Finite Group Databasebeta

← C11×#23495 #14600688

Subgroups — C11×#23495 #14600688

Order 2816.

1422 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3449C211yesmaximal, characteristic
2C2×C11×#428C211yesmaximal, characteristic, complemented
3C2×C11×#421C211yesmaximal, characteristic, complemented
4C2×C11×#417C211yesmaximal, characteristic, complemented
5C2×C11×#413C211yesmaximal, characteristic, complemented
6C11×#2311C211yesmaximal, characteristic, complemented
7C11×#2038C214yesmaximal, complemented
8C11×#2037C214yesmaximal, complemented
9C11×#1733C211yesmaximal, characteristic, complemented
10C22×C11×#41C2211yescharacteristic
11C22×C11×#41C2211yescharacteristic
12C22×C11×M16C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C11×#537—21no—
15C11×#537—21no—
16C11×#536—21no—
17C11×#536C2212yes—
18C11×#535—21no—
19C11×#535C2212yes—
20C11×#534—22no—
21C11×#532—22no—
22C11×#525—22no—
23C11×#525—22no—
24C2×C11×#117C2211yescharacteristic
25C2×C11×#117C2211yescharacteristic
26C22×C11×C4⋊C4C2211yescharacteristic
27C11×#428—22no—
28C11×#428C2214yescomplemented
29C2×C11×#107—21no—
30C2×C11×#106—21no—
31C11×#421—24no—
32C2×C11×#104C2214yes—
33C11×#417—22no—
34C11×#417C2214yes—
35C2×C11×#103—21no—
36C2×C11×#102—21no—
37C11×#413—24no—
38C2×C11×#101C2212yescomplemented
39C2×C11×#100C2212yescomplemented
40C11×#391C2212yescomplemented
41C11×#390C2212yescomplemented
42C11×#386—22no—
43C11×#380—22no—
44C11×#339C2214yescomplemented
45C2×C11×#41—21no—
46C2×C11×#41—21no—
47C2×C11×#41—21no—
48C2×C11×#41—21no—
49C2×C11×#41—21no—
50C2×C11×#41—21no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—22no—
54C2×C11×#41—22no—
55C2×C11×#41—22no—
56C2×C11×#41—22no—
57C2×C11×#41—22no—
58C2×C11×#41—22no—
59C2×C11×#41D412yes—
60C2×C11×#41C2312yes—
61C22×Q8×C11D411yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11D412yes—
65C22×D4×C11D411yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11D412yes—
70C23×C4×C11C2311yescharacteristic
71C2×C11×M16—21no—
72C2×C11×M16—22no—
73C2×C11×M16—21no—
74C2×C11×M16—22no—
75C2×C11×M16—22no—
76C2×C11×M16D414yescomplemented
77C2×C11×M16C2312yes—
78C2×C11×M16C2312yes—
79C22×C8×C11—21no—
80C22×C8×C11—21no—
81C11×C4⋊Q8—22no—
82C11×#127—22no—
83C11×#124—22no—
84C11×#124—22no—
85C11×#123—24no—
86C11×#123—24no—
87C11×C22⋊Q8—22no—
88C11×C22⋊Q8—22no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—22no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—24no—
94C11×#121—24no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#120—24no—
98C11×#120—24no—
99C4×D4×C11—24no—
100C4×D4×C11—24no—
101C11×#117—21no—
102C11×#117—21no—
103C11×#117—22no—
104C11×#117—22no—
105C11×#117D412yes—
106C11×#117C2312yes—
107C2×C11×C4⋊C4—21no—
108C2×C11×C4⋊C4—21no—
109C2×C11×C4⋊C4—21no—
110C2×C11×C4⋊C4—21no—
111C2×C11×C4⋊C4—21no—
112C2×C11×C4⋊C4—21no—
113C2×C11×C4⋊C4D411yescharacteristic
114C2×C11×C4⋊C4D411yescharacteristic
115C2×C11×C4⋊C4C2312yes—
116C2×C11×C22⋊C4—21no—
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—24no—
119C2×C42×C11—21no—
120C2×C42×C11C2312yes—
121C11×#107—24no—
122C11×#106—24no—
123C11×#104—28no—
124C11×#103—24no—
125C11×#102—24no—
126C11×#101—24no—
127C11×#100—24no—
128C11×#95—24no—
129#23495C1111yesmaximal, characteristic, direct product factor, Sylow
130C24×C11—21no—
131C24×C11C2×D412yes—
132C24×C11C2×D411yescharacteristic
133C11×#41—24no—
134C11×#41—24no—
135C11×#41—22no—
136C11×#41—22no—
137C11×#41—22no—
138C11×#41—22no—
139C11×#41—42no—
140C11×#41—42no—
141C11×#41—42no—
142C11×#41—42no—
143C11×#41—42no—
144C11×#41—42no—
145C11×#41—42no—
146C11×#41—42no—
147C11×#41—42no—
