Finite Group Databasebeta

← C11×#23856 #14601049

Subgroups — C11×#23856 #14601049

Order 2816.

1734 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C11×Q16C211yesmaximal, characteristic, complemented
2C2×D4×Q8×C11C211yesmaximal, characteristic
3C2×C11×#451C212yesmaximal, complemented
4C2×C11×#451C211yesmaximal, characteristic, complemented
5C11×#2409C211yesmaximal, characteristic
6C11×#2016C212yesmaximal, complemented
7C11×#2001C212yesmaximal, complemented
8C11×#1892C211yesmaximal, characteristic, complemented
9C11×#1878C212yesmaximal, complemented
10C11×#1869C211yesmaximal, characteristic
11C11×#1787C211yesmaximal, characteristic, complemented
12C23×Q8×C11C2211yescharacteristic
13C23×Q8×C11C2211yescharacteristic
14C23×Q8×C11C2211yescharacteristic
15C22×C11×Q16—24no—
16C22×C11×Q16—28no—
17C22×C11×Q16C2212yes—
18C22×C11×Q16C2212yes—
19C22×C11×Q16C2212yes—
20C23×C8×C11C2211yescharacteristic
21D4×Q8×C11—24no—
22D4×Q8×C11—24no—
23C2×C11×C4⋊Q8—21no—
24C2×C11×C4⋊Q8C2211yescharacteristic
25C2×C11×C22⋊Q8—21no—
26C2×C11×C22⋊Q8—21no—
27C2×C11×C22⋊Q8C2211yescharacteristic
28C2×C11×C22⋊Q8C2212yes—
29C2×C11×C22⋊Q8C2211yescharacteristic
30C2×C4×Q8×C11C2211yescharacteristic
31C2×C4×D4×C11—21no—
32C2×C4×D4×C11C2211yescharacteristic
33C11×#451—28no—
34C11×#451—24no—
35C2×C11×#103C2212yes—
36C2×C11×#103C2212yes—
37C2×C11×#103C2212yes—
38C2×C11×#103C2212yes—
39C2×C11×C22⋊C8C2212yes—
40C2×C11×C22⋊C8C2211yescharacteristic
41C11×#395—21no—
42C11×#393—21no—
43C11×#391C2212yes—
44C11×#386—21no—
45C11×#385—21no—
46C11×#380C2211yescharacteristic
47C11×#340C2212yes—
48C11×#336C2212yes—
49C22×Q8×C11—22no—
50C22×Q8×C11—22no—
51C22×Q8×C11—21no—
52C22×Q8×C11—21no—
53C22×Q8×C11—22no—
54C22×Q8×C11—21no—
55C22×Q8×C11—24no—
56C22×Q8×C11—24no—
57C22×Q8×C11—24no—
58C22×Q8×C11—22no—
59C22×Q8×C11—22no—
60C22×Q8×C11—42no—
61C22×Q8×C11—42no—
62C22×Q8×C11—42no—
63C22×Q8×C11D414yes—
64C22×Q8×C11C2312yes—
65C22×Q8×C11C2311yescharacteristic
66C22×Q8×C11C2311yescharacteristic
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11D411yescharacteristic
69C23×C4×C11—21no—
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C2×C11×Q16—232no—
75C2×C11×Q16—24no—
76C2×C11×Q16—24no—
77C2×C11×Q16—24no—
78C2×C11×Q16—24no—
79C2×C11×Q16—24no—
80C2×C11×Q16—24no—
81C2×C11×Q16—24no—
82C2×C11×Q16—42no—
83C2×C11×Q16D418yescomplemented
84C22×C8×C11—22no—
85C22×C8×C11—24no—
86C22×C8×C11C2312yes—
87C22×C8×C11C2312yes—
88C11×C4⋊Q8—28no—
89C11×C4⋊Q8—22no—
90C11×C4⋊Q8—22no—
91C11×C22⋊Q8—28no—
92C11×C22⋊Q8—28no—
93C11×C22⋊Q8—22no—
94C11×C22⋊Q8—22no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—24no—
97C11×C22⋊Q8—42no—
98C11×C22⋊Q8D414yes—
99C4×Q8×C11—22no—
100C4×Q8×C11—22no—
101C4×D4×C11—28no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C2×C11×C4⋊C4—21no—
105C2×C11×C4⋊C4—21no—
106C2×C11×C4⋊C4—21no—
107C2×C11×C4⋊C4—21no—
108C2×C11×C4⋊C4—21no—
109C2×C11×C4⋊C4—22no—
110C2×C11×C4⋊C4D411yescharacteristic
111C2×C11×C4⋊C4C2312yes—
112C2×C11×C4⋊C4C2311yescharacteristic
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—21no—
115C2×C11×C22⋊C4—21no—
116C2×C11×C22⋊C4—22no—
117C2×C11×C22⋊C4D411yescharacteristic
118C2×C11×C22⋊C4D411yescharacteristic
119C2×C42×C11—21no—
120C2×C42×C11C2311yescharacteristic
121C11×#103—24no—
122C11×#103—24no—
123C11×#103—24no—
124C11×#103—42no—
125C11×C22⋊C8—22no—
126C11×C22⋊C8—24no—
127C11×#95—21no—
