Finite Group Databasebeta

← #7633178

Subgroups — #7633178

Order 512.

5064 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36454C214yesmaximal, complemented
2#36175C214yesmaximal, complemented
3#36167C218yesmaximal, complemented
4#36013C218yesmaximal, complemented
5#35973C218yesmaximal, complemented
6#35632C218yesmaximal, complemented
7#35630C212yesmaximal, complemented
8#35626C212yesmaximal
9#35320C211yesmaximal, characteristic, complemented
10#35206C214yesmaximal, complemented
11#35172C211yesmaximal, characteristic
12#34948C211yesmaximal, characteristic, complemented
13#34945C214yesmaximal, complemented
14C2×#2547C211yesmaximal, characteristic
15#34254C212yesmaximal, complemented
16#34211C212yesmaximal
17#34209C211yesmaximal, characteristic, complemented
18#34145C211yesmaximal, characteristic, complemented
19C4×#518C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×#124C2212yes—
23C2×#519C2212yes—
24C2×#518C2211yescharacteristic
25C2×#518C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27#2862C2212yescomplemented
28#2862C2212yescomplemented
29#2855C2218yescomplemented
30#2851C2218yescomplemented
31#2848C2214yes—
32#2652C22116yescomplemented
33#2642C2214yescomplemented
34#2626C2214yes—
35#2580C2214yes—
36#2577C22116yescomplemented
37#2575C22116yescomplemented
38#2573C22116yescomplemented
39#2571C2212yescomplemented
40#2570C2214yescomplemented
41#2569C2214yes—
42#2568C2214yescomplemented
43#2568C2214yescomplemented
44#2566C2214yes—
45#2563C2212yes—
46#2552C2212yescomplemented
47#2547C2214yes—
48#2547C2214yes—
49#2547C2212yes—
50#2547C2214yes—
51#2547C2212yes—
52#2542C2212yes—
53#2538C2214yes—
54#2530C22116yescomplemented
55#2527C22116yescomplemented
56#2523C22116yescomplemented
57#2517C22116yescomplemented
58#2515C22116yescomplemented
59#2514C2218yescomplemented
60#2514C2218yescomplemented
61#2511C2218yescomplemented
62#2511C2218yescomplemented
63#2505C22116yescomplemented
64#2503C2214yes—
65#2503C2214yes—
66#2495C2218yescomplemented
67#2494C2218yescomplemented
68#2493C22116yes—
69#2493C22116yescomplemented
70#2489C2218yescomplemented
71#2483C22116yes—
72#2447C2218yes—
73#2447C2218yes—
74#2447C2218yes—
75#2447C2218yes—
76#2442C2214yes—
77#2421C2218yescomplemented
78#2402C2214yescomplemented
79#2401C22116yescomplemented
80C2×#397C2214yes—
81#2370C2214yescomplemented
82#2369C2212yescomplemented
83#2368C2214yes—
84#2367C2218yes—
85#2367C2218yes—
86#2365C2214yescomplemented
87#2365C2212yescomplemented
88#2365C2214yescomplemented
89#2360C2214yes—
90#2356C2218yescomplemented
91#2355C2218yescomplemented
92#2344C2214yes—
93#2344C2214yes—
94#2343C22116yes—
95#2342C22116yes—
96#2327C2214yescomplemented
97#2326C2218yes—
98#2320C2218yescomplemented