148C11×#41—42no—
149C11×#41—42no—
150C11×#41—42no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—22no—
159C2×Q8×C11—22no—
160C2×Q8×C11C2×D412yes—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—24no—
165C2×D4×C11—24no—
166C2×D4×C11—22no—
167C2×D4×C11—24no—
168C2×D4×C11—24no—
169C2×D4×C11—21no—
170C2×D4×C11—22no—
171C2×D4×C11—22no—
172C2×D4×C11—21no—
173C2×D4×C11—21no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—21no—
177C2×D4×C11—21no—
178C2×D4×C11—42no—
179C2×D4×C11—42no—
180C2×D4×C11C2×D412yes—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—24no—
188C22×C4×C11—24no—
189C22×C4×C11—22no—
190C22×C4×C11—22no—
191C22×C4×C11—22no—
192C22×C4×C11—42no—
193C22×C4×C11—42no—
194C22×C4×C11—41no—
195C22×C4×C11—41no—
196C22×C4×C11—82no—
197C22×C4×C11C2×D412yes—
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D412yes—
204C22×C4×C11#4112yes—
205C22×C4×C11#4112yes—
206C22×C4×C11#4112yes—
207C22×C4×C11C2411yescharacteristic
208C11×M16—24no—
209C11×M16—22no—
210C11×M16—22no—
211C11×M16—22no—
212C11×M16—42no—
213C11×M16C2×D414yes—
214C2×C8×C11—24no—
215C2×C8×C11—22no—
216C2×C8×C11—22no—
217C2×C8×C11—42no—
218C11×C4⋊C4—24no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—41no—
225C11×C4⋊C4—41no—
226C11×C4⋊C4—42no—
227C11×C4⋊C4C2×D412yes—
228C11×C4⋊C4C2×D412yes—
229C11×C22⋊C4—24no—
230C11×C22⋊C4—24no—
231C11×C22⋊C4—24no—
232C11×C22⋊C4—24no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—84no—
237C42×C11—22no—
238C42×C11—22no—
239C42×C11—22no—
240C42×C11—22no—
241#3449C2×C1111yescharacteristic
242C2×#428C2×C1111yescharacteristic, complemented
243C2×#421C2×C1111yescharacteristic, complemented
244C2×#417C2×C1111yescharacteristic, complemented
245C2×#413C2×C1111yescharacteristic, complemented
246#2311C2×C1111yescharacteristic, complemented
247#2038C2×C1114yescomplemented
248#2037C2×C1114yescomplemented
249#1733C2×C1111yescharacteristic, complemented
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—22no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—42no—
257C23×C11—42no—
258C23×C11—42no—
259C23×C11—81no—
260C23×C11—81no—
261C23×C11#12011yescharacteristic
262C23×C11#12011yescharacteristic
263C23×C11#12112yes—
264C23×C11#12312yes—
265C23×C11C22×D411yescharacteristic
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—41no—
269Q8×C11—41no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—42no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—42no—
276D4×C11—42no—
277D4×C11—44no—
278D4×C11—44no—
279D4×C11—44no—
280D4×C11—41no—
281D4×C11—41no—
282D4×C11—41no—
283D4×C11—41no—
284D4×C11—42no—
285D4×C11—84no—
286D4×C11—84no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—44no—
297C2×C4×C11—44no—
298C2×C4×C11—44no—
299C2×C4×C11—42no—
300C2×C4×C11—44no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—81no—
305C2×C4×C11—81no—
306C2×C4×C11—82no—
307C2×C4×C11—82no—
308C2×C4×C11#12011yescharacteristic
309C2×C4×C11#12011yescharacteristic
310C2×C4×C11#12112yes—
311C2×C4×C11#12112yes—
312C2×C4×C11#12112yes—
313C2×C4×C11#12112yes—
314C2×C4×C11#12112yes—
315C2×C4×C11#12312yes—
316C2×C4×C11#12312yes—
317C2×C4×C11#12312yes—
318C2×C4×C11#12412yes—
319C2×C4×C11#12412yes—
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C22×D411yescharacteristic
323C2×C4×C11C2×#4111yescharacteristic
324C2×C4×C11C2×#4111yescharacteristic
325C2×C4×C11C2×#4111yescharacteristic
326C8×C11—24no—
327C8×C11—42no—
328C22×#41C22×C1111yescharacteristic
329C22×#41C22×C1111yescharacteristic
330C22×M16C22×C1111yescharacteristic
331C22×M16C22×C1111yescharacteristic
332#537—21no—
333#537—21no—
