Finite Group Databasebeta

← #14925685

Subgroups — #14925685

Order 2816.

2290 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623259C212yesmaximal
2#13073652C211yesmaximal, characteristic, complemented
3#13073647C211yesmaximal, characteristic, complemented
4#13073642C211yesmaximal, characteristic, complemented
5#13073639C212yesmaximal, complemented
6#13073633C212yesmaximal, complemented
7#13073621C214yesmaximal
8#13072316C212yesmaximal
9#13072314C212yesmaximal
10#13071906C214yesmaximal, complemented
11C4⋊Q8×Dic11C212yesmaximal, complemented
12#13071187C212yesmaximal, complemented
13#13071097C212yesmaximal
14#13071021C211yesmaximal, characteristic
15C4×#66945C211yesmaximal, characteristic
16C4×C4⋊C4×D11C211yesmaximal, characteristic
17C11×#2551C211yesmaximal, characteristic, complemented
18C2×C11×C4⋊Q8C2212yes—
19C2×C11×C4⋊Q8C2212yes—
20C2×#66999C2214yes—
21C2×Q8×Dic11C2214yes—
22#10623259—216no—
23C2×#66950C2214yes—
24C2×#66945C2212yes—
25C2×#66945C2211yescharacteristic
26C2×#66945C2211yescharacteristic
27C2×C4⋊C4×D11C2211yescharacteristic
28C2×C4⋊C4×D11C2211yescharacteristic
29C2×#66943C2212yes—
30C2×#66943C2212yes—
31C2×#66941C2212yes—
32C2×#66940C2214yes—
33C2×C42×D11C2212yes—
34C2×C42×D11C2211yescharacteristic
35C2×#66922C2212yes—
36C11×#395C2214yes—
37C11×#389C2212yes—
38C11×#389C2212yes—
39C11×#384C2211yescharacteristic
40C4×C11×C4⋊C4C2211yescharacteristic
41C4×C11×C4⋊C4C2211yescharacteristic
42#10622843C2214yes—
43#10622842C2214yes—
44#10622602C2214yes—
45#10622600C2212yes—
46#10622600C2212yes—
47#10622598C2212yes—
48#10622598C2212yes—
49#10622598C2214yes—
50#10622598C2212yes—
51#10622597C2214yes—
52#10622597C2214yes—
53#10622596C2214yes—
54#10622590C2212yes—
55#10622589C2212yes—
56C4⋊C4×Dic11C2212yes—
57C4⋊C4×Dic11C2214yes—
58C4⋊C4×Dic11C2211yescharacteristic
59C4⋊C4×Dic11C2212yes—
60C4⋊C4×Dic11C2211yescharacteristic
61C4⋊C4×Dic11C2211yescharacteristic
62C4⋊C4×Dic11C2211yescharacteristic
63#10622586C2212yes—
64#10622585C2214yes—
65C4×(C2×D11)⋊C4C2212yes—
66#10622548C2212yes—
67#10622548C2211yescharacteristic
68C4×C4⋊Dic11C2211yescharacteristic
69C4×C4⋊Dic11C2211yescharacteristic
70C4×Dic11⋊C4C2212yes—
71C42×Dic11C2212yes—
72#10622541C2212yes—
73#10622541C2212yes—
74#10622281C2214yes—
75#10622279C2212yes—
76D11×#95C2212yes—
77#10622274C2214yes—
78#10622269C2214yes—
79#10622269C2214yes—
80#10622262C2212yes—
81#10622262C2214yes—
82#10622261C2212yes—
83#10622259C2214yes—
84C22×Q8×C11C2314yes—
85C22×C4×D11C2312yes—
86C22×C4×D11C2312yes—
87C22×C4×D11C2311yescharacteristic
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2311yescharacteristic
90C22×Dic22C2314yes—
91C11×C4⋊Q8—28no—
92C11×C4⋊Q8—28no—
93C2×C11×C4⋊C4C2314yes—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C42×C11C2312yes—
103C2×C42×C11C2312yes—
104C2×C42×C11C2311yescharacteristic
105#66999—216no—
106Q8×Dic11—216no—
