Finite Group Databasebeta

← #14801525

Subgroups — #14801525

Order 2816.

1046 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622795C211yesmaximal, characteristic, complemented
2C2×#10622841C211yesmaximal, characteristic
3C2×#10622797C211yesmaximal, characteristic, complemented
4#13072217C211yesmaximal, characteristic
5Q8×C22⋊Dic11C211yesmaximal, characteristic
6#13069995C211yesmaximal, characteristic, complemented
7#13069813C211yesmaximal, characteristic
8#13069809C211yesmaximal, characteristic
9#13069714C211yesmaximal, characteristic, complemented
10#13069484C211yesmaximal, characteristic, complemented
11#13069232C211yesmaximal, characteristic
12#13068959C211yesmaximal, characteristic, complemented
13#13068955C211yesmaximal, characteristic, complemented
14#13068882C211yesmaximal, characteristic, complemented
15C2×C11×#451C211yesmaximal, characteristic
16C23×Q8×C11C2211yescharacteristic
17C22×C11×Q16C2211yescharacteristic
18C22×C11×Q16C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23C2×#66997C2211yescharacteristic
24C22×#4326C2211yescharacteristic
25C22×#4326C2211yescharacteristic
26C2×#66977C2211yescharacteristic
27C11×#451—24no—
28C2×C11×#103C2211yescharacteristic
29C2×C11×#103C2211yescharacteristic
30C2×C11×C22⋊C8C2211yescharacteristic
31#10622843—21no—
32#10622843—21no—
33#10622843C2211yescharacteristic
34#10622843C2211yescharacteristic
35#10622841—24no—
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40#10622825—21no—
41#10622825C2211yescharacteristic
42C4×C22⋊Dic11—21no—
43C4×C22⋊Dic11C2211yescharacteristic
44C2×C22⋊(C11⋊C8)C2211yescharacteristic
45#10622797—24no—
46#10622795—24no—
47C2×#66881C2211yescharacteristic
48C2×#66880C2211yescharacteristic
49C2×#66880C2211yescharacteristic
50C2×#66879C2211yescharacteristic
51C2×Dic11⋊C8C2211yescharacteristic
52#10622597—21no—
53#10622587C2211yescharacteristic
54#10622586C2211yescharacteristic
55#10622585—21no—
56C2×#66872C2211yescharacteristic
57#10622561—21no—
58#10622558—21no—
59#10622189C2211yescharacteristic
60#10622188C2211yescharacteristic
61#10622188C2211yescharacteristic
62#10622167C2211yescharacteristic
63C22×Q8×C11—22no—
64C22×Q8×C11—22no—
65C22×Q8×C11—21no—
66C22×Q8×C11—22no—
67C22×Q8×C11—22no—
68C22×Q8×C11—41no—
69C22×Q8×C11—41no—
70C22×Q8×C11C2311yescharacteristic
71C22×Q8×C11C2311yescharacteristic
72C22×Q8×C11C2311yescharacteristic
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C22×Dic22C2311yescharacteristic
76C2×C11×Q16—22no—
77C2×C11×Q16—22no—
78C2×C11×Q16—22no—
79C2×C11×Q16—22no—
80C2×C11×Q16—41no—
81C2×C11×Q16D414yes—
82C22×C8×C11C2311yescharacteristic
83C22×C8×C11C2311yescharacteristic
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8—41no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C22⋊C4—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11D411yescharacteristic
92C2×C22⋊Dic11D411yescharacteristic
93Q8×Dic11—22no—
94Q8×Dic11—22no—
95Q8×Dic11—22no—
96Q8×Dic11—41no—
97Q8×Dic11—41no—
98Q8×Dic11—41no—
99#66997—22no—
100#66997—41no—
101C2×#4326—22no—
102C2×#4326—22no—
103C2×#4326—22no—
104C2×#4326—22no—
105C2×#4326—22no—
106C2×#4326—41no—
107C2×C4⋊Dic11—21no—
108C2×C4⋊Dic11—21no—
109C2×C4⋊Dic11—21no—
110C2×C4⋊Dic11C2311yescharacteristic
111C2×C4⋊Dic11C2311yescharacteristic
112C2×C4⋊Dic11C2311yescharacteristic
113#66977—22no—
114#66977—41no—
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×C4×Dic11—21no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11—21no—
122C2×C4×Dic11C2311yescharacteristic
123C2×C4×Dic11C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C11×#103—22no—
