Finite Group Databasebeta

← #14765101

Subgroups — #14765101

Order 2816.

1024 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622347C211yesmaximal, characteristic
2#13071309C211yesmaximal, characteristic, complemented
3#13071204C211yesmaximal, characteristic, complemented
4#13069497C211yesmaximal, characteristic, complemented
5#13069482C211yesmaximal, characteristic, complemented
6#13069313C211yesmaximal, characteristic, complemented
7#13069292C211yesmaximal, characteristic, complemented
8#13069258C211yesmaximal, characteristic, complemented
9#13069237C211yesmaximal, characteristic, complemented
10#13068963C211yesmaximal, characteristic, complemented
11#13068949C211yesmaximal, characteristic, complemented
12#13068931C211yesmaximal, characteristic, complemented
13#13068806C211yesmaximal, characteristic, complemented
14#13068557C211yesmaximal, characteristic, complemented
15C11×#1750C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C2×#66983C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×D88C2211yescharacteristic
21C22×#4314C2211yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C2×C11×C22⋊C8C2211yescharacteristic
24C2×C11×C22⋊C8C2211yescharacteristic
25C2×C11×#97C2211yescharacteristic
26C2×C4×C8×C11C2211yescharacteristic
27#10622825C2211yescharacteristic
28C2×#66885C2211yescharacteristic
29C2×#66885C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66882C2211yescharacteristic
34C2×#66882C2211yescharacteristic
35C2×#66880C2211yescharacteristic
36C2×#66880C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38#10622603—21no—
39#10622602—21no—
40#10622600—21no—
41#10622600—21no—
42#10622571—21no—
43#10622571—21no—
44#10622570—21no—
45#10622569—21no—
46#10622552C2211yescharacteristic
47#10622552C2211yescharacteristic
48#10622552C2211yescharacteristic
49C4×C4⋊Dic11C2211yescharacteristic
50#10622542C2211yescharacteristic
51#10622542C2211yescharacteristic
52#10622541C2211yescharacteristic
53#10622347C418yescomplemented
54C11×#336C2211yescharacteristic
55C11×#336C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C22×C22⋊D11—21no—
62C22×C22⋊D11—21no—
63C23×Dic11—21no—
64C2×#4339—22no—
65C2×#4339—41no—
66C2×#4339—41no—
67C2×#4339—41no—
68C2×#4339—41no—
69C2×#4339C2×C414yescomplemented
70C22×D44C2311yescharacteristic
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×Dic22C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C11×#117—41no—
80C11×#117—41no—
81C2×C11×C4⋊C4D411yescharacteristic
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C22⋊Dic11—21no—
88#66983—22no—
89#66983C2×C414yes—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—41no—
100C2×C4⋊Dic11—41no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×Dic11⋊C4—21no—
107C2×C4×Dic11—21no—
108C2×D88—41no—
109C2×D88—41no—
110C2×D88C2×C414yescomplemented
111C2×#4314—41no—
112C2×#4314—41no—
113C2×#4314C2×C414yescomplemented
114C4×D44—41no—
115C4×D44—41no—
116C11×C22⋊C8—22no—
117C11×C22⋊C8C2×C414yescomplemented
118C11×#97—41no—
119C4×C8×C11—41no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127#66885—41no—
128#66885—41no—
129#66885—41no—
130#66885—41no—
131#66885C2×C414yescomplemented
132#66882—41no—
133#66882—41no—
134#66880—41no—
135#66880—41no—
136#66880C2×C414yescomplemented
137#22055—111nomaximal, Sylow
138C24×C11C2×D411yescharacteristic
139C23×D11—21no—
140C23×D11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11C22×C412yes—
146C22×C4×C11C2×D411yescharacteristic
