Finite Group Databasebeta

← C2×#13069893 #14781608

Subgroups — C2×#13069893 #14781608

Order 2816.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622737C211yesmaximal, characteristic, complemented
2C2×#10622849C211yesmaximal, characteristic
3C2×#10622838C211yesmaximal, characteristic, complemented
4C2×#10622850C211yesmaximal, characteristic
5C22×#66900C211yesmaximal, characteristic, complemented
6#13069893C218yesmaximal, direct product factor
7C2×#10622197C211yesmaximal, characteristic, complemented
8C22×C11×#137C211yesmaximal, characteristic
9C22×C11×#41C2211yescharacteristic
10C23×Q8×C11C2211yescharacteristic
11C2×C11×#137—22no—
12C2×C11×#137—22no—
13C2×C11×#137—22no—
14C2×C11×#137—22no—
15C2×C11×#137—22no—
16C2×C11×#137C2214yes—
17C22×C11×Q16—21no—
18C22×C11×SD16—21no—
19C22×C11×M16C2211yescharacteristic
20C2×#66979C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24#10622850—22no—
25#10622850C2214yes—
26#10622849—22no—
27#10622849C2214yes—
28C2×#66901—22no—
29C2×#66900—21no—
30C2×#66900—22no—
31C2×#66900—22no—
32C2×#66900C2214yescomplemented
33#10622838—22no—
34#10622838C2214yescomplemented
35C2×#66899—22no—
36C2×#66897—21no—
37#10622737—22no—
38#10622737C2214yescomplemented
39C2×#66886—22no—
40#10622197C2214yescomplemented
41C2×C11×#41—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×#41D412yes—
52C2×C11×#41C2312yes—
53C22×Q8×C11—21no—
54C22×Q8×C11—21no—
55C22×Q8×C11—21no—
56C22×Q8×C11—21no—
57C22×Q8×C11—21no—
58C22×Q8×C11—21no—
59C22×Q8×C11—21no—
60C22×Q8×C11—21no—
61C22×Q8×C11—21no—
62C22×Q8×C11—21no—
63C22×Q8×C11—21no—
64C22×Q8×C11D412yes—
65C22×Q8×C11D412yes—
66C22×Q8×C11D411yescharacteristic
67C22×Q8×C11C2312yes—
68C22×D4×C11—21no—
69C22×D4×C11D411yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C11×#137—28no—
74C11×#137—28no—
75C11×#137—28no—
76C11×#137—28no—
77C2×C11×Q16—24no—
78C2×C11×Q16—24no—
79C2×C11×Q16—24no—
80C2×C11×SD16—24no—
81C2×C11×SD16—24no—
82C2×C11×SD16—24no—
83C2×C11×M16—21no—
84C2×C11×M16—21no—
85C2×C11×M16—21no—
86C2×C11×M16D412yes—
87C2×C11×M16D412yes—
88C2×C11×M16C2312yes—
89C22×C8×C11—21no—
90C2×C22⋊Dic11—21no—
91#66979—21no—
92#66979—21no—
93#66979—21no—
94#66979C2312yes—
95C2×C4⋊Dic11—21no—
96C2×C4×Dic11—21no—
97C2×#4318—21no—
98C2×#4318—21no—
99C2×#4318—21no—
100C2×#4318—21no—
101C2×#4318—21no—
102C2×#4318—21no—
103C2×#4318—21no—
104C2×#4318—21no—
105C2×#4318—21no—
106C2×#4318—21no—
107C2×#4318—21no—
108C2×#4318—21no—
109C2×#4318—21no—
110C2×#4318D412yes—
111C2×#4318D412yes—
112C2×#4318C2312yes—
113C2×#4318C2312yes—
114C2×#4318C2312yes—
115C22×C11⋊C8—21no—
116C22×C11⋊C8—21no—
117C22×C11⋊C8—21no—
118#66901—28no—
119#66900—24no—
120#66900—28no—
121#66899—28no—
122#66897—24no—
123#66886—28no—
124C2×#2049—111nomaximal, Sylow
125C24×C11—21no—
126C24×C11#4111yescharacteristic
127C11×#41—22no—
128C11×#41—22no—
129C11×#41—22no—
130C11×#41—22no—
131C11×#41—22no—
132C11×#41—22no—
133C11×#41—22no—
134C11×#41—22no—
135C11×#41—41no—
136C11×#41—41no—
137C11×#41—41no—
138C11×#41—41no—
139C11×#41—41no—
140C11×#41—41no—
141C11×#41—41no—
142C11×#41—41no—
143C2×Q8×C11—22no—
144C2×Q8×C11—22no—
145C2×Q8×C11—21no—
146C2×Q8×C11—22no—
147C2×Q8×C11—22no—
148C2×Q8×C11—22no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—22no—
152C2×Q8×C11—22no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—22no—
156C2×Q8×C11—22no—
157C2×Q8×C11—22no—
158C2×Q8×C11—22no—
159C2×Q8×C11—22no—
160C2×Q8×C11—22no—
161C2×Q8×C11—22no—
