Finite Group Databasebeta

← #7697389

Subgroups — #7697389

Order 512.

5993 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59946C211yesmaximal, characteristic, complemented
2#59379C211yesmaximal, characteristic, complemented
3#59198C211yesmaximal, characteristic, complemented
4#59193C212yesmaximal, complemented
5#59191C212yesmaximal, complemented
6#59162C212yesmaximal, complemented
7#52185C211yesmaximal, characteristic, complemented
8C2×#2717C212yesmaximal, complemented
9#45292C212yesmaximal, complemented
10#44960C212yesmaximal, complemented
11#44920C212yesmaximal, complemented
12#44023C214yesmaximal, complemented
13#43978C214yesmaximal, complemented
14#43224C214yesmaximal, complemented
15#39045C212yesmaximal, complemented
16#39037C214yesmaximal, complemented
17#38249C212yesmaximal, complemented
18#38245C214yesmaximal, complemented
19#37854C214yesmaximal, complemented
20#37852C212yesmaximal, complemented
21#36212C211yesmaximal, characteristic
22D4×#124C211yesmaximal, characteristic, complemented
23D4×#123C211yesmaximal, characteristic, complemented
24#35976C212yesmaximal, complemented
25#35873C212yesmaximal, complemented
26#35739C212yesmaximal, complemented
27#34288C212yesmaximal, complemented
28#34260C212yesmaximal, complemented
29#34175C212yesmaximal, complemented
30C23×#41C2211yescharacteristic
31C2×#551C2212yes—
32C2×D4×Q8C2211yescharacteristic, complemented
33C2×#546C2212yes—
34C2×D42C2211yescharacteristic
35C22×#124C2212yes—
36C22×#123C2212yes—
37C2×#520C2212yes—
38C2×#520C2212yes—
39C22×C4×D4C2211yescharacteristic, complemented
40#2858C2211yescharacteristic, complemented
41#2854C2211yescharacteristic, complemented
42#2850C2212yescomplemented
43#2849C2212yes—
44#2849C2212yescomplemented
45#2847C2211yescharacteristic
46#2798C2214yescomplemented
47#2797C2214yescomplemented
48#2796C2214yescomplemented
49#2789C2212yescomplemented
50#2764C2212yescomplemented
51#2763C2214yescomplemented
52#2759C2214yescomplemented
53#2752C2214yescomplemented
54#2749C2214yescomplemented
55#2748C2211yescharacteristic
56#2748C2214yescomplemented
57#2747C2214yescomplemented
58#2747C2212yescomplemented
59#2746C2214yescomplemented
60#2746C2212yescomplemented
61#2745C2212yescomplemented
62#2744C2212yescomplemented
63#2743C2212yescomplemented
64#2742C2214yescomplemented
65#2741C2214yescomplemented
66#2741C2214yescomplemented
67#2737C2214yescomplemented
68#2737C2214yescomplemented
69#2735C2212yescomplemented
70#2730C2214yescomplemented
71#2723C2214yescomplemented
72#2722C2212yescomplemented
73#2717C2212yes—
74#2717C2212yes—
75#2717C2212yes—
76#2717C2211yescharacteristic
77#2717C2214yescomplemented
78#2717C2214yescomplemented
79#2717C2214yescomplemented
80#2717C2214yescomplemented
81#2717C2214yescomplemented
82#2717C2214yescomplemented
83#2706C2214yescomplemented
84#2697C2211yescharacteristic
85#2684C2211yescharacteristic
86#2644C2212yescomplemented
87#2643C2214yescomplemented
88#2628C2212yescomplemented
89#2627C2214yescomplemented
90#2624C2212yescomplemented
91#2623C2214yescomplemented
92#2610C2214yescomplemented
93#2605C2214yescomplemented
94#2603C2214yescomplemented
95#2602C2214yescomplemented
96#2589C2214yescomplemented
97#2586C2212yescomplemented
98#2581C2212yescomplemented
99#2578C2214yescomplemented
100#2578C2214yescomplemented
101#2577C2214yescomplemented
102#2574C2214yescomplemented
103#2567C2212yescomplemented
104#2564C2214yescomplemented
105#2564C2214yescomplemented
106#2557C2214yescomplemented
107#2553C2214yescomplemented
108#2553C2214yescomplemented
109#2548C2211yescharacteristic, complemented
110#2547C2211yescharacteristic
111#2531C2214yescomplemented
112#2531C2214yescomplemented
113#2530C2214yescomplemented
114#2527C2214yescomplemented
115#2523C2212yescomplemented
116#2522C2214yescomplemented
117#2521C2214yescomplemented
118#2521C2214yescomplemented
119#2518C2214yescomplemented
120#2516C2214yescomplemented
121#2513C2212yescomplemented
122#2513C2212yescomplemented
123#2512C2212yescomplemented
124#2510C2214yescomplemented
125#2510C2214yescomplemented
126#2510C2214yescomplemented
127#2504C2212yescomplemented
128#2501C2211yescharacteristic, complemented
129#2498C2214yescomplemented
130#2496C2212yescomplemented
131#2495C2212yescomplemented
132#2494C2212yescomplemented
133#2491C2212yes—
134#2491C2212yescomplemented
135#2486C2211yescharacteristic
136#2486C2212yescomplemented
137#2483C2212yescomplemented
138#2482C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2480C2214yescomplemented
143#2472C2214yes—
144#2472C2214yescomplemented
145#2472C2214yescomplemented
146#2471C2214yescomplemented
147#2461C2214yescomplemented
148#2461C2214yescomplemented
149#2451C2212yescomplemented
150#2451C2212yescomