Finite Group Databasebeta

← #14763538

Subgroups — #14763538

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623065C211yesmaximal, characteristic
2#13071239C211yesmaximal, characteristic, complemented
3#13069589C211yesmaximal, characteristic, complemented
4#13069577C211yesmaximal, characteristic, complemented
5#13069432C211yesmaximal, characteristic, complemented
6#13069427C211yesmaximal, characteristic, complemented
7#13068936C211yesmaximal, characteristic
8#13068931C211yesmaximal, characteristic
9#13068926C211yesmaximal, characteristic, complemented
10#13068921C211yesmaximal, characteristic, complemented
11#13068632C211yesmaximal, characteristic, complemented
12#13068627C211yesmaximal, characteristic, complemented
13#13068622C211yesmaximal, characteristic, complemented
14#13068617C211yesmaximal, characteristic, complemented
15C2×C11×#433C211yesmaximal, characteristic, complemented
16C2×C11×#117C2211yescharacteristic
17C2×#66983C2211yescharacteristic
18C2×#66979C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C2×#66977C2211yescharacteristic
21#10623065—24no—
22#10623065C418yescomplemented
23C2×#66951—21no—
24C2×#66949—21no—
25C2×#66938—21no—
26C2×#66936—21no—
27C2×#66928C2211yescharacteristic
28C2×C4×D44C2211yescharacteristic
29C2×#66922C2211yescharacteristic
30C2×C4×Dic22C2211yescharacteristic
31C11×#433—24no—
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×C4⋊C8C2211yescharacteristic
34C2×C11×C22⋊C8C2211yescharacteristic
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×#97C2211yescharacteristic
37C2×C4×C8×C11C2211yescharacteristic
38C2×#66885C2211yescharacteristic
39C2×#66885C2211yescharacteristic
40C2×#66885C2211yescharacteristic
41C2×#66885C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43C2×#66880C2211yescharacteristic
44C2×#66880C2211yescharacteristic
45C2×#66880C2211yescharacteristic
46#10622598—21no—
47#10622598—21no—
48#10622563—21no—
49#10622563—21no—
50#10622549C2211yescharacteristic
51#10622549C2211yescharacteristic
52#10622548C2211yescharacteristic
53#10622548C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C22×D44C2311yescharacteristic
66C22×C4×D11—21no—
67C22×Dic22—21no—
68C22×Dic22C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#117C2×C414yes—
74C11×#117D414yes—
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C22⋊C4D411yescharacteristic
78C2×C11×C22⋊C4D411yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×C42×C11C2311yescharacteristic
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83#66983—22no—
84#66983C2×C414yes—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89#66979—41no—
90#66979—41no—
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—41no—
98C2×C4⋊Dic11—41no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105#66977—22no—
106#66977C2×C414yes—
107C2×Dic11⋊C4—21no—
108C2×Dic11⋊C4—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11—21no—
111#66951—28no—
112#66949—28no—
113#66938—28no—
114#66936—28no—
115#66928—22no—
116#66928C2×C414yescomplemented
117C4×D44—22no—
118C4×D44C2×C414yescomplemented
119#66922—22no—
120#66922C2×C414yescomplemented
121C4×Dic22—22no—
122C4×Dic22C2×C414yescomplemented
123C11×C4⋊C8—22no—
124C11×C4⋊C8—22no—
125C11×C22⋊C8—22no—
126C11×C22⋊C8—22no—
127C11×#97—22no—
128C4×C8×C11—22no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133#66885—41no—
134#66885—41no—
135#66885—41no—
136#66885—41no—
137#66880—41no—
138#66880—41no—
139#66880—41no—
140#66880—41no—
141#21871—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11C22×C412yes—
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D412yes—
155C22×C4×C11C2411yescharacteristic
156C2×C22⋊D11—24no—
157C2×C22⋊D11—81no—
158C2×C22⋊D11—81no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—42no—
167C22×Dic11—81no—
168C22×Dic11—81no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44C22×C412yes—
175C2×C4×D11—24no—
176C2×C4×D11—81no—
177C2×C4×D11—81no—
178C2×Dic22—24no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—81no—
185C2×Dic22—81no—
186C2×Dic22C22×C412yes—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C11×C4⋊C4C22⋊C414yes—
200C11×C4⋊C4C22⋊C414yes—
201C11×C22⋊C4C22⋊C414yes—
202C11×C22⋊C4C22⋊C414yes—
