Finite Group Databasebeta

← C2×#20287593 #28264534

Subgroups — C2×#20287593 #28264534

Order 13568.

1842 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811349C211yesmaximal, characteristic, complemented
2C2×#16811329C211yesmaximal, characteristic
3#20287593C2116yesmaximal, direct product factor
4C2×#16811024C211yesmaximal, characteristic, complemented
5C2×#16811022C211yesmaximal, characteristic, complemented
6C2×#16811020C211yesmaximal, characteristic, complemented
7C2×#16810928C211yesmaximal, characteristic, complemented
8C2×#16810916C211yesmaximal, characteristic, complemented
9C2×#16810924C211yesmaximal, characteristic
10C2×#16810922C211yesmaximal, characteristic
11C2×#16810902C211yesmaximal, characteristic
12C2×#16810747C211yesmaximal, characteristic, complemented
13C2×C4×#11719924C211yesmaximal, characteristic
14C2×#16810708C211yesmaximal, characteristic
15C2×#16810708C211yesmaximal, characteristic
16C2×C53×#479C211yesmaximal, characteristic, complemented
17C22×#11719924C2211yescharacteristic
18#16811349—24no—
19#16811349C2218yescomplemented
20#16811329—24no—
21#16811329C2218yes—
22C2×#13133216—21no—
23C2×#13133216C2211yescharacteristic
24C2×#13133216C2211yescharacteristic
25C2×#13133209—21no—
26C2×#13133209C2211yescharacteristic
27C2×#13133208—21no—
28C2×#13133208C2211yescharacteristic
29C2×#13133208C2211yescharacteristic
30C2×#13133197—21no—
31C2×#13133195—21no—
32C2×#13133195—21no—
33C2×Q8×Dic53C2211yescharacteristic
34C2×Q8×Dic53C2211yescharacteristic
35C2×C4×Dic106—21no—
36C2×C4×Dic106C2211yescharacteristic
37C2×C4×D212C2211yescharacteristic
38C2×#13133179C2211yescharacteristic
39C2×#13133179C2211yescharacteristic
40C2×C4⋊C4×D53—21no—
41#16811024C2218yescomplemented
42#16811022C2218yescomplemented
43#16811020C2218yescomplemented
44#16810928C2218yescomplemented
45#16810924C2218yes—
46#16810922C2218yes—
47#16810916C2218yescomplemented
48#16810902C2218yes—
49#16810747C2218yescomplemented
50C4×#11719924C2218yes—
51#16810708C2218yes—
52#16810708C2218yes—
53C2×#13133151C2211yescharacteristic
54C2×#13133150C2211yescharacteristic
55C2×#13133150C2211yescharacteristic
56C2×#13133149C2211yescharacteristic
57C2×#13133148C2211yescharacteristic
58C2×#13133148C2211yescharacteristic
59C2×#13133148C2211yescharacteristic
60C2×#13133146C2211yescharacteristic
61C2×#13133146C2211yescharacteristic
62C2×#13133141C2211yescharacteristic
63C2×#13133139C2211yescharacteristic
64C2×#13133139C2211yescharacteristic
65C2×#13133137C2211yescharacteristic
66C2×C4×#88322C2211yescharacteristic
67C2×C8×Dic53C2211yescharacteristic
68C2×C8×Dic53C2211yescharacteristic
69C2×#125×C53C2211yescharacteristic
