Finite Group Databasebeta

← #14660726

Subgroups — #14660726

Order 2816.

1326 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66885C211yesmaximal, characteristic
2C22×#66873C211yesmaximal, characteristic
3C2×#10622601C211yesmaximal, characteristic
4C2×#10622589C211yesmaximal, characteristic, complemented
5C2×#10622167C211yesmaximal, characteristic, complemented
6C2×#10622188C211yesmaximal, characteristic, complemented
7C2×C11×#340C211yesmaximal, characteristic, complemented
8C23×D44C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4C2211yescharacteristic
11C22×C11×C4⋊C4C2211yescharacteristic
12C22×(C2×D11)⋊C4—22no—
13C22×C4⋊Dic11C2211yescharacteristic
14C22×Dic11⋊C4—22no—
15C22×C4×Dic11C2211yescharacteristic
16C23×C11⋊C8C2211yescharacteristic
17C2×#66885—22no—
18C2×#66885—22no—
19C2×#66885—22no—
20#10622601—22no—
21#10622601C414yescomplemented
22#10622589—22no—
23#10622589—22no—
24C2×#66873—22no—
25C2×#66873—22no—
26C2×#66873—22no—
27C11×#340—22no—
28#10622188—22no—
29#10622167—22no—
30C24×D11—21no—
31C23×C4×C11—21no—
32C23×C4×C11—21no—
33C23×C4×C11C2311yescharacteristic
34C23×Dic11—21no—
35C23×Dic11D412yes—
36C22×D44—21no—
37C22×D44—21no—
38C22×D44—21no—
39C22×D44—21no—
40C22×D44—21no—
41C22×D44—21no—
42C22×D44—21no—
43C22×D44—21no—
44C22×D44—21no—
45C22×D44—21no—
46C22×D44—21no—
47C22×D44C2×C412yes—
48C22×D44D412yes—
49C22×D44Q812yes—
50C22×C8×C11—21no—
51C22×C8×C11—21no—
52C22×C8×C11—21no—
53C22×C8×C11—21no—
54C22×C8×C11—21no—
55C22×C8×C11—21no—
56C22×C8×C11D412yes—
57C2×C11×C4⋊C4—21no—
58C2×C11×C4⋊C4—21no—
59C2×C11×C4⋊C4—21no—
60C2×C11×C4⋊C4—21no—
61C2×C11×C4⋊C4—21no—
62C2×C11×C4⋊C4—21no—
63C2×C11×C4⋊C4—21no—
64C2×C11×C4⋊C4—21no—
65C2×C11×C4⋊C4—21no—
66C2×C11×C4⋊C4—21no—
67C2×C11×C4⋊C4C2×C412yes—
68C2×C11×C4⋊C4D412yes—
69C2×(C2×D11)⋊C4—28no—
70C2×(C2×D11)⋊C4—44no—
71C2×(C2×D11)⋊C4—44no—
72C2×C4⋊Dic11—21no—
73C2×C4⋊Dic11—21no—
74C2×C4⋊Dic11—21no—
75C2×C4⋊Dic11—21no—
76C2×C4⋊Dic11—21no—
77C2×C4⋊Dic11D412yes—
78C2×Dic11⋊C4—28no—
79C2×Dic11⋊C4—44no—
80C2×Dic11⋊C4—44no—
81C2×C4×Dic11—21no—
82C2×C4×Dic11—21no—
83C2×C4×Dic11—21no—
84C2×C4×Dic11—21no—
85C2×C4×Dic11C2×C412yes—
86C2×C4×Dic11D412yes—
87C22×C11⋊C8—21no—
88C22×C11⋊C8—21no—
89C22×C11⋊C8—21no—
90C22×C11⋊C8—21no—
91C22×C11⋊C8—21no—
92C22×C11⋊C8—21no—
93C22×C11⋊C8D412yes—
94#66885—28no—
95#66873—28no—
96#11049—111nomaximal, Sylow
97C24×C11C2×D411yescharacteristic
98C23×D11—22no—
99C23×D11—22no—
100C23×D11—22no—
101C23×D11—41no—
102C23×D11—41no—
103C23×D11—41no—
104C23×D11—41no—
105C23×D11—42no—
106C23×D11—42no—
107C23×D11—42no—
108C23×D11—42no—
109C22×C4×C11—22no—
110C22×C4×C11—22no—
111C22×C4×C11—41no—
112C22×C4×C11—41no—
113C22×C4×C11—41no—
