Finite Group Databasebeta

← #7671566

Subgroups — #7671566

Order 512.

4874 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59450C214yesmaximal, complemented
2#59448C218yesmaximal, complemented
3#59436C214yesmaximal, complemented
4#39542C218yesmaximal, complemented
5#38977C214yesmaximal, complemented
6#38971C214yesmaximal, complemented
7#36640C211yesmaximal, characteristic, complemented
8#36394C214yesmaximal, complemented
9#36299C214yesmaximal, complemented
10#36167C218yesmaximal, complemented
11#35627C212yesmaximal, complemented
12#35626C212yesmaximal
13#35313C212yesmaximal, complemented
14#35179C211yesmaximal, characteristic, complemented
15#35172C211yesmaximal, characteristic
16#34255C212yesmaximal
17#34187C211yesmaximal, characteristic, complemented
18#34181C211yesmaximal, characteristic
19C4×#533C211yesmaximal, characteristic, complemented
20C2×C4×#124C211yesmaximal, characteristic
21C2×#533C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C2×#518C2212yes—
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26#2864C2212yescomplemented
27#2864C2212yescomplemented
28#2863C2218yescomplemented
29#2859C2212yescomplemented
30#2859C2212yescomplemented
31#2855C2214yes—
32#2851C2214yes—
33#2851C2214yes—
34#2848C2214yes—
35#2771C22116yescomplemented
36#2765C22116yescomplemented
37#2745C22116yescomplemented
38#2739C22116yescomplemented
39#2645C2218yescomplemented
40#2627C2214yes—
41#2626C2214yes—
42#2599C22116yescomplemented
43#2582C2214yescomplemented
44#2581C2214yescomplemented
45#2580C2214yes—
46#2577C22116yescomplemented
47#2575C22116yescomplemented
48#2571C2218yescomplemented
49#2570C2218yescomplemented
50#2568C2212yescomplemented
51#2567C2212yescomplemented
52#2566C2214yes—
53#2565C2214yescomplemented
54#2563C2212yes—
55#2542C2212yes—
56#2538C2214yes—
57#2530C22116yescomplemented
58#2515C22116yescomplemented
59#2514C2218yescomplemented
60#2511C2218yescomplemented
61#2509C2218yescomplemented
62#2508C2218yescomplemented
63#2505C22116yes—
64#2503C2218yescomplemented
65#2495C2218yescomplemented
66#2494C2218yescomplemented
67#2493C22116yes—
68#2493C22116yescomplemented
69#2489C2218yescomplemented
70#2483C22116yes—
71#2475C22116yescomplemented
72#2447C2218yes—
73#2447C2218yes—
74#2447C2218yes—
75#2447C2218yes—
76#2442C2218yescomplemented
77#2421C2218yescomplemented
78#2360C2218yescomplemented
79#2357C2218yes—
80#2356C2214yescomplemented
81#2356C2214yescomplemented
82#2355C2214yescomplemented
83#2355C2214yescomplemented
84#2354C2218yes—
85#2349C2214yes—
86#2349C2214yes—
87D4×C4⋊C4C2214yes—
88D4×C4⋊C4C2214yes—
89#2344C2218yescomplemented
90#2343C22116yescomplemented
91#2342C22116yes—
92#2319C2218yes—
93#2317C2212yes—
94#2317C2212yes—
95#2316C2212yes—
96#2315C2214yes—
97#2313C2214yes—
98#2310C2212yes—
99#2310C2212yes—
100#2309C2212yes—