99#2317C2212yes—
100#2310C2212yes—
101#2310C2212yes—
102#2310C2212yes—
103#2309C2212yes—
104C4×C4⋊Q8C2214yescomplemented
105C4×#125C2214yescomplemented
106C4×#124C2218yes—
107C4×C22⋊Q8C2218yescomplemented
108#2296C2212yes—
109#2296C2212yes—
110#2295C2214yescomplemented
111#2295C2218yescomplemented
112#2295C2212yescomplemented
113C2×#391C2212yes—
114#2285C2212yes—
115#2285C2211yescharacteristic
116#2283C2218yescomplemented
117C2×#380C2214yes—
118#2275C2214yes—
119#2275C2214yes—
120#2274C2211yescharacteristic
121#2274C2211yescharacteristic
122#2273C2214yes—
123C42×Q8C2212yescomplemented
124C42×D4C2214yes—
125C42×D4C2214yes—
126C4×#117C2211yescharacteristic
127C4×#117C2212yes—
128C4×#117C2211yescharacteristic
129C2×C4×C4⋊C4C2211yescharacteristic
130C2×C4×C22⋊C4C2214yes—
131C23×Q8C2312yes—
132C23×D4C2311yescharacteristic
133C24×C4C2312yes—
134#533—28no—
135C2×C4⋊Q8—28no—
136C2×C4⋊Q8C2312yes—
137C2×C4⋊Q8C2311yescharacteristic
138C2×C4⋊Q8C2312yes—
139C2×C4⋊Q8C2312yes—
140C2×C4⋊Q8C2311yescharacteristic
141C2×C4⋊Q8C2312yes—
142C2×#125C2312yes—
143C2×#125C2314yes—
144C2×#124—216no—
145C2×#124C2314yes—
146C2×#124C2318yes—
147C2×#124C2314yes—
148C2×C22⋊Q8C2312yes—
149C2×C22⋊Q8C2312yes—
150C2×C22⋊Q8C2318yes—
151#519—216no—
152#518—28no—
153#518—28no—
154C2×C4×Q8C2318yes—
155C2×C4×Q8C2312yes—
156C2×C4×Q8C2312yes—
157C2×C4×Q8C2318yes—
158C2×C4×Q8C2314yes—
159C2×C4×D4—28no—
160C2×C4×D4C2312yes—
161C2×C4×D4C2312yes—
162C2×C4×D4C2312yes—
163C2×C4×D4C2314yes—
164C2×C4×D4C2314yes—
165C2×C4×D4C2312yes—
166C2×C4×D4C2314yes—
167C2×C4×D4C2314yes—
168C2×#117C2312yes—
169C2×#117C2312yes—
170C2×#117C2311yescharacteristic
171C2×#117C2311yescharacteristic
172C2×#117C2311yescharacteristic
173C2×#117C2318yes—
174C2×#117C2311yescharacteristic
175C22×C4⋊C4C2311yescharacteristic
176C22×C4⋊C4C2312yes—
177C22×C4⋊C4C2312yes—
178C22×C4⋊C4C2312yes—
179C22×C22⋊C4C2314yes—
180C22×C22⋊C4C2318yes—
181C22×C22⋊C4C2312yes—
182C22×C22⋊C4C2314yes—
183C22×C42C2312yes—
184C22×C42C2318yes—
185C22×C42C2311yescharacteristic
186#401C23116yes—
187#400C23116yes—
188#400C23116yes—
189#400C2318yes—
190#400C2318yes—
191#400C23116yes—
192#400C23116yes—
193#400C23116yes—
194#399C2318yes—
195#398C2318yes—
196#398C2318yes—
197#397C2318yes—
198#397C23116yes—
199#397C23116yes—
200#397C23116yes—
201#397C2318yes—
202#397C23116yes—
203#397C23116yes—
204#396C23116yes—
205#393C2318yes—
206#391C2318yes—
207#391C2318yes—
208#391C2318yes—
209#391C2314yes—
210#391C2314yes—
211#391C2314yes—
212#391C2314yes—
213#391C2318yes—
214#391C2318yes—
215#391C2318yes—
216#391C2314yes—
217#391C2314yes—
218#391C2318yes—
219#391C2318yes—
220#391C2314yes—
221#390C2314yes—
222#390C2314yes—
223#390C2318yes—
224#389C2314yes—