114C22×C4×C11—41no—
115C22×C4×C11—42no—
116C22×C4×C11—42no—
117C22×C4×C11—42no—
118C22×C4×C11—42no—
119C22×C4×C11C22×C411yescharacteristic
120C22×C4×C11C2×D411yescharacteristic
121C22×C4×C11C2×D411yescharacteristic
122C22×C4×C11C2×D411yescharacteristic
123C22×C4×C11C2×D411yescharacteristic
124C22×C4×C11C2×D411yescharacteristic
125C22×C4×C11C2×D411yescharacteristic
126C22×C4×C11C2×Q811yescharacteristic
127C22×C4×C11#4111yescharacteristic
128C22×C4×C11#4111yescharacteristic
129C22×C4×C11#4111yescharacteristic
130C22×C4×C11#4111yescharacteristic
131C22×C4×C11#4111yescharacteristic
132C22×C4×C11#4111yescharacteristic
133C22×Dic11—22no—
134C22×Dic11—22no—
135C22×Dic11—22no—
136C22×Dic11—22no—
137C22×Dic11—22no—
138C22×Dic11—41no—
139C22×Dic11—41no—
140C22×Dic11—42no—
141C22×Dic11—42no—
142C22×Dic11C22⋊C414yes—
143C22×Dic11D814yes—
144C22×Dic11SD1614yes—
145C2×D44—22no—
146C2×D44—22no—
147C2×D44—22no—
148C2×D44—22no—
149C2×D44—22no—
150C2×D44—22no—
151C2×D44—22no—
152C2×D44—22no—
153C2×D44—22no—
154C2×D44—22no—
155C2×D44—22no—
156C2×D44—22no—
157C2×D44—22no—
158C2×D44—22no—
159C2×D44—22no—
160C2×D44—41no—
161C2×D44—41no—
162C2×D44—41no—
163C2×D44—41no—
164C2×D44—41no—
165C2×D44—41no—
166C2×D44—41no—
167C2×D44—41no—
168C2×D44—41no—
169C2×D44—41no—
170C2×D44—41no—
171C2×D44—41no—
172C2×D44C4⋊C414yescomplemented
173C2×C8×C11—22no—
174C2×C8×C11—22no—
175C2×C8×C11—22no—
176C2×C8×C11—41no—
177C2×C8×C11—41no—
178C2×C8×C11—41no—
179C2×C8×C11—41no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—22no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—41no—
185C11×C4⋊C4—41no—
186C11×C4⋊C4—41no—
187C11×C4⋊C4—41no—
188(C2×D11)⋊C4—416no—
189C4⋊Dic11—22no—
190C4⋊Dic11—22no—
191C4⋊Dic11—41no—
192C4⋊Dic11—41no—
193Dic11⋊C4—416no—
194C4×Dic11—22no—
195C4×Dic11—22no—
196C4×Dic11—22no—
197C4×Dic11—22no—
198C2×C11⋊C8—22no—
199C2×C11⋊C8—22no—
200C2×C11⋊C8—22no—
201C2×C11⋊C8—41no—
202C2×C11⋊C8—41no—
203C2×C11⋊C8—41no—
204C2×C11⋊C8—41no—
205C22×#102—111no—
206C22×#102—111no—
207C2×#390—111no—
208C2×#384—111no—
209C2×#340—111no—
210C2×#340D1111yescharacteristic, complemented
211C2×#336—111no—
212C23×C11C2×C22⋊C411yescharacteristic
213C23×C11#12011yescharacteristic
214C23×C11#12111yescharacteristic
215C23×C11C22⋊Q811yescharacteristic
216C23×C11#12311yescharacteristic
217C23×C11#12411yescharacteristic
218C23×C11#12711yescharacteristic
219C23×C11C2×D812yes—
220C23×C11C2×SD1612yes—
221C23×C11AGL(1,ℤ/8)12yes—
222C23×C11#13712yes—
223C22×D11—24no—
224C22×D11—42no—
225C22×D11—42no—
226C22×D11—42no—
227C22×D11—42no—
228C22×D11—42no—
229C22×D11—42no—
230C22×D11—44no—
231C22×D11—44no—
232C22×D11—44no—
233C22×D11—44no—
234C22×D11—44no—
