Finite Group Databasebeta

← C2×#20286015 #28256331

Subgroups — C2×#20286015 #28256331

Order 13568.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811251C211yesmaximal, characteristic, complemented
2C2×#16811244C211yesmaximal, characteristic
3#20286015C2116yesmaximal, direct product factor
4C2×#16811032C211yesmaximal, characteristic, complemented
5C2×#16811021C211yesmaximal, characteristic, complemented
6C2×#16810983C211yesmaximal, characteristic, complemented
7C2×#16810978C211yesmaximal, characteristic, complemented
8C2×#16810942C211yesmaximal, characteristic
9C2×#16810965C211yesmaximal, characteristic, complemented
10C2×#16810948C211yesmaximal, characteristic
11C2×#16810954C211yesmaximal, characteristic, complemented
12C2×#16810931C211yesmaximal, characteristic, complemented
13C2×#16810909C211yesmaximal, characteristic, complemented
14C2×#16810924C211yesmaximal, characteristic, complemented
15C2×#16810914C211yesmaximal, characteristic, complemented
16C2×C53×#433C211yesmaximal, characteristic, complemented
17#16811251—24no—
18#16811251C2218yescomplemented
19#16811244—24no—
20#16811244C2218yes—
21C2×#13133217C2211yescharacteristic
22C2×#13133217C2211yescharacteristic
23C2×#13133217C2211yescharacteristic
24C2×#13133216—21no—
25C2×#13133212—21no—
26C2×#13133209C2211yescharacteristic
27C2×#13133209C2211yescharacteristic
28C2×#13133208—21no—
29C2×#13133205C2211yescharacteristic
30C2×#13133203—21no—
31C2×#13133199—21no—
32C2×#13133196C2211yescharacteristic
33C2×#13133195—21no—
34C2×#13133194—21no—
35C2×#13133194—21no—
36C2×#13133191C2211yescharacteristic
37C2×C4×Dic106C2211yescharacteristic
38C2×C4×D212C2211yescharacteristic
39C2×#13133176C2211yescharacteristic
40C22×C4⋊Dic53C2211yescharacteristic
41#16811032C2218yescomplemented
42#16811021C2218yescomplemented
43#16810983C2218yescomplemented
44#16810978C2218yescomplemented
45#16810965C2218yescomplemented
46#16810954C2218yescomplemented
47#16810948C2218yes—
48#16810942C2218yes—
49#16810931C2218yescomplemented
50#16810924C2218yescomplemented
51#16810914C2218yescomplemented
52#16810909C2218yescomplemented
53C2×#13133151C2211yescharacteristic
54C2×#13133151C2211yescharacteristic
55C2×#13133149C2211yescharacteristic
56C2×#13133149C2211yescharacteristic
57C2×#13133149C2211yescharacteristic
58C2×#13133149C2211yescharacteristic
59C2×#13133149C2211yescharacteristic
60C2×#13133149C2211yescharacteristic
61C2×#13133142C2211yescharacteristic
62C2×#13133142C2211yescharacteristic
63C2×#13133142C2211yescharacteristic
64C2×#13133142C2211yescharacteristic
65C2×#13133139C2211yescharacteristic
66C2×#13133139C2211yescharacteristic
67C2×#13133139C2211yescharacteristic
68C2×#13133139C2211yescharacteristic
69C2×#117×C53C2211yescharacteristic
70C53×#433C2218yescomplemented
71C2×C4⋊C8×C53C2211yescharacteristic