203C42×C11C22×C412yes—
204C42×C11C22×C412yes—
205C42×C11C2×D412yes—
206C42×C11C2×D412yes—
207C22⋊Dic11—24no—
208C22⋊Dic11—42no—
209(C2×D11)⋊C4—24no—
210(C2×D11)⋊C4—24no—
211(C2×D11)⋊C4—24no—
212(C2×D11)⋊C4—24no—
213C4⋊Dic11—24no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—42no—
225C4⋊Dic11—81no—
226C4⋊Dic11—81no—
227C4⋊Dic11—81no—
228C4⋊Dic11—81no—
229C4⋊Dic11C22×C412yes—
230C4⋊Dic11C22×C412yes—
231Dic11⋊C4—24no—
232Dic11⋊C4—24no—
233C4×Dic11—24no—
234C4×Dic11—42no—
235C2×#542—111no—
236C2×#433D1111yescharacteristic, complemented
237#2317—111no—
238#1993—111no—
239#1990—111no—
240#1959—111no—
241#1958—111no—
242#1875—111no—
243#1874—111no—
244#1873—111no—
245#1872—111no—
246#1805—111no—
247#1804—111no—
248#1803—111no—
249#1802—111no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11C2×C22⋊C412yes—
257C23×C11C22×D411yescharacteristic
258C22×D11—22no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11C2×C22⋊C412yes—
280C2×C4×C11C2×C22⋊C412yes—
281C2×C4×C11C2×C22⋊C412yes—
282C2×C4×C11C2×C22⋊C412yes—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C23×C411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11H(5,𝔽2)11yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C112−1+411yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C22⋊D11—84no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—84no—
313D44—22no—
314D44—22no—
315D44—41no—
316D44—41no—
317C4×D11—84no—
318Dic22—22no—
319Dic22—22no—
320Dic22—41no—
321Dic22—41no—
322Dic22—84no—
323C8×C11—41no—
324C8×C11—41no—
325C8×C11—41no—
326C8×C11—41no—
327#542—118no—
328#542—224no—
329C2×C4⋊Q8—111no—
330C2×#126—221no—
331C2×#124—111no—
332C2×#124—221no—
333C2×#123—221no—
334C2×C22⋊Q8—111no—
335C2×C22⋊Q8—221no—
336C2×#121—111no—
337C2×C4×Q8—111no—
338C2×C4×D4—111no—
339C2×#117—111no—
340C2×#117C2×D1111yescharacteristic
341C22×C4⋊C4—111no—
342#433—24no—
343C2×C4⋊C8C2×D1111yescharacteristic
344C2×C4⋊C8C2×D1111yescharacteristic
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×#103—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×C22⋊C8C2×D1111yescharacteristic
354C2×C22⋊C8C2×D1111yescharacteristic
355C2×#97C2×D1111yescharacteristic
356C2×C4×C8C2×D1111yescharacteristic
357#389—221no—
358#389—221no—
359#385—221no—
360#385—221no—
361#384—111no—
362#384—111no—
363#382—111no—
364#382—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11C22×C22⋊C411yescharacteristic
381C22×C11#53511yescharacteristic
382C22×C11#53611yescharacteristic
383C22×C11#57611yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57811yescharacteristic
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—22no—
398C4×C11—22no—
399C4×C11#52011yescharacteristic
400C4×C11#52011yescharacteristic
401C4×C11#53711yescharacteristic
402C4×C11#53711yescharacteristic
403Dic11—42no—
404Dic11—42no—
405Dic11—42no—
406Dic11—81no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C22×Q8—111no—
411C22×Q8—221no—
412C22×D4—111no—
413C22×D4—221no—
414C23×C4—221no—
415C23×C4—221no—
416C23×C4C22×D1111yescharacteristic
417C22×C8C22×D1111yescharacteristic
418C22×C8C22×D1111yescharacteristic
419C22×C8C22×D1111yescharacteristic
420C22×C8C22×D1111yescharacteristic
421C4⋊Q8—114no—
422C4⋊Q8—222no—
423#126—228no—
424#124—114no—
425#124—228no—
426#124—222no—
427#123—228no—
428C22⋊Q8—114no—
429C22⋊Q8—222no—
430C22⋊Q8—228no—
431#121—114no—
432#121—222no—
433C4×Q8—114no—
434C4×Q8—222no—
435C4×D4—114no—
436C4×D4—222no—
437#117—441no—
438#117—441no—
439#117C4×D1114yes—
440#117C22⋊D1114yes—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—441no—
456C2×C4⋊C4—441no—
457C2×C4⋊C4D4411yescharacteristic
458C2×C4⋊C4D4411yescharacteristic
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4D4411yescharacteristic
466C2×C22⋊C4D4411yescharacteristic
467C2×C42—221no—
468C2×C42—221no—
469C2×C42C22×D1111yescharacteristic
470C2×C42C22×D1111yescharacteristic
471C4⋊C8—22no—
472C4⋊C8—22no—
473#103—441no—
474#103—441no—
475#103—441no—
476#103—441no—
477#102—441no—
478#102—441no—
479#102—441no—
480#102—441no—
481C22⋊C8—22no—
482C22⋊C8—22no—
483#97—22no—
484C4×C8—22no—
485#95—221no—
486#95—221no—
487#95—221no—
488#95—221no—
489C2×C11—42no—
490C2×C11#231111yescharacteristic
491C2×C11#289711yescharacteristic
