Finite Group Databasebeta

← C2×#13069888 #14781602

Subgroups — C2×#13069888 #14781602

Order 2816.

1450 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66985C211yesmaximal, characteristic
2C2×#10622738C211yesmaximal, characteristic, complemented
3C2×#10622752C211yesmaximal, characteristic, complemented
4C2×#10622828C211yesmaximal, characteristic, complemented
5C2×#10622745C211yesmaximal, characteristic, complemented
6#13069888C218yesmaximal, direct product factor
7C2×#10622194C211yesmaximal, characteristic, complemented
8C22×C11×#100C211yesmaximal, characteristic, complemented
9C23×D4×C11C2211yescharacteristic
10C22×#4339C2211yescharacteristic
11C22×C11×M16C2211yescharacteristic
12C22×C11×M16C2211yescharacteristic
13C22×#4324—21no—
14C2×#66985—22no—
15C2×#66985—22no—
16C2×#66985—22no—
17C2×#66985—22no—
18C2×#66985—22no—
19C2×#66985C2214yes—
20C22×#4323—21no—
21C2×#66979C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C2×C11×#100—22no—
25C2×C11×#100—22no—
26C2×C11×#100C2214yescomplemented
27#10622828—22no—
28#10622828C2214yescomplemented
29C2×#66896—22no—
30#10622752—22no—
31#10622752C2214yescomplemented
32C2×#66889—22no—
33C2×#66888—21no—
34#10622745—22no—
35#10622745C2214yescomplemented
36C2×#66887—21no—
37#10622738—22no—
38#10622738C2214yescomplemented
39C2×#66883—22no—
40#10622194C2214yescomplemented
41C25×C11—21no—
42C22×D4×C11—21no—
43C22×D4×C11—21no—
44C22×D4×C11—21no—
45C22×D4×C11—21no—
46C22×D4×C11—21no—
47C22×D4×C11—21no—
48C22×D4×C11—21no—
49C22×D4×C11—21no—
50C22×D4×C11—21no—
51C22×D4×C11—21no—
52C22×D4×C11—21no—
53C22×D4×C11D412yes—
54C22×D4×C11D412yes—
55C22×D4×C11C2312yes—
56C23×C4×C11C2311yescharacteristic
57C22×C22⋊D11—21no—
58C2×#4339—21no—
59C2×#4339—21no—
60C2×#4339—21no—
61C2×#4339—21no—
62C2×#4339—21no—
63C2×#4339—21no—
64C2×#4339—21no—
65C2×#4339—21no—
66C2×#4339—21no—
67C2×#4339—21no—
68C2×#4339D412yes—
69C2×#4339C2312yes—
70C22×D44D411yescharacteristic
71C22×C4×D11—21no—
72C22×Dic22D411yescharacteristic
73C2×C11×M16—21no—
74C2×C11×M16—21no—
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16—21no—
79C2×C11×M16—21no—
80C2×C11×M16—21no—
81C2×C11×M16D412yes—
82C2×C11×M16D412yes—
83C2×C11×M16C2312yes—
84C2×C11×M16C2312yes—
85C22×C8×C11—21no—
86C22×C8×C11—21no—
87C2×C22⋊Dic11—21no—
88C2×#4324—24no—
89C2×#4324—24no—
90C2×#4324—24no—
91#66985—28no—
92#66985—28no—
93#66985—28no—
94#66985—28no—
95C2×#4323—24no—
96C2×#4323—24no—
97C2×#4323—24no—
98#66979—21no—
99#66979—21no—
100#66979—21no—
101#66979C2312yes—
102C2×C4⋊Dic11—21no—
103C2×C4×Dic11—21no—
104C2×#4318—21no—
105C2×#4318—21no—
106C2×#4318—21no—
107C2×#4318—21no—
108C2×#4318—21no—
109C2×#4318—21no—
110C2×#4318—21no—
111C2×#4318—21no—
112C2×#4318D412yes—
113C2×#4318D412yes—
114C2×#4318C2312yes—