107C2×(C2×D11)⋊C4C2314yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2312yes—
110C2×C4⋊Dic11C2312yes—
111C2×C4⋊Dic11C2314yes—
112C2×C4⋊Dic11C2312yes—
113C2×C4⋊Dic11C2314yes—
114C2×C4⋊Dic11C2314yes—
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2314yes—
119C2×C4⋊Dic11C2311yescharacteristic
120C2×C4⋊Dic11C2311yescharacteristic
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2312yes—
125C2×Dic11⋊C4C2312yes—
126C2×Dic11⋊C4C2314yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2314yes—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2311yescharacteristic
138C2×C4×Dic11C2312yes—
139#66950—216no—
140#66945—28no—
141#66945D418yes—
142#66945Q818yescomplemented
143C4⋊C4×D11—24no—
144C4⋊C4×D11—24no—
145#66943—28no—
146#66943—28no—
147#66941—28no—
148#66940—216no—
149C42×D11—28no—
150C42×D11Q818yescomplemented
151#66922—28no—
152C11×#95C2314yes—
153C11×#95C2312yes—
154C11×#95C2312yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2312yes—
165C11⋊#95C2314yes—
166#34938—111nomaximal, Sylow
167C23×D11C2411yescharacteristic
168C2×Q8×C11—28no—
169C2×Q8×C11—28no—
170C2×Q8×C11—44no—
171C22×C4×C11C2414yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2411yescharacteristic
178C22×C4×C11C2411yescharacteristic
179C22×Dic11C2412yes—
180C22×Dic11C2412yes—
181C22×Dic11C2414yes—
182C22×Dic11C2412yes—
183C22×Dic11C2411yescharacteristic
184C22×Dic11C2411yescharacteristic
185C22×Dic11C2412yes—
186C22×Dic11C2411yescharacteristic
187C2×C4×D11—24no—
188C2×C4×D11—24no—
189C2×C4×D11—22no—
190C2×C4×D11—22no—
191C2×C4×D11—24no—
192C2×C4×D11—24no—
193C2×C4×D11—41no—
194C2×C4×D11—41no—
195C2×C4×D11—42no—
196C2×C4×D11—42no—
197C2×C4×D11C2×D414yes—
198C2×C4×D11C2×Q814yes—
199C2×C4×D11C2×Q814yes—
200C2×C4×D11C2×Q814yes—
201C2×C4×D11C2×Q814yes—
202C2×Dic22—28no—
203C2×Dic22—28no—
204C2×Dic22—44no—
205C11×C4⋊C4—28no—
206C11×C4⋊C4—24no—
207C11×C4⋊C4—28no—
208C11×C4⋊C4—24no—
209C11×C4⋊C4—42no—
210C11×C4⋊C4C2×D414yes—
211C11×C4⋊C4C2×Q814yes—
212C11×C4⋊C4#4114yes—
213C11×C4⋊C4#4114yes—
214C42×C11—24no—
215C42×C11—24no—
216C42×C11C2×Q814yes—
217(C2×D11)⋊C4—28no—
218(C2×D11)⋊C4C2×D418yes—
219(C2×D11)⋊C4C2×Q818yes—
220C4⋊Dic11—28no—
221C4⋊Dic11—28no—
222C4⋊Dic11—24no—
223C4⋊Dic11—28no—
224C4⋊Dic11—24no—
225C4⋊Dic11—22no—
226C4⋊Dic11—22no—
227C4⋊Dic11—44no—
228C4⋊Dic11—42no—
229C4⋊Dic11C2×D414yes—
230C4⋊Dic11C2×Q814yes—
231Dic11⋊C4—28no—
232Dic11⋊C4—28no—
233Dic11⋊C4—28no—
234Dic11⋊C4—24no—
235Dic11⋊C4—24no—
236Dic11⋊C4—44no—
237C4×Dic11—24no—
238C4×Dic11—24no—
239C4×Dic11—28no—
240C4×Dic11—24no—
241C4×Dic11—24no—
242C4×Dic11—42no—
243C4×Dic11—42no—
244C4×Dic11C2×D418yes—
245C4×Dic11C2×Q814yes—
246C4×Dic11C2×Q814yes—
247C4×Dic11C2×Q814yes—
248C4×Dic11C2×Q818yes—
249C2×#533—112no—
250#2552—111no—
251#2552—111no—
252#2551—111no—
253#2551D1111yescharacteristic, complemented
254#2550—112no—
255#2550—112no—
256#2549—114no—
257#2440—112no—
