Finite Group Databasebeta

← #14968718

Subgroups — #14968718

Order 2816.

1434 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077006C211yesmaximal, characteristic, complemented
2#13077006C211yesmaximal, characteristic, complemented
3#13076462C211yesmaximal, characteristic, complemented
4#13076273C211yesmaximal, characteristic, complemented
5#13076249C211yesmaximal, characteristic, complemented
6#13076230C211yesmaximal, characteristic
7#13076165C211yesmaximal, characteristic, complemented
8#13076126C211yesmaximal, characteristic, complemented
9#13076072C211yesmaximal, characteristic, complemented
10#13076071C211yesmaximal, characteristic, complemented
11#13075939C211yesmaximal, characteristic
12#13075814C211yesmaximal, characteristic, complemented
13#13075811C211yesmaximal, characteristic, complemented
14#13075811C211yesmaximal, characteristic, complemented
15#13075795C211yesmaximal, characteristic, complemented
16#13075754C211yesmaximal, characteristic, complemented
17#13075737C211yesmaximal, characteristic, complemented
18#13075708C211yesmaximal, characteristic, complemented
19#13074715C211yesmaximal, characteristic, complemented
20#13074655C211yesmaximal, characteristic, complemented
21#13074222C211yesmaximal, characteristic
22#13074129C211yesmaximal, characteristic, complemented
23#13073912C211yesmaximal, characteristic, complemented
24#13073500C211yesmaximal, characteristic, complemented
25#13073470C211yesmaximal, characteristic, complemented
26#13073060C211yesmaximal, characteristic, complemented
27#13072914C211yesmaximal, characteristic, complemented
28#13071402C211yesmaximal, characteristic, complemented
29#13071250C211yesmaximal, characteristic, complemented
30#13071112C211yesmaximal, characteristic, complemented
31C11×#2569C211yesmaximal, characteristic, complemented
32C2×#66982C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×#66979C2211yescharacteristic
35C11×#400C2211yescharacteristic
36C11×#400C2211yescharacteristic
37C11×#398C2211yescharacteristic
38C11×#398C2211yescharacteristic
39C11×#387C2211yescharacteristic
40C11×#387C2211yescharacteristic
41C11×#387C2211yescharacteristic
42C11×#387C2211yescharacteristic
43C11×#385C2211yescharacteristic
44C11×#385C2211yescharacteristic
45C11×#380C2211yescharacteristic
46C11×#380C2211yescharacteristic
47C11×#380C2211yescharacteristic
48C4×C11×C22⋊C4C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50#10622826C2211yescharacteristic
51#10622826C2211yescharacteristic
52#10622826C2211yescharacteristic
53#10622826C2211yescharacteristic
54#10622825C2211yescharacteristic
55#10622825C2211yescharacteristic
56#10622823C2211yescharacteristic
57#10622823C2211yescharacteristic
58C4×C22⋊Dic11C2211yescharacteristic
59#10622607C2211yescharacteristic
60#10622607C2211yescharacteristic
61#10622606C2211yescharacteristic
62#10622605C2211yescharacteristic
63#10622605C2211yescharacteristic
64#10622604C2211yescharacteristic
65#10622604C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622603C2211yescharacteristic
69#10622603C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622600C2211yescharacteristic