115C2×#4318C2312yes—
116C22×C11⋊C8—21no—
117C22×C11⋊C8—21no—
118C11×#100—28no—
119#66896—28no—
120#66889—28no—
121#66888—24no—
122#66887—24no—
123#66883—28no—
124C2×#2048—111nomaximal, Sylow
125C24×C11—22no—
126C24×C11—22no—
127C24×C11—22no—
128C24×C11—41no—
129C24×C11—41no—
130C24×C11—41no—
131C24×C11—41no—
132C24×C11—84no—
133C24×C11#4111yescharacteristic
134C23×D11—21no—
135C2×D4×C11—22no—
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—22no—
139C2×D4×C11—22no—
140C2×D4×C11—22no—
141C2×D4×C11—22no—
142C2×D4×C11—22no—
143C2×D4×C11—22no—
144C2×D4×C11—22no—
145C2×D4×C11—22no—
146C2×D4×C11—22no—
147C2×D4×C11—22no—
148C2×D4×C11—22no—
149C2×D4×C11—22no—
150C2×D4×C11—41no—
151C2×D4×C11—41no—
152C2×D4×C11—41no—
153C2×D4×C11—41no—
154C2×D4×C11—41no—
155C2×D4×C11—41no—
156C2×D4×C11—41no—
157C2×D4×C11—41no—
158C2×D4×C11—41no—
159C2×D4×C11—41no—
160C2×D4×C11—41no—
161C2×D4×C11—41no—
162C2×D4×C11C2×D414yes—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11#4111yescharacteristic
172C22×C4×C11#4111yescharacteristic
173C22×C4×C11#4111yescharacteristic
174C22×C4×C11#4111yescharacteristic
175C22×C4×C11#4111yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C2×C22⋊D11—22no—
178C2×C22⋊D11—22no—
179C2×C22⋊D11—41no—
180C2×C22⋊D11—41no—
181C2×C22⋊D11—41no—
182C2×C22⋊D11—41no—
183C22×Dic11—21no—
184C22×Dic11—41no—
185#4339—22no—
186#4339—22no—
187#4339—22no—
188#4339—22no—
189#4339—22no—
190#4339—22no—
191#4339—22no—
192#4339—22no—
193#4339—41no—
194#4339—41no—
195#4339—41no—
196#4339—41no—
197#4339—41no—
198#4339—41no—
199#4339—41no—
200#4339—41no—
201C2×D44—21no—
202C2×D44—21no—
203C2×D44—21no—
204C2×D44—21no—
205C2×D44—21no—
206C2×D44C2×D412yes—
207C2×C4×D11—22no—
208C2×C4×D11—22no—
209C2×C4×D11—41no—
210C2×C4×D11—41no—
211C2×C4×D11—41no—
212C2×C4×D11—41no—
213C2×Dic22—21no—
214C2×Dic22—21no—
215C2×Dic22—21no—
216C2×Dic22—21no—
217C2×Dic22—21no—
218C2×Dic22C2×D412yes—
219C11×M16—22no—
220C11×M16—22no—
221C11×M16—22no—
222C11×M16—22no—
223C11×M16—22no—
224C11×M16—41no—
225C11×M16—41no—
226C11×M16C2×D414yes—
227C2×C8×C11—22no—
228C2×C8×C11—22no—
229C2×C8×C11—22no—
230C2×C8×C11—22no—
231C2×C8×C11—41no—
232C2×C8×C11—41no—
233C22⋊Dic11—22no—
234C22⋊Dic11—41no—
235#4324—216no—
236#4323—216no—
237C4⋊Dic11—22no—
238C4⋊Dic11—41no—
239C4×Dic11—22no—
240C4×Dic11—41no—
241#4318—22no—
242#4318—22no—
243#4318—22no—
244#4318—22no—
245#4318—22no—
246#4318—41no—
247#4318—41no—
248#4318C2×D414yes—
249C2×C11⋊C8—22no—
250C2×C11⋊C8—22no—
251C2×C11⋊C8—22no—
252C2×C11⋊C8—22no—
253C2×C11⋊C8—41no—
254C2×C11⋊C8—41no—
255C22×AGL(1,ℤ/8)—111no—
256C2×#430—111no—
257C2×#421—111no—
258C2×#418—111no—
259C2×#413—111no—
260C22×#100D1111yescharacteristic, complemented
261#2048—118no—
262C2×#344—111no—
