Finite Group Databasebeta

← C2×#20287577 #28264517

Subgroups — C2×#20287577 #28264517

Order 13568.

1918 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811332C211yesmaximal, characteristic, complemented
2C2×#16811329C211yesmaximal, characteristic, complemented
3#20287577C2116yesmaximal, direct product factor
4C2×#16811027C211yesmaximal, characteristic, complemented
5C2×#16811023C211yesmaximal, characteristic, complemented
6C2×#16811022C211yesmaximal, characteristic, complemented
7C2×#16810926C211yesmaximal, characteristic, complemented
8C2×#16810924C211yesmaximal, characteristic, complemented
9C2×#16810921C211yesmaximal, characteristic, complemented
10C2×#16810912C211yesmaximal, characteristic, complemented
11C2×#16810911C211yesmaximal, characteristic, complemented
12C2×#16810747C211yesmaximal, characteristic, complemented
13C2×C4×#11719922C211yesmaximal, characteristic
14C2×#16810703C211yesmaximal, characteristic
15C2×#16810703C211yesmaximal, characteristic
16C2×C53×#478C211yesmaximal, characteristic, complemented
17C22×#11719922C2211yescharacteristic
18#16811332—24no—
19#16811332C2218yescomplemented
20#16811329—24no—
21#16811329C2218yescomplemented
22C2×#13133216C2211yescharacteristic
23C2×#13133216C2211yescharacteristic
24C2×#13133209C2211yescharacteristic
25C2×#13133208C2211yescharacteristic
26C2×#13133208C2211yescharacteristic
27C2×#13133197—21no—
28C2×#13133196—21no—
29C2×#13133195—21no—
30C2×#13133195—21no—
31C2×#13133194—21no—
32C2×#13133194—21no—
33C2×C4×Dic106C2211yescharacteristic
34C2×C4×D212C2211yescharacteristic
35C2×D4×Dic53C2211yescharacteristic
36C2×D4×Dic53C2211yescharacteristic
37C2×#13133179C2211yescharacteristic
38C2×#13133179C2211yescharacteristic
39C22×#11719919—21no—
40C2×C4⋊C4×D53—21no—
41#16811027C2218yescomplemented
42#16811023C2218yescomplemented
43#16811022C2218yescomplemented
44#16810926C2218yescomplemented
45#16810924C2218yescomplemented
46#16810921C2218yescomplemented
47#16810912C2218yescomplemented
48#16810911C2218yescomplemented
49#16810747C2218yescomplemented
50C4×#11719922C2218yes—
51#16810703C2218yes—
52#16810703C2218yes—
53C2×#13133151C2211yescharacteristic
54C2×#13133150C2211yescharacteristic
55C2×#13133150C2211yescharacteristic
56C2×#13133150C2211yescharacteristic
57C2×#13133149C2211yescharacteristic
58C2×#13133148C2211yescharacteristic
59C2×#13133148C2211yescharacteristic
60C2×#13133146C2211yescharacteristic
61C2×#13133146C2211yescharacteristic
62C2×#13133139C2211yescharacteristic
63C2×#13133139C2211yescharacteristic
64C2×#13133138C2211yescharacteristic
65C2×#13133137C2211yescharacteristic
66C2×C4×#88322C2211yescharacteristic
67C2×C8×Dic53C2211yescharacteristic
68C2×C8×Dic53C2211yescharacteristic
69C2×#125×C53C2211yescharacteristic
70C2×C4×D4×C53C2211yescharacteristic
71C53×#478C2218yescomplemented