75#10622600C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622599C2211yescharacteristic
78#10622599C2211yescharacteristic
79#10622599C2211yescharacteristic
80#10622598C2211yescharacteristic
81#10622598C2211yescharacteristic
82#10622598C2211yescharacteristic
83#10622597C2211yescharacteristic
84#10622597C2211yescharacteristic
85#10622597C2211yescharacteristic
86#10622597C2211yescharacteristic
87#10622595C2211yescharacteristic
88#10622595C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96#10622590C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622573C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622566C2211yescharacteristic
107#10622566C2211yescharacteristic
108#10622566C2211yescharacteristic
109#10622558C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622557C2211yescharacteristic
113#10622557C2211yescharacteristic
114#10622557C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622552C2211yescharacteristic
118#10622545C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122#10622541C2211yescharacteristic
123#10622290C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622288C2211yescharacteristic
126#10622288C2211yescharacteristic
127#10622287C2211yescharacteristic
128#10622287C2211yescharacteristic
129#10622287C2211yescharacteristic
130#10622285C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622277C2211yescharacteristic
151#10622277C2211yescharacteristic
152C11⋊#401C2211yescharacteristic
153C11⋊#401C2211yescharacteristic
154#10622274C2211yescharacteristic
155#10622274C2211yescharacteristic
156#10622274C2211yescharacteristic
157#10622274C2211yescharacteristic
158#10622273C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622273C2211yescharacteristic
161#10622273C2211yescharacteristic
162#10622273C2211yescharacteristic
163#10622272C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622268C2211yescharacteristic
167#10622267C2211yescharacteristic
168#10622267C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622264C2211yescharacteristic
184#10622264C2211yescharacteristic
185#10622263C2211yescharacteristic
186#10622262C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
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×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C22⋊Dic11C2311yescharacteristic
212C2×C22⋊Dic11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217#66982—24no—
218C4×C22⋊D11—24no—
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
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
243#66979—24no—
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
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
345#37012—111nomaximal, Sylow
346C24×C11C2411yescharacteristic
347C23×D11C2411yescharacteristic
348C23×D11C2411yescharacteristic
349C22×C4×C11—41no—
350C22×C4×C11—41no—
351C22×C4×C11—41no—
352C22×C4×C11—41no—
353C22×C4×C11—41no—
354C22×C4×C11—41no—
355C22×C4×C11—41no—
356C22×C4×C11—41no—
357C22×C4×C11#4114yes—
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×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C2×C22⋊D11—22no—
