Finite Group Databasebeta

← #14960369

Subgroups — #14960369

Order 2816.

1474 conjugacy classes of subgroups.

The subgroup lattice has 1286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076890C211yesmaximal, characteristic, complemented
2#13076890C211yesmaximal, characteristic, complemented
3#13076889C211yesmaximal, characteristic, complemented
4#13076887C211yesmaximal, characteristic, complemented
5#13076886C211yesmaximal, characteristic, complemented
6#13076884C211yesmaximal, characteristic, complemented
7#13076884C211yesmaximal, characteristic, complemented
8#13076882C211yesmaximal, characteristic, complemented
9#13076878C211yesmaximal, characteristic
10#13076877C211yesmaximal, characteristic
11#13076877C211yesmaximal, characteristic
12#13076876C211yesmaximal, characteristic
13#13076873C211yesmaximal, characteristic
14#13076871C211yesmaximal, characteristic
15#13076871C211yesmaximal, characteristic
16#13071922C211yesmaximal, characteristic, complemented
17#13071922C211yesmaximal, characteristic, complemented
18#13071920C211yesmaximal, characteristic, complemented
19#13071920C211yesmaximal, characteristic, complemented
20#13071908C211yesmaximal, characteristic, complemented
21#13071908C211yesmaximal, characteristic, complemented
22#13071906C211yesmaximal, characteristic, complemented
23#13071906C211yesmaximal, characteristic, complemented
24#13071891C211yesmaximal, characteristic
25#13071891C211yesmaximal, characteristic
26#13071885C211yesmaximal, characteristic
27#13071883C211yesmaximal, characteristic
28#13071018C211yesmaximal, characteristic
29#13071011C211yesmaximal, characteristic
30#13071007C211yesmaximal, characteristic
31C11×#2841C211yesmaximal, characteristic
32C2×Q8×Dic11C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34C2×#66940C2211yescharacteristic
35C2×#66940C2211yescharacteristic
36C2×#66940C2211yescharacteristic
37C2×#66930C2211yescharacteristic
38C2×#66930C2211yescharacteristic
39C11×#400C2211yescharacteristic
40C11×#400C2211yescharacteristic
41C11×#399C2211yescharacteristic
42C11×#398C2211yescharacteristic
43C11×#398C2211yescharacteristic
44C11×#398C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#396C2211yescharacteristic
47C11×#396C2211yescharacteristic
48C11×#395C2211yescharacteristic
49C11×#395C2211yescharacteristic
50C11×#393C2211yescharacteristic
51C11×#381C2211yescharacteristic
52C11×#380C2211yescharacteristic
53C11×#380C2211yescharacteristic
54#10622842C2211yescharacteristic
55#10622842C2211yescharacteristic
56#10622842C2211yescharacteristic
57#10622825C2211yescharacteristic
58#10622825C2211yescharacteristic
59#10622824C2211yescharacteristic
60#10622599C2211yescharacteristic
61#10622599C2211yescharacteristic
62#10622597C2211yescharacteristic
63#10622597C2211yescharacteristic
64#10622597C2211yescharacteristic
65#10622597C2211yescharacteristic
66#10622597C2211yescharacteristic
67#10622597C2211yescharacteristic
68#10622597C2211yescharacteristic
69#10622597C2211yescharacteristic
70#10622597C2211yescharacteristic
71#10622597C2211yescharacteristic
72#10622596C2211yescharacteristic
73#10622596C2211yescharacteristic
74#10622596C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622593C2211yescharacteristic
83#10622593C2211yescharacteristic