127C11×#103—22no—
128C11×C22⋊C8—22no—
129#66899—22no—
130#66899—22no—
131#66899—22no—
132#66899D414yes—
133C11⋊#95—21no—
134C11⋊#95—21no—
135C11⋊#95—21no—
136C11⋊#95—21no—
137C11⋊#95—21no—
138C11⋊#95—21no—
139C11⋊#95—21no—
140C11⋊#95—21no—
141C11⋊#95D411yescharacteristic
142C11⋊#95D411yescharacteristic
143C22⋊(C11⋊C8)—22no—
144#66881—22no—
145#66880—22no—
146#66880—41no—
147#66879—22no—
148Dic11⋊C8—22no—
149#66872—41no—
150#25173—111nomaximal, Sylow
151C24×C11C2×D411yescharacteristic
152C2×Q8×C11—24no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—21no—
163C2×Q8×C11—21no—
164C2×Q8×C11—21no—
165C2×Q8×C11—21no—
166C2×Q8×C11—42no—
167C2×Q8×C11—42no—
168C2×Q8×C11—44no—
169C2×Q8×C11—44no—
170C2×Q8×C11—44no—
171C2×Q8×C11—44no—
172C2×Q8×C11C2×D412yes—
173C2×Q8×C11C2×D412yes—
174C2×Q8×C11C2×D412yes—
175C2×Q8×C11#4112yes—
176C2×Q8×C11#4112yes—
177C22×C4×C11—21no—
178C22×C4×C11—24no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—42no—
189C22×C4×C11—42no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2411yescharacteristic
192C22×Dic11—21no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11C2×D411yescharacteristic
197C22×Dic11C2×D411yescharacteristic
198C22×Dic11C2×D411yescharacteristic
199C22×Dic11C2×D411yescharacteristic
200C2×Dic22—21no—
201C2×Dic22—21no—
202C2×Dic22—21no—
203C2×Dic22—21no—
204C2×Dic22—21no—
205C2×Dic22—21no—
206C11×Q16—28no—
207C11×Q16—44no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C2×C8×C11C2×D412yes—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—42no—
217C11×C22⋊C4—42no—
218C22⋊Dic11—22no—
219C22⋊Dic11—22no—
220C22⋊Dic11—42no—
221C22⋊Dic11—42no—
222#4326—44no—
223#4326—44no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—42no—
230C4⋊Dic11—42no—
231C4⋊Dic11—42no—
232C4⋊Dic11C2×D412yes—
233Dic11⋊C4—42no—
234Dic11⋊C4—42no—
235Dic11⋊C4—42no—
236Dic11⋊C4—42no—
237C4×Dic11—21no—
238C4×Dic11—21no—
239C4×Dic11—21no—
240C4×Dic11—21no—
241C4×Dic11—42no—
242C4×Dic11—42no—
243C4×Dic11—42no—
244C2×C11⋊C8—21no—
245C2×C11⋊C8—21no—
246C2×C11⋊C8—21no—
247C2×C11⋊C8—21no—
248C2×C11⋊C8—21no—
249C2×C11⋊C8C2×D412yes—
250C2×#462—111no—
251C2×#451—111no—
252C2×#451D1111yescharacteristic
253C2×#441—111no—
254#2429—111no—
255Q8×C22⋊C4—111no—
256#2066—111no—
257#2035—111no—
258#2035—111no—
259#2016—111no—
260#1971—111no—
261#1924—111no—
262#1878—111no—
263#1878—111no—
264#1865—111no—
265C23×C11—21no—
266C23×C11—21no—
267C23×C11—21no—
268C23×C11—21no—
269C23×C11—21no—
270C23×C11—21no—
271C23×C11#13712yes—
272C23×C11C22×D411yescharacteristic
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—22no—
276Q8×C11—22no—
277Q8×C11—22no—
278Q8×C11—22no—
279Q8×C11—22no—
280Q8×C11—48no—
281Q8×C11—41no—
282Q8×C11—41no—
283Q8×C11—41no—
284Q8×C11—41no—
285Q8×C11#12114yes—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—22no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—48no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11H(5,𝔽2)11yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—21no—
316C2×Dic11—21no—
317C2×Dic11—22no—
318C2×Dic11—21no—
319C2×Dic11—21no—
320C2×Dic11—21no—
321C2×Dic11—21no—
322C2×Dic11—21no—
323C2×Dic11—21no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—41no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C2×Dic11—41no—
333C2×Dic11—41no—
334C2×Dic11—41no—
335C2×Dic11#13712yes—
336Dic22—41no—
337Dic22—41no—
338Dic22—41no—
339Dic22—41no—
340C8×C11—22no—
341C8×C11—41no—
342C11⋊C8—22no—
343C11⋊C8—41no—
344C23×Q8C2×D1111yescharacteristic
345C22×Q16—111no—
346C22×Q16—111no—
347C22×Q16C2×D1111yescharacteristic
348C22×Q16C2×D1111yescharacteristic
