Finite Group Databasebeta

← C2×#13069889 #14781603

Subgroups — C2×#13069889 #14781603

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×#67002C211yesmaximal, characteristic
2C2×#10622737C211yesmaximal, characteristic, complemented
3C2×#10622849C211yesmaximal, characteristic, complemented
4C2×#10622744C211yesmaximal, characteristic, complemented
5C22×#66887C211yesmaximal, characteristic, complemented
6#13069889C218yesmaximal, direct product factor
7C2×#10622194C211yesmaximal, characteristic, complemented
8C2×C11×#413C211yesmaximal, characteristic, complemented
9C22×C11×#41C2211yescharacteristic
10C23×D44C2211yescharacteristic
11C22×C11×M16C2211yescharacteristic
12C22×C11×M16C2211yescharacteristic
13C2×#67002—22no—
14C2×#67002—22no—
15C2×#67002—22no—
16C2×#67002—22no—
17C2×#67002—22no—
18C2×#67002C2214yes—
19C22×#4325—21no—
20C22×#4323—21no—
21C2×#66979C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#413—22no—
25C11×#413C2214yescomplemented
26C2×C11×#101—21no—
27C2×C11×#100—21no—
28#10622849—22no—
29#10622849C2214yescomplemented
30C2×#66901—22no—
31#10622744—22no—
32#10622744C2214yescomplemented
33C2×#66887—22no—
34C2×#66887—22no—
35C2×#66887C2214yescomplemented
36#10622737—22no—
37#10622737C2214yescomplemented
38C2×#66886—22no—
39C2×#66885—22no—
40#10622194C2214yescomplemented
41C24×D11—21no—
42C2×C11×#41—21no—
43C2×C11×#41—21no—
44C2×C11×#41—21no—
45C2×C11×#41—21no—
46C2×C11×#41—21no—
47C2×C11×#41—21no—
48C2×C11×#41—21no—
49C2×C11×#41—21no—
50C2×C11×#41—21no—
51C2×C11×#41—21no—
52C2×C11×#41D412yes—
53C2×C11×#41C2312yes—
54C22×Q8×C11D411yescharacteristic
55C22×D4×C11—21no—
56C22×D4×C11D411yescharacteristic
57C23×C4×C11—21no—
58C23×C4×C11C2311yescharacteristic
59C22×D44—21no—
60C22×D44—21no—
61C22×D44—21no—
62C22×D44—21no—
63C22×D44—21no—
64C22×D44—21no—
65C22×D44—21no—
66C22×D44—21no—
67C22×D44—21no—
68C22×D44—21no—
69C22×D44—21no—
70C22×D44D412yes—
71C22×D44D412yes—
72C22×D44C2312yes—
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×M16—21no—
82C2×C11×M16—21no—
83C2×C11×M16C2312yes—
84C2×C11×M16C2312yes—
85C22×C8×C11—21no—
86C22×C8×C11—21no—
87C2×C22⋊Dic11—21no—
88#67002—28no—
89#67002—28no—
90#67002—28no—
91#67002—28no—
92C2×#4325—24no—
93C2×#4325—24no—
94C2×#4325—24no—
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×#4318D412yes—
111C2×#4318D412yes—
112C2×#4318D412yes—
113C2×#4318D412yes—
114C2×#4318C2312yes—
115C2×#4318C2312yes—
116C22×C11⋊C8—21no—
117C22×C11⋊C8—21no—
118C11×#101—24no—
119C11×#100—24no—
120#66901—28no—
121#66887—28no—
122#66886—28no—
123#66885—28no—
124C2×#2048—111nomaximal, Sylow
125C24×C11—21no—
126C24×C11#4111yescharacteristic
127C23×D11—22no—
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—41no—
131C23×D11—41no—
132C23×D11—41no—
133C23×D11—41no—
134C23×D11—84no—
135C11×#41—22no—
136C11×#41—22no—
137C11×#41—22no—
138C11×#41—22no—
139C11×#41—22no—
140C11×#41—22no—
141C11×#41—22no—
142C11×#41—22no—
143C11×#41—41no—
