Finite Group Databasebeta

← C2×#13072032 #14922097

Subgroups — C2×#13072032 #14922097

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×#66948C211yesmaximal, characteristic, complemented
2C22×#66948C211yesmaximal, characteristic, complemented
3C22×C4×D44C211yesmaximal, characteristic, complemented
4C22×#66945C211yesmaximal, characteristic, complemented
5#13072032C2116yesmaximal, direct product factor
6C2×#10622604C212yesmaximal, complemented
7C2×#10622284C212yesmaximal, complemented
8C2×#10622552C211yesmaximal, characteristic, complemented
9C2×#10622601C212yesmaximal, complemented
10C2×#10622283C212yesmaximal, complemented
11C2×#10622600C211yesmaximal, characteristic, complemented
12C2×C11×#389C211yesmaximal, characteristic, complemented
13C23×D44C2211yescharacteristic
14C23×D44C2211yescharacteristic
15C23×D44C2212yes—
16C23×D44C2212yes—
17C23×C4×D11C2211yescharacteristic
18C23×C4×D11C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2212yes—
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C42×C11C2211yescharacteristic
23C22×(C2×D11)⋊C4C2212yes—
24C22×(C2×D11)⋊C4C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2212yes—
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×C4⋊Dic11C2211yescharacteristic
32C22×C4⋊Dic11C2211yescharacteristic
33C22×C4×Dic11C2212yes—
34C2×#66948—28no—
35C2×#66948—28no—
36C2×#66948C2218yescomplemented
37C2×#66948C2218yescomplemented
38C2×#66945—28no—
39C2×#66945C2218yescomplemented
40C2×C4×D44—28no—
41C2×C4×D44C2218yescomplemented
42C11×#389C2218yescomplemented
43C2×C11×#95C2212yes—
44C2×C11⋊#95C2212yes—
45#10622604C22116yescomplemented
46#10622601C22116yescomplemented
47#10622600C2218yescomplemented
48#10622552C2218yescomplemented
49#10622284C22116yescomplemented
50#10622283C22116yescomplemented
51C24×D11C2312yes—
52C24×D11C2311yescharacteristic
53C24×D11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2312yes—
56C23×C4×C11C2312yes—
57C23×C4×C11C2311yescharacteristic
58C23×C4×C11C2311yescharacteristic
59C23×Dic11C2312yes—
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C22×D44—24no—
63C22×D44—24no—
64C22×D44—24no—
65C22×D44—28no—
66C22×D44—28no—
67C22×D44—28no—
68C22×D44—24no—
69C22×D44—24no—
70C22×D44—24no—
71C22×D44—44no—
72C22×D44—44no—
73C22×D44—44no—
74C22×D44C2314yes—
75C22×D44C2314yes—
76C22×D44C2318yes—
77C22×D44C2318yes—
78C22×C4×D11—24no—
79C22×C4×D11—24no—
80C22×C4×D11—24no—
81C22×C4×D11—24no—
82C22×C4×D11—24no—
83C22×C4×D11D418yescomplemented
84C22×C4×D11C2314yes—
85C22×C4×D11C2314yes—
86C2×C11×C4⋊C4—24no—
87C2×C11×C4⋊C4—44no—
88C2×C11×C4⋊C4D418yescomplemented
89C2×C11×C4⋊C4C2314yes—
90C2×C11×C4⋊C4C2318yes—
91C2×C11×C4⋊C4C2314yes—
92C2×C42×C11—24no—
93C2×C42×C11C2314yes—
94C2×(C2×D11)⋊C4—24no—
95C2×(C2×D11)⋊C4—28no—
96C2×(C2×D11)⋊C4—28no—
97C2×(C2×D11)⋊C4—28no—
98C2×(C2×D11)⋊C4—24no—
99C2×(C2×D11)⋊C4—28no—
100C2×(C2×D11)⋊C4—44no—
101C2×(C2×D11)⋊C4—44no—
102C2×(C2×D11)⋊C4C2314yes—
103C2×(C2×D11)⋊C4C2314yes—
104C2×(C2×D11)⋊C4C2318yes—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×C4⋊Dic11—24no—