258#2440—112no—
259#2399—114no—
260C4×C4⋊Q8—112no—
261C4×C4⋊Q8—112no—
262#2296—112no—
263#2285—111no—
264C4×#117—111no—
265C2×C4×C4⋊C4—111no—
266C23×C11C2511yescharacteristic
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—21no—
270C22×D11—21no—
271C22×D11C22×D412yes—
272C22×D11C22×Q812yes—
273C22×D11C22×Q812yes—
274Q8×C11—416no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11C22×D414yes—
289C2×C4×C11C22×D412yes—
290C2×C4×C11C22×Q814yes—
291C2×C4×C11C22×Q812yes—
292C2×C4×C11C22×Q812yes—
293C2×C4×C11C22×Q812yes—
294C2×C4×C11C22×Q812yes—
295C2×C4×C11C2×#4114yes—
296C2×C4×C11C2×#4112yes—
297C2×C4×C11C2×#4114yes—
298C2×C4×C11C2×#4112yes—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—24no—
315C2×Dic11—22no—
316C2×Dic11C22×D414yes—
317C2×Dic11C22×D412yes—
318C2×Dic11C22×Q812yes—
319C2×Dic11C22×Q812yes—
320C2×Dic11C22×Q814yes—
321C2×Dic11C22×Q812yes—
322C2×Dic11C22×Q812yes—
323C4×D11—28no—
324C4×D11—44no—
325C4×D11—48no—
326C4×D11—48no—
327C4×D11C4⋊Q8116yescomplemented
328Dic22—416no—
329#533—2216no—
330C2×C4⋊Q8—112no—
331C2×C4⋊Q8—112no—
332C2×C4⋊Q8C2×D1112yes—
333C2×C4⋊Q8C2×D1112yes—
334C2×#125—112no—
335C2×#125—112no—
336C2×C22⋊Q8—114no—
337C2×C22⋊Q8—114no—
338C2×C4×Q8—114no—
339C2×C4×Q8—114no—
340C2×#117—111no—
341C2×#117—111no—
342C2×#117—112no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—111no—
345C22×C42—111no—
346C22×C42—112no—
347#398—114no—
348#398—114no—
349#398—114no—
350#398—114no—
351#395—114no—
352#395—114no—
353#395—114no—
354#395C2×D1114yes—
355#391—114no—
356#391—114no—
357#389—114no—
358#389—112no—
359#389—112no—
360#389—114no—
361#389—112no—
362#389—112no—
363#389—112no—
364#389—112no—
365#389C2×D1112yes—
366#389C2×D1112yes—
367#385—114no—
368#385—114no—
369#384—112no—
370#384—112no—
371#384—111no—
372#384C2×D1111yescharacteristic
373#382—112no—
374#380—112no—
375#380—112no—
376C4×C4⋊C4—111no—
377C4×C4⋊C4—111no—
378C4×C4⋊C4—112no—
379C4×C4⋊C4—114no—
380C4×C4⋊C4—112no—
381C4×C4⋊C4—111no—
382C4×C4⋊C4—111no—
383C4×C4⋊C4—112no—
384C4×C4⋊C4—111no—
385C4×C4⋊C4—111no—
386C4×C4⋊C4—114no—
387C4×C4⋊C4—112no—
388C4×C4⋊C4C2×D1111yescharacteristic
389C4×C4⋊C4C2×D1111yescharacteristic
390C4×C22⋊C4—112no—
391C4×C22⋊C4—112no—
392#376—112no—
393C2×#95—112no—
394C43—112no—
395C22×C11C23×D411yescharacteristic
396C22×C11C23×Q811yescharacteristic
397C22×C11C23×Q811yescharacteristic
398C22×C11C22×#4111yescharacteristic
399C22×C11C22×#4111yescharacteristic
400C22×C11#58511yescharacteristic
401C22×C11#58511yescharacteristic
402C2×D11—22no—
403C2×D11—22no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11—22no—
407C2×D11—22no—
408C2×D11C2×C4⋊Q814yes—
409C4×C11—22no—
410C4×C11—24no—
411C4×C11—24no—
412C4×C11—24no—
413C4×C11—24no—
414C4×C11—44no—
415C4×C11C2×C4⋊Q814yes—
416C4×C11#53314yescomplemented
417Dic11—22no—
418Dic11—22no—
419Dic11—24no—
420Dic11—24no—
421Dic11—44no—
422Dic11—42no—
