Finite Group Databasebeta

← #28328909

Subgroups — #28328909

Order 13568.

3154 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×#16811692C212yesmaximal, complemented
2#20291242C214yesmaximal, complemented
3#20291241C214yesmaximal, complemented
4#20291240C214yesmaximal, complemented
5#20291239C214yesmaximal, complemented
6#20291204C214yesmaximal, complemented
7#20291195C211yesmaximal, characteristic, complemented
8#121×#6157C214yesmaximal, complemented
9#20291176C212yesmaximal, complemented
10C2×C4⋊C4×#6157C211yesmaximal, characteristic, complemented
11#537×D53C211yesmaximal, characteristic
12#16811692—216no—
13C2×Q8×#6157C2214yes—
14C2×D4×#6157C2218yes—
15C2×D4×#6157C2214yes—
16C2×D4×#6157C2214yes—
17C2×#13133296C2212yes—
18C2×#13133296C2214yes—
19C22×C4⋊#6157C2214yes—
20C22×C4⋊#6157C2211yescharacteristic
21C22×C4×#6157C2211yescharacteristic
22C22×C4×#6157C2212yes—
23(C2×#6157)⋊Q8C2212yes—
24(C2×#6157)⋊Q8C2212yes—
25#16811575C2212yes—
26#16811575C2212yes—
27#16811575C2214yes—
28#16811574C2214yes—
29#16811574C2214yes—
30#16811574C2214yes—
31#16811573C2218yes—
32#16811573C2218yes—
33#16811572C2218yes—
34#16811571C2214yes—
35#16811571C2214yes—
36#16811571C2218yes—
37#16811570C2218yes—
38#16811565C2214yes—
39C4⋊C4×#6157C2214yes—
40C4⋊C4×#6157C2214yes—
41C4⋊C4×#6157C2214yes—
42C22⋊C4×#6157C2218yes—
43C4×C22⋊#6157C2214yes—
44C4×C22⋊#6157C2214yes—
45C2×(C2×#6157)⋊C4C2212yes—
46C2×#41×D53C2212yes—
47#16811204C411yescharacteristic, complemented
48#16811203C414yescomplemented
49#16811202C414yescomplemented
50#16811201C412yescomplemented
51#16811200C414yescomplemented
52C22⋊Q8×D53C2214yes—
53#121×D53C2214yes—
54#121×D53C2214yes—
55C2×C4⋊C4×D53C2211yescharacteristic
56C53×#537C411yescharacteristic, complemented
57C23×#6157C2311yescharacteristic
58C23×#6157C2311yescharacteristic
59C23×#6157C2318yes—
60C23×#6157C2312yes—
61Q8×#6157—216no—
62D4×#6157—232no—
63D4×#6157—216no—
64D4×#6157—48no—
65#13133296—28no—
66#13133296—216no—
67C2×C4⋊#6157—216no—
68C2×C4⋊#6157D418yescomplemented
69C2×C4⋊#6157C2318yes—
70C2×C4⋊#6157C2312yes—
71C2×C4⋊#6157C2312yes—
72C2×C4⋊#6157C2314yes—
73C2×C4⋊#6157C2314yes—
74C2×C4⋊#6157C2314yes—
75C2×C22⋊#6157C2314yes—
76C2×C22⋊#6157C2314yes—
77C2×C22⋊#6157C2314yes—
78C2×C22⋊#6157C2318yes—
79C2×C22⋊#6157C2314yes—
80C2×C22⋊#6157C2314yes—
81C2×C4×#6157—24no—
82C2×C4×#6157—44no—
83C2×C4×#6157C2312yes—
84C2×C4×#6157C2312yes—
85C2×C4×#6157C2314yes—
86C2×C4×#6157C2318yes—
87C2×C4×#6157C2314yes—
88C2×C4×#6157C2314yes—
89(C2×#6157)⋊C4C2318yes—
90(C2×#6157)⋊C4C2314yes—
91(C2×#6157)⋊C4C2314yes—
92(C2×#6157)⋊C4C2314yes—
93(C2×#6157)⋊C4C2314yes—
94(C2×#6157)⋊C4C2318yes—
95C2×#11719949C2×C412yescomplemented
96C2×#11719945C2×C412yescomplemented
97C2×#11719945C2×C414yescomplemented
98C2×#11719947C2×C414yescomplemented
99C2×#11719947C2×C412yescomplemented
100#41×D53—28no—