111C2×C4⋊Dic11—24no—
112C2×C4⋊Dic11C2314yes—
113C2×C4⋊Dic11C2314yes—
114C2×C4×Dic11—28no—
115C2×C4×Dic11C2318yes—
116#66948—232no—
117#66948—232no—
118#66945—232no—
119C4×D44—232no—
120C11×#95C2318yes—
121C11⋊#95C2318yes—
122C2×#2414—111nomaximal, Sylow
123C24×C11C2411yescharacteristic
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—22no—
129C23×D11—22no—
130C23×D11—22no—
131C23×D11—22no—
132C23×D11—22no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—22no—
136C23×D11—24no—
137C23×D11—24no—
138C23×D11—24no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11C2×D414yes—
144C23×D11#4114yes—
145C23×D11C2414yes—
146C23×D11C2412yes—
147C23×D11C2412yes—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—24no—
151C22×C4×C11—24no—
152C22×C4×C11—22no—
153C22×C4×C11—24no—
154C22×C4×C11—22no—
155C22×C4×C11—24no—
156C22×C4×C11—22no—
157C22×C4×C11—24no—
158C22×C4×C11C2×D418yes—
159C22×C4×C11C2×D414yes—
160C22×C4×C11C2×D414yes—
161C22×C4×C11#4114yes—
162C22×C4×C11#4114yes—
163C22×C4×C11C2414yes—
164C22×C4×C11C2412yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C22×C4×C11C2412yes—
168C22×Dic11—22no—
169C22×Dic11—24no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—24no—
174C22×Dic11—22no—
175C22×Dic11—24no—
176C22×Dic11C2×D414yes—
177C22×Dic11C2412yes—
178C22×Dic11C2414yes—
179C22×Dic11C2412yes—
180C2×D44—232no—
181C2×D44—28no—
182C2×D44—216no—
183C2×D44—28no—
184C2×D44—216no—
185C2×D44—216no—
186C2×D44—28no—
187C2×D44—28no—
188C2×D44—28no—
189C2×D44—28no—
190C2×D44—48no—
191C2×D44—48no—
192C2×D44—48no—
193C2×D44—432no—
194C2×D44—432no—
195C2×D44—416no—
196C2×C4×D11—232no—
197C2×C4×D11—28no—
198C2×C4×D11—28no—
199C2×C4×D11—28no—
200C2×C4×D11—28no—
201C2×C4×D11—28no—
202C2×C4×D11—416no—
203C2×C4×D11C2×D4116yescomplemented
204C11×C4⋊C4—28no—
205C11×C4⋊C4—48no—
206C11×C4⋊C4C2×D4116yescomplemented
207C42×C11—28no—
208(C2×D11)⋊C4—28no—
209(C2×D11)⋊C4—216no—
210(C2×D11)⋊C4—28no—
211(C2×D11)⋊C4—216no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4—216no—
214(C2×D11)⋊C4—48no—
215(C2×D11)⋊C4—48no—
216C4⋊Dic11—28no—
217C4⋊Dic11—28no—
218C4×Dic11—216no—
219C22×#121—111no—
220C22×#121—111no—
221C22×C4×D4—111no—
222C22×#117—111no—
223#2414—1116no—
224C2×#394—112no—
225C2×#392—112no—
226C2×#390—111no—
227C2×#390—112no—
228C2×#389D1111yescharacteristic, complemented
229C2×#388—112no—
230C2×#380—111no—
231C23×C11C22×D412yes—
232C23×C11C22×D412yes—
233C23×C11C2×#4112yes—
234C23×C11C2×#4112yes—
235C23×C11C2×#4112yes—
236C23×C11H(5,𝔽2)12yes—
237C23×C11H(5,𝔽2)12yes—
238C23×C11C2511yescharacteristic
239C22×D11—28no—
240C22×D11—28no—
241C22×D11—28no—
242C22×D11—28no—
243C22×D11—28no—
244C22×D11—28no—
245C22×D11—22no—
246C22×D11—22no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—22no—
250C22×D11—22no—
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—22no—
256C22×D11—22no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—44no—
265C22×D11—44no—
266C22×D11—44no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—44no—
271C22×D11—44no—
