Finite Group Databasebeta

← C2×#13072034 #14922098

Subgroups — C2×#13072034 #14922098

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×#66983C211yesmaximal, characteristic, complemented
2C22×#66983C211yesmaximal, characteristic, complemented
3C22×#66979C211yesmaximal, characteristic, complemented
4#13072034C2116yesmaximal, direct product factor
5C2×#10622572C212yesmaximal, complemented
6C2×#10622836C212yesmaximal, complemented
7C2×#10622552C211yesmaximal, characteristic, complemented
8C2×#10622570C212yesmaximal, complemented
9C2×#10622541C211yesmaximal, characteristic, complemented
10C2×#10622603C212yesmaximal, complemented
11C2×#10622825C211yesmaximal, characteristic, complemented
12C22×C4×D4×C11C211yesmaximal, characteristic, complemented
13C23×D4×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C24×C4×C11C2211yescharacteristic
16C23×C22⋊D11C2212yes—
17C23×C22⋊D11C2212yes—
18C23×D44C2211yescharacteristic
19C2×C4×D4×C11—28no—
20C2×C4×D4×C11C2218yescomplemented
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C42×C11C2211yescharacteristic
25C22×C22⋊Dic11C2212yes—
26C22×C22⋊Dic11C2212yes—
27C2×#66983—28no—
28C2×#66983—28no—
29C2×#66983C2218yescomplemented
30C2×#66983C2218yescomplemented
31C22×(C2×D11)⋊C4C2212yes—
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×(C2×D11)⋊C4C2212yes—
35C2×#66979—28no—
36C2×#66979C2218yescomplemented
37C22×C4⋊Dic11C2211yescharacteristic
38C22×C4⋊Dic11C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40C22×Dic11⋊C4C2212yes—
41C22×C4×Dic11C2212yes—
42#10622836C22116yescomplemented
43#10622825C2218yescomplemented
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yes—
46#10622603C22116yescomplemented
47#10622572C22116yescomplemented
48#10622570C22116yescomplemented
49#10622552C2218yescomplemented
50#10622541C2218yescomplemented
51C25×C11C2311yescharacteristic
52C25×C11C2311yescharacteristic
53C24×D11C2312yes—
54C22×D4×C11—24no—
55C22×D4×C11—24no—
56C22×D4×C11—24no—
57C22×D4×C11C2314yes—
58C23×C4×C11—24no—
59C23×C4×C11—24no—
60C23×C4×C11—24no—
61C23×C4×C11—24no—
62C23×C4×C11—24no—
63C23×C4×C11D418yescomplemented
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2314yes—
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2314yes—
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11—28no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—28no—
74C22×C22⋊D11—44no—
75C22×C22⋊D11—44no—
76C22×C22⋊D11—44no—
77C22×C22⋊D11C2318yes—
78C22×C22⋊D11C2318yes—
79C23×Dic11C2312yes—
80C23×Dic11C2312yes—
81C23×Dic11C2312yes—
82C22×D44—24no—
83C22×D44—24no—
84C22×D44—24no—
85C22×D44C2314yes—
86C4×D4×C11—232no—
87C2×C11×C4⋊C4—24no—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—24no—
91C2×C11×C22⋊C4C2314yes—
92C2×C11×C22⋊C4C2314yes—
93C2×C42×C11—24no—
94C2×C42×C11C2314yes—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—44no—
97C2×C22⋊Dic11C2318yes—
98C2×C22⋊Dic11C2318yes—
99#66983—232no—
100#66983—232no—
101C2×(C2×D11)⋊C4—28no—
102C2×(C2×D11)⋊C4—28no—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—44no—
105C2×(C2×D11)⋊C4C2318yes—
106C2×(C2×D11)⋊C4C2318yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109#66979—232no—
110C2×C4⋊Dic11—24no—
111C2×C4⋊Dic11—24no—
112C2×C4⋊Dic11D418yescomplemented
113C2×C4⋊Dic11C2314yes—
114C2×C4⋊Dic11C2314yes—
115C2×C4⋊Dic11C2314yes—
116C2×Dic11⋊C4—44no—
117C2×Dic11⋊C4C2318yes—
118C2×C4×Dic11—28no—
119C2×C4×Dic11C2318yes—
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—22no—
130C24×C11—22no—