147C22×C4×C11C2×D411yescharacteristic
148C22×C4×C11C2×D411yescharacteristic
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11#4112yes—
152C22×C4×C11C2411yescharacteristic
153C2×C22⋊D11—24no—
154C2×C22⋊D11—24no—
155C2×C22⋊D11—42no—
156C2×C22⋊D11—42no—
157C2×C22⋊D11—81no—
158C2×C22⋊D11—81no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—42no—
166C22×Dic11—81no—
167C22×Dic11—81no—
168#4339—44no—
169#4339—44no—
170#4339—44no—
171#4339—44no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C2×D44C22×C412yes—
183C2×D44C22×C412yes—
184C2×C4×D11—24no—
185C2×C4×D11—42no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—81no—
189C2×C4×D11—81no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22—21no—
194C2×Dic22—21no—
195C2×Dic22C22×C412yes—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11C22×C412yes—
207C2×C8×C11C22×C412yes—
208C11×C4⋊C4—41no—
209C11×C4⋊C4—41no—
210C11×C22⋊C4—41no—
211C11×C22⋊C4—41no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—21no—
216C22⋊Dic11—81no—
217(C2×D11)⋊C4—24no—
218(C2×D11)⋊C4—42no—
219(C2×D11)⋊C4—81no—
220(C2×D11)⋊C4—81no—
221(C2×D11)⋊C4—81no—
222(C2×D11)⋊C4—81no—
223(C2×D11)⋊C4—81no—
224(C2×D11)⋊C4—81no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—21no—
230C4⋊Dic11—21no—
231C4⋊Dic11—21no—
232C4⋊Dic11—21no—
233C4⋊Dic11—21no—
234C4⋊Dic11—42no—
235C4⋊Dic11C22×C412yes—
236Dic11⋊C4—81no—
237C4×Dic11—81no—
238D88—44no—
239#4314—44no—
240C2×#449—111no—
241#2324—111no—
242#2311—111no—
243#1973—111no—
244#1970—111no—
245#1936—111no—
246#1933—111no—
247#1928—111no—
248#1925—111no—
249#1879—111no—
250#1877—111no—
251#1874—111no—
252#1852—111no—
253#1788—111no—
254#1750D1111yescharacteristic, complemented
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11C4×D412yes—
262C23×C11C22×D411yescharacteristic
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—41no—
274C22×D11—41no—
275C22×D11—41no—
276C22×D11—41no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
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—21no—
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×C11C4×D412yes—
296C2×C4×C11C23×C411yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C22⋊D11—48no—
303C22⋊D11—84no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—84no—
323D44—22no—
324D44—22no—
325D44—22no—
326D44—22no—
327D44—41no—
328D44—41no—
329D44—41no—
330D44—41no—
331C4×D11—48no—
332C4×D11—84no—
333Dic22—22no—
334Dic22—22no—
335Dic22—41no—
336Dic22—41no—
337C8×C11—22no—
338C8×C11—22no—
339C8×C11—41no—
340C8×C11—41no—
341C22×#41—111no—
342C22×SD16—111no—
343C22×D8—111no—
344C2×#121—111no—
345C2×C4×D4—111no—
346C2×#117C2×D1111yescharacteristic
347C22×C4⋊C4—111no—
348#449—118no—
349C2×#107—111no—
350C2×#107—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#102—111no—
357C2×#102—111no—
358C2×#102—111no—
359C2×C22⋊C8C2×D1111yescharacteristic
360C2×C22⋊C8C2×D1111yescharacteristic
361C2×#97C2×D1111yescharacteristic
362C2×C4×C8C2×D1111yescharacteristic
363#391—111no—
364#391—111no—
365#390—111no—
366#390—111no—
367#390—111no—
368#390—221no—
369#389—111no—
370#388—221no—
371#386—221no—
372#386—221no—
373#386—221no—
374#385—221no—
375#380—111no—
376#380—221no—
377#380—221no—
378C4×C4⋊C4—111no—
379#340—111no—
380#340—111no—
381#340—111no—
382#340—111no—
383#336C2×D1111yescharacteristic
384#336C2×D1111yescharacteristic
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11C2×C4×D411yescharacteristic
393C22×C11#53411yescharacteristic
394C22×C11#53511yescharacteristic