101C4×C4⋊Q8C2212yescomplemented
102C4×C4⋊Q8C2212yescomplemented
103C4×#125C2214yescomplemented
104C4×#125C2214yescomplemented
105C4×#125C2214yescomplemented
106C4×#124C2212yes—
107C4×#124C2214yes—
108C4×#124C2214yes—
109C4×#124C2212yes—
110C4×#124C2212yes—
111C4×#124C2212yes—
112C4×C22⋊Q8C2214yes—
113C4×C22⋊Q8C2214yes—
114#2296C2212yes—
115#2296C2212yes—
116#2296C2212yes—
117#2295C2212yescomplemented
118#2295C2212yescomplemented
119C2×#391C2211yescharacteristic
120#2293C2218yes—
121C2×#390C2211yescharacteristic
122C2×#388C2214yes—
123#2285C2211yescharacteristic
124#2285C2211yescharacteristic
125#2285C2211yescharacteristic
126#2283C2214yes—
127C2×#382C2211yescharacteristic
128C2×#380C2214yes—
129#2274C2212yes—
130C42×Q8C2212yescomplemented
131C42×Q8C2212yescomplemented
132C4×#117C2212yes—
133C2×C4×C22⋊C4C2214yes—
134C2×C43C2211yescharacteristic
135C23×Q8C2311yescharacteristic
136C23×D4C2311yescharacteristic
137C24×C4C2312yes—
138#533—28no—
139C2×C4⋊Q8C2311yescharacteristic
140C2×C4⋊Q8C2311yescharacteristic
141C2×#125C2312yes—
142C2×#125C2314yes—
143C2×#125C2314yes—
144C2×#124—28no—
145C2×#124C2312yes—
146C2×#124C2314yes—
147C2×#124C2312yes—
148C2×C22⋊Q8C2312yes—
149C2×C22⋊Q8C2312yes—
150C2×C22⋊Q8C2318yes—
151#518—216no—
152C2×C4×Q8—28no—
153C2×C4×Q8C2312yes—
154C2×C4×Q8C2312yes—
155C2×C4×Q8C2312yes—
156C2×C4×Q8C2312yes—
157C2×C4×Q8C2312yes—
158C2×C4×Q8C2312yes—
159C2×C4×Q8C2314yes—
160C2×C4×Q8C2314yes—
161C2×C4×D4—28no—
162C2×C4×D4C2312yes—
163C2×C4×D4C2312yes—
164C2×C4×D4C2318yes—
165C2×C4×D4C2312yes—
166C2×C4×D4C2312yes—
167C2×C4×D4C2318yes—
168C2×#117C2312yes—
169C2×#117C2312yes—
170C2×#117C2312yes—
171C2×#117C2312yes—
172C2×#117C23116yes—
173C22×C4⋊C4C2312yes—
174C22×C4⋊C4C2311yescharacteristic
175C22×C4⋊C4C2311yescharacteristic
176C22×C4⋊C4C2318yes—
177C22×C22⋊C4C2312yes—
178C22×C22⋊C4C2318yes—
179C22×C22⋊C4C2314yes—
180C22×C22⋊C4C2314yes—
181C22×C42C2312yes—
182C22×C42C2311yescharacteristic
183C22×C42C2311yescharacteristic
184C22×C42C2312yes—
185C22×C42C2312yes—
186C22×C42C2311yescharacteristic
187#401C23116yes—
188#400C2318yes—
189#400C23116yes—
190#400C23116yes—
191#400C23116yes—
192#400C23116yes—
193#400C23116yes—
194#400C23116yes—
195#399C2318yes—
196#398C23116yes—
197#398C23116yes—
198#397C23116yes—
199#397C23116yes—
200#397C23116yes—
201#397C23116yes—
202#396C23116yes—
203#395C2318yes—
204#393C2318yes—
205#391C2314yes—
206#391C2314yes—
207#391C2314yes—
208#391C2314yes—
209#391C2318yes—
210#391C2318yes—
211#391C2318yes—
212#391C2318yes—
213#391C2312yes—
214#391C2312yes—
215#391C2314yes—
216#390C2314yes—
217#390C2314yes—
218#390C2318yes—
219#390C2312yes—
220#390C2314yes—
221#390C2312yes—
222#389C2314yes—
223#389C2314yes—
224#389C2314yes—
225#389C2314yes—
226#389C2314yes—
227#389C2314yes—
228#389C2314yes—
229#389C2314yes—
