Finite Group Databasebeta

← C2×#13071654 #14913326

Subgroups — C2×#13071654 #14913326

Order 2816.

4046 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66983C211yesmaximal, characteristic
2C22×#66946C211yesmaximal, characteristic, complemented
3#13071654C2116yesmaximal, direct product factor
4C2×#10622601C211yesmaximal, characteristic, complemented
5C2×#10622570C212yesmaximal, complemented
6C2×#10622586C211yesmaximal, characteristic, complemented
7C2×#10622553C212yesmaximal, complemented
8C2×#10622569C212yesmaximal, complemented
9C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
10C2×C4×(C2×D11)⋊C4C212yesmaximal, complemented
11C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
12C22×C11×#117C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11C2212yes—
15C23×D44C2211yescharacteristic
16C23×C4×D11C2212yes—
17C2×C11×#117—28no—
18C2×C11×#117C2218yescomplemented
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yes—
22C22×C42×C11C2212yes—
23C22×C22⋊Dic11C2211yescharacteristic
24C22×C22⋊Dic11C2211yescharacteristic
25C2×#66983C4116yescomplemented
26C2×#66983C2218yes—
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×C4⋊Dic11C2211yescharacteristic
32C22×Dic11⋊C4C2212yes—
33C22×C4×Dic11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2212yes—
36C2×#66946—28no—
37C2×#66946C2218yescomplemented
38C4×C22⋊Dic11C2218yescomplemented
39C2×C11⋊#95C2211yescharacteristic
40C2×C11⋊#95C2211yescharacteristic
41C2×C11⋊#95C2212yes—
42C2×C11⋊#95C2212yes—
43#10622601C2218yescomplemented
44C4⋊C4×Dic11C2218yescomplemented
45#10622586C2218yescomplemented
46#10622570C22116yescomplemented
47#10622569C22116yescomplemented
48#10622553C22116yescomplemented
49C4×(C2×D11)⋊C4C22116yescomplemented
50C25×C11C2311yescharacteristic
51C24×D11C2312yes—
52C23×C4×C11—24no—
53C23×C4×C11—24no—
54C23×C4×C11C2×C418yescomplemented
55C23×C4×C11C2312yes—
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2314yes—
58C23×C4×C11C2312yes—
59C23×C4×C11C2311yescharacteristic
60C22×C22⋊D11—44no—
61C22×C22⋊D11—44no—
62C22×C22⋊D11C2×C4116yescomplemented
63C22×C22⋊D11C2318yes—
64C23×Dic11C2311yescharacteristic
65C23×Dic11C2311yescharacteristic
66C23×Dic11C2312yes—
67C23×Dic11C2311yescharacteristic
68C23×Dic11C2311yescharacteristic
69C22×D44—24no—
70C22×D44—24no—
71C22×D44C2×C418yes—
72C22×D44C2314yes—
73C22×C4×D11—28no—
74C22×C4×D11—28no—
75C22×C4×D11—44no—
76C22×C4×D11C2318yes—
77C11×#117—232no—
78C2×C11×C4⋊C4—24no—
79C2×C11×C4⋊C4D418yescomplemented
80C2×C11×C4⋊C4C2314yes—
81C2×C11×C4⋊C4C2314yes—
82C2×C11×C22⋊C4—28no—
83C2×C11×C22⋊C4C2318yes—
84C2×C42×C11—28no—
85C2×C42×C11C2318yes—
86C2×C22⋊Dic11—24no—
87C2×C22⋊Dic11—24no—
88C2×C22⋊Dic11C2314yes—
89C2×C22⋊Dic11C2314yes—
90#66983C2×C4164yescomplemented
91C2×(C2×D11)⋊C4—28no—
92C2×(C2×D11)⋊C4—28no—
93C2×(C2×D11)⋊C4—44no—
94C2×(C2×D11)⋊C4C2×C4116yescomplemented
95C2×(C2×D11)⋊C4C2318yes—
96C2×(C2×D11)⋊C4C2318yes—
97C2×(C2×D11)⋊C4C2318yes—
98C2×(C2×D11)⋊C4C2318yes—
99C2×C4⋊Dic11C2×C418yescomplemented
100C2×C4⋊Dic11C2314yes—
101C2×Dic11⋊C4—44no—
102C2×Dic11⋊C4C2318yes—