131C24×C11—22no—
132C24×C11—22no—
133C24×C11—22no—
134C24×C11—22no—
135C24×C11C2×D414yes—
136C24×C11#4114yes—
137C24×C11C2412yes—
138C24×C11C2412yes—
139C24×C11C2411yescharacteristic
140C23×D11—24no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—24no—
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—24no—
147C23×D11C2414yes—
148C2×D4×C11—232no—
149C2×D4×C11—28no—
150C2×D4×C11—28no—
151C2×D4×C11—28no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—22no—
156C22×C4×C11—232no—
157C22×C4×C11—28no—
158C22×C4×C11—28no—
159C22×C4×C11—22no—
160C22×C4×C11—22no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—22no—
165C22×C4×C11—28no—
166C22×C4×C11—28no—
167C22×C4×C11—28no—
168C22×C4×C11—416no—
169C22×C4×C11C2×D414yes—
170C22×C4×C11C2×D414yes—
171C22×C4×C11C2×D414yes—
172C22×C4×C11C2×D4116yescomplemented
173C22×C4×C11#4114yes—
174C22×C4×C11#4114yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2412yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2412yes—
180C2×C22⋊D11—216no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—216no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11—48no—
185C2×C22⋊D11—48no—
186C2×C22⋊D11—432no—
187C2×C22⋊D11—432no—
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11—24no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—24no—
194C22×Dic11—24no—
195C22×Dic11—24no—
196C22×Dic11C2×D418yes—
197C22×Dic11C2414yes—
198C22×Dic11C2414yes—
199C22×Dic11C2414yes—
200C2×D44—28no—
201C2×D44—28no—
202C2×D44—28no—
203C2×D44—416no—
204C11×C4⋊C4—28no—
205C11×C22⋊C4—28no—
206C11×C22⋊C4—28no—
207C42×C11—28no—
208C22⋊Dic11—216no—
209C22⋊Dic11—48no—
210(C2×D11)⋊C4—216no—
211(C2×D11)⋊C4—216no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4—48no—
214C4⋊Dic11—28no—
215C4⋊Dic11—28no—
216C4⋊Dic11C2×D4116yescomplemented
217Dic11⋊C4—48no—
218C4×Dic11—216no—
219C22×#121—111no—
220C22×#121—111no—
221C22×C4×D4D1111yescharacteristic, complemented
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—28no—
235C23×C11—28no—
236C23×C11—28no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—22no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—22no—
248C23×C11—22no—
249C23×C11—44no—
250C23×C11—44no—
251C23×C11—44no—
252C23×C11—44no—
253C23×C11—44no—
254C23×C11—44no—
255C23×C11—44no—
256C23×C11—44no—
257C23×C11C22×D412yes—
258C23×C11C22×D414yes—
259C23×C11C22×D412yes—
260C23×C11C2×#4114yes—
261C23×C11C2×#4112yes—
262C23×C11C2×#4112yes—
263C23×C11C2×#4112yes—
264C23×C11H(5,𝔽2)12yes—
265C23×C11H(5,𝔽2)12yes—
266C23×C11C2511yescharacteristic
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—24no—
272C22×D11—24no—
273C22×D11—24no—
274C22×D11—48no—
275C22×D11—48no—
276C22×D11—48no—
277C22×D11—48no—
278C22×D11—48no—
279C22×D11—48no—
280C22×D11—48no—
281D4×C11—232no—
282C2×C4×C11—28no—
283C2×C4×C11—28no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—232no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—44no—
296C2×C4×C11—44no—
297C2×C4×C11—416no—
298C2×C4×C11#121116yes—
299C2×C4×C11C22×D414yes—
300C2×C4×C11C22×D414yes—
301C2×C4×C11C22×D414yes—
302C2×C4×C11C2×#4114yes—
303C2×C4×C11C2×#4114yes—
304C22⋊D11—432no—
305C22⋊D11—432no—
306C2×Dic11—216no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—48no—
316C2×Dic11—48no—
317C2×Dic11C22×D418yes—
318D44—416no—
319C23×D4—112no—
320C23×D4—112no—
321C23×D4—111no—
322C23×D4C2×D1111yescharacteristic
323C24×C4C2×D1111yescharacteristic
324C24×C4C2×D1111yescharacteristic
325C2×#121—118no—
326C2×#121—118no—