162C2×Q8×C11—22no—
163C2×Q8×C11—41no—
164C2×Q8×C11—41no—
165C2×Q8×C11—41no—
166C2×Q8×C11—41no—
167C2×Q8×C11—41no—
168C2×Q8×C11—41no—
169C2×Q8×C11—41no—
170C2×Q8×C11—41no—
171C2×Q8×C11—41no—
172C2×Q8×C11—41no—
173C2×Q8×C11—41no—
174C2×Q8×C11—41no—
175C2×Q8×C11C2×D414yes—
176C2×Q8×C11C2×D412yes—
177C2×D4×C11—22no—
178C2×D4×C11—22no—
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—41no—
185C2×D4×C11—41no—
186C2×D4×C11—41no—
187C2×D4×C11—41no—
188C2×D4×C11C2×D412yes—
189C22×C4×C11—22no—
190C22×C4×C11—22no—
191C22×C4×C11—21no—
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—22no—
195C22×C4×C11—41no—
196C22×C4×C11—41no—
197C22×C4×C11—41no—
198C22×C4×C11—41no—
199C22×C4×C11—41no—
200C22×C4×C11—41no—
201C22×C4×C11—41no—
202C22×C4×C11—41no—
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D411yescharacteristic
211C22×C4×C11#4111yescharacteristic
212C22×C4×C11#4111yescharacteristic
213C22×C4×C11#4111yescharacteristic
214C22×C4×C11#4111yescharacteristic
215C22×C4×C11#4111yescharacteristic
216C22×C4×C11C2411yescharacteristic
217C22×Dic11—41no—
218C11×Q16—216no—
219C11×SD16—216no—
220C11×M16—22no—
221C11×M16—22no—
222C11×M16—22no—
223C11×M16C2×D414yes—
224C2×C8×C11—22no—
225C2×C8×C11—22no—
226C2×C8×C11—22no—
227C22⋊Dic11—22no—
228C22⋊Dic11—41no—
229C4⋊Dic11—22no—
230C4⋊Dic11—41no—
231C4×Dic11—22no—
232C4×Dic11—41no—
233#4318—22no—
234#4318—22no—
235#4318—22no—
236#4318—22no—
237#4318—22no—
238#4318—22no—
239#4318—22no—
240#4318—41no—
241#4318—41no—
242#4318—41no—
243#4318—41no—
244#4318C2×D414yes—
245C2×C11⋊C8—22no—
246C2×C11⋊C8—22no—
247C2×C11⋊C8—22no—
248C2×C11⋊C8—22no—
249C2×C11⋊C8—22no—
250C2×C11⋊C8—41no—
251C2×C11⋊C8—41no—
252C2×C11⋊C8—41no—
253C2×C11⋊C8—41no—
254C22×#137D1111yescharacteristic
255C2×#430—111no—
256C2×#421—111no—
257C2×#419—111no—
258C2×#413—111no—
259C22×#101—111no—
260#2049—118no—
261C2×#344—111no—
262C23×C11—22no—
263C23×C11—42no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—82no—
267C23×C11#12111yescharacteristic
268C23×C11#12111yescharacteristic
269C23×C11#12311yescharacteristic
270C23×C11#12311yescharacteristic
271C23×C11#12411yescharacteristic
272C23×C11#12411yescharacteristic
273C23×C11C2×#4111yescharacteristic
274Q8×C11—24no—
275Q8×C11—22no—
276Q8×C11—22no—
277Q8×C11—24no—
278Q8×C11—42no—
279Q8×C11—42no—
280Q8×C11—42no—
281Q8×C11—42no—
282Q8×C11—42no—
283Q8×C11—42no—
284Q8×C11—41no—
285Q8×C11—41no—
286D4×C11—22no—
287D4×C11—22no—
288D4×C11—42no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—41no—
293D4×C11—41no—
294C2×C4×C11—24no—
295C2×C4×C11—22no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
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—
338C8×C11—24no—
339C11⋊C8—24no—
340C11⋊C8—42no—
341C11⋊C8—42no—
342C22×#41C2×D1111yescharacteristic
343C23×Q8C2×D1111yescharacteristic
344C2×#137—22no—
345C2×#137—22no—
346C2×#137—22no—
347C2×#137—22no—
348C2×#137—22no—
349C2×#137C2×D1114yes—
350C22×Q16—21no—
351C22×SD16—21no—
352C22×M16—111no—
353C22×M16—111no—
354C22×M16—111no—
355C22×M16C2×D1111yescharacteristic
356C2×#117—111no—
357#430—114no—
358#430—222no—
359C2×#108—222no—
360#421—114no—
361#421—222no—
362C2×#104—222no—
363#419—114no—
364#419—222no—
365C2×#103—222no—
366#413—114no—
367#413—222no—
368C2×#101—114no—
369C2×#101—222no—
370C2×#101—222no—
371C2×#101—221no—
372C2×#100—221no—
373#344—114no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—42no—
382C22×C11—82no—
383C22×C11—82no—
384C22×C11—82no—