230#389C2318yes—
231#389C2318yes—
232#389C23116yes—
233#389C2318yes—
234#389C2318yes—
235#389C2318yes—
236#389C2314yes—
237#389C2314yes—
238#389C2314yes—
239#389C2314yes—
240#388C23116yes—
241#388C23116yes—
242#388C2318yes—
243#388C23116yes—
244#388C23116yes—
245#388C2318yes—
246#388C2318yes—
247#388C2318yes—
248#387C2318yes—
249#387C2318yes—
250#387C2318yes—
251#387C2318yes—
252#387C2318yes—
253#387C2318yes—
254#387C23116yes—
255#387C23116yes—
256#387C23116yes—
257#387C23116yes—
258#387C23116yes—
259#387C23116yes—
260#387C23116yes—
261#387C23116yes—
262#385C23116yes—
263#385C23116yes—
264#385C23116yes—
265#385C2318yes—
266#385C2318yes—
267#385C2318yes—
268#385C2318yes—
269#385C23116yes—
270#385C23116yes—
271#385C2318yes—
272#384C2312yes—
273#384C2314yes—
274#384C2314yes—
275#384C2312yes—
276#384C2312yes—
277#383C2318yes—
278#383C23116yes—
279#382C2312yes—
280#382C2314yes—
281#382C2314yes—
282#382C2314yes—
283#382C2314yes—
284#382C2314yes—
285#382C23116yes—
286#382C2312yes—
287#382C2312yes—
288#382C2318yes—
289#382C2312yes—
290#382C2312yes—
291#381C2318yes—
292#381C2318yes—
293#381C23116yes—
294#381C23116yes—
295#381C23116yes—
296#380C2318yes—
297#380C2312yes—
298#380C2312yes—
299#380C2312yes—
300#380C2318yes—
301#380C23116yes—
302#380C2318yes—
303#380C2312yes—
304#380C2312yes—
305#380C2318yes—
306#380C2312yes—
307#379C2318yes—
308C4×C4⋊C4C2312yes—
309C4×C4⋊C4C2312yes—
310C4×C4⋊C4C2312yes—
311C4×C4⋊C4C2312yes—
312C4×C4⋊C4C2318yes—
313C4×C4⋊C4C2318yes—
314C4×C4⋊C4C2314yes—
315C4×C4⋊C4C2314yes—
316C4×C4⋊C4C2318yes—
317C4×C4⋊C4C2318yes—
318C4×C4⋊C4C2314yes—
319C4×C4⋊C4C2314yes—
320C4×C4⋊C4C2318yes—
321C4×C4⋊C4C2318yes—
322C4×C4⋊C4C2318yes—
323C4×C4⋊C4C2312yes—
324C4×C4⋊C4C2312yes—
325C4×C4⋊C4C2314yes—
326C4×C4⋊C4C2314yes—
327C4×C22⋊C4C2318yes—
328C4×C22⋊C4C23116yes—
329C4×C22⋊C4C2318yes—
330C4×C22⋊C4C2318yes—
331C4×C22⋊C4C2318yes—
332C4×C22⋊C4C2318yes—
333C4×C22⋊C4C2318yes—
334#376C2314yes—
335#376C2318yes—
336C2×#95C2318yes—
337C2×#95C2314yes—
338C2×#95C2314yes—
339C43C2312yes—
340C43C2312yes—
341C43C2311yescharacteristic
342C43C2311yescharacteristic
343C43C2314yes—
344C43C2311yescharacteristic
345C43C2311yescharacteristic
346C25C2412yes—
347C22×Q8—24no—
348C22×Q8—24no—
349C22×Q8—24no—
350C22×Q8C2412yes—
351C22×Q8C2412yes—
352C22×Q8C2412yes—
353C22×Q8C2412yes—
354C22×D4—24no—
355C22×D4—24no—
356C22×D4#4118yes—
357C22×D4C2412yes—
358C22×D4C2412yes—
359C23×C4—28no—
360C23×C4—48no—
361C23×C4C2412yes—
362C23×C4C2414yes—
363C23×C4C2412yes—
364C23×C4C2411yescharacteristic
365C23×C4C2412yes—
366C23×C4C2412yes—
367C23×C4C24116yes—
368C23×C4C2412yes—
369C23×C4C2414yes—
370C23×C4C2411yescharacteristic
371C23×C4C2411yescharacteristic
372C4⋊Q8—24no—
373C4⋊Q8—24no—
374#125—28no—
375#125—48no—
376#125—48no—
377#124—28no—
378#124—216no—
379#124—28no—