128C11×#95—22no—
129C11×#95—22no—
130#23856C1111yesmaximal, characteristic, direct product factor, Sylow
131C24×C11C2×D411yescharacteristic
132C24×C11C2×D411yescharacteristic
133C2×Q8×C11—24no—
134C2×Q8×C11—24no—
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—22no—
139C2×Q8×C11—22no—
140C2×Q8×C11—28no—
141C2×Q8×C11—28no—
142C2×Q8×C11—22no—
143C2×Q8×C11—22no—
144C2×Q8×C11—22no—
145C2×Q8×C11—22no—
146C2×Q8×C11—22no—
147C2×Q8×C11—22no—
148C2×Q8×C11—22no—
149C2×Q8×C11—22no—
150C2×Q8×C11—44no—
151C2×Q8×C11—44no—
152C2×Q8×C11—44no—
153C2×Q8×C11—44no—
154C2×Q8×C11—48no—
155C2×Q8×C11—48no—
156C2×Q8×C11—44no—
157C2×Q8×C11—48no—
158C2×Q8×C11—44no—
159C2×Q8×C11—44no—
160C2×Q8×C11—42no—
161C2×Q8×C11C2×D412yes—
162C2×Q8×C11C2×D414yes—
163C2×Q8×C11C2×D412yes—
164C2×Q8×C11C2×D414yes—
165C2×Q8×C11C2×D412yes—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11Q1614yescomplemented
169C22×C4×C11—21no—
170C22×C4×C11—22no—
171C22×C4×C11—22no—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—22no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—44no—
184C22×C4×C11—44no—
185C22×C4×C11—44no—
186C22×C4×C11—42no—
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2411yescharacteristic
194C11×Q16—216no—
195C11×Q16—216no—
196C11×Q16—48no—
197C2×C8×C11—28no—
198C2×C8×C11—22no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C2×C8×C11—22no—
202C2×C8×C11—22no—
203C2×C8×C11C2×D414yes—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—24no—
207C11×C4⋊C4—24no—
208C11×C4⋊C4—24no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—44no—
214C11×C4⋊C4C2×D412yes—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—24no—
217C11×C22⋊C4—22no—
218C11×C22⋊C4—22no—
219C11×C22⋊C4—44no—
220C11×C22⋊C4—42no—
221C42×C11—24no—
222C42×C11—21no—
223C42×C11—21no—
224C23×Q16C2×C1111yescharacteristic, complemented
225C2×D4×Q8C2×C1111yescharacteristic
226C2×#451C2×C1112yescomplemented
227C2×#451C2×C1111yescharacteristic, complemented
228#2409C2×C1111yescharacteristic
229#2016C2×C1112yescomplemented
230#2001C2×C1112yescomplemented
231#1892C2×C1111yescharacteristic, complemented
232#1878C2×C1112yescomplemented
233#1869C2×C1111yescharacteristic
234#1787C2×C1111yescharacteristic, complemented
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—21no—
240C23×C11—22no—
241C23×C11#12012yes—
242C23×C11C2×Q1612yes—
243C23×C11C2×Q1612yescomplemented
244C23×C11#13712yes—
245C23×C11C22×D411yescharacteristic
246Q8×C11—22no—
247Q8×C11—24no—
248Q8×C11—22no—
249Q8×C11—24no—
250Q8×C11—22no—
251Q8×C11—24no—
252Q8×C11—24no—
253Q8×C11—48no—
254Q8×C11—48no—
255Q8×C11—48no—
256Q8×C11—41no—
257Q8×C11—41no—
258Q8×C11—42no—
259Q8×C11—42no—
260Q8×C11—42no—
261Q8×C11#12014yes—
262D4×C11—28no—
263C2×C4×C11—21no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—24no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—48no—
280C2×C4×C11—48no—
281C2×C4×C11—48no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—42no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11#12012yes—
294C2×C4×C11C2×Q1612yescomplemented
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D412yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11H(5,𝔽2)12yes—
299C8×C11—24no—
300C8×C11—42no—
301C23×Q8C22×C1111yescharacteristic
302C23×Q8C22×C1111yescharacteristic
303C23×Q8C22×C1111yescharacteristic
304C22×Q16—24no—
305C22×Q16—28no—
306C22×Q16C22×C1112yes—