103C2×C4×Dic11—24no—
104C2×C4×Dic11—24no—
105C2×C4×Dic11—44no—
106C2×C4×Dic11C2314yes—
107C2×C4×Dic11C2314yes—
108C2×C4×Dic11C2318yes—
109#66946—232no—
110C11⋊#95C2314yes—
111C11⋊#95C2318yes—
112C11⋊#95C2314yes—
113C11⋊#95C2318yes—
114C2×#2363—111nomaximal, Sylow
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11—22no—
121C24×C11C22×C414yes—
122C24×C11C2412yes—
123C24×C11C2411yescharacteristic
124C23×D11—24no—
125C23×D11—24no—
126C23×D11—24no—
127C23×D11—24no—
128C23×D11—24no—
129C23×D11—24no—
130C23×D11C22×C418yes—
131C23×D11C2414yes—
132C22×C4×C11—22no—
133C22×C4×C11—24no—
134C22×C4×C11—22no—
135C22×C4×C11—24no—
136C22×C4×C11—232no—
137C22×C4×C11—28no—
138C22×C4×C11—28no—
139C22×C4×C11—24no—
140C22×C4×C11—24no—
141C22×C4×C11—24no—
142C22×C4×C11C22×C414yes—
143C22×C4×C11C22×C414yes—
144C22×C4×C11C22×C4116yescomplemented
145C22×C4×C11C2×D418yes—
146C22×C4×C11C2×D414yes—
147C22×C4×C11#4114yes—
148C22×C4×C11C2414yes—
149C22×C4×C11C2412yes—
150C22×C4×C11C2414yes—
151C22×C4×C11C2412yes—
152C2×C22⋊D11—432no—
153C2×C22⋊D11—48no—
154C2×C22⋊D11—48no—
155C2×C22⋊D11C22×C4132yescomplemented
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—24no—
164C22×Dic11—24no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11C22×C418yes—
169C22×Dic11#4114yes—
170C22×Dic11#4114yes—
171C22×Dic11C2412yes—
172C22×Dic11C2412yes—
173C22×Dic11C2414yes—
174C22×Dic11C2412yes—
175C22×Dic11C2412yes—
176C2×D44—232no—
177C2×D44—28no—
178C2×D44—28no—
179C2×D44C22×C4116yes—
180C2×C4×D11—216no—
181C2×C4×D11—216no—
182C2×C4×D11—48no—
183C2×C4×D11—432no—
184C11×C4⋊C4—28no—
185C11×C4⋊C4C2×D4116yescomplemented
186C11×C22⋊C4—216no—
187C42×C11—216no—
188C22⋊Dic11—28no—
189C22⋊Dic11—28no—
190(C2×D11)⋊C4—216no—
191(C2×D11)⋊C4—216no—
192(C2×D11)⋊C4—48no—
193(C2×D11)⋊C4C22×C4132yescomplemented
194C4⋊Dic11C22×C4116yescomplemented
195Dic11⋊C4—48no—
196C4×Dic11—28no—
197C4×Dic11—28no—
198C4×Dic11—48no—
199C22×#121—111no—
200C22×C4×D4—111no—
201C22×#117D1111yescharacteristic, complemented
202#2363—1116no—
203C2×#390—111no—
204C2×#390—112no—
205C2×#389—111no—
206C2×#388—112no—
207C2×#386—112no—
208C2×C4×C4⋊C4—111no—
209C2×C4×C22⋊C4—112no—
210C2×C4×C22⋊C4—111no—
211C23×C11—28no—
212C23×C11—28no—
213C23×C11—28no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—22no—
220C23×C11—44no—
221C23×C11—44no—
222C23×C11—44no—
223C23×C11—44no—
224C23×C11C23×C414yes—
225C23×C11C23×C412yes—
226C23×C11C22×D412yes—
227C23×C11C2×#4112yes—
228C23×C11C2×#4112yes—
229C23×C11C2×#4112yes—
230C23×C11H(5,𝔽2)12yes—
231C23×C11H(5,𝔽2)12yes—
232C23×C11C2511yescharacteristic
233C22×D11—216no—
234C22×D11—216no—
235C22×D11—216no—
236C22×D11—24no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—48no—
243C22×D11—48no—
244C22×D11—48no—
245C22×D11—48no—
246C22×D11C23×C418yes—
247C2×C4×C11—28no—
248C2×C4×C11—216no—
249C2×C4×C11—22no—
250C2×C4×C11—24no—
251C2×C4×C11—22no—
252C2×C4×C11—24no—
253C2×C4×C11—232no—
254C2×C4×C11—24no—
255C2×C4×C11—24no—
256C2×C4×C11—24no—
257C2×C4×C11—48no—
258C2×C4×C11C4×D4116yes—
259C2×C4×C11C23×C414yes—
260C2×C4×C11C23×C414yes—