84#10622593C2211yescharacteristic
85#10622593C2211yescharacteristic
86#10622593C2211yescharacteristic
87#10622592C2211yescharacteristic
88#10622592C2211yescharacteristic
89#10622592C2211yescharacteristic
90#10622592C2211yescharacteristic
91#10622592C2211yescharacteristic
92#10622592C2211yescharacteristic
93#10622592C2211yescharacteristic
94#10622592C2211yescharacteristic
95#10622590C2211yescharacteristic
96#10622590C2211yescharacteristic
97#10622589C2211yescharacteristic
98#10622589C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102C4⋊C4×Dic11C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104C4⋊C4×Dic11C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107C4⋊C4×Dic11C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109#10622562C2211yescharacteristic
110#10622562C2211yescharacteristic
111#10622562C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622561C2211yescharacteristic
115#10622561C2211yescharacteristic
116#10622561C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622560C2211yescharacteristic
119#10622560C2211yescharacteristic
120#10622560C2211yescharacteristic
121#10622556C2211yescharacteristic
122#10622556C2211yescharacteristic
123#10622555C2211yescharacteristic
124#10622555C2211yescharacteristic
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131#10622274C2211yescharacteristic
132#10622274C2211yescharacteristic
133#10622274C2211yescharacteristic
134#10622274C2211yescharacteristic
135#10622273C2211yescharacteristic
136#10622273C2211yescharacteristic
137#10622273C2211yescharacteristic
138#10622273C2211yescharacteristic
139#10622272C2211yescharacteristic
140#10622272C2211yescharacteristic
141#10622272C2211yescharacteristic
142#10622271C2211yescharacteristic
143#10622271C2211yescharacteristic
144#10622271C2211yescharacteristic
145#10622271C2211yescharacteristic
146#10622271C2211yescharacteristic
147#10622271C2211yescharacteristic
148#10622270C2211yescharacteristic
149#10622270C2211yescharacteristic
150#10622270C2211yescharacteristic
151#10622270C2211yescharacteristic
152#10622270C2211yescharacteristic
153#10622270C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622270C2211yescharacteristic
158#10622269C2211yescharacteristic
159#10622269C2211yescharacteristic
160#10622269C2211yescharacteristic
161#10622269C2211yescharacteristic
162#10622269C2211yescharacteristic
163#10622269C2211yescharacteristic
164#10622269C2211yescharacteristic
165#10622264C2211yescharacteristic
166#10622264C2211yescharacteristic
167#10622264C2211yescharacteristic
168#10622264C2211yescharacteristic
169#10622263C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622261C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×Dic22C2311yescharacteristic
192C22×Dic22C2311yescharacteristic
193C22×Dic22C2311yescharacteristic
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×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219Q8×Dic11—42no—
220C2×C4⋊Dic11C2311yescharacteristic
221C2×C4⋊Dic11C2311yescharacteristic
222C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×C4×Dic11Q818yescomplemented
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280#66940—42no—
281#66940—42no—
282#66940—42no—
283#66930—42no—
284#66930—42no—
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