101#41×D53—28no—
102C2×Q8×D53C2312yes—
103C2×D4×D53C2314yes—
104C2×D4×D53C2312yes—
105C2×D4×D53C2314yes—
106C22×C4×D53C2314yes—
107C22×C4×D53C2312yes—
108C22×C4×D53C2311yescharacteristic
109#13133197C2×C414yescomplemented
110#13133196C2×C414yescomplemented
111#13133195C2×C418yescomplemented
112#13133194C2×C418yescomplemented
113#13133193C2×C414yescomplemented
114#13133192C2×C414yescomplemented
115#13133192C2×C414yescomplemented
116#13133191C2×C414yescomplemented
117#13133191C2×C414yescomplemented
118#13133190C2×C418yescomplemented
119#13133190C2×C418yescomplemented
120#13133189C2×C418yescomplemented
121#13133189C2×C418yescomplemented
122#13133188C2×C414yescomplemented
123#13133188C2×C414yescomplemented
124C2×C4⋊Dic53C2×C411yescharacteristic, complemented
125C2×#11719919C2×C412yescomplemented
126C4⋊C4×D53C2×C414yescomplemented
127C4⋊C4×D53C2314yes—
128C4⋊C4×D53C2314yes—
129C22⋊C4×D53C2318yes—
130C2×#41×C53C2×C412yescomplemented
131C22⋊Q8×C53C2×C414yescomplemented
132#121×C53C2×C414yescomplemented
133#121×C53C2×C414yescomplemented
134C2×C4⋊C4×C53C2×C411yescharacteristic, complemented
135C23×D53C2414yes—
136C23×D53C2411yescharacteristic
137C22×#6157—22no—
138C22×#6157—22no—
139C22×#6157—22no—
140C22×#6157—22no—
141C22×#6157—216no—
142C22×#6157—42no—
143C22×#6157—42no—
144C22×#6157—41no—
145C22×#6157—41no—
146C22×#6157—48no—
147C22×#6157—48no—
148C22×#6157C2×D418yes—
149C22×#6157C2412yes—
150C22×#6157C2414yes—
151C22×#6157C2414yes—
152C22×#6157C2414yes—
153C22×#6157C2411yescharacteristic
154C22×#6157C2411yescharacteristic
155#41×C53—28no—
156C2×Q8×C53C22×C412yes—
157C2×D4×C53C22×C412yes—
158C2×D4×C53C22×C414yes—
159C2×D4×C53C22×C414yes—
160C22×C4×C53C22×C414yes—
161C22×C4×C53C22×C412yes—
162C22×C4×C53C22×C411yescharacteristic
163C2×C22⋊D53C22×C414yes—
164C2×C22⋊D53C22×C414yes—
165C2×C22⋊D53C22×C414yes—
166C2×C22⋊D53C22×C418yes—
167C22×Dic53C22×C414yes—
168C22×Dic53C22×C412yes—
169C22×Dic53C22×C411yescharacteristic
170#11719949—28no—
171Q8×D53—24no—
172Q8×D53—24no—
173#11719947—216no—
174#11719947—28no—
175D4×D53—28no—
176D4×D53—28no—
177D4×D53—24no—
178D4×D53—24no—
179D4×D53—44no—
180D4×D53—44no—
181#11719945—28no—
182#11719945—216no—
183C2×D212C22×C414yes—
184C2×D212C22×C412yes—
185C2×D212C22×C414yes—
186C2×C4×D53—28no—
187C2×C4×D53—28no—
188C2×C4×D53—42no—
189C2×C4×D53—42no—
190C2×C4×D53C22×C414yes—
191C2×C4×D53C22×C414yes—
192C2×C4×D53C22×C414yes—
193C2×C4×D53C22×C412yes—
194C2×C4×D53C2×D414yes—
195C2×C4×D53#4114yes—
196C2×C4×D53C2414yes—
197C2×C4×D53C2414yes—
198C2×C4×D53C2412yes—
199C2×Dic106C22×C414yes—
200C2×Dic106C22×C412yes—
201C22⋊#6157—28no—
202C22⋊#6157—216no—
203C22⋊#6157—28no—
204C22⋊#6157—28no—
205C22⋊#6157—44no—
206C22⋊#6157—44no—
207C4⋊#6157—216no—
208C4⋊#6157—24no—
209C4⋊#6157—24no—
210C4⋊#6157—44no—
211C4⋊#6157—44no—
212C4⋊#6157C2×D4116yes—
213C4×#6157—216no—