307C22×Q16C22×C1112yes—
308C22×Q16C22×C1112yes—
309C23×C8C22×C1111yescharacteristic
310D4×Q8—24no—
311D4×Q8—24no—
312C2×C4⋊Q8—21no—
313C2×C4⋊Q8C22×C1111yescharacteristic
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8C22×C1111yescharacteristic
317C2×C22⋊Q8C22×C1112yes—
318C2×C22⋊Q8C22×C1111yescharacteristic
319C2×C4×Q8C22×C1111yescharacteristic
320C2×C4×D4—21no—
321C2×C4×D4C22×C1111yescharacteristic
322#451—28no—
323#451—24no—
324C2×#103C22×C1112yes—
325C2×#103C22×C1112yes—
326C2×#103C22×C1112yes—
327C2×#103C22×C1112yes—
328C2×C22⋊C8C22×C1112yes—
329C2×C22⋊C8C22×C1111yescharacteristic
330#395—21no—
331#393—21no—
332#391C22×C1112yes—
333#386—21no—
334#385—21no—
335#380C22×C1111yescharacteristic
336#340C22×C1112yes—
337#336C22×C1112yes—
338C22×C11—22no—
339C22×C11—22no—
340C22×C11—24no—
341C22×C11—24no—
342C22×C11—22no—
343C22×C11—24no—
344C22×C11—41no—
345C22×C11—41no—
346C22×C11—42no—
347C22×C11#45114yescomplemented
348C22×C11C2×#12011yescharacteristic
349C22×C11D4212yes—
350C22×C11C22×Q1611yescharacteristic
351C22×C11C2×#13711yescharacteristic
352C22×C11#57812yes—
353C4×C11—22no—
354C4×C11—24no—
355C4×C11—22no—
356C4×C11—41no—
357C4×C11—42no—
358C4×C11—42no—
359C4×C11—44no—
360C4×C11—41no—
361C4×C11—42no—
362C4×C11—82no—
363C4×C11C2×#12011yescharacteristic
364C4×C11#53411yescharacteristic
365C4×C11D4212yes—
366C22×Q8—22no—
367C22×Q8—22no—
368C22×Q8—21no—
369C22×Q8—21no—
370C22×Q8—22no—
371C22×Q8—21no—
372C22×Q8—24no—
373C22×Q8—24no—
374C22×Q8—24no—
375C22×Q8—22no—
376C22×Q8—22no—
377C22×Q8—42no—
378C22×Q8—42no—
379C22×Q8—42no—
380C22×Q8D4×C1114yes—
381C22×Q8C23×C1111yescharacteristic
382C22×Q8C23×C1111yescharacteristic
383C22×Q8C23×C1112yes—
384C22×Q8C23×C1111yescharacteristic
385C22×D4D4×C1111yescharacteristic
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4C23×C1111yescharacteristic
390C23×C4C23×C1111yescharacteristic
391C2×Q16—232no—
392C2×Q16—24no—
393C2×Q16—24no—
394C2×Q16—24no—
395C2×Q16—24no—
396C2×Q16—24no—
397C2×Q16—24no—
398C2×Q16—24no—
399C2×Q16—42no—
400C2×Q16D4×C1118yescomplemented
401C22×C8—22no—
402C22×C8—24no—
403C22×C8C23×C1112yes—
404C22×C8C23×C1112yes—
405C4⋊Q8—28no—
406C4⋊Q8—22no—
407C4⋊Q8—22no—
408C22⋊Q8—28no—
409C22⋊Q8—28no—
410C22⋊Q8—22no—
411C22⋊Q8—22no—
412C22⋊Q8—22no—
413C22⋊Q8—24no—
414C22⋊Q8—42no—
415C22⋊Q8D4×C1114yes—
416C4×Q8—22no—
417C4×Q8—22no—
418C4×D4—28no—
419C4×D4—22no—
420C4×D4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4D4×C1111yescharacteristic
428C2×C4⋊C4C23×C1112yes—
429C2×C4⋊C4C23×C1111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4D4×C1111yescharacteristic
435C2×C22⋊C4D4×C1111yescharacteristic
436C2×C42—21no—
437C2×C42C23×C1111yescharacteristic
438#103—24no—
439#103—24no—
440#103—24no—
441#103—42no—
442C22⋊C8—22no—
443C22⋊C8—24no—
444#95—21no—
445#95—22no—
446#95—22no—
447C2×C11—24no—
448C2×C11—42no—
449C2×C11#240311yescharacteristic
450C2×C11C2×#45111yescharacteristic
451C2×C11#301111yescharacteristic
452C2×C11#327012yes—
453C2×C11D4×Q1612yes—
454C24C2×D4×C1111yescharacteristic
455C24C2×D4×C1111yescharacteristic
456C2×Q8—24no—
457C2×Q8—24no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—28no—
464C2×Q8—28no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8—44no—
476C2×Q8—44no—
477C2×Q8—48no—
478C2×Q8—48no—
479C2×Q8—44no—
480C2×Q8—48no—
481C2×Q8—44no—
482C2×Q8—44no—
483C2×Q8—42no—
484C2×Q8C2×D4×C1112yes—
