Finite Group Databasebeta

← #7631056

Subgroups — #7631056

Order 512.

5050 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C214yesmaximal, complemented
2#36625C212yesmaximal
3#36481C214yesmaximal, complemented
4#36480C214yesmaximal, complemented
5#36478C218yesmaximal, complemented
6#36288C214yesmaximal, complemented
7#36287C214yesmaximal, complemented
8#36284C218yesmaximal, complemented
9#35173C211yesmaximal, characteristic, complemented
10#35167C211yesmaximal, characteristic, complemented
11#35159C212yesmaximal, complemented
12#35151C212yesmaximal
13#35120C214yesmaximal, complemented
14#35014C214yesmaximal
15#35012C214yesmaximal
16#34271C212yesmaximal, complemented
17#34213C212yesmaximal, complemented
18#34179C212yesmaximal
19C2×C4×#117C211yesmaximal, characteristic
20C2×#544C2212yes—
21C2×#533C2212yes—
22C22×#117C2211yescharacteristic
23C22×#117C2211yescharacteristic
24C23×C42C2211yescharacteristic
25#2864C2218yescomplemented
26#2863C2218yescomplemented
27#2863C2218yescomplemented
28#2862C2214yescomplemented
29#2859C2214yescomplemented
30#2857C2212yes—
31#2857C2212yes—
32#2857C2212yes—
33#2857C2212yes—
34#2857C2214yes—
35#2857C2214yes—
36#2855C2214yes—
37#2855C2214yes—
38#2855C2218yes—
39#2851C2214yes—
40#2851C2214yes—
41#2851C2218yes—
42#2848C2214yes—
43#2848C2214yes—
44#2659C2214yes—
45#2659C2214yes—
46#2646C2218yes—
47#2626C2218yes—
48#2612C22116yescomplemented
49#2612C22116yescomplemented
50#2606C22116yescomplemented
51#2605C22116yescomplemented
52#2589C22116yes—
53#2587C22116yes—
54#2584C2218yescomplemented
55#2574C22116yes—
56#2567C2214yescomplemented
57#2556C22116yes—
58#2552C2214yescomplemented
59#2551C2214yescomplemented
60#2550C2218yescomplemented
61#2546C2214yescomplemented
62#2522C22116yes—
63#2509C2218yescomplemented
64#2508C2218yescomplemented
65#2507C2218yescomplemented
66#2506C2218yescomplemented
67#2497C2218yes—
68#2492C2218yes—
69#2465C22116yes—
70#2441C2218yes—
71#2441C2218yes—
72#2439C2218yes—
73#2439C2218yes—
74#2429C2218yes—
75#2423C2218yes—
76#2370C2218yescomplemented
77#2370C2218yescomplemented
78#2370C2218yescomplemented
79#2369C2218yescomplemented
80#2369C2214yescomplemented
81#2365C2218yescomplemented
82#2365C2214yescomplemented
83#2355C2218yescomplemented
84#2355C2214yescomplemented
85Q8×C4⋊C4C2214yescomplemented
86#2347C2218yes—
87#2347C2218yes—
88#2346C2218yes—
89#2346C2218yes—
90#2329C2218yes—
91#2329C2218yes—
92#2317C2214yes—
93#2316C2212yes—
94#2316C2212yes—
95#2316C2212yes—
96#2312C2218yes—
97C4×C4⋊Q8C2214yescomplemented
98C4×C4⋊Q8C2214yescomplemented
99C4×#125C2218yescomplemented
100C4×C22⋊Q8C2214yes—
101C4×C22⋊Q8C2214yes—
102C4×C22⋊Q8C2214yes—
103C4×C22⋊Q8C2214yes—
104C4×C22⋊Q8C2218yes—
105C4×C22⋊Q8C2218yes—
106#2296C2214yes—
107#2295C2218yescomplemented
108#2295C2218yescomplemented
109#2285C2212yes—
110#2283C2218yes—
111#2280C2214yes—
112#2274C2214yes—
113C4×#117C2214yes—
114C4×#117C2214yes—
115C4×#117C2214yes—
116C4×#117C2214yes—
117C2×C4×C4⋊C4C2211yescharacteristic
118C2×C4×C4⋊C4C2211yescharacteristic
119C2×C4×C4⋊C4C2211yescharacteristic