72C2×C4⋊C8×C53C2211yescharacteristic
73C2×C22⋊C8×C53C2211yescharacteristic
74C2×C22⋊C8×C53C2211yescharacteristic
75C2×#97×C53C2211yescharacteristic
76C2×C4×C8×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106—21no—
79C22×Dic106—21no—
80C22×Dic106C2311yescharacteristic
81C22×D212C2311yescharacteristic
82C22×C22⋊D53—21no—
83C23×Dic53—21no—
84C22×C4×D53—21no—
85#13133217—22no—
86#13133217—22no—
87#13133217—22no—
88#13133217C2314yes—
89#13133217C2314yes—
90#13133217C2314yes—
91#13133216—28no—
92#13133212—28no—
93#13133209—22no—
94#13133209—22no—
95#13133209C2314yes—
96#13133209C2314yes—
97#13133208—28no—
98#13133205—22no—
99#13133205C2314yes—
100#13133203—28no—
101#13133199—28no—
102#13133196—22no—
103#13133196C2314yes—
104#13133195—28no—
105#13133194—28no—
106#13133194—28no—
107#13133191—22no—
108#13133191C2314yes—
109C4×Dic106—22no—
110C4×Dic106C2314yes—
111C4×D212—22no—
112C4×D212C2314yes—
113#13133176—22no—
114#13133176C2314yes—
115C2×C4⋊Dic53—21no—
116C2×C4⋊Dic53—22no—
117C2×C4⋊Dic53—21no—
118C2×C4⋊Dic53—21no—
119C2×C4⋊Dic53—21no—
120C2×C4⋊Dic53C2311yescharacteristic
121C2×C4⋊Dic53C2311yescharacteristic
122C2×C4⋊Dic53C2314yes—
123C2×C4⋊Dic53C2311yescharacteristic
124C2×C4⋊Dic53C2311yescharacteristic
125C2×C4⋊Dic53C2311yescharacteristic
126C2×C4⋊Dic53C2311yescharacteristic
127C2×#11719919—21no—
128C2×#11719919—21no—
129C2×#11719919—21no—
130C2×#11719919—21no—
131C2×#11719919—21no—
132C2×#11719919—21no—
133C2×C22⋊Dic53—21no—
134C2×C22⋊Dic53—21no—
135C2×#11719921—21no—
136C2×#11719921—21no—
137C2×#11719921—21no—
138C2×#11719921—21no—
139C2×C4×Dic53—21no—
140C2×C4×Dic53—21no—
141#13133151C2314yes—
142#13133151C2314yes—
143#13133149C2314yes—
144#13133149C2314yes—
145#13133149C2314yes—
146#13133149C2314yes—
147#13133149C2314yes—
148#13133149C2314yes—
149#13133142C2314yes—
150#13133142C2314yes—
151#13133142C2314yes—
152#13133142C2314yes—
153#13133139C2314yes—
154#13133139C2314yes—
155#13133139C2314yes—
156#13133139C2314yes—
157C23×C4×C53C2311yescharacteristic
158C22×C8×C53C2311yescharacteristic
159C22×C8×C53C2311yescharacteristic
160C22×C8×C53C2311yescharacteristic
161C22×C8×C53C2311yescharacteristic
162#117×C53D414yes—
163#117×C53C2314yes—
164C2×C4⋊C4×C53D411yescharacteristic
165C2×C4⋊C4×C53D411yescharacteristic
166C2×C22⋊C4×C53D411yescharacteristic
167C2×C22⋊C4×C53D411yescharacteristic
168C2×C42×C53C2311yescharacteristic
169C2×C42×C53C2311yescharacteristic
170C4⋊C8×C53C2314yes—
171C4⋊C8×C53C2314yes—
172C22⋊C8×C53C2314yes—
173C22⋊C8×C53C2314yes—
174#97×C53C2314yes—
175C4×C8×C53C2314yes—
176C24×C53C2×D411yescharacteristic
177C23×D53—21no—
178C22×C4×C53—22no—
179C22×C4×C53—22no—
180C22×C4×C53C2×D411yescharacteristic
181C22×C4×C53C2×D411yescharacteristic
182C22×C4×C53C2×D411yescharacteristic
183C22×C4×C53C2×D411yescharacteristic
184C22×C4×C53C2×D411yescharacteristic