485C2×Q8C2×D4×C1114yes—
486C2×Q8C2×D4×C1112yes—
487C2×Q8C2×D4×C1114yes—
488C2×Q8C2×D4×C1112yes—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4C11×Q1614yescomplemented
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4C2×D4×C1111yescharacteristic
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C2×D4×C1111yescharacteristic
513C22×C4C2×D4×C1112yes—
514C22×C4C2×D4×C1112yes—
515C22×C4C2×D4×C1111yescharacteristic
516C22×C4C24×C1111yescharacteristic
517Q16—216no—
518Q16—216no—
519Q16—48no—
520C2×C8—28no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8C2×D4×C1114yes—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—44no—
537C4⋊C4C2×D4×C1112yes—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—44no—
543C22⋊C4—42no—
544C42—24no—
545C42—21no—
546C42—21no—
547C11#2385611yescharacteristic, direct product factor, Sylow
548C23—22no—
549C23—22no—
550C23—21no—
551C23—22no—
552C23—21no—
553C23—22no—
554C23C11×#12012yes—
555C23C2×C11×Q1612yes—
556C23C2×C11×Q1612yescomplemented
557C23C11×#13712yes—
558C23C22×D4×C1111yescharacteristic
559Q8—22no—
560Q8—24no—
561Q8—22no—
562Q8—24no—
563Q8—22no—
564Q8—24no—
565Q8—24no—
566Q8—48no—
567Q8—48no—
568Q8—48no—
569Q8—41no—
570Q8—41no—
571Q8—42no—
572Q8—42no—
573Q8—42no—
574Q8C11×#12014yes—
575D4—28no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—48no—
593C2×C4—48no—
594C2×C4—48no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4C11×#12012yes—
607C2×C4C2×C11×Q1612yescomplemented
608C2×C4C22×D4×C1111yescharacteristic
609C2×C4C22×D4×C1112yes—
610C2×C4C22×D4×C1111yescharacteristic
611C2×C4C11×H(5,𝔽2)12yes—
612C8—24no—
613C8—42no—
614C22—22no—
615C22—22no—
616C22—24no—
617C22—24no—
618C22—22no—
619C22—24no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22C11×#45114yescomplemented
624C22C2×C11×#12011yescharacteristic
625C22D42×C1112yes—
626C22C22×C11×Q1611yescharacteristic
627C22C2×C11×#13711yescharacteristic
628C22C11×#57812yes—
629C4—22no—
630C4—24no—
631C4—22no—
632C4—41no—
633C4—42no—
634C4—42no—
635C4—44no—
636C4—41no—
637C4—42no—
638C4—82no—
639C4C2×C11×#12011yescharacteristic
640C4C11×#53411yescharacteristic
641C4D42×C1112yes—
642C2—24no—
643C2—42no—
644C2C11×#240311yescharacteristic
645C2C2×C11×#45111yescharacteristic
646C2C11×#301111yescharacteristic
647C2C11×#327012yes—
648C2D4×C11×Q1612yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×C11×Q16C2semidirect
3. C2×C11×#451C2semidirect
4. C2×C11×#451C2semidirect
6. C11×#2016C2semidirect
7. C11×#2001C2semidirect
8. C11×#1892C2semidirect
9. C11×#1878C2semidirect
11. C11×#1787C2semidirect
83. C2×C11×Q16D4semidirect
130. #23856C11direct (N × H)
168. C2×D4×C11Q16semidirect
224. C23×Q16C2×C11semidirect
226. C2×#451C2×C11semidirect
227. C2×#451C2×C11semidirect
229. #2016C2×C11semidirect
230. #2001C2×C11semidirect
231. #1892C2×C11semidirect
232. #1878C2×C11semidirect
234. #1787C2×C11semidirect
243. C23×C11C2×Q16semidirect
294. C2×C4×C11C2×Q16semidirect
347. C22×C11#451semidirect
400. C2×Q16D4×C11semidirect
491. C2×D4C11×Q16semidirect
547. C11#23856direct (N × H)
556. C23C2×C11×Q16semidirect
607. C2×C4C2×C11×Q16semidirect
623. C22C11×#451semidirect

Maximal subgroups

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

subgroupindex
C23×C11×Q162
C2×D4×Q8×C112
C2×C11×#4512
C11×#24092
C11×#20162
C11×#20012
C11×#18922
C11×#18782
C11×#18692
C11×#17872
#2385611