Finite Group Databasebeta

← C4×#10622747 #14760402

Subgroups — C4×#10622747 #14760402

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622747C211yesmaximal, characteristic
2C2×C4×#4314C211yesmaximal, characteristic, complemented
3C4×#66977C211yesmaximal, characteristic, complemented
4C4×#66983C211yesmaximal, characteristic
5#13069497C211yesmaximal, characteristic, complemented
6#13069354C211yesmaximal, characteristic, complemented
7#13069313C211yesmaximal, characteristic, complemented
8#13069306C211yesmaximal, characteristic, complemented
9#13069054C211yesmaximal, characteristic
10#13069049C211yesmaximal, characteristic, complemented
11#13068649C211yesmaximal, characteristic, complemented
12C4×#66882C211yesmaximal, characteristic, complemented
13C4×#66880C211yesmaximal, characteristic, complemented
14C4×#66885C211yesmaximal, characteristic, complemented
15C2×C4×C11×M16C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C22×C42×C11C2211yescharacteristic
19C2×#66983C2211yescharacteristic
20C2×C4×C22⋊D11—21no—
21C2×#66977C2211yescharacteristic
22C22×#4314C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C2×C4×Dic22C2211yescharacteristic
25C4×C11×M16—24no—
26C2×C11×#97C2211yescharacteristic
27C2×C11×#97C2211yescharacteristic
28C2×C4×C8×C11C2211yescharacteristic
29C2×C4×C8×C11C2211yescharacteristic
30#10622826—21no—
31#10622825C2211yescharacteristic
32#10622825C2211yescharacteristic
33#10622823—21no—
34C4×C22⋊Dic11—21no—
35#10622747C418yesdirect product factor
36C2×#66885C2211yescharacteristic
37C2×#66885C2211yescharacteristic
38C2×#66885C2211yescharacteristic
39C2×#66882C2211yescharacteristic
40C2×#66882C2211yescharacteristic
41C2×#66881C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43C2×#66880C2211yescharacteristic
44C2×#66880C2211yescharacteristic
45#10622553—21no—
46#10622552C2211yescharacteristic
47C4×(C2×D11)⋊C4—21no—
48C4×C4⋊Dic11C2211yescharacteristic
49C4×C4⋊Dic11C2211yescharacteristic
50#10622546—21no—
51C4×Dic11⋊C4—21no—
52#10622542C2211yescharacteristic
53#10622541C2211yescharacteristic
54#10622541C2211yescharacteristic
55C4×#4314—24no—
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C23×C4×C11D411yescharacteristic
63C23×C4×C11D411yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×Dic22C2311yescharacteristic
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C2×C11×M16—22no—
72C2×C11×M16—22no—
73C2×C11×M16—22no—
74C2×C11×M16C2×C414yescomplemented
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C2×C42×C11—22no—
80C2×C42×C11—22no—
81C2×C42×C11D411yescharacteristic
82C2×C42×C11D411yescharacteristic
83C2×C42×C11C2311yescharacteristic
84C2×C42×C11C2311yescharacteristic
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88#66983—22no—
89#66983C2×C414yes—
90C4×C22⋊D11—44no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101#66977—22no—
102#66977C2×C414yescomplemented
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C2×#4314—22no—
111C2×#4314—22no—
112C2×#4314C2×C414yescomplemented
113C4×D44—22no—
114C4×D44—22no—
115C4×Dic22—22no—
116C4×Dic22—22no—
117C11×#97—22no—
118C11×#97—22no—
119C4×C8×C11—22no—
120C4×C8×C11D414yescomplemented
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66885—22no—
130#66885—22no—
131#66885C2×C414yescomplemented
132#66882—22no—
133#66882C2×C414yescomplemented
134#66881—22no—
135#66880—22no—
136#66880—22no—
137#66880C2×C414yescomplemented
138C4×#468—111nomaximal, Sylow
139C24×C11C2×D411yescharacteristic
140C23×D11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—41no—
150C22×C4×C11—41no—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11#4112yes—
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—24no—
160C2×C22⋊D11—42no—
161C2×C22⋊D11—42no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44C22×C412yes—
175C2×C4×D11—42no—
176C2×C4×D11—42no—
177C2×C4×D11—42no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22C22×C412yes—
184C11×M16—28no—
185C11×M16—28no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11C22×C412yes—
193C2×C8×C11C22×C412yes—
194C2×C8×C11C2×D412yes—
195C2×C8×C11C2×D412yes—
196C2×C8×C11#4112yes—
197C2×C8×C11#4112yes—
198C42×C11—22no—
199C42×C11—22no—
200C42×C11—21no—
201C42×C11—21no—
202C42×C11C2×D412yes—
203C42×C11#4112yes—
204C22⋊Dic11—24no—
205C22⋊Dic11—42no—