70C2×C4×Q8×C53C2211yescharacteristic
71C53×#479C2218yescomplemented
72C2×#107×C53C2211yescharacteristic
73C2×#106×C53C2211yescharacteristic
74C2×C4⋊C8×C53C2211yescharacteristic
75C2×#103×C53C2211yescharacteristic
76C2×#103×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106—21no—
79C22×Dic106D411yescharacteristic
80C22×D212C2311yescharacteristic
81C22×C4×D53—21no—
82C22×C4×D53—21no—
83C22×C4×D53—21no—
84C2×#11719924Q818yescomplemented
85C2×#11719924C2314yes—
86C22×#88322C2311yescharacteristic
87C22×#88322C2311yescharacteristic
88#13133216—22no—
89#13133216—22no—
90#13133216—28no—
91#13133216C2314yes—
92#13133216C2314yes—
93#13133209—22no—
94#13133209—28no—
95#13133209C2314yes—
96#13133208—28no—
97#13133208—22no—
98#13133208—22no—
99#13133208C2314yes—
100#13133208C2314yes—
101#13133197—28no—
102#13133195—28no—
103#13133195—28no—
104Q8×Dic53—22no—
105Q8×Dic53—22no—
106Q8×Dic53C2314yes—
107Q8×Dic53C2314yes—
108C4×Dic106—28no—
109C4×Dic106D414yes—
110C4×Dic106C2314yes—
111C4×D212—22no—
112C4×D212C2314yes—
113#13133179—22no—
114#13133179—22no—
115#13133179C2314yes—
116#13133179C2314yes—
117C2×C4⋊Dic53—21no—
118C2×C4⋊Dic53—21no—
119C2×C4⋊Dic53—21no—
120C2×C4⋊Dic53—21no—
121C2×C4⋊Dic53D411yescharacteristic
122C2×C4⋊Dic53C2311yescharacteristic
123C2×C4⋊Dic53C2311yescharacteristic
124C2×C4⋊Dic53C2311yescharacteristic
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×#11719921—21no—
135C2×#11719921—21no—
136C2×#11719921—21no—
137C2×C4×Dic53—21no—
138C2×C4×Dic53—21no—
139C2×C4×Dic53C2311yescharacteristic
140C2×C4×Dic53C2311yescharacteristic
141#13133151C2314yes—
142#13133150C2314yes—
143#13133150C2314yes—
144#13133149C2314yes—
145#13133148C2314yes—
146#13133148C2314yes—
147#13133148C2314yes—
148#13133146C2314yes—
149#13133146C2314yes—
150#13133141C2314yes—
151#13133139C2314yes—
152#13133139C2314yes—
153#13133137C2314yes—
154C4×#88322C2314yes—
155C8×Dic53C2314yes—
156C8×Dic53C2314yes—
157C22×Q8×C53C2311yescharacteristic
158C22×C8×C53C2311yescharacteristic
159C22×C8×C53C2311yescharacteristic
160#125×C53—22no—
161#125×C53C2314yes—
162C4×Q8×C53—22no—
163C4×Q8×C53C2314yes—
164C2×C4⋊C4×C53—21no—
165C2×C4⋊C4×C53—21no—
166C2×C4⋊C4×C53—21no—
167C2×C4⋊C4×C53C2311yescharacteristic
168C2×C4⋊C4×C53C2311yescharacteristic
169C2×C4⋊C4×C53C2311yescharacteristic
170C2×C42×C53—21no—
171C2×C42×C53C2311yescharacteristic
172#107×C53C2314yes—
173#106×C53C2314yes—
174C4⋊C8×C53C2314yes—
175#103×C53C2314yes—
176#103×C53C2314yes—
177C23×D53—21no—
178C2×Q8×C53—21no—
179C2×Q8×C53—22no—
180C2×Q8×C53C2×Q814yes—
181C2×Q8×C53C2412yes—
182C22×C4×C53—21no—
183C22×C4×C53—21no—
184C22×C4×C53—21no—
185C22×C4×C53—21no—
186C22×C4×C53C2×D411yescharacteristic