72C2×#107×C53C2211yescharacteristic
73C2×#106×C53C2211yescharacteristic
74C2×C4⋊C8×C53C2211yescharacteristic
75C2×#102×C53C2211yescharacteristic
76C2×#102×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106—21no—
79C22×Dic106D411yescharacteristic
80C22×D212C2311yescharacteristic
81C23×Dic53—21no—
82C23×Dic53—21no—
83C22×C4×D53—21no—
84C22×C4×D53—21no—
85C22×C4×D53—21no—
86C2×#11719922Q818yescomplemented
87C2×#11719922C2314yes—
88C22×#88322C2311yescharacteristic
89C22×#88322C2311yescharacteristic
90#13133216—22no—
91#13133216—22no—
92#13133216C2314yes—
93#13133216C2314yes—
94#13133209—22no—
95#13133209C2314yes—
96#13133208—22no—
97#13133208—22no—
98#13133208C2314yes—
99#13133208C2314yes—
100#13133197—28no—
101#13133196—28no—
102#13133195—28no—
103#13133195—28no—
104#13133194—28no—
105#13133194—28no—
106C4×Dic106D414yes—
107C4×Dic106C2314yes—
108C4×D212—22no—
109C4×D212C2314yes—
110D4×Dic53—22no—
111D4×Dic53—22no—
112D4×Dic53C2314yes—
113D4×Dic53C2314yes—
114#13133179—22no—
115#13133179—22no—
116#13133179C2314yes—
117#13133179C2314yes—
118C2×C4⋊Dic53—21no—
119C2×C4⋊Dic53—21no—
120C2×C4⋊Dic53D411yescharacteristic
121C2×C4⋊Dic53C2311yescharacteristic
122C2×C4⋊Dic53C2311yescharacteristic
123C2×C4⋊Dic53C2311yescharacteristic
124C2×#11719919—28no—
125C2×#11719919—21no—
126C2×#11719919—21no—
127C2×#11719919—21no—
128C2×#11719919—21no—
129C2×#11719919—21no—
130C2×#11719919—21no—
131C2×#11719919D411yescharacteristic
132C2×#11719919D411yescharacteristic
133C4⋊C4×D53—28no—
134C2×C22⋊Dic53—21no—
135C2×C22⋊Dic53—21no—
136C2×#11719921—21no—
137C2×#11719921—21no—
138C2×#11719921—21no—
139C2×C4×Dic53C2311yescharacteristic
140C2×C4×Dic53C2311yescharacteristic
141#13133151C2314yes—
142#13133150C2314yes—
143#13133150C2314yes—
144#13133150C2314yes—
145#13133149C2314yes—
146#13133148C2314yes—
147#13133148C2314yes—
148#13133146C2314yes—
149#13133146C2314yes—
150#13133139C2314yes—
151#13133139C2314yes—
152#13133138C2314yes—
153#13133137C2314yes—
154C4×#88322C2314yes—
155C8×Dic53C2314yes—
156C8×Dic53C2314yes—
157C22×D4×C53C2311yescharacteristic
158C23×C4×C53—21no—
159C22×C8×C53C2311yescharacteristic
160C22×C8×C53C2311yescharacteristic
161#125×C53—22no—
162#125×C53C2314yes—
163C4×D4×C53—22no—
164C4×D4×C53C2314yes—
165C2×C4⋊C4×C53—21no—
166C2×C4⋊C4×C53—21no—
167C2×C4⋊C4×C53C2311yescharacteristic
168C2×C4⋊C4×C53C2311yescharacteristic
169C2×C4⋊C4×C53C2311yescharacteristic
170C2×C22⋊C4×C53—21no—
171C2×C42×C53C2311yescharacteristic
172#107×C53C2314yes—
173#106×C53C2314yes—
174C4⋊C8×C53C2314yes—
175#102×C53C2314yes—
176#102×C53C2314yes—
177C24×C53—21no—
178C23×D53—21no—
179C2×D4×C53—21no—
180C2×D4×C53—22no—
181C2×D4×C53C2×Q814yes—
182C2×D4×C53C2412yes—
183C22×C4×C53—21no—
184C22×C4×C53—21no—
185C22×C4×C53—21no—
186C22×C4×C53—24no—
187C22×C4×C53—82no—
188C22×C4×C53C2×D411yescharacteristic
