Finite Group Databasebeta

← #14760233

Subgroups — #14760233

Order 2816.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13078065C211yesmaximal, characteristic
2C2×#10622758C211yesmaximal, characteristic, complemented
3C2×#10622757C211yesmaximal, characteristic, complemented
4#13077041C211yesmaximal, characteristic, complemented
5#13069536C211yesmaximal, characteristic, complemented
6#13069389C211yesmaximal, characteristic, complemented
7#13069261C211yesmaximal, characteristic, complemented
8#13069261C211yesmaximal, characteristic, complemented
9#13068946C211yesmaximal, characteristic, complemented
10#13068946C211yesmaximal, characteristic, complemented
11#13068633C211yesmaximal, characteristic, complemented
12#13068488C211yesmaximal, characteristic, complemented
13#13068458C211yesmaximal, characteristic, complemented
14#13068451C211yesmaximal, characteristic, complemented
15C11×#2932C211yesmaximal, characteristic, complemented
16C2×C11×#131C2211yescharacteristic
17C2×C11×#131C2211yescharacteristic
18C11×#532C2211yescharacteristic
19C2×#67003C2211yescharacteristic
20C2×#67003C2211yescharacteristic
21C2×#66954C2211yescharacteristic
22C2×#66954C2211yescharacteristic
23C4×#4339C2211yescharacteristic
24C11×#435—21no—
25C11×#435—21no—
26C11×#435—21no—
27C11×#435—21no—
28C11×#423C2211yescharacteristic
29C11×#408C2211yescharacteristic
30C11×#408C2211yescharacteristic
31C2×C11×#97C2211yescharacteristic
32C2×#66901C2211yescharacteristic
33C2×#66901C2211yescharacteristic
34C2×#66901C2211yescharacteristic
35C2×#66901C2211yescharacteristic
36#10622846C2211yescharacteristic
37#10622846C2211yescharacteristic
38#10622758—24no—
39#10622757—24no—
40C2×#66889C2211yescharacteristic
41C2×#66889C2211yescharacteristic
42C2×#66886C2211yescharacteristic
43C2×#66886C2211yescharacteristic
44#10622714C2211yescharacteristic
45#10622714C2211yescharacteristic
46C2×#66879C2211yescharacteristic
47C2×C8×Dic11C2211yescharacteristic
48#10622703C411yescharacteristic, complemented
49#10622696C411yescharacteristic, complemented
50#10622688C411yescharacteristic, complemented
51#10622685C411yescharacteristic, complemented
52#10622670C411yescharacteristic, complemented
53#10622670C411yescharacteristic, complemented
54#10622667C411yescharacteristic, complemented
55#10622667C411yescharacteristic, complemented
56C4×C4⋊Dic11C2211yescharacteristic
57C2×C4⋊(C11⋊C8)C2211yescharacteristic
58C4×#4318C2211yescharacteristic
59#10622321—21no—
60#10622321—21no—
61#10622320—21no—
62D11×#97—21no—
63#10622196C2211yescharacteristic
64#10622196C2211yescharacteristic
65#10622193C2211yescharacteristic
66#10622193C2211yescharacteristic
67#10622188C2211yescharacteristic
68#10622188C2211yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C2×C11×#41C2311yescharacteristic
71C2×#4339C2311yescharacteristic
72C11×#131—22no—
73C11×#131—22no—
74C11×#131—22no—
75C11×#131—22no—
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16C2311yescharacteristic
79C2×C11×M16C2311yescharacteristic
80C22×C8×C11—21no—
81C22×C8×C11—21no—
82C22×C8×C11C2311yescharacteristic
83C22×C8×C11C2311yescharacteristic
84C11×C4⋊Q8C2×C411yescharacteristic
85C11×#127C2×C411yescharacteristic
86C11×#124C2×C411yescharacteristic
87C11×#124C2×C411yescharacteristic
88C11×#121—21no—
89C11×#121—21no—
90C4×D4×C11—21no—
91C4×D4×C11—21no—
92C2×C42×C11C2311yescharacteristic
93#67003—22no—
94#67003—22no—
95#67003—22no—
96#67003—22no—
97C2×#4326C2×C411yescharacteristic
98C2×#4326C2×C411yescharacteristic