187C22×C4×C53C2×D411yescharacteristic
188C22×C4×C53C2411yescharacteristic
189C22×Dic53—21no—
190C22×Dic53—21no—
191C22×Dic53—21no—
192C22×Dic53C2×D411yescharacteristic
193C22×Dic53C2×D411yescharacteristic
194C22×Dic53C2×D411yescharacteristic
195C22×Dic53C2×D411yescharacteristic
196C2×D212—21no—
197C2×D212—22no—
198C2×D212C2×Q814yes—
199C2×D212C2412yes—
200C2×C4×D53—24no—
201C2×C4×D53—24no—
202C2×C4×D53—24no—
203C2×C4×D53—44no—
204C2×C4×D53—82no—
205C2×C4×D53—82no—
206C2×Dic106—24no—
207C2×Dic106—24no—
208C2×Dic106—24no—
209C2×Dic106—44no—
210C2×Dic106—82no—
211C2×Dic106C2×D414yes—
212C2×C8×C53—22no—
213C2×C8×C53—22no—
214C2×C8×C53C2412yes—
215C2×C8×C53C2412yes—
216C4⋊C4×C53—24no—
217C4⋊C4×C53—24no—
218C4⋊C4×C53—24no—
219C4⋊C4×C53—21no—
220C4⋊C4×C53—21no—
221C4⋊C4×C53—21no—
222C4⋊C4×C53C2412yes—
223C4⋊C4×C53C2412yes—
224C4⋊C4×C53C2412yes—
225C42×C53—24no—
226C42×C53C2×D412yes—
227C42×C53C2412yes—
228#11719924C2×Q8116yescomplemented
229#11719921—24no—
230#11719921—24no—
231#11719921—24no—
232C4⋊Dic53—21no—
233C4⋊Dic53—21no—
234C4⋊Dic53—21no—
235C4⋊Dic53—24no—
236C4⋊Dic53—24no—
237C4⋊Dic53—24no—
238C4⋊Dic53—24no—
239C4⋊Dic53C2×D414yes—
240C4⋊Dic53C2412yes—
241C4⋊Dic53C2412yes—
242C4⋊Dic53C2412yes—
243#11719919—24no—
244#11719919—24no—
245#11719919—24no—
246#11719919—24no—
247#11719919—24no—
248#11719919—24no—
249#11719919C2×D414yes—
250#11719919C2×D414yes—
251C4×Dic53—24no—
252C4×Dic53—24no—
253C4×Dic53C2×D412yes—
254C4×Dic53C2×D412yes—
255C4×Dic53C2412yes—
256C4×Dic53C2412yes—
257C2×#88322—22no—
258C2×#88322C2×Q814yes—
259C2×#88322C2412yes—
260C2×#88322C2412yes—
261C23×C53C22×D411yescharacteristic
262C22×D53—24no—
263C22×D53—22no—
264C22×D53—42no—
265C22×D53—42no—
266Q8×C53—24no—
267Q8×C53—22no—
268Q8×C53C22×Q814yes—
269C2×C4×C53—24no—
270C2×C4×C53—22no—
271C2×C4×C53—22no—
272C2×C4×C53—22no—
273C2×C4×C53—22no—
274C2×C4×C53—22no—
275C2×C4×C53—22no—
276C2×C4×C53—42no—
277C2×C4×C53—42no—
278C2×C4×C53—42no—
279C2×C4×C53C22×D412yes—
280C2×C4×C53C22×D412yes—
281C2×C4×C53C22×D411yescharacteristic
282C2×C4×C53C22×Q812yes—
283C2×C4×C532−1+412yes—
284C2×C4×C53C2511yescharacteristic
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—22no—
288C2×Dic53—22no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—42no—
292C2×Dic53—42no—
293C2×Dic53—42no—
294C2×Dic53#13514yes—
295C2×Dic53C22×D412yes—
296C2×Dic53C22×D412yes—
297C2×Dic53C22×D412yes—
298C2×Dic53C22×D412yes—
299D212—24no—
300D212—22no—
301D212C22×Q814yes—
302C4×D53—48no—
303C4×D53—84no—
304C4×D53—84no—
305Dic106—28no—
306Dic106—48no—
307Dic106—84no—
308C8×C53—22no—
309C8×C53—22no—
310#88322—22no—
311#88322C22×Q814yes—
312C2×#3381—531nomaximal, Sylow