423Dic11—42no—
424Dic11C2×C4⋊Q814yes—
425C22×Q8—114no—
426C22×Q8C22×D1114yes—
427C23×C4—111no—
428C23×C4—111no—
429C23×C4—111no—
430C23×C4—112no—
431C23×C4—112no—
432C4⋊Q8—28no—
433C4⋊Q8—28no—
434C4⋊Q8—228no—
435C4⋊Q8—228no—
436#125—228no—
437#125—228no—
438C22⋊Q8—2216no—
439C22⋊Q8—2216no—
440C4×Q8—2216no—
441C4×Q8—2216no—
442#117—118no—
443#117—118no—
444#117—228no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—114no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—112no—
460C2×C4⋊C4—114no—
461C2×C4⋊C4—114no—
462C2×C4⋊C4—224no—
463C2×C4⋊C4—224no—
464C2×C4⋊C4C22×D1112yes—
465C2×C4⋊C4C22×D1114yes—
466C2×C4⋊C4C22×D1112yes—
467C2×C4⋊C4C22×D1114yes—
468C2×C4⋊C4C22×D1112yes—
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C4⋊C4C22×D1111yescharacteristic
471C2×C4⋊C4C22×D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C22⋊C4—112no—
474C2×C22⋊C4—112no—
475C2×C22⋊C4—114no—
476C2×C42—112no—
477C2×C42—112no—
478C2×C42—111no—
479C2×C42—111no—
480C2×C42—111no—
481C2×C42—118no—
482C2×C42—114no—
483C2×C42—112no—
484C2×C42—112no—
485C2×C42—112no—
486C2×C42—112no—
487C2×C42—112no—
488C2×C42—112no—
489C2×C42—228no—
490C2×C42C22×D1112yes—
491C2×C42C22×D1112yes—
492C2×C42C22×D1111yescharacteristic
493#95—112no—
494#95—112no—
495#95—112no—
496#95—112no—
497#95—112no—
498#95—112no—
499#95—114no—
500#95—114no—
501#95—114no—
502#95—114no—
503#95—114no—
504#95C22×D1112yes—
505#95C22×D1112yes—
506#95C22×D1114yes—
507C2×C11C22×C4⋊Q811yescharacteristic
508C2×C11C2×#53311yescharacteristic
509C2×C11#345811yescharacteristic
510C2×C11D4×#4111yescharacteristic
511C2×C11D4×#4111yescharacteristic
512C2×C11Q8×#4111yescharacteristic
513C2×C11Q8×#4111yescharacteristic
514D11—24no—
515C24—111no—
516C2×Q8—28no—
517C2×Q8—28no—
518C2×Q8—44no—
519C2×Q8—228no—
520C2×Q8—228no—
521C2×Q8—444no—
522C22×C4—111no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—111no—
527C22×C4—111no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—112no—
533C22×C4—112no—
534C22×C4—114no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—224no—
540C22×C4—224no—
541C22×C4—441no—
542C22×C4—442no—
543C22×C4—441no—
544C22×C4—442no—
545C22×C4C23×D1114yes—
546C22×C4C23×D1112yes—
547C22×C4C23×D1112yes—
548C22×C4C23×D1111yescharacteristic
549C22×C4C23×D1112yes—
550C22×C4C23×D1112yes—
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C4⋊C4—24no—
554C4⋊C4—28no—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—42no—
558C4⋊C4—114no—
559C4⋊C4—114no—
560C4⋊C4—228no—
561C4⋊C4—228no—
562C4⋊C4—228no—
563C4⋊C4—224no—
564C4⋊C4—228no—
565C4⋊C4—228no—
566C4⋊C4—224no—
567C4⋊C4—222no—
568C4⋊C4—224no—
569C4⋊C4—222no—
570C4⋊C4—228no—
571C4⋊C4—224no—
572C4⋊C4—444no—
573C4⋊C4—444no—
574C4⋊C4—442no—
575C4⋊C4D4×D1114yes—
576C4⋊C4#434114yes—
577C4⋊C4Q8×D1114yes—
578C4⋊C4#434314yes—
579C22⋊C4—118no—
580C22⋊C4—118no—
581C22⋊C4—228no—
582C42—24no—
583C42—24no—
584C42—118no—