120C2×C4×C4⋊C4C2211yescharacteristic
121C2×C4×C22⋊C4C2212yes—
122C2×C4×C22⋊C4C2212yes—
123C2×#376C2212yes—
124C2×C43C2212yes—
125C24×C4C2311yescharacteristic
126C24×C4C2311yescharacteristic
127C24×C4C2311yescharacteristic
128#544—216no—
129#533—216no—
130C2×C4⋊Q8C2312yes—
131C2×C4⋊Q8C2312yes—
132C2×C4⋊Q8C2318yes—
133C2×C4⋊Q8C2314yes—
134C2×C4⋊Q8C2314yes—
135C2×#125C2314yes—
136C2×#125C2318yes—
137C2×#125C2318yes—
138C2×C22⋊Q8C2314yes—
139C2×C22⋊Q8C2318yes—
140C2×C22⋊Q8C2314yes—
141C2×C22⋊Q8C2314yes—
142C2×C22⋊Q8C2314yes—
143C2×C22⋊Q8C2314yes—
144C2×C22⋊Q8C2314yes—
145C2×C4×Q8C2314yes—
146C2×C4×Q8C2314yes—
147C2×C4×Q8C2318yes—
148C2×C4×Q8C2318yes—
149C2×#117—28no—
150C2×#117Q8116yescomplemented
151C2×#117C2314yes—
152C2×#117C2314yes—
153C2×#117C2314yes—
154C2×#117C2314yes—
155C2×#117C2314yes—
156C2×#117C2314yes—
157C22×C4⋊C4C2311yescharacteristic
158C22×C4⋊C4C2311yescharacteristic
159C22×C4⋊C4C2311yescharacteristic
160C22×C4⋊C4C2311yescharacteristic
161C22×C22⋊C4C2312yes—
162C22×C22⋊C4C2312yes—
163C22×C42—28no—
164C22×C42C2312yes—
165C22×C42C2312yes—
166C22×C42C2311yescharacteristic
167C22×C42C2311yescharacteristic
168C22×C42C2312yes—
169C22×C42C2312yes—
170C22×C42C2312yes—
171C22×C42C2311yescharacteristic
172C22×C42C2312yes—
173C22×C42C2312yes—
174C22×C42C2312yes—
175C22×C42C2312yes—
176C22×C42C2312yes—
177C22×C42C2311yescharacteristic
178#400C23116yes—
179#400C23116yes—
180#399C23116yes—
181#398C23116yes—
182#398C23116yes—
183#398C23116yes—
184#398C23116yes—
185#396C23116yes—
186#396C23116yes—
187#395C23116yes—
188#395C23116yes—
189#393C23116yes—
190#391C2314yes—
191#391C2318yes—
192#391C2318yes—
193#391C2318yes—
194#391C23116yes—
195#391C23116yes—
196#391C2318yes—
197#391C2314yes—
198#391C2314yes—
199#391C2314yes—
200#391C2318yes—
201#391C2318yes—
202#389C2318yes—
203#389C2318yes—
204#389C2314yes—
205#389C2318yes—
206#389C2318yes—
207#389C2318yes—
208#389C2318yes—
209#389C2318yes—
210#389C2318yes—
211#389C2318yes—
212#389C2318yes—
213#389C2318yes—
214#389C2318yes—
215#389C2318yes—
216#389C2318yes—
217#389C23116yes—
218#389C23116yes—
219#389C2314yes—
220#389C2314yes—
221#389C2314yes—
222#389C2314yes—
223#389C2314yes—
224#389C2314yes—
225#389C2314yes—
226#389C2318yes—
227#389C2318yes—
228#389C2318yes—
229#389C2318yes—
230#388C23116yes—
231#388C23116yes—
232#388C23116yes—
233#388C23116yes—
234#387C2318yes—
235#387C23116yes—
236#387C23116yes—
237#387C23116yes—
238#387C23116yes—
239#387C23116yes—
240#387C23116yes—
241#387C23116yes—
242#387C2318yes—
243#387C2318yes—
244#387C2318yes—
245#387C23116yes—
246#387C23116yes—
247#387C23116yes—
248#385C23116yes—
249#385C2318yes—
250#385C2318yes—
251#385C2318yes—
252#385C2318yes—
253#385C2318yes—
254#385C2318yes—
255#384C2314yes—
256#384C2314yes—
257#384C2318yes—
258#384C2312yes—
259#384C2312yes—
260#383C23116yes—
261#382C2318yes—
262#382C2318yes—
263#382C2314yes—
264#382C2318yes—
265#382C2318yes—
266#381C2318yes—
267#380C2318yes—
268#380C2318yes—
269#380C2318yes—
270#380C2314yes—
271#380C2314yes—
272#380C2314yes—
273#380C2314yes—
274#380C2314yes—
275#380C2314yes—
276#380C2314yes—