214C4×#6157—28no—
215C4×#6157—28no—
216C4×#6157—24no—
217C4×#6157—24no—
218C4×#6157—44no—
219C4⋊C4×C53C22×C414yes—
220C4⋊C4×C53C22×C414yes—
221C22⋊C4×C53C22×C418yes—
222C22⋊Dic53C22×C418yes—
223#11719921C22×C418yes—
224#11719921C22×C418yes—
225C4⋊Dic53C22×C414yes—
226C4⋊Dic53C22×C414yes—
227#11719919C22×C418yes—
228#11719919C22×C418yes—
229C23×C53C23×C414yes—
230C23×C53C23×C411yescharacteristic
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—24no—
236C22×D53—24no—
237C22×D53—24no—
238C22×D53—24no—
239C22×D53—24no—
240C22×D53—24no—
241C22×D53C23×C414yes—
242C22×D53C23×C411yescharacteristic
243C22×D53C22×D412yes—
244C22×D53C2×#4112yes—
245C22×D53C2511yescharacteristic
246C2×#6157—28no—
247C2×#6157—21no—
248C2×#6157—21no—
249C2×#6157—24no—
250C2×#6157—21no—
251C2×#6157—21no—
252C2×#6157—24no—
253C2×#6157—24no—
254C2×#6157—24no—
255C2×#6157—22no—
256C2×#6157—24no—
257C2×#6157—24no—
258C2×#6157—24no—
259C2×#6157—22no—
260C2×#6157—22no—
261C2×#6157—24no—
262C2×#6157—48no—
263C2×#6157—44no—
264C2×#6157—816no—
265C2×#6157C22×D418yes—
266C2×#6157H(5,𝔽2)12yes—
267C2×#61572−1+412yes—
268Q8×C53—24no—
269D4×C53—28no—
270D4×C53—24no—
271D4×C53—44no—
272C2×C4×C53—28no—
273C2×C4×C53—42no—
274C2×C4×C53C4×D414yescomplemented
275C2×C4×C53C23×C414yes—
276C2×C4×C53C23×C414yes—
277C2×C4×C53C23×C412yes—
278C22⋊D53—28no—
279C22⋊D53—28no—
280C22⋊D53—28no—
281C22⋊D53—48no—
282C2×Dic53—28no—
283C2×Dic53—42no—
284C2×Dic53C4×D414yescomplemented
285C2×Dic53C23×C414yes—
286C2×Dic53C23×C414yes—
287C2×Dic53C23×C412yes—
288D212—28no—
289D212—24no—
290D212—44no—
291C4×D53—24no—
292C4×D53—24no—
293C4×D53—24no—
294C4×D53—24no—
295C4×D53—28no—
296C4×D53—28no—
297C4×D53—44no—
298C4×D53C4×D418yescomplemented
299C4×D53C22×D414yes—
300C4×D53C2×#4114yes—
301Dic106—24no—
302Dic106—28no—
303#34274—531nomaximal, Sylow
304C22×C53—21no—
305C22×C53—21no—
306C22×C53—24no—
307C22×C53—24no—
308C22×C53—24no—
309C22×C53C2×C4×D412yes—
310C22×C53C24×C411yescharacteristic
311C2×D53—21no—
312C2×D53—21no—
313C2×D53—22no—
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—24no—
318C2×D53—24no—
319C2×D53—24no—
320C2×D53—44no—
321C2×D53—44no—
322C2×D53—44no—
323C2×D53—44no—
324C2×D53C2×C4×D412yes—
325C2×D53C23×D411yescharacteristic
326C2×D53C22×#4111yescharacteristic
327C2×D53C2×H(5,𝔽2)11yescharacteristic
328C2×D53C2×2−1+411yescharacteristic
329C2×D53#58511yescharacteristic
330C2×D53#58511yescharacteristic
331#6157—22no—
332#6157—22no—
333#6157—28no—
334#6157—42no—
335#6157—44no—
336#6157—44no—
337C4×C53—24no—
338C4×C53—24no—
339C4×C53C2×C4×D414yes—
340Dic53—24no—
341Dic53—24no—
342Dic53C2×C4×D414yes—
343C2×#537—531no—
344C2×#520—532no—
345#2363—534no—
346#2362—534no—
347#2361—534no—
348#2360—534no—
349#2325—534no—
350#2316—531no—
351C4×#121—534no—
352#2297—532no—
353C2×C4×C4⋊C4—531no—
354C2×C53—22no—
355C2×C53—44no—