263C23×C11—24no—
264C23×C11—42no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—42no—
268C23×C11—42no—
269C23×C11—42no—
270C23×C11—42no—
271C23×C11—84no—
272C23×C11—84no—
273C23×C11—84no—
274C23×C11—84no—
275C23×C11—84no—
276C23×C11—84no—
277C23×C11—84no—
278C23×C11#12111yescharacteristic
279C23×C11#12111yescharacteristic
280C23×C11#12311yescharacteristic
281C23×C11#12311yescharacteristic
282C23×C11#12411yescharacteristic
283C23×C11#12411yescharacteristic
284C23×C11C2×#4111yescharacteristic
285C22×D11—22no—
286C22×D11—41no—
287C22×D11—41no—
288C22×D11—82no—
289D4×C11—24no—
290D4×C11—24no—
291D4×C11—42no—
292D4×C11—42no—
293D4×C11—42no—
294D4×C11—42no—
295D4×C11—42no—
296D4×C11—42no—
297C2×C4×C11#12011yescharacteristic
298C2×C4×C11#12011yescharacteristic
299C2×C4×C11#12011yescharacteristic
300C2×C4×C11#12011yescharacteristic
301C2×C4×C11#12111yescharacteristic
302C2×C4×C11#12111yescharacteristic
303C2×C4×C11#12111yescharacteristic
304C2×C4×C11#12111yescharacteristic
305C2×C4×C11#12111yescharacteristic
306C2×C4×C11#12111yescharacteristic
307C2×C4×C11#12111yescharacteristic
308C2×C4×C11#12111yescharacteristic
309C2×C4×C11#12111yescharacteristic
310C2×C4×C11#12111yescharacteristic
311C2×C4×C11#12311yescharacteristic
312C2×C4×C11#12311yescharacteristic
313C2×C4×C11#12311yescharacteristic
314C2×C4×C11#12311yescharacteristic
315C2×C4×C11#12311yescharacteristic
316C2×C4×C11#12311yescharacteristic
317C2×C4×C11#12411yescharacteristic
318C2×C4×C11#12411yescharacteristic
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C22×D411yescharacteristic
323C2×C4×C11C2×#4111yescharacteristic
324C2×C4×C11C2×#4111yescharacteristic
325C22⋊D11—42no—
326C22⋊D11—42no—
327C22⋊D11—42no—
328C22⋊D11—42no—
329C2×Dic11—22no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C2×Dic11—42no—
333C2×Dic11—82no—
334D44—22no—
335D44—22no—
336D44—41no—
337D44—41no—
338C4×D11—42no—
339C4×D11—42no—
340C4×D11—42no—
341C4×D11—42no—
342Dic22—22no—
343Dic22—22no—
344Dic22—41no—
345Dic22—41no—
346C8×C11—24no—
347C8×C11—42no—
348C11⋊C8—24no—
349C11⋊C8—42no—
350C22×#41—111no—
351C23×D4C2×D1111yescharacteristic
352C2×AGL(1,ℤ/8)—114no—
353C2×AGL(1,ℤ/8)—222no—
354C2×AGL(1,ℤ/8)—222no—
355C2×AGL(1,ℤ/8)—222no—
356C2×AGL(1,ℤ/8)—222no—
357C2×AGL(1,ℤ/8)—222no—
358C22×SD16—221no—
359C22×D8—221no—
360C22×M16—111no—
361C22×M16—111no—
362C22×M16C2×D1111yescharacteristic
363C22×M16C2×D1111yescharacteristic
364C2×#117—111no—
365#430—114no—
366#430—222no—
367C2×#108—222no—
368#421—114no—
369#421—222no—
370C2×#104—222no—
371#418—114no—
372#418—222no—
373C2×#102—222no—
374#413—114no—
375#413—222no—
376C2×#101—221no—
377C2×#100—22no—
378C2×#100—22no—
379C2×#100—221no—
380C2×#100C2×D1114yescomplemented
381#344—114no—
