteristic
1025C22×C4C23×D1111yescharacteristic
1026C22×C4C23×D1111yescharacteristic
1027C22×C4C23×D1111yescharacteristic
1028C22×C4C23×D1111yescharacteristic
1029C22×C4C23×D1111yescharacteristic
1030C22×C4C23×D1111yescharacteristic
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—22no—
1036C4⋊C4—22no—
1037C4⋊C4—41no—
1038C4⋊C4—41no—
1039C4⋊C4—41no—
1040C4⋊C4—41no—
1041C4⋊C4—41no—
1042C4⋊C4—41no—
1043C4⋊C4—222no—
1044C4⋊C4—222no—
1045C4⋊C4—222no—
1046C4⋊C4—222no—
1047C4⋊C4—222no—
1048C4⋊C4—222no—
1049C4⋊C4—222no—
1050C4⋊C4—222no—
1051C4⋊C4—222no—
1052C4⋊C4—222no—
1053C4⋊C4—222no—
1054C4⋊C4—222no—
1055C4⋊C4—222no—
1056C4⋊C4—222no—
1057C4⋊C4—222no—
1058C4⋊C4—222no—
1059C4⋊C4—222no—
1060C4⋊C4—222no—
1061C4⋊C4—222no—
1062C4⋊C4—222no—
1063C4⋊C4—441no—
1064C4⋊C4—441no—
1065C4⋊C4—441no—
1066C4⋊C4—441no—
1067C4⋊C4—441no—
1068C4⋊C4—441no—
1069C4⋊C4—441no—
1070C4⋊C4—441no—
1071C4⋊C4—441no—
1072C4⋊C4—441no—
1073C4⋊C4—441no—
1074C4⋊C4—441no—
1075C4⋊C4—441no—
1076C4⋊C4—441no—
1077C22⋊C4—222no—
1078C22⋊C4—222no—
1079C22⋊C4—222no—
1080C22⋊C4—222no—
1081C22⋊C4—222no—
1082C22⋊C4—222no—
1083C22⋊C4—222no—
1084C22⋊C4—222no—
1085C22⋊C4—441no—
1086C22⋊C4—441no—
1087C22⋊C4—441no—
1088C22⋊C4—441no—
1089C42—22no—
1090C42—22no—
1091C42—22no—
1092C42—22no—
1093C42—22no—
1094C42—22no—
1095C42—22no—
1096C42—114no—
1097C42—114no—
1098C42—222no—
1099C42—222no—
1100C42—222no—
1101C42—222no—
1102C42—222no—
1103C42—222no—
1104C42—222no—
1105C42—222no—
1106C42—222no—
1107C42—222no—
1108C42—222no—
1109C42—441no—
1110C42—441no—
1111C42—441no—
1112C42—441no—
1113C11#3462911yescharacteristic, complemented, Sylow
1114C23—112no—
1115C23—221no—
1116C23—221no—
1117C23—221no—
1118C23—221no—
1119C23—221no—
1120C23—221no—
1121C23C24×D1111yescharacteristic
1122Q8—444no—
1123Q8—444no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—112no—
1165C2×C4—112no—
1166C2×C4—112no—
1167C2×C4—112no—
1168C2×C4—112no—
1169C2×C4—228no—
1170C2×C4—221no—
1171C2×C4—221no—
1172C2×C4—221no—
1173C2×C4—221no—
1174C2×C4—221no—
1175C2×C4—221no—
1176C2×C4—221no—
1177C2×C4—221no—
1178C2×C4—221no—
1179C2×C4—221no—
1180C2×C4—221no—
1181C2×C4—221no—
1182C2×C4—221no—
1183C2×C4—221no—
1184C2×C4—221no—
1185C2×C4—221no—
1186C2×C4—221no—
1187C2×C4—221no—
1188C2×C4—221no—
1189C2×C4—221no—
1190C2×C4—221no—
1191C2×C4—221no—
1192C2×C4—221no—
1193C2×C4—221no—
1194C2×C4—221no—
1195C2×C4—221no—
1196C2×C4—221no—
1197C2×C4—221no—
1198C2×C4—221no—
1199C2×C4—221no—
1200C2×C4—221no—
1201C2×C4—221no—
1202C2×C4—221no—
1203C2×C4—221no—
1204C2×C4—221no—
1205C2×C4—221no—
1206C2×C4—221no—
1207C2×C4—221no—
1208C2×C4—221no—
1209C2×C4—221no—
1210C2×C4—444no—
1211C2×C4—444no—
1212C2×C4#6704012yes—
1213C2×C4#41×D1112yes—
1214C2×C4#41×D1112yes—
1215C2×C4#41×D1112yes—
1216C2×C4#6704312yes—
1217C22—222no—
1218C22—222no—
1219C22—222no—
1220C22—441no—
1221C22—441no—
1222C22—441no—
1223C22—441no—
1224C22C2×#6704011yescharacteristic
1225C22C2×#41×D1111yescharacteristic
1226C22C2×#41×D1111yescharacteristic
1227C22C2×#41×D1111yescharacteristic
1228C22C2×#6704311yescharacteristic
1229C22#1062345311yescharacteristic
1230C22#1062345311yescharacteristic
1231C4—22no—
1232C4—22no—
1233C4—41no—
1234C4—41no—
1235C4—41no—
1236C4—41no—
1237C4—41no—
1238C4—41no—
1239C4—41no—
1240C4—41no—
1241C4—41no—
1242C4—41no—
1243C4—41no—
1244C4—41no—
1245C4—114no—
1246C4—222no—
1247C4—222no—
1248C4—441no—
1249C4—441no—
1250C4—441no—
1251C4—441no—
1252C4—441no—
1253C4—441no—
1254C4—441no—
1255C4—441no—
1256C4—441no—
1257C4—441no—
1258C4—441no—
1259C4—441no—
1260C4#1062322714yes—
1261C2—442no—
1262C2D11×#52911yescharacteristic
1263C2C2×#1062322711yescharacteristic
1264C2#1308199911yescharacteristic
1265C2#1308204111yescharacteristic
1266C2#1308204511yescharacteristic
1267C2#1308204711yescharacteristic
1268C2#1308204711yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2402C2
prime radicalC23×D11C24
hypercenter#2402D11
hypocenterC11#34629
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2402

Complements

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

NH ≅ G/Ntype
1. #13074712C2semidirect
2. #13074710C2semidirect
3. #13074704C2semidirect
4. #13074702C2semidirect
9. #13074590C2semidirect
10. #13074580C2semidirect
11. #13074580C2semidirect
12. #13074563C2semidirect
17. #13071924C2semidirect
18. #13071923C2semidirect
19. #13071923C2semidirect
24. C4×#66941C2semidirect
25. C4×#66942C2semidirect
28. #13071092C2semidirect
29. #13071088C2semidirect
31. C11×#2402C2semidirect
499. #2402D11semidirect
1113. C11#34629semidirect

Maximal subgroups

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

subgroupindex
#130747122
#130747102
#130747042
#130747022
#130746712
#130746692
#130746632
#130746612
#130745902
#130745802
#130745632
#130744482
#130744192
#130744172
#130743842
#130719242
#130719232
#130719172
#130719142
C4×#669412
C4×#669422
C4×#669492
#130710922
#130710882
C4×#669452
C11×#24022
#3462911