349#36691—111nomaximal, Sylow
350C24×C11C2411yescharacteristic
351C2×Q8×C11—41no—
352C2×Q8×C11—41no—
353C2×Q8×C11—41no—
354C22×C4×C11—41no—
355C22×C4×C11—41no—
356C22×C4×C11C2×Q814yes—
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×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×Dic11—22no—
372C22×Dic11—22no—
373C22×Dic11—41no—
374C22×Dic11—41no—
375C22×Dic11C2×Q814yes—
376C22×Dic11C2×Q814yes—
377C22×Dic11C2411yescharacteristic
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
392C22×Dic11C2411yescharacteristic
393C2×Dic22—41no—
394C2×Dic22—41no—
395C2×Dic22—41no—
396C2×Dic22—41no—
397C2×Dic22—41no—
398C2×Dic22—41no—
399C2×Dic22—41no—
400C2×Dic22—41no—
401C2×Dic22—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×C4⋊C4—41no—
412C11×C4⋊C4—41no—
413C11×C4⋊C4—41no—
414C11×C4⋊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—
421C22⋊Dic11—41no—
422C22⋊Dic11—41no—
423C22⋊Dic11—41no—
424C22⋊Dic11—41no—
425C22⋊Dic11—41no—
426C22⋊Dic11—41no—
427C4⋊Dic11—41no—
428C4⋊Dic11—41no—
429C4⋊Dic11—41no—
430C4⋊Dic11—41no—
431C4⋊Dic11—41no—
432C4⋊Dic11—41no—
433C4⋊Dic11—41no—
434C4⋊Dic11—41no—
435C4⋊Dic11—41no—
436C4⋊Dic11—41no—
437C4⋊Dic11—41no—
438C4⋊Dic11—41no—
439C4⋊Dic11—41no—
440Dic11⋊C4—41no—
441Dic11⋊C4—41no—
442Dic11⋊C4—41no—
443Dic11⋊C4—41no—
444Dic11⋊C4—41no—
445Dic11⋊C4—41no—
446Dic11⋊C4—41no—
447Dic11⋊C4—41no—
448Dic11⋊C4—41no—
449Dic11⋊C4—41no—
450Dic11⋊C4—41no—
451Dic11⋊C4—41no—
452Dic11⋊C4—41no—
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—
463Dic11⋊C4—41no—
464Dic11⋊C4—41no—
465Dic11⋊C4—41no—
466Dic11⋊C4—41no—
467Dic11⋊C4—41no—
468Dic11⋊C4—41no—
469Dic11⋊C4—41no—
470C4×Dic11—22no—
471C4×Dic11—22no—
472C4×Dic11—22no—
473C4×Dic11—22no—
474C4×Dic11—22no—
475C4×Dic11—22no—
476C4×Dic11—22no—
477C4×Dic11—22no—
478C4×Dic11—22no—
479C4×Dic11—22no—
480C4×Dic11—22no—
481C4×Dic11—22no—
482C4×Dic11C2×Q814yes—
483C4×Dic11C2×Q814yes—
484C4×Dic11C2×Q814yes—
485C4×Dic11C2×Q814yes—
486#2845—111no—
487#2845—111no—
488#2844—111no—
489#2844—111no—
490#2843—111no—
491#2843—111no—
492#2843—111no—
493#2843—111no—
494#2841—111no—
495#2841—111no—
496#2841—111no—
497#2841—111no—
498#2841—111no—
499#2841—111no—
500#2841—111no—
501#2841D1111yescharacteristic
502#2402—111no—
503#2402—111no—
504#2402—111no—
505#2402—111no—
506#2399—111no—
507#2399—111no—
508#2399—111no—
509#2399—111no—
510#2396—111no—
511#2396—111no—
512#2396—111no—
513#2396—111no—
514#2285—111no—
515#2283—111no—
516#2283—111no—
517C23×C11—21no—
518C23×C11—21no—
519C23×C11—21no—
520C23×C11—21no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11C22×Q812yes—
524C23×C11C2511yescharacteristic
525Q8×C11—44no—
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×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—44no—
567C2×C4×C11C22×Q812yes—
568C2×C4×C11C22×Q812yes—
569C2×Dic11—21no—
570C2×Dic11—21no—
571C2×Dic11—21no—
572C2×Dic11—21no—
573C2×Dic11—21no—
574C2×Dic11—21no—
575C2×Dic11—28no—
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×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—44no—
613C2×Dic11C22×Q812yes—
614C2×Dic11C22×Q812yes—
615C2×Dic11C22×Q812yes—
616C2×Dic11C22×Q812yes—
617C2×Dic11H(5,𝔽2)12yes—
618C2×Dic112−1+412yes—
619Dic22—44no—
620Dic22—44no—
621Dic22—44no—
622C2×C4×Q8—111no—
623C2×C4×Q8—111no—