99C2×#4325C2×C411yescharacteristic
100C2×#4325C2×C411yescharacteristic
101C2×#4324C2×C411yescharacteristic
102C2×#4324C2×C411yescharacteristic
103C2×#4323C2×C411yescharacteristic
104C2×#4323C2×C411yescharacteristic
105C4×C22⋊D11—21no—
106C4×C22⋊D11—21no—
107#66979C2311yescharacteristic
108C2×C4⋊Dic11—21no—
109C2×C4×Dic11C2311yescharacteristic
110C2×C4×Dic11C2311yescharacteristic
111C2×#4318C2311yescharacteristic
112C2×#4318C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115#66954—22no—
116#66954—22no—
117#66954—22no—
118#66954D414yescomplemented
119C2×#4313—21no—
120C2×#4313—21no—
121C2×C8×D11—21no—
122C2×C8×D11—21no—
123C4×D44C2×C411yescharacteristic
124C4×D44C2×C411yescharacteristic
125#66925—21no—
126C42×D11—21no—
127C4×Dic22C2×C411yescharacteristic
128C4×Dic22C2×C411yescharacteristic
129C11×C4⋊C8—21no—
130C11×C4⋊C8—21no—
131C11×C22⋊C8—21no—
132C11×C22⋊C8—21no—
133C11×C22⋊C8—21no—
134C11×C22⋊C8—21no—
135C11×#97D411yescharacteristic
136C11×#97D411yescharacteristic
137C11×#97D411yescharacteristic
138C11×#97D411yescharacteristic
139#66901—22no—
140#66901—22no—
141#66901—22no—
142#66901—22no—
143#66899C2×C411yescharacteristic
144#66899C2×C411yescharacteristic
145#66899C2×C411yescharacteristic
146#66899C2×C411yescharacteristic
147#66896C2×C411yescharacteristic
148#66896C2×C411yescharacteristic
149#66896C2×C411yescharacteristic
150#66896C2×C411yescharacteristic
151C11⋊#95—21no—
152#66889—22no—
153#66889—22no—
154#66886—22no—
155#66886—22no—
156#66879—22no—
157#66879—21no—
158#66879—21no—
159C8×Dic11—22no—
160C8×Dic11—21no—
161C8×Dic11—21no—
162C4⋊(C11⋊C8)C2×C411yescharacteristic
163C4⋊(C11⋊C8)C2×C411yescharacteristic
164C4⋊(C11⋊C8)C2×C411yescharacteristic
165C4⋊(C11⋊C8)C2×C411yescharacteristic
166#66867—21no—
167C4×C11⋊C8—21no—
168#21519—111nomaximal, Sylow
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—21no—
172C11×#41—21no—
173C11×#41—21no—
174C11×#41—21no—
175C11×#41—21no—
176C11×#41—21no—
177C2×Q8×C11C22×C411yescharacteristic
178C2×Q8×C11C22×C411yescharacteristic
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11C22×C411yescharacteristic
184C2×D4×C11C22×C411yescharacteristic
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11#4111yescharacteristic
188C22×C4×C11#4111yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C2×C22⋊D11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193#4339—21no—
194#4339—21no—
195#4339C2×D412yes—
196#4339#4112yes—
197C2×D44C22×C411yescharacteristic
198C2×C4×D11—21no—
199C2×C4×D11—21no—
200C2×C4×D11—21no—
201C2×Dic22C22×C411yescharacteristic
202C11×M16—21no—
203C11×M16—21no—
204C11×M16—21no—
205C11×M16—21no—
206C11×M16—42no—
207C11×M16—42no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—42no—
213C2×C8×C11—42no—
214C2×C8×C11C2×D412yes—
215C2×C8×C11C2×D411yescharacteristic
216C2×C8×C11C2×D411yescharacteristic
217C2×C8×C11C2×D411yescharacteristic
218C2×C8×C11C2×D411yescharacteristic
219C2×C8×C11#4112yes—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C22⋊C4—21no—
223C11×C22⋊C4—21no—
224C11×C22⋊C4—21no—
225C11×C22⋊C4—21no—
226C42×C11C22×C411yescharacteristic
227C42×C11C22×C411yescharacteristic
228C42×C11C2×D411yescharacteristic
229C42×C11C2×D411yescharacteristic
230C22⋊Dic11—21no—
231#4326—22no—
232#4326—22no—
233#4325—22no—
234#4325—22no—
235#4324—22no—
236#4324—22no—
237#4323—22no—
238#4323—22no—
239(C2×D11)⋊C4—21no—
240(C2×D11)⋊C4—21no—
241C4⋊Dic11—42no—
242C4⋊Dic11C22×C411yescharacteristic