385C22×C11#39411yescharacteristic
386C22×C11#39411yescharacteristic
387C22×C11#39411yescharacteristic
388C22×C11#39411yescharacteristic
389C22×C11C2×#12111yescharacteristic
390C22×C11C2×#12311yescharacteristic
391C22×C11C2×#12411yescharacteristic
392C4×C11—42no—
393C4×C11—44no—
394C4×C11#39411yescharacteristic
395C4×C11#39411yescharacteristic
396C4×C11#39411yescharacteristic
397C4×C11#39411yescharacteristic
398C4×C11C2×#12011yescharacteristic
399C4×C11C2×#12111yescharacteristic
400C4×C11C2×#12111yescharacteristic
401C4×C11C2×#12311yescharacteristic
402Dic11—82no—
403C2×#41—21no—
404C2×#41—21no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41C22⋊D1112yes—
414C2×#41C22×D1112yes—
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8C22⋊D1111yescharacteristic
427C22×Q8C22⋊D1112yes—
428C22×Q8C22⋊D1112yes—
429C22×Q8C22×D1112yes—
430C22×D4—21no—
431C22×D4C22⋊D1111yescharacteristic
432C23×C4—21no—
433C23×C4—21no—
434C23×C4C22×D1111yescharacteristic
435#137—28no—
436#137—28no—
437#137—28no—
438#137—28no—
439C2×Q16—24no—
440C2×Q16—24no—
441C2×Q16—24no—
442C2×SD16—24no—
443C2×SD16—24no—
444C2×SD16—24no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—112no—
449C2×M16—112no—
450C2×M16—112no—
451C2×M16—112no—
452C2×M16—112no—
453C2×M16—221no—
454C2×M16—221no—
455C2×M16—221no—
456C2×M16—221no—
457C2×M16—221no—
458C2×M16—221no—
459C2×M16—221no—
460C2×M16—221no—
461C2×M16—221no—
462C2×M16—221no—
463C2×M16—221no—
464C2×M16—221no—
465C2×M16—221no—
466C2×M16C22⋊D1112yes—
467C2×M16C22⋊D1112yes—
468C2×M16C22×D1112yes—
469C22×C8—21no—
470C22×C8—221no—
471C22×C8—221no—
472C22×C8—221no—
473#117—112no—
474#117—221no—
475#117—221no—
476#117—221no—
477C2×C4⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C42—221no—
480#108—228no—
481#104—228no—
482#103—228no—
483#101—228no—
484#101—224no—
485#100—224no—
486C2×C11—21no—
487C2×C11—21no—
488C2×C11—21no—
489C2×C11—21no—
490C2×C11—21no—
491C2×C11—21no—
492C2×C11—82no—
493C2×C11#204912yescomplemented
494C2×C11C2×#39411yescharacteristic
495C24—21no—
496C24#434111yescharacteristic
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—41no—
506#41—41no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—41no—
512#41—41no—
513C2×Q8—21no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—41no—
545C2×Q8C2×C22⋊D1112yes—
546C2×Q8C2×C22⋊D1114yes—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—41no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4C2×C22⋊D1112yes—
559C22×C4—21no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—41no—
570C22×C4—41no—
571C22×C4—41no—
572C22×C4—41no—
573C22×C4—441no—
574C22×C4D4×D1111yescharacteristic
575C22×C4D4×D1111yescharacteristic
576C22×C4#434111yescharacteristic
577C22×C4#434111yescharacteristic
578C22×C4#434111yescharacteristic
579C22×C4#434111yescharacteristic
580C22×C4#434111yescharacteristic
581C22×C4C2×C22⋊D1111yescharacteristic
582C22×C4C2×C22⋊D1111yescharacteristic
583C22×C4C2×C22⋊D1111yescharacteristic
584C22×C4C2×C22⋊D1111yescharacteristic
585C22×C4C2×C22⋊D1111yescharacteristic
586C22×C4C2×C22⋊D1111yescharacteristic
587C22×C4C23×D1111yescharacteristic
588Q16—216no—
589SD16—216no—
590M16—22no—
591M16—22no—
592M16—22no—
593M16—114no—
594M16—222no—
595M16—222no—
596M16—222no—
597M16—222no—
598M16—222no—
599M16—222no—
600M16—222no—
601M16—441no—
602M16—441no—
603M16—441no—
604M16—441no—
605M16C2×C22⋊D1114yes—
606C2×C8—22no—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—222no—