624C2×C4×Q8—111no—
625C2×C4×Q8—111no—
626C2×#117—111no—
627C2×#117—111no—
628C22×C42—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#400C2×D1111yescharacteristic
648#400C2×D1111yescharacteristic
649#399—111no—
650#399—111no—
651#399—111no—
652#399C2×D1111yescharacteristic
653#398—111no—
654#398—111no—
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#398—111no—
668#398—111no—
669#398—111no—
670#398—111no—
671#398—111no—
672#398—111no—
673#398—111no—
674#398—111no—
675#398—111no—
676#398—111no—
677#398—111no—
678#398—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#398C2×D1111yescharacteristic
690#398C2×D1111yescharacteristic
691#398C2×D1111yescharacteristic
692#398C2×D1111yescharacteristic
693#396—111no—
694#396—111no—
695#396—111no—
696#396—111no—
697#396—111no—
698#396—111no—
699#396C2×D1111yescharacteristic
700#396C2×D1111yescharacteristic
701#395—111no—
702#395—111no—
703#395—111no—
704#395—111no—
705#395—111no—
706#395—111no—
707#395—111no—
708#395—111no—
709#395—111no—
710#395—111no—
711#395—111no—
712#395—111no—
713#395—111no—
714#395—111no—
715#395—111no—
716#395—111no—
717#395—111no—
718#395—111no—
719#395C2×D1111yescharacteristic
720#395C2×D1111yescharacteristic
721#393—111no—
722#393—111no—
723#393—111no—
724#393C2×D1111yescharacteristic
725#384—111no—
726#384—111no—
727#383—111no—
728#383—111no—
729#383—111no—
730#383—111no—
731#382—111no—
732#382—111no—
733#382—111no—
734#382—111no—
735#382—111no—
736#382—111no—
737#381—111no—
738#381—111no—
739#381—111no—
740#381C2×D1111yescharacteristic
741#380—111no—
742#380—111no—
743#380—111no—
744#380—111no—
745#380—111no—
746#380—111no—
747#380C2×D1111yescharacteristic
748#380C2×D1111yescharacteristic
749C4×C4⋊C4—111no—
750C4×C4⋊C4—111no—
751C4×C4⋊C4—111no—
752C4×C4⋊C4—111no—
753C4×C4⋊C4—111no—
754C4×C4⋊C4—111no—
755C4×C4⋊C4—111no—
756C4×C4⋊C4—111no—
757C4×C4⋊C4—111no—
758C4×C4⋊C4—111no—
759C4×C4⋊C4—111no—
760C4×C4⋊C4—111no—
761C4×C4⋊C4—111no—
762C4×C4⋊C4—111no—
763C4×C4⋊C4—111no—
764C4×C4⋊C4—111no—
765C4×C4⋊C4—111no—
766C4×C4⋊C4—111no—
767C4×C4⋊C4—111no—
768C4×C4⋊C4—111no—
769C4×C22⋊C4—111no—
770C4×C22⋊C4—111no—
771C4×C22⋊C4—111no—
772C4×C22⋊C4—111no—
773#376—111no—
774#376—111no—
775#376—111no—
776#376—111no—
777C22×C11—22no—
778C22×C11—22no—
779C22×C11—22no—
780C22×C11—41no—
781C22×C11—41no—
782C22×C11—41no—
783C22×C11—41no—
784C22×C11C23×Q811yescharacteristic
785C22×C11C2×H(5,𝔽2)11yescharacteristic
786C22×C11C2×2−1+411yescharacteristic
787C22×C11#58511yescharacteristic
788C22×C11#58511yescharacteristic
789C22×C11#58511yescharacteristic
790C22×C11#58511yescharacteristic
791C4×C11—22no—
792C4×C11—22no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11—41no—
798C4×C11—41no—
799C4×C11—41no—
800C4×C11—41no—
801C4×C11—41no—
802C4×C11—41no—
803C4×C11—41no—
804C4×C11—41no—
805Dic11—22no—
806Dic11—22no—
807Dic11—22no—
808Dic11—41no—
809Dic11—41no—
810Dic11—41no—
811Dic11—41no—
812Dic11—41no—
813Dic11—41no—
814Dic11—41no—
815Dic11—41no—
816Dic11—41no—
817Dic11—41no—
818Dic11—41no—
819Dic11—41no—
820Dic11#54414yes—
821C22×Q8—111no—
822C22×Q8—111no—
823C22×Q8—111no—
824C22×Q8C22×D1111yescharacteristic
825C23×C4—111no—
826C23×C4—111no—
827C23×C4C22×D1111yescharacteristic
828C4×Q8—442no—
829C4×Q8—442no—
830C4×Q8—442no—