349C2×C4⋊Q8—111no—
350C2×C22⋊Q8—111no—
351C2×C22⋊Q8C2×D1111yescharacteristic
352C2×C4×Q8—111no—
353C2×C4×Q8—111no—
354C2×C4×Q8—111no—
355#462—224no—
356#451—24no—
357#451—224no—
358#441—224no—
359C2×#106—111no—
360C2×#106—111no—
361C2×C4⋊C8—111no—
362C2×#103—111no—
363C2×#103—111no—
364C2×#103—111no—
365C2×#103—111no—
366C2×#103—111no—
367C2×#103—111no—
368C2×#103C2×D1111yescharacteristic
369C2×#103C2×D1111yescharacteristic
370C2×C22⋊C8—111no—
371C2×C22⋊C8C2×D1111yescharacteristic
372C2×#97—111no—
373#398—221no—
374#396—221no—
375#391—111no—
376#391—111no—
377#391—111no—
378#391—221no—
379#391—221no—
380#389—111no—
381#389—221no—
382#388—221no—
383#380—111no—
384#380—221no—
385C4×C22⋊C4—111no—
386C4×C22⋊C4—221no—
387#340—111no—
388#340—111no—
389#336—111no—
390#336—111no—
391C22×C11—22no—
392C22×C11—22no—
393C22×C11—22no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—41no—
397C22×C11—41no—
398C22×C11#52511yescharacteristic
399C22×C11D4211yescharacteristic
400C22×C11D4211yescharacteristic
401C22×C11C2×#13711yescharacteristic
402C22×C11C2×#13711yescharacteristic
403C22×C11#57811yescharacteristic
404C22×C11#57811yescharacteristic
405C4×C11—24no—
406C4×C11—41no—
407C4×C11—42no—
408C4×C11—42no—
409C4×C11—81no—
410C4×C11C2×#12111yescharacteristic
411C4×C11#53811yescharacteristic
412C4×C11#54611yescharacteristic
413C4×C11#54611yescharacteristic
414Dic11—22no—
415Dic11—41no—
416Dic11—41no—
417Dic11—41no—
418Dic11—42no—
419Dic11—81no—
420Dic11—81no—
421Dic11—81no—
422C22×Q8—22no—
423C22×Q8—22no—
424C22×Q8—21no—
425C22×Q8—22no—
426C22×Q8—22no—
427C22×Q8—41no—
428C22×Q8—41no—
429C22×Q8—111no—
430C22×Q8C22×D1111yescharacteristic
431C22×Q8C22×D1111yescharacteristic
432C22×Q8C22×D1111yescharacteristic
433C23×C4—21no—
434C23×C4C22×D1111yescharacteristic
435C2×Q16—22no—
436C2×Q16—22no—
437C2×Q16—22no—
438C2×Q16—22no—
439C2×Q16—41no—
440C2×Q16—222no—
441C2×Q16—222no—
442C2×Q16—222no—
443C2×Q16—222no—
444C2×Q16—222no—
445C2×Q16—441no—
446C2×Q16C22⋊D1114yes—
447C22×C8—111no—
448C22×C8—111no—
449C22×C8C22×D1111yescharacteristic
450C22×C8C22×D1111yescharacteristic
451C4⋊Q8—222no—
452C4⋊Q8—441no—
453C22⋊Q8—22no—
454C22⋊Q8—41no—
455C22⋊Q8—222no—
456C22⋊Q8—441no—
457C4×Q8—222no—
458C4×Q8—222no—
459C4×Q8—222no—
460C4×Q8—441no—
461C4×Q8—441no—
462C4×Q8—441no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
471C2×C4⋊C4—221no—
472C2×C4⋊C4—221no—
473C2×C4⋊C4—221no—
474C2×C4⋊C4C22×D1111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—111no—
477C2×C22⋊C4—111no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C42—111no—
481C2×C42—111no—
482C2×C42—221no—
483C2×C42—221no—
484C2×C42—221no—
485#106—222no—
486#106—441no—
487C4⋊C8—222no—
488#103—22no—
489#103—22no—
490#103—114no—
491#103—222no—
492#103—222no—
493#103—222no—
494#103—222no—
495#103—441no—
496C22⋊C8—22no—
497C22⋊C8—222no—
498#97—222no—
499#95—111no—
500#95—111no—
501#95—221no—
502#95—221no—
503#95—221no—
504#95—221no—
505#95—221no—
506#95—221no—
507#95—221no—
508#95—221no—
509C2×C11—42no—
510C2×C11#242411yescharacteristic
511C2×C11#311311yescharacteristic
512C2×C11#312711yescharacteristic
513C2×C11#327011yescharacteristic
514C2×C11#327011yescharacteristic
515C2×C11#327011yescharacteristic
516C2×C11#327611yescharacteristic
517C24D4×D1111yescharacteristic
518C2×Q8—24no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—42no—
533C2×Q8—42no—
534C2×Q8—44no—
535C2×Q8—44no—
536C2×Q8—44no—
537C2×Q8—44no—
538C2×Q8—221no—
539C2×Q8—221no—
540C2×Q8—221no—
541C2×Q8—221no—
542C2×Q8—221no—
543C2×Q8—221no—
544C2×Q8D4×D1112yes—
545C2×Q8#434112yes—
546C2×Q8#434112yes—