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—44no—
390C22×C11—84no—
391C22×C11—84no—
392C22×C11—84no—
393C22×C11—84no—
394C22×C11—84no—
395C22×C11—84no—
396C22×C11—84no—
397C22×C11#39411yescharacteristic
398C22×C11#39411yescharacteristic
399C22×C11#39411yescharacteristic
400C22×C11#39411yescharacteristic
401C22×C11C2×#12111yescharacteristic
402C22×C11C2×#12311yescharacteristic
403C22×C11C2×#12411yescharacteristic
404C2×D11—42no—
405C2×D11—82no—
406C2×D11—82no—
407C2×D11—82no—
408C4×C11#39411yescharacteristic
409C4×C11#39411yescharacteristic
410C4×C11#39411yescharacteristic
411C4×C11#39411yescharacteristic
412C4×C11C2×#12011yescharacteristic
413C4×C11C2×#12111yescharacteristic
414C4×C11C2×#12111yescharacteristic
415C4×C11C2×#12311yescharacteristic
416Dic11—42no—
417Dic11—82no—
418C25—21no—
419C2×#41—112no—
420C2×#41—112no—
421C2×#41—221no—
422C2×#41—221no—
423C2×#41—221no—
424C2×#41—221no—
425C2×#41—221no—
426C2×#41—221no—
427C2×#41—221no—
428C2×#41—221no—
429C2×#41—221no—
430C2×#41—221no—
431C22×Q8—111no—
432C22×D4—21no—
433C22×D4—21no—
434C22×D4—21no—
435C22×D4—21no—
436C22×D4—21no—
437C22×D4—21no—
438C22×D4—21no—
439C22×D4—21no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—21no—
443C22×D4—111no—
444C22×D4—221no—
445C22×D4D4412yes—
446C22×D4D4412yes—
447C22×D4C22×D1112yes—
448C23×C4—221no—
449C23×C4C22×D1111yescharacteristic
450AGL(1,ℤ/8)—228no—
451AGL(1,ℤ/8)—228no—
452AGL(1,ℤ/8)—228no—
453AGL(1,ℤ/8)—228no—
454C2×SD16—224no—
455C2×SD16—224no—
456C2×SD16—224no—
457C2×D8—224no—
458C2×D8—224no—
459C2×D8—224no—
460C2×M16—21no—
461C2×M16—21no—
462C2×M16—21no—
463C2×M16—21no—
464C2×M16—21no—
465C2×M16—21no—
466C2×M16—21no—
467C2×M16—21no—
468C2×M16—112no—
469C2×M16—112no—
470C2×M16—112no—
471C2×M16—112no—
472C2×M16—221no—
473C2×M16—221no—
474C2×M16—221no—
475C2×M16—221no—
476C2×M16—221no—
477C2×M16—221no—
478C2×M16—221no—
479C2×M16—221no—
480C2×M16C22⋊D1112yes—
481C2×M16C22⋊D1112yes—
482C2×M16C22×D1112yes—
483C2×M16C22×D1112yes—
484C22×C8—21no—
485C22×C8—21no—
486C22×C8—221no—
487C22×C8—221no—
488#117—112no—
489#117—221no—
490#117—221no—
491#117—221no—
492C2×C4⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C42—221no—
495#108—228no—
496#104—228no—
497#102—228no—
498#101—224no—
499#100—28no—
500#100—224no—
501C2×C11—21no—
502C2×C11—21no—
503C2×C11—21no—
504C2×C11—21no—
505C2×C11—21no—
506C2×C11—21no—
507C2×C11—84no—
508C2×C11#204812yescomplemented
509C2×C11C2×#39411yescharacteristic
510D11—82no—
511C24—22no—
512C24—22no—
513C24—22no—
514C24—41no—
515C24—41no—
516C24—41no—
517C24—41no—
518C24—84no—
519C24—221no—
520C24#433911yescharacteristic
521#41—222no—
522#41—222no—
523#41—222no—
524#41—222no—
525#41—222no—
526#41—222no—
527#41—222no—
528#41—222no—
529#41—441no—
530#41—441no—
