Finite Group Databasebeta

← #7626960

Subgroups — #7626960

Order 512.

6380 conjugacy classes of subgroups.

The subgroup lattice has 1483 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic
2#34505C214yesmaximal, complemented
3#34490C212yesmaximal, complemented
4#34490C214yesmaximal, complemented
5#34465C212yesmaximal, complemented
6#34463C212yesmaximal, complemented
7#34459C214yesmaximal, complemented
8#34455C214yesmaximal, complemented
9#34455C214yesmaximal, complemented
10#34409C214yesmaximal
11#34403C211yesmaximal, characteristic, complemented
12#34403C211yesmaximal, characteristic, complemented
13#34399C211yesmaximal, characteristic, complemented
14#34399C211yesmaximal, characteristic, complemented
15#34373C211yesmaximal, characteristic, complemented
16#34365C211yesmaximal, characteristic, complemented
17#34336C212yesmaximal, complemented
18#34314C212yesmaximal, complemented
19#34307C212yesmaximal, complemented
20#34304C212yesmaximal, complemented
21#34297C214yesmaximal, complemented
22#34254C214yesmaximal, complemented
23#34221C211yesmaximal, characteristic, complemented
24#34221C211yesmaximal, characteristic, complemented
25#34215C211yesmaximal, characteristic, complemented
26#34191C211yesmaximal, characteristic
27C4×#552C212yesmaximal, complemented
28#34123C211yesmaximal, characteristic
29#34085C211yesmaximal, characteristic, complemented
30#34074C211yesmaximal, characteristic, complemented
31C2×#2331C211yesmaximal, characteristic, complemented
32#3509C4132yescomplemented
33C2×#557C2212yes—
34C2×#557C2212yes—
35C2×#556C2212yes—
36C2×#556C2212yes—
37C2×#552C2212yes—
38C2×#552C2212yes—
39C2×#552C2212yes—
40C2×#552C2212yes—
41C2×#541C2212yes—
42C2×#541C2212yes—
43C2×#536C2212yes—
44C2×#533C2211yescharacteristic
45C2×#533C2211yescharacteristic
46C2×#533C2211yescharacteristic
47C2×#533C2211yescharacteristic
48C2×#533C2211yescharacteristic
49C22×C4⋊Q8C2211yescharacteristic
50C2×#519C2212yes—
51C2×C4×#41C2211yescharacteristic
52#2383C2214yes—
53#2383C2214yes—
54#2382C2214yes—
55#2382C2214yes—
56#2382C2214yes—
57#2382C2214yes—
58#2381C2214yes—
59#2381C2214yes—
60#2379C2214yes—
61#2378C2214yes—
62#2378C2214yes—
63#2378C2214yes—
64#2373C2214yes—
65#2373C2214yes—
66#2373C2214yes—
67#2373C2214yes—
68#2373C2214yes—
69#2373C2214yes—
70#2372C2214yes—
71#2371C2214yes—
72#2371C2214yes—
73#2371C2214yes—
74#2371C2214yes—
75#2370C2212yes—
76#2370C2214yes—
77#2370C2212yes—
78#2370C2214yes—
79#2370C2212yes—
80#2370C2214yes—
81#2370C2214yes—
82#2370C2212yes—
83#2369C2212yes—
84#2369C2212yes—
85#2369C2214yes—
86#2368C2214yes—
87#2368C2214yes—
88#2368C2214yes—
89#2368C2214yes—
90#2362C2212yes—
91#2362C2212yes—
92#2360C2212yes—
93#2360C2212yes—
94#2360C2212yes—
95#2360C2212yes—
96#2359C2214yes—
97#2359C2214yes—
98#2359C2214yes—
99#2359C2214yes—
100#2356C2212yes—
101#2356C2214yes—
102#2356C2212yes—
103#2356C2212yes—
104#2356C2214yes—
105#2356C2214yes—
106#2356C2214yes—
107#2356C2214yes—
108#2356C2214yes—
109#2355C2212yes—
110#2355C2212yes—
111#2355C2214yes—
112#2355C2214yes—
113#2355C2214yes—