492C2×C11#289811yescharacteristic
493C2×C11#322411yescharacteristic
494C2×C11#322511yescharacteristic
495C2×C11#324311yescharacteristic
496C2×C11#324411yescharacteristic
497D11—82no—
498C24—221no—
499C24C2×D4411yescharacteristic
500C2×Q8—112no—
501C2×Q8—224no—
502C2×Q8—221no—
503C2×Q8—221no—
504C2×Q8—221no—
505C2×Q8—221no—
506C2×Q8—221no—
507C2×Q8—881no—
508C2×Q8—881no—
509C2×D4—112no—
510C2×D4—224no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—881no—
517C2×D4—881no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—224no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—442no—
531C22×C4—881no—
532C22×C4—881no—
533C22×C4—881no—
534C22×C4—881no—
535C22×C4C2×C4×D1112yes—
536C22×C4C2×D4411yescharacteristic
537C22×C4C2×D4411yescharacteristic
538C22×C4C2×D4411yescharacteristic
539C22×C4C2×D4411yescharacteristic
540C22×C4C2×D4411yescharacteristic
541C22×C4C2×C22⋊D1112yes—
542C22×C4C23×D1111yescharacteristic
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C4⋊C4—112no—
556C4⋊C4—112no—
557C4⋊C4—224no—
558C4⋊C4—224no—
559C4⋊C4—224no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—442no—
571C4⋊C4—881no—
572C4⋊C4—881no—
573C4⋊C4—881no—
574C4⋊C4—881no—
575C4⋊C4(C2×D11)⋊C414yes—
576C4⋊C4(C2×D11)⋊C414yes—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4—442no—
583C22⋊C4(C2×D11)⋊C414yes—
584C22⋊C4(C2×D11)⋊C414yes—
585C42—224no—
586C42—442no—
587C42C2×C4×D1112yes—
588C42C2×C4×D1112yes—
589C42C2×C22⋊D1112yes—
590C42C2×C22⋊D1112yes—
591C11#2187111yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—222no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23C2×(C2×D11)⋊C412yes—
606C23C22×D4411yescharacteristic
607Q8—222no—
608Q8—222no—
609Q8—441no—
610Q8—441no—
611Q8—884no—
612D4—222no—
613D4—222no—
614D4—441no—
615D4—441no—
616D4—884no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—884no—
653C2×C4—884no—
654C2×C4C2×(C2×D11)⋊C412yes—
655C2×C4C2×(C2×D11)⋊C412yes—
656C2×C4C2×(C2×D11)⋊C412yes—
657C2×C4C2×(C2×D11)⋊C412yes—
658C2×C4C2×(C2×D11)⋊C412yes—
659C2×C4C22×C4×D1111yescharacteristic
660C2×C4#6704211yescharacteristic
661C2×C4#6704211yescharacteristic
662C2×C4#6704311yescharacteristic
663C2×C4#6704311yescharacteristic
664C2×C4C22×C22⋊D1111yescharacteristic
665C8—41no—
666C8—41no—
667C8—41no—
668C8—41no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—442no—
677C22—442no—
678C22—442no—
679C22—881no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22#1062305611yescharacteristic
684C22#1062305711yescharacteristic
685C22#1062328211yescharacteristic
686C22#1062328211yescharacteristic
687C22#1062328311yescharacteristic
688C22#1062328411yescharacteristic
689C22C22×(C2×D11)⋊C411yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—442no—
696C4—442no—
697C4—442no—
698C4—881no—
699C4—881no—
700C4—881no—
701C4—881no—
702C4#1062305411yescharacteristic
703C4#1062305411yescharacteristic
704C4#1062336411yescharacteristic
705C4#1062336411yescharacteristic
706C2—42no—
707C2—882no—
708C2#1307120411yescharacteristic
709C2#1307714311yescharacteristic
710C2#1307715011yescharacteristic
711C2#1307971211yescharacteristic
712C2#1307972711yescharacteristic
713C2#1307990111yescharacteristic
714C2#1307991611yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#433C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
cosocleC22×C4×C11C24
hypercenterC2×#433D11
hypocenterC11#21871
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. #13071239C2semidirect
3. #13069589C2semidirect
4. #13069577C2semidirect
5. #13069432C2semidirect
6. #13069427C2semidirect
9. #13068926C2semidirect
10. #13068921C2semidirect
11. #13068632C2semidirect
12. #13068627C2semidirect
13. #13068622C2semidirect
14. #13068617C2semidirect
15. C2×C11×#433C2semidirect
22. #10623065C4semidirect
116. #66928C2×C4semidirect
118. C4×D44C2×C4semidirect
120. #66922C2×C4semidirect
122. C4×Dic22C2×C4semidirect
236. C2×#433D11semidirect
591. C11#21871semidirect

Maximal subgroups

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

subgroupindex
C2×#106230652
#130712392
#130695892
#130695772
#130694322
#130694272
#130689362
#130689312
#130689262
#130689212
#130686322
#130686272
#130686222
#130686172
C2×C11×#4332
#2187111