585C42—114no—
586C42—114no—
587C42—114no—
588C42—118no—
589C42—224no—
590C42—224no—
591C42—228no—
592C42—224no—
593C42—224no—
594C42—442no—
595C42—442no—
596C42Q8×D1114yes—
597C11#3493811yescharacteristic, complemented, Sylow
598C23—112no—
599C23—112no—
600C23—112no—
601C23—221no—
602C23—221no—
603C23—221no—
604C23—221no—
605C23C24×D1111yescharacteristic
606Q8—416no—
607Q8—4416no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—112no—
624C2×C4—1116no—
625C2×C4—114no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—114no—
629C2×C4—221no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—222no—
635C2×C4—221no—
636C2×C4—222no—
637C2×C4—228no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—224no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—224no—
647C2×C4—444no—
648C2×C4—448no—
649C2×C4—448no—
650C2×C4C2×D4×D1114yes—
651C2×C4C2×D4×D1112yes—
652C2×C4C2×#434114yes—
653C2×C4C2×#434112yes—
654C2×C4C2×Q8×D1112yes—
655C2×C4C2×Q8×D1114yes—
656C2×C4C2×Q8×D1112yes—
657C2×C4C2×Q8×D1112yes—
658C2×C4C2×Q8×D1112yes—
659C2×C4C2×#434314yes—
660C2×C4C2×#434312yes—
661C22—114no—
662C22—222no—
663C22—222no—
664C22—222no—
665C22—222no—
666C22—222no—
667C22—222no—
668C22C22×D4×D1111yescharacteristic
669C22C22×#434111yescharacteristic
670C22C22×Q8×D1111yescharacteristic
671C22C22×Q8×D1111yescharacteristic
672C22C22×#434311yescharacteristic
673C22#1062345511yescharacteristic
674C22#1062345711yescharacteristic
675C4—24no—
676C4—22no—
677C4—24no—
678C4—24no—
679C4—24no—
680C4—44no—
681C4—114no—
682C4—222no—
683C4—224no—
684C4—222no—
685C4—224no—
686C4—442no—
687C4—442no—
688C4—444no—
689C4D11×C4⋊Q814yes—
690C4#1062325914yescomplemented
691C2—224no—
692C2C2×D11×C4⋊Q811yescharacteristic
693C2C2×#1062325911yescharacteristic
694C2#1308202011yescharacteristic
695C2D4×#434111yescharacteristic
696C2D4×#434311yescharacteristic
697C2Q8×#434111yescharacteristic
698C2Q8×#434311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2551C2
prime radicalC23×D11C24
hypercenter#2551D11
hypocenterC11#34938
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2551

Complements

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

NH ≅ G/Ntype
2. #13073652C2semidirect
3. #13073647C2semidirect
4. #13073642C2semidirect
5. #13073639C2semidirect
6. #13073633C2semidirect
10. #13071906C2semidirect
11. C4⋊Q8×Dic11C2semidirect
12. #13071187C2semidirect
17. C11×#2551C2semidirect
142. #66945Q8semidirect
150. C42×D11Q8semidirect
253. #2551D11semidirect
327. C4×D11C4⋊Q8semidirect
416. C4×C11#533semidirect
597. C11#34938semidirect
690. C4#10623259semidirect

Maximal subgroups

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

subgroupindex
C2×#106232592
#130736522
#130736472
#130736422
#130736392
#130736332
#130736212
#130723162
#130723142
#130719062
C4⋊Q8×Dic112
#130711872
#130710972
#130710212
C4×#669452
C4×C4⋊C4×D112
C11×#25512
#3493811