261C2×C4×C11C22×D418yes—
262C2×C4×C11C22×D414yes—
263C2×C4×C11C2×#4114yes—
264C22⋊D11—432no—
265C2×Dic11—216no—
266C2×Dic11—28no—
267C2×Dic11—28no—
268C2×Dic11—22no—
269C2×Dic11—22no—
270C2×Dic11—22no—
271C2×Dic11—24no—
272C2×Dic11—24no—
273C2×Dic11—22no—
274C2×Dic11—22no—
275C2×Dic11—22no—
276C2×Dic11—22no—
277C2×Dic11—22no—
278C2×Dic11—22no—
279C2×Dic11—22no—
280C2×Dic11—44no—
281C2×Dic11—44no—
282C2×Dic11C23×C418yes—
283C2×Dic11C2×#4114yes—
284C2×Dic11C2×#4114yes—
285D44—232no—
286C4×D11—432no—
287C23×D4—112no—
288C23×D4—111no—
289C24×C4—112no—
290C24×C4C2×D1111yescharacteristic
291C2×#121—118no—
292C2×#121—1116no—
293C2×C4×D4—118no—
294C2×C4×D4—228no—
295C2×#117—28no—
296C2×#117C2×D1118yescomplemented
297C22×C4⋊C4—111no—
298C22×C4⋊C4—112no—
299C22×C4⋊C4C2×D1111yescharacteristic
300C22×C4⋊C4C2×D1111yescharacteristic
301C22×C22⋊C4—112no—
302C22×C22⋊C4—111no—
303C22×C22⋊C4—111no—
304C22×C22⋊C4—112no—
305C22×C22⋊C4—112no—
306C22×C22⋊C4—112no—
307C22×C22⋊C4C2×D1112yes—
308C22×C42—111no—
309C22×C42—111no—
310C22×C42—112no—
311C22×C42C2×D1112yes—
312#390—118no—
313#390—1116no—
314#389—118no—
315#388—1116no—
316#386—1116no—
317C4×C4⋊C4—118no—
318C4×C22⋊C4—118no—
319C4×C22⋊C4—1116no—
320C2×#95—111no—
321C2×#95—112no—
322C2×#95—111no—
323C2×#95—112no—
324C22×C11—24no—
325C22×C11—24no—
326C22×C11—24no—
327C22×C11—416no—
328C22×C11—42no—
329C22×C11—42no—
330C22×C11—42no—
331C22×C11—42no—
332C22×C11C2×C4×D414yes—
333C22×C11C4×#4114yes—
334C22×C11#51814yes—
335C22×C11#54614yes—
336C22×C11#55014yes—
337C22×C11#55314yes—
338C22×C11#55514yes—
339C22×C11C24×C411yescharacteristic
340C22×C11C23×D411yescharacteristic
341C22×C11C22×#4111yescharacteristic
342C22×C11C22×#4111yescharacteristic
343C22×C11C22×#4111yescharacteristic
344C22×C11C2×H(5,𝔽2)11yescharacteristic
345C22×C11C2×H(5,𝔽2)11yescharacteristic
346C2×D11—28no—
347C2×D11—28no—
348C2×D11—28no—
349C2×D11—432no—
350C2×D11—44no—
351C2×D11—44no—
352C2×D11—44no—
353C2×D11—44no—
354C4×C11—24no—
355C4×C11—28no—
356C4×C11—44no—
357C4×C11C2×C4×D418yes—
358Dic11—28no—
359Dic11—24no—
360Dic11—24no—
361Dic11—42no—
362Dic11—42no—
363C25—112no—
364C25C22×D1111yescharacteristic
365C22×D4—1116no—
366C22×D4—118no—
367C22×D4—118no—
368C22×D4—114no—
369C22×D4—224no—
370C22×D4—224no—
371C22×D4—444no—
372C22×D4—444no—
373C23×C4—24no—
374C23×C4—24no—
375C23×C4—111no—
376C23×C4—112no—
377C23×C4—111no—
378C23×C4—111no—
379C23×C4—111no—
380C23×C4—118no—
381C23×C4—228no—
382C23×C4—228no—
383C23×C4—444no—
384C23×C4C4×D1118yescomplemented
385C23×C4C22×D1112yes—
386C23×C4C22×D1111yescharacteristic
387C23×C4C22×D1114yes—
388C23×C4C22×D1112yes—
389C23×C4C22×D1111yescharacteristic
390#121—1164no—
391C4×D4—2232no—
392#117—232no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—118no—
395C2×C4⋊C4—114no—
396C2×C4⋊C4—118no—
397C2×C4⋊C4—444no—
398C2×C4⋊C4C22⋊D1118yescomplemented
399C2×C4⋊C4C22×D1114yes—
400C2×C4⋊C4C22×D1114yes—
401C2×C22⋊C4—28no—
402C2×C22⋊C4—1116no—
403C2×C22⋊C4—118no—
404C2×C22⋊C4—114no—
405C2×C22⋊C4—114no—
406C2×C22⋊C4—118no—
407C2×C22⋊C4—118no—