380C22⋊Q8—28no—
381C22⋊Q8—28no—
382C22⋊Q8—416no—
383C4×Q8—28no—
384C4×Q8—28no—
385C4×Q8—28no—
386C4×Q8—28no—
387C4×Q8—28no—
388C4×Q8—28no—
389C4×Q8—48no—
390C4×Q8—48no—
391C4×D4—232no—
392C4×D4—232no—
393C4×D4—28no—
394C4×D4—28no—
395C4×D4—28no—
396C4×D4—28no—
397#117—28no—
398#117—28no—
399#117—28no—
400#117—28no—
401#117—432no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—28no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—416no—
406C2×C4⋊C4C2414yes—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2412yes—
411C2×C4⋊C4C2412yes—
412C2×C4⋊C4C2414yes—
413C2×C4⋊C4C2414yes—
414C2×C4⋊C4C2418yes—
415C2×C4⋊C4C2414yes—
416C2×C4⋊C4C2414yes—
417C2×C4⋊C4C2412yes—
418C2×C4⋊C4C2412yes—
419C2×C4⋊C4C2414yes—
420C2×C4⋊C4C2414yes—
421C2×C4⋊C4C2414yes—
422C2×C4⋊C4C2412yes—
423C2×C4⋊C4C2412yes—
424C2×C4⋊C4C2414yes—
425C2×C4⋊C4C24116yes—
426C2×C4⋊C4C24116yes—
427C2×C4⋊C4C2414yes—
428C2×C4⋊C4C2418yes—
429C2×C4⋊C4C2418yes—
430C2×C4⋊C4C24116yes—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2414yes—
433C2×C4⋊C4C2414yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C2418yes—
436C2×C22⋊C4—232no—
437C2×C22⋊C4—216no—
438C2×C22⋊C4—28no—
439C2×C22⋊C4—48no—
440C2×C22⋊C4C2414yes—
441C2×C22⋊C4C2414yes—
442C2×C22⋊C4C2418yes—
443C2×C22⋊C4C24116yes—
444C2×C22⋊C4C2414yes—
445C2×C22⋊C4C2414yes—
446C2×C22⋊C4C2418yes—
447C2×C22⋊C4C2418yes—
448C2×C22⋊C4C2414yes—
449C2×C22⋊C4C2414yes—
450C2×C22⋊C4C2418yes—
451C2×C22⋊C4C24116yes—
452C2×C22⋊C4C24116yes—
453C2×C42—28no—
454C2×C42—24no—
455C2×C42—24no—
456C2×C42—44no—
457C2×C42—44no—
458C2×C42#4118yes—
459C2×C42C2418yes—
460C2×C42C2414yes—
461C2×C42C2414yes—
462C2×C42C2414yes—
463C2×C42C2414yes—
464C2×C42C2412yes—
465C2×C42C2412yes—
466C2×C42C2414yes—
467C2×C42C2414yes—
468C2×C42C2412yes—
469C2×C42C2411yescharacteristic
470C2×C42C2411yescharacteristic
471C2×C42C2412yes—
472C2×C42C2412yes—
473C2×C42C2411yescharacteristic
474C2×C42C2411yescharacteristic
475C2×C42C2412yes—
476C2×C42C24116yes—
477C2×C42C2418yes—
478C2×C42C2412yes—
479C2×C42C2412yes—
480C2×C42C2412yes—
481C2×C42C2412yes—
482C2×C42C2411yescharacteristic
483C2×C42C2411yescharacteristic
484C2×C42C2411yescharacteristic
485C2×C42C2411yescharacteristic
486#95C2414yes—
487#95C2414yes—
488#95C2418yes—
489#95C2418yes—
490#95C2418yes—
491#95C2418yes—
492#95C24116yes—
493#95C2414yes—
494#95C2418yes—
495#95C2418yes—
496#95C24116yes—
497#95C2418yes—
498#95C24116yes—
499#95C24116yes—
500#95C2414yes—
501#95C2418yes—
502#95C2418yes—
503#95C2414yes—
504#95C2414yes—
505#95C2418yes—
506#95C2418yes—
507#95C2418yes—
508#95C24116yes—
509#95C24116yes—
510#95C24116yes—
511#95C24116yes—
512C24—24no—
513C24—24no—
514C24—44no—
515C24—44no—
516C24C2×#4118yes—
517C24C2514yes—
518C24C2511yescharacteristic
519C2×Q8—24no—
520C2×Q8—24no—
521C2×Q8—24no—
522C2×Q8—24no—
523C2×Q8—24no—