277#380C2314yes—
278#380C2314yes—
279#380C2314yes—
280#379C2318yes—
281C4×C4⋊C4C2318yes—
282C4×C4⋊C4C2318yes—
283C4×C4⋊C4C23116yes—
284C4×C4⋊C4C23116yes—
285C4×C4⋊C4C2318yes—
286C4×C4⋊C4C2318yes—
287C4×C4⋊C4C2314yes—
288C4×C4⋊C4C2314yes—
289C4×C4⋊C4C2318yes—
290C4×C4⋊C4C2318yes—
291C4×C4⋊C4C2318yes—
292C4×C4⋊C4C2318yes—
293C4×C4⋊C4C2314yes—
294C4×C4⋊C4C2314yes—
295C4×C4⋊C4C2314yes—
296C4×C4⋊C4C2314yes—
297C4×C4⋊C4C2318yes—
298C4×C4⋊C4C2314yes—
299C4×C4⋊C4C2318yes—
300C4×C4⋊C4C2314yes—
301C4×C4⋊C4C2314yes—
302C4×C4⋊C4C2314yes—
303C4×C22⋊C4C23116yes—
304C4×C22⋊C4C2318yes—
305C4×C22⋊C4C2318yes—
306C4×C22⋊C4C2318yes—
307C4×C22⋊C4C2318yes—
308C4×C22⋊C4C2318yes—
309C4×C22⋊C4C2318yes—
310#376C23116yes—
311#376C2318yes—
312#376C2318yes—
313C2×#95C2312yes—
314C2×#95C2312yes—
315C2×#95C2312yes—
316C2×#95C2312yes—
317C43C2314yes—
318C43C2314yes—
319C43C2314yes—
320C43C2314yes—
321C25C2411yescharacteristic
322C22×Q8C2414yes—
323C22×Q8C2414yes—
324C22×Q8C2418yes—
325C23×C4—24no—
326C23×C4—24no—
327C23×C4—24no—
328C23×C4—24no—
329C23×C4—42no—
330C23×C4—42no—
331C23×C4—42no—
332C23×C4—42no—
333C23×C4C2×Q818yes—
334C23×C4C2412yes—
335C23×C4C2411yescharacteristic
336C23×C4C2412yes—
337C23×C4C2412yes—
338C23×C4C2412yes—
339C23×C4C2412yes—
340C23×C4C2411yescharacteristic
341C23×C4C2411yescharacteristic
342C23×C4C2412yes—
343C23×C4C2411yescharacteristic
344C23×C4C2412yes—
345C23×C4C2412yes—
346C23×C4C2412yes—
347C23×C4C2412yes—
348C23×C4C2411yescharacteristic
349C23×C4C2411yescharacteristic
350C4⋊Q8—232no—
351C4⋊Q8—28no—
352C4⋊Q8—28no—
353C4⋊Q8—48no—
354C4⋊Q8—48no—
355#125—232no—
356#125—216no—
357#125—416no—
358C22⋊Q8—216no—
359C22⋊Q8—216no—
360C22⋊Q8—232no—
361C22⋊Q8—48no—
362C22⋊Q8—48no—
363C22⋊Q8—48no—
364C22⋊Q8—48no—
365C4×Q8—216no—
366C4×Q8—216no—
367C4×Q8—416no—
368C4×Q8—416no—
369#117—216no—
370#117—216no—
371#117—216no—
372#117—216no—
373#117C2×Q8132yes—
374#117C2×Q8132yes—
375C2×C4⋊C4—24no—
376C2×C4⋊C4C2×Q818yes—
377C2×C4⋊C4C2×Q818yes—
378C2×C4⋊C4#4118yes—
379C2×C4⋊C4C2414yes—
380C2×C4⋊C4C2414yes—
381C2×C4⋊C4C2414yes—
382C2×C4⋊C4C2414yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2418yes—
386C2×C4⋊C4C2418yes—
387C2×C4⋊C4C2418yes—
388C2×C4⋊C4C2414yes—
389C2×C4⋊C4C2414yes—
390C2×C4⋊C4C2418yes—
391C2×C4⋊C4C2418yes—
392C2×C4⋊C4C24116yes—
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C2418yes—
395C2×C4⋊C4C24116yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2414yes—
398C2×C4⋊C4C2418yes—
399C2×C4⋊C4C2418yes—
400C2×C4⋊C4C2418yes—
401C2×C4⋊C4C2418yes—
402C2×C4⋊C4C24116yes—
403C2×C4⋊C4C2418yes—
404C2×C4⋊C4C2418yes—
405C2×C4⋊C4C2418yes—
406C2×C4⋊C4C2414yes—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2414yes—
409C2×C22⋊C4—28no—
410C2×C22⋊C4C2×Q8116yes—
411C2×C22⋊C4C2418yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C2418yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2418yes—
417C2×C22⋊C4C2418yes—
418C2×C22⋊C4C2418yes—
419C2×C42—28no—
420C2×C42—24no—
421C2×C42—24no—
422C2×C42—24no—
423C2×C42—28no—
424C2×C42—28no—
425C2×C42—28no—
426C2×C42—28no—
427C2×C42—44no—
428C2×C42—44no—
429C2×C42—44no—