185C22×C4×C53C2×D412yes—
186C22×C4×C53C2412yes—
187C22×C4×C53C2411yescharacteristic
188C2×C22⋊D53—24no—
189C2×C22⋊D53—82no—
190C22×Dic53—21no—
191C22×Dic53—21no—
192C22×Dic53—21no—
193C22×Dic53—21no—
194C22×Dic53—21no—
195C22×Dic53—21no—
196C22×Dic53—21no—
197C22×Dic53—24no—
198C22×Dic53—82no—
199C2×D212—22no—
200C2×D212—22no—
201C2×D212—21no—
202C2×D212C2412yes—
203C2×C4×D53—24no—
204C2×C4×D53—82no—
205C2×Dic106—22no—
206C2×Dic106—22no—
207C2×Dic106—21no—
208C2×Dic106—24no—
209C2×Dic106—24no—
210C2×Dic106—24no—
211C2×Dic106—82no—
212C2×Dic106—82no—
213C2×Dic106—82no—
214C2×Dic106C2412yes—
215C2×C8×C53—22no—
216C2×C8×C53—22no—
217C2×C8×C53—22no—
218C2×C8×C53—22no—
219C2×C8×C53C2412yes—
220C2×C8×C53C2412yes—
221C2×C8×C53C2412yes—
222C2×C8×C53C2412yes—
223C4⋊C4×C53C2×D414yes—
224C4⋊C4×C53C2×D414yes—
225C22⋊C4×C53C2×D414yes—
226C22⋊C4×C53C2×D414yes—
227C42×C53C2×D412yes—
228C42×C53C2×D412yes—
229C42×C53C2412yes—
230C42×C53C2412yes—
231C22⋊Dic53—24no—
232C22⋊Dic53—24no—
233#11719921—24no—
234#11719921—24no—
235#11719921—24no—
236#11719921—24no—
237C4⋊Dic53—24no—
238C4⋊Dic53—21no—
239C4⋊Dic53—21no—
240C4⋊Dic53—24no—
241C4⋊Dic53—24no—
242C4⋊Dic53—24no—
243C4⋊Dic53—21no—
244C4⋊Dic53—21no—
245C4⋊Dic53—21no—
246C4⋊Dic53—21no—
247C4⋊Dic53C2412yes—
248C4⋊Dic53C2412yes—
249C4⋊Dic53C2412yes—
250C4⋊Dic53C2412yes—
251C4⋊Dic53C2412yes—
252C4⋊Dic53C2412yes—
253#11719919—24no—
254#11719919—24no—
255#11719919—24no—
256#11719919—24no—
257#11719919—24no—
258#11719919—24no—
259C4×Dic53—24no—
260C4×Dic53—24no—
261C23×C53—22no—
262C23×C53—22no—
263C23×C53—22no—
264C23×C53C22×D412yes—
265C23×C53C22×D411yescharacteristic
266C22×D53—22no—
267C22×D53—42no—
268C22×D53—42no—
269C22×D53—42no—
270C2×C4×C53—22no—
271C2×C4×C53—22no—
272C2×C4×C53—22no—
273C2×C4×C53—22no—
274C2×C4×C53—22no—
275C2×C4×C53—24no—
276C2×C4×C53—22no—
277C2×C4×C53—22no—
278C2×C4×C53C22×D412yes—
279C2×C4×C53C22×D412yes—
280C2×C4×C53C22×D412yes—
281C2×C4×C53C22×D412yes—
282C2×C4×C53C22×D412yes—
283C2×C4×C53C22×D411yescharacteristic
284C2×C4×C532−1+412yes—
285C2×C4×C532−1+412yes—
286C2×C4×C53C2511yescharacteristic
287C22⋊D53—84no—
288C2×Dic53—22no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—22no—
292C2×Dic53—22no—
293C2×Dic53—22no—
294C2×Dic53—22no—
295C2×Dic53—42no—
296C2×Dic53—42no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—84no—
303D212—22no—
304D212—22no—
305D212—42no—
306C4×D53—84no—
307Dic106—22no—
308Dic106—22no—
309Dic106—42no—
310Dic106—84no—
311Dic106—84no—
312Dic106—84no—
313C8×C53—22no—
314C8×C53—22no—
315C8×C53—22no—
316C8×C53—22no—
317C2×#3244—531nomaximal, Sylow
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—22no—
321C22×C53—44no—
322C22×C53#53612yes—
323C22×C53#57712yes—
324C22×C53#57712yes—
325C22×C53C23×D411yescharacteristic
326C2×D53—42no—