235C22×D11—44no—
236C22×D11—82no—
237C22×D11—82no—
238C22×D11—82no—
239C22×D11—82no—
240C22×D11—82no—
241C22×D11—82no—
242C22×D11—81no—
243C22×D11—81no—
244C22×D11—81no—
245C22×D11—81no—
246C2×C4×C11—42no—
247C2×C4×C11—42no—
248C2×C4×C11—44no—
249C2×C4×C11—44no—
250C2×C4×C11—82no—
251C2×C4×C11—82no—
252C2×C4×C11—81no—
253C2×C4×C11—81no—
254C2×C4×C11—81no—
255C2×C4×C11—81no—
256C2×C4×C11C2×C4⋊C411yescharacteristic
257C2×C4×C11#11711yescharacteristic
258C2×C4×C11C4×D411yescharacteristic
259C2×C4×C11C4×D411yescharacteristic
260C2×C4×C11C4×D411yescharacteristic
261C2×C4×C11C4×D411yescharacteristic
262C2×C4×C11#12011yescharacteristic
263C2×C4×C11#12011yescharacteristic
264C2×C4×C11#12111yescharacteristic
265C2×C4×C11#12111yescharacteristic
266C2×C4×C11#12111yescharacteristic
267C2×C4×C11#12111yescharacteristic
268C2×C4×C11#12111yescharacteristic
269C2×C4×C11#12111yescharacteristic
270C2×C4×C11#12111yescharacteristic
271C2×C4×C11C22⋊Q811yescharacteristic
272C2×C4×C11C22⋊Q811yescharacteristic
273C2×C4×C11C22⋊Q811yescharacteristic
274C2×C4×C11C22⋊Q811yescharacteristic
275C2×C4×C11C22⋊Q811yescharacteristic
276C2×C4×C11#12311yescharacteristic
277C2×C4×C11#12311yescharacteristic
278C2×C4×C11#12311yescharacteristic
279C2×C4×C11#12311yescharacteristic
280C2×C4×C11#12411yescharacteristic
281C2×C4×C11#12411yescharacteristic
282C2×C4×C11#12611yescharacteristic
283C2×C4×C11#12611yescharacteristic
284C2×Dic11—24no—
285C2×Dic11—24no—
286C2×Dic11—24no—
287C2×Dic11—24no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—42no—
291C2×Dic11—44no—
292C2×Dic11—82no—
293C2×Dic11—81no—
294C2×Dic11—81no—
295C2×Dic11#10218yescomplemented
296D44—24no—
297D44—24no—
298D44—42no—
299D44—42no—
300D44—42no—
301D44—42no—
302D44—42no—
303D44—42no—
304C8×C11—42no—
305C11⋊C8—42no—
306C23×D4—111no—
307C23×C8—111no—
308C23×C8C2×D1111yescharacteristic
309C22×C4⋊C4—111no—
310C22×C4⋊C4—222no—
311C22×C4⋊C4C2×D1111yescharacteristic
312C22×C4⋊C4C2×D1111yescharacteristic
313C22×C22⋊C4—222no—
314C22×C42—111no—
315C2×#102—222no—
316C2×#102—222no—
317C2×#102—222no—
318C2×#102—222no—
319C2×#102—222no—
320C2×#102—222no—
321#390—114no—
322#390—222no—
323#384—222no—
324#384—222no—
325#340—22no—
326#340—222no—
327#336—222no—
328C22×C11#38011yescharacteristic
329C22×C11#38611yescharacteristic
330C22×C11#39011yescharacteristic
331C22×C11#39211yescharacteristic
332C22×C11#39311yescharacteristic
333C22×C11#39711yescharacteristic
334C22×C11#39911yescharacteristic
335C22×C11C2×#10212yes—
336C22×C11#41712yes—
337C22×C11#44712yes—
338C22×C11#44812yes—
339C22×C11#45912yes—
340C22×C11#46112yes—
341C22×C11#47412yes—
342C22×C11#47612yes—
343C22×C11#48012yes—
