Finite Group Databasebeta

← #14760153

Subgroups — #14760153

Order 2816.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622763C211yesmaximal, characteristic
2C2×#10622627C211yesmaximal, characteristic, complemented
3#13071338C211yesmaximal, characteristic, complemented
4#13070977C211yesmaximal, characteristic, complemented
5#13069541C211yesmaximal, characteristic, complemented
6#13069381C211yesmaximal, characteristic, complemented
7#13069246C211yesmaximal, characteristic, complemented
8#13069235C211yesmaximal, characteristic, complemented
9#13068966C211yesmaximal, characteristic, complemented
10#13068962C211yesmaximal, characteristic, complemented
11#13068624C211yesmaximal, characteristic, complemented
12#13068474C211yesmaximal, characteristic, complemented
13#13068441C211yesmaximal, characteristic, complemented
14C4×#66885C211yesmaximal, characteristic, complemented
15C2×C4×C11×D8C211yesmaximal, characteristic, complemented
16C22×C11×D8C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66993C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C22×#4323C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C4×C11×D8—24no—
25C2×C11×#107C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C4×C8×C11C2211yescharacteristic
29#10622834C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33#10622826—21no—
34#10622826—21no—
35C4×C22⋊Dic11—21no—
36C2×C11⋊#95—21no—
37#10622763C418yescomplemented
38C2×#66885C2211yescharacteristic
39C2×#66885C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42#10622627—24no—
43#10622601C2211yescharacteristic
44#10622590C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47C2×#66873C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49#10622569—21no—
50#10622569—21no—
51C22⋊C4×Dic11—21no—
52C22⋊C4×Dic11—21no—
53C4×C4⋊Dic11C2211yescharacteristic
54#10622545C2211yescharacteristic
55C2×#66867C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C22×C22⋊D11—21no—
67C22×C22⋊D11—21no—
68C23×Dic11—21no—
69C23×Dic11—21no—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C2×C11×D8—22no—
73C2×C11×D8—22no—
74C2×C11×D8C2×C414yescomplemented
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C4×D4×C11—22no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11D414yescomplemented
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C42×C11C2311yescharacteristic
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90#66993—22no—
91#66993C2×C414yescomplemented
92D4×Dic11—22no—
93D4×Dic11—22no—
94D4×Dic11—22no—
95D4×Dic11C2×C414yescomplemented
96C2×#4323—22no—
97C2×#4323—22no—
98C2×#4323C2×C414yescomplemented
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C4×D44—22no—
113C4×D44—22no—
114C11×#107—22no—
115C11×#102—22no—
116C11×#102—22no—
117C4×C8×C11—22no—
118#66896—22no—
119#66896—22no—
120#66896C2×C414yescomplemented
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95D411yescharacteristic
127C11⋊#95D411yescharacteristic
128C11⋊#95D411yescharacteristic
129C11⋊#95D411yescharacteristic
130#66885—22no—
131#66885C2×C414yescomplemented
132Dic11⋊C8—22no—
133Dic11⋊C8C2×C414yescomplemented
134#66873—22no—
135#66872—22no—
136#66867—22no—
137#21513—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C23×D11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11C22×C412yes—
150C2×D4×C11C22×C412yes—
151C2×D4×C11C2×D412yes—
152C2×D4×C11#4112yes—
153C22×C4×C11—21no—
154C22×C4×C11—24no—
155C22×C4×C11—21no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11—81no—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2411yescharacteristic
164C2×C22⋊D11—24no—
165C2×C22⋊D11—24no—
166C2×C22⋊D11—81no—
167C2×C22⋊D11—81no—
168C2×C22⋊D11—81no—
169C2×C22⋊D11—81no—
170C22×Dic11—24no—
171C22×Dic11—24no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—81no—
176C22×Dic11—81no—
177C22×Dic11—81no—
178C22×Dic11—81no—
179C22×Dic11C2×D411yescharacteristic
180C22×Dic11C2×D411yescharacteristic
181C22×Dic11C2×D411yescharacteristic
182C22×Dic11C2×D411yescharacteristic
183C2×D44—21no—
184C2×D44—21no—
185C2×D44—21no—
186C2×D44—21no—
187C2×D44—21no—
188C2×D44C22×C412yes—
189C2×C4×D11—42no—
190C2×C4×D11—81no—
191C2×C4×D11—81no—
192C11×D8—28no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11C22×C412yes—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—42no—
205C42×C11C2×D412yes—
206C42×C11#4112yes—
207C22⋊Dic11—24no—
208C22⋊Dic11—24no—
209C22⋊Dic11—81no—