225#389C2314yes—
226#389C2318yes—
227#389C2318yes—
228#389C2314yes—
229#389C2314yes—
230#389C2318yes—
231#389C2314yes—
232#389C2318yes—
233#389C2314yes—
234#389C2314yes—
235#388C23116yes—
236#388C23116yes—
237#388C23116yes—
238#388C23116yes—
239#387C2318yes—
240#387C2318yes—
241#387C23116yes—
242#387C23116yes—
243#387C23116yes—
244#387C2318yes—
245#387C23116yes—
246#387C23116yes—
247#387C23116yes—
248#387C2318yes—
249#387C23116yes—
250#387C23116yes—
251#387C23116yes—
252#387C2318yes—
253#385C23116yes—
254#385C2318yes—
255#385C2318yes—
256#385C23116yes—
257#385C23116yes—
258#385C23116yes—
259#385C23116yes—
260#385C2318yes—
261#384C2312yes—
262#384C2314yes—
263#384C2314yes—
264#383C23116yes—
265#383C23116yes—
266#382C2314yes—
267#382C2314yes—
268#382C2318yes—
269#382C2318yes—
270#382C2312yes—
271#382C2314yes—
272#382C23116yes—
273#381C2318yes—
274#381C2318yes—
275#381C2318yes—
276#381C23116yes—
277#381C23116yes—
278#380C2318yes—
279#380C2312yes—
280#380C2318yes—
281#380C23116yes—
282#380C2312yes—
283#380C2318yes—
284#380C2318yes—
285#379C2318yes—
286C4×C4⋊C4C2312yes—
287C4×C4⋊C4C2312yes—
288C4×C4⋊C4C2318yes—
289C4×C4⋊C4C2318yes—
290C4×C4⋊C4C2318yes—
291C4×C4⋊C4C2318yes—
292C4×C4⋊C4C2312yes—
293C4×C4⋊C4C2312yes—
294C4×C4⋊C4C2312yes—
295C4×C4⋊C4C2312yes—
296C4×C4⋊C4C2311yescharacteristic
297C4×C4⋊C4C2318yes—
298C4×C4⋊C4C23116yes—
299C4×C4⋊C4C2314yes—
300C4×C4⋊C4C2314yes—
301C4×C4⋊C4C2314yes—
302C4×C4⋊C4C2314yes—
303C4×C4⋊C4C2314yes—
304C4×C4⋊C4C2312yes—
305C4×C4⋊C4C2312yes—
306C4×C4⋊C4C2312yes—
307C4×C4⋊C4C2314yes—
308C4×C4⋊C4C2314yes—
309C4×C4⋊C4C2314yes—
310C4×C4⋊C4C2314yes—
311C4×C4⋊C4C2311yescharacteristic
312C4×C22⋊C4C2312yes—
313C4×C22⋊C4C2318yes—
314C4×C22⋊C4C2318yes—
315C4×C22⋊C4C2318yes—
316C4×C22⋊C4C2318yes—
317C4×C22⋊C4C23116yes—
318C4×C22⋊C4C23116yes—
319C4×C22⋊C4C2314yes—
320C4×C22⋊C4C2312yes—
321C4×C22⋊C4C2312yes—
322C4×C22⋊C4C2318yes—
323C4×C22⋊C4C2318yes—
324C4×C22⋊C4C2312yes—
325C4×C22⋊C4C2314yes—
326C4×C22⋊C4C2318yes—
327#376C2314yes—
328#376C2312yes—
329#376C23116yes—
330#376C2312yes—
331C2×#95C2312yes—
332C2×#95C2318yes—
333C2×#95C2318yes—
334C43C2312yes—
335C43C2312yes—
336C43C2314yes—
337C25C2412yes—
338C22×Q8—28no—
339C22×Q8—28no—
340C22×Q8—28no—
341C22×Q8C2412yes—
342C22×Q8C2414yes—
343C22×Q8C2414yes—
344C22×Q8C2412yes—
345C22×D4—24no—
346C22×D4—24no—
347C22×D4#4118yes—
348C22×D4C2412yes—
349C22×D4C2412yes—
350C23×C4—28no—
351C23×C4—48no—
352C23×C4C2414yes—
353C23×C4C2414yes—
354C23×C4C2411yescharacteristic
355C23×C4C2414yes—
356C23×C4C2412yes—
357C23×C4C2418yes—
358C23×C4C2418yes—
359C23×C4C2414yes—
360C23×C4C2411yescharacteristic
361C23×C4C2411yescharacteristic
362C4⋊Q8—28no—
363C4⋊Q8—28no—
364C4⋊Q8—28no—
365C4⋊Q8—28no—