344C22×C11#48112yes—
345C22×C11#48612yes—
346C22×C11#48912yes—
347C22×C11#49211yescharacteristic
348C22×C11#49311yescharacteristic
349C22×C11#49611yescharacteristic
350C22×C11#49711yescharacteristic
351C2×D11—48no—
352C2×D11—44no—
353C2×D11—84no—
354C2×D11—82no—
355C2×D11—82no—
356C2×D11—84no—
357C2×D11—82no—
358C2×D11—82no—
359C2×D11—82no—
360C2×D11—82no—
361C2×D11—84no—
362C4×C11—82no—
363C4×C11—82no—
364C4×C11#38511yescharacteristic
365C4×C11#38511yescharacteristic
366C4×C11#38811yescharacteristic
367C4×C11#38811yescharacteristic
368C4×C11#39411yescharacteristic
369C4×C11#39411yescharacteristic
370C4×C11#39611yescharacteristic
371C4×C11#39611yescharacteristic
372Dic11—28no—
373Dic11—82no—
374C25—221no—
375C22×D4—112no—
376C22×D4—112no—
377C22×D4—112no—
378C22×D4—221no—
379C22×D4—221no—
380C22×D4—221no—
381C22×D4—221no—
382C22×D4—221no—
383C22×D4—221no—
384C22×D4—221no—
385C22×D4—221no—
386C22×D4—221no—
387C22×D4—221no—
388C22×D4—221no—
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—112no—
392C23×C4—221no—
393C23×C4C22×D1111yescharacteristic
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C22×C8—21no—
398C22×C8—21no—
399C22×C8—21no—
400C22×C8—112no—
401C22×C8—221no—
402C22×C8—221no—
403C22×C8—221no—
404C22×C8—221no—
405C22×C8—221no—
406C22×C8—221no—
407C22×C8C22⋊D1112yes—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—112no—
419C2×C4⋊C4—221no—
420C2×C4⋊C4—221no—
421C2×C4⋊C4—221no—
422C2×C4⋊C4—221no—
423C2×C4⋊C4—228no—
424C2×C4⋊C4—221no—
425C2×C4⋊C4—444no—
426C2×C4⋊C4—444no—
427C2×C4⋊C4C4×D1112yes—
428C2×C4⋊C4D4412yes—
429C2×C22⋊C4—228no—
430C2×C22⋊C4—444no—
431C2×C22⋊C4—444no—
432C2×C42—112no—
433C2×C42—112no—
434C2×C42—221no—
435C2×C42—221no—
436C2×C42—221no—
437C2×C42—221no—
438#102—228no—
439#102—228no—
440C2×C11#143911yescharacteristic
441C2×C11#180212yes—
442C2×C11#187412yes—
443C2×C11#195711yescharacteristic
444C2×C11#195911yescharacteristic
445C2×C11#201111yescharacteristic
446C2×C11#201311yescharacteristic
447C2×C11#202312yes—
448C2×C11#207112yes—
449C2×C11#209311yescharacteristic
450C2×C11#209411yescharacteristic
451D11—84no—
452C24—222no—
453C24—222no—
454C24—222no—
455C24—441no—
456C24—441no—
457C24—441no—
458C24—442no—
459C24—442no—
460C24—442no—
461C24—442no—
462C24—441no—
463C24D4×D1111yescharacteristic
464C2×D4—114no—
465C2×D4—222no—
466C2×D4—222no—
467C2×D4—222no—
468C2×D4—222no—
469C2×D4—222no—
470C2×D4—222no—
471C2×D4—222no—
472C2×D4—222no—
473C2×D4—222no—
474C2×D4—222no—
475C2×D4—222no—
476C2×D4—222no—
477C2×D4—222no—
478C2×D4—222no—
479C2×D4—222no—
480C2×D4—441no—
481C2×D4—441no—
482C2×D4—441no—
483C2×D4—441no—
484C2×D4—441no—
485C2×D4—441no—
486C2×D4—441no—
487C2×D4—441no—