144C11×#41—41no—
145C11×#41—41no—
146C11×#41—41no—
147C11×#41—41no—
148C11×#41—41no—
149C11×#41—41no—
150C11×#41—41no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11C2×D412yes—
157C2×D4×C11—22no—
158C2×D4×C11—22no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11—41no—
165C2×D4×C11—41no—
166C2×D4×C11—41no—
167C2×D4×C11—41no—
168C2×D4×C11C2×D412yes—
169C22×C4×C11—21no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—41no—
173C22×C4×C11—41no—
174C22×C4×C11—41no—
175C22×C4×C11—41no—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11#4111yescharacteristic
185C22×C4×C11#4111yescharacteristic
186C22×C4×C11#4111yescharacteristic
187C22×C4×C11#4111yescharacteristic
188C22×C4×C11#4111yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C22×Dic11—41no—
191C2×D44—22no—
192C2×D44—22no—
193C2×D44—22no—
194C2×D44—22no—
195C2×D44—22no—
196C2×D44—22no—
197C2×D44—22no—
198C2×D44—22no—
199C2×D44—22no—
200C2×D44—22no—
201C2×D44—22no—
202C2×D44—22no—
203C2×D44—22no—
204C2×D44—22no—
205C2×D44—22no—
206C2×D44—41no—
207C2×D44—41no—
208C2×D44—41no—
209C2×D44—41no—
210C2×D44—41no—
211C2×D44—41no—
212C2×D44—41no—
213C2×D44—41no—
214C2×D44—41no—
215C2×D44—41no—
216C2×D44—41no—
217C2×D44—41no—
218C2×D44C2×D414yes—
219C11×M16—22no—
220C11×M16—22no—
221C11×M16—22no—
222C11×M16—22no—
223C11×M16—41no—
224C11×M16—41no—
225C11×M16—41no—
226C11×M16—41no—
227C2×C8×C11—22no—
228C2×C8×C11—22no—
229C2×C8×C11—41no—
230C2×C8×C11—41no—
231C2×C8×C11—41no—
232C2×C8×C11—41no—
233C22⋊Dic11—22no—
234C22⋊Dic11—41no—
235#4325—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—22no—
247#4318C2×D414yes—
248#4318C2×D414yes—
249C2×C11⋊C8—22no—
250C2×C11⋊C8—22no—
251C2×C11⋊C8—22no—
252C2×C11⋊C8—22no—
253C2×C11⋊C8—22no—
254C2×C11⋊C8—22no—
255C22×AGL(1,ℤ/8)—111no—
256C2×#430—111no—
257C2×#421—111no—
258C2×#418—111no—
259C2×#413D1111yescharacteristic, complemented
260C22×#100—111no—
261#2048—118no—
262C2×#344—111no—
263C23×C11—22no—
264C23×C11—42no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—82no—
268C23×C11#12111yescharacteristic
269C23×C11#12111yescharacteristic
270C23×C11#12311yescharacteristic
271C23×C11#12311yescharacteristic
272C23×C11#12411yescharacteristic
273C23×C11#12411yescharacteristic
274C23×C11C2×#4111yescharacteristic
275C22×D11—24no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—42no—
279C22×D11—42no—
280C22×D11—42no—
281C22×D11—42no—
282C22×D11—84no—
283C22×D11—84no—
284C22×D11—84no—
285C22×D11—84no—
286C22×D11—84no—
287C22×D11—84no—
288C22×D11—84no—
289Q8×C11—22no—
290Q8×C11—22no—
291Q8×C11—41no—
292Q8×C11—41no—
293D4×C11—22no—
294D4×C11—22no—
295D4×C11—42no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—42no—
299D4×C11—41no—
300D4×C11—41no—
301C2×C4×C11—22no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11#12011yescharacteristic
309C2×C4×C11#12011yescharacteristic
310C2×C4×C11#12011yescharacteristic
311C2×C4×C11#12011yescharacteristic
312C2×C4×C11#12111yescharacteristic
313C2×C4×C11#12111yescharacteristic
314C2×C4×C11#12111yescharacteristic
315C2×C4×C11#12111yescharacteristic
316C2×C4×C11#12111yescharacteristic
317C2×C4×C11#12111yescharacteristic
318C2×C4×C11#12111yescharacteristic
319C2×C4×C11#12111yescharacteristic
320C2×C4×C11#12111yescharacteristic
321C2×C4×C11#12111yescharacteristic
322C2×C4×C11#12311yescharacteristic
323C2×C4×C11#12311yescharacteristic
324C2×C4×C11#12311yescharacteristic
325C2×C4×C11#12311yescharacteristic
326C2×C4×C11#12311yescharacteristic
327C2×C4×C11#12311yescharacteristic
328C2×C4×C11#12411yescharacteristic
329C2×C4×C11#12411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C2×#4111yescharacteristic
335C2×C4×C11C2×#4111yescharacteristic
336C2×Dic11—42no—
337C2×Dic11—82no—
338D44—24no—
339D44—24no—
340D44—42no—
341D44—42no—
342D44—42no—
343D44—42no—
344D44—42no—
345D44—42no—
346C8×C11—42no—
347C8×C11—42no—
348C11⋊C8—24no—
349C11⋊C8—24no—
350C22×#41C2×D1111yescharacteristic
351C23×D4—111no—
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—22no—
375#413C2×D1114yescomplemented
376C2×#101—21no—
377C2×#100—21no—
378C2×#100—114no—
379C2×#100—222no—
380C2×#100—222no—
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—42no—
390C22×C11—82no—
391C22×C11—82no—
392C22×C11—82no—
393C22×C11#39411yescharacteristic
394C22×C11#39411yescharacteristic
395C22×C11#39411yescharacteristic
396C22×C11#39411yescharacteristic
397C22×C11C2×#12111yescharacteristic
398C22×C11C2×#12311yescharacteristic
399C22×C11C2×#12411yescharacteristic
400C2×D11—44no—
401C2×D11—84no—
402C2×D11—84no—
403C2×D11—84no—
404C2×D11—84no—
405C2×D11—84no—
406C2×D11—84no—
407C2×D11—84no—
408C4×C11—42no—
409C4×C11#39411yescharacteristic
410C4×C11#39411yescharacteristic
411C4×C11#39411yescharacteristic
412C4×C11#39411yescharacteristic
413C4×C11C2×#12011yescharacteristic
414C4×C11C2×#12111yescharacteristic
415C4×C11C2×#12111yescharacteristic
416C4×C11C2×#12311yescharacteristic
417Dic11—82no—
418C25—221no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41C22⋊D1112yes—
430C2×#41C22×D1112yes—
431C22×Q8C22⋊D1111yescharacteristic
432C22×D4—21no—
433C22×D4—112no—
434C22×D4—112no—
435C22×D4—112no—
436C22×D4—221no—
437C22×D4—221no—
438C22×D4—221no—
439C22×D4—221no—
440C22×D4—221no—
441C22×D4—221no—
442C22×D4—221no—
443C22×D4—221no—
444C22×D4—221no—
445C22×D4—221no—
446C22×D4—221no—
447C22×D4C22⋊D1111yescharacteristic
448C23×C4—21no—
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—21no—
469C2×M16—21no—
470C2×M16—112no—
471C2×M16—112no—
472C2×M16—112no—
473C2×M16—112no—
474C2×M16—112no—
475C2×M16—112no—
476C2×M16—221no—
477C2×M16—221no—
478C2×M16—221no—
479C2×M16—221no—
480C2×M16—221no—
481C2×M16—221no—
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—24no—
499#100—24no—
500#100—228no—
501C2×C11—21no—
502C2×C11—21no—
503C2×C11—21no—
504C2×C11—21no—
505C2×C11—21no—
506C2×C11—21no—
507C2×C11—82no—