373C2×C22⋊D11—22no—
374C2×C22⋊D11—41no—
375C2×C22⋊D11—41no—
376C2×C22⋊D11—41no—
377C2×C22⋊D11—41no—
378C22×Dic11C2411yescharacteristic
379C22×Dic11C2411yescharacteristic
380C22×Dic11C2411yescharacteristic
381C22×Dic11C2411yescharacteristic
382C22×Dic11C2411yescharacteristic
383C22×Dic11C2411yescharacteristic
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C2×D44—41no—
393C2×D44—41no—
394C2×D44—41no—
395C2×C4×D11—22no—
396C2×C4×D11—41no—
397C2×C4×D11—41no—
398C2×C4×D11—41no—
399C2×C4×D11—41no—
400C2×C4×D11—41no—
401C11×C4⋊C4—41no—
402C11×C4⋊C4—41no—
403C11×C4⋊C4—41no—
404C11×C4⋊C4—41no—
405C11×C4⋊C4—41no—
406C11×C4⋊C4—41no—
407C11×C4⋊C4—41no—
408C11×C4⋊C4—41no—
409C11×C4⋊C4—41no—
410C11×C4⋊C4—41no—
411C11×C22⋊C4—41no—
412C11×C22⋊C4—41no—
413C11×C22⋊C4—41no—
414C11×C22⋊C4—41no—
415C42×C11—41no—
416C42×C11—41no—
417C22⋊Dic11—22no—
418C22⋊Dic11—22no—
419C22⋊Dic11—22no—
420C22⋊Dic11—22no—
421C22⋊Dic11—41no—
422C22⋊Dic11—41no—
423(C2×D11)⋊C4—22no—
424(C2×D11)⋊C4—22no—
425(C2×D11)⋊C4—22no—
426(C2×D11)⋊C4—41no—
427(C2×D11)⋊C4—41no—
428(C2×D11)⋊C4—41no—
429(C2×D11)⋊C4—41no—
430(C2×D11)⋊C4—41no—
431(C2×D11)⋊C4—41no—
432(C2×D11)⋊C4—41no—
433(C2×D11)⋊C4—41no—
434(C2×D11)⋊C4—41no—
435(C2×D11)⋊C4—41no—
436(C2×D11)⋊C4—41no—
437(C2×D11)⋊C4—41no—
438(C2×D11)⋊C4—41no—
439(C2×D11)⋊C4—41no—
440(C2×D11)⋊C4—41no—
441(C2×D11)⋊C4—41no—
442(C2×D11)⋊C4—41no—
443(C2×D11)⋊C4—41no—
444(C2×D11)⋊C4—41no—
445(C2×D11)⋊C4—41no—
446(C2×D11)⋊C4—41no—
447C4⋊Dic11—22no—
448C4⋊Dic11—22no—
449C4⋊Dic11—41no—
450C4⋊Dic11—41no—
451C4⋊Dic11—41no—
452C4⋊Dic11—41no—
453C4⋊Dic11—41no—
454C4⋊Dic11—41no—
455C4⋊Dic11—41no—
456C4⋊Dic11—41no—
457C4⋊Dic11—41no—
458C4⋊Dic11—41no—
459C4⋊Dic11—41no—
460Dic11⋊C4—22no—
461Dic11⋊C4—22no—
462Dic11⋊C4—22no—
463Dic11⋊C4—41no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470Dic11⋊C4—41no—
471Dic11⋊C4—41no—
472Dic11⋊C4—41no—
473Dic11⋊C4—41no—
474C4×Dic11—22no—
475C4×Dic11—22no—
476C4×Dic11—22no—
477C4×Dic11—41no—
478C4×Dic11—41no—
479C4×Dic11—41no—
480C4×Dic11—41no—
481C4×Dic11—41no—
482C4×Dic11—41no—
483C4×Dic11—41no—
484C4×Dic11—41no—
485C4×Dic11—41no—
486#2865—111no—
487#2865—111no—
488#2796—111no—
489#2781—111no—
490#2779—111no—
491#2778—111no—
492#2773—111no—
493#2770—111no—
494#2766—111no—
495#2766—111no—
496#2756—111no—
497#2747—111no—
498#2747—111no—
499#2747—111no—
500#2746—111no—
501#2743—111no—
502#2741—111no—
503#2739—111no—
504#2655—111no—
505#2651—111no—
506#2602—111no—
507#2594—111no—
508#2575—111no—
509#2569D1111yescharacteristic, complemented
510#2533—111no—
511#2531—111no—
512#2498—111no—
513#2485—111no—
514#2335—111no—
515#2318—111no—
516#2298—111no—
517C23×C11—21no—
518C23×C11—21no—
519C23×C11—21no—
520C23×C11—21no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11C2×#4112yes—
524C23×C11C2511yescharacteristic
525C22×D11—21no—
526C22×D11—21no—
527C22×D11—21no—
528C22×D11—21no—
529C22×D11—21no—
530C22×D11—21no—
531C22×D11—21no—
532C22×D11—21no—
533C22×D11—21no—
534C22×D11—21no—
535C22×D11—21no—
536C22×D11—21no—
537C22×D11—21no—
538C22×D11—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×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—44no—