189C22×C4×C53C2×D411yescharacteristic
190C22×C4×C53C2411yescharacteristic
191C22×Dic53—21no—
192C22×Dic53—21no—
193C22×Dic53—21no—
194C22×Dic53—24no—
195C22×Dic53—24no—
196C22×Dic53—44no—
197C22×Dic53—82no—
198C22×Dic53C2×D411yescharacteristic
199C22×Dic53C2×D411yescharacteristic
200C22×Dic53C2×D411yescharacteristic
201C22×Dic53C2×D411yescharacteristic
202C2×D212—21no—
203C2×D212—22no—
204C2×D212C2×Q814yes—
205C2×D212C2412yes—
206C2×C4×D53—24no—
207C2×C4×D53—24no—
208C2×C4×D53—24no—
209C2×C4×D53—44no—
210C2×C4×D53—82no—
211C2×C4×D53—82no—
212C2×Dic106—24no—
213C2×Dic106—24no—
214C2×Dic106—24no—
215C2×Dic106—82no—
216C2×Dic106—82no—
217C2×Dic106C2×D414yes—
218C2×C8×C53—22no—
219C2×C8×C53—22no—
220C2×C8×C53C2412yes—
221C2×C8×C53C2412yes—
222C4⋊C4×C53—24no—
223C4⋊C4×C53—24no—
224C4⋊C4×C53—21no—
225C4⋊C4×C53—21no—
226C4⋊C4×C53—21no—
227C4⋊C4×C53C2412yes—
228C4⋊C4×C53C2412yes—
229C4⋊C4×C53C2412yes—
230C22⋊C4×C53—24no—
231C42×C53C2×D412yes—
232C42×C53C2412yes—
233C22⋊Dic53—24no—
234C22⋊Dic53—24no—
235#11719922C2×Q8116yescomplemented
236#11719921—24no—
237#11719921—24no—
238#11719921—24no—
239C4⋊Dic53—21no—
240C4⋊Dic53—21no—
241C4⋊Dic53—21no—
242C4⋊Dic53—24no—
243C4⋊Dic53—24no—
244C4⋊Dic53C2×D414yes—
245C4⋊Dic53C2412yes—
246C4⋊Dic53C2412yes—
247C4⋊Dic53C2412yes—
248#11719919—24no—
249#11719919—24no—
250#11719919—24no—
251#11719919—24no—
252#11719919—24no—
253#11719919—24no—
254#11719919C2×D414yes—
255#11719919C2×D414yes—
256C4×Dic53C2×D412yes—
257C4×Dic53C2×D412yes—
258C4×Dic53C2412yes—
259C4×Dic53C2412yes—
260C2×#88322—22no—
261C2×#88322C2×Q814yes—
262C2×#88322C2412yes—
263C2×#88322C2412yes—
264C23×C53—24no—
265C23×C53—22no—
266C23×C53—42no—
267C23×C53—42no—
268C23×C53C22×D411yescharacteristic
269C22×D53—24no—
270C22×D53—22no—
271C22×D53—42no—
272C22×D53—42no—
273D4×C53—24no—
274D4×C53—22no—
275D4×C53C22×Q814yes—
276C2×C4×C53—22no—
277C2×C4×C53—22no—
278C2×C4×C53—22no—
279C2×C4×C53—22no—
280C2×C4×C53—22no—
281C2×C4×C53—42no—
282C2×C4×C53—42no—
283C2×C4×C53—42no—
284C2×C4×C53—84no—
285C2×C4×C53C22×D412yes—
286C2×C4×C53C22×D412yes—
287C2×C4×C53C22×D411yescharacteristic
288C2×C4×C53C22×Q812yes—
289C2×C4×C532−1+412yes—
290C2×C4×C53C2511yescharacteristic
291C2×Dic53—22no—
292C2×Dic53—22no—
293C2×Dic53—22no—
294C2×Dic53—22no—
295C2×Dic53—22no—
296C2×Dic53—22no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—48no—
301C2×Dic53—84no—
302C2×Dic53#13514yes—
303C2×Dic53C22×D412yes—
304C2×Dic53C22×D412yes—
305C2×Dic53C22×D412yes—
306C2×Dic53C22×D412yes—
307D212—24no—
308D212—22no—
309D212C22×Q814yes—
310C4×D53—48no—
311C4×D53—84no—
312C4×D53—84no—
313Dic106—28no—
314Dic106—84no—
315Dic106—84no—
316C8×C53—22no—
317C8×C53—22no—
318#88322—22no—
319#88322C22×Q814yes—
320C2×#3380—531nomaximal, Sylow
321C22×C53—24no—
322C22×C53—48no—
323C22×C53—42no—
324C22×C53—42no—
325C22×C53D4×Q812yes—
