Finite Group Databasebeta

← C2×#13072035 #14922100

Subgroups — C2×#13072035 #14922100

Order 2816.

4174 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66991C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D11C211yesmaximal, characteristic, complemented
3C22×#66979C211yesmaximal, characteristic, complemented
4#13072035C2116yesmaximal, direct product factor
5C2×#10622835C212yesmaximal, complemented
6C2×#10622836C212yesmaximal, complemented
7C2×#10622834C211yesmaximal, characteristic, complemented
8C2×#10622570C212yesmaximal, complemented
9C2×#10622586C211yesmaximal, characteristic, complemented
10C2×#10622558C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C22×C11×#121C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C23×D4×C11C2212yes—
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2211yescharacteristic
17C23×C22⋊D11C2212yes—
18C23×C4×D11C2211yescharacteristic
19C2×C11×#121—28no—
20C2×C11×#121C2218yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2212yes—
23C22×C22⋊Dic11C2212yes—
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2212yes—
26C22×C22⋊Dic11C2212yes—
27C22×C22⋊Dic11C2212yes—
28C2×#66991—28no—
29C2×#66991C2218yescomplemented
30C2×C4×C22⋊D11—28no—
31C2×C4×C22⋊D11C2218yescomplemented
32C22×(C2×D11)⋊C4C2211yescharacteristic
33C22×(C2×D11)⋊C4C2212yes—
34C2×#66979—28no—
35C2×#66979C2218yescomplemented
36C22×C4⋊Dic11C2211yescharacteristic
37C22×C4⋊Dic11C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C22×Dic11⋊C4C2212yes—
40C22×C4×Dic11C2212yes—
41C22×C4×Dic11C2211yescharacteristic
42#10622836C22116yescomplemented
43#10622835C22116yescomplemented
44#10622834C2218yescomplemented
45C2×C11⋊#95C2212yes—
46C2×C11⋊#95C2212yes—
47#10622600C2218yescomplemented
48#10622586C2218yescomplemented
49#10622570C22116yescomplemented
50#10622558C22116yescomplemented
51C25×C11C2312yes—
52C25×C11C2311yescharacteristic
53C24×D11C2311yescharacteristic
54C22×D4×C11—28no—
55C22×D4×C11—24no—
56C22×D4×C11—24no—
57C22×D4×C11—24no—
58C22×D4×C11—44no—
59C22×D4×C11—44no—
60C22×D4×C11C2314yes—
61C22×D4×C11C2318yes—
62C23×C4×C11—24no—
63C23×C4×C11—24no—
64C23×C4×C11D418yescomplemented
65C23×C4×C11C2312yes—
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2314yes—
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11—24no—
70C22×C22⋊D11—24no—
71C22×C22⋊D11—28no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—24no—
74C22×C22⋊D11—44no—
75C22×C22⋊D11C2314yes—
76C22×C22⋊D11C2318yes—
77C23×Dic11C2311yescharacteristic
78C23×Dic11C2312yes—
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2312yes—
81C23×Dic11C2311yescharacteristic
82C22×C4×D11—24no—
83C22×C4×D11—24no—
84C22×C4×D11—24no—
85C22×C4×D11C2314yes—
86C11×#121—232no—
87C2×C11×C4⋊C4—24no—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4—28no—
90C2×C11×C22⋊C4C2318yes—
91C2×C22⋊Dic11—24no—
92C2×C22⋊Dic11—28no—
93C2×C22⋊Dic11—28no—
94C2×C22⋊Dic11—28no—
95C2×C22⋊Dic11—44no—
96C2×C22⋊Dic11C2318yes—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2318yes—
99C2×C22⋊Dic11C2318yes—
100C2×C22⋊Dic11C2318yes—
101#66991—232no—
102C4×C22⋊D11—232no—
103C2×(C2×D11)⋊C4—24no—
104C2×(C2×D11)⋊C4—44no—
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2318yes—