580C2×C4×C11—82no—
581C2×C4×C11—82no—
582C2×C4×C11C2×#4112yes—
583C2×C4×C11C2×#4112yes—
584C22⋊D11—44no—
585C22⋊D11—82no—
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×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—
628D44—82no—
629C4×D11—82no—
630C4×D11—82no—
631C2×#123—111no—
632C2×C4×D4—111no—
633C2×#117—111no—
634#401—111no—
635#401—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#400C2×D1111yescharacteristic
648#400C2×D1111yescharacteristic
649#399—111no—
650#399—111no—
651#399—111no—
652#398—111no—
653#398—111no—
654#398—111no—
655#398—111no—
656#398—111no—
657#398—111no—
658#398—111no—
659#398—111no—
660#398C2×D1111yescharacteristic
661#398C2×D1111yescharacteristic
662#397—111no—
663#397—111no—
664#397—111no—
665#397—111no—
666#397—111no—
667#397—111no—
668#397—111no—
669#397—111no—
670#397—111no—
671#397—111no—
672#396—111no—
673#396—111no—
674#394—111no—
675#394—111no—
676#394—111no—
677#394—111no—
678#394—111no—
679#394—111no—
680#394—111no—
681#392—111no—
682#390—111no—
683#390—111no—
684#389—111no—
685#389—111no—
686#389—111no—
687#389—111no—
688#389—111no—
689#389—111no—
690#388—111no—
691#388—111no—
692#388—111no—
693#388—111no—
694#388—111no—
695#388—111no—
696#388—111no—
697#388—111no—
698#388—111no—
699#388—111no—
700#388—111no—
701#388—111no—
702#388—111no—
703#388—111no—
704#388—111no—
705#388—111no—
706#388—111no—
707#388—111no—
708#388—111no—
709#388—111no—
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#387—111no—
719#387—111no—
720#387—111no—
721#387—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387C2×D1111yescharacteristic
745#387C2×D1111yescharacteristic
746#387C2×D1111yescharacteristic
747#387C2×D1111yescharacteristic
748#386—111no—
749#386—111no—
750#386—111no—
751#386—111no—
752#386—111no—
753#386—111no—
754#386—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385—111no—
759#385—111no—
760#385C2×D1111yescharacteristic
761#385C2×D1111yescharacteristic
762#383—111no—
763#383—111no—
764#382—111no—
765#382—111no—
766#381—111no—
767#381—111no—
768#380—111no—
769#380—111no—
770#380—111no—
771#380—111no—
772#380—111no—
773#380—111no—
774#380C2×D1111yescharacteristic
775#380C2×D1111yescharacteristic
776#380C2×D1111yescharacteristic
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C22⋊C4—111no—
781C4×C22⋊C4—111no—
782C4×C22⋊C4C2×D1111yescharacteristic
783#376—111no—
784C2×#95C2×D1111yescharacteristic
785C43—111no—
786C22×C11—22no—
787C22×C11—22no—
788C22×C11—22no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11C22×#4111yescharacteristic
794C22×C11#58511yescharacteristic
795C22×C11#58511yescharacteristic
796C22×C11#58511yescharacteristic
797C22×C11#58511yescharacteristic
798C22×C11#58511yescharacteristic
799C22×C11#58511yescharacteristic
800C2×D11—41no—
801C2×D11—41no—
802C2×D11—41no—
803C2×D11—41no—
804C2×D11—41no—
805C2×D11—41no—
806C2×D11—41no—
807C2×D11—41no—
808C2×D11—41no—
809C2×D11—41no—
810C2×D11—41no—
811C2×D11—41no—
812C2×D11—41no—
813C2×D11—41no—
814C4×C11—22no—
