Finite Group Databasebeta

← #6630260

Subgroups — #6630260

Order 512.

2306 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3115C211yesmaximal, characteristic
2C2×#3107C211yesmaximal, characteristic, complemented
3#35298C211yesmaximal, characteristic, complemented
4C4×#520C211yesmaximal, characteristic, complemented
5#33196C211yesmaximal, characteristic, complemented
6#33195C211yesmaximal, characteristic, complemented
7#33165C211yesmaximal, characteristic, complemented
8#33164C211yesmaximal, characteristic, complemented
9#33115C214yesmaximal, complemented
10#33033C211yesmaximal, characteristic, complemented
11#33032C211yesmaximal, characteristic, complemented
12#33025C211yesmaximal, characteristic, complemented
13#33024C211yesmaximal, characteristic, complemented
14#32919C214yesmaximal, complemented
15#21512C214yesmaximal, complemented
16#21510C214yesmaximal, complemented
17#21394C211yesmaximal, characteristic, complemented
18#21386C211yesmaximal, characteristic, complemented
19#20815C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#520C2212yes—
23C2×C4×#41C2211yescharacteristic
24#3115—28no—
25#3107—28no—
26C2×#485C2212yes—
27C2×#482C2212yes—
28C2×#475C2211yescharacteristic
29C2×#475C2211yescharacteristic
30C2×#474C2211yescharacteristic
31C2×#474C2211yescharacteristic
32C2×#464C2214yes—
33C2×#462C2211yescharacteristic
34C2×#460C2211yescharacteristic
35C2×#463C2214yes—
36C2×#461C2211yescharacteristic
37C2×#459C2211yescharacteristic
38C2×#452C2212yes—
39C2×#449C2212yes—
40C2×#442C2212yes—
41C2×#440C2212yes—
42C2×C4×Q16C2212yes—
43C2×C4×SD16C2212yes—
44C2×#432C2211yescharacteristic
45C2×#431C2211yescharacteristic
46#2868C2211yescharacteristic
47#2862C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2620C2214yes—
51#2566—22no—
52#2545—21no—
53#2545—21no—
54#2500—22no—
55#2432—21no—
56#2432—21no—
57#2326C2214yes—
58#2276C2212yes—
59#2275—22no—
60#2275C2212yes—
61#2274—22no—
62#2274C2212yes—
63C42×Q8C2211yescharacteristic
64C42×Q8C2211yescharacteristic
65C42×D4—21no—
66C42×D4—21no—
67C42×D4C2211yescharacteristic
68C42×D4C2211yescharacteristic
69C4×#117—21no—
70C4×#117C2211yescharacteristic
71C2×C4×C4⋊C4—21no—
72C2×C4×C4⋊C4C2211yescharacteristic
73#1988C2211yescharacteristic
74#1988C2211yescharacteristic
75#1988C2211yescharacteristic
76#1988C2211yescharacteristic
77#1983C2214yes—
78#1983C2214yes—
79#1982C2211yescharacteristic
80#1982C2211yescharacteristic
81#1981C2211yescharacteristic
82#1981C2211yescharacteristic
83#1948C2214yes—
84#1947C2214yes—
85#1928C2214yes—
86#1927C2214yes—
87#1926C2214yes—
88#1925C2214yes—
89#1880C2214yes—
90#1879C2214yes—
91#1878C2214yes—
92#1877C2214yes—
93#1874C2214yes—
94#1872C2214yes—
95#1842C2211yescharacteristic
96#1842C2211yescharacteristic
97#1831C2211yescharacteristic
98#1831C2211yescharacteristic
99#1803C2214yes—
100#1802C2214yes—
101#1798C2214yes—
102#1768C2214yes—
103#1763C2214yes—
104C4×#102C2214yes—
105C22×#41—21no—
106C22×#41C2311yescharacteristic
107C22×Q16C2312yes—
108C22×SD16C2312yes—
109C22×SD16C2312yes—
110C22×D8C2312yes—
111#533—24no—
112#533—24no—
113#532—24no—
114#532—24no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2311yescharacteristic
120C2×#127C2311yescharacteristic
121C2×#125—21no—
122C2×#124—21no—
123C2×#124—21no—
124C2×#124—21no—
125C2×#124C2314yes—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8C2312yes—
128C2×#121—21no—
129C2×#121C2312yes—
130#520—28no—
131#520—28no—
132C4×#41—24no—
133C4×#41D418yes—
134C2×C4×Q8—21no—
135C2×C4×Q8C2312yes—