114#2355C2214yes—
115#2355C2214yes—
116#2353C2212yes—
117#2353C2212yes—
118#2352C2212yes—
119#2352C2212yes—
120#2351C2212yes—
121#2351C2212yes—
122Q8×C4⋊C4C2212yes—
123#2349C2212yes—
124D4×C4⋊C4C2212yes—
125#2347C2212yes—
126#2347C2212yes—
127#2346C2212yes—
128#2346C2212yes—
129#2346C2212yes—
130#2346C2212yes—
131#2344C2212yes—
132#2344C2212yes—
133#2344C2214yes—
134#2343C2214yes—
135#2343C2214yes—
136#2343C2212yes—
137#2343C2212yes—
138#2343C2214yes—
139#2343C2214yes—
140#2343C2214yes—
141#2343C2214yes—
142#2343C2212yes—
143#2343C2212yes—
144#2343C2214yes—
145#2343C2214yes—
146#2339C2212yes—
147#2339C2212yes—
148#2337C2214yes—
149#2337C2214yes—
150#2336C2214yes—
151#2336C2214yes—
152#2336C2214yes—
153#2336C2214yes—
154#2336C2214yes—
155#2336C2214yes—
156#2334C2214yes—
157#2334C2214yes—
158#2334C2214yes—
159#2334C2214yes—
160#2334C2214yes—
161#2334C2214yes—
162#2332C2214yes—
163#2332C2214yes—
164#2332C2214yes—
165#2331C2212yes—
166#2331C2211yescharacteristic
167#2331C2211yescharacteristic
168#2331C2211yescharacteristic
169#2331C2214yes—
170#2331C2212yes—
171#2331C2211yescharacteristic
172#2331C2214yes—
173#2331C2211yescharacteristic
174#2331C2211yescharacteristic
175#2331C2211yescharacteristic
176#2331C2214yes—
177#2331C2211yescharacteristic
178#2331C2211yescharacteristic
179#2331C2211yescharacteristic
180#2331C2214yes—
181#2331C2211yescharacteristic
182#2331C2211yescharacteristic
183#2331C2214yes—
184#2330C2212yes—
185#2330C2212yes—
186#2330C2214yes—
187#2330C2214yes—
188#2329C2214yes—
189#2329C2214yes—
190#2329C2214yes—
191#2329C2214yes—
192#2327C2211yescharacteristic
193#2327C2211yescharacteristic
194#2327C2211yescharacteristic
195#2327C2211yescharacteristic
196#2323C2212yes—
197#2323C2212yes—
198#2322C2214yes—
199#2322C2214yes—
200#2320C2214yes—
201#2320C2214yes—
202#2320C2214yes—
203#2320C2214yes—
204#2320C2212yes—
205#2320C2212yes—
206#2320C2214yes—
207#2320C2212yes—
208#2320C2214yes—
209#2318C2212yes—
210#2318C2212yes—
211#2317C2214yes—
212#2317C2212yes—
213#2314C2214yes—
214#2310C2214yes—
215C4×#125C2212yes—
216C4×#125C2212yes—
217C4×#125C2214yes—
218C4×#125C2214yes—
219C4×#126C2214yes—
220C4×#126C2214yes—
221C4×C22⋊Q8C2212yes—
222C4×C22⋊Q8C2212yes—
223C4×C22⋊Q8C2212yes—
224C4×C22⋊Q8C2212yes—
225C4×#123C2214yes—
226C4×#123C2214yes—
227#2298C2214yes—
228#2296C2214yes—
229#2296C2212yes—
230#2295C2214yes—
231#2295C2212yes—
232#2295C2214yes—
233#2295C2214yes—
234#2295C2211yescharacteristic
235#2295C2214yes—
236#2295C2214yes—
237#2295C2211yescharacteristic
238C2×#391C2214yes—
239C2×#389C2212yes—
240#2290C2211yescharacteristic
241#2290C2211yescharacteristic
242#2290C2211yescharacteristic
243#2290C2211yescharacteristic
244C2×#387C2214yes—
245#2285C2211yescharacteristic
246#2283C2211yescharacteristic
247#2283C2211yescharacteristic
248#2283C2211yescharacteristic
249#2283C2211yescharacteristic
250#2283C2211yescharacteristic
251#2283C2211yescharacteristic
252C2×#382C2211yescharacteristic
253C2×#382C2211yescharacteristic
254#2276C2212yes—
255#2276C2212yes—
256#2275C2212yes—
