Finite Group Databasebeta

← #14660627

Subgroups — #14660627

Order 2816.

1252 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623353C211yesmaximal, characteristic
2C2×#10622618C211yesmaximal, characteristic, complemented
3C2×#10622745C211yesmaximal, characteristic, complemented
4#13077061C211yesmaximal, characteristic, complemented
5#13068355C211yesmaximal, characteristic, complemented
6#13068343C211yesmaximal, characteristic, complemented
7C2×C11×#421C211yesmaximal, characteristic, complemented
8C22×C11×#41C2211yescharacteristic
9C22×#4339C2211yescharacteristic
10C22×C11×M16C2211yescharacteristic
11C2×C11×#117C2211yescharacteristic
12C2×#67004—21no—
13#10623353—22no—
14#10623353—22no—
15#10623353—22no—
16#10623353—22no—
17C2×#67003—22no—
18C2×#67002—21no—
19C2×#66995C412yescomplemented
20C2×#66985C412yescomplemented
21C22×#4318C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C22×#4318C2211yescharacteristic
24C11×#421—22no—
25C11×#421—22no—
26C2×C11×#104—22no—
27#10622847—22no—
28#10622847—22no—
29#10622820—22no—
30C2×#66888—21no—
31#10622745—22no—
32#10622745—22no—
33C2×#66887—21no—
34#10622618—22no—
35#10622618—22no—
36C2×#66869—22no—
37#10622190—22no—
38#10622168—22no—
39C2×C11×#41—21no—
40C2×C11×#41—21no—
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×#41D412yes—
50C2×C11×#41D412yes—
51C22×Q8×C11C2×C411yescharacteristic
52C22×D4×C11—21no—
53C22×D4×C11C2×C411yescharacteristic
54C23×C4×C11—21no—
55C23×C4×C11C2311yescharacteristic
56C22×C22⋊D11—21no—
57C2×#4339—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×#4339C2×C412yes—
68C2×#4339D412yes—
69C22×D44D411yescharacteristic
70C22×C4×D11—21no—
71C22×Dic22D411yescharacteristic
72C2×C11×M16—21no—
73C2×C11×M16—21no—
74C2×C11×M16—21no—
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16D412yes—
78C22×C8×C11—21no—
79C11×#117—21no—
80C11×#117—21no—
81C11×#117—21no—
82C11×#117—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C42×C11D412yes—
86#67004—24no—
87#67004—24no—
88#67003—28no—
89#67003—28no—
90#67002—24no—
91#67002—24no—
92C2×#4326—22no—
93#66995—24no—
94#66995—24no—
95C2×#4325—22no—
96C2×#4324—22no—
97#66985—24no—
98#66985—24no—
99C2×#4323—22no—
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×#4318—21no—
111C2×#4318—21no—
112C2×#4318—21no—
113C2×#4318C2×C412yes—
114C2×#4318D412yes—
115C2×#4318D412yes—
116C2×#4318D412yes—
117C2×#4318D412yes—
118C22×C11⋊C8—21no—
119C22×C11⋊C8—21no—
120C22×C11⋊C8—21no—
121C11×#104—28no—
122C22⋊(C11⋊C8)—28no—
123#66888—24no—
124#66887—24no—
125#66869—28no—
126#11032—111nomaximal, Sylow
127C24×C11—21no—
128C24×C11#4111yescharacteristic
129C23×D11—21no—
130C11×#41—22no—
131C11×#41—22no—
132C11×#41—22no—
133C11×#41—22no—
134C11×#41—22no—
135C11×#41—22no—
136C11×#41—22no—
137C11×#41—22no—
138C11×#41—41no—
139C11×#41—41no—
140C11×#41—41no—
141C11×#41—41no—
142C11×#41—41no—
143C11×#41—41no—
144C11×#41—41no—
145C11×#41—41no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11C22⋊C412yes—
152C2×D4×C11—22no—
153C2×D4×C11—22no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—41no—
160C2×D4×C11—41no—
161C2×D4×C11—41no—
162C2×D4×C11—41no—
163C2×D4×C11C22⋊C412yes—
164C22×C4×C11—21no—