326C22×C53C2×#13512yes—
327C22×C53#57612yes—
328C22×C53C23×D411yescharacteristic
329C2×D53—24no—
330C2×D53—48no—
331C2×D53—42no—
332C2×D53—42no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53—42no—
336C4×C53—42no—
337C4×C53—42no—
338C4×C53D4×Q812yes—
339C4×C53C23×Q811yescharacteristic
340C4×C53C2×2−1+411yescharacteristic
341Dic53—22no—
342Dic53—22no—
343Dic53—22no—
344Dic53—42no—
345Dic53—42no—
346Dic53—42no—
347Dic53C2×#13514yes—
348C2×#554—531no—
349C2×#554—531no—
350#3380—5316no—
351C2×#500—531no—
352C2×#499—531no—
353C2×#499—531no—
354C2×#478—531no—
355C2×#478—531no—
356C2×#478—531no—
357C2×#478D5311yescharacteristic, complemented
358C2×#476—531no—
359C2×#476—531no—
360C2×C8×Q8—531no—
361C2×C4×D8—531no—
362C2×C4×D8—531no—
363C2×C4×D8—531no—
364C2×C53—44no—
365C2×C53#338014yescomplemented
366C2×C53C2×D4×Q811yescharacteristic
367C2×C53C22×#13511yescharacteristic
368C2×C53C2×#57611yescharacteristic
369D53—44no—
370C22×D8—531no—
371#554—538no—
372#554—538no—
373#554—1064no—
374#554—1064no—
375C2×C4⋊Q8—531no—
376C2×C4⋊Q8—531no—
377C2×#125—531no—
378C2×#125—531no—
379C2×#125—531no—
380C2×#125C2×D5311yescharacteristic
381C2×C22⋊Q8—1061no—
382C2×C22⋊Q8—1061no—
383C2×C22⋊Q8—1061no—
384C2×C22⋊Q8—1061no—
385C2×C22⋊Q8—1061no—
386C2×C22⋊Q8—1061no—
387C2×C4×Q8—531no—
388C2×C4×D4—531no—
389C2×C4×D4—531no—
390C2×C4×D4—531no—
391C2×C4×D4—531no—
392C2×C4×D4—531no—
393C2×C4×D4C2×D5311yescharacteristic
394C22×C4⋊C4—1061no—
395C22×C4⋊C4—1061no—
396#500—538no—
397#499—538no—
398#499—538no—
399#478—538no—
400#478—538no—
401#478—538no—
402#478C2×D5318yescomplemented
403#476—538no—
404#476—538no—
405C8×Q8—538no—
406C4×D8—538no—
407C4×D8—538no—
408C4×D8—538no—
409C2×#107—531no—
410C2×#107—531no—
411C2×#107—531no—
412C2×#107—531no—
413C2×#107C2×D5311yescharacteristic
414C2×#106—531no—
415C2×#106—531no—
416C2×#106—531no—
417C2×#106C2×D5311yescharacteristic
418C2×C4⋊C8—531no—
419C2×C4⋊C8—531no—
420C2×C4⋊C8C2×D5311yescharacteristic
421C2×#102—531no—
422C2×#102—531no—
423C2×#102—531no—
424C2×#102—531no—
425C2×#102C2×D5311yescharacteristic
426C2×#102C2×D5311yescharacteristic
427C2×C4×C8—531no—
428C2×C4×C8—531no—
429C2×C4×C8—531no—
430C53C2×#338011yescharacteristic, complemented, Sylow
431C22×Q8—531no—
432C22×Q8—1061no—
433C22×Q8—1061no—
434C22×D4—531no—
435C22×D4C22×D5311yescharacteristic
436C23×C4—21no—
437C23×C4—1061no—
438C23×C4—1061no—
439C23×C4—1061no—
440C23×C4—1061no—
441C23×C4—1061no—
442C2×D8—538no—
443C2×D8—534no—
444C22×C8—531no—
445C22×C8—531no—
446C22×C8C22×D5311yescharacteristic
447C22×C8C22×D5311yescharacteristic
448C4⋊Q8—534no—
449C4⋊Q8—534no—
450C4⋊Q8—1062no—
451C4⋊Q8—1062no—
452#125—22no—
453#125—534no—
454#125—534no—
455#125—534no—
456#125—1062no—
457#125—1062no—
458#125—1062no—
459#125C22×D5314yes—
460C22⋊Q8—1068no—
461C22⋊Q8—1068no—
462C22⋊Q8—1068no—