610C2×C8—222no—
611C2×C8—222no—
612C2×C8—222no—
613C2×C8—222no—
614C2×C8—441no—
615C2×C8—441no—
616C2×C8—441no—
617C2×C8—441no—
618C4⋊C4—222no—
619C4⋊C4—441no—
620C22⋊C4—222no—
621C22⋊C4—441no—
622C42—222no—
623C42—441no—
624C11C2×#204911yescharacteristic, complemented, Sylow
625C23—22no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—82no—
630C23#6698811yescharacteristic
631C23#6698811yescharacteristic
632C23#6698911yescharacteristic
633C23#6698911yescharacteristic
634C23#6699211yescharacteristic
635C23#6699211yescharacteristic
636C23C2×#434111yescharacteristic
637Q8—24no—
638Q8—22no—
639Q8—24no—
640Q8—22no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—42no—
646Q8—42no—
647Q8—41no—
648Q8—41no—
649D4—22no—
650D4—22no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—41no—
656D4—41no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—442no—
672C2×C4—882no—
673C2×C4#6698811yescharacteristic
674C2×C4#6698811yescharacteristic
675C2×C4#6698811yescharacteristic
676C2×C4#6698811yescharacteristic
677C2×C4#6698811yescharacteristic
678C2×C4#6698811yescharacteristic
679C2×C4#6698911yescharacteristic
680C2×C4#6698911yescharacteristic
681C2×C4#6699111yescharacteristic
682C2×C4#6699111yescharacteristic
683C2×C4#6699111yescharacteristic
684C2×C4#6699111yescharacteristic
685C2×C4#6699211yescharacteristic
686C2×C4#6699211yescharacteristic
687C2×C4#6699211yescharacteristic
688C2×C4#6699211yescharacteristic
689C2×C4#6699211yescharacteristic
690C2×C4#6699211yescharacteristic
691C2×C4#6700611yescharacteristic
692C2×C4#6700611yescharacteristic
693C2×C4#6700611yescharacteristic
694C2×C4#6700611yescharacteristic
695C2×C4C2×D4×D1111yescharacteristic
696C2×C4C2×#434111yescharacteristic
697C2×C4C2×#434111yescharacteristic
698C2×C4C22×C22⋊D1111yescharacteristic
699C2×C4C22×C22⋊D1111yescharacteristic
700C2×C4C22×C22⋊D1111yescharacteristic
701C8—24no—
702C8—224no—
703C8—442no—
704C8—442no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—42no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22#1062283511yescharacteristic
717C22#1062283511yescharacteristic
718C22#1062283511yescharacteristic
719C22#1062283511yescharacteristic
720C22C2×#6698811yescharacteristic
721C22C2×#6698911yescharacteristic
722C22C2×#6699211yescharacteristic
723C4—42no—
724C4—44no—
725C4—882no—
726C4#1062283511yescharacteristic
727C4#1062283511yescharacteristic
728C4#1062283511yescharacteristic
729C4#1062283511yescharacteristic
730C4C2×#6698811yescharacteristic
731C4C2×#6699111yescharacteristic
732C4C2×#6699211yescharacteristic
733C4C2×#6700611yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1306989312yesdirect product factor
742C2C2×#1062283511yescharacteristic
subgroupG/H
centerC22#10622835
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC22×C11×#137C2
socleC22×C11#394
prime radicalC22×C11×#41C22
hypercenterC22×#137D11
hypocenterC11C2×#2049
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
1. C2×#10622737C2semidirect
3. C2×#10622838C2semidirect
5. C22×#66900C2semidirect
6. #13069893C2direct (N × H)
7. C2×#10622197C2semidirect
32. C2×#66900C22semidirect
34. #10622838C22semidirect
38. #10622737C22semidirect
40. #10622197C22semidirect
493. C2×C11#2049semidirect
624. C11C2×#2049semidirect
741. C2#13069893direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106227372
C2×#106228492
C2×#106228382
C2×#106228502
C22×#669002
#130698932
C2×#106221972
C22×C11×#1372
C2×#204911