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11—41no—
169C22×C4×C11—41no—
170C22×C4×C11—41no—
171C22×C4×C11—41no—
172C22×C4×C11C22×C411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
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×C11#4111yescharacteristic
184C22×C4×C11#4111yescharacteristic
185C22×C4×C11#4111yescharacteristic
186C2×C22⋊D11—22no—
187C2×C22⋊D11—22no—
188C2×C22⋊D11—41no—
189C2×C22⋊D11—41no—
190C2×C22⋊D11—41no—
191C2×C22⋊D11—41no—
192C22×Dic11—21no—
193#4339—22no—
194#4339—22no—
195#4339—22no—
196#4339—22no—
197#4339—22no—
198#4339—22no—
199#4339—22no—
200#4339—22no—
201#4339—41no—
202#4339—41no—
203#4339—41no—
204#4339—41no—
205#4339—41no—
206#4339—41no—
207#4339—41no—
208#4339—41no—
209C2×D44—21no—
210C2×D44—21no—
211C2×D44—21no—
212C2×D44—21no—
213C2×D44—21no—
214C2×D44C22⋊C412yes—
215C2×C4×D11—22no—
216C2×C4×D11—22no—
217C2×C4×D11—41no—
218C2×C4×D11—41no—
219C2×C4×D11—41no—
220C2×C4×D11—41no—
221C2×Dic22—21no—
222C2×Dic22—21no—
223C2×Dic22—21no—
224C2×Dic22—21no—
225C2×Dic22—21no—
226C2×Dic22C22⋊C412yes—
227C11×M16—22no—
228C11×M16—22no—
229C11×M16—41no—
230C11×M16—41no—
231C2×C8×C11—22no—
232C2×C8×C11—41no—
233C2×C8×C11—41no—
234C11×C4⋊C4—41no—
235C11×C4⋊C4—41no—
236C11×C22⋊C4—41no—
237C11×C22⋊C4—41no—
238C42×C11—22no—
239C42×C11—22no—
240#4326—28no—
241#4325—28no—
242#4324—28no—
243#4323—28no—
244#4318—22no—
245#4318—22no—
246#4318—22no—
247#4318—22no—
248#4318—22no—
249#4318—22no—
250#4318—22no—
251#4318—41no—
252#4318—41no—
253#4318—41no—
254#4318—41no—
255#4318C22⋊C414yes—
256C2×C11⋊C8—22no—
257C2×C11⋊C8—22no—
258C2×C11⋊C8—22no—
259C2×C11⋊C8—22no—
260C2×C11⋊C8—22no—
261C2×C11⋊C8—41no—
262C2×C11⋊C8—41no—
263C2×C11⋊C8—41no—
264C2×C11⋊C8—41no—
265C2×#575—111no—
266C2×#421—111no—
267C2×#421D1111yescharacteristic, complemented
268C2×#413—111no—
269#2879—111no—
270#1742—111no—
271#1738—111no—
272C23×C11—22no—
273C23×C11—41no—
274C23×C11—41no—
275C23×C11—81no—
276C23×C11—82no—
277C23×C11C4×D411yescharacteristic
278C23×C11#12111yescharacteristic
279C23×C11#12111yescharacteristic
280C23×C11#12111yescharacteristic
281C23×C11#12311yescharacteristic
282C23×C11#12311yescharacteristic
283C23×C11#12411yescharacteristic
284C22×D11—22no—
285C22×D11—41no—
286C22×D11—41no—
287C22×D11—82no—
288Q8×C11—22no—
289Q8×C11—22no—
290Q8×C11—41no—
291Q8×C11—41no—
292D4×C11—22no—
293D4×C11—22no—
294D4×C11—42no—
295D4×C11—42no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—41no—
299D4×C11—41no—
300C2×C4×C11—22no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—82no—
309C2×C4×C11C2×C22⋊C411yescharacteristic
310C2×C4×C11C2×C22⋊C411yescharacteristic
311C2×C4×C11C2×C22⋊C411yescharacteristic
312C2×C4×C11C4×D411yescharacteristic
313C2×C4×C11C4×D411yescharacteristic
314C2×C4×C11C4×D411yescharacteristic
315C2×C4×C11#12011yescharacteristic
316C2×C4×C11#12011yescharacteristic
317C2×C4×C11#12011yescharacteristic
318C2×C4×C11#12011yescharacteristic
319C2×C4×C11#12011yescharacteristic
320C2×C4×C11#12011yescharacteristic
321C2×C4×C11#12011yescharacteristic
322C2×C4×C11#12011yescharacteristic
323C2×C4×C11#12111yescharacteristic
324C2×C4×C11#12111yescharacteristic
325C2×C4×C11#12111yescharacteristic