463C22⋊Q8—1068no—
464C22⋊Q8—1068no—
465C22⋊Q8—1068no—
466C4×Q8—534no—
467C4×Q8—534no—
468C4×D4—22no—
469C4×D4—534no—
470C4×D4—534no—
471C4×D4—534no—
472C4×D4—534no—
473C4×D4—534no—
474C4×D4—1062no—
475C4×D4—1062no—
476C4×D4—1062no—
477C4×D4—1062no—
478C4×D4—1062no—
479C4×D4C22×D5314yes—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—531no—
483C2×C4⋊C4—531no—
484C2×C4⋊C4—531no—
485C2×C4⋊C4—531no—
486C2×C4⋊C4—531no—
487C2×C4⋊C4—531no—
488C2×C4⋊C4—1068no—
489C2×C4⋊C4—1068no—
490C2×C4⋊C4—1061no—
491C2×C4⋊C4—1061no—
492C2×C4⋊C4—1061no—
493C2×C4⋊C4—1061no—
494C2×C4⋊C4—1061no—
495C2×C4⋊C4—1061no—
496C2×C4⋊C4—1061no—
497C2×C4⋊C4—1061no—
498C2×C4⋊C4C22×D5311yescharacteristic
499C2×C4⋊C4C22×D5311yescharacteristic
500C2×C4⋊C4C22×D5311yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—1061no—
503C2×C22⋊C4—1061no—
504C2×C22⋊C4—1061no—
505C2×C22⋊C4—1061no—
506C2×C22⋊C4—1061no—
507C2×C42—531no—
508C2×C42—531no—
509C2×C42C22×D5311yescharacteristic
510#107—534no—
511#107—534no—
512#107—534no—
513#107—534no—
514#107C22×D5314yes—
515#106—534no—
516#106—534no—
517#106—534no—
518#106C22×D5314yes—
519C4⋊C8—534no—
520C4⋊C8—534no—
521C4⋊C8C22×D5314yes—
522#102—534no—
523#102—534no—
524#102—534no—
525#102—534no—
526#102C22×D5314yes—
527#102C22×D5314yes—
528C4×C8—534no—
529C4×C8—534no—
530C4×C8—534no—
531C24—21no—
532C24—1061no—
533C2×Q8—534no—
534C2×Q8—1064no—
535C2×Q8—1064no—
536C2×Q8—1064no—
537C2×Q8—4242no—
538C2×Q8—4242no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—534no—
542C2×D4—532no—
543C2×D4—1061no—
544C2×D4—1062no—
545C2×D4Q8×D5314yes—
546C2×D4C23×D5312yes—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—82no—
552C22×C4—531no—
553C22×C4—531no—
554C22×C4—531no—
555C22×C4—531no—
556C22×C4—1064no—
557C22×C4—1064no—
558C22×C4—1064no—
559C22×C4—1064no—
560C22×C4—1061no—
561C22×C4—1061no—
562C22×C4—1061no—
563C22×C4—1064no—
564C22×C4—4242no—
565C22×C4—4242no—
566C22×C4—4242no—
567C22×C4—2124no—
568C22×C4—2124no—
569C22×C4D4×D5311yescharacteristic
570C22×C4D4×D5311yescharacteristic
571C22×C4C23×D5311yescharacteristic
572D8—5316no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—534no—
576C2×C8—532no—
577C2×C8—532no—
578C2×C8—1062no—
579C2×C8C23×D5312yes—
580C2×C8C23×D5312yes—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—534no—
587C4⋊C4—534no—
588C4⋊C4—534no—
589C4⋊C4—532no—
590C4⋊C4—532no—
591C4⋊C4—532no—
592C4⋊C4—1064no—
593C4⋊C4—1064no—
594C4⋊C4—1064no—
595C4⋊C4—1064no—
596C4⋊C4—1064no—
597C4⋊C4—1064no—
598C4⋊C4—1061no—
599C4⋊C4—1061no—
600C4⋊C4—1061no—
601C4⋊C4—1064no—
602C4⋊C4—1064no—
603C4⋊C4C23×D5312yes—
604C4⋊C4C23×D5312yes—
605C4⋊C4C23×D5312yes—
606C22⋊C4—24no—
607C22⋊C4—1064no—
608C22⋊C4—1064no—
609C22⋊C4—1064no—
610C22⋊C4—1064no—
611C22⋊C4—1064no—
612C42—532no—
613C42—532no—
614C42—532no—
615C42—532no—
616C42D4×D5312yes—
617C42C23×D5312yes—