488C2×D4—441no—
489C2×D4—441no—
490C2×D4—441no—
491C2×D4—441no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—114no—
503C22×C4—114no—
504C22×C4—114no—
505C22×C4—222no—
506C22×C4—222no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—222no—
510C22×C4—441no—
511C22×C4—442no—
512C22×C4—442no—
513C22×C4—441no—
514C22×C4C2×C4×D1111yescharacteristic
515C22×C4C2×D4411yescharacteristic
516C22×C4#433911yescharacteristic
517C22×C4#433911yescharacteristic
518C22×C4#433911yescharacteristic
519C22×C4#433911yescharacteristic
520C22×C4D4×D1111yescharacteristic
521C22×C4D4×D1111yescharacteristic
522C22×C4D4×D1111yescharacteristic
523C22×C4D4×D1111yescharacteristic
524C22×C4#434111yescharacteristic
525C22×C4Q8×D1111yescharacteristic
526C22×C4#434311yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—222no—
536C2×C8—222no—
537C2×C8—222no—
538C2×C8—441no—
539C2×C8—441no—
540C2×C8—441no—
541C2×C8—441no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—222no—
551C4⋊C4—222no—
552C4⋊C4—4416no—
553C4⋊C4—441no—
554C4⋊C4—441no—
555C22⋊C4—4416no—
556C42—222no—
557C42—222no—
558C42—222no—
559C42—222no—
560C11#1104911yescharacteristic, complemented, Sylow
561C23—224no—
562C23—444no—
563C23—444no—
564C23—442no—
565C23—442no—
566C23—442no—
567C23—442no—
568C23—442no—
569C23—442no—
570C23—444no—
571C23—444no—
572C23—444no—
573C23—444no—
574C23—882no—
575C23—882no—
576C23—881no—
577C23—881no—
578C23—881no—
579C23—881no—
580C23—882no—
581C23—882no—
582C23—882no—
583C23—882no—
584C23C22⋊C4×D1111yescharacteristic
585C23#6693511yescharacteristic
586C23#6693711yescharacteristic
587C23#6693811yescharacteristic
588C23#6694711yescharacteristic
589C23#6694911yescharacteristic
590C23D8×D1112yes—
591C23SD16×D1112yes—
592C23#6696712yes—
593C23#6697112yes—
594C23#6699311yescharacteristic
595D4—224no—
596D4—224no—
597D4—442no—
598D4—442no—
599D4—442no—
600D4—442no—
601D4—442no—
602D4—442no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—81no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—82no—
612C2×C4—82no—
613C2×C4—118no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—442no—
621C2×C4—444no—
622C2×C4—881no—
623C2×C4—881no—
624C2×C4—882no—
625C2×C4#6692511yescharacteristic
626C2×C4C4×D4411yescharacteristic
627C2×C4#6692811yescharacteristic
628C2×C4#6692911yescharacteristic
629C2×C4(C22⋊D11)⋊C411yescharacteristic
630C2×C4#6693511yescharacteristic
631C2×C4#6693611yescharacteristic
632C2×C4#6693711yescharacteristic
633C2×C4#6693711yescharacteristic
634C2×C4#6693711yescharacteristic
635C2×C4#6693711yescharacteristic
636C2×C4#6693811yescharacteristic
637C2×C4C4⋊C4×D1111yescharacteristic
638C2×C4#6694611yescharacteristic
