Finite Group Databasebeta

← #14774056

Subgroups — #14774056

Order 2816.

1118 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×#10622852C211yesmaximal, characteristic
2C2×#10622631C211yesmaximal, characteristic, complemented
3C2×#10622846C211yesmaximal, characteristic
4#13071641C211yesmaximal, characteristic, complemented
5#13069486C211yesmaximal, characteristic, complemented
6#13069309C211yesmaximal, characteristic, complemented
7#13069254C211yesmaximal, characteristic, complemented
8#13069037C211yesmaximal, characteristic, complemented
9#13068960C211yesmaximal, characteristic, complemented
10#13068950C211yesmaximal, characteristic, complemented
11#13068877C211yesmaximal, characteristic, complemented
12#13068813C211yesmaximal, characteristic, complemented
13#13068441C211yesmaximal, characteristic, complemented
14#13068394C211yesmaximal, characteristic, complemented
15C11×#2339C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4326C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C2×#66977C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C2×C4×Dic22C2211yescharacteristic
25C11×#391C2211yescharacteristic
26C11×#391C2211yescharacteristic
27C11×#386—21no—
28C11×#386—21no—
29C11×#381—21no—
30C11×#380C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C2×C11×#95—21no—
33#10622852C418yescomplemented
34#10622846—24no—
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39C2×#66896C2211yescharacteristic
40C2×#66896C2211yescharacteristic
41C2×C22⋊(C11⋊C8)C2211yescharacteristic
42#10622631—24no—
43C2×#66874C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622558—21no—
48#10622557—21no—
49C4×C4⋊Dic11C2211yescharacteristic
50#10622542C2211yescharacteristic
51#10622541C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54#10622265—21no—
55#10622262—21no—
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62C2×C11×#41—22no—
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—41no—
66C2×C11×#41—41no—
67C2×C11×#41C2×C414yes—
68C22×Q8×C11C2311yescharacteristic
69C22×D4×C11—21no—
70C22×D4×C11C2311yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11—21no—
73C23×C4×C11—21no—
74C23×C4×C11C2311yescharacteristic
75C22×Dic22C2311yescharacteristic
76C4×D4×C11—22no—
77C4×D4×C11—22no—
78C4×D4×C11—41no—
79C4×D4×C11—41no—
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×#4326—41no—
92C2×#4326—41no—
93C2×#4326C2×C414yescomplemented
94C2×#4324—22no—
95C2×#4324—22no—
96C2×#4324C2×C414yes—
97#66979—22no—
98#66979—41no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102#66977—22no—
103#66977C2×C414yescomplemented
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C22×C11⋊C8—22no—
111C22×C11⋊C8—22no—
112C22×C11⋊C8—41no—
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C22×C11⋊C8C2311yescharacteristic
116C22×C11⋊C8C2311yescharacteristic
117C4×Dic22—22no—
118C4×Dic22—41no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95D411yescharacteristic
125C11×#95D411yescharacteristic
126#66899—22no—
127#66899—22no—
128#66899C2×C414yescomplemented
129#66896—22no—
130#66896C2×C414yes—
131#66896D414yes—
132C11⋊#95—21no—
133C11⋊#95—21no—
134C11⋊#95—21no—
135C11⋊#95—21no—
136C22⋊(C11⋊C8)C2×C414yescomplemented
137#66874—22no—
138#66874—41no—
139#66872—41no—
140#66871—22no—
141#66867—22no—
142#66867—41no—
143#22856—111nomaximal, Sylow
144C24×C11—21no—
145C24×C11C2×D411yescharacteristic
146C11×#41—28no—
147C11×#41—44no—
148C11×#41—44no—
149C11×#41—44no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11C22×C412yes—
156C2×D4×C11—24no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—42no—
161C2×D4×C11—42no—
162C2×D4×C11C22×C412yes—
163C2×D4×C11C2×D412yes—
164C2×D4×C11#4112yes—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—24no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—81no—
180C22×C4×C11—81no—
181C22×C4×C11C22×C412yes—
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11#4112yes—
188C22×C4×C11C2411yescharacteristic
189C22×Dic11—21no—
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C2×Dic22—21no—
194C2×Dic22—21no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22C22×C412yes—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C22⋊C4—41no—
204C11×C22⋊C4—41no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—81no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C22⋊Dic11—24no—
213C22⋊Dic11—42no—
214#4326—44no—
215#4324—28no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11C22×C412yes—