815C4×C11—22no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826C4×C11—41no—
827C4×C11—41no—
828Dic11—41no—
829Dic11—41no—
830Dic11—41no—
831Dic11—41no—
832Dic11—41no—
833Dic11—41no—
834Dic11—41no—
835Dic11—41no—
836Dic11—41no—
837Dic11—41no—
838Dic11—41no—
839Dic11—41no—
840Dic11—41no—
841Dic11—41no—
842C22×D4—111no—
843C22×D4—111no—
844C22×D4—111no—
845C23×C4—111no—
846C23×C4—111no—
847C23×C4C22×D1111yescharacteristic
848C23×C4C22×D1111yescharacteristic
849C23×C4C22×D1111yescharacteristic
850#123—224no—
851C4×D4—224no—
852#117—224no—
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⋊C4—111no—
861C2×C4⋊C4—111no—
862C2×C4⋊C4—111no—
863C2×C4⋊C4—111no—
864C2×C4⋊C4—111no—
865C2×C4⋊C4—111no—
866C2×C4⋊C4—111no—
867C2×C4⋊C4—111no—
868C2×C4⋊C4—111no—
869C2×C4⋊C4—111no—
870C2×C4⋊C4—111no—
871C2×C4⋊C4—111no—
872C2×C4⋊C4—111no—
873C2×C4⋊C4—111no—
874C2×C4⋊C4—111no—
875C2×C4⋊C4—111no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4C22×D1111yescharacteristic
881C2×C4⋊C4C22×D1111yescharacteristic
882C2×C4⋊C4C22×D1111yescharacteristic
883C2×C4⋊C4C22×D1111yescharacteristic
884C2×C4⋊C4C22×D1111yescharacteristic
885C2×C4⋊C4C22×D1111yescharacteristic
886C2×C4⋊C4C22×D1111yescharacteristic
887C2×C4⋊C4C22×D1111yescharacteristic
888C2×C4⋊C4C22×D1111yescharacteristic
889C2×C4⋊C4C22×D1111yescharacteristic
890C2×C22⋊C4—111no—
891C2×C22⋊C4—111no—
892C2×C22⋊C4—111no—
893C2×C22⋊C4—111no—
894C2×C22⋊C4—111no—
895C2×C22⋊C4—111no—
896C2×C22⋊C4—111no—
897C2×C22⋊C4—111no—
898C2×C22⋊C4—111no—
899C2×C22⋊C4—111no—
900C2×C22⋊C4—111no—
901C2×C22⋊C4—111no—
902C2×C22⋊C4—111no—
903C2×C22⋊C4—111no—
904C2×C22⋊C4—111no—
905C2×C22⋊C4—111no—
906C2×C22⋊C4—111no—
907C2×C22⋊C4—111no—
908C2×C22⋊C4—111no—
909C2×C22⋊C4—111no—
910C2×C22⋊C4—111no—
911C2×C22⋊C4—111no—
912C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
921C2×C22⋊C4C22×D1111yescharacteristic
922C2×C22⋊C4C22×D1111yescharacteristic
923C2×C22⋊C4C22×D1111yescharacteristic
924C2×C42—111no—
925C2×C42—111no—
926C2×C42—111no—
927C2×C42—111no—
928C2×C42—111no—
929C2×C42—111no—
930C2×C42—111no—
931C2×C42—111no—
932C2×C42—111no—
933C2×C42—111no—
934C2×C42—111no—
935C2×C42—111no—
936C2×C42C22×D1111yescharacteristic
937C2×C42C22×D1111yescharacteristic
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#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
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#95C22×D1111yescharacteristic
985#95C22×D1111yescharacteristic
986#95C22×D1111yescharacteristic
987#95C22×D1111yescharacteristic
988#95C22×D1111yescharacteristic
989#95C22×D1111yescharacteristic
990#95C22×D1111yescharacteristic
991#95C22×D1111yescharacteristic
992#95C22×D1111yescharacteristic
993#95C22×D1111yescharacteristic
994#95C22×D1111yescharacteristic
995#95C22×D1111yescharacteristic
996#95C22×D1111yescharacteristic
997#95C22×D1111yescharacteristic
998#95C22×D1111yescharacteristic
999#95C22×D1111yescharacteristic
1000C2×C11—42no—
1001C2×C11#345511yescharacteristic
1002C2×C11#349111yescharacteristic
1003C2×C11#351211yescharacteristic
1004C2×C11#356611yescharacteristic
1005C2×C11#356611yescharacteristic
1006C2×C11#356611yescharacteristic