327C2×D53—42no—
328C2×D53—42no—
329C2×D53—84no—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53#53612yes—
336C4×C53C2×2−1+411yescharacteristic
337C4×C53C2×2−1+411yescharacteristic
338Dic53—42no—
339Dic53—42no—
340Dic53—42no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344Dic53—42no—
345C2×#544—531no—
346C2×#542—531no—
347#3244—5316no—
348C2×#501—531no—
349C2×#498—531no—
350C2×#489—531no—
351C2×#488—531no—
352C2×#481—531no—
353C2×#485—531no—
354C2×#482—531no—
355C2×#483—531no—
356C2×#479—531no—
357C2×#475—531no—
358C2×#478—531no—
359C2×#476—531no—
360C2×#433D5311yescharacteristic, complemented
361C2×C53—42no—
362C2×C53#324414yescomplemented
363C2×C53C2×#53611yescharacteristic
364C2×C53C2×#57711yescharacteristic
365C2×C53C2×#57711yescharacteristic
366D53—82no—
367#544—538no—
368#544—1064no—
369#542—538no—
370#542—1064no—
371C2×C4⋊Q8—531no—
372C2×C4⋊Q8—531no—
373C2×C4⋊Q8—531no—
374C2×C4⋊Q8—1061no—
375C2×#126—1061no—
376C2×#125—531no—
377C2×#125—531no—
378C2×#125—1061no—
379C2×#124—531no—
380C2×#124—1061no—
381C2×#123—1061no—
382C2×C22⋊Q8—531no—
383C2×C22⋊Q8—1061no—
384C2×C22⋊Q8—1061no—
385C2×C22⋊Q8—1061no—
386C2×#121—531no—
387C2×C4×Q8—531no—
388C2×C4×D4—531no—
389C2×#117—531no—
390C2×#117C2×D5311yescharacteristic
391C22×C4⋊C4—531no—
392#501—538no—
393#498—538no—
394#489—538no—
395#488—538no—
396#485—538no—
397#483—538no—
398#482—538no—
399#481—538no—
400#479—538no—
401#478—538no—
402#476—538no—
403#475—538no—
404#433C2×D5318yescomplemented
405C2×#107—531no—
406C2×#107—531no—
407C2×#106—531no—
408C2×#106—531no—
409C2×#106—531no—
410C2×#106—531no—
411C2×#106—531no—
412C2×#106—531no—
413C2×C4⋊C8C2×D5311yescharacteristic
414C2×C4⋊C8C2×D5311yescharacteristic
415C2×#103—531no—
416C2×#103—531no—
417C2×#103—531no—
418C2×#103—531no—
419C2×#102—531no—
420C2×#102—531no—
421C2×#102—531no—
422C2×#102—531no—
423C2×C22⋊C8C2×D5311yescharacteristic
424C2×C22⋊C8C2×D5311yescharacteristic
425C2×#97C2×D5311yescharacteristic
426C2×C4×C8C2×D5311yescharacteristic
427C53C2×#324411yescharacteristic, complemented, Sylow
428C22×Q8—531no—
429C22×Q8—1061no—
430C22×Q8—1061no—
431C22×Q8—1061no—
432C22×D4—531no—
433C22×D4—1061no—
434C23×C4—1061no—
435C23×C4—1061no—
436C23×C4C22×D5311yescharacteristic
437C22×C8C22×D5311yescharacteristic
438C22×C8C22×D5311yescharacteristic
439C22×C8C22×D5311yescharacteristic
440C22×C8C22×D5311yescharacteristic
441C4⋊Q8—534no—
442C4⋊Q8—534no—
443C4⋊Q8—534no—
444C4⋊Q8—1068no—
445C4⋊Q8—1062no—
446C4⋊Q8—1062no—
447C4⋊Q8—1062no—
448#126—1068no—
449#125—534no—
450#125—534no—
451#125—1068no—
452#125—1062no—
453#125—1062no—
454#124—534no—
455#124—1068no—
456#124—1062no—
457#123—1068no—
458C22⋊Q8—534no—
459C22⋊Q8—1062no—
460C22⋊Q8—1068no—
461C22⋊Q8—1068no—
462C22⋊Q8—1068no—
463#121—534no—
464#121—1062no—
465C4×Q8—534no—
466C4×Q8—1062no—