831C4×Q8—442no—
832#117—442no—
833#117—442no—
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⋊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⋊C4C22×D1111yescharacteristic
878C2×C4⋊C4C22×D1111yescharacteristic
879C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4C22×D1111yescharacteristic
897C2×C22⋊C4C22×D1111yescharacteristic
898C2×C22⋊C4C22×D1111yescharacteristic
899C2×C22⋊C4C22×D1111yescharacteristic
900C2×C22⋊C4C22×D1111yescharacteristic
901C2×C22⋊C4C22×D1111yescharacteristic
902C2×C42—118no—
903C2×C42—111no—
904C2×C42—111no—
905C2×C42—111no—
906C2×C42—111no—
907C2×C42—111no—
908C2×C42—111no—
909C2×C42—111no—
910C2×C42—111no—
911C2×C42—111no—
912C2×C42—111no—
913C2×C42—111no—
914C2×C42—111no—
915C2×C42—111no—
916C2×C42—111no—
917C2×C42—111no—
918C2×C42—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#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95C22×D1111yescharacteristic
970#95C22×D1111yescharacteristic
971#95C22×D1111yescharacteristic
972#95C22×D1111yescharacteristic
973#95C22×D1111yescharacteristic
974#95C22×D1111yescharacteristic
975#95C22×D1111yescharacteristic
976#95C22×D1111yescharacteristic
977#95C22×D1111yescharacteristic
978#95C22×D1111yescharacteristic
979#95C22×D1111yescharacteristic
980#95C22×D1111yescharacteristic
981#95C22×D1111yescharacteristic
982#95C22×D1111yescharacteristic
983C2×C11—42no—
984C2×C11C2×#54411yescharacteristic
985C2×C11#345811yescharacteristic
986C2×C11#345811yescharacteristic
987C2×C11#352911yescharacteristic
988C2×C11#352911yescharacteristic
989C2×C11#353111yescharacteristic
990C2×C11#353111yescharacteristic
991C24C23×D1111yescharacteristic
992C2×Q8—41no—
993C2×Q8—41no—
994C2×Q8—41no—
995C2×Q8—441no—
996C2×Q8—441no—
997C2×Q8—441no—
998C2×Q8—441no—
999C2×Q8—441no—
1000C2×Q8—441no—
1001C2×Q8—441no—
1002C2×Q8—441no—
1003C2×Q8—441no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—111no—
1007C22×C4—114no—
1008C22×C4—111no—
1009C22×C4—111no—
1010C22×C4—111no—
1011C22×C4—114no—
1012C22×C4—111no—
1013C22×C4—111no—
1014C22×C4—111no—
1015C22×C4—111no—
1016C22×C4—111no—
1017C22×C4—111no—
1018C22×C4—111no—
1019C22×C4—111no—
1020C22×C4—111no—
1021C22×C4—111no—
1022C22×C4—111no—
1023C22×C4—111no—
1024C22×C4—222no—
1025C22×C4—222no—
1026C22×C4—441no—
1027C22×C4—441no—
1028C22×C4Q8×D1114yes—
1029C22×C4C23×D1111yescharacteristic
1030C22×C4C23×D1111yescharacteristic
1031C22×C4C23×D1111yescharacteristic
1032C22×C4C23×D1111yescharacteristic
1033C22×C4C23×D1111yescharacteristic
1034C22×C4C23×D1111yescharacteristic
1035C22×C4C23×D1111yescharacteristic
1036C22×C4C23×D1111yescharacteristic
1037C22×C4C23×D1111yescharacteristic
1038C22×C4C23×D1111yescharacteristic
1039C22×C4C23×D1111yescharacteristic
1040C22×C4C23×D1111yescharacteristic
1041C22×C4C23×D1111yescharacteristic
1042C22×C4C23×D1111yescharacteristic
1043C4⋊C4—41no—
1044C4⋊C4—41no—
1045C4⋊C4—41no—
1046C4⋊C4—41no—
1047C4⋊C4—41no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—41no—
1054C4⋊C4—41no—
1055C4⋊C4—41no—
1056C4⋊C4—441no—
1057C4⋊C4—441no—
1058C4⋊C4—441no—
1059C4⋊C4—441no—
1060C4⋊C4—441no—
1061C4⋊C4—441no—
1062C4⋊C4—441no—
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—
1077C4⋊C4—441no—
1078C4⋊C4—441no—
1079C4⋊C4—441no—