107#66979—232no—
108C2×C4⋊Dic11—24no—
109C2×C4⋊Dic11D418yescomplemented
110C2×C4⋊Dic11C2314yes—
111C2×C4⋊Dic11C2314yes—
112C2×Dic11⋊C4—24no—
113C2×Dic11⋊C4—44no—
114C2×Dic11⋊C4C2314yes—
115C2×Dic11⋊C4C2318yes—
116C2×C4×Dic11—24no—
117C2×C4×Dic11—28no—
118C2×C4×Dic11C2318yes—
119C2×C4×Dic11C2314yes—
120C11⋊#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2414—111nomaximal, Sylow
123C24×C11—22no—
124C24×C11—22no—
125C24×C11—22no—
126C24×C11—22no—
127C24×C11—22no—
128C24×C11—22no—
129C24×C11—24no—
130C24×C11—24no—
131C24×C11—24no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—24no—
135C24×C11—24no—
136C24×C11C2×D414yes—
137C24×C11C2414yes—
138C24×C11C2412yes—
139C24×C11C2411yescharacteristic
140C23×D11—22no—
141C23×D11—22no—
142C23×D11—22no—
143C23×D11—22no—
144C23×D11—22no—
145C23×D11—22no—
146C23×D11#4114yes—
147C23×D11C2412yes—
148C2×D4×C11—216no—
149C2×D4×C11—28no—
150C2×D4×C11—28no—
151C2×D4×C11—28no—
152C2×D4×C11—48no—
153C2×D4×C11—48no—
154C2×D4×C11—432no—
155C2×D4×C11—416no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—232no—
159C22×C4×C11—28no—
160C22×C4×C11—28no—
161C22×C4×C11—24no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11C2×D414yes—
165C22×C4×C11C2×D414yes—
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2×D4116yescomplemented
168C22×C4×C11#4114yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C2×C22⋊D11—232no—
173C2×C22⋊D11—216no—
174C2×C22⋊D11—28no—
175C2×C22⋊D11—28no—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—216no—
178C2×C22⋊D11—48no—
179C2×C22⋊D11—432no—
180C22×Dic11—22no—
181C22×Dic11—24no—
182C22×Dic11—22no—
183C22×Dic11—22no—
184C22×Dic11—22no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—22no—
189C22×Dic11—24no—
190C22×Dic11—22no—
191C22×Dic11—24no—
192C22×Dic11—22no—
193C22×Dic11C2×D418yes—
194C22×Dic11#4114yes—
195C22×Dic11C2412yes—
196C22×Dic11C2414yes—
197C22×Dic11C2412yes—
198C22×Dic11C2414yes—
199C22×Dic11C2412yes—
200C2×C4×D11—28no—
201C2×C4×D11—28no—
202C2×C4×D11—28no—
203C2×C4×D11—416no—
204C11×C4⋊C4—28no—
205C11×C22⋊C4—216no—
206C22⋊Dic11—216no—
207C22⋊Dic11—216no—
208C22⋊Dic11—216no—
209C22⋊Dic11—28no—
210C22⋊Dic11—48no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—48no—
213C4⋊Dic11—28no—
214C4⋊Dic11C2×D4116yescomplemented
215Dic11⋊C4—28no—
216Dic11⋊C4—48no—
217C4×Dic11—216no—
218C4×Dic11—28no—
219C22×#121—111no—
220C22×#121D1111yescharacteristic, complemented
221C22×C4×D4—111no—
222C22×#117—111no—
223#2414—1116no—
224C2×#394—112no—
225C2×#392—112no—
226C2×#390—111no—
227C2×#390—112no—
228C2×#389—111no—
229C2×#388—112no—
230C2×#380—111no—
231C23×C11—28no—
232C23×C11—28no—
233C23×C11—28no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—24no—
241C23×C11—24no—
242C23×C11—24no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—24no—
246C23×C11—24no—
247C23×C11—44no—
248C23×C11—44no—
249C23×C11—44no—
250C23×C11—44no—
251C23×C11—48no—
252C23×C11—48no—
253C23×C11—48no—
254C23×C11—48no—
255C23×C11—48no—
256C23×C11—48no—
257C23×C11—48no—
258C23×C11C22×D412yes—
259C23×C11C22×D414yes—
260C23×C11C22×D412yes—
261C23×C11C2×#4112yes—
262C23×C11C2×#4112yes—
263C23×C11C2×#4112yes—
264C23×C11H(5,𝔽2)12yes—