430C2×C42—44no—
431C2×C42C2×Q8116yes—
432C2×C42#4118yes—
433C2×C42C2414yes—
434C2×C42C2414yes—
435C2×C42C2418yes—
436C2×C42C2418yes—
437C2×C42C2414yes—
438C2×C42C2414yes—
439C2×C42C2414yes—
440C2×C42C2414yes—
441C2×C42C2411yescharacteristic
442C2×C42C2411yescharacteristic
443C2×C42C2411yescharacteristic
444C2×C42C2411yescharacteristic
445C2×C42C2412yes—
446C2×C42C2412yes—
447C2×C42C2412yes—
448C2×C42C2412yes—
449C2×C42C24116yes—
450C2×C42C24116yes—
451C2×C42C2414yes—
452C2×C42C2414yes—
453C2×C42C2414yes—
454C2×C42C2414yes—
455C2×C42C2414yes—
456C2×C42C2414yes—
457C2×C42C2412yes—
458C2×C42C2412yes—
459#95C2418yes—
460#95C2418yes—
461#95C2418yes—
462#95C2418yes—
463#95C2418yes—
464#95C2418yes—
465#95C24116yes—
466#95C24116yes—
467#95C2418yes—
468#95C2418yes—
469#95C24116yes—
470#95C24116yes—
471#95C2418yes—
472#95C2418yes—
473#95C2418yes—
474#95C2418yes—
475#95C2418yes—
476#95C2418yes—
477#95C24116yes—
478#95C24116yes—
479#95C24116yes—
480C24—22no—
481C24—22no—
482C24—41no—
483C24—41no—
484C24—41no—
485C24—41no—
486C24C22×Q814yes—
487C24C2512yes—
488C24C2511yescharacteristic
489C2×Q8—28no—
490C2×Q8—28no—
491C2×Q8—216no—
492C2×Q8—28no—
493C2×Q8—28no—
494C2×Q8—48no—
495C2×Q8—44no—
496C2×Q8—44no—
497C2×Q8—48no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—232no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—416no—
537C22×C4—416no—
538C22×C4C22×Q814yes—
539C22×C4C22×Q818yes—
540C22×C4C22×Q818yes—
541C22×C4C22×Q818yes—
542C22×C4C22×Q818yes—
543C22×C4C22×Q814yes—
544C22×C4C2×#4114yes—
545C22×C4C2×#4114yes—
546C22×C4C2×#4118yes—
547C22×C4C2×#4114yes—
548C22×C4C2×#4114yes—
549C22×C4C2512yes—
550C22×C4C2518yes—
551C22×C4C2514yes—
552C22×C4C2518yes—
553C22×C4C2518yes—
554C22×C4C2518yes—
555C22×C4C2511yescharacteristic
556C22×C4C2511yescharacteristic
557C22×C4C2514yes—
558C22×C4C2514yes—
559C22×C4C2512yes—
560C22×C4C2511yescharacteristic
561C22×C4C2514yes—
562C22×C4C2511yescharacteristic
563C22×C4C2511yescharacteristic
564C22×C4C2512yes—
565C22×C4C2511yescharacteristic
566C4⋊C4—28no—
567C4⋊C4—28no—
568C4⋊C4—28no—
569C4⋊C4—28no—
570C4⋊C4—28no—
571C4⋊C4—216no—
572C4⋊C4—216no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—216no—
576C4⋊C4—232no—
577C4⋊C4—28no—
578C4⋊C4—216no—
579C4⋊C4—216no—
580C4⋊C4—28no—
581C4⋊C4—48no—
582C4⋊C4—416no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—48no—
586C4⋊C4—48no—
587C4⋊C4—48no—
588C4⋊C4—48no—
589C4⋊C4—416no—
590C4⋊C4—48no—
591C4⋊C4—48no—
592C4⋊C4—48no—
593C4⋊C4C22×Q8116yes—
594C4⋊C4C22×Q8116yes—
595C4⋊C4C2×#41116yes—
596C22⋊C4—216no—
597C22⋊C4—216no—
598C22⋊C4—216no—
599C22⋊C4—48no—
600C22⋊C4—48no—
601C22⋊C4—48no—
602C22⋊C4—48no—
603C22⋊C4C22×Q8132yes—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—24no—
609C42—24no—
610C42—24no—
611C42—24no—
612C42—28no—
613C42—28no—
614C42—216no—
615C42—216no—
616C42—28no—
617C42—28no—
618C42—28no—
619C42—28no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—416no—
625C42—416no—
626C42C22×Q8116yes—
627C42C22×Q8116yes—
628C42C2×#4118yes—