326C2×C4×C11#12111yescharacteristic
327C2×C4×C11#12111yescharacteristic
328C2×C4×C11#12111yescharacteristic
329C2×C4×C11#12111yescharacteristic
330C2×C4×C11#12111yescharacteristic
331C2×C4×C11#12111yescharacteristic
332C2×C4×C11#12311yescharacteristic
333C2×C4×C11#12311yescharacteristic
334C2×C4×C11#12411yescharacteristic
335C2×C4×C11#12711yescharacteristic
336C2×C4×C11#12711yescharacteristic
337C22⋊D11—42no—
338C22⋊D11—42no—
339C22⋊D11—42no—
340C22⋊D11—42no—
341C2×Dic11—22no—
342C2×Dic11—41no—
343C2×Dic11—41no—
344D44—22no—
345D44—22no—
346D44—41no—
347D44—41no—
348C4×D11—42no—
349C4×D11—42no—
350C4×D11—42no—
351C4×D11—42no—
352Dic22—22no—
353Dic22—22no—
354Dic22—41no—
355Dic22—41no—
356C8×C11—42no—
357C11⋊C8—24no—
358C11⋊C8—42no—
359C11⋊C8—42no—
360C22×#41—111no—
361C22×#41C2×D1111yescharacteristic
362#575—222no—
363#575—222no—
364#575—222no—
365#575—222no—
366C2×#137—112no—
367C2×#137—221no—
368C2×AGL(1,ℤ/8)—112no—
369C2×AGL(1,ℤ/8)—221no—
370C2×#135—222no—
371C22×M16—111no—
372C22×M16—111no—
373C22×M16—111no—
374C22×M16C2×D1111yescharacteristic
375C2×#117C2×D1111yescharacteristic
376#421—22no—
377#421—22no—
378#421—222no—
379#421—222no—
380C2×#104—22no—
381C2×#104—222no—
382#413—222no—
383#413—222no—
384C2×#101—221no—
385C2×#100—221no—
386#408—222no—
387#408—222no—
388#407—222no—
389#343—222no—
390#341—222no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—41no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—41no—
397C22×C11—41no—
398C22×C11—44no—
399C22×C11—42no—
400C22×C11—82no—
401C22×C11—82no—
402C22×C11#38611yescharacteristic
403C22×C11#38611yescharacteristic
404C22×C11#39011yescharacteristic
405C22×C11#39211yescharacteristic
406C22×C11#39411yescharacteristic
407C22×C11#39411yescharacteristic
408C22×C11#39411yescharacteristic
409C2×D11—42no—
410C2×D11—82no—
411C2×D11—82no—
412C2×D11—82no—
413C4×C11—42no—
414C4×C11—82no—
415C4×C11#37911yescharacteristic
416C4×C11#38611yescharacteristic
417C4×C11#38611yescharacteristic
418C4×C11#39011yescharacteristic
419C4×C11#39211yescharacteristic
420C4×C11#39211yescharacteristic
421C4×C11#39211yescharacteristic
422C4×C11#39411yescharacteristic
423Dic11—42no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—112no—
435C2×#41—112no—
436C2×#41—221no—
437C2×#41—221no—
438C2×#41—221no—
439C2×#41—221no—
440C2×#41—221no—
441C2×#41—221no—
442C2×#41—221no—
443C2×#41—221no—
444C2×#41—221no—
445C2×#41—221no—
446C2×#41D4412yes—
447C2×#41C22⋊D1112yes—
448C22×Q8—111no—
449C22×Q8C4×D1111yescharacteristic
450C22×D4—21no—
451C22×D4—111no—
452C22×D4—221no—
453C22×D4C4×D1111yescharacteristic
454C23×C4—21no—
455C23×C4—221no—
456C23×C4C22×D1111yescharacteristic
457#137—224no—
458#137—224no—
459#137—224no—
460#137—224no—
461AGL(1,ℤ/8)—224no—
462AGL(1,ℤ/8)—224no—
463AGL(1,ℤ/8)—224no—
464AGL(1,ℤ/8)—224no—
465#135—228no—
466#135—228no—
467C2×Q16—222no—
468C2×SD16—222no—
469C2×SD16—222no—
470C2×D8—222no—
471C2×M16—21no—
472C2×M16—21no—
473C2×M16—21no—
474C2×M16—21no—
475C2×M16—21no—
476C2×M16—112no—
477C2×M16—112no—
478C2×M16—112no—
479C2×M16—112no—
480C2×M16—112no—
481C2×M16—221no—
482C2×M16—221no—
483C2×M16—221no—
484C2×M16—221no—
485C2×M16—221no—
486C2×M16—221no—