243C4⋊Dic11C22×C411yescharacteristic
244Dic11⋊C4—21no—
245Dic11⋊C4—21no—
246C4×Dic11—21no—
247C4×Dic11—21no—
248C4×Dic11—21no—
249C4×Dic11—21no—
250C4×Dic11—21no—
251C4×Dic11—21no—
252C4×Dic11—21no—
253#4318—21no—
254#4318—21no—
255#4318C2×D412yes—
256#4318#4112yes—
257C2×C11⋊C8—21no—
258C2×C11⋊C8—21no—
259C2×C11⋊C8—21no—
260C2×C11⋊C8—21no—
261C2×C11⋊C8—21no—
262C2×C11⋊C8—21no—
263C2×C11⋊C8C22×C411yescharacteristic
264C2×C11⋊C8C22×C411yescharacteristic
265C2×C11⋊C8C22×C411yescharacteristic
266C2×C11⋊C8C22×C411yescharacteristic
267#4313—24no—
268#4313—24no—
269C8×D11—24no—
270C8×D11—24no—
271#3035—111no—
272C2×#444—111no—
273C2×#443—111no—
274#2932D1111yescharacteristic, complemented
275#2875—111no—
276#1980—111no—
277#1950—111no—
278#1929—111no—
279#1929—111no—
280#1876—111no—
281#1876—111no—
282#1806—111no—
283#1771—111no—
284#1765—111no—
285#1764—111no—
286C23×C11—21no—
287C23×C11—21no—
288C23×C11C2×#4111yescharacteristic
289C22×D11—21no—
290Q8×C11—21no—
291Q8×C11—21no—
292Q8×C11—21no—
293Q8×C11—21no—
294D4×C11—21no—
295D4×C11—21no—
296D4×C11—21no—
297D4×C11—21no—
298D4×C11—41no—
299D4×C11—41no—
300D4×C11—41no—
301D4×C11—41no—
302D4×C11—81no—
303D4×C11—81no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11C4×D411yescharacteristic
313C2×C4×C11C4×D411yescharacteristic
314C2×C4×C11C4×D411yescharacteristic
315C2×C4×C11C4×D411yescharacteristic
316C2×C4×C11C23×C411yescharacteristic
317C2×C4×C11C22×D411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C2×#4111yescharacteristic
320C2×C4×C11C2×#4111yescharacteristic
321C2×C4×C11C2×#4111yescharacteristic
322C22⋊D11—22no—
323C22⋊D11—22no—
324C2×Dic11—21no—
325C2×Dic11—22no—
326C2×Dic11—21no—
327C2×Dic11—21no—
328C2×Dic11—41no—
329C2×Dic11—41no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C2×Dic11—41no—
333D44—21no—
334D44C4×D412yes—
335C4×D11—22no—
336C4×D11—22no—
337C4×D11—81no—
338C4×D11—81no—
339Dic22—21no—
340Dic22C4×D412yes—
341C8×C11—21no—
342C8×C11—21no—
343C8×C11—41no—
344C8×C11—41no—
345C8×C11#12112yes—
346C8×C11#12112yes—
347C11⋊C8—21no—
348C11⋊C8—21no—
349C11⋊C8—21no—
350C11⋊C8—21no—
351C11⋊C8—22no—
352C11⋊C8—22no—
353C2×#135—111no—
354C2×#135—111no—
355C2×#131—111no—
356C2×#131—111no—
357C2×#131C2×D1111yescharacteristic
358C2×#131C2×D1111yescharacteristic
359#532C2×D1111yescharacteristic
360C4×#41—111no—
361#464—111no—
362#464—111no—
363#463—111no—
364#463—111no—
365#462—111no—
366#461—111no—
367#460—111no—
368#459—111no—
369#444—224no—
370#443—224no—
371#435—21no—
372#435—21no—
373#435—21no—
374#435—21no—
375C2×#108—111no—
376C2×#108—111no—
377#423C2×D1111yescharacteristic
378C2×C4⋊C8—111no—
379C2×#104—111no—
380C2×#104—111no—
381C2×#104—111no—
382C2×#104—111no—
383C2×#104—111no—
384C2×#104—111no—
385#416—111no—
386#416—111no—
387#408C2×D1111yescharacteristic
388#408C2×D1111yescharacteristic
389#405—111no—
390#405—111no—
391#405—221no—
392#405—221no—
393C4×M16—111no—
394C4×M16—221no—
395C2×#97—111no—
396C2×#97—221no—
397C2×#97C2×D1111yescharacteristic
398C2×C4×C8—111no—
399C4×C4⋊C4—111no—
400#341—111no—
401#341—111no—
402#339—111no—
403#339—111no—
404#336—111no—
405#336—111no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11C2×C4×D411yescharacteristic
415C22×C11#52911yescharacteristic
416C22×C11#53211yescharacteristic
417C2×D11—22no—
418C2×D11—41no—
419C2×D11—41no—
420C4×C11—21no—
421C4×C11—21no—
422C4×C11—21no—
423C4×C11—21no—
424C4×C11—41no—
425C4×C11—41no—
426C4×C11C2×C4×D411yescharacteristic
427C4×C11C4×#4111yescharacteristic