508C2×C11#204812yescomplemented
509C2×C11C2×#39411yescharacteristic
510D11—84no—
511C24—21no—
512C24—222no—
513C24—222no—
514C24—222no—
515C24—441no—
516C24—441no—
517C24—441no—
518C24—441no—
519C24—884no—
520C24#433911yescharacteristic
521#41—22no—
522#41—22no—
523#41—22no—
524#41—22no—
525#41—22no—
526#41—22no—
527#41—22no—
528#41—22no—
529#41—41no—
530#41—41no—
531#41—41no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—41no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8C2×C22⋊D1112yes—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—41no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—41no—
554C2×D4—114no—
555C2×D4—222no—
556C2×D4—222no—
557C2×D4—222no—
558C2×D4—222no—
559C2×D4—222no—
560C2×D4—222no—
561C2×D4—222no—
562C2×D4—222no—
563C2×D4—222no—
564C2×D4—222no—
565C2×D4—222no—
566C2×D4—222no—
567C2×D4—222no—
568C2×D4—222no—
569C2×D4—222no—
570C2×D4—441no—
571C2×D4—441no—
572C2×D4—441no—
573C2×D4—441no—
574C2×D4—441no—
575C2×D4—441no—
576C2×D4—441no—
577C2×D4—441no—
578C2×D4—441no—
579C2×D4—441no—
580C2×D4—441no—
581C2×D4—441no—
582C2×D4C2×C22⋊D1112yes—
583C22×C4—21no—
584C22×C4—22no—
585C22×C4—22no—
586C22×C4—41no—
587C22×C4—41no—
588C22×C4—41no—
589C22×C4—41no—
590C22×C4—441no—
591C22×C4#433911yescharacteristic
592C22×C4#433911yescharacteristic
593C22×C4#433911yescharacteristic
594C22×C4D4×D1111yescharacteristic
595C22×C4D4×D1111yescharacteristic
596C22×C4D4×D1111yescharacteristic
597C22×C4D4×D1111yescharacteristic
598C22×C4D4×D1111yescharacteristic
599C22×C4D4×D1111yescharacteristic
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—41no—
612M16—41no—
613M16—41no—
614M16—41no—
615M16—114no—
616M16—114no—
617M16—222no—
618M16—222no—
619M16—222no—
620M16—222no—
621M16—222no—
622M16—222no—
623C2×C8—22no—
624C2×C8—22no—
625C2×C8—41no—
626C2×C8—41no—
627C2×C8—41no—
628C2×C8—41no—
629C2×C8—222no—
630C2×C8—222no—
631C2×C8—222no—
632C2×C8—222no—
633C2×C8—222no—
634C2×C8—222no—
635C4⋊C4—222no—
636C4⋊C4—441no—
637C22⋊C4—222no—
638C22⋊C4—441no—
639C42—222no—
640C42—441no—
641C11C2×#204811yescharacteristic, complemented, Sylow
642C23—22no—
643C23—42no—
644C23—41no—
645C23—41no—
646C23—82no—
647C23—224no—
648C23—442no—
649C23—442no—
650C23—442no—
651C23—442no—
652C23—442no—
653C23—442no—
654C23—884no—
655C23—884no—
656C23—884no—
657C23—884no—
658C23—884no—
659C23—884no—
660C23—884no—
661C23#6693711yescharacteristic
662C23#6693711yescharacteristic
663C23#6693811yescharacteristic
664C23#6693811yescharacteristic
665C23#6698211yescharacteristic
666C23#6698211yescharacteristic
667C23C2×#433911yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—41no—
671Q8—41no—
672D4—22no—
673D4—22no—
674D4—42no—
675D4—42no—
676D4—42no—
677D4—42no—
678D4—41no—
679D4—41no—
680D4—224no—
681D4—224no—
682D4—442no—
683D4—442no—
684D4—442no—
685D4—442no—
686D4—442no—
687D4—442no—
688C2×C4—22no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—442no—
696C2×C4—882no—