467C4×D4—534no—
468C4×D4—1062no—
469#117—534no—
470#117—1062no—
471#117D21214yes—
472#117C22×D5314yes—
473C2×C4⋊C4—531no—
474C2×C4⋊C4—531no—
475C2×C4⋊C4—534no—
476C2×C4⋊C4—531no—
477C2×C4⋊C4—531no—
478C2×C4⋊C4—531no—
479C2×C4⋊C4—531no—
480C2×C4⋊C4—1061no—
481C2×C4⋊C4—1062no—
482C2×C4⋊C4—1061no—
483C2×C4⋊C4—1061no—
484C2×C4⋊C4—1061no—
485C2×C4⋊C4—1061no—
486C2×C4⋊C4—1061no—
487C2×C4⋊C4—1061no—
488C2×C4⋊C4—1061no—
489C2×C4⋊C4—1061no—
490C2×C4⋊C4—1061no—
491C2×C4⋊C4D21211yescharacteristic
492C2×C4⋊C4D21211yescharacteristic
493C2×C22⋊C4—1061no—
494C2×C22⋊C4—1061no—
495C2×C22⋊C4—1061no—
496C2×C22⋊C4—1061no—
497C2×C22⋊C4—1061no—
498C2×C22⋊C4—1061no—
499C2×C22⋊C4D21211yescharacteristic
500C2×C22⋊C4D21211yescharacteristic
501C2×C42—1061no—
502C2×C42—1061no—
503C2×C42C22×D5311yescharacteristic
504C2×C42C22×D5311yescharacteristic
505#107—534no—
506#107—534no—
507#106—534no—
508#106—534no—
509#106—534no—
510#106—534no—
511#106—534no—
512#106—534no—
513C4⋊C8C22×D5314yes—
514C4⋊C8C22×D5314yes—
515#103—534no—
516#103—534no—
517#103—534no—
518#103—534no—
519#102—534no—
520#102—534no—
521#102—534no—
522#102—534no—
523C22⋊C8C22×D5314yes—
524C22⋊C8C22×D5314yes—
525#97C22×D5314yes—
526C4×C8C22×D5314yes—
527C24—1061no—
528C24C2×D21211yescharacteristic
529C2×Q8—532no—
530C2×Q8—1064no—
531C2×Q8—1064no—
532C2×Q8—1064no—
533C2×Q8—1061no—
534C2×Q8—1062no—
535C2×Q8—1062no—
536C2×Q8—4242no—
537C2×Q8—4242no—
538C2×Q8—4242no—
539C2×D4—532no—
540C2×D4—1064no—
541C2×D4—1061no—
542C2×D4—1062no—
543C2×D4—1062no—
544C2×D4—4242no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—1064no—
548C22×C4—1061no—
549C22×C4—1061no—
550C22×C4—1061no—
551C22×C4—1061no—
552C22×C4—1061no—
553C22×C4—1061no—
554C22×C4—1061no—
555C22×C4—1064no—
556C22×C4—4242no—
557C22×C4—4242no—
558C22×C4C2×D21212yes—
559C22×C4C2×D21211yescharacteristic
560C22×C4C2×D21211yescharacteristic
561C22×C4C2×D21211yescharacteristic
562C22×C4C2×D21211yescharacteristic
563C22×C4C2×D21211yescharacteristic
564C22×C4C23×D5312yes—
565C22×C4C23×D5311yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D5312yes—
571C2×C8C23×D5312yes—
572C2×C8C23×D5312yes—
573C2×C8C23×D5312yes—
574C4⋊C4—532no—
575C4⋊C4—532no—
576C4⋊C4—532no—
577C4⋊C4—532no—
578C4⋊C4—532no—
579C4⋊C4—532no—
580C4⋊C4—1064no—
581C4⋊C4—1061no—
582C4⋊C4—1061no—
583C4⋊C4—1061no—
584C4⋊C4—1061no—
585C4⋊C4—1061no—
586C4⋊C4—1061no—
587C4⋊C4—1064no—
588C4⋊C4—1064no—
589C4⋊C4—1064no—
590C4⋊C4—1064no—
591C4⋊C4—1064no—
592C4⋊C4—1064no—
593C4⋊C4—1064no—
594C4⋊C4—1064no—
595C4⋊C4—1064no—
596C4⋊C4C2×D21214yes—
597C4⋊C4C2×D21214yes—
598C22⋊C4—1064no—
599C22⋊C4—1064no—
600C22⋊C4—1064no—
601C22⋊C4—1064no—
602C22⋊C4—1064no—
603C22⋊C4—1064no—
604C22⋊C4C2×D21214yes—
605C22⋊C4C2×D21214yes—
606C42—1064no—
607C42—1064no—
608C42C2×D21212yes—
609C42C2×D21212yes—
610C42C23×D5312yes—