257#2274C2212yes—
258#2274C2214yes—
259C42×Q8C2212yes—
260C42×D4C2211yescharacteristic
261C42×D4C2211yescharacteristic
262C4×#117C2212yes—
263C4×#117C2211yescharacteristic
264C4×#117C2214yes—
265C2×C4×C4⋊C4C2212yes—
266C2×#376C2211yescharacteristic
267C2×#376C2211yescharacteristic
268C22×#41C2311yescharacteristic
269C23×Q8C2312yes—
270#557C2×C4132yescomplemented
271#557C2×C4132yescomplemented
272#556C2×C4132yescomplemented
273#556C2×C4132yescomplemented
274#552C2×C4132yescomplemented
275#552C2×C4132yescomplemented
276#552C2×C4132yescomplemented
277#552C2×C4132yescomplemented
278#541C2×C4132yescomplemented
279#541C2×C4132yescomplemented
280#536C2×C4132yes—
281#533C2×C4116yescomplemented
282#533C2×C4116yescomplemented
283#533C2×C4116yescomplemented
284#533C2×C4116yescomplemented
285#533C2×C4116yescomplemented
286C2×C4⋊Q8C2×C4116yescomplemented
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2311yescharacteristic
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2314yes—
294C2×C4⋊Q8C2312yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#125C2312yes—
300C2×#125C2314yes—
301C2×#125C2314yes—
302C2×#125C2312yes—
303C2×#125C2314yes—
304C2×#125C2314yes—
305C2×#125C2312yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#124C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321#519C2×C4132yescomplemented
322C4×#41C2×C4116yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2314yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2314yes—
352C2×#117C2314yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2314yes—
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378#391C2314yes—
379#391C2314yes—
380#391C2314yes—
381#391C2314yes—
382#391C2314yes—
383#391C2314yes—
384#391C2314yes—
385#391C2314yes—
386#391C2312yes—
387#391C2314yes—
388#391C2314yes—
389#391C2314yes—
390#391C2312yes—
391#391C2312yes—
392#391C2314yes—
393#391C2314yes—
394#391C2314yes—
395#391C2312yes—
396#391C2314yes—
397#391C2314yes—
398#391C2314yes—
399#391C2312yes—
400#391C2312yes—
401#391C2314yes—
402#391C2314yes—
403#391C2314yes—
404#391C2314yes—
405#389C2312yes—
406#389C2312yes—
407#389C2312yes—
408#389C2312yes—
409#389C2314yes—
410#389C2314yes—
411#389C2314yes—
412#389C2314yes—
413#389C2314yes—
414#389C2314yes—
415#389C2314yes—
416#389C2314yes—
417#389C2314yes—
418#389C2314yes—
419#389C2314yes—
420#389C2314yes—
421#389C2312yes—
422#389C2312yes—
423#389C2314yes—
424#389C2314yes—
425#389C2314yes—
426#389C2312yes—
427#389C2312yes—
428#389C2314yes—
429#389C2314yes—
430#389C2314yes—
431#389C2314yes—
432#389C2314yes—
433#389C2312yes—
434#389C2314yes—
435#389C2314yes—
436#389C2314yes—
437#389C2312yes—
438#389C2312yes—
439#389C2312yes—
440#389C2312yes—
441#389C2314yes—
442#389C2314yes—
443#389C2312yes—
444#388C2312yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2312yes—
464#388C2312yes—
465#388C2312yes—
466#387C2314yes—
467#387C2314yes—
468#387C2314yes—
469#387C2314yes—
470#387C2314yes—
471#387C2314yes—
472#387C2312yes—
473#387C2314yes—
474#387C2314yes—
475#387C2314yes—
476#387C2314yes—