356C2×C53C22×C4×D411yescharacteristic
357C2×C53C4×H(5,𝔽2)11yescharacteristic
358C2×C53C4×2−1+411yescharacteristic
359D53—22no—
360D53—44no—
361D53#349211yescharacteristic
362D53#349311yescharacteristic
363D53#349611yescharacteristic
364D53#349711yescharacteristic
365C22×#41—532no—
366#537—532no—
367#537—534no—
368#537—534no—
369#537—534no—
370#537—531no—
371#537#615711yescharacteristic, complemented
372C2×C22⋊Q8—534no—
373C2×#121—534no—
374C2×#121—534no—
375#520—10616no—
376C2×C4×Q8—534no—
377C2×C4×D4—538no—
378C2×C4×D4—534no—
379C2×C4×D4—534no—
380C2×#117—532no—
381C2×#117—534no—
382C22×C4⋊C4—531no—
383C22×C4⋊C4—531no—
384C22×C4⋊C4—534no—
385C22×C42—531no—
386C22×C42—532no—
387#391—532no—
388#391—532no—
389#390—532no—
390#390—532no—
391#390—534no—
392#389—534no—
393#389—534no—
394#389—534no—
395#388—538no—
396#388—538no—
397#387—538no—
398#386—534no—
399#386—538no—
400#386—534no—
401#385—538no—
402#380—534no—
403C4×C4⋊C4—534no—
404C4×C4⋊C4—534no—
405C4×C4⋊C4—534no—
406C4×C22⋊C4—534no—
407C4×C22⋊C4—534no—
408C4×C22⋊C4—538no—
409C2×#95—532no—
410C53#3427411yescharacteristic, complemented, Sylow
411C2×#41—532no—
412C2×#41—534no—
413C2×#41—532no—
414C2×#41—534no—
415C2×#41—532no—
416C2×#41—1068no—
417C2×#41—1068no—
418C2×#41C2×#615712yescomplemented
419C22×Q8—532no—
420C22×D4—534no—
421C22×D4—532no—
422C22×D4—534no—
423C23×C4—531no—
424C23×C4—532no—
425C23×C4—534no—
426C23×C4—532no—
427C23×C4—531no—
428C23×C4—538no—
429C23×C4—531no—
430C22⋊Q8—534no—
431C22⋊Q8—534no—
432C22⋊Q8—538no—
433C22⋊Q8—534no—
434C22⋊Q8—538no—
435C22⋊Q8C2×#615714yescomplemented
436#121—534no—
437#121—534no—
438#121—538no—
439#121—538no—
440#121—534no—
441#121—534no—
442#121—534no—
443#121—534no—
444#121—538no—
445#121—538no—
446#121C2×#615714yescomplemented
447#121C2×#615714yescomplemented
448C4×Q8—10616no—
449C4×D4—10616no—
450C4×D4—10632no—
451C4×D4—2128no—
452#117—10616no—
453#117—1068no—
454C2×C4⋊C4—534no—
455C2×C4⋊C4—538no—
456C2×C4⋊C4—532no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4—534no—
459C2×C4⋊C4—534no—
460C2×C4⋊C4—534no—
461C2×C4⋊C4—532no—
462C2×C4⋊C4—538no—
463C2×C4⋊C4—532no—
464C2×C4⋊C4—534no—
465C2×C4⋊C4—534no—
466C2×C4⋊C4—10616no—
467C2×C4⋊C4C2×#615711yescharacteristic, complemented
468C2×C22⋊C4—538no—
469C2×C22⋊C4—534no—
470C2×C22⋊C4—538no—
471C2×C22⋊C4—534no—
472C2×C22⋊C4—534no—
473C2×C22⋊C4—534no—
474C2×C22⋊C4—534no—
475C2×C42—534no—
476C2×C42—538no—
477C2×C42—534no—
478C2×C42—532no—
479C2×C42—532no—
480C2×C42—534no—
481C2×C42—1064no—
482C2×C42—2124no—
483#95—538no—
484#95—534no—
485#95—534no—
486#95—538no—
487#95—534no—
488#95—534no—
489C24—531no—
490C24—534no—
491#41—28no—
492#41—10616no—
493#41—10616no—
494#41—1068no—
495#41—1068no—
496#41—1068no—
497C2×Q8—534no—
498C2×Q8—532no—
499C2×Q8—1064no—
500C2×Q8—1064no—
501C2×Q8C22×#615712yes—
502C2×D4—534no—
503C2×D4—534no—