531#41—441no—
532#41—441no—
533#41—441no—
534#41—441no—
535#41—441no—
536#41—441no—
537C2×Q8—112no—
538C2×Q8—221no—
539C2×Q8—221no—
540C2×Q8—221no—
541C2×Q8—221no—
542C2×Q8—221no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—41no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—41no—
565C2×D4—41no—
566C2×D4—41no—
567C2×D4—41no—
568C2×D4—41no—
569C2×D4—41no—
570C2×D4—112no—
571C2×D4—222no—
572C2×D4—222no—
573C2×D4—221no—
574C2×D4—221no—
575C2×D4—221no—
576C2×D4—221no—
577C2×D4—221no—
578C2×D4—441no—
579C2×D4—441no—
580C2×D4—441no—
581C2×D4—441no—
582C2×D4C2×D4414yes—
583C22×C4—221no—
584C22×C4—222no—
585C22×C4—222no—
586C22×C4—441no—
587C22×C4—441no—
588C22×C4—441no—
589C22×C4—441no—
590C22×C4—441no—
591C22×C4C2×D4411yescharacteristic
592C22×C4C2×D4411yescharacteristic
593C22×C4#433911yescharacteristic
594C22×C4D4×D1111yescharacteristic
595C22×C4D4×D1111yescharacteristic
596C22×C4D4×D1111yescharacteristic
597C22×C4D4×D1111yescharacteristic
598C22×C4#434111yescharacteristic
599C22×C4#434111yescharacteristic
600C22×C4#434111yescharacteristic
601C22×C4#434111yescharacteristic
602C22×C4C2×C22⋊D1111yescharacteristic
603C22×C4C2×C22⋊D1111yescharacteristic
604C22×C4C23×D1111yescharacteristic
605SD16—2216no—
606D8—2216no—
607M16—22no—
608M16—22no—
609M16—22no—
610M16—22no—
611M16—22no—
612M16—41no—
613M16—41no—
614M16—114no—
615M16—222no—
616M16—222no—
617M16—222no—
618M16—222no—
619M16—222no—
620M16—441no—
621M16—441no—
622M16C2×C22⋊D1114yes—
623C2×C8—22no—
624C2×C8—22no—
625C2×C8—22no—
626C2×C8—22no—
627C2×C8—41no—
628C2×C8—41no—
629C2×C8—222no—
630C2×C8—222no—
631C2×C8—222no—
632C2×C8—222no—
633C2×C8—441no—
634C2×C8—441no—
635C4⋊C4—222no—
636C4⋊C4—441no—
637C22⋊C4—222no—
638C22⋊C4—441no—
639C42—222no—
640C42—441no—
641C11C2×#204811yescharacteristic, complemented, Sylow
642C23—24no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23—84no—
654C23—84no—
655C23—84no—
656C23—84no—
657C23—222no—
658C23—441no—
659C23—441no—
660C23—882no—
661C23#6693611yescharacteristic
662C23#6693611yescharacteristic
663C23#6693811yescharacteristic
664C23#6693811yescharacteristic
665C23#6698311yescharacteristic
666C23#6698311yescharacteristic
667C23C2×#433911yescharacteristic
668Q8—222no—
669Q8—222no—
670Q8—441no—
671Q8—441no—
672D4—24no—
673D4—24no—
674D4—42no—
675D4—42no—
676D4—42no—
677D4—42no—
678D4—42no—
679D4—42no—
680D4—222no—
681D4—222no—
682D4—442no—
683D4—442no—
684D4—442no—
685D4—442no—
686D4—441no—
687D4—441no—
688C2×C4—222no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—882no—
697C2×C4#6693511yescharacteristic
698C2×C4#6693511yescharacteristic
699C2×C4#6693511yescharacteristic
700C2×C4#6693511yescharacteristic
701C2×C4#6693611yescharacteristic
702C2×C4#6693611yescharacteristic