327C2×#121—228no—
328C2×#121—228no—
329C2×C4×D4—28no—
330C2×C4×D4C2×D1118yescomplemented
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—112no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4C2×D1111yescharacteristic
345C22×C22⋊C4C2×D1111yescharacteristic
346C22×C42—112no—
347C22×C42C2×D1111yescharacteristic
348#394—1116no—
349#392—1116no—
350#390—1116no—
351#390—118no—
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—24no—
361C22×C11—24no—
362C22×C11—24no—
363C22×C11—42no—
364C22×C11—416no—
365C22×C11—416no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—42no—
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—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—24no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11C2×#12118yes—
400Dic11—28no—
401Dic11—44no—
402Dic11—44no—
403C25—112no—
404C25C22×D1111yescharacteristic
405C25C22×D1111yescharacteristic
406C22×D4—24no—
407C22×D4—24no—
408C22×D4—24no—
409C22×D4—118no—
410C22×D4—118no—
411C22×D4—114no—
412C22×D4—228no—
413C22×D4—228no—
414C22×D4—228no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—444no—
419C22×D4—444no—
420C22×D4—444no—
421C22×D4C22×D1114yes—
422C23×C4—24no—
423C23×C4—24no—
424C23×C4—24no—
425C23×C4—24no—
426C23×C4—24no—
427C23×C4—112no—
428C23×C4—112no—
429C23×C4—112no—
430C23×C4C22⋊D1118yescomplemented
431C23×C4C22×D1114yes—
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1114yes—
437C23×C4C22×D1111yescharacteristic
438#121—2232no—
439#121—2232no—
440C4×D4—232no—
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—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—118no—
455C2×C22⋊C4—118no—
456C2×C22⋊C4—118no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—118no—
459C2×C22⋊C4—118no—
460C2×C22⋊C4—228no—
461C2×C22⋊C4—228no—
462C2×C22⋊C4—228no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—444no—
465C2×C22⋊C4—444no—
466C2×C22⋊C4C22×D1114yes—
467C2×C22⋊C4C22×D1114yes—
468C2×C42—24no—
469C2×C42—118no—
470C2×C42—228no—
471C2×C42C22×D1114yes—
472#95—118no—
473#95—118no—
474C2×C11—44no—
475C2×C11—44no—
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—84no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—114no—
498C24—224no—
499C24—224no—
500C24—224no—
501C24—224no—
502C24—224no—
503C24—224no—
504C24—224no—
505C24#433914yes—
506C24C2×C22⋊D1114yes—
507C24C23×D1112yes—
508C24C23×D1112yes—
509C24C23×D1111yescharacteristic
510C2×D4—232no—
511C2×D4—28no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—2216no—
515C2×D4—2216no—
516C2×D4—2216no—
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—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—232no—
531C22×C4—28no—
532C22×C4—28no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—28no—
540C22×C4—28no—
541C22×C4—28no—
542C22×C4—416no—
543C22×C4—118no—
544C22×C4—114no—
545C22×C4—114no—
546C22×C4—114no—
547C22×C4—224no—
548C22×C4—224no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—224no—
552C22×C4—224no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4#433914yes—
556C22×C4D4×D1114yes—
557C22×C4#434114yes—
558C22×C4C2×C22⋊D1114yes—
559C22×C4C2×C22⋊D1114yes—
560C22×C4C2×C22⋊D11116yescomplemented
561C22×C4C23×D1112yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1112yes—
564C22×C4C23×D1112yes—
565C22×C4C23×D1112yes—
566C4⋊C4—28no—
567C4⋊C4—1116no—
568C4⋊C4—228no—
569C4⋊C4—228no—
570C4⋊C4—448no—
571C22⋊C4—28no—
572C22⋊C4—28no—
573C22⋊C4—2216no—
574C22⋊C4—2216no—
575C22⋊C4—2216no—
576C22⋊C4—2216no—