477#387C2314yes—
478#387C2314yes—
479#387C2314yes—
480#387C2314yes—
481#387C2314yes—
482#387C2314yes—
483#387C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2312yes—
490#387C2312yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2312yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2312yes—
541#387C2314yes—
542#387C2312yes—
543#387C2314yes—
544#387C2312yes—
545#387C2312yes—
546#386C2314yes—
547#386C2314yes—
548#386C2312yes—
549#386C2312yes—
550#386C2312yes—
551#386C2312yes—
552#385C2312yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2312yes—
566#385C2312yes—
567#385C2314yes—
568#385C2312yes—
569#385C2314yes—
570#384C2314yes—
571#384C2314yes—
572#384C2312yes—
573#383C2314yes—
574#383C2314yes—
575#383C2312yes—
576#383C2312yes—
577#383C2314yes—
578#383C2314yes—
579#383C2314yes—
580#383C2314yes—
581#383C2312yes—
582#383C2312yes—
583#383C2312yes—
584#383C2312yes—
585#382C2312yes—
586#382C2314yes—
587#382C2314yes—
588#382C2314yes—
589#382C2314yes—
590#382C2314yes—
591#382C2314yes—
592#382C2312yes—
593#382C2312yes—
594#382C2314yes—
595#382C2314yes—
596#382C2312yes—
597#382C2312yes—
598#382C2312yes—
599#382C2311yescharacteristic
600#382C2311yescharacteristic
601#382C2311yescharacteristic
602#382C2311yescharacteristic
603#382C2312yes—
604#382C2312yes—
605#382C2312yes—
606#381C2312yes—
607#381C2312yes—
608#381C2314yes—
609#381C2314yes—
610#381C2312yes—
611#381C2312yes—
612#381C2312yes—
613#381C2312yes—
614#380C2312yes—
615#380C2312yes—
616#380C2312yes—
617#380C2312yes—
618#380C2312yes—
619#380C2312yes—
620#380C2312yes—
621#380C2312yes—
622C4×C4⋊C4C2314yes—
623C4×C4⋊C4C2314yes—
624C4×C4⋊C4C2314yes—
625C4×C4⋊C4C2314yes—
626C4×C4⋊C4C2314yes—
627C4×C4⋊C4C2314yes—
628C4×C4⋊C4C2312yes—
629C4×C4⋊C4C2314yes—
630C4×C4⋊C4C2314yes—
631C4×C4⋊C4C2312yes—
632C4×C4⋊C4C2314yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2314yes—
636C4×C4⋊C4C2314yes—
637C4×C4⋊C4C2312yes—
638C4×C4⋊C4C2312yes—
639C4×C4⋊C4C2314yes—
640C4×C4⋊C4C2314yes—
641C4×C4⋊C4C2314yes—
642C4×C4⋊C4C2314yes—
643C4×C4⋊C4C2314yes—
644C4×C4⋊C4C2314yes—
645C4×C4⋊C4C2314yes—
646C4×C4⋊C4C2314yes—
647C4×C4⋊C4C2314yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2312yes—
650C4×C4⋊C4C2314yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2314yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2311yescharacteristic
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2312yes—
717#376C2311yescharacteristic
718#376C2311yescharacteristic
719#376C2314yes—
720#376C2314yes—
721#376C2314yes—
722#376C2314yes—
723#376C2312yes—
724#376C2311yescharacteristic
725#376C2311yescharacteristic
726#376C2311yescharacteristic
727#376C2311yescharacteristic
728#376C2311yescharacteristic
729#376C2314yes—
730#376C2312yes—
731#376C2312yes—
732#376C2312yes—
733#376C2311yescharacteristic
734#376C2314yes—
735#376C2312yes—
736#376C2312yes—
737#376C2314yes—
738#376C2314yes—
739#376C2312yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2314yes—
748C2×#95C2314yes—
749C2×#95C2312yes—
750C43C2314yes—
751C43C2314yes—
752C43C2311yescharacteristic