428C4×C11C2×#12111yescharacteristic
429C4×C11#52511yescharacteristic
430Dic11—22no—
431Dic11—42no—
432Dic11—41no—
433Dic11—41no—
434Dic11—81no—
435C2×#41—111no—
436C2×#41C22×D1111yescharacteristic
437C2×#41C22×D1111yescharacteristic
438#135—222no—
439#135—222no—
440#135—222no—
441#135—222no—
442C2×Q16—111no—
443C2×Q16—111no—
444C2×SD16—111no—
445C2×SD16—111no—
446C2×SD16—111no—
447C2×SD16—111no—
448C2×D8—111no—
449C2×D8—111no—
450#131—22no—
451#131—22no—
452#131—22no—
453#131—22no—
454#131—114no—
455#131—222no—
456#131—222no—
457#131—222no—
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—111no—
461C2×M16—111no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16C22×D1111yescharacteristic
465C2×M16C22×D1111yescharacteristic
466C22×C8—21no—
467C22×C8—21no—
468C22×C8—111no—
469C22×C8—111no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8C22×D1111yescharacteristic
473C22×C8C22×D1111yescharacteristic
474C4⋊Q8C4×D1111yescharacteristic
475#127C4×D1111yescharacteristic
476#124C4×D1111yescharacteristic
477#124C4×D1111yescharacteristic
478#121—21no—
479#121—21no—
480C4×Q8—111no—
481C4×Q8—111no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—111no—
485C4×D4—111no—
486C4×D4—221no—
487C4×D4—221no—
488#117—111no—
489#117—221no—
490C2×C4⋊C4—221no—
491C2×C42—111no—
492C2×C42—111no—
493C2×C42—221no—
494C2×C42C22×D1111yescharacteristic
495#108—222no—
496#108—222no—
497C4⋊C8—21no—
498C4⋊C8—21no—
499C4⋊C8—111no—
500C4⋊C8—111no—
501C4⋊C8—111no—
502C4⋊C8—111no—
503#104—222no—
504#104—222no—
505#104—222no—
506#104—222no—
507#104—222no—
508#104—222no—
509#103—111no—
510#103—111no—
511#103—111no—
512#103—111no—
513#102—111no—
514#102—111no—
515#102—111no—
516#102—111no—
517C22⋊C8—21no—
518C22⋊C8—21no—
519C22⋊C8—21no—
520C22⋊C8—21no—
521#97—222no—
522#97—221no—
523#97—221no—
524#97—221no—
525#97C22⋊D1111yescharacteristic
526#97C22⋊D1111yescharacteristic
527#97C22⋊D1111yescharacteristic
528#97C22⋊D1111yescharacteristic
529C4×C8—222no—
530C4×C8—221no—
531C4×C8—221no—
532C4×C8—221no—
533#95—221no—
534C2×C11—21no—
535C2×C11—21no—
536C2×C11—81no—
537C2×C11—81no—
538C2×C11C4×#12111yescharacteristic
539C2×C11#295611yescharacteristic
540C2×C11#295711yescharacteristic
541D11—42no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—112no—
551#41—112no—
552#41—221no—
553#41—221no—
554C2×Q8—111no—
555C2×Q8C2×C4×D1111yescharacteristic
556C2×Q8C2×C4×D1111yescharacteristic
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—111no—
562C2×D4—221no—
563C2×D4C2×C4×D1111yescharacteristic
564C2×D4C2×C4×D1111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—221no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—221no—
571C22×C4—221no—
572C22×C4#433911yescharacteristic
573C22×C4#433911yescharacteristic
574C22×C4C23×D1111yescharacteristic
575Q16—222no—
576Q16—222no—
577SD16—222no—
578SD16—222no—
579SD16—222no—
580SD16—222no—
581D8—222no—
582D8—222no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—42no—
588M16—42no—
589M16—112no—
590M16—112no—
591M16—224no—
592M16—221no—
593M16—221no—
594M16—224no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—42no—
600C2×C8—42no—
601C2×C8—111no—
602C2×C8—111no—
603C2×C8—111no—
604C2×C8—111no—
605C2×C8—224no—
606C2×C8—221no—
607C2×C8—221no—
608C2×C8—221no—
609C2×C8—221no—
610C2×C8—221no—
611C2×C8—221no—
612C2×C8—224no—
613C2×C8D4×D1112yes—
614C2×C8#434112yes—
615C2×C8C2×C22⋊D1111yescharacteristic
616C2×C8C2×C22⋊D1111yescharacteristic
617C2×C8C2×C22⋊D1111yescharacteristic