272C22×D11—48no—
273C22×D11—48no—
274C22×D11—48no—
275C22×D11—48no—
276C22×D11—48no—
277C22×D11—48no—
278C22×D11—48no—
279C22×D11C22×D414yes—
280C22×D11C2×#4114yes—
281C2×C4×C11—28no—
282C2×C4×C11—216no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—22no—
290C2×C4×C11—24no—
291C2×C4×C11—22no—
292C2×C4×C11—24no—
293C2×C4×C11—48no—
294C2×C4×C11—44no—
295C2×C4×C11#121116yes—
296C2×C4×C11C22×D418yes—
297C2×C4×C11C22×D414yes—
298C2×C4×C11C22×D414yes—
299C2×C4×C11C2×#4114yes—
300C2×C4×C11C2×#4114yes—
301C2×Dic11—28no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—24no—
308C2×Dic11—22no—
309C2×Dic11—24no—
310C2×Dic11—44no—
311C2×Dic11—48no—
312C2×Dic11C22×D414yes—
313D44—232no—
314D44—432no—
315D44—432no—
316D44—416no—
317C4×D11—232no—
318C4×D11—416no—
319C23×D4—111no—
320C23×D4—111no—
321C23×D4—112no—
322C23×D4—112no—
323C24×C4—111no—
324C24×C4—111no—
325C2×#121—118no—
326C2×#121—118no—
327C2×#121—228no—
328C2×#121—228no—
329C2×C4×D4—118no—
330C2×C4×D4—228no—
331C2×#117—118no—
332C2×#117—228no—
333C22×C4⋊C4—111no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4C2×D1111yescharacteristic
336C22×C4⋊C4C2×D1112yes—
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⋊C4—112no—
346C22×C42—112no—
347C22×C42C2×D1111yescharacteristic
348#394—1116no—
349#392—1116no—
350#390—1116no—
351#390—118no—
352#389C2×D1118yescomplemented
353#388—1116no—
354#380—118no—
355C2×#95—112no—
356C2×#95C2×D1112yes—
357C22×C11C2×#12114yes—
358C22×C11#52514yes—
359C22×C11#53514yes—
360C22×C11#54614yes—
361C22×C11#55014yes—
362C22×C11#55314yes—
363C22×C11#55514yes—
364C22×C11C23×D411yescharacteristic
365C22×C11C23×D411yescharacteristic
366C22×C11C22×#4111yescharacteristic
367C22×C11C22×#4111yescharacteristic
368C22×C11C22×#4111yescharacteristic
369C22×C11C2×H(5,𝔽2)11yescharacteristic
370C22×C11C2×H(5,𝔽2)11yescharacteristic
371C2×D11—24no—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—24no—
375C2×D11—24no—
376C2×D11—24no—
377C2×D11—42no—
378C2×D11—416no—
379C2×D11—416no—
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—44no—
394C2×D11—816no—
395C4×C11—24no—
396C4×C11—28no—
397C4×C11—42no—
398C4×C11—44no—
399C4×C11C2×#12118yes—
400Dic11—24no—
401Dic11—42no—
402Dic11—44no—
403C25—111no—
404C25—111no—
405C25—112no—
406C22×D4—114no—
407C22×D4—114no—
408C22×D4—118no—
409C22×D4—118no—
410C22×D4—224no—
411C22×D4—224no—
412C22×D4—228no—
413C22×D4—228no—
414C22×D4—228no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—224no—
419C22×D4—444no—
420C22×D4—444no—
421C22×D4—444no—
422C23×C4—111no—
423C23×C4—118no—
424C23×C4—114no—
425C23×C4—112no—
426C23×C4—111no—
427C23×C4—114no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1112yes—
435C23×C4C22×D1112yes—
436C23×C4C22×D1111yescharacteristic
437C23×C4C22×D1111yescharacteristic
438#121—2232no—
439#121—2232no—
440C4×D4—2232no—
441#117—2232no—
442C2×C4⋊C4—24no—
443C2×C4⋊C4—44no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—224no—
447C2×C4⋊C4—224no—
448C2×C4⋊C4D4418yescomplemented
449C2×C4⋊C4C22×D1114yes—
450C2×C4⋊C4C22×D1118yes—