265C23×C11H(5,𝔽2)12yes—
266C23×C11C2511yescharacteristic
267C22×D11—28no—
268C22×D11—28no—
269C22×D11—28no—
270C22×D11—22no—
271C22×D11—22no—
272C22×D11—22no—
273C22×D11—22no—
274C22×D11—22no—
275C22×D11—22no—
276C22×D11—44no—
277C22×D11—44no—
278C22×D11—44no—
279C22×D11—44no—
280C22×D11C2×#4114yes—
281D4×C11—432no—
282D4×C11—416no—
283C2×C4×C11—28no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—232no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—48no—
291C2×C4×C11#121116yes—
292C2×C4×C11C22×D414yes—
293C2×C4×C11C22×D414yes—
294C2×C4×C11C22×D414yes—
295C2×C4×C11C2×#4114yes—
296C22⋊D11—232no—
297C22⋊D11—432no—
298C2×Dic11—28no—
299C2×Dic11—216no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11—44no—
314C2×Dic11—44no—
315C2×Dic11—48no—
316C2×Dic11C22×D418yes—
317C2×Dic11C2×#4114yes—
318C4×D11—416no—
319C23×D4—111no—
320C23×D4—112no—
321C23×D4C2×D1111yescharacteristic
322C23×D4C2×D1112yes—
323C24×C4—111no—
324C24×C4C2×D1111yescharacteristic
325C2×#121—28no—
326C2×#121—118no—
327C2×#121—228no—
328C2×#121C2×D1118yescomplemented
329C2×C4×D4—118no—
330C2×C4×D4—228no—
331C2×#117—118no—
332C2×#117—228no—
333C22×C4⋊C4—111no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—111no—
336C22×C4⋊C4—112no—
337C22×C4⋊C4C2×D1111yescharacteristic
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—111no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4C2×D1112yes—
346C22×C42—112no—
347C22×C42—111no—
348#394—1116no—
349#392—1116no—
350#390—118no—
351#390—1116no—
352#389—118no—
353#388—1116no—
354#380—118no—
355C2×#95—112no—
356C2×#95—112no—
357C22×C11—24no—
358C22×C11—24no—
359C22×C11—24no—
360C22×C11—416no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—44no—
369C22×C11—44no—
370C22×C11—44no—
371C22×C11—44no—
372C22×C11—816no—
373C22×C11C2×#12114yes—
374C22×C11#52514yes—
375C22×C11#53514yes—
376C22×C11#54614yes—
377C22×C11#55014yes—
378C22×C11#55314yes—
379C22×C11#55514yes—
380C22×C11C23×D411yescharacteristic
381C22×C11C23×D411yescharacteristic
382C22×C11C22×#4111yescharacteristic
383C22×C11C22×#4111yescharacteristic
384C22×C11C22×#4111yescharacteristic
385C22×C11C2×H(5,𝔽2)11yescharacteristic
386C22×C11C2×H(5,𝔽2)11yescharacteristic
387C2×D11—24no—
388C2×D11—24no—
389C2×D11—24no—
390C2×D11—42no—
391C2×D11—416no—
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C4×C11—24no—
396C4×C11—44no—
397C4×C11C2×#12118yes—
398Dic11—24no—
399Dic11—28no—
400Dic11—42no—
401Dic11—42no—
402Dic11—44no—
403C25—111no—
404C25C22×D1112yes—
405C25C22×D1111yescharacteristic
406C22×D4—28no—
407C22×D4—24no—
408C22×D4—24no—
409C22×D4—24no—
410C22×D4—44no—
411C22×D4—44no—
412C22×D4—114no—
413C22×D4—118no—
414C22×D4—224no—
415C22×D4—228no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—228no—
419C22×D4—444no—
420C22×D4C22×D1114yes—
421C22×D4C22×D1118yes—
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—112no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—112no—
428C23×C4—111no—
429C23×C4—114no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4C22⋊D1118yescomplemented
434C23×C4C22×D1112yes—
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1114yes—
437C23×C4C22×D1111yescharacteristic
438#121—232no—