221C4⋊Dic11C2×D412yes—
222Dic11⋊C4—24no—
223Dic11⋊C4—42no—
224Dic11⋊C4—42no—
225C4×Dic11—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×#440—111no—
243C2×#416—111no—
244#2362—111no—
245#2339D1111yescharacteristic
246#1971—111no—
247#1935—111no—
248#1928—111no—
249#1892—111no—
250#1878—111no—
251#1877—111no—
252#1864—111no—
253#1854—111no—
254#1762—111no—
255#1752—111no—
256C23×C11—22no—
257C23×C11—21no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11—21no—
263C23×C11—21no—
264C23×C11—21no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11C4×D412yes—
270C23×C11C22×D411yescharacteristic
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—41no—
274Q8×C11—41no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—22no—
278D4×C11—48no—
279D4×C11C4×D414yes—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
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—21no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—48no—
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×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—84no—
309C2×C4×C11—84no—
310C2×C4×C11C4×D412yes—
311C2×C4×C11C23×C411yescharacteristic
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C2×#4111yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C2×C4×C11H(5,𝔽2)11yescharacteristic
316C2×C4×C11H(5,𝔽2)11yescharacteristic
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329Dic22—22no—
330Dic22—22no—
331Dic22—41no—
332Dic22—41no—
333C11⋊C8—22no—
334C11⋊C8—22no—
335C11⋊C8—22no—
336C11⋊C8—41no—
337C22×#41C2×D1111yescharacteristic
338C22×Q16—111no—
339C22×SD16—111no—
340C23×C8—111no—
341C2×C22⋊Q8—111no—
342C2×C4×Q8—111no—
343C2×C4×D4C2×D1111yescharacteristic
344C2×C4×D4C2×D1111yescharacteristic
345C2×#117—111no—
346#452—118no—
347#440—224no—
348C2×#107—111no—
349C2×#106—111no—
350#416—224no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#102—111no—
357C2×#102—111no—
358C2×#102—111no—
359C2×C22⋊C8—111no—
360C2×#97—111no—
361C2×#97—111no—
362#391—111no—
363#391C2×D1111yescharacteristic
364#391C2×D1111yescharacteristic
365#389—111no—
366#388—221no—
367#388—221no—
368#387—221no—
369#386—21no—
370#386—21no—
371#381—21no—
372#380C2×D1111yescharacteristic
373C4×C4⋊C4—111no—
374C4×C4⋊C4—221no—
375C4×C22⋊C4C2×D1111yescharacteristic
376C2×#95—21no—
377#340—111no—
378#340—111no—
379#340—111no—
380#340—111no—
381#336—111no—
382#336—111no—
383C22×C11—22no—
384C22×C11—24no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—42no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—42no—
397C22×C11C2×C4×D411yescharacteristic
398C22×C11D4211yescharacteristic
399C22×C11#54611yescharacteristic
400C22×C11#57511yescharacteristic
401C22×C11#57511yescharacteristic
402C22×C11#57711yescharacteristic
403C22×C11#57811yescharacteristic
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—81no—
411C4×C11—81no—
412C4×C11C2×C4×D411yescharacteristic
413C4×C11#51811yescharacteristic
414C4×C11#54611yescharacteristic
415C4×C11#55111yescharacteristic
416Dic11—42no—
417Dic11—42no—
418Dic11—42no—
419Dic11—81no—
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41C4×D1114yes—
426C22×Q8—111no—
427C22×Q8C22×D1111yescharacteristic
428C22×D4—21no—
429C22×D4C22×D1111yescharacteristic
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4C22×D1111yescharacteristic
434C2×Q16—114no—
435C2×Q16—441no—
436C2×Q16—441no—
437C2×SD16—114no—
438C2×SD16—222no—
439C2×SD16—222no—
440C22×C8—111no—
441C22×C8—111no—
442C22×C8—111no—
443C22×C8—111no—
444C22×C8—222no—
445C22×C8—222no—
446C22×C8—441no—
447C22⋊Q8—114no—
448C22⋊Q8—222no—
449C4×Q8—222no—
450C4×Q8—441no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—41no—
455#117—222no—
456#117—441no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4C22⋊D1111yescharacteristic
471C2×C22⋊C4C22⋊D1111yescharacteristic
472C2×C42—221no—
473C2×C42—221no—
474C2×C42—221no—
475C2×C42C22×D1111yescharacteristic
476C2×C42C22×D1111yescharacteristic
477#107—222no—
478#106—441no—
479#103—114no—
480#103—222no—
481#103—222no—
482#103—222no—
483#103—441no—
484#102—114no—
485#102—114no—
486#102—222no—
487C22⋊C8—114no—
488#97—222no—
489#97—441no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—221no—
496#95—221no—
497#95—221no—
498#95—221no—
499#95C22⋊D1111yescharacteristic
500#95C22⋊D1111yescharacteristic
501C2×C11—42no—
502C2×C11—44no—
503C2×C11#235811yescharacteristic