618C23—24no—
619C23—22no—
620C23—42no—
621C23—42no—
622C23—1064no—
623C23—1062no—
624C23—2122no—
625C23—2122no—
626C23C2×D4×D5311yescharacteristic
627Q8—1068no—
628Q8—4244no—
629Q8—4244no—
630D4—24no—
631D4—22no—
632D4—534no—
633D4—1064no—
634D4—1062no—
635D4C2×Q8×D5314yes—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—84no—
645C2×C4—534no—
646C2×C4—532no—
647C2×C4—532no—
648C2×C4—532no—
649C2×C4—532no—
650C2×C4—1062no—
651C2×C4—1062no—
652C2×C4—1062no—
653C2×C4—1062no—
654C2×C4—1062no—
655C2×C4—1062no—
656C2×C4—4244no—
657C2×C4—4244no—
658C2×C4—4244no—
659C2×C4—2128no—
660C2×C4—2128no—
661C2×C4—2122no—
662C2×C4—2122no—
663C2×C4—2122no—
664C2×C4C2×D4×D5312yes—
665C2×C4C2×D4×D5312yes—
666C2×C4C2×D4×D5311yescharacteristic
667C2×C4C2×Q8×D5312yes—
668C2×C4#1313326412yes—
669C2×C4C24×D5311yescharacteristic
670C8—22no—
671C8—22no—
672C8—534no—
673C8—1062no—
674C22—24no—
675C22—48no—
676C22—42no—
677C22—42no—
678C22—1064no—
679C22—2128no—
680C22—2122no—
681C22—2122no—
682C22#1681128612yes—
683C22#135×D5312yes—
684C22#1681142712yes—
685C22C22×D4×D5311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—534no—
692C4—1062no—
693C4—1062no—
694C4—1062no—
695C4—2122no—
696C4—2122no—
697C4—2122no—
698C4#1681128612yes—
699C4C22×Q8×D5311yescharacteristic
700C4C2×#1313326411yescharacteristic
701C2—44no—
702C2—2124no—
703C2#2028757714yesdirect product factor
704C2C2×#1681128611yescharacteristic
705C2C2×#135×D5311yescharacteristic
706C2C2×#1681142711yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#478C2
socleC23×C53C22×D4
prime radicalC22×#11719922C22
hypercenterC2×#478D53
hypocenterC53C2×#3380
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#16811332C2semidirect
2. C2×#16811329C2semidirect
3. #20287577C2direct (N × H)
4. C2×#16811027C2semidirect
5. C2×#16811023C2semidirect
6. C2×#16811022C2semidirect
7. C2×#16810926C2semidirect
8. C2×#16810924C2semidirect
9. C2×#16810921C2semidirect
10. C2×#16810912C2semidirect
11. C2×#16810911C2semidirect
12. C2×#16810747C2semidirect
16. C2×C53×#478C2semidirect
19. #16811332C22semidirect
21. #16811329C22semidirect
41. #16811027C22semidirect
42. #16811023C22semidirect
43. #16811022C22semidirect
44. #16810926C22semidirect
45. #16810924C22semidirect
46. #16810921C22semidirect
47. #16810912C22semidirect
48. #16810911C22semidirect
49. #16810747C22semidirect
71. C53×#478C22semidirect
86. C2×#11719922Q8semidirect
235. #11719922C2×Q8semidirect
357. C2×#478D53semidirect
365. C2×C53#3380semidirect
402. #478C2×D53semidirect
430. C53C2×#3380semidirect
703. C2#20287577direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168113322
C2×#168113292
#202875772
C2×#168110272
C2×#168110232
C2×#168110222
C2×#168109262
C2×#168109242
C2×#168109212
C2×#168109122
C2×#168109112
C2×#168107472
C2×C4×#117199222
C2×#168107032
C2×C53×#4782
C2×#338053