Finite Group Databasebeta

← #14774136

Subgroups — #14774136

Order 2816.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622660C211yesmaximal, characteristic
2C2×#10622643C211yesmaximal, characteristic, complemented
3C2×#10622615C211yesmaximal, characteristic
4#13071456C211yesmaximal, characteristic
5#13069500C211yesmaximal, characteristic, complemented
6#13069312C211yesmaximal, characteristic, complemented
7#13069243C211yesmaximal, characteristic, complemented
8#13069040C211yesmaximal, characteristic, complemented
9#13068971C211yesmaximal, characteristic, complemented
10#13068960C211yesmaximal, characteristic, complemented
11#13068869C211yesmaximal, characteristic, complemented
12#13068815C211yesmaximal, characteristic, complemented
13#13068449C211yesmaximal, characteristic, complemented
14#13068394C211yesmaximal, characteristic, complemented
15C11×#2362C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C22×#4326C2211yescharacteristic
21C22×#4325C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×C4×Dic22C2211yescharacteristic
24C2×C4×Dic22C2211yescharacteristic
25C11×#391C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#388—21no—
28C11×#388—21no—
29C11×#387—21no—
30C4×C11×C4⋊C4—21no—
31C4×C11×C4⋊C4C2211yescharacteristic
32C4×C11×C22⋊C4C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35#10622825C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622660C418yescomplemented
38#10622643—24no—
39#10622615—24no—
40C2×#66874C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48#10622570—21no—
49#10622570—21no—
50#10622552C2211yescharacteristic
51#10622552C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54#10622280—21no—
55#10622279—21no—
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C2×#4339—22no—
66C2×#4339—22no—
67C2×#4339—22no—
68C2×#4339—41no—
69C2×#4339—41no—
70C2×#4339C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×Dic22C2311yescharacteristic
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8C2×C414yes—
76C4×Q8×C11—22no—
77C4×Q8×C11—41no—
78C11×#117—22no—
79C11×#117—41no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C42×C11—21no—
91C2×C42×C11—21no—
92C2×C42×C11—21no—
93C2×C42×C11C2311yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×C22⋊Dic11—21no—
96C2×#4326—22no—
97C2×#4326—22no—
98C2×#4326C2×C414yes—
99C2×#4325—41no—
100C2×#4325—41no—
101C2×#4325C2×C414yes—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×Dic11⋊C4—21no—
109C2×Dic11⋊C4—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11—21no—
112C22×C11⋊C8—22no—
113C22×C11⋊C8—22no—
114C22×C11⋊C8—41no—
115C22×C11⋊C8C2311yescharacteristic
116C22×C11⋊C8C2311yescharacteristic
117C22×C11⋊C8C2311yescharacteristic
118C22×C11⋊C8C2311yescharacteristic
119C4×Dic22—22no—
120C4×Dic22—22no—
121C4×Dic22—41no—
122C4×Dic22—41no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95D411yescharacteristic
128C11×#95D411yescharacteristic
129#66899—22no—
130#66899—41no—
131C11⋊#95—21no—
132C22⋊(C11⋊C8)C2×C414yes—
133#66874—22no—
134#66874C2×C414yes—
135#66874D414yes—
136#66873—22no—
137#66873—22no—
138#66873C2×C414yes—
139#66872—22no—
140#66871—41no—
141#66867—22no—
142#66867—41no—
143#22861—111nomaximal, Sylow
144C24×C11C2×D411yescharacteristic
145C23×D11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11C22×C412yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11C22×C412yes—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11#4112yes—
167C22×C4×C11C2411yescharacteristic
168C2×C22⋊D11—24no—
169C2×C22⋊D11—42no—
170C2×C22⋊D11—42no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174#4339—28no—
175#4339—44no—
176#4339—44no—
177#4339—44no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C2×D44—21no—
183C2×D44C22×C412yes—
184C2×C4×D11—24no—
185C2×C4×D11—42no—
186C2×C4×D11—42no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22C22×C412yes—
191C2×Dic22C2×D412yes—
192C2×Dic22#4112yes—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4C22×C412yes—
201C11×C4⋊C4C2×D412yes—
202C11×C22⋊C4—24no—
203C11×C22⋊C4—41no—
204C11×C22⋊C4—41no—
205C11×C22⋊C4—42no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—42no—
211C42×C11—42no—
212C42×C11—42no—