487C2×M16—221no—
488C2×M16—221no—
489C2×M16—221no—
490C2×M16—221no—
491C2×M16—221no—
492C2×M16—221no—
493C2×M16—221no—
494C2×M16C22⋊D1112yes—
495C22×C8—21no—
496C22×C8—221no—
497C22×C8—221no—
498C22×C8—221no—
499#117—21no—
500#117—21no—
501#117—21no—
502#117—21no—
503C2×C4⋊C4—21no—
504C2×C22⋊C4—21no—
505C2×C42C22⋊D1112yes—
506#104—28no—
507#104—228no—
508#101—224no—
509#100—224no—
510C22⋊C8—228no—
511C2×C11—21no—
512C2×C11—21no—
513C2×C11—21no—
514C2×C11—21no—
515C2×C11—21no—
516C2×C11—21no—
517C2×C11—21no—
518C2×C11—82no—
519C2×C11#143811yescharacteristic
520D11—82no—
521C24—21no—
522C24—221no—
523C24#434111yescharacteristic
524#41—22no—
525#41—22no—
526#41—22no—
527#41—22no—
528#41—22no—
529#41—22no—
530#41—22no—
531#41—22no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—41no—
538#41—41no—
539#41—41no—
540#41—222no—
541#41—222no—
542#41—222no—
543#41—222no—
544#41—222no—
545#41—222no—
546#41—222no—
547#41—222no—
548#41—441no—
549#41—441no—
550#41—441no—
551#41—441no—
552#41—441no—
553#41—441no—
554#41—441no—
555#41—441no—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—112no—
562C2×Q8—221no—
563C2×Q8—221no—
564C2×Q8—221no—
565C2×Q8—221no—
566C2×Q8—221no—
567C2×Q8(C2×D11)⋊C412yes—
568C2×D4—22no—
569C2×D4—22no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4—41no—
578C2×D4—41no—
579C2×D4—112no—
580C2×D4—222no—
581C2×D4—222no—
582C2×D4—221no—
583C2×D4—221no—
584C2×D4—221no—
585C2×D4—221no—
586C2×D4—221no—
587C2×D4—441no—
588C2×D4—441no—
589C2×D4—441no—
590C2×D4—441no—
591C2×D4(C2×D11)⋊C412yes—
592C22×C4—21no—
593C22×C4—22no—
594C22×C4—22no—
595C22×C4—22no—
596C22×C4—41no—
597C22×C4—41no—
598C22×C4—41no—
599C22×C4—41no—
600C22×C4—221no—
601C22×C4—222no—
602C22×C4—222no—
603C22×C4—441no—
604C22×C4—441no—
605C22×C4—441no—
606C22×C4—441no—
607C22×C4C2×C4×D1111yescharacteristic
608C22×C4C2×D4411yescharacteristic
609C22×C4#433911yescharacteristic
610C22×C4#433911yescharacteristic
611C22×C4D4×D1111yescharacteristic
612C22×C4D4×D1111yescharacteristic
613C22×C4D4×D1111yescharacteristic
614C22×C4D4×D1111yescharacteristic
615C22×C4D4×D1111yescharacteristic
616C22×C4D4×D1111yescharacteristic
617C22×C4#434111yescharacteristic
618C22×C4C2×C22⋊D1111yescharacteristic
619C22×C4C2×C22⋊D1111yescharacteristic
620C22×C4C2×C22⋊D1111yescharacteristic
621Q16—228no—
622SD16—228no—
623SD16—228no—
624D8—228no—
625M16—22no—
626M16—22no—
627M16—41no—
628M16—41no—
629M16—114no—
630M16—222no—
631M16—222no—
632M16—222no—
633M16—222no—
634M16—222no—
635M16—222no—
636M16—222no—
637M16—441no—
638M16—441no—
639M16—441no—
640M16—441no—
641C2×C8—22no—
642C2×C8—41no—
643C2×C8—41no—
644C2×C8—222no—
645C2×C8—222no—
646C2×C8—222no—
647C2×C8—222no—
648C2×C8—222no—
649C2×C8—441no—
650C2×C8—441no—
651C2×C8—441no—
652C2×C8—441no—
653C4⋊C4—41no—
654C4⋊C4—41no—
655C22⋊C4—41no—
656C22⋊C4—41no—
657C42—22no—
658C42—22no—
659C11#1103211yescharacteristic, complemented, Sylow
660C23—22no—
661C23—41no—
662C23—41no—
663C23—81no—
664C23—82no—
665C23—222no—
666C23—441no—
667C23—441no—
668C23—882no—
669C23(C22⋊D11)⋊C411yescharacteristic
670C23#6693611yescharacteristic
671C23#6693811yescharacteristic
672C23#6693911yescharacteristic