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—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—441no—
1106C22⋊C4—441no—
1107C22⋊C4—441no—
1108C22⋊C4—441no—
1109C22⋊C4—441no—
1110C22⋊C4—441no—
1111C42—114no—
1112C42—114no—
1113C42—114no—
1114C42—114no—
1115C42—222no—
1116C42—222no—
1117C42—222no—
1118C42—222no—
1119C42—222no—
1120C42—222no—
1121C42—222no—
1122C42—222no—
1123C42—222no—
1124C42—222no—
1125C42—222no—
1126C42—222no—
1127C11#3669111yescharacteristic, complemented, Sylow
1128C23—21no—
1129C23—21no—
1130C23—21no—
1131C23—21no—
1132C23—21no—
1133C23—21no—
1134C23C2×Q8×D1112yes—
1135C23C24×D1111yescharacteristic
1136Q8—44no—
1137Q8—444no—
1138Q8—444no—
1139Q8—444no—
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—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—44no—
1181C2×C4—112no—
1182C2×C4—112no—
1183C2×C4—112no—
1184C2×C4—112no—
1185C2×C4—112no—
1186C2×C4—112no—
1187C2×C4—228no—
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—221no—
1211C2×C4—221no—
1212C2×C4—221no—
1213C2×C4—221no—
1214C2×C4—221no—
1215C2×C4—221no—
1216C2×C4—221no—
1217C2×C4—221no—
1218C2×C4—221no—
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—444no—
1231C2×C4C2×Q8×D1112yes—
1232C2×C4C2×Q8×D1112yes—
1233C22—22no—
1234C22—22no—
1235C22—22no—
1236C22—41no—
1237C22—41no—
1238C22—41no—
1239C22—41no—
1240C22C22×Q8×D1111yescharacteristic
1241C22D11×H(5,𝔽2)11yescharacteristic
1242C22#1062345511yescharacteristic
1243C22#1062345511yescharacteristic
1244C22#1062345511yescharacteristic
1245C22D11×2−1+411yescharacteristic
1246C22#1062345711yescharacteristic
1247C4—22no—
1248C4—22no—
1249C4—41no—
1250C4—41no—
1251C4—41no—
1252C4—41no—
1253C4—41no—
1254C4—41no—
1255C4—41no—
1256C4—41no—
1257C4—41no—
1258C4—41no—
1259C4—41no—
1260C4—41no—
1261C4—114no—
1262C4—222no—
1263C4—222no—
1264C4—222no—
1265C4—441no—
1266C4—441no—
1267C4—441no—
1268C4—441no—
1269C4—441no—
1270C4—441no—
1271C4—441no—
1272C4—441no—
1273C4—441no—
1274C4—441no—
1275C4—441no—
1276C4—441no—
1277C2—42no—
1278C2D11×#54411yescharacteristic
1279C2#1308201811yescharacteristic
1280C2#1308202011yescharacteristic
1281C2#1308275111yescharacteristic
1282C2#1308275311yescharacteristic
1283C2#1308276011yescharacteristic
1284C2#1308276211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2841C2
prime radicalC24×C11C24
hypercenter#2841D11
hypocenterC11#36691
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2841

Complements

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

NH ≅ G/Ntype
1. #13076890C2semidirect
2. #13076890C2semidirect
3. #13076889C2semidirect
4. #13076887C2semidirect
5. #13076886C2semidirect
6. #13076884C2semidirect
7. #13076884C2semidirect
8. #13076882C2semidirect
16. #13071922C2semidirect
17. #13071922C2semidirect
18. #13071920C2semidirect
19. #13071920C2semidirect
20. #13071908C2semidirect
21. #13071908C2semidirect
22. #13071906C2semidirect
23. #13071906C2semidirect
263. C2×C4×Dic11Q8semidirect
1127. C11#36691semidirect

Maximal subgroups

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

subgroupindex
#130768902
#130768892
#130768872
#130768862
#130768842
#130768822
#130768782
#130768772
#130768762
#130768732
#130768712
#130719222
#130719202
#130719082
#130719062
#130718912
#130718852
#130718832
#130710182
#130710112
#130710072
C11×#28412
#3669111