753C43C2311yescharacteristic
754C2×#41—44no—
755C2×#41C22×C418yes—
756C22×Q8—48no—
757C22×Q8C22×C4116yes—
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2414yes—
763C22×Q8C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C4⋊Q8C22×C418yes—
784C4⋊Q8C22×C418yes—
785C4⋊Q8C22×C4116yes—
786C4⋊Q8C22×C4116yes—
787C4⋊Q8C22×C4116yes—
788C4⋊Q8C22×C418yes—
789C4⋊Q8C22×C418yes—
790C4⋊Q8C22×C4132yes—
791#126C22×C4132yes—
792#126C22×C4132yes—
793#126C22×C4132yes—
794#126C22×C4132yes—
795#125C22×C4116yes—
796#125C22×C4116yes—
797#125C22×C4116yes—
798#125C22×C4116yes—
799#125C22×C4116yes—
800#125C22×C4132yes—
801#125C22×C4132yes—
802#125C22×C4132yes—
803#125C22×C4132yes—
804#124C22×C4132yes—
805#123C22×C4132yes—
806#123C22×C4132yes—
807C22⋊Q8C22×C4116yes—
808C22⋊Q8C22×C4116yes—
809C22⋊Q8C22×C4116yes—
810C22⋊Q8C22×C4116yes—
811C22⋊Q8C22×C4116yes—
812C22⋊Q8C22×C4116yes—
813C22⋊Q8C22×C4116yes—
814C22⋊Q8C22×C4116yes—
815C22⋊Q8C22×C4116yes—
816C22⋊Q8C22×C4116yes—
817C4×Q8—28no—
818C4×Q8—44no—
819C4×Q8—44no—
820C4×Q8—44no—
821C4×Q8C22×C418yes—
822C4×Q8C22×C418yes—
823C4×Q8C22×C4116yes—
824C4×Q8C22×C4116yes—
825C4×Q8C22×C4116yes—
826C4×Q8C22×C4116yes—
827C4×Q8C22×C4132yes—
828C4×Q8C22×C4132yes—
829C4×Q8C22×C4116yes—
830C4×Q8C22×C4116yes—
831C4×Q8C22×C4116yes—
832C4×Q8C22×C4116yes—
833C4×Q8C22×C4116yes—
834C4×Q8C22×C4116yes—
835C4×D4—44no—
836C4×D4—48no—
837C4×D4—44no—
838C4×D4C22×C418yes—
839C4×D4C22×C418yes—
840C4×D4C22×C418yes—
841C4×D4C22×C418yes—
842C4×D4C22×C418yes—
843C4×D4C22×C418yes—
844#117—24no—
845#117—42no—
846#117—48no—
847#117—48no—
848#117—44no—
849#117C22×C418yes—
850#117C22×C418yes—
851#117C22×C418yes—
852#117C22×C4116yes—
853#117C22×C4132yes—
854#117C22×C4132yes—
855#117C22×C4116yes—
856#117C22×C4116yes—
857#117C22×C4116yes—
858#117C22×C4116yes—
859C2×C4⋊C4—44no—
860C2×C4⋊C4—44no—
861C2×C4⋊C4—48no—
862C2×C4⋊C4C22×C4116yes—
863C2×C4⋊C4C22×C4116yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C42—24no—
946C2×C42—24no—
947C2×C42—42no—
948C2×C42—42no—
949C2×C42—48no—
950C2×C42C22×C418yes—
951C2×C42C22×C418yes—
952C2×C42C22×C418yes—
953C2×C42C2411yescharacteristic
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2411yescharacteristic
957C2×C42C2411yescharacteristic
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2412yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2412yes—
975C2×C42C2414yes—
976C2×C42C2412yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2411yescharacteristic
995C2×C42C2414yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084C24C2511yescharacteristic
1085#41—416no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—432no—
1089C2×Q8—44no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—42no—
1095C2×Q8C23×C418yes—
1096C2×Q8C23×C418yes—
1097C2×Q8C23×C418yes—
1098C2×Q8C23×C418yes—
1099C2×Q8C23×C4116yes—
1100C2×Q8C23×C414yes—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—42no—
1104C2×D4C23×C414yes—
1105C2×D4C23×C414yes—
1106C2×D4C23×C414yes—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—24no—