697C2×C4#6693611yescharacteristic
698C2×C4#6693611yescharacteristic
699C2×C4#6693611yescharacteristic
700C2×C4#6693611yescharacteristic
701C2×C4#6693711yescharacteristic
702C2×C4#6693711yescharacteristic
703C2×C4#6693711yescharacteristic
704C2×C4#6693711yescharacteristic
705C2×C4#6693711yescharacteristic
706C2×C4#6693711yescharacteristic
707C2×C4#6693811yescharacteristic
708C2×C4#6693811yescharacteristic
709C2×C4#6698211yescharacteristic
710C2×C4#6698211yescharacteristic
711C2×C4#6699011yescharacteristic
712C2×C4#6699011yescharacteristic
713C2×C4#6699011yescharacteristic
714C2×C4#6699011yescharacteristic
715C2×C4#6699211yescharacteristic
716C2×C4#6699211yescharacteristic
717C2×C4#6699211yescharacteristic
718C2×C4#6699211yescharacteristic
719C2×C4C2×#433911yescharacteristic
720C2×C4C2×D4×D1111yescharacteristic
721C2×C4C2×D4×D1111yescharacteristic
722C2×C4C2×D4×D1111yescharacteristic
723C2×C4C2×#434111yescharacteristic
724C2×C4C22×C22⋊D1111yescharacteristic
725C8—42no—
726C8—42no—
727C8—224no—
728C8—224no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—42no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—444no—
741C22—884no—
742C22—884no—
743C22—884no—
744C22—884no—
745C22—884no—
746C22—884no—
747C22—884no—
748C22#1062257211yescharacteristic
749C22#1062257211yescharacteristic
750C22#1062257211yescharacteristic
751C22#1062257211yescharacteristic
752C22C2×#6693711yescharacteristic
753C22C2×#6693811yescharacteristic
754C22C2×#6698211yescharacteristic
755C4—42no—
756C4—882no—
757C4#1062257211yescharacteristic
758C4#1062257211yescharacteristic
759C4#1062257211yescharacteristic
760C4#1062257211yescharacteristic
761C4C2×#6693611yescharacteristic
762C4C2×#6693711yescharacteristic
763C4C2×#6699011yescharacteristic
764C4C2×#6699211yescharacteristic
765C2—21no—
766C2—21no—
767C2—21no—
768C2—21no—
769C2—21no—
770C2—21no—
771C2—82no—
772C2—884no—
773C2#1306988912yesdirect product factor
774C2C2×#1062257211yescharacteristic
subgroupG/H
centerC22#10622572
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#413C2
socleC22×C11#394
prime radicalC22×#67002C2
hypercenterC2×#413D11
hypocenterC11C2×#2048
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#413

Complements

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

NH ≅ G/Ntype
2. C2×#10622737C2semidirect
3. C2×#10622849C2semidirect
4. C2×#10622744C2semidirect
5. C22×#66887C2semidirect
6. #13069889C2direct (N × H)
7. C2×#10622194C2semidirect
8. C2×C11×#413C2semidirect
25. C11×#413C22semidirect
29. #10622849C22semidirect
32. #10622744C22semidirect
35. C2×#66887C22semidirect
37. #10622737C22semidirect
40. #10622194C22semidirect
259. C2×#413D11semidirect
375. #413C2×D11semidirect
508. C2×C11#2048semidirect
641. C11C2×#2048semidirect
773. C2#13069889direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670022
C2×#106227372
C2×#106228492
C2×#106227442
C22×#668872
#130698892
C2×#106221942
C2×C11×#4132
C2×#204811