703C2×C4#6693811yescharacteristic
704C2×C4#6693811yescharacteristic
705C2×C4#6693911yescharacteristic
706C2×C4#6693911yescharacteristic
707C2×C4#6693911yescharacteristic
708C2×C4#6693911yescharacteristic
709C2×C4#6698311yescharacteristic
710C2×C4#6698311yescharacteristic
711C2×C4#6699111yescharacteristic
712C2×C4#6699111yescharacteristic
713C2×C4#6699111yescharacteristic
714C2×C4#6699111yescharacteristic
715C2×C4#6699211yescharacteristic
716C2×C4#6699211yescharacteristic
717C2×C4#6699211yescharacteristic
718C2×C4#6699211yescharacteristic
719C2×C4C22×D4411yescharacteristic
720C2×C4C2×D4×D1111yescharacteristic
721C2×C4C2×D4×D1111yescharacteristic
722C2×C4C2×#434111yescharacteristic
723C2×C4C2×#434111yescharacteristic
724C2×C4C22×C22⋊D1111yescharacteristic
725C8—24no—
726C8—42no—
727C8—224no—
728C8—442no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—44no—
737C22—84no—
738C22—84no—
739C22—84no—
740C22—84no—
741C22—84no—
742C22—84no—
743C22—84no—
744C22—442no—
745C22—882no—
746C22—882no—
747C22—882no—
748C22#1062257411yescharacteristic
749C22#1062257411yescharacteristic
750C22#1062257411yescharacteristic
751C22#1062257411yescharacteristic
752C22C2×#6693611yescharacteristic
753C22C2×#6693811yescharacteristic
754C22C2×#6698311yescharacteristic
755C4—442no—
756C4—882no—
757C4#1062257411yescharacteristic
758C4#1062257411yescharacteristic
759C4#1062257411yescharacteristic
760C4#1062257411yescharacteristic
761C4C2×#6693511yescharacteristic
762C4C2×#6693911yescharacteristic
763C4C2×#6699111yescharacteristic
764C4C2×#6699211yescharacteristic
765C2—21no—
766C2—21no—
767C2—21no—
768C2—21no—
769C2—21no—
770C2—21no—
771C2—84no—
772C2—882no—
773C2#1306988812yesdirect product factor
774C2C2×#1062257411yescharacteristic
subgroupG/H
centerC22#10622574
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#100C2
socleC22×C11#394
prime radicalC22×#66985C2
hypercenterC22×#100D11
hypocenterC11C2×#2048
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#100

Complements

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

NH ≅ G/Ntype
2. C2×#10622738C2semidirect
3. C2×#10622752C2semidirect
4. C2×#10622828C2semidirect
5. C2×#10622745C2semidirect
6. #13069888C2direct (N × H)
7. C2×#10622194C2semidirect
8. C22×C11×#100C2semidirect
26. C2×C11×#100C22semidirect
28. #10622828C22semidirect
31. #10622752C22semidirect
35. #10622745C22semidirect
38. #10622738C22semidirect
40. #10622194C22semidirect
260. C22×#100D11semidirect
380. C2×#100C2×D11semidirect
508. C2×C11#2048semidirect
641. C11C2×#2048semidirect
773. C2#13069888direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669852
C2×#106227382
C2×#106227522
C2×#106228282
C2×#106227452
#130698882
C2×#106221942
C22×C11×#1002
C2×#204811