629C42C2×#4118yes—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—28no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23C23×Q814yes—
648C23C23×Q812yes—
649C23C22×#4112yes—
650C23C22×#4112yes—
651C23C2611yescharacteristic
652Q8—416no—
653Q8—816no—
654Q8—88no—
655C2×C4—28no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—28no—
675C2×C4—216no—
676C2×C4—216no—
677C2×C4—28no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—28no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—48no—
699C2×C4—48no—
700C2×C4—48no—
701C2×C4—48no—
702C2×C4—48no—
703C2×C4—48no—
704C2×C4—44no—
705C2×C4—48no—
706C2×C4#533116yes—
707C2×C4C23×Q812yes—
708C2×C4C23×Q812yes—
709C2×C4C23×Q818yes—
710C2×C4C23×Q818yes—
711C2×C4C23×Q814yes—
712C2×C4C22×#4112yes—
713C2×C4C22×#4114yes—
714C2×C4C22×#4118yes—
715C2×C4C22×#4114yes—
716C2×C4C22×#4114yes—
717C2×C4C22×#4112yes—
718C2×C4#58512yes—
719C2×C4#58512yes—
720C2×C4#58512yes—
721C2×C4#58512yes—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—416no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22C2×#53314yes—
737C22C24×Q811yescharacteristic
738C22C23×#4111yescharacteristic
739C22C23×#4111yescharacteristic
740C22C2×#58511yescharacteristic
741C22C2×#58511yescharacteristic
742C22C2×#58511yescharacteristic
743C22C2×#58511yescharacteristic
744C4—22no—
745C4—28no—
746C4—28no—
747C4—28no—
748C4—22no—
749C4—22no—
750C4—24no—
751C4—22no—
752C4—22no—
753C4—42no—
754C4—48no—
755C4—48no—
756C4—48no—
757C4—44no—
758C4—48no—
759C4C2×#53318yes—
760C4#349314yes—
761C2—24no—
762C2—44no—
763C2C22×#53311yescharacteristic
764C2C2×#349311yescharacteristic
765C2#6278111yescharacteristic
766C2#6279311yescharacteristic
767C2#6281311yescharacteristic
768C2#6281311yescharacteristic
769C2#6281411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #36481C2semidirect
4. #36480C2semidirect
5. #36478C2semidirect
6. #36288C2semidirect
7. #36287C2semidirect
8. #36284C2semidirect
9. #35173C2semidirect
10. #35167C2semidirect
11. #35159C2semidirect
13. #35120C2semidirect
16. #34271C2semidirect
17. #34213C2semidirect
25. #2864C22semidirect
26. #2863C22semidirect
27. #2863C22semidirect
28. #2862C22semidirect
29. #2859C22semidirect
48. #2612C22semidirect
49. #2612C22semidirect
50. #2606C22semidirect
51. #2605C22semidirect
54. #2584C22semidirect
56. #2567C22semidirect
58. #2552C22semidirect
59. #2551C22semidirect
60. #2550C22semidirect
61. #2546C22semidirect
63. #2509C22semidirect
64. #2508C22semidirect
65. #2507C22semidirect
66. #2506C22semidirect
76. #2370C22semidirect
77. #2370C22semidirect
78. #2370C22semidirect
79. #2369C22semidirect
80. #2369C22semidirect
81. #2365C22semidirect
82. #2365C22semidirect
83. #2355C22semidirect
84. #2355C22semidirect
85. Q8×C4⋊C4C22semidirect
97. C4×C4⋊Q8C22semidirect
98. C4×C4⋊Q8C22semidirect
99. C4×#125C22semidirect
107. #2295C22semidirect
108. #2295C22semidirect
150. C2×#117Q8semidirect

Maximal subgroups

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

subgroupindex
#366352
#366252
#364812
#364802
#364782
#362882
#362872
#362842
#351732
#351672
#351592
#351512
#351202
#350142
#350122
#342712
#342132
#341792
C2×C4×#1172