313C22×C53D4×Q812yes—
314C22×C53C2×#13512yes—
315C22×C53#57712yes—
316C22×C53C23×D411yescharacteristic
317C2×D53—24no—
318C2×D53—48no—
319C2×D53—42no—
320C2×D53—42no—
321C4×C53—24no—
322C4×C53—22no—
323C4×C53—22no—
324C4×C53—42no—
325C4×C53—42no—
326C4×C53—42no—
327C4×C53D4×Q812yes—
328C4×C53C23×Q811yescharacteristic
329C4×C53C2×2−1+411yescharacteristic
330Dic53—22no—
331Dic53—22no—
332Dic53—22no—
333Dic53—42no—
334Dic53—42no—
335Dic53—42no—
336Dic53C2×#13514yes—
337C2×#557—531no—
338C2×#554—531no—
339#3381—5316no—
340C2×#499—531no—
341C2×#499—531no—
342C2×#498—531no—
343C2×#479—531no—
344C2×#479D5311yescharacteristic, complemented
345C2×#477—531no—
346C2×#478—531no—
347C2×#478—531no—
348C2×#474—531no—
349C2×C8×Q8—531no—
350C2×C4×SD16—531no—
351C2×C4×SD16—531no—
352C2×C4×SD16—531no—
353C2×C53#338114yescomplemented
354C2×C53C2×D4×Q811yescharacteristic
355C2×C53C22×#13511yescharacteristic
356C2×C53C2×#57711yescharacteristic
357D53—44no—
358C22×SD16—531no—
359#557—538no—
360#557—1064no—
361#554—538no—
362#554—1064no—
363C2×C4⋊Q8—531no—
364C2×C4⋊Q8—531no—
365C2×C4⋊Q8—1061no—
366C2×#125—531no—
367C2×#125—531no—
368C2×#125—531no—
369C2×#125—1061no—
370C2×#125—1061no—
371C2×#125C2×D5311yescharacteristic
372C2×C22⋊Q8—1061no—
373C2×C22⋊Q8—1061no—
374C2×C22⋊Q8—1061no—
375C2×C4×Q8—531no—
376C2×C4×Q8—531no—
377C2×C4×Q8—531no—
378C2×C4×Q8—1061no—
379C2×C4×Q8C2×D5311yescharacteristic
380C2×C4×D4—531no—
381C2×C4×D4—531no—
382C2×C4×D4—531no—
383C22×C4⋊C4—1061no—
384#499—538no—
385#499—538no—
386#498—538no—
387#479—538no—
388#479C2×D5318yescomplemented
389#478—538no—
390#478—538no—
391#477—538no—
392#474—538no—
393C8×Q8—538no—
394C4×SD16—538no—
395C4×SD16—538no—
396C4×SD16—538no—
397C2×#107—531no—
398C2×#107—531no—
399C2×#107—531no—
400C2×#107C2×D5311yescharacteristic
401C2×#106—531no—
402C2×#106—531no—
403C2×#106—531no—
404C2×#106—531no—
405C2×#106C2×D5311yescharacteristic
406C2×C4⋊C8—531no—
407C2×C4⋊C8—531no—
408C2×C4⋊C8C2×D5311yescharacteristic
409C2×#103—531no—
410C2×#103C2×D5311yescharacteristic
411C2×#103C2×D5311yescharacteristic
412C2×#102—531no—
413C2×#102—531no—
414C2×#102—531no—
415C2×C4×C8—531no—
416C2×C4×C8—531no—
417C2×C4×C8—531no—
418C53C2×#338111yescharacteristic, complemented, Sylow
419C22×Q8—531no—
420C22×Q8—1061no—
421C22×Q8—1061no—
422C22×Q8C22×D5311yescharacteristic
423C22×D4—531no—
424C23×C4—1061no—
425C23×C4—1061no—
426C23×C4—1061no—
427C2×SD16—538no—
428C2×SD16—534no—
429C22×C8—531no—
430C22×C8—531no—
431C22×C8C22×D5311yescharacteristic
432C22×C8C22×D5311yescharacteristic
433C4⋊Q8—534no—
434C4⋊Q8—534no—
435C4⋊Q8—1062no—
436C4⋊Q8—1062no—
437C4⋊Q8—1068no—
438#125—22no—
439#125—534no—
440#125—534no—