395C22×C11#57611yescharacteristic
396C22×C11#57611yescharacteristic
397C22×C11#57711yescharacteristic
398C22×C11#57811yescharacteristic
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—81no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11—81no—
410C2×D11—81no—
411C2×D11—81no—
412C2×D11—81no—
413C4×C11—22no—
414C4×C11—41no—
415C4×C11—41no—
416C4×C11—41no—
417C4×C11—41no—
418C4×C11#51811yescharacteristic
419C4×C11#51811yescharacteristic
420C4×C11#53811yescharacteristic
421C4×C11#53811yescharacteristic
422Dic11—42no—
423Dic11—42no—
424Dic11—81no—
425Dic11—81no—
426Dic11—81no—
427Dic11—81no—
428C2×#41—114no—
429C2×#41—222no—
430C2×#41—441no—
431C2×#41—441no—
432C2×#41—441no—
433C2×#41—441no—
434C22×Q8—111no—
435C22×D4—111no—
436C22×D4—111no—
437C22×D4—221no—
438C22×D4—221no—
439C23×C4—221no—
440C23×C4—221no—
441C23×C4—221no—
442C23×C4C22×D1111yescharacteristic
443C2×SD16—114no—
444C2×SD16—441no—
445C2×SD16—441no—
446C2×D8—114no—
447C2×D8—441no—
448C2×D8—441no—
449C22×C8C22×D1111yescharacteristic
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452C22×C8C22×D1111yescharacteristic
453#121—114no—
454#121—222no—
455C4×D4—441no—
456C4×D4—441no—
457#117—41no—
458#117—41no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—441no—
467C2×C4⋊C4—441no—
468C2×C4⋊C4D4411yescharacteristic
469C2×C4⋊C4D4411yescharacteristic
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C22⋊C4—221no—
476C2×C22⋊C4—221no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4D4411yescharacteristic
480C2×C22⋊C4D4411yescharacteristic
481C2×C42—221no—
482C2×C42C22×D1111yescharacteristic
483C2×C42C22×D1111yescharacteristic
484#107—441no—
485#107—441no—
486#103—114no—
487#103—441no—
488#103—441no—
489#102—114no—
490#102—441no—
491#102—441no—
492#102—441no—
493#102—441no—
494C22⋊C8—22no—
495C22⋊C8C4×D1114yescomplemented
496#97—41no—
497C4×C8—41no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502#95—221no—
503#95—221no—
504#95—221no—
505C2×C11—42no—
506C2×C11#232111yescharacteristic
507C2×C11#294611yescharacteristic
508C2×C11#295111yescharacteristic
509C2×C11#319811yescharacteristic
510C2×C11#320311yescharacteristic
511C2×C11#322011yescharacteristic
512C2×C11#322511yescharacteristic
513D11—82no—
514D11—82no—
515C24—221no—
516C24—221no—
517C24C2×D4411yescharacteristic
518#41—444no—
519#41—444no—
520#41—444no—
521#41—444no—
522C2×Q8—112no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×D4—112no—
529C2×D4—112no—
530C2×D4—224no—
531C2×D4—224no—
532C2×D4—221no—
533C2×D4—221no—
534C2×D4—221no—
535C2×D4—221no—
536C2×D4—221no—
537C2×D4—221no—
538C2×D4—221no—
539C2×D4—221no—
540C2×D4—221no—
541C2×D4—221no—
542C2×D4—442no—
543C2×D4—442no—
544C2×D4—881no—
545C2×D4—881no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—224no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—442no—
558C22×C4—442no—
559C22×C4—442no—
560C22×C4—442no—
561C22×C4—881no—
562C22×C4—881no—
563C22×C4—881no—
564C22×C4—881no—
565C22×C4C2×C4×D1112yes—
566C22×C4C2×D4411yescharacteristic
567C22×C4C2×D4411yescharacteristic
568C22×C4C2×D4411yescharacteristic
569C22×C4C2×D4411yescharacteristic
570C22×C4C2×D4411yescharacteristic
571C22×C4#433912yes—
572C22×C4C23×D1111yescharacteristic
573SD16—444no—
574D8—444no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8C2×C4×D1112yes—
586C2×C8C2×C4×D1112yes—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4—112no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—221no—
598C4⋊C4—221no—