504C2×D4—534no—
505C2×D4—538no—
506C2×D4—534no—
507C2×D4—532no—
508C2×D4—534no—
509C2×D4—1064no—
510C2×D4—1064no—
511C2×D4—1068no—
512C2×D4—1068no—
513C2×D4—2124no—
514C2×D4—2124no—
515C2×D4C22×#615714yes—
516C2×D4C22×#615712yes—
517C2×D4C22×#615714yes—
518C22×C4—531no—
519C22×C4—534no—
520C22×C4—534no—
521C22×C4—532no—
522C22×C4—532no—
523C22×C4—531no—
524C22×C4—531no—
525C22×C4—534no—
526C22×C4—534no—
527C22×C4—538no—
528C22×C4—532no—
529C22×C4—534no—
530C22×C4—534no—
531C22×C4—534no—
532C22×C4—534no—
533C22×C4—534no—
534C22×C4—532no—
535C22×C4—534no—
536C22×C4—534no—
537C22×C4—1068no—
538C22×C4—1068no—
539C22×C4—1062no—
540C22×C4—1062no—
541C22×C4—10616no—
542C22×C4—1062no—
543C22×C4—1062no—
544C22×C4—2122no—
545C22×C4—2122no—
546C22×C4—2128no—
547C22×C4—2128no—
548C22×C4—2122no—
549C22×C4—2122no—
550C22×C4—2121no—
551C22×C4—2121no—
552C22×C4C22×#615714yes—
553C22×C4C22×#615712yes—
554C22×C4C22×#615711yescharacteristic
555C4⋊C4—5316no—
556C4⋊C4—538no—
557C4⋊C4—534no—
558C4⋊C4—538no—
559C4⋊C4—534no—
560C4⋊C4—1064no—
561C4⋊C4—10616no—
562C4⋊C4—1064no—
563C4⋊C4—2124no—
564C4⋊C4—2124no—
565C4⋊C4C22×#615714yes—
566C4⋊C4C22×#615714yes—
567C22⋊C4—538no—
568C22⋊C4—538no—
569C22⋊C4—538no—
570C22⋊C4—1068no—
571C22⋊C4—10616no—
572C22⋊C4—1068no—
573C22⋊C4—1068no—
574C22⋊C4—2124no—
575C22⋊C4—2124no—
576C22⋊C4C22×#615718yes—
577C42—1064no—
578C42—1064no—
579C42—1068no—
580C42—1068no—
581C42—10616no—
582C42—2124no—
583C23—531no—
584C23—532no—
585C23—532no—
586C23—531no—
587C23—534no—
588C23—1061no—
589C23—1061no—
590C23—1061no—
591C23—1061no—
592C23—1064no—
593C23—1064no—
594C23—1064no—
595C23—1064no—
596C23—1064no—
597C23—1064no—
598C23C23×#615714yes—
599C23C23×#615711yescharacteristic
600Q8—24no—
601Q8—1068no—
602Q8—1064no—
603D4—28no—
604D4—24no—
605D4—44no—
606D4—1068no—
607D4—1068no—
608D4—1068no—
609D4—1068no—
610D4—1064no—
611D4—2124no—
612D4—2128no—
613C2×C4—28no—
614C2×C4—42no—
615C2×C4—534no—
616C2×C4—532no—
617C2×C4—538no—
618C2×C4—534no—
619C2×C4—534no—
620C2×C4—538no—
621C2×C4—532no—
622C2×C4—532no—
623C2×C4—534no—
624C2×C4—534no—
625C2×C4—1068no—
626C2×C4—1064no—
627C2×C4—1064no—
628C2×C4—1064no—
629C2×C4—1064no—
630C2×C4—1068no—
631C2×C4—1061no—
632C2×C4—1061no—
633C2×C4—1064no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1064no—
637C2×C4—1068no—
638C2×C4—1068no—
639C2×C4—1064no—
640C2×C4—1062no—
641C2×C4—1064no—
642C2×C4—1064no—
643C2×C4—1064no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—1064no—
647C2×C4—1064no—
648C2×C4—42416no—
649C2×C4—2124no—
650C2×C4—2122no—
651C2×C4—2128no—
652C2×C4—2124no—
653C2×C4D4×#615714yescomplemented
654C2×C4C23×#615714yes—
655C2×C4C23×#615714yes—
656C2×C4C23×#615712yes—
657C22—21no—
658C22—21no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—531no—
663C22—531no—
664C22—531no—
665C22—531no—
666C22—531no—