441#125—534no—
442#125—1068no—
443#125—1062no—
444#125—1062no—
445#125—1068no—
446#125—1062no—
447#125C22×D5314yes—
448C22⋊Q8—1068no—
449C22⋊Q8—1068no—
450C22⋊Q8—1068no—
451C4×Q8—22no—
452C4×Q8—534no—
453C4×Q8—534no—
454C4×Q8—534no—
455C4×Q8—534no—
456C4×Q8—1068no—
457C4×Q8—1062no—
458C4×Q8—1062no—
459C4×Q8C22×D5314yes—
460C4×D4—534no—
461C4×D4—534no—
462C4×D4—534no—
463C4×D4—1062no—
464C4×D4—1062no—
465C4×D4—1062no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—531no—
470C2×C4⋊C4—531no—
471C2×C4⋊C4—531no—
472C2×C4⋊C4—531no—
473C2×C4⋊C4—531no—
474C2×C4⋊C4—531no—
475C2×C4⋊C4—1068no—
476C2×C4⋊C4—1061no—
477C2×C4⋊C4—1061no—
478C2×C4⋊C4—1061no—
479C2×C4⋊C4—1061no—
480C2×C4⋊C4—1061no—
481C2×C4⋊C4—1061no—
482C2×C4⋊C4—1061no—
483C2×C4⋊C4—1061no—
484C2×C4⋊C4—1061no—
485C2×C4⋊C4—1061no—
486C2×C4⋊C4C22×D5311yescharacteristic
487C2×C4⋊C4C22×D5311yescharacteristic
488C2×C4⋊C4C22×D5311yescharacteristic
489C2×C22⋊C4—1061no—
490C2×C22⋊C4—1061no—
491C2×C22⋊C4—1061no—
492C2×C42—21no—
493C2×C42—531no—
494C2×C42—531no—
495C2×C42—1061no—
496C2×C42—1061no—
497C2×C42C22×D5311yescharacteristic
498#107—534no—
499#107—534no—
500#107—534no—
501#107C22×D5314yes—
502#106—534no—
503#106—534no—
504#106—534no—
505#106—534no—
506#106C22×D5314yes—
507C4⋊C8—534no—
508C4⋊C8—534no—
509C4⋊C8C22×D5314yes—
510#103—534no—
511#103C22×D5314yes—
512#103C22×D5314yes—
513#102—534no—
514#102—534no—
515#102—534no—
516C4×C8—534no—
517C4×C8—534no—
518C4×C8—534no—
519C24—1061no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—534no—
523C2×Q8—1064no—
524C2×Q8—1064no—
525C2×Q8—1064no—
526C2×Q8—4242no—
527C2×Q8—2124no—
528C2×Q8Q8×D5314yes—
529C2×Q8C23×D5312yes—
530C2×D4—534no—
531C2×D4—532no—
532C2×D4—1061no—
533C2×D4—1062no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—531no—
539C22×C4—531no—
540C22×C4—531no—
541C22×C4—531no—
542C22×C4—1064no—
543C22×C4—1064no—
544C22×C4—1061no—
545C22×C4—1061no—
546C22×C4—1061no—
547C22×C4—1064no—
548C22×C4—4242no—
549C22×C4—4242no—
550C22×C4—2124no—
551C22×C4D4×D5311yescharacteristic
552C22×C4D4×D5311yescharacteristic
553C22×C4C23×D5311yescharacteristic
554SD16—5316no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—534no—
558C2×C8—532no—
559C2×C8—532no—
560C2×C8—1062no—
561C2×C8C23×D5312yes—
562C2×C8C23×D5312yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—534no—
570C4⋊C4—534no—
571C4⋊C4—534no—
572C4⋊C4—532no—
573C4⋊C4—532no—
574C4⋊C4—532no—
575C4⋊C4—1064no—
576C4⋊C4—1064no—
577C4⋊C4—1064no—
578C4⋊C4—1064no—
579C4⋊C4—1064no—
580C4⋊C4—1064no—
581C4⋊C4—1064no—
582C4⋊C4—1064no—
583C4⋊C4—1061no—
584C4⋊C4—1061no—
585C4⋊C4—1061no—
586C4⋊C4—1064no—
587C4⋊C4—1064no—
588C4⋊C4C23×D5312yes—
589C4⋊C4C23×D5312yes—