136C2×C4×Q8C2312yes—
137C2×C4×Q8C2311yescharacteristic
138C2×C4×Q8C2311yescharacteristic
139C2×C4×Q8C2312yes—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—22no—
143C2×C4×D4—22no—
144C2×C4×D4—21no—
145C2×C4×D4C2312yes—
146C2×C4×D4C2312yes—
147C2×C4×D4C2311yescharacteristic
148C2×C4×D4C2311yescharacteristic
149C2×C4×D4C2312yes—
150C2×#117—21no—
151C2×#117—22no—
152C2×#117—21no—
153C2×#117C2311yescharacteristic
154C2×#117C2312yes—
155C22×C4⋊C4—22no—
156C22×C4⋊C4C2312yes—
157C22×C42—21no—
158C22×C42—21no—
159C22×C42—21no—
160C22×C42—21no—
161C22×C42C2311yescharacteristic
162#485—28no—
163#482—28no—
164#475—24no—
165#475—24no—
166#474—24no—
167#474—24no—
168#464—216no—
169#463—216no—
170#462—24no—
171#461—24no—
172#460—24no—
173#459—24no—
174#452—28no—
175#449—28no—
176#442—28no—
177#440—28no—
178C4×Q16—28no—
179C4×SD16—28no—
180#432—24no—
181#431—24no—
182C2×#107C2312yes—
183C2×#107C2312yes—
184C2×#106C2312yes—
185C2×#106C2312yes—
186C2×C4⋊C8C2311yescharacteristic
187C2×C4⋊C8C2311yescharacteristic
188C2×C4⋊C8C2314yes—
189C2×C4⋊C8C2314yes—
190C2×C4⋊C8C2311yescharacteristic
191C2×C4⋊C8C2311yescharacteristic
192C2×#103C2312yes—
193C2×#103C2312yes—
194C2×#103C2312yes—
195C2×#103C2312yes—
196C2×#103C2314yes—
197C2×#103C2314yes—
198C2×#102C2312yes—
199C2×#102C2312yes—
200C2×#102C2312yes—
201C2×#102C2312yes—
202C2×#102C2314yes—
203C2×#102C2314yes—
204C2×C22⋊C8C2312yes—
205C2×C22⋊C8C2312yes—
206C2×#97C2312yes—
207C2×C4×C8C2312yes—
208#396—24no—
209#396—24no—
210#394—24no—
211#394—24no—
212#391—21no—
213#391—21no—
214#391C2314yes—
215#390—22no—
216#390—22no—
217#390—21no—
218#390—21no—
219#390C2314yes—
220#388—24no—
221#388—24no—
222#385—24no—
223#385—24no—
224#384—22no—
225#384C2314yes—
226#382—22no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—22no—
234C4×C4⋊C4—22no—
235C4×C4⋊C4—22no—
236C4×C4⋊C4—22no—
237C4×C4⋊C4—22no—
238C4×C4⋊C4D412yes—
239C4×C4⋊C4D411yescharacteristic
240C4×C4⋊C4D411yescharacteristic
241C4×C4⋊C4C2312yes—
242C4×C4⋊C4C2312yes—
243C4×C4⋊C4C2312yes—
244C4×C4⋊C4C2312yes—
245C4×C4⋊C4C2311yescharacteristic
246C4×C4⋊C4C2311yescharacteristic
247C4×C4⋊C4C2312yes—
248C4×C22⋊C4—22no—
249C4×C22⋊C4—22no—
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252C4×C22⋊C4—22no—
253C4×C22⋊C4—22no—
254C4×C22⋊C4—22no—
255C4×C22⋊C4—22no—
256C4×C22⋊C4—22no—
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D412yes—
260#376—22no—
261#376C2312yes—
262C2×#95—21no—
263C2×#95—22no—
264C43—21no—
265C43—21no—
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2314yes—
273#336C2314yes—
274C2×#41—24no—
275C2×#41—24no—
276C2×#41—22no—
277C2×#41—44no—
278C2×#41—82no—
279C2×#41—82no—
280C2×#41C2×D414yes—
281C22×Q8—21no—
282C22×Q8—21no—
283C22×Q8C2412yes—
284C22×Q8C2411yescharacteristic
285C22×D4—21no—
286C22×D4—22no—
287C22×D4—21no—
288C22×D4—21no—
289C22×D4C2412yes—
290C22×D4C2411yescharacteristic
291C23×C4—21no—
292C23×C4—22no—
293C23×C4—21no—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4—21no—
297C23×C4—22no—
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D411yescharacteristic
300C23×C4C2411yescharacteristic
301C2×Q16—24no—
302C2×Q16—28no—
303C2×SD16—24no—
304C2×SD16—28no—
305C2×SD16—24no—
306C2×SD16—28no—
307C2×D8—24no—
308C2×D8—28no—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C22×C8C2412yes—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8—22no—
316C4⋊Q8—22no—
317C4⋊Q8—22no—
318C4⋊Q8—22no—
319C4⋊Q8—82no—
320C4⋊Q8—82no—
321#127—22no—
322#127—22no—
323#125—44no—
324#124—28no—