408C2×C22⋊C4—118no—
409C2×C22⋊C4—228no—
410C2×C22⋊C4—224no—
411C2×C22⋊C4—224no—
412C2×C22⋊C4—228no—
413C2×C22⋊C4—444no—
414C2×C22⋊C4C22×D1118yes—
415C2×C42—28no—
416C2×C42—114no—
417C2×C42—114no—
418C2×C42—118no—
419C2×C42—224no—
420C2×C42—224no—
421C2×C42—444no—
422C2×C42C22×D1118yes—
423#95—114no—
424#95—118no—
425#95—114no—
426#95—118no—
427C2×C11—44no—
428C2×C11#236318yescomplemented
429C2×C11C22×C4×D411yescharacteristic
430C2×C11C2×C4×#4111yescharacteristic
431C2×C11C2×#51811yescharacteristic
432C2×C11C2×#54611yescharacteristic
433C2×C11C2×#55011yescharacteristic
434C2×C11C2×#55311yescharacteristic
435C2×C11C2×#55511yescharacteristic
436D11—48no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—118no—
444C24—114no—
445C24—224no—
446C24—224no—
447C24—224no—
448C24—224no—
449C24—224no—
450C24—224no—
451C24C2×C4×D1114yes—
452C24C23×D1112yes—
453C24C23×D1111yescharacteristic
454C2×D4—1132no—
455C2×D4—1116no—
456C2×D4—2232no—
457C2×D4—228no—
458C2×D4—228no—
459C2×D4—4432no—
460C2×D4—448no—
461C2×D4—448no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—232no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—118no—
473C22×C4—114no—
474C22×C4—114no—
475C22×C4—112no—
476C22×C4—114no—
477C22×C4—112no—
478C22×C4—112no—
479C22×C4—112no—
480C22×C4—2216no—
481C22×C4—222no—
482C22×C4—222no—
483C22×C4—224no—
484C22×C4—224no—
485C22×C4—222no—
486C22×C4—222no—
487C22×C4—222no—
488C22×C4—222no—
489C22×C4—222no—
490C22×C4—222no—
491C22×C4—222no—
492C22×C4—222no—
493C22×C4—2216no—
494C22×C4—448no—
495C22×C4—4432no—
496C22×C4C2×C4×D1114yes—
497C22×C4C2×C4×D1114yes—
498C22×C4C2×C4×D11116yescomplemented
499C22×C4#433914yes—
500C22×C4C2×C22⋊D1118yes—
501C22×C4C2×C22⋊D1114yes—
502C22×C4C23×D1114yes—
503C22×C4C23×D1112yes—
504C22×C4C23×D1114yes—
505C22×C4C23×D1112yes—
506C4⋊C4—28no—
507C4⋊C4—1116no—
508C4⋊C4—448no—
509C4⋊C4C2×C22⋊D11116yescomplemented
510C22⋊C4—216no—
511C22⋊C4—1132no—
512C22⋊C4—2216no—
513C22⋊C4—228no—
514C22⋊C4—228no—
515C22⋊C4—2216no—
516C22⋊C4—448no—
517C42—216no—
518C42—228no—
519C42—228no—
520C42—448no—
521C11C2×#236311yescharacteristic, complemented, Sylow
522C23—28no—
523C23—28no—
524C23—28no—
525C23—22no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—22no—
530C23—22no—
531C23—44no—
532C23—44no—
533C23—44no—
534C23—44no—
535C23—118no—
536C23—2216no—
537C23—2216no—
538C23—2216no—
539C23—224no—
540C23—224no—
541C23—224no—
542C23—224no—
543C23—224no—
544C23—224no—
545C23—448no—
546C23—448no—
547C23—448no—
548C23—448no—
549C23C22×C4×D1114yes—
550C23C22×C4×D1112yes—
551C23C2×#433912yes—
552C23#41×D1112yes—
553C23#41×D1112yes—
554C23#6704212yes—
555C23#6704212yes—
556C23C22×C22⋊D1112yes—
557C23C24×D1111yescharacteristic
558D4—2232no—
559D4—4432no—
560C2×C4—28no—
561C2×C4—216no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—232no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—48no—
571C2×C4—118no—
572C2×C4—114no—
573C2×C4—114no—
574C2×C4—2216no—
575C2×C4—228no—
576C2×C4—228no—
577C2×C4—222no—
578C2×C4—222no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—222no—