639C2×C4#6694711yescharacteristic
640C2×C4#6694711yescharacteristic
641C2×C4#6694811yescharacteristic
642C2×C4#6694911yescharacteristic
643C2×C4#6694911yescharacteristic
644C2×C4#6694911yescharacteristic
645C2×C4#6695011yescharacteristic
646C2×C4#6695111yescharacteristic
647C2×C4C4×C22⋊D1111yescharacteristic
648C2×C4#6698211yescharacteristic
649C2×C4#6698311yescharacteristic
650C2×C4#6699011yescharacteristic
651C2×C4#6699211yescharacteristic
652C2×C4#6699911yescharacteristic
653C8—42no—
654C8—442no—
655C22—448no—
656C22—444no—
657C22—882no—
658C22—882no—
659C22—882no—
660C22—882no—
661C22—882no—
662C22—884no—
663C22—882no—
664C22—884no—
665C22—884no—
666C22#1062227811yescharacteristic
667C22#1062228011yescharacteristic
668C22#1062228611yescharacteristic
669C22#1062228811yescharacteristic
670C22#1062237312yes—
671C22D11×#10212yes—
672C22#1062238612yes—
673C22#1062239912yes—
674C22#1062240812yes—
675C22#1062241612yes—
676C22#1062241912yes—
677C22#1062243112yes—
678C22#1062247612yes—
679C22#1062248312yes—
680C22#1062249512yes—
681C22#1062250312yes—
682C22#1062257011yescharacteristic
683C22#1062257311yescharacteristic
684C22#1062260511yescharacteristic
685C22#1062276411yescharacteristic
686C22#1062278811yescharacteristic
687C22#1062278911yescharacteristic
688C22#1062280311yescharacteristic
689C4—82no—
690C4—82no—
691C4—228no—
692C4—882no—
693C4#1062228111yescharacteristic
694C4#1062228211yescharacteristic
695C4#1062228511yescharacteristic
696C4#1062228911yescharacteristic
697C4#1062255311yescharacteristic
698C4#1062257211yescharacteristic
699C4#1062260211yescharacteristic
700C4#1062260711yescharacteristic
701C2—884no—
702C2#1306686011yescharacteristic
703C2#1306861512yes—
704C2#1306893212yes—
705C2#1306942011yescharacteristic
706C2#1306942911yescharacteristic
707C2#1306968811yescharacteristic
708C2#1306970011yescharacteristic
709C2#1306975112yes—
710C2#1307002312yes—
711C2#1307014111yescharacteristic
712C2#1307014611yescharacteristic
subgroupG/H
centerC24D4×D11
commutatorC22×C4×C11C22×C4
FrattiniC23×C4C22×D11
FittingC2×C11×#340C2
socleC24×C11C2×D4
prime radicalC23×D44C22
cosocleC23×C4×C11C23
hypercenterC2×#340D11
hypocenterC11#11049
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
4. C2×#10622589C2semidirect
5. C2×#10622167C2semidirect
6. C2×#10622188C2semidirect
7. C2×C11×#340C2semidirect
21. #10622601C4semidirect
172. C2×D44C4⋊C4semidirect
210. C2×#340D11semidirect
295. C2×Dic11#102semidirect
560. C11#11049semidirect

Maximal subgroups

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

subgroupindex
C22×#668852
C22×#668732
C2×#106226012
C2×#106225892
C2×#106221672
C2×#106221882
C2×C11×#3402
#1104911