451C2×C4⋊C4C22×D1114yes—
452C2×C22⋊C4—118no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—114no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—224no—
461C2×C22⋊C4—228no—
462C2×C22⋊C4—224no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—228no—
465C2×C22⋊C4—228no—
466C2×C22⋊C4—444no—
467C2×C22⋊C4—444no—
468C2×C42—24no—
469C2×C42—118no—
470C2×C42—228no—
471C2×C42C22×D1114yes—
472#95—118no—
473#95C22×D1118yes—
474C2×C11#241418yescomplemented
475C2×C11C22×#12111yescharacteristic
476C2×C11C2×#52511yescharacteristic
477C2×C11C2×#53511yescharacteristic
478C2×C11C2×#54611yescharacteristic
479C2×C11C2×#55011yescharacteristic
480C2×C11C2×#55311yescharacteristic
481C2×C11C2×#55511yescharacteristic
482D11—44no—
483D11—44no—
484D11—84no—
485C24—114no—
486C24—114no—
487C24—112no—
488C24—112no—
489C24—114no—
490C24—222no—
491C24—222no—
492C24—222no—
493C24—222no—
494C24—222no—
495C24—222no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—224no—
503C24—224no—
504C24—224no—
505C24—224no—
506C24—224no—
507C24—224no—
508C24—224no—
509C24C23×D1111yescharacteristic
510C2×D4—228no—
511C2×D4—228no—
512C2×D4—2232no—
513C2×D4—2216no—
514C2×D4—2216no—
515C2×D4—2216no—
516C2×D4—228no—
517C2×D4—228no—
518C2×D4—228no—
519C2×D4—228no—
520C2×D4—448no—
521C2×D4—448no—
522C2×D4—448no—
523C2×D4—4432no—
524C2×D4—4432no—
525C2×D4—4416no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—24no—
534C22×C4—22no—
535C22×C4—24no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—1116no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—2232no—
544C22×C4—228no—
545C22×C4—228no—
546C22×C4—224no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—224no—
550C22×C4—222no—
551C22×C4—224no—
552C22×C4—228no—
553C22×C4—228no—
554C22×C4—228no—
555C22×C4—4416no—
556C22×C4C2×D4418yes—
557C22×C4C2×D4414yes—
558C22×C4D4×D1114yes—
559C22×C4#434314yes—
560C22×C4#434314yes—
561C22×C4C23×D1114yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1114yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1112yes—
566C4⋊C4—28no—
567C4⋊C4—48no—
568C4⋊C4—228no—
569C4⋊C4—228no—
570C4⋊C4C2×D44116yescomplemented
571C22⋊C4—228no—
572C22⋊C4—2216no—
573C22⋊C4—228no—
574C22⋊C4—2216no—
575C22⋊C4—2216no—
576C22⋊C4—2216no—
577C22⋊C4—448no—
578C22⋊C4—448no—
579C42—28no—
580C42—2216no—
581C11C2×#241411yescharacteristic, complemented, Sylow
582C23—114no—
583C23—114no—
584C23—228no—
585C23—228no—
586C23—228no—
587C23—228no—
588C23—228no—
589C23—222no—
590C23—222no—
591C23—222no—
592C23—222no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23—222no—
599C23—222no—
600C23—222no—
601C23—228no—
602C23—224no—
603C23—224no—
604C23—224no—
605C23—224no—
606C23—224no—
607C23—224no—
608C23—224no—
609C23—444no—
610C23—444no—
611C23—444no—
612C23—444no—
613C23—444no—
614C23—444no—
615C23—444no—
616C23—444no—
617C23—448no—
618C23—448no—
619C23—448no—
620C23—448no—
621C23—448no—
622C23—448no—
623C23—448no—
624C23C22×D4412yes—
625C23C2×D4×D1112yes—
626C23#6703712yes—
627C23C2×#434312yes—
628C23C2×#434312yes—