673C23#6699111yescharacteristic
674C23#6699211yescharacteristic
675C23#6699211yescharacteristic
676Q8—22no—
677Q8—22no—
678Q8—41no—
679Q8—41no—
680Q8—222no—
681Q8—222no—
682Q8—441no—
683Q8—441no—
684D4—22no—
685D4—22no—
686D4—42no—
687D4—42no—
688D4—42no—
689D4—42no—
690D4—41no—
691D4—41no—
692D4—222no—
693D4—222no—
694D4—442no—
695D4—442no—
696D4—442no—
697D4—442no—
698D4—441no—
699D4—441no—
700C2×C4—22no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—82no—
709C2×C4—222no—
710C2×C4—441no—
711C2×C4—441no—
712C2×C4—442no—
713C2×C4—442no—
714C2×C4—442no—
715C2×C4—442no—
716C2×C4C22⋊C4×D1111yescharacteristic
717C2×C4C22⋊C4×D1111yescharacteristic
718C2×C4(C22⋊D11)⋊C411yescharacteristic
719C2×C4#6693511yescharacteristic
720C2×C4#6693511yescharacteristic
721C2×C4#6693511yescharacteristic
722C2×C4#6693611yescharacteristic
723C2×C4#6693711yescharacteristic
724C2×C4#6693711yescharacteristic
725C2×C4#6693711yescharacteristic
726C2×C4#6693711yescharacteristic
727C2×C4#6693811yescharacteristic
728C2×C4C2×(C2×D11)⋊C411yescharacteristic
729C2×C4C4×C22⋊D1111yescharacteristic
730C2×C4C4×C22⋊D1111yescharacteristic
731C2×C4#6698211yescharacteristic
732C2×C4#6698311yescharacteristic
733C2×C4#6698311yescharacteristic
734C2×C4#6699011yescharacteristic
735C2×C4#6699011yescharacteristic
736C2×C4#6699011yescharacteristic
737C2×C4#6699011yescharacteristic
738C2×C4#6699111yescharacteristic
739C2×C4#6699211yescharacteristic
740C2×C4#6699211yescharacteristic
741C2×C4#6699311yescharacteristic
742C2×C4#6699311yescharacteristic
743C2×C4#6700611yescharacteristic
744C8—42no—
745C8—224no—
746C8—442no—
747C8—442no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—44no—
756C22—42no—
757C22—82no—
758C22—82no—
759C22—442no—
760C22—882no—
761C22—882no—
762C22—882no—
763C22#1062256911yescharacteristic
764C22#1062257011yescharacteristic
765C22#1062257111yescharacteristic
766C22#1062257211yescharacteristic
767C22#1062257411yescharacteristic
768C22#1062257411yescharacteristic
769C22#1062283611yescharacteristic
770C4—42no—
771C4—82no—
772C4—442no—
773C4#1062256811yescharacteristic
774C4#1062256911yescharacteristic
775C4#1062257011yescharacteristic
776C4#1062257211yescharacteristic
777C4#1062257311yescharacteristic
778C4#1062257311yescharacteristic
779C4#1062282611yescharacteristic
780C4#1062283611yescharacteristic
781C2—21no—
782C2—21no—
783C2—21no—
784C2—21no—
785C2—21no—
786C2—21no—
787C2—21no—
788C2—82no—
789C2—882no—
790C2#1306685511yescharacteristic
subgroupG/H
centerC4#10622573
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC2×C11×#421C2
socleC2×C11#1438
prime radicalC2×#10623353C2
cosocleC23×C4×C11C23
hypercenterC2×#421D11
hypocenterC11#11032
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
2. C2×#10622618C2semidirect
3. C2×#10622745C2semidirect
4. #13077061C2semidirect
5. #13068355C2semidirect
6. #13068343C2semidirect
7. C2×C11×#421C2semidirect
19. C2×#66995C4semidirect
20. C2×#66985C4semidirect
267. C2×#421D11semidirect
659. C11#11032semidirect

Maximal subgroups

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

subgroupindex
C2×#106233532
C2×#106226182
C2×#106227452
#130770612
#130683552
#130683432
C2×C11×#4212
#1103211