334#536—21no—
335#536C22×C1112yes—
336#535—21no—
337#535C22×C1112yes—
338#534—22no—
339#532—22no—
340#525—22no—
341#525—22no—
342C2×#117C22×C1111yescharacteristic
343C2×#117C22×C1111yescharacteristic
344C22×C4⋊C4C22×C1111yescharacteristic
345#428—22no—
346#428C22×C1114yescomplemented
347C2×#107—21no—
348C2×#106—21no—
349#421—24no—
350C2×#104C22×C1114yes—
351#417—22no—
352#417C22×C1114yes—
353C2×#103—21no—
354C2×#102—21no—
355#413—24no—
356C2×#101C22×C1112yescomplemented
357C2×#100C22×C1112yescomplemented
358#391C22×C1112yescomplemented
359#390C22×C1112yescomplemented
360#386—22no—
361#380—22no—
362#339C22×C1114yescomplemented
363C22×C11—21no—
364C22×C11—21no—
365C22×C11—21no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—44no—
372C22×C11—42no—
373C22×C11—42no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—82no—
379C22×C11—84no—
380C22×C11#39412yes—
381C22×C11#39412yes—
382C22×C11C2×#12011yescharacteristic
383C22×C11C2×#12111yescharacteristic
384C22×C11C2×#12311yescharacteristic
385C4×C11—42no—
386C4×C11—42no—
387C4×C11—42no—
388C4×C11—42no—
389C4×C11—82no—
390C4×C11—82no—
391C4×C11#39412yes—
392C4×C11#39412yes—
393C4×C11C2×#12111yescharacteristic
394C4×C11C2×#12111yescharacteristic
395C4×C11C2×#12311yescharacteristic
396C4×C11C2×#12411yescharacteristic
397C2×#41—21no—
398C2×#41—21no—
399C2×#41—21no—
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—21no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41D4×C1112yes—
412C2×#41C23×C1112yes—
413C22×Q8D4×C1111yescharacteristic
414C22×Q8C23×C1111yescharacteristic
415C22×D4—21no—
416C22×D4D4×C1112yes—
417C22×D4D4×C1111yescharacteristic
418C22×D4C23×C1111yescharacteristic
419C23×C4—21no—
420C23×C4—21no—
421C23×C4D4×C1112yes—
422C23×C4C23×C1111yescharacteristic
423C2×M16—21no—
424C2×M16—22no—
425C2×M16—21no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16D4×C1114yescomplemented
429C2×M16C23×C1112yes—
430C2×M16C23×C1112yes—
431C22×C8—21no—
432C22×C8—21no—
433C4⋊Q8—22no—
434#127—22no—
435#124—22no—
436#124—22no—
437#123—24no—
438#123—24no—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441C22⋊Q8—22no—
442C22⋊Q8—22no—
443#121—22no—
444#121—22no—
445#121—24no—
446#121—24no—
447#121—22no—
448#121—22no—
449#120—24no—
450#120—24no—
451C4×D4—24no—
452C4×D4—24no—
453#117—21no—
454#117—21no—
455#117—22no—
456#117—22no—
457#117D4×C1112yes—
458#117C23×C1112yes—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4D4×C1111yescharacteristic
466C2×C4⋊C4D4×C1111yescharacteristic
467C2×C4⋊C4C23×C1112yes—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—24no—
471C2×C42—21no—
472C2×C42C23×C1112yes—
473#107—24no—
474#106—24no—
475#104—28no—
476#103—24no—
477#102—24no—
478#101—24no—
479#100—24no—
480#95—24no—
481C2×C11—21no—
482C2×C11—21no—
483C2×C11—22no—
484C2×C11—22no—
485C2×C11—82no—
486C2×C11—82no—
487C2×C11C2×#39411yescharacteristic
488C2×C11#302111yescharacteristic
489C2×C11#302211yescharacteristic
490C24—21no—
491C24C2×D4×C1112yes—
492C24C2×D4×C1111yescharacteristic
493#41—24no—
494#41—24no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—42no—
500#41—42no—
501#41—42no—
502#41—42no—
503#41—42no—
504#41—42no—
505#41—42no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—42no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8C2×D4×C1112yes—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—24no—
525C2×D4—24no—
526C2×D4—22no—
527C2×D4—24no—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4C2×D4×C1112yes—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—24no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—41no—