439#121—2232no—
440C4×D4—2232no—
441#117—2232no—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—118no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—118no—
448C2×C4⋊C4—224no—
449C2×C4⋊C4—224no—
450C2×C4⋊C4—444no—
451C2×C4⋊C4C22×D1114yes—
452C2×C22⋊C4—28no—
453C2×C22⋊C4—118no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—114no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—228no—
462C2×C22⋊C4—228no—
463C2×C22⋊C4—224no—
464C2×C22⋊C4—224no—
465C2×C22⋊C4—444no—
466C2×C22⋊C4—444no—
467C2×C22⋊C4C22×D1118yes—
468C2×C42—118no—
469C2×C42—114no—
470C2×C42—228no—
471C2×C42—224no—
472#95—118no—
473#95—118no—
474C2×C11—44no—
475C2×C11—84no—
476C2×C11#241418yescomplemented
477C2×C11C22×#12111yescharacteristic
478C2×C11C2×#52511yescharacteristic
479C2×C11C2×#53511yescharacteristic
480C2×C11C2×#54611yescharacteristic
481C2×C11C2×#55011yescharacteristic
482C2×C11C2×#55311yescharacteristic
483C2×C11C2×#55511yescharacteristic
484D11—44no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—24no—
492C24—24no—
493C24—24no—
494C24—24no—
495C24—24no—
496C24—24no—
497C24—24no—
498C24—114no—
499C24—112no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24C2×C22⋊D1114yes—
507C24C23×D1114yes—
508C24C23×D1112yes—
509C24C23×D1111yescharacteristic
510C2×D4—216no—
511C2×D4—28no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—48no—
515C2×D4—48no—
516C2×D4—432no—
517C2×D4—416no—
518C2×D4—228no—
519C2×D4—2216no—
520C2×D4—228no—
521C2×D4—2232no—
522C2×D4—228no—
523C2×D4—2216no—
524C2×D4—448no—
525C2×D4—4432no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—232no—
529C22×C4—28no—
530C22×C4—28no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—118no—
535C22×C4—114no—
536C22×C4—112no—
537C22×C4—114no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—112no—
541C22×C4—224no—
542C22×C4—222no—
543C22×C4—224no—
544C22×C4—222no—
545C22×C4—224no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—224no—
550C22×C4—222no—
551C22×C4—224no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—228no—
555C22×C4—228no—
556C22×C4—228no—
557C22×C4—4416no—
558C22×C4D4×D1114yes—
559C22×C4#434114yes—
560C22×C4C2×C22⋊D1114yes—
561C22×C4C2×C22⋊D1114yes—
562C22×C4C2×C22⋊D11116yescomplemented
563C22×C4C23×D1114yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1112yes—
566C4⋊C4—28no—
567C4⋊C4—1116no—
568C4⋊C4—228no—
569C4⋊C4—228no—
570C4⋊C4—448no—
571C22⋊C4—216no—
572C22⋊C4—2216no—
573C22⋊C4—2216no—
574C22⋊C4—2216no—
575C22⋊C4—228no—
576C22⋊C4—228no—
577C22⋊C4—448no—
578C22⋊C4—448no—
579C42—2216no—
580C42—228no—
581C11C2×#241411yescharacteristic, complemented, Sylow
582C23—28no—
583C23—28no—
584C23—28no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—48no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—114no—
610C23—228no—
611C23—228no—
612C23—228no—
613C23—222no—
614C23—222no—
615C23—222no—
616C23—222no—
617C23—222no—
618C23—222no—
619C23—444no—
620C23—444no—
621C23—444no—
622C23—444no—
623C23C2×D4×D1112yes—
624C23C2×#434112yes—
625C23#6703712yes—
626C23#6703712yes—
627C23#41×D1112yes—
628C23#41×D1112yes—
629C23C22×C22⋊D1114yes—
630C23C22×C22⋊D1112yes—
631C23C24×D1111yescharacteristic
632D4—432no—
633D4—416no—