611C42C23×D5312yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—1062no—
616C23—2122no—
617C23—2122no—
618C23—2122no—
619C23C22×D21212yes—
620C23C22×D21211yescharacteristic
621Q8—1062no—
622Q8—1062no—
623Q8—4244no—
624Q8—4244no—
625Q8—4244no—
626Q8—2122no—
627D4—1062no—
628D4—1062no—
629D4—4244no—
630D4—2122no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—1062no—
640C2×C4—1062no—
641C2×C4—1062no—
642C2×C4—1062no—
643C2×C4—1062no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—4244no—
647C2×C4—4244no—
648C2×C4—2122no—
649C2×C4—2122no—
650C2×C4—2122no—
651C2×C4—2122no—
652C2×C4—2122no—
653C2×C4—2122no—
654C2×C4—2122no—
655C2×C4C22×D21212yes—
656C2×C4C22×D21212yes—
657C2×C4C22×D21212yes—
658C2×C4C22×D21212yes—
659C2×C4C22×D21212yes—
660C2×C4C22×D21211yescharacteristic
661C2×C4#1313326412yes—
662C2×C4#1313326412yes—
663C2×C4C24×D5311yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—4244no—
673C22—2122no—
674C22—2122no—
675C22—2122no—
676C22#1681119912yes—
677C22#1681143512yes—
678C22#1681143512yes—
679C22C23×D21211yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—2122no—
686C4—2122no—
687C4—2122no—
688C4—2122no—
689C4—2122no—
690C4—2122no—
691C4—2122no—
692C4#1681119912yes—
693C4C2×#1313326411yescharacteristic
694C4C2×#1313326411yescharacteristic
695C2—42no—
696C2—4242no—
697C2#2028601514yesdirect product factor
698C2C2×#1681119911yescharacteristic
699C2C2×#1681143511yescharacteristic
700C2C2×#1681143511yescharacteristic
subgroupG/H
centerC23C22×D212
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#433C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
hypercenterC2×#433D53
hypocenterC53C2×#3244
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#16811251C2semidirect
3. #20286015C2direct (N × H)
4. C2×#16811032C2semidirect
5. C2×#16811021C2semidirect
6. C2×#16810983C2semidirect
7. C2×#16810978C2semidirect
9. C2×#16810965C2semidirect
11. C2×#16810954C2semidirect
12. C2×#16810931C2semidirect
13. C2×#16810909C2semidirect
14. C2×#16810924C2semidirect
15. C2×#16810914C2semidirect
16. C2×C53×#433C2semidirect
18. #16811251C22semidirect
41. #16811032C22semidirect
42. #16811021C22semidirect
43. #16810983C22semidirect
44. #16810978C22semidirect
45. #16810965C22semidirect
46. #16810954C22semidirect
49. #16810931C22semidirect
50. #16810924C22semidirect
51. #16810914C22semidirect
52. #16810909C22semidirect
70. C53×#433C22semidirect
360. C2×#433D53semidirect
362. C2×C53#3244semidirect
404. #433C2×D53semidirect
427. C53C2×#3244semidirect
697. C2#20286015direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168112512
C2×#168112442
#202860152
C2×#168110322
C2×#168110212
C2×#168109832
C2×#168109782
C2×#168109422
C2×#168109652
C2×#168109482
C2×#168109542
C2×#168109312
C2×#168109092
C2×#168109242
C2×#168109142
C2×C53×#4332
C2×#324453