366C4⋊Q8—24no—
367C4⋊Q8—24no—
368#125—28no—
369#125—48no—
370#124—216no—
371#124—232no—
372#124—216no—
373C22⋊Q8—28no—
374C22⋊Q8—28no—
375C22⋊Q8—416no—
376C4×Q8—232no—
377C4×Q8—232no—
378C4×Q8—28no—
379C4×Q8—28no—
380C4×Q8—48no—
381C4×D4—216no—
382C4×D4—216no—
383C4×D4—216no—
384C4×D4—28no—
385C4×D4—28no—
386C4×D4—28no—
387C4×D4—28no—
388C4×D4—216no—
389#117—24no—
390#117—24no—
391#117—24no—
392#117—28no—
393#117—28no—
394#117—232no—
395#117#4118yes—
396C2×C4⋊C4—24no—
397C2×C4⋊C4—28no—
398C2×C4⋊C4—28no—
399C2×C4⋊C4—44no—
400C2×C4⋊C4C2412yes—
401C2×C4⋊C4C2412yes—
402C2×C4⋊C4C2412yes—
403C2×C4⋊C4C2412yes—
404C2×C4⋊C4C2414yes—
405C2×C4⋊C4C2414yes—
406C2×C4⋊C4C2414yes—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2412yes—
411C2×C4⋊C4C2414yes—
412C2×C4⋊C4C24116yes—
413C2×C4⋊C4C2412yes—
414C2×C4⋊C4C2412yes—
415C2×C4⋊C4C2414yes—
416C2×C4⋊C4C2414yes—
417C2×C4⋊C4C2412yes—
418C2×C4⋊C4C2412yes—
419C2×C4⋊C4C2414yes—
420C2×C4⋊C4C2414yes—
421C2×C4⋊C4C2418yes—
422C2×C4⋊C4C24116yes—
423C2×C4⋊C4C2418yes—
424C2×C4⋊C4C2418yes—
425C2×C4⋊C4C2414yes—
426C2×C4⋊C4C2418yes—
427C2×C4⋊C4C2418yes—
428C2×C4⋊C4C2418yes—
429C2×C4⋊C4C2412yes—
430C2×C22⋊C4—216no—
431C2×C22⋊C4—232no—
432C2×C22⋊C4—28no—
433C2×C22⋊C4—216no—
434C2×C22⋊C4C2412yes—
435C2×C22⋊C4C2412yes—
436C2×C22⋊C4C2412yes—
437C2×C22⋊C4C2418yes—
438C2×C22⋊C4C2414yes—
439C2×C22⋊C4C2414yes—
440C2×C22⋊C4C2418yes—
441C2×C22⋊C4C24116yes—
442C2×C22⋊C4C24116yes—
443C2×C22⋊C4C2414yes—
444C2×C22⋊C4C2414yes—
445C2×C22⋊C4C24116yes—
446C2×C22⋊C4C24116yes—
447C2×C22⋊C4C2412yes—
448C2×C42—28no—
449C2×C42—416no—
450C2×C42#4118yes—
451C2×C42C2412yes—
452C2×C42C2412yes—
453C2×C42C2412yes—
454C2×C42C2414yes—
455C2×C42C24116yes—
456C2×C42C2414yes—
457C2×C42C2414yes—
458C2×C42C2412yes—
459C2×C42C2412yes—
460C2×C42C2414yes—
461C2×C42C2414yes—
462C2×C42C2418yes—
463C2×C42C2418yes—
464C2×C42C2414yes—
465C2×C42C2414yes—
466C2×C42C2418yes—
467C2×C42C2418yes—
468C2×C42C2412yes—
469C2×C42C2411yescharacteristic
470C2×C42C2411yescharacteristic
471C2×C42C2411yescharacteristic
472C2×C42C2411yescharacteristic
473#95C2414yes—
474#95C2414yes—
475#95C24116yes—
476#95C2418yes—
477#95C2418yes—
478#95C2412yes—
479#95C2414yes—
480#95C2412yes—
481#95C24116yes—
482#95C2418yes—
483#95C2414yes—
484#95C2414yes—
485#95C2418yes—
486#95C2418yes—
487#95C24116yes—
488#95C24116yes—
489#95C2418yes—
490#95C2418yes—
491#95C24116yes—
492#95C24116yes—
493#95C2418yes—
494#95C2414yes—
495#95C2414yes—
496#95C24116yes—
497#95C2418yes—
498#95C24116yes—
499#95C2418yes—
500#95C24116yes—
501C24—24no—
502C24—24no—
503C24—44no—
504C24—44no—
505C24C2×#4118yes—
506C24C2514yes—
507C24C2511yescharacteristic
508C2×Q8—28no—
509C2×Q8—28no—
510C2×Q8—24no—
511C2×Q8—28no—
512C2×Q8—28no—