524C2×Q8—24no—
525C2×Q8—24no—
526C2×Q8—24no—
527C2×Q8—28no—
528C2×Q8—44no—
529C2×Q8—416no—
530C2×D4—232no—
531C2×D4—24no—
532C2×D4—24no—
533C2×D4—24no—
534C2×D4—24no—
535C2×D4C2×#4118yes—
536C2×D4C2×#4118yes—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—232no—
546C22×C4—28no—
547C22×C4—24no—
548C22×C4—216no—
549C22×C4—28no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—44no—
555C22×C4—416no—
556C22×C4—416no—
557C22×C4—48no—
558C22×C4—44no—
559C22×C4—816no—
560C22×C4C2×#4114yes—
561C22×C4C2×#4114yes—
562C22×C4C2×#4114yes—
563C22×C4C2×#4114yes—
564C22×C42−1+414yes—
565C22×C4C2514yes—
566C22×C4C2512yes—
567C22×C4C2514yes—
568C22×C4C2518yes—
569C22×C4C2518yes—
570C22×C4C2518yes—
571C22×C4C2512yes—
572C22×C4C2512yes—
573C22×C4C2514yes—
574C22×C4C2514yes—
575C22×C4C2514yes—
576C22×C4C2511yescharacteristic
577C22×C4C2511yescharacteristic
578C22×C4C2511yescharacteristic
579C22×C4C2512yes—
580C22×C4C2511yescharacteristic
581C22×C4C2511yescharacteristic
582C22×C4C2511yescharacteristic
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—28no—
588C4⋊C4—28no—
589C4⋊C4—28no—
590C4⋊C4—28no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—28no—
594C4⋊C4—28no—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—28no—
598C4⋊C4—28no—
599C4⋊C4—28no—
600C4⋊C4—216no—
601C4⋊C4—28no—
602C4⋊C4—416no—
603C4⋊C4—416no—
604C4⋊C4—44no—
605C4⋊C4—48no—
606C4⋊C4—48no—
607C4⋊C4—416no—
608C4⋊C4—44no—
609C4⋊C4—44no—
610C4⋊C4—48no—
611C4⋊C4—48no—
612C4⋊C4—48no—
613C22⋊C4—28no—
614C22⋊C4—28no—
615C22⋊C4—232no—
616C22⋊C4—216no—
617C22⋊C4—216no—
618C22⋊C4—28no—
619C22⋊C4—28no—
620C22⋊C4—28no—
621C22⋊C4—28no—
622C22⋊C4—216no—
623C22⋊C4—48no—
624C22⋊C4—416no—
625C22⋊C4—416no—
626C42—28no—
627C42—28no—
628C42—24no—
629C42—22no—
630C42—22no—
631C42—28no—
632C42—28no—
633C42—28no—
634C42—22no—
635C42—24no—
636C42—22no—
637C42—28no—
638C42—24no—
639C42—24no—
640C42—24no—
641C42—24no—
642C42—216no—
643C42—42no—
644C42—42no—
645C42—42no—
646C42—42no—
647C42—416no—
648C42—48no—
649C42C2×#4114yes—
650C42C2×#4114yes—
651C42C2×#4114yes—
652C42C2×#4114yes—
653C23—22no—
654C23—22no—
655C23—24no—
656C23—24no—
657C23—28no—
658C23—28no—
659C23—216no—
660C23—416no—
661C23—84no—
662C23—84no—
663C23—88no—
664C23C22×#4118yes—
665C23C22×#4112yes—
666C23C22×#4112yes—
667C23C2×2−1+412yes—
668C23C2611yescharacteristic
669Q8—48no—
670Q8—48no—
671Q8—48no—
672Q8—48no—
673D4—216no—
674D4—216no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—28no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—22no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—22no—
703C2×C4—28no—
704C2×C4—28no—
705C2×C4—28no—
706C2×C4—28no—
707C2×C4—28no—
708C2×C4—28no—
709C2×C4—28no—
710C2×C4—44no—
711C2×C4—48no—
712C2×C4—48no—
713C2×C4—48no—
714C2×C4—416no—
715C2×C4—88no—