325#124—28no—
326#124—44no—
327#124—82no—
328#124—82no—
329C22⋊Q8—24no—
330C22⋊Q8—24no—
331C22⋊Q8—44no—
332#121—24no—
333#121—24no—
334#121—44no—
335C4×Q8—24no—
336C4×Q8—24no—
337C4×Q8—22no—
338C4×Q8—22no—
339C4×Q8—24no—
340C4×Q8—24no—
341C4×Q8—24no—
342C4×Q8—44no—
343C4×Q8C2×D414yes—
344C4×Q8C2×D414yes—
345C4×Q8#4118yescomplemented
346C4×D4—216no—
347C4×D4—216no—
348C4×D4—24no—
349C4×D4—28no—
350C4×D4—28no—
351C4×D4—24no—
352C4×D4—24no—
353C4×D4—22no—
354C4×D4—22no—
355C4×D4—24no—
356C4×D4—24no—
357C4×D4—44no—
358C4×D4C2×D414yes—
359C4×D4C2×D414yes—
360C4×D4#4118yescomplemented
361#117—216no—
362#117—22no—
363#117—28no—
364#117—24no—
365#117—24no—
366#117—44no—
367#117C2×D414yes—
368C2×C4⋊C4—216no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—24no—
375C2×C4⋊C4—24no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4C2×D412yes—
385C2×C4⋊C4C2×D412yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2411yescharacteristic
389C2×C4⋊C4C2411yescharacteristic
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2412yes—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—24no—
404C2×C22⋊C4C2×D412yes—
405C2×C22⋊C4C2×D412yes—
406C2×C42—21no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—28no—
412C2×C42—22no—
413C2×C42—21no—
414C2×C42—21no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42—82no—
421C2×C42—82no—
422C2×C42—82no—
423C2×C42C2×D411yescharacteristic
424C2×C42C2×D411yescharacteristic
425C2×C42C2×D411yescharacteristic
426C2×C42C2×D411yescharacteristic
427C2×C42C2×D412yes—
428C2×C42C2×D412yes—
429C2×C42C2×D411yescharacteristic
430C2×C42C2×D411yescharacteristic
431C2×C42C2×D414yes—
432C2×C42#4114yes—
433C2×C42C2412yes—
434C2×C42C2411yescharacteristic
435C2×C42C2411yescharacteristic
436C2×C42C2412yes—
437#107—24no—
438#107—24no—
439#106—24no—
440#106—24no—
441C4⋊C8—22no—
442C4⋊C8—22no—
443C4⋊C8—22no—
444C4⋊C8—22no—
445C4⋊C8—28no—
446C4⋊C8—28no—
447#103—24no—
448#103—24no—
449#103—24no—
450#103—24no—
451#103—28no—
452#103—28no—
453#102—24no—
454#102—24no—
455#102—24no—
456#102—24no—
457#102—28no—
458#102—28no—
459C22⋊C8—24no—
460C22⋊C8—24no—
461#97—24no—
462C4×C8—24no—
463#95—22no—
464#95—22no—
465#95—22no—
466#95—21no—
467#95—21no—
468#95—22no—
469#95—22no—
470#95—24no—
471#95—24no—
472#95C2×D412yes—
473#95C2×D412yes—
474#95C2×D412yes—
475#95C2×D412yes—
476C24—21no—
477C24—22no—
478C24C22×D411yescharacteristic
479#41—216no—
480#41—28no—
481#41—28no—
482#41—816no—
483C2×Q8—21no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—24no—
487C2×Q8—24no—
488C2×Q8—22no—
489C2×Q8—42no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—42no—
493C2×Q8—42no—
494C2×Q8—42no—
495C2×Q8C22×D412yes—
496C2×Q8C2×#4114yes—
497C2×D4—28no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—82no—
512C2×D4—82no—
513C2×D4C22×D412yes—
514C2×D4C2×#4114yes—
515C22×C4—28no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—28no—
527C22×C4—28no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—28no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—44no—
538C22×C4—82no—
539C22×C4—82no—
540C22×C4—82no—
541C22×C4—82no—
542C22×C4—82no—
543C22×C4—82no—
544C22×C4—82no—
545C22×C4—82no—
546C22×C4—82no—
547C22×C4#12114yes—
548C22×C4#12114yes—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D412yes—
558C22×C4C22×D411yescharacteristic
559C22×C4C2×#4112yes—
560C22×C4C2511yescharacteristic
561Q16—48no—
562SD16—48no—
563SD16—48no—
564D8—48no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—24no—
570C2×C8—24no—
571C2×C8—24no—