210C22⋊Dic11—81no—
211#4323—28no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4—81no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11C22×C412yes—
220C4⋊Dic11#4112yes—
221C4×Dic11—21no—
222C4×Dic11—21no—
223C4×Dic11—81no—
224C4×Dic11—81no—
225C4×Dic11—81no—
226C4×Dic11C22×C412yes—
227C4×Dic11#4112yes—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8C22×C412yes—
234C2×#459—111no—
235C2×#442—111no—
236C2×C4×D8D1111yescharacteristic, complemented
237#2328—111no—
238#2275—111no—
239#1982—111no—
240#1949—111no—
241#1926—111no—
242#1925—111no—
243#1879—111no—
244#1879—111no—
245#1804—111no—
246#1768—111no—
247#1762—111no—
248C4×#102—111no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271D4×C11—22no—
272D4×C11—22no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—22no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11C4×D414yes—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—22no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—84no—
290C2×C4×C11—84no—
291C2×C4×C11#12112yes—
292C2×C4×C11#12112yes—
293C2×C4×C11C23×C411yescharacteristic
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C22⋊D11—84no—
300C22⋊D11—84no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—22no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—22no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—84no—
321C2×Dic11—84no—
322C2×Dic11C4×D412yes—
323C2×Dic11C4×D412yes—
324D44—22no—
325D44—22no—
326D44—41no—
327D44—41no—
328C4×D11—84no—
329C8×C11—22no—
330C8×C11—41no—
331C11⋊C8—22no—
332C11⋊C8—41no—
333C22×D8—111no—
334C22×D8C2×D1111yescharacteristic
335C2×#127—111no—
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4C2×D1111yescharacteristic
340C2×C4×D4C2×D1111yescharacteristic
341#459—118no—
342#442—224no—
343C4×D8—24no—
344C2×#107C2×D1111yescharacteristic
345C2×#106—111no—
346C2×C4⋊C8—111no—
347C2×C4⋊C8—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102C2×D1111yescharacteristic
355C2×#102C2×D1111yescharacteristic
356C2×#97—111no—
357C2×C4×C8C2×D1111yescharacteristic
358#390—111no—
359#390—111no—
360#386—221no—
361#386—221no—
362#386—221no—
363#386—221no—
364#382—111no—
365C4×C4⋊C4—111no—
366C4×C4⋊C4—111no—
367C4×C4⋊C4—111no—
368C4×C22⋊C4—221no—
369C4×C22⋊C4—221no—
370C4×C22⋊C4—221no—
371#376—111no—
372C2×#95—221no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#336—111no—
378#336—111no—
379C22×C11—24no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11C2×C4×D411yescharacteristic
394C22×C11C2×#12111yescharacteristic
395C22×C11#52511yescharacteristic
396C22×C11#57611yescharacteristic
397C22×C11#57611yescharacteristic
398C22×C11#57611yescharacteristic
399C22×C11#57711yescharacteristic
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C2×D11—81no—
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—42no—
410C4×C11—81no—
411C4×C11C2×C4×D411yescharacteristic
412C4×C11C4×#4111yescharacteristic
413C4×C11#52911yescharacteristic
414C4×C11#53211yescharacteristic
415Dic11—22no—
416Dic11—22no—
417Dic11—41no—
418Dic11—41no—
419Dic11—42no—
420Dic11—42no—
421Dic11—81no—
422C22×D4—111no—
423C22×D4—221no—
424C22×D4—221no—
425C22×D4C22×D1111yescharacteristic
426C22×D4C22×D1111yescharacteristic
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—221no—
430C23×C4—221no—
431C23×C4—221no—
432C2×D8—22no—
433C2×D8—22no—
434C2×D8—114no—
435C2×D8—222no—
436C2×D8—222no—
437C2×D8C4×D1114yescomplemented
438C22×C8—111no—
439C22×C8—111no—
440C22×C8C22×D1111yescharacteristic
441C22×C8C22×D1111yescharacteristic
442#127—114no—
443#127—222no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—114no—
448C4×D4—222no—
449C4×D4—222no—
450C4×D4—222no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4C22⋊D1114yescomplemented
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474#107—22no—
475#106—222no—
476C4⋊C8—114no—
477C4⋊C8—222no—
478#102—22no—
479#102—22no—
480#102—114no—
481#102—114no—
482#102—222no—
483#102—222no—
484#102—222no—
485#102—222no—
486#97—222no—
487C4×C8—22no—
488#95—111no—
489#95—111no—
490#95—111no—
491#95—111no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497C2×C11—44no—
498C2×C11—82no—
499C2×C11C4×#12111yescharacteristic
500C2×C11#294611yescharacteristic
501C2×C11#294811yescharacteristic
502C2×C11#304111yescharacteristic
503C2×C11#304511yescharacteristic
504C2×C11#311911yescharacteristic
505C2×C11#312211yescharacteristic