213C22⋊Dic11—81no—
214#4326—28no—
215#4325—44no—
216(C2×D11)⋊C4—42no—
217(C2×D11)⋊C4—42no—
218(C2×D11)⋊C4—81no—
219(C2×D11)⋊C4—81no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224Dic11⋊C4—42no—
225Dic11⋊C4—42no—
226C4×Dic11—42no—
227C4×Dic11—42no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—44no—
238C2×C11⋊C8C22×C412yes—
239C2×C11⋊C8C22×C412yes—
240C2×C11⋊C8C2×D412yes—
241C2×#452—111no—
242C2×#441—111no—
243C2×#416—111no—
244#2362D1111yescharacteristic, complemented
245#2341—111no—
246#1973—111no—
247#1936—111no—
248#1926—111no—
249#1892—111no—
250#1880—111no—
251#1878—111no—
252#1863—111no—
253#1854—111no—
254#1763—111no—
255#1752—111no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11C4×D412yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—22no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—41no—
274Q8×C11—41no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—22no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
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×C11C4×D412yes—
306C2×C4×C11C23×C411yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11H(5,𝔽2)11yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C22⋊D11—48no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322D44—22no—
323D44—22no—
324D44—41no—
325D44—41no—
326C4×D11—48no—
327Dic22—22no—
328Dic22—22no—
329Dic22—22no—
330Dic22C4×D414yes—
331C11⋊C8—22no—
332C11⋊C8—22no—
333C11⋊C8—22no—
334C11⋊C8—41no—
335C22×#41—111no—
336C22×Q16—111no—
337C22×SD16—111no—
338C23×C8—111no—
339C2×C22⋊Q8C2×D1111yescharacteristic
340C2×C4×Q8—111no—
341C2×C4×Q8—111no—
342C2×C4×Q8C2×D1111yescharacteristic
343C2×#117C2×D1111yescharacteristic
344#452—118no—
345#441—224no—
346C2×#107—111no—
347C2×#106—111no—
348#416—224no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#102—111no—
357C2×C22⋊C8—111no—
358C2×#97—111no—
359C2×#97—111no—
360#391C2×D1111yescharacteristic
361#390—111no—
362#390—111no—
363#390—221no—
364#390—221no—
365#389C2×D1111yescharacteristic
366#388—21no—
367#388—21no—
368#387—21no—
369#380—111no—
370#380—221no—
371C4×C4⋊C4—21no—
372C4×C4⋊C4C2×D1111yescharacteristic
373C4×C22⋊C4—221no—
374C4×C22⋊C4C2×D1111yescharacteristic
375#340—111no—
376#340—111no—
377#340—111no—
378#340—111no—
379#336—111no—
380#336—111no—
381C22×C11—22no—
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11C2×C4×D411yescharacteristic
389C22×C11D4211yescharacteristic
390C22×C11#54611yescharacteristic
391C22×C11#57511yescharacteristic
392C22×C11#57511yescharacteristic
393C22×C11#57711yescharacteristic
394C22×C11#57811yescharacteristic
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C4×C11—22no—
403C4×C11—42no—
404C4×C11—42no—
405C4×C11—41no—
406C4×C11—42no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—81no—
411C4×C11C2×C4×D411yescharacteristic
412C4×C11#51811yescharacteristic
413C4×C11#54611yescharacteristic
414C4×C11#55111yescharacteristic
415Dic11—24no—
416Dic11—81no—
417Dic11—81no—
418C2×#41—114no—
419C2×#41—222no—
420C2×#41—222no—
421C2×#41—222no—
422C2×#41—441no—
423C2×#41—441no—
424C22×Q8—111no—
425C22×Q8C22×D1111yescharacteristic
426C22×D4—111no—
427C22×D4—221no—
428C23×C4—221no—
429C23×C4C22×D1111yescharacteristic
430C2×Q16—114no—
431C2×Q16—222no—
432C2×Q16—222no—
433C2×SD16—114no—
434C2×SD16—441no—
435C2×SD16—441no—
436C22×C8—111no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8—111no—
440C22×C8—222no—
441C22×C8—222no—
442C22×C8—441no—
443C22⋊Q8—22no—
444C22⋊Q8C4×D1114yes—
445C4×Q8—22no—
446C4×Q8—41no—
447C4×Q8—222no—
448C4×Q8—222no—
449C4×Q8—441no—
450C4×Q8—441no—
451#117—22no—
452#117—41no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4C22⋊D1111yescharacteristic
471C2×C22⋊C4C22⋊D1111yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—221no—
476C2×C42—221no—
477C2×C42C22×D1111yescharacteristic
478C2×C42C22×D1111yescharacteristic
479#107—441no—
480#106—222no—
481#103—114no—
482#103—114no—
483#103—222no—
484#103—222no—
485#103—441no—
486#102—114no—
487#102—222no—
488#102—222no—
489C22⋊C8—114no—
490#97—222no—
491#97—441no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—221no—
497#95C22⋊D1111yescharacteristic
498#95C22⋊D1111yescharacteristic
499C2×C11—42no—