1007C2×C11#356611yescharacteristic
1008D11—81no—
1009D11—81no—
1010C24—111no—
1011C24—111no—
1012C24C23×D1111yescharacteristic
1013C2×D4—222no—
1014C2×D4—222no—
1015C2×D4—441no—
1016C2×D4—441no—
1017C2×D4—441no—
1018C2×D4—441no—
1019C2×D4—441no—
1020C2×D4—441no—
1021C2×D4—441no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—111no—
1031C22×C4—111no—
1032C22×C4—111no—
1033C22×C4—111no—
1034C22×C4—111no—
1035C22×C4—111no—
1036C22×C4—111no—
1037C22×C4—111no—
1038C22×C4—111no—
1039C22×C4—111no—
1040C22×C4—111no—
1041C22×C4—111no—
1042C22×C4—111no—
1043C22×C4—111no—
1044C22×C4—222no—
1045C22×C4—441no—
1046C22×C4—441no—
1047C22×C4—441no—
1048C22×C4—441no—
1049C22×C4—441no—
1050C22×C4#434314yes—
1051C22×C4C23×D1111yescharacteristic
1052C22×C4C23×D1111yescharacteristic
1053C22×C4C23×D1111yescharacteristic
1054C22×C4C23×D1111yescharacteristic
1055C22×C4C23×D1111yescharacteristic
1056C22×C4C23×D1111yescharacteristic
1057C22×C4C23×D1111yescharacteristic
1058C22×C4C23×D1111yescharacteristic
1059C22×C4C23×D1111yescharacteristic
1060C22×C4C23×D1111yescharacteristic
1061C22×C4C23×D1111yescharacteristic
1062C22×C4C23×D1111yescharacteristic
1063C22×C4C23×D1111yescharacteristic
1064C22×C4C23×D1111yescharacteristic
1065C4⋊C4—41no—
1066C4⋊C4—41no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—222no—
1076C4⋊C4—222no—
1077C4⋊C4—222no—
1078C4⋊C4—222no—
1079C4⋊C4—222no—
1080C4⋊C4—441no—
1081C4⋊C4—441no—
1082C4⋊C4—441no—
1083C4⋊C4—441no—
1084C4⋊C4—441no—
1085C4⋊C4—441no—
1086C4⋊C4—441no—
1087C4⋊C4—441no—
1088C4⋊C4—441no—
1089C4⋊C4—441no—
1090C4⋊C4—441no—
1091C4⋊C4—441no—
1092C4⋊C4—441no—
1093C4⋊C4—441no—
1094C4⋊C4—441no—
1095C4⋊C4—441no—
1096C4⋊C4—441no—
1097C4⋊C4—441no—
1098C4⋊C4—441no—
1099C4⋊C4—441no—
1100C4⋊C4—441no—
1101C4⋊C4—441no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4—222no—
1107C22⋊C4—222no—
1108C22⋊C4—222no—
1109C22⋊C4—222no—
1110C22⋊C4—222no—
1111C22⋊C4—222no—
1112C22⋊C4—222no—
1113C22⋊C4—441no—
1114C22⋊C4—441no—
1115C22⋊C4—441no—
1116C22⋊C4—441no—
1117C22⋊C4—441no—
1118C22⋊C4—441no—
1119C22⋊C4—441no—
1120C22⋊C4—441no—
1121C22⋊C4—441no—
1122C22⋊C4—441no—
1123C22⋊C4—441no—
1124C22⋊C4—441no—
1125C22⋊C4—441no—
1126C22⋊C4—441no—
1127C22⋊C4—441no—
1128C22⋊C4—441no—
1129C22⋊C4—441no—
1130C22⋊C4—441no—
1131C22⋊C4—441no—
1132C22⋊C4—441no—
1133C22⋊C4—441no—
1134C22⋊C4—441no—
1135C22⋊C4—441no—
1136C42—41no—
1137C42—41no—
1138C42—222no—
1139C42—222no—
1140C42—222no—
1141C42—441no—
1142C42—441no—
1143C42—441no—
1144C42—441no—
1145C42—441no—
1146C42—441no—
1147C42—441no—
1148C42—441no—
1149C42—441no—
1150C11#3701211yescharacteristic, complemented, Sylow
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—221no—
1158C23—221no—
1159C23—221no—
1160C23—221no—
1161C23—221no—
1162C23—221no—
1163C23—221no—
1164C23—221no—
1165C23—221no—
1166C23—221no—
1167C23—221no—
1168C23—221no—
1169C23—221no—
1170C23—221no—
1171C23C2×#434312yes—
1172C23C24×D1111yescharacteristic
1173D4—444no—
1174D4—882no—
1175D4—882no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
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—44no—
1217C2×C4—82no—