716C2×C4—832no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4#552116yes—
720C2×C4C22×#4112yes—
721C2×C4C22×#4112yes—
722C2×C4C22×#4112yes—
723C2×C4C22×#4112yes—
724C2×C4C22×#4112yes—
725C2×C4C22×#4112yes—
726C2×C4C22×#4112yes—
727C2×C4C22×#4112yes—
728C2×C4C2×2−1+412yes—
729C2×C4C2×2−1+412yes—
730C2×C4#58514yes—
731C2×C4#58514yes—
732C22—24no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—216no—
737C22—28no—
738C22—44no—
739C22—44no—
740C22—48no—
741C22—816no—
742C22C2×#55214yes—
743C22C23×#4111yescharacteristic
744C22C23×#4111yescharacteristic
745C22C22×2−1+411yescharacteristic
746C22C2×#58512yes—
747C22C2×#58512yes—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—24no—
752C4—42no—
753C4—42no—
754C4—48no—
755C4—48no—
756C4—44no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—48no—
761C4—42no—
762C4—44no—
763C4C2×#55214yes—
764C4C2×#55214yes—
765C4#351014yes—
766C2—24no—
767C2—48no—
768C2C22×#55211yescharacteristic
769C2#6278112yes—
770C2C2×#351011yescharacteristic
771C2#6281511yescharacteristic
772C2#6283112yes—
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. #59450C2semidirect
2. #59448C2semidirect
3. #59436C2semidirect
4. #39542C2semidirect
5. #38977C2semidirect
6. #38971C2semidirect
7. #36640C2semidirect
8. #36394C2semidirect
9. #36299C2semidirect
10. #36167C2semidirect
11. #35627C2semidirect
13. #35313C2semidirect
14. #35179C2semidirect
17. #34187C2semidirect
19. C4×#533C2semidirect
26. #2864C22semidirect
27. #2864C22semidirect
28. #2863C22semidirect
29. #2859C22semidirect
30. #2859C22semidirect
35. #2771C22semidirect
36. #2765C22semidirect
37. #2745C22semidirect
38. #2739C22semidirect
39. #2645C22semidirect
42. #2599C22semidirect
43. #2582C22semidirect
44. #2581C22semidirect
46. #2577C22semidirect
47. #2575C22semidirect
48. #2571C22semidirect
49. #2570C22semidirect
50. #2568C22semidirect
51. #2567C22semidirect
53. #2565C22semidirect
57. #2530C22semidirect
58. #2515C22semidirect
59. #2514C22semidirect
60. #2511C22semidirect
61. #2509C22semidirect
62. #2508C22semidirect
64. #2503C22semidirect
65. #2495C22semidirect
66. #2494C22semidirect
68. #2493C22semidirect
69. #2489C22semidirect
71. #2475C22semidirect
76. #2442C22semidirect
77. #2421C22semidirect
78. #2360C22semidirect
80. #2356C22semidirect
81. #2356C22semidirect
82. #2355C22semidirect
83. #2355C22semidirect
89. #2344C22semidirect
90. #2343C22semidirect
101. C4×C4⋊Q8C22semidirect
102. C4×C4⋊Q8C22semidirect
103. C4×#125C22semidirect
104. C4×#125C22semidirect
105. C4×#125C22semidirect
117. #2295C22semidirect
118. #2295C22semidirect
130. C42×Q8C22semidirect
131. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594502
#594482
#594362
#395422
#389772
#389712
#366402
#363942
#362992
#361672
#356272
#356262
#353132
#351792
#351722
#342552
#341872
#341812
C4×#5332
C2×C4×#1242