667C22—531no—
668C22—532no—
669C22—1062no—
670C22—1062no—
671C22—1062no—
672C22—1062no—
673C22—1061no—
674C22—1061no—
675C22—1064no—
676C22—1064no—
677C22—1064no—
678C22—2124no—
679C22—2124no—
680C22—2124no—
681C22—2124no—
682C22C2×D4×#615712yes—
683C22C24×#615711yescharacteristic
684C4—24no—
685C4—24no—
686C4—534no—
687C4—1062no—
688C4—1062no—
689C4—1068no—
690C4—1064no—
691C4—1064no—
692C4—2124no—
693C4—2122no—
694C4—2124no—
695C4C2×D4×#615714yes—
696C2—22no—
697C2—44no—
698C2—531no—
699C2—531no—
700C2—531no—
701C2—531no—
702C2—1062no—
703C2—2124no—
704C2C22×D4×#615711yescharacteristic
705C2H(5,𝔽2)×#615711yescharacteristic
706C22−1+4×#615711yescharacteristic
subgroupG/H
center, FrattiniC22C24×#6157
commutator, socleC22×C53C24×C4
FittingC53×#537C4
prime radical#537×D53C2
cosocleC22×D53C25
hypercenter#537#6157
hypocenterC53#34274
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #537

Complements

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

NH ≅ G/Ntype
1. C2×#16811692C2semidirect
2. #20291242C2semidirect
3. #20291241C2semidirect
4. #20291240C2semidirect
5. #20291239C2semidirect
6. #20291204C2semidirect
7. #20291195C2semidirect
8. #121×#6157C2semidirect
9. #20291176C2semidirect
10. C2×C4⋊C4×#6157C2semidirect
47. #16811204C4semidirect
48. #16811203C4semidirect
49. #16811202C4semidirect
50. #16811201C4semidirect
51. #16811200C4semidirect
56. C53×#537C4semidirect
68. C2×C4⋊#6157D4semidirect
95. C2×#11719949C2×C4semidirect
96. C2×#11719945C2×C4semidirect
97. C2×#11719945C2×C4semidirect
98. C2×#11719947C2×C4semidirect
99. C2×#11719947C2×C4semidirect
109. #13133197C2×C4semidirect
110. #13133196C2×C4semidirect
111. #13133195C2×C4semidirect
112. #13133194C2×C4semidirect
113. #13133193C2×C4semidirect
114. #13133192C2×C4semidirect
115. #13133192C2×C4semidirect
116. #13133191C2×C4semidirect
117. #13133191C2×C4semidirect
118. #13133190C2×C4semidirect
119. #13133190C2×C4semidirect
120. #13133189C2×C4semidirect
121. #13133189C2×C4semidirect
122. #13133188C2×C4semidirect
123. #13133188C2×C4semidirect
124. C2×C4⋊Dic53C2×C4semidirect
125. C2×#11719919C2×C4semidirect
126. C4⋊C4×D53C2×C4semidirect
130. C2×#41×C53C2×C4semidirect
131. C22⋊Q8×C53C2×C4semidirect
132. #121×C53C2×C4semidirect
133. #121×C53C2×C4semidirect
134. C2×C4⋊C4×C53C2×C4semidirect
274. C2×C4×C53C4×D4semidirect
284. C2×Dic53C4×D4semidirect
298. C4×D53C4×D4semidirect
371. #537#6157semidirect
410. C53#34274semidirect
418. C2×#41C2×#6157semidirect
435. C22⋊Q8C2×#6157semidirect
446. #121C2×#6157semidirect
447. #121C2×#6157semidirect
467. C2×C4⋊C4C2×#6157semidirect
653. C2×C4D4×#6157semidirect

Maximal subgroups

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

subgroupindex
C2×#168116922
#202912422
#202912412
#202912402
#202912392
#202912042
#202911952
#121×#61572
#202911762
C2×C4⋊C4×#61572
#537×D532
#3427453