506D11—82no—
507C24—21no—
508C24—21no—
509C24—221no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—112no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—881no—
527C2×D4—881no—
528C2×D4—881no—
529C2×D4—881no—
530C2×D4C2×C4×D1112yes—
531C2×D4C2×C4×D1112yes—
532C2×D4#433912yes—
533C2×D4C2×C22⋊D1112yes—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4—81no—
541C22×C4—81no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—224no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—224no—
550C22×C4—221no—
551C22×C4—442no—
552C22×C4—881no—
553C22×C4—881no—
554C22×C4—881no—
555C22×C4—881no—
556C22×C4—881no—
557C22×C4—881no—
558C22×C4D4×D1111yescharacteristic
559C22×C4D4×D1111yescharacteristic
560C22×C4C23×D1111yescharacteristic
561D8—28no—
562D8—228no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—112no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8C2×C4×D1112yes—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4C2×C22⋊D1112yes—
585C22⋊C4—24no—
586C22⋊C4—42no—
587C22⋊C4—224no—
588C22⋊C4—224no—
589C22⋊C4—442no—
590C22⋊C4—881no—
591C22⋊C4—881no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—112no—
595C42—112no—
596C42—221no—
597C42—221no—
598C42—881no—
599C42—881no—
600C42—881no—
601C42#434112yes—
602C42C2×C22⋊D1112yes—
603C11#2151311yescharacteristic, complemented, Sylow
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—222no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—441no—
625C23C2×D4×D1111yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—222no—
634D4—222no—
635D4—441no—
636D4—441no—
637D4—884no—
638D4—884no—
639D4C4×C22⋊D1114yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—84no—
651C2×C4—84no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—222no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—222no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—884no—
674C2×C4—884no—
675C2×C4—884no—
676C2×C4#6699212yes—
677C2×C4#6699212yes—
678C2×C4C22×C4×D1111yescharacteristic
679C2×C4C2×#433911yescharacteristic
680C2×C4C2×#434111yescharacteristic
681C2×C4#41×D1111yescharacteristic
682C2×C4#41×D1111yescharacteristic
683C2×C4C22×C22⋊D1111yescharacteristic
684C8—22no—
685C8—41no—
686C8—222no—
687C8—441no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—442no—
703C22—442no—
704C22—442no—
705C22—881no—
706C22—881no—
707C22—881no—
708C22—881no—
709C22C4×D4×D1111yescharacteristic
710C22#1062307811yescharacteristic
711C22#1062328811yescharacteristic
712C22#1062328811yescharacteristic
713C22#1062330011yescharacteristic
714C22#1062330111yescharacteristic
715C22C2×#6699211yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—81no—
720C4—222no—
721C4—222no—
722C4—441no—
723C4—441no—
724C4—442no—
725C4—442no—
726C4—881no—
727C4C4×#434111yescharacteristic
728C4#1062306911yescharacteristic
729C4C2×C4×C22⋊D1111yescharacteristic
730C4#1062336311yescharacteristic
731C2—44no—
732C2—82no—
733C2—882no—
734C2C4×#6699211yescharacteristic
735C2#1307744111yescharacteristic
736C2#1307746311yescharacteristic
737C2#1307811611yescharacteristic
738C2#1307815311yescharacteristic
739C2#1307881111yescharacteristic
740C2#1307885611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C4×C11×D8C2
socleC23×C11C22×D4
prime radicalC2×#10622763C2
cosocleC22×C4×C11C24
hypercenterC2×C4×D8D11
hypocenterC11#21513
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
2. C2×#10622627C2semidirect
3. #13071338C2semidirect
4. #13070977C2semidirect
5. #13069541C2semidirect
6. #13069381C2semidirect
7. #13069246C2semidirect
8. #13069235C2semidirect
9. #13068966C2semidirect
10. #13068962C2semidirect
11. #13068624C2semidirect
12. #13068474C2semidirect
13. #13068441C2semidirect
14. C4×#66885C2semidirect
15. C2×C4×C11×D8C2semidirect
37. #10622763C4semidirect
74. C2×C11×D8C2×C4semidirect
80. C4×D4×C11D4semidirect
91. #66993C2×C4semidirect
95. D4×Dic11C2×C4semidirect
98. C2×#4323C2×C4semidirect
120. #66896C2×C4semidirect
131. #66885C2×C4semidirect
133. Dic11⋊C8C2×C4semidirect
236. C2×C4×D8D11semidirect
437. C2×D8C4×D11semidirect
453. C4×D4C22⋊D11semidirect
603. C11#21513semidirect

Maximal subgroups

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

subgroupindex
C2×#106227632
C2×#106226272
#130713382
#130709772
#130695412
#130693812
#130692462
#130692352
#130689662
#130689622
#130686242
#130684742
#130684412
C4×#668852
C2×C4×C11×D82
#2151311