500C2×C11#235811yescharacteristic
501C2×C11#294311yescharacteristic
502C2×C11#294711yescharacteristic
503C2×C11#326911yescharacteristic
504C2×C11#327111yescharacteristic
505C2×C11#331311yescharacteristic
506C2×C11#331711yescharacteristic
507D11—82no—
508C24—221no—
509C24C2×C22⋊D1111yescharacteristic
510#41—228no—
511#41—444no—
512#41—444no—
513#41—444no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—112no—
520C2×Q8—112no—
521C2×Q8—112no—
522C2×Q8—221no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8C2×C4×D1112yes—
526C2×D4—112no—
527C2×D4—224no—
528C2×D4—221no—
529C2×D4—221no—
530C2×D4—221no—
531C2×D4—221no—
532C2×D4—221no—
533C2×D4—442no—
534C2×D4—442no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—221no—
544C22×C4—224no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—442no—
548C22×C4—442no—
549C22×C4C2×C4×D1112yes—
550C22×C4#433912yes—
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C2×C22⋊D1111yescharacteristic
555C22×C4C2×C22⋊D1111yescharacteristic
556C22×C4C23×D1111yescharacteristic
557Q16—228no—
558SD16—444no—
559C2×C8—112no—
560C2×C8—112no—
561C2×C8—112no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—444no—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—442no—
584C4⋊C4—442no—
585C4⋊C4C2×C4×D1112yes—
586C4⋊C4D4×D1112yes—
587C22⋊C4—24no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—42no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—881no—
594C22⋊C4—881no—
595C22⋊C4—881no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—42no—
601C42—42no—
602C42—42no—
603C42—442no—
604C42—442no—
605C11#2286111yescharacteristic, complemented, Sylow
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—222no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23C4×C22⋊D1112yes—
620C23C22×C22⋊D1111yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—41no—
624Q8—41no—
625Q8—114no—
626Q8—222no—
627Q8—222no—
628Q8—222no—
629D4—222no—
630D4—222no—
631D4—448no—
632D4—441no—
633D4—441no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—448no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4C4×C22⋊D1112yes—
675C2×C4C22×C4×D1111yescharacteristic
676C2×C4C2×#433911yescharacteristic
677C2×C4C2×D4×D1111yescharacteristic
678C2×C4#6703711yescharacteristic
679C2×C4#41×D1111yescharacteristic
680C2×C4#6704211yescharacteristic
681C8—222no—
682C8—222no—
683C8—222no—
684C8—441no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—442no—
693C22—442no—
694C22—442no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22C2×C4×C22⋊D1111yescharacteristic
700C22D4×C22⋊D1111yescharacteristic
701C22#1062335311yescharacteristic
702C22#1062335311yescharacteristic
703C22#1062336011yescharacteristic
704C22#1062336811yescharacteristic
705C22#1062336911yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—42no—
713C4—42no—
714C4—81no—
715C4—224no—
716C4—881no—
717C4—881no—
718C4C4×D4×D1111yescharacteristic
719C4#1062307611yescharacteristic
720C4#1062308111yescharacteristic
721C4#1062308711yescharacteristic
722C2—42no—
723C2—882no—
724C2#1307159311yescharacteristic
725C2#1307741411yescharacteristic
726C2#1307745911yescharacteristic
727C2#1308016711yescharacteristic
728C2#1308020211yescharacteristic
729C2#1308067611yescharacteristic
730C2#1308073611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2362C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC22×C4×C11C24
hypercenter#2362D11
hypocenterC11#22861
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2362

Complements

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

NH ≅ G/Ntype
2. C2×#10622643C2semidirect
5. #13069500C2semidirect
6. #13069312C2semidirect
7. #13069243C2semidirect
8. #13069040C2semidirect
9. #13068971C2semidirect
10. #13068960C2semidirect
11. #13068869C2semidirect
12. #13068815C2semidirect
13. #13068449C2semidirect
14. #13068394C2semidirect
15. C11×#2362C2semidirect
37. #10622660C4semidirect
244. #2362D11semidirect
605. C11#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#106226602
C2×#106226432
C2×#106226152
#130714562
#130695002
#130693122
#130692432
#130690402
#130689712
#130689602
#130688692
#130688152
#130684492
#130683942
C11×#23622
#2286111