1117C22×C4—28no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—44no—
1135C22×C4—42no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4C23×C414yes—
1140C22×C4C23×C414yes—
1141C22×C4C23×C414yes—
1142C22×C4C23×C414yes—
1143C22×C4C23×C4116yes—
1144C22×C4C23×C414yes—
1145C22×C4C23×C414yes—
1146C22×C4C23×C414yes—
1147C22×C4C23×C414yes—
1148C22×C4C23×C414yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2512yes—
1160C22×C4C2511yescharacteristic
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2511yescharacteristic
1164C22×C4C2511yescharacteristic
1165C22×C4C2514yes—
1166C22×C4C2514yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C22×C4C2511yescharacteristic
1171C22×C4C2514yes—
1172C22×C4C2514yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C4⋊C4—24no—
1178C4⋊C4—28no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—24no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—42no—
1204C4⋊C4—44no—
1205C4⋊C4—42no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4C23×C418yes—
1210C4⋊C4C23×C418yes—
1211C4⋊C4C23×C418yes—
1212C4⋊C4C23×C418yes—
1213C4⋊C4C23×C4116yes—
1214C4⋊C4C23×C4116yes—
1215C4⋊C4C23×C418yes—
1216C4⋊C4C23×C418yes—
1217C4⋊C4C23×C414yes—
1218C4⋊C4C23×C414yes—
1219C4⋊C4C23×C414yes—
1220C4⋊C4C23×C414yes—
1221C4⋊C4C23×C414yes—
1222C4⋊C4C23×C414yes—
1223C4⋊C4C23×C418yes—
1224C4⋊C4C23×C418yes—
1225C4⋊C4C23×C4116yes—
1226C4⋊C4C23×C4116yes—
1227C4⋊C4C23×C4116yes—
1228C4⋊C4C23×C4116yes—
1229C4⋊C4C23×C4116yes—
1230C4⋊C4C23×C4116yes—
1231C4⋊C4C23×C4116yes—
1232C4⋊C4C23×C4116yes—
1233C4⋊C4C23×C4116yes—
1234C4⋊C4C23×C4116yes—
1235C22⋊C4—24no—
1236C22⋊C4—28no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—44no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4C23×C414yes—
1248C22⋊C4C23×C414yes—
1249C22⋊C4C23×C4116yes—
1250C22⋊C4C23×C414yes—
1251C22⋊C4C23×C414yes—
1252C22⋊C4C23×C414yes—
1253C22⋊C4C23×C414yes—
1254C22⋊C4C23×C4116yes—
1255C22⋊C4C23×C4116yes—
1256C22⋊C4C23×C4116yes—
1257C22⋊C4C23×C4116yes—
1258C42—24no—
1259C42—24no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—28no—
1264C42—22no—
1265C42—22no—
1266C42—22no—
1267C42—22no—
1268C42—42no—
1269C42—44no—
1270C42—44no—
1271C42—44no—
1272C42—42no—
1273C42—44no—
1274C42—42no—
1275C42—44no—
1276C42—42no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—42no—
1288C42—44no—
1289C42—42no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42C23×C414yes—
1294C42C23×C414yes—
1295C42C23×C414yes—
1296C42C23×C414yes—
1297C42C23×C414yes—
1298C42C23×C414yes—
1299C42C23×C414yes—
1300C42C23×C414yes—
1301C42C23×C414yes—
1302C42C23×C414yes—
1303C42C23×C4116yes—
1304C42C23×C4116yes—
1305C42C23×C4116yes—
1306C42C23×C4116yes—
1307C42C23×C4116yes—
1308C422−1+414yes—
1309C23—21no—
1310C23—21no—
1311C23—22no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23C24×C412yes—
1321C23C24×C412yes—
1322C23C24×C412yes—
1323C23#58514yes—
1324C23C2611yescharacteristic
1325Q8—216no—
1326Q8—48no—
1327Q8—48no—
1328Q8—416no—
1329Q8—48no—
1330Q8—44no—
1331D4—28no—
1332D4—28no—