577C22⋊C4—448no—
578C22⋊C4—448no—
579C42—28no—
580C42—2216no—
581C11C2×#241411yescharacteristic, complemented, Sylow
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—224no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—448no—
616C23—448no—
617C23—448no—
618C23—448no—
619C23—448no—
620C23—448no—
621C23—448no—
622C23C2×#433914yes—
623C23C2×#433912yes—
624C23C2×#433912yes—
625C23C2×D4×D1112yes—
626C23C2×#434112yes—
627C23#6704212yes—
628C23#6704212yes—
629C23C22×C22⋊D1114yes—
630C23C22×C22⋊D1112yes—
631C23C24×D1111yescharacteristic
632D4—232no—
633D4—4432no—
634D4—4432no—
635D4—4416no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—232no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—416no—
652C2×C4—118no—
653C2×C4—2216no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—448no—
663C2×C4—448no—
664C2×C4#66992116yes—
665C2×C4C2×#433914yes—
666C2×C4C2×D4×D1114yes—
667C2×C4C2×#434114yes—
668C2×C4C22×C22⋊D1114yes—
669C2×C4C22×C22⋊D1114yes—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—24no—
674C22—24no—
675C22—24no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—416no—
681C22—416no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—444no—
687C22—444no—
688C22—444no—
689C22—444no—
690C22—444no—
691C22—444no—
692C22—444no—
693C22—8816no—
694C22#1062308114yes—
695C22#1062308414yes—
696C22#1062309414yes—
697C22#1062309614yes—
698C22#1062332214yes—
699C22C2×#6699214yes—
700C22#1062336114yes—
701C22C22×#433911yescharacteristic
702C22C22×#433911yescharacteristic
703C22C22×D4×D1111yescharacteristic
704C22C22×#434111yescharacteristic
705C22C2×#6704211yescharacteristic
706C22C2×#6704211yescharacteristic
707C22C23×C22⋊D1111yescharacteristic
708C4—24no—
709C4—24no—
710C4—42no—
711C4—42no—
712C4—228no—
713C4—444no—
714C4—444no—
715C4C2×#6699218yes—
716C2—44no—
717C2—44no—
718C2—884no—
719C2#1307203418yesdirect product factor
720C2C22×#6699211yescharacteristic
721C2C2×#1062332211yescharacteristic
722C2C2×#1062336111yescharacteristic
723C2C2×#1062308111yescharacteristic
724C2C2×#1062308411yescharacteristic
725C2C2×#1062309611yescharacteristic
726C2C2×#1062309411yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC22×C4×D4×C11C2
socleC24×C11C24
hypercenterC22×C4×D4D11
hypocenterC11C2×#2414
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×#66983C2semidirect
2. C22×#66983C2semidirect
3. C22×#66979C2semidirect
4. #13072034C2direct (N × H)
5. C2×#10622572C2semidirect
6. C2×#10622836C2semidirect
7. C2×#10622552C2semidirect
8. C2×#10622570C2semidirect
9. C2×#10622541C2semidirect
10. C2×#10622603C2semidirect
11. C2×#10622825C2semidirect
12. C22×C4×D4×C11C2semidirect
20. C2×C4×D4×C11C22semidirect
29. C2×#66983C22semidirect
30. C2×#66983C22semidirect
36. C2×#66979C22semidirect
42. #10622836C22semidirect
43. #10622825C22semidirect
46. #10622603C22semidirect
47. #10622572C22semidirect
48. #10622570C22semidirect
49. #10622552C22semidirect
50. #10622541C22semidirect
63. C23×C4×C11D4semidirect
112. C2×C4⋊Dic11D4semidirect
172. C22×C4×C11C2×D4semidirect
216. C4⋊Dic11C2×D4semidirect
221. C22×C4×D4D11semidirect
330. C2×C4×D4C2×D11semidirect
430. C23×C4C22⋊D11semidirect
476. C2×C11#2414semidirect
560. C22×C4C2×C22⋊D11semidirect
581. C11C2×#2414semidirect
719. C2#13072034direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669832
C22×#669792
#130720342
C2×#106225722
C2×#106228362
C2×#106225522
C2×#106225702
C2×#106225412
C2×#106226032
C2×#106228252
C22×C4×D4×C112
C2×#241411