504C2×C11#294311yescharacteristic
505C2×C11#294711yescharacteristic
506C2×C11#326711yescharacteristic
507C2×C11#326911yescharacteristic
508C2×C11#331111yescharacteristic
509C2×C11#331511yescharacteristic
510C24—21no—
511C24C2×C22⋊D1111yescharacteristic
512#41—28no—
513#41—44no—
514#41—44no—
515#41—44no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—112no—
522C2×Q8—221no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8C2×C4×D1112yes—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4C2×C4×D1112yes—
535C2×D4D4×D1112yes—
536C2×D4#434112yes—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—24no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—81no—
552C22×C4—81no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4C2×C4×D1112yes—
558C22×C4#433912yes—
559C22×C4C2×C22⋊D1111yescharacteristic
560C22×C4C2×C22⋊D1111yescharacteristic
561C22×C4C2×C22⋊D1111yescharacteristic
562C22×C4C2×C22⋊D1111yescharacteristic
563C22×C4C2×C22⋊D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565Q16—444no—
566SD16—228no—
567C2×C8—112no—
568C2×C8—112no—
569C2×C8—112no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8—221no—
577C2×C8—221no—
578C2×C8—221no—
579C2×C8—444no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—112no—
585C4⋊C4—112no—
586C4⋊C4—224no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—442no—
592C4⋊C4—442no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—81no—
598C22⋊C4—224no—
599C22⋊C4—442no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—442no—
605C42—442no—
606C42—442no—
607C11#2285611yescharacteristic, complemented, Sylow
608C23—22no—
609C23—22no—
610C23—21no—
611C23—22no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C4×C22⋊D1112yes—
622C23C22×C22⋊D1111yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—222no—
628Q8—222no—
629Q8—441no—
630Q8—441no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—48no—
635D4(C22⋊D11)⋊C414yes—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
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—48no—
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—84no—
665C2×C4—84no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4C4×C22⋊D1112yes—
679C2×C4C22×C4×D1111yescharacteristic
680C2×C4C2×#433911yescharacteristic
681C2×C4C2×D4×D1111yescharacteristic
682C2×C4C2×#434111yescharacteristic
683C2×C4#6703711yescharacteristic
684C2×C4#6703711yescharacteristic
685C8—222no—
686C8—222no—
687C8—222no—
688C8—441no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—24no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—41no—
697C22—41no—
698C22—42no—
699C22—41no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22C2×C4×C22⋊D1111yescharacteristic
704C22D4×C22⋊D1111yescharacteristic
705C22#1062333711yescharacteristic
706C22#1062335311yescharacteristic
707C22#1062335311yescharacteristic
708C22#1062336711yescharacteristic
709C22#1062336911yescharacteristic
710C4—22no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—42no—
716C4—81no—
717C4—81no—
718C4—442no—
719C4—442no—
720C4—442no—
721C4—881no—
722C4C2×(C22⋊D11)⋊C411yescharacteristic
723C4#1062301711yescharacteristic
724C4#1062302111yescharacteristic
725C4#1062302611yescharacteristic
726C2—42no—
727C2—44no—
728C2#1307159511yescharacteristic
729C2#1307741411yescharacteristic
730C2#1307745511yescharacteristic
731C2#1308013711yescharacteristic
732C2#1308016711yescharacteristic
733C2#1308065211yescharacteristic
734C2#1308071211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2339C2
socleC23×C11C22×D4
prime radicalC22×C11×#41C22
cosocleC22×C4×C11C24
hypercenter#2339D11
hypocenterC11#22856
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×#10622631C2semidirect
4. #13071641C2semidirect
5. #13069486C2semidirect
6. #13069309C2semidirect
7. #13069254C2semidirect
8. #13069037C2semidirect
9. #13068960C2semidirect
10. #13068950C2semidirect
11. #13068877C2semidirect
12. #13068813C2semidirect
13. #13068441C2semidirect
14. #13068394C2semidirect
33. #10622852C4semidirect
93. C2×#4326C2×C4semidirect
103. #66977C2×C4semidirect
128. #66899C2×C4semidirect
136. C22⋊(C11⋊C8)C2×C4semidirect
607. C11#22856semidirect

Maximal subgroups

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

subgroupindex
C2×#106228522
C2×#106226312
C2×#106228462
#130716412
#130694862
#130693092
#130692542
#130690372
#130689602
#130689502
#130688772
#130688132
#130684412
#130683942
C11×#23392
#2285611