582C2×C4—222no—
583C2×C4—222no—
584C2×C4—222no—
585C2×C4—222no—
586C2×C4—222no—
587C2×C4—222no—
588C2×C4—222no—
589C2×C4—4432no—
590C2×C4—444no—
591C2×C4—444no—
592C2×C4C4×C22⋊D11116yes—
593C2×C4C22×C4×D1114yes—
594C2×C4C22×C4×D1114yes—
595C2×C4C2×#433914yes—
596C2×C4C22×C22⋊D1118yes—
597C2×C4C22×C22⋊D1114yes—
598C22—24no—
599C22—24no—
600C22—24no—
601C22—42no—
602C22—416no—
603C22—42no—
604C22—42no—
605C22—42no—
606C22—228no—
607C22—228no—
608C22—228no—
609C22—444no—
610C22—4432no—
611C22—444no—
612C22—444no—
613C22—444no—
614C22#1062305214yes—
615C22#1062305314yes—
616C22#1062306114yes—
617C22#1062306314yes—
618C22C2×C4×C22⋊D1114yes—
619C22#1062336014yes—
620C22#1062336514yes—
621C22C23×C4×D1111yescharacteristic
622C22C22×#433911yescharacteristic
623C22C2×#41×D1111yescharacteristic
624C22C2×#41×D1111yescharacteristic
625C22C2×#6704211yescharacteristic
626C22C2×#6704211yescharacteristic
627C22C23×C22⋊D1111yescharacteristic
628C4—24no—
629C4—28no—
630C4—44no—
631C4—224no—
632C4—228no—
633C4—224no—
634C4—442no—
635C4—442no—
636C4C2×C4×C22⋊D1118yes—
637C2—44no—
638C2—448no—
639C2#1307165418yesdirect product factor
640C2C22×C4×C22⋊D1111yescharacteristic
641C2C2×#1062305311yescharacteristic
642C2C2×#1062305211yescharacteristic
643C2C2×#1062336011yescharacteristic
644C2C2×#1062336511yescharacteristic
645C2C2×#1062306111yescharacteristic
646C2C2×#1062306311yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC22×C11×#117C2
socleC24×C11C24
prime radicalC22×#66983C2
cosocleC23×C11C25
hypercenterC22×#117D11
hypocenterC11C2×#2363
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
2. C22×#66946C2semidirect
3. #13071654C2direct (N × H)
4. C2×#10622601C2semidirect
5. C2×#10622570C2semidirect
6. C2×#10622586C2semidirect
7. C2×#10622553C2semidirect
8. C2×#10622569C2semidirect
9. C2×C4⋊C4×Dic11C2semidirect
10. C2×C4×(C2×D11)⋊C4C2semidirect
11. C2×C4×C22⋊Dic11C2semidirect
12. C22×C11×#117C2semidirect
18. C2×C11×#117C22semidirect
25. C2×#66983C4semidirect
37. C2×#66946C22semidirect
38. C4×C22⋊Dic11C22semidirect
43. #10622601C22semidirect
44. C4⋊C4×Dic11C22semidirect
45. #10622586C22semidirect
46. #10622570C22semidirect
47. #10622569C22semidirect
48. #10622553C22semidirect
49. C4×(C2×D11)⋊C4C22semidirect
54. C23×C4×C11C2×C4semidirect
62. C22×C22⋊D11C2×C4semidirect
79. C2×C11×C4⋊C4D4semidirect
90. #66983C2×C4semidirect
94. C2×(C2×D11)⋊C4C2×C4semidirect
99. C2×C4⋊Dic11C2×C4semidirect
144. C22×C4×C11C22×C4semidirect
155. C2×C22⋊D11C22×C4semidirect
185. C11×C4⋊C4C2×D4semidirect
193. (C2×D11)⋊C4C22×C4semidirect
194. C4⋊Dic11C22×C4semidirect
201. C22×#117D11semidirect
296. C2×#117C2×D11semidirect
384. C23×C4C4×D11semidirect
398. C2×C4⋊C4C22⋊D11semidirect
428. C2×C11#2363semidirect
498. C22×C4C2×C4×D11semidirect
509. C4⋊C4C2×C22⋊D11semidirect
521. C11C2×#2363semidirect
639. C2#13071654direct (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×#669462
#130716542
C2×#106226012
C2×#106225702
C2×#106225862
C2×#106225532
C2×#106225692
C2×C4⋊C4×Dic112
C2×C4×(C2×D11)⋊C42
C2×C4×C22⋊Dic112
C22×C11×#1172
C2×#236311