555C22×C4—41no—
556C22×C4—82no—
557C22×C4C2×D4×C1112yes—
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1111yescharacteristic
560C22×C4C2×D4×C1111yescharacteristic
561C22×C4C2×D4×C1111yescharacteristic
562C22×C4C2×D4×C1111yescharacteristic
563C22×C4C2×D4×C1112yes—
564C22×C4C11×#4112yes—
565C22×C4C11×#4112yes—
566C22×C4C11×#4112yes—
567C22×C4C24×C1111yescharacteristic
568M16—24no—
569M16—22no—
570M16—22no—
571M16—22no—
572M16—42no—
573M16C2×D4×C1114yes—
574C2×C8—24no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—42no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—41no—
585C4⋊C4—41no—
586C4⋊C4—42no—
587C4⋊C4C2×D4×C1112yes—
588C4⋊C4C2×D4×C1112yes—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—42no—
596C22⋊C4—84no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C11#2349511yescharacteristic, direct product factor, Sylow
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23C11×#12011yescharacteristic
614C23C11×#12011yescharacteristic
615C23C11×#12112yes—
616C23C11×#12312yes—
617C23C22×D4×C1111yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—42no—
625D4—22no—
626D4—22no—
627D4—42no—
628D4—42no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—42no—
637D4—84no—
638D4—84no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4C11×#12011yescharacteristic
661C2×C4C11×#12011yescharacteristic
662C2×C4C11×#12112yes—
663C2×C4C11×#12112yes—
664C2×C4C11×#12112yes—
665C2×C4C11×#12112yes—
666C2×C4C11×#12112yes—
667C2×C4C11×#12312yes—
668C2×C4C11×#12312yes—
669C2×C4C11×#12312yes—
670C2×C4C11×#12412yes—
671C2×C4C11×#12412yes—
672C2×C4C22×D4×C1111yescharacteristic
673C2×C4C22×D4×C1111yescharacteristic
674C2×C4C22×D4×C1111yescharacteristic
675C2×C4C2×C11×#4111yescharacteristic
676C2×C4C2×C11×#4111yescharacteristic
677C2×C4C2×C11×#4111yescharacteristic
678C8—24no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—82no—
696C22—84no—
697C22C11×#39412yes—
698C22C11×#39412yes—
699C22C2×C11×#12011yescharacteristic
700C22C2×C11×#12111yescharacteristic
701C22C2×C11×#12311yescharacteristic
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—82no—
707C4—82no—
708C4C11×#39412yes—
709C4C11×#39412yes—
710C4C2×C11×#12111yescharacteristic
711C4C2×C11×#12111yescharacteristic
712C4C2×C11×#12311yescharacteristic
713C4C2×C11×#12411yescharacteristic
714C2—21no—
715C2—21no—
716C2—22no—
717C2—22no—
718C2—82no—
719C2—82no—
720C2C2×C11×#39411yescharacteristic
721C2C11×#302111yescharacteristic
722C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3449C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#428C2semidirect
3. C2×C11×#421C2semidirect
4. C2×C11×#417C2semidirect
5. C2×C11×#413C2semidirect
6. C11×#2311C2semidirect
7. C11×#2038C2semidirect
8. C11×#2037C2semidirect
9. C11×#1733C2semidirect
28. C11×#428C22semidirect
38. C2×C11×#101C22semidirect
39. C2×C11×#100C22semidirect
40. C11×#391C22semidirect
41. C11×#390C22semidirect
44. C11×#339C22semidirect
76. C2×C11×M16D4semidirect
129. #23495C11direct (N × H)
242. C2×#428C2×C11semidirect
243. C2×#421C2×C11semidirect
244. C2×#417C2×C11semidirect
245. C2×#413C2×C11semidirect
246. #2311C2×C11semidirect
247. #2038C2×C11semidirect
248. #2037C2×C11semidirect
249. #1733C2×C11semidirect
346. #428C22×C11semidirect
356. C2×#101C22×C11semidirect
357. C2×#100C22×C11semidirect
358. #391C22×C11semidirect
359. #390C22×C11semidirect
362. #339C22×C11semidirect
428. C2×M16D4×C11semidirect
601. C11#23495direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34492
C2×C11×#4282
C2×C11×#4212
C2×C11×#4172
C2×C11×#4132
C11×#23112
C11×#20382
C11×#20372
C11×#17332
#2349511