206C22⋊Dic11—42no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—42no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11C22×C412yes—
222C4⋊Dic11C22×C412yes—
223Dic11⋊C4—24no—
224Dic11⋊C4—42no—
225Dic11⋊C4—42no—
226Dic11⋊C4—42no—
227C4×Dic11—42no—
228C4×Dic11—42no—
229C4×Dic11—42no—
230#4314—28no—
231C2×#468—111no—
232C2×C4×SD16—111no—
233C2×C4×M16D1111yescharacteristic, complemented
234C4×C22⋊Q8—111no—
235C4×#121—111no—
236#1973—111no—
237#1943—111no—
238#1936—111no—
239#1935—111no—
240#1895—111no—
241#1894—111no—
242#1809—111no—
243C4×#107—111no—
244C4×#103—111no—
245C4×#102—111no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11C4×D412yes—
253C23×C11C22×D411yescharacteristic
254C22×D11—22no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—44no—
276C2×C4×C11—44no—
277C2×C4×C11C4×D412yes—
278C2×C4×C11#12112yes—
279C2×C4×C11#12112yes—
280C2×C4×C11AGL(1,ℤ/8)12yes—
281C2×C4×C11#13712yes—
282C2×C4×C11C23×C411yescharacteristic
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C22⋊D11—48no—
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310D44—22no—
311D44—22no—
312D44—41no—
313D44—41no—
314C4×D11—84no—
315Dic22—22no—
316Dic22—22no—
317Dic22—41no—
318Dic22—41no—
319C8×C11—22no—
320C8×C11—22no—
321C8×C11—22no—
322C8×C11C4×D414yescomplemented
323C22×SD16—111no—
324C22×M16C2×D1111yescharacteristic
325C22×M16C2×D1111yescharacteristic
326C2×C22⋊Q8—111no—
327C2×#121—111no—
328C2×C4×Q8—111no—
329C2×C4×D4—111no—
330C2×C4×D4—221no—
331C22×C42C2×D1111yescharacteristic
332#468—118no—
333C4×SD16—224no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#106—111no—
337C2×#103—111no—
338C2×#103—111no—
339C2×#103—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C4×M16—24no—
344C2×#97C2×D1111yescharacteristic
345C2×#97C2×D1111yescharacteristic
346C2×C4×C8C2×D1111yescharacteristic
347C2×C4×C8C2×D1111yescharacteristic
348#391—111no—
349#390—111no—
350#389—111no—
351#389—111no—
352#388—221no—
353#387—221no—
354#386—221no—
355#385—221no—
356#380—111no—
357#380—111no—
358C4×C4⋊C4—111no—
359C4×C4⋊C4—111no—
360C4×C4⋊C4—221no—
361C4×C22⋊C4—221no—
362C4×C22⋊C4—221no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11C2×C4×D411yescharacteristic
377C22×C11C2×#12111yescharacteristic
378C22×C11#53211yescharacteristic
379C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C11C2×#13711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57511yescharacteristic
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—41no—
393C4×C11—41no—
394C4×C11#46814yescomplemented
395C4×C11C2×C4×D411yescharacteristic
396C4×C11C4×#4111yescharacteristic
397C4×C11#52511yescharacteristic
398C4×C11#52911yescharacteristic
399Dic11—42no—
400Dic11—42no—
401Dic11—42no—
402Dic11—81no—
403Dic11—81no—
404Dic11—81no—
405Dic11—81no—
406C22×Q8—111no—
407C22×D4—111no—
408C22×D4—221no—
409C23×C4—221no—
410C23×C4D4411yescharacteristic
411C23×C4D4411yescharacteristic
412C23×C4C22×D1111yescharacteristic
413C2×SD16—114no—
414C2×SD16—222no—
415C2×SD16—222no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16—22no—
420C2×M16—22no—
421C2×M16C4×D1114yescomplemented
422C22×C8C22×D1111yescharacteristic
423C22×C8C22×D1111yescharacteristic
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426C22⋊Q8—114no—
427C22⋊Q8—222no—
428#121—114no—
429#121—222no—
430C4×Q8—222no—
431C4×Q8—222no—
432C4×D4—222no—
433C4×D4—222no—
434C4×D4—444no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4—221no—
444C2×C4⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—221no—
455C2×C42—221no—
456C2×C42—221no—
457C2×C42D4411yescharacteristic
458C2×C42D4411yescharacteristic
459C2×C42C22×D1111yescharacteristic
460C2×C42C22×D1111yescharacteristic
461#107—114no—
462#107—222no—
463#106—222no—
464#103—114no—
465#103—222no—
466#103—222no—
467#102—114no—
468#102—222no—
469#102—222no—
470#97—22no—
471#97—22no—
472C4×C8—22no—
473C4×C8C22⋊D1114yescomplemented
474#95—221no—
475#95—221no—
476#95—221no—
477#95—221no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11—42no—
483C2×C11C4×#12111yescharacteristic
484C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
485C2×C11C4×#13711yescharacteristic
486C2×C11C2×#46811yescharacteristic
487C2×C11#305411yescharacteristic
488C2×C11#317111yescharacteristic
489C2×C11#317211yescharacteristic
490D11—82no—
491C24—221no—
492C24C2×D4411yescharacteristic
493C2×Q8—112no—