634D4—2232no—
635D4—4432no—
636C2×C4—28no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—232no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—48no—
644C2×C4—118no—
645C2×C4—114no—
646C2×C4—228no—
647C2×C4—2216no—
648C2×C4—224no—
649C2×C4—224no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—224no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—224no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—444no—
662C2×C4—444no—
663C2×C4—448no—
664C2×C4—4416no—
665C2×C4#66992116yes—
666C2×C4C2×D4×D1114yes—
667C2×C4C2×#434114yes—
668C2×C4C22×C22⋊D1114yes—
669C2×C4C22×C22⋊D1114yes—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—42no—
674C22—42no—
675C22—416no—
676C22—42no—
677C22—42no—
678C22—44no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—816no—
686C22—224no—
687C22—224no—
688C22—224no—
689C22—442no—
690C22—442no—
691C22—4416no—
692C22—442no—
693C22—442no—
694C22#1062313014yes—
695C22#1062314314yes—
696C22#1062314514yes—
697C22#1062314714yes—
698C22C2×#6699214yes—
699C22#1062333614yes—
700C22#1062335914yes—
701C22C22×D4×D1111yescharacteristic
702C22C22×#434111yescharacteristic
703C22C2×#6703711yescharacteristic
704C22C2×#6703711yescharacteristic
705C22C2×#41×D1111yescharacteristic
706C22C2×#41×D1111yescharacteristic
707C22C23×C22⋊D1111yescharacteristic
708C4—24no—
709C4—44no—
710C4—228no—
711C4—224no—
712C4—442no—
713C4—442no—
714C4—444no—
715C4C2×#6699218yes—
716C2—44no—
717C2—84no—
718C2—444no—
719C2#1307203518yesdirect product factor
720C2C22×#6699211yescharacteristic
721C2C2×#1062335911yescharacteristic
722C2C2×#1062333611yescharacteristic
723C2C2×#1062314311yescharacteristic
724C2C2×#1062313011yescharacteristic
725C2C2×#1062314511yescharacteristic
726C2C2×#1062314711yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C11×#121C2
socleC24×C11C24
hypercenterC22×#121D11
hypocenterC11C2×#2414
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#121

Complements

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

NH ≅ G/Ntype
1. C22×#66991C2semidirect
2. C22×C4×C22⋊D11C2semidirect
3. C22×#66979C2semidirect
4. #13072035C2direct (N × H)
5. C2×#10622835C2semidirect
6. C2×#10622836C2semidirect
7. C2×#10622834C2semidirect
8. C2×#10622570C2semidirect
9. C2×#10622586C2semidirect
10. C2×#10622558C2semidirect
11. C2×#10622600C2semidirect
12. C22×C11×#121C2semidirect
20. C2×C11×#121C22semidirect
29. C2×#66991C22semidirect
31. C2×C4×C22⋊D11C22semidirect
35. C2×#66979C22semidirect
42. #10622836C22semidirect
43. #10622835C22semidirect
44. #10622834C22semidirect
47. #10622600C22semidirect
48. #10622586C22semidirect
49. #10622570C22semidirect
50. #10622558C22semidirect
64. C23×C4×C11D4semidirect
109. C2×C4⋊Dic11D4semidirect
167. C22×C4×C11C2×D4semidirect
214. C4⋊Dic11C2×D4semidirect
220. C22×#121D11semidirect
328. C2×#121C2×D11semidirect
433. C23×C4C22⋊D11semidirect
476. C2×C11#2414semidirect
562. C22×C4C2×C22⋊D11semidirect
581. C11C2×#2414semidirect
719. C2#13072035direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669912
C22×C4×C22⋊D112
C22×#669792
#130720352
C2×#106228352
C2×#106228362
C2×#106228342
C2×#106225702
C2×#106225862
C2×#106225582
C2×#106226002
C22×C11×#1212
C2×#241411