513C2×Q8—28no—
514C2×Q8—28no—
515C2×Q8—24no—
516C2×Q8—28no—
517C2×Q8—44no—
518C2×Q8—432no—
519C2×D4—232no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—24no—
523C2×D4—24no—
524C2×D4C2×#4118yes—
525C2×D4C2×#4118yes—
526C22×C4—24no—
527C22×C4—28no—
528C22×C4—28no—
529C22×C4—28no—
530C22×C4—28no—
531C22×C4—24no—
532C22×C4—216no—
533C22×C4—28no—
534C22×C4—216no—
535C22×C4—216no—
536C22×C4—28no—
537C22×C4—42no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—44no—
543C22×C4—48no—
544C22×C4—44no—
545C22×C4—48no—
546C22×C4—816no—
547C22×C4C2×#4114yes—
548C22×C4C2×#4114yes—
549C22×C4C2×#4114yes—
550C22×C4C2×#4114yes—
551C22×C4C2×#4114yes—
552C22×C4C2514yes—
553C22×C4C2514yes—
554C22×C4C2514yes—
555C22×C4C2514yes—
556C22×C4C2514yes—
557C22×C4C2518yes—
558C22×C4C2514yes—
559C22×C4C2514yes—
560C22×C4C2518yes—
561C22×C4C2514yes—
562C22×C4C2511yescharacteristic
563C22×C4C2511yescharacteristic
564C22×C4C2514yes—
565C22×C4C2511yescharacteristic
566C22×C4C2511yescharacteristic
567C22×C4C2511yescharacteristic
568C22×C4C2511yescharacteristic
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—28no—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—28no—
579C4⋊C4—232no—
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—28no—
583C4⋊C4—28no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—28no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—48no—
592C4⋊C4—48no—
593C4⋊C4—48no—
594C4⋊C4—48no—
595C4⋊C4—416no—
596C4⋊C4—48no—
597C4⋊C4—48no—
598C4⋊C4C2×#4118yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—216no—
603C22⋊C4—232no—
604C22⋊C4—232no—
605C22⋊C4—28no—
606C22⋊C4—28no—
607C22⋊C4—216no—
608C22⋊C4—28no—
609C22⋊C4—28no—
610C22⋊C4—416no—
611C22⋊C4—416no—
612C22⋊C4C2×#4118yes—
613C42—24no—
614C42—24no—
615C42—28no—
616C42—24no—
617C42—24no—
618C42—24no—
619C42—28no—
620C42—232no—
621C42—28no—
622C42—28no—
623C42—28no—
624C42—48no—
625C42—48no—
626C42—44no—
627C42—48no—
628C42—44no—
629C42—48no—
630C42C2×#4114yes—
631C42C2×#4114yes—
632C42C2×#4114yes—
633C42C2×#4114yes—
634C42C2×#4118yes—
635C23—22no—
636C23—22no—
637C23—24no—
638C23—24no—
639C23—28no—
640C23—28no—
641C23—216no—
642C23—416no—
643C23—84no—
644C23—88no—
645C23—84no—
646C23C22×#4118yes—
647C23C22×#4112yes—
648C23C22×#4112yes—
649C23C22×#4112yes—
650C23C2611yescharacteristic
651Q8—416no—
652Q8—416no—
653Q8—48no—
654Q8—84no—
655D4—216no—
656D4—216no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—28no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—24no—
674C2×C4—28no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—28no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—28no—
689C2×C4—24no—
690C2×C4—44no—
691C2×C4—416no—
692C2×C4—416no—