494C2×Q8—221no—
495C2×Q8—221no—
496C2×Q8—221no—
497C2×Q8—221no—
498C2×Q8—221no—
499C2×D4—112no—
500C2×D4—224no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—221no—
506C2×D4—442no—
507C2×D4—442no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—442no—
526C22×C4—442no—
527C22×C4—442no—
528C22×C4C2×C4×D1112yes—
529C22×C4C2×D4411yescharacteristic
530C22×C4C2×D4411yescharacteristic
531C22×C4C2×D4411yescharacteristic
532C22×C4C2×D4411yescharacteristic
533C22×C4C2×D4411yescharacteristic
534C22×C4#433912yes—
535C22×C4C23×D1111yescharacteristic
536SD16—228no—
537M16—28no—
538M16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8C2×C4×D1112yes—
546C2×C8C2×C4×D1112yes—
547C2×C8#433912yes—
548C2×C8#433912yes—
549C2×C8C2×C22⋊D1112yes—
550C2×C8C2×C22⋊D1112yes—
551C4⋊C4—112no—
552C4⋊C4—112no—
553C4⋊C4—224no—
554C4⋊C4—221no—
555C4⋊C4—221no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—442no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C22⋊C4—224no—
568C22⋊C4—224no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—442no—
579C42—442no—
580C42—442no—
581C42#433912yes—
582C42C2×C22⋊D1112yes—
583C11C4×#46811yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—222no—
591C23—441no—
592C23—441no—
593C23—441no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23C4×D4412yes—
598C23C22×D4411yescharacteristic
599Q8—222no—
600Q8—222no—
601Q8—441no—
602Q8—441no—
603D4—222no—
604D4—222no—
605D4—448no—
606D4—441no—
607D4—441no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—441no—
628C2×C4—441no—
629C2×C4—441no—
630C2×C4—441no—
631C2×C4—441no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—884no—
646C2×C4C4×D4412yes—
647C2×C4#6696112yes—
648C2×C4#6696212yes—
649C2×C4#6698312yes—
650C2×C4#6698312yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C2×#433911yescharacteristic
653C2×C4C2×#433911yescharacteristic
654C2×C4C2×#433911yescharacteristic
655C2×C4C2×#433911yescharacteristic
656C2×C4C22×C22⋊D1111yescharacteristic
657C8—22no—
658C8—22no—
659C8—22no—
660C8C4×C22⋊D1114yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—442no—
669C22—442no—
670C22—442no—
671C22—881no—
672C22—881no—
673C22—881no—
674C22—881no—
675C22C2×C4×D4411yescharacteristic
676C22#1062300811yescharacteristic
677C22C2×#6696111yescharacteristic
678C22C2×#6696211yescharacteristic
679C22#1062327911yescharacteristic
680C22#1062327911yescharacteristic
681C22C2×#6698311yescharacteristic
682C4—22no—
683C4—22no—
684C4—41no—
685C4—41no—
686C4—442no—
687C4—442no—
688C4—442no—
689C4—881no—
690C4—881no—
691C4—881no—
692C4—881no—
693C4#1062274714yesdirect product factor
694C4C4×#433911yescharacteristic
695C4#1062301011yescharacteristic
696C4C2×C4×C22⋊D1111yescharacteristic
697C4#1062332211yescharacteristic
698C2—42no—
699C2—882no—
700C2C4×#6698311yescharacteristic
701C2C4×#6696111yescharacteristic
702C2C4×#6696211yescharacteristic
703C2C2×#1062274711yescharacteristic
704C2#1307822511yescharacteristic
705C2#1307921111yescharacteristic
706C2#1307922211yescharacteristic
subgroupG/H
centerC22×C4C2×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C4×C11×M16C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
cosocleC22×C4×C11C24
hypercenterC2×C4×M16D11
hypocenterC11C4×#468
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×C4×M16

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4314C2semidirect
3. C4×#66977C2semidirect
5. #13069497C2semidirect
6. #13069354C2semidirect
7. #13069313C2semidirect
8. #13069306C2semidirect
10. #13069049C2semidirect
11. #13068649C2semidirect
12. C4×#66882C2semidirect
13. C4×#66880C2semidirect
14. C4×#66885C2semidirect
15. C2×C4×C11×M16C2semidirect
35. #10622747C4direct (N × H)
74. C2×C11×M16C2×C4semidirect
102. #66977C2×C4semidirect
112. C2×#4314C2×C4semidirect
120. C4×C8×C11D4semidirect
131. #66885C2×C4semidirect
133. #66882C2×C4semidirect
137. #66880C2×C4semidirect
233. C2×C4×M16D11semidirect
322. C8×C11C4×D4semidirect
394. C4×C11#468semidirect
421. C2×M16C4×D11semidirect
473. C4×C8C22⋊D11semidirect
583. C11C4×#468semidirect
660. C8C4×C22⋊D11semidirect
693. C4#10622747direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106227472
C2×C4×#43142
C4×#669772
C4×#669832
#130694972
#130693542
#130693132
#130693062
#130690542
#130690492
#130686492
C4×#668822
C4×#668802
C4×#668852
C2×C4×C11×M162
C4×#46811