618C2×C8C2×C22⋊D1111yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—111no—
622C4⋊C4—111no—
623C4⋊C4—221no—
624C4⋊C4—221no—
625C4⋊C4—442no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—221no—
631C22⋊C4—221no—
632C22⋊C4—221no—
633C42—221no—
634C42—221no—
635C42—221no—
636C42—221no—
637C42—221no—
638C42—221no—
639C42—221no—
640C42C2×C4×D1111yescharacteristic
641C42C2×C4×D1111yescharacteristic
642C42C2×C22⋊D1111yescharacteristic
643C42C2×C22⋊D1111yescharacteristic
644C11#2151911yescharacteristic, complemented, Sylow
645C23—21no—
646C23—21no—
647C23—221no—
648C23C2×#433911yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—21no—
652Q8—21no—
653Q8—112no—
654Q8—221no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—21no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—81no—
665D4—112no—
666D4—222no—
667D4—222no—
668D4—221no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—221no—
678C2×C4—222no—
679C2×C4—222no—
680C2×C4—222no—
681C2×C4—221no—
682C2×C4—221no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—881no—
689C2×C4—881no—
690C2×C4C4×C22⋊D1111yescharacteristic
691C2×C4C4×C22⋊D1111yescharacteristic
692C2×C4C4×C22⋊D1111yescharacteristic
693C2×C4C4×C22⋊D1111yescharacteristic
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C2×D4×D1111yescharacteristic
696C2×C4C2×#434111yescharacteristic
697C2×C4#41×D1111yescharacteristic
698C2×C4#41×D1111yescharacteristic
699C2×C4C22×C22⋊D1111yescharacteristic
700C8—21no—
701C8—21no—
702C8—41no—
703C8—41no—
704C8—221no—
705C8—221no—
706C8—221no—
707C8—221no—
708C8—222no—
709C8—222no—
710C8#6699112yes—
711C8#6699112yes—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—222no—
721C22—441no—
722C22—441no—
723C22#1062307911yescharacteristic
724C22#1062308811yescharacteristic
725C22C2×C4×C22⋊D1111yescharacteristic
726C4—21no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—41no—
731C4—41no—
732C4—222no—
733C4—442no—
734C4—441no—
735C4—441no—
736C4—881no—
737C4C4×#434111yescharacteristic
738C4C4×D4×D1111yescharacteristic
739C4C2×#6699111yescharacteristic
740C4#1062335911yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—81no—
745C2—442no—
746C2C4×#6699111yescharacteristic
747C2#1307752311yescharacteristic
748C2#1307753111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2932C2
socleC22×C11C2×C4×D4
prime radical#13078065C2
cosocleC22×C4×C11C24
hypercenter#2932D11
hypocenterC11#21519
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×#97 ◁ #2932

Complements

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

NH ≅ G/Ntype
2. C2×#10622758C2semidirect
3. C2×#10622757C2semidirect
4. #13077041C2semidirect
5. #13069536C2semidirect
6. #13069389C2semidirect
7. #13069261C2semidirect
8. #13069261C2semidirect
9. #13068946C2semidirect
10. #13068946C2semidirect
11. #13068633C2semidirect
12. #13068488C2semidirect
13. #13068458C2semidirect
14. #13068451C2semidirect
15. C11×#2932C2semidirect
48. #10622703C4semidirect
49. #10622696C4semidirect
50. #10622688C4semidirect
51. #10622685C4semidirect
52. #10622670C4semidirect
53. #10622670C4semidirect
54. #10622667C4semidirect
55. #10622667C4semidirect
118. #66954D4semidirect
274. #2932D11semidirect
644. C11#21519semidirect

Maximal subgroups

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

subgroupindex
#130780652
C2×#106227582
C2×#106227572
#130770412
#130695362
#130693892
#130692612
#130689462
#130686332
#130684882
#130684582
#130684512
C11×#29322
#2151911