1218C2×C4—82no—
1219C2×C4—221no—
1220C2×C4—221no—
1221C2×C4—221no—
1222C2×C4—221no—
1223C2×C4—221no—
1224C2×C4—221no—
1225C2×C4—221no—
1226C2×C4—221no—
1227C2×C4—221no—
1228C2×C4—221no—
1229C2×C4—221no—
1230C2×C4—221no—
1231C2×C4—221no—
1232C2×C4—221no—
1233C2×C4—221no—
1234C2×C4—221no—
1235C2×C4—221no—
1236C2×C4—221no—
1237C2×C4—221no—
1238C2×C4—221no—
1239C2×C4—221no—
1240C2×C4—221no—
1241C2×C4—221no—
1242C2×C4—221no—
1243C2×C4—221no—
1244C2×C4—221no—
1245C2×C4—221no—
1246C2×C4—221no—
1247C2×C4—221no—
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—882no—
1262C2×C4—882no—
1263C2×C4C2×#434312yes—
1264C2×C4C2×#434312yes—
1265C22—22no—
1266C22—22no—
1267C22—22no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22—441no—
1273C22—441no—
1274C22—441no—
1275C22—441no—
1276C22—441no—
1277C22—441no—
1278C22—441no—
1279C22—441no—
1280C22—441no—
1281C22—441no—
1282C22—441no—
1283C22—441no—
1284C22—441no—
1285C22—441no—
1286C22C22×#434311yescharacteristic
1287C22#1062345311yescharacteristic
1288C22#1062345311yescharacteristic
1289C22#1062345311yescharacteristic
1290C22#1062345311yescharacteristic
1291C22#1062345511yescharacteristic
1292C22#1062345511yescharacteristic
1293C4—22no—
1294C4—22no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—441no—
1308C4—441no—
1309C4—441no—
1310C4—441no—
1311C4—441no—
1312C4—441no—
1313C4—441no—
1314C4—441no—
1315C4—441no—
1316C4—441no—
1317C4—441no—
1318C4—441no—
1319C4—441no—
1320C4—441no—
1321C2—42no—
1322C2—881no—
1323C2—881no—
1324C2#1308200811yescharacteristic
1325C2#1308231511yescharacteristic
1326C2#1308254011yescharacteristic
1327C2#1308327411yescharacteristic
1328C2#1308327711yescharacteristic
1329C2#1308329011yescharacteristic
1330C2#1308329311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2569C2
prime radical#10622573C22
hypercenter#2569D11
hypocenterC11#37012
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. #13077006C2semidirect
2. #13077006C2semidirect
3. #13076462C2semidirect
4. #13076273C2semidirect
5. #13076249C2semidirect
7. #13076165C2semidirect
8. #13076126C2semidirect
9. #13076072C2semidirect
10. #13076071C2semidirect
12. #13075814C2semidirect
13. #13075811C2semidirect
14. #13075811C2semidirect
15. #13075795C2semidirect
16. #13075754C2semidirect
17. #13075737C2semidirect
18. #13075708C2semidirect
19. #13074715C2semidirect
20. #13074655C2semidirect
22. #13074129C2semidirect
23. #13073912C2semidirect
24. #13073500C2semidirect
25. #13073470C2semidirect
26. #13073060C2semidirect
27. #13072914C2semidirect
28. #13071402C2semidirect
29. #13071250C2semidirect
30. #13071112C2semidirect
31. C11×#2569C2semidirect
509. #2569D11semidirect
1150. C11#37012semidirect

Maximal subgroups

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

subgroupindex
#130770062
#130764622
#130762732
#130762492
#130762302
#130761652
#130761262
#130760722
#130760712
#130759392
#130758142
#130758112
#130757952
#130757542
#130757372
#130757082
#130747152
#130746552
#130742222
#130741292
#130739122
#130735002
#130734702
#130730602
#130729142
#130714022
#130712502
#130711122
C11×#25692
#3701211