1333D4—44no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—24no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—21no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—21no—
1348C2×C4—24no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—232no—
1359C2×C4—28no—
1360C2×C4—28no—
1361C2×C4—28no—
1362C2×C4—28no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—48no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—88no—
1405C2×C4—84no—
1406C2×C4—164no—
1407C2×C4C24×C412yes—
1408C2×C4C24×C412yes—
1409C2×C4C24×C412yes—
1410C2×C4C24×C412yes—
1411C2×C4C24×C412yes—
1412C2×C4C24×C412yes—
1413C2×C4C24×C412yes—
1414C2×C4C24×C418yes—
1415C2×C4C24×C418yes—
1416C2×C4C24×C412yes—
1417C2×C4C24×C412yes—
1418C2×C4C24×C418yes—
1419C2×C4C24×C418yes—
1420C2×C4C24×C412yes—
1421C2×C4C24×C412yes—
1422C2×C4C24×C412yes—
1423C2×C4C2×2−1+414yes—
1424C2×C4C2×2−1+412yes—
1425C2×C4#58512yes—
1426C22—22no—
1427C22—22no—
1428C22—24no—
1429C22—24no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22#342814yes—
1441C22C25×C411yescharacteristic
1442C22C22×2−1+411yescharacteristic
1443C22C2×#58512yes—
1444C22C2×#58511yescharacteristic
1445C222−1+612yes—
1446C4—22no—
1447C4—22no—
1448C4—28no—
1449C4—28no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—28no—
1456C4—22no—
1457C4—22no—
1458C4—22no—
1459C4—22no—
1460C4—28no—
1461C4—24no—
1462C4—42no—
1463C4—44no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—44no—
1470C4—42no—
1471C4—44no—
1472C4—44no—
1473C4C4×2−1+414yes—
1474C2—24no—
1475C2—42no—
1476C2—42no—
1477C2C2×#342811yescharacteristic
1478C2C2×C4×2−1+411yescharacteristic
1479C2#6265311yescharacteristic
1480C2#6292812yes—
1481C2#6294012yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC22×#41C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34505C2semidirect
3. #34490C2semidirect
4. #34490C2semidirect
5. #34465C2semidirect
6. #34463C2semidirect
7. #34459C2semidirect
8. #34455C2semidirect
9. #34455C2semidirect
11. #34403C2semidirect
12. #34403C2semidirect
13. #34399C2semidirect
14. #34399C2semidirect
15. #34373C2semidirect
16. #34365C2semidirect
17. #34336C2semidirect
18. #34314C2semidirect
19. #34307C2semidirect
20. #34304C2semidirect
21. #34297C2semidirect
22. #34254C2semidirect
23. #34221C2semidirect
24. #34221C2semidirect
25. #34215C2semidirect
27. C4×#552C2semidirect
29. #34085C2semidirect
30. #34074C2semidirect
31. C2×#2331C2semidirect
32. #3509C4semidirect
270. #557C2×C4semidirect
271. #557C2×C4semidirect
272. #556C2×C4semidirect
273. #556C2×C4semidirect
274. #552C2×C4semidirect
275. #552C2×C4semidirect
276. #552C2×C4semidirect
277. #552C2×C4semidirect
278. #541C2×C4semidirect
279. #541C2×C4semidirect
281. #533C2×C4semidirect
282. #533C2×C4semidirect
283. #533C2×C4semidirect
284. #533C2×C4semidirect
285. #533C2×C4semidirect
286. C2×C4⋊Q8C2×C4semidirect
321. #519C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
#345052
#344902
#344652
#344632
#344592
#344552
#344092
#344032
#343992
#343732
#343652
#343362
#343142
#343072
#343042
#342972
#342542
#342212
#342152
#341912
C4×#5522
#341232
#340852
#340742
C2×#23312