599C4⋊C4—442no—
600C4⋊C4—881no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—224no—
604C22⋊C4—442no—
605C22⋊C4—881no—
606C22⋊C4—881no—
607C22⋊C4—881no—
608C22⋊C4—881no—
609C22⋊C4—881no—
610C22⋊C4—881no—
611C22⋊C4—881no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—881no—
617C11#2205511yescharacteristic, complemented, Sylow
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—222no—
625C23—222no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23—441no—
632C23—441no—
633C23—441no—
634C23—441no—
635C23—441no—
636C23—441no—
637C23—441no—
638C23C4×D4412yes—
639C23C22×D4411yescharacteristic
640Q8—222no—
641Q8—222no—
642Q8—441no—
643Q8—441no—
644D4—222no—
645D4—222no—
646D4—222no—
647D4—222no—
648D4—448no—
649D4—441no—
650D4—441no—
651D4—441no—
652D4—441no—
653D4—884no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—222no—
673C2×C4—222no—
674C2×C4—448no—
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×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—884no—
692C2×C4—884no—
693C2×C4C4×D4412yes—
694C2×C4C22×C4×D1111yescharacteristic
695C2×C4C2×#433911yescharacteristic
696C2×C4#6703711yescharacteristic
697C2×C4#6703711yescharacteristic
698C2×C4#6704211yescharacteristic
699C2×C4#6704211yescharacteristic
700C8—22no—
701C8—22no—
702C8—41no—
703C8—41no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—442no—
712C22—442no—
713C22—442no—
714C22—442no—
715C22—442no—
716C22—442no—
717C22—881no—
718C22—881no—
719C22—881no—
720C22—881no—
721C22—881no—
722C22—881no—
723C22—881no—
724C22—881no—
725C22C2×C4×D4411yescharacteristic
726C22#1062302411yescharacteristic
727C22#1062305611yescharacteristic
728C22#1062328211yescharacteristic
729C22#1062328311yescharacteristic
730C22#1062328311yescharacteristic
731C22#1062328411yescharacteristic
732C4—22no—
733C4—41no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—442no—
738C4—442no—
739C4—881no—
740C4—881no—
741C4—881no—
742C4—881no—
743C4#1062307611yescharacteristic
744C4#1062307611yescharacteristic
745C4#1062309111yescharacteristic
746C4#1062309111yescharacteristic
747C2—42no—
748C2—882no—
749C2—882no—
750C2#1307127611yescharacteristic
751C2#1307745011yescharacteristic
752C2#1307749311yescharacteristic
753C2#1307947011yescharacteristic
754C2#1307951811yescharacteristic
755C2#1307966811yescharacteristic
756C2#1307972711yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1750C2
socleC23×C11C22×D4
prime radicalC2×#10622347C2
cosocleC22×C4×C11C24
hypercenter#1750D11
hypocenterC11#22055
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
2. #13071309C2semidirect
3. #13071204C2semidirect
4. #13069497C2semidirect
5. #13069482C2semidirect
6. #13069313C2semidirect
7. #13069292C2semidirect
8. #13069258C2semidirect
9. #13069237C2semidirect
10. #13068963C2semidirect
11. #13068949C2semidirect
12. #13068931C2semidirect
13. #13068806C2semidirect
14. #13068557C2semidirect
15. C11×#1750C2semidirect
53. #10622347C4semidirect
69. C2×#4339C2×C4semidirect
110. C2×D88C2×C4semidirect
113. C2×#4314C2×C4semidirect
117. C11×C22⋊C8C2×C4semidirect
131. #66885C2×C4semidirect
136. #66880C2×C4semidirect
254. #1750D11semidirect
495. C22⋊C8C4×D11semidirect
617. C11#22055semidirect

Maximal subgroups

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

subgroupindex
C2×#106223472
#130713092
#130712042
#130694972
#130694822
#130693132
#130692922
#130692582
#130692372
#130689632
#130689492
#130689312
#130688062
#130685572
C11×#17502
#2205511