547C2×Q8C2×C22⋊D1112yes—
548C2×Q8C2×C22⋊D1112yes—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—42no—
561C22×C4—42no—
562C22×C4—111no—
563C22×C4—111no—
564C22×C4—111no—
565C22×C4—111no—
566C22×C4—221no—
567C22×C4—221no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4D4×D1111yescharacteristic
571C22×C4C23×D1111yescharacteristic
572Q16—28no—
573Q16—44no—
574Q16—444no—
575Q16—444no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—112no—
582C2×C8—221no—
583C2×C8—221no—
584C2×C8—221no—
585C2×C8—221no—
586C2×C8—221no—
587C2×C8C2×C22⋊D1112yes—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4—112no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—442no—
598C4⋊C4—442no—
599C4⋊C4—442no—
600C4⋊C4—442no—
601C4⋊C4—442no—
602C4⋊C4—442no—
603C4⋊C4—442no—
604C22⋊C4—42no—
605C22⋊C4—222no—
606C22⋊C4—222no—
607C22⋊C4—442no—
608C22⋊C4—442no—
609C42—221no—
610C42—221no—
611C42—221no—
612C42—221no—
613C42—442no—
614C42—442no—
615C42—442no—
616C11#2517311yescharacteristic, complemented, Sylow
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23#6697112yes—
624C23C2×D4×D1111yescharacteristic
625Q8—22no—
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—22no—
632Q8—48no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8—441no—
638Q8—441no—
639Q8—441no—
640Q8—441no—
641Q8#6699214yes—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—48no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—112no—
663C2×C4—221no—
664C2×C4—221no—
665C2×C4—221no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—221no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—221no—
672C2×C4—221no—
673C2×C4—221no—
674C2×C4—222no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—441no—
682C2×C4—441no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4C2×D4×D1111yescharacteristic
687C2×C4C2×#434111yescharacteristic
688C2×C4C2×#434111yescharacteristic
689C2×C4#6703711yescharacteristic
690C2×C4#6703711yescharacteristic
691C2×C4C22×C22⋊D1111yescharacteristic
692C8—22no—
693C8—41no—
694C8—222no—
695C8—441no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22#1062311711yescharacteristic
704C22#1062312111yescharacteristic
705C22C2×#6697111yescharacteristic
706C22#1062329711yescharacteristic
707C22D11×#13711yescharacteristic
708C22#1062331011yescharacteristic
709C22D4×C22⋊D1111yescharacteristic
710C4—24no—
711C4—41no—
712C4—42no—
713C4—42no—
714C4—81no—
715C4—222no—
716C4—441no—
717C4—441no—
718C4—441no—
719C4—442no—
720C4—881no—
721C4—881no—
722C4—881no—
723C4#1062312211yescharacteristic
724C4#1062312411yescharacteristic
725C4C2×#6699211yescharacteristic
726C4#1062333711yescharacteristic
727C2—42no—
728C2#1307215611yescharacteristic
729C2#1307874111yescharacteristic
730C2#1307891011yescharacteristic
731C2#1308018011yescharacteristic
732C2#1308018611yescharacteristic
733C2#1308019011yescharacteristic
734C2#1308025511yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#451C2
socleC23×C11C22×D4
prime radicalC24×C11C2×D4
hypercenterC2×#451D11
hypocenterC11#25173
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
1. C2×#10622795C2semidirect
3. C2×#10622797C2semidirect
6. #13069995C2semidirect
9. #13069714C2semidirect
10. #13069484C2semidirect
12. #13068959C2semidirect
13. #13068955C2semidirect
14. #13068882C2semidirect
616. C11#25173semidirect

Maximal subgroups

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

subgroupindex
C2×#106227952
C2×#106228412
C2×#106227972
#130722172
Q8×C22⋊Dic112
#130699952
#130698132
#130698092
#130697142
#130694842
#130692322
#130689592
#130689552
#130688822
C2×C11×#4512
#2517311