572C2×C8—24no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—28no—
579C4⋊C4—24no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—44no—
592C4⋊C4—44no—
593C4⋊C4—42no—
594C4⋊C4—84no—
595C4⋊C4—84no—
596C4⋊C4C22×D412yes—
597C4⋊C4C22×D412yes—
598C4⋊C4C2×#4114yes—
599C4⋊C4C2×#4114yes—
600C22⋊C4—28no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—24no—
604C22⋊C4—28no—
605C22⋊C4—24no—
606C22⋊C4—24no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—48no—
611C22⋊C4—48no—
612C22⋊C4—84no—
613C22⋊C4—84no—
614C42—28no—
615C42—24no—
616C42—24no—
617C42—24no—
618C42—28no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—22no—
625C42—42no—
626C42—42no—
627C42—44no—
628C42—42no—
629C42—42no—
630C42—82no—
631C42—82no—
632C42—82no—
633C42—82no—
634C42—82no—
635C42#12114yes—
636C42#12114yes—
637C42C22×D412yes—
638C42C22×D412yes—
639C42C2×#4112yes—
640C42C2×#4112yes—
641C42C2×#4114yes—
642C42C2×#4114yes—
643C23—22no—
644C23—22no—
645C23—22no—
646C23—24no—
647C23—21no—
648C23—21no—
649C23—42no—
650C23—41no—
651C23—41no—
652C23—44no—
653C23—42no—
654C23—44no—
655C23—42no—
656C23—42no—
657C23C2×#12112yes—
658C23C23×D411yescharacteristic
659Q8—22no—
660Q8—24no—
661Q8—42no—
662Q8—42no—
663Q8—44no—
664Q8—84no—
665Q8—84no—
666Q8#53214yes—
667D4—216no—
668D4—22no—
669D4—24no—
670D4—42no—
671D4—42no—
672D4—44no—
673D4—84no—
674D4—88no—
675D4—84no—
676D4#53214yes—
677C2×C4—216no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—48no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—84no—
721C2×C4—88no—
722C2×C4—88no—
723C2×C4—88no—
724C2×C4—88no—
725C2×C4C2×#12112yes—
726C2×C4C2×#12112yes—
727C2×C4C2×#12112yes—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4#52514yes—
731C2×C4#52514yes—
732C2×C4#57612yes—
733C2×C4#57712yes—
734C2×C4C23×D411yescharacteristic
735C2×C4C22×#4112yes—
736C2×C4C22×#4112yes—
737C2×C4C22×#4111yescharacteristic
738C8—42no—
739C8—42no—
740C8—42no—
741C8—42no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—24no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—44no—
750C22—42no—
751C22—44no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—84no—
756C22—84no—
757C22C22×#12111yescharacteristic
758C22C2×#52512yes—
759C22C2×#57611yescharacteristic
760C22C2×#57711yescharacteristic
761C22#358612yes—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—24no—
767C4—24no—
768C4—24no—
769C4—42no—
770C4—42no—
771C4—42no—
772C4—44no—
773C4—44no—
774C4—42no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4#304514yes—
779C4C2×#53211yescharacteristic
780C4C2×#53211yescharacteristic
781C4#344412yes—
782C2—42no—
783C2—44no—
784C2—162no—
785C2#3662411yescharacteristic
786C2C2×#304511yescharacteristic
787C2#6042711yescharacteristic
788C2#6059612yes—
789C2#6059912yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3115C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3107C2semidirect
3. #35298C2semidirect
4. C4×#520C2semidirect
5. #33196C2semidirect
6. #33195C2semidirect
7. #33165C2semidirect
8. #33164C2semidirect
9. #33115C2semidirect
10. #33033C2semidirect
11. #33032C2semidirect
12. #33025C2semidirect
13. #33024C2semidirect
14. #32919C2semidirect
15. #21512C2semidirect
16. #21510C2semidirect
17. #21394C2semidirect
18. #21386C2semidirect
19. #20815C2semidirect
345. C4×Q8#41semidirect
360. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#31152
C2×#31072
#352982
C4×#5202
#331962
#331952
#331652
#331642
#331152
#330332
#330322
#330252
#330242
#329192
#215122
#215102
#213942
#213862
#208152