590C4⋊C4C23×D5312yes—
591C22⋊C4—1064no—
592C22⋊C4—1064no—
593C22⋊C4—1064no—
594C42—24no—
595C42—532no—
596C42—532no—
597C42—532no—
598C42—532no—
599C42—1064no—
600C42—1064no—
601C42D4×D5312yes—
602C42C23×D5312yes—
603C23—1064no—
604C23—1062no—
605C23—2122no—
606C23—2122no—
607C23C2×D4×D5311yescharacteristic
608Q8—24no—
609Q8—22no—
610Q8—1068no—
611Q8—4244no—
612Q8—2128no—
613Q8C2×Q8×D5314yes—
614D4—534no—
615D4—1064no—
616D4—1062no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—534no—
628C2×C4—532no—
629C2×C4—532no—
630C2×C4—532no—
631C2×C4—532no—
632C2×C4—1062no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1062no—
636C2×C4—1062no—
637C2×C4—1062no—
638C2×C4—4244no—
639C2×C4—4244no—
640C2×C4—2128no—
641C2×C4—2122no—
642C2×C4—2122no—
643C2×C4—2122no—
644C2×C4C2×D4×D5312yes—
645C2×C4C2×D4×D5312yes—
646C2×C4C2×D4×D5311yescharacteristic
647C2×C4C2×Q8×D5312yes—
648C2×C4#1313326412yes—
649C2×C4C24×D5311yescharacteristic
650C8—22no—
651C8—22no—
652C8—534no—
653C8—1062no—
654C22—1064no—
655C22—2128no—
656C22—2122no—
657C22—2122no—
658C22#1681128612yes—
659C22#135×D5312yes—
660C22#1681143212yes—
661C22C22×D4×D5311yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—534no—
669C4—1062no—
670C4—1062no—
671C4—1062no—
672C4—2122no—
673C4—2122no—
674C4—2122no—
675C4#1681128612yes—
676C4C22×Q8×D5311yescharacteristic
677C4C2×#1313326411yescharacteristic
678C2—2124no—
679C2#2028759314yesdirect product factor
680C2C2×#1681128611yescharacteristic
681C2C2×#135×D5311yescharacteristic
682C2C2×#1681143211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#479C2
socleC23×C53C22×D4
prime radicalC22×D212C23
hypercenterC2×#479D53
hypocenterC53C2×#3381
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×#16811349C2semidirect
3. #20287593C2direct (N × H)
4. C2×#16811024C2semidirect
5. C2×#16811022C2semidirect
6. C2×#16811020C2semidirect
7. C2×#16810928C2semidirect
8. C2×#16810916C2semidirect
12. C2×#16810747C2semidirect
16. C2×C53×#479C2semidirect
19. #16811349C22semidirect
41. #16811024C22semidirect
42. #16811022C22semidirect
43. #16811020C22semidirect
44. #16810928C22semidirect
47. #16810916C22semidirect
49. #16810747C22semidirect
71. C53×#479C22semidirect
84. C2×#11719924Q8semidirect
228. #11719924C2×Q8semidirect
344. C2×#479D53semidirect
353. C2×C53#3381semidirect
388. #479C2×D53semidirect
418. C53C2×#3381semidirect
679. C2#20287593direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168113492
C2×#168113292
#202875932
C2×#168110242
C2×#168110222
C2×#168110202
C2×#168109282
C2×#168109162
C2×#168109242
C2×#168109222
C2×#168109022
C2×#168107472
C2×C4×#117199242
C2×#168107082
C2×C53×#4792
C2×#338153