629C23#41×D1112yes—
630C23#6704212yes—
631C23C24×D1111yescharacteristic
632D4—2232no—
633D4—4432no—
634D4—4432no—
635D4—4416no—
636C2×C4—216no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—114no—
651C2×C4—228no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—2232no—
655C2×C4—224no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—222no—
660C2×C4—224no—
661C2×C4—444no—
662C2×C4—448no—
663C2×C4—4416no—
664C2×C4#66948116yes—
665C2×C4C22×D4418yes—
666C2×C4C22×D4414yes—
667C2×C4C2×D4×D1114yes—
668C2×C4C2×#434314yes—
669C2×C4C2×#434314yes—
670C22—224no—
671C22—224no—
672C22—224no—
673C22—224no—
674C22—224no—
675C22—224no—
676C22—442no—
677C22—442no—
678C22—442no—
679C22—442no—
680C22—4416no—
681C22—4416no—
682C22—442no—
683C22—442no—
684C22—442no—
685C22—442no—
686C22—444no—
687C22—444no—
688C22—444no—
689C22—444no—
690C22—444no—
691C22—444no—
692C22—444no—
693C22—8816no—
694C22C2×#6694814yes—
695C22#1062308514yes—
696C22#1062310814yes—
697C22#1062313814yes—
698C22#1062315814yes—
699C22#1062322614yes—
700C22#1062326514yes—
701C22C23×D4411yescharacteristic
702C22C22×D4×D1111yescharacteristic
703C22C2×#6703711yescharacteristic
704C22C22×#434311yescharacteristic
705C22C22×#434311yescharacteristic
706C22C2×#41×D1111yescharacteristic
707C22C2×#6704211yescharacteristic
708C4—24no—
709C4—28no—
710C4—44no—
711C4—42no—
712C4—224no—
713C4—442no—
714C4—444no—
715C4C2×#6694818yes—
716C2—444no—
717C2—444no—
718C2—884no—
719C2#1307203218yesdirect product factor
720C2C22×#6694811yescharacteristic
721C2C2×#1062315811yescharacteristic
722C2C2×#1062313811yescharacteristic
723C2C2×#1062308511yescharacteristic
724C2C2×#1062310811yescharacteristic
725C2C2×#1062322611yescharacteristic
726C2C2×#1062326511yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#389C2
socleC24×C11C24
hypercenterC2×#389D11
hypocenterC11C2×#2414
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. C22×#66948C2semidirect
2. C22×#66948C2semidirect
3. C22×C4×D44C2semidirect
4. C22×#66945C2semidirect
5. #13072032C2direct (N × H)
6. C2×#10622604C2semidirect
7. C2×#10622284C2semidirect
8. C2×#10622552C2semidirect
9. C2×#10622601C2semidirect
10. C2×#10622283C2semidirect
11. C2×#10622600C2semidirect
12. C2×C11×#389C2semidirect
36. C2×#66948C22semidirect
37. C2×#66948C22semidirect
39. C2×#66945C22semidirect
41. C2×C4×D44C22semidirect
42. C11×#389C22semidirect
45. #10622604C22semidirect
46. #10622601C22semidirect
47. #10622600C22semidirect
48. #10622552C22semidirect
49. #10622284C22semidirect
50. #10622283C22semidirect
83. C22×C4×D11D4semidirect
88. C2×C11×C4⋊C4D4semidirect
203. C2×C4×D11C2×D4semidirect
206. C11×C4⋊C4C2×D4semidirect
228. C2×#389D11semidirect
352. #389C2×D11semidirect
448. C2×C4⋊C4D44semidirect
474. C2×C11#2414semidirect
570. C4⋊C4C2×D44semidirect
581. C11C2×#2414semidirect
719. C2#13072032direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C22×C4×D442
C22×#669452
#130720322
C2×#106226042
C2×#106222842
C2×#106225522
C2×#106226012
C2×#106222832
C2×#106226002
C2×C11×#3892
C2×#241411