693C2×C4—816no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4—816no—
697C2×C4—84no—
698C2×C4#529116yes—
699C2×C4C22×#4118yes—
700C2×C4C22×#4112yes—
701C2×C4C22×#4112yes—
702C2×C4C22×#4112yes—
703C2×C4C22×#4112yes—
704C2×C4C22×#4112yes—
705C2×C4C22×#4112yes—
706C2×C4C22×#4112yes—
707C2×C4C22×#4112yes—
708C2×C4C22×#4112yes—
709C2×C4C22×#4112yes—
710C2×C4#58514yes—
711C22—24no—
712C22—24no—
713C22—22no—
714C22—22no—
715C22—216no—
716C22—28no—
717C22—48no—
718C22—44no—
719C22—44no—
720C22—816no—
721C22C2×#52914yes—
722C22C23×#4111yescharacteristic
723C22C23×#4111yescharacteristic
724C22C23×#4111yescharacteristic
725C22C2×#58512yes—
726C222−1+612yes—
727C4—28no—
728C4—22no—
729C4—22no—
730C4—22no—
731C4—44no—
732C4—44no—
733C4—44no—
734C4—44no—
735C4—48no—
736C4—44no—
737C4—44no—
738C4—44no—
739C4—44no—
740C4—48no—
741C4C2×#52914yes—
742C4C2×#52914yes—
743C4#351014yes—
744C2—24no—
745C2—48no—
746C2C22×#52911yescharacteristic
747C2C2×#351011yescharacteristic
748C2#6286011yescharacteristic
749C2#6299112yes—
750C2#6299512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36454C2semidirect
2. #36175C2semidirect
3. #36167C2semidirect
4. #36013C2semidirect
5. #35973C2semidirect
6. #35632C2semidirect
7. #35630C2semidirect
9. #35320C2semidirect
10. #35206C2semidirect
12. #34948C2semidirect
13. #34945C2semidirect
15. #34254C2semidirect
17. #34209C2semidirect
18. #34145C2semidirect
27. #2862C22semidirect
28. #2862C22semidirect
29. #2855C22semidirect
30. #2851C22semidirect
32. #2652C22semidirect
33. #2642C22semidirect
36. #2577C22semidirect
37. #2575C22semidirect
38. #2573C22semidirect
39. #2571C22semidirect
40. #2570C22semidirect
42. #2568C22semidirect
43. #2568C22semidirect
46. #2552C22semidirect
54. #2530C22semidirect
55. #2527C22semidirect
56. #2523C22semidirect
57. #2517C22semidirect
58. #2515C22semidirect
59. #2514C22semidirect
60. #2514C22semidirect
61. #2511C22semidirect
62. #2511C22semidirect
63. #2505C22semidirect
66. #2495C22semidirect
67. #2494C22semidirect
69. #2493C22semidirect
70. #2489C22semidirect
77. #2421C22semidirect
78. #2402C22semidirect
79. #2401C22semidirect
81. #2370C22semidirect
82. #2369C22semidirect
86. #2365C22semidirect
87. #2365C22semidirect
88. #2365C22semidirect
90. #2356C22semidirect
91. #2355C22semidirect
96. #2327C22semidirect
98. #2320C22semidirect
104. C4×C4⋊Q8C22semidirect
105. C4×#125C22semidirect
107. C4×C22⋊Q8C22semidirect
110. #2295C22semidirect
111. #2295C22semidirect
112. #2295C22semidirect
116. #2283C22semidirect
123. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#364542
#361752
#361672
#360132
#359732
#356322
#356302
#356262
#353202
#352062
#351722
#349482
#349452
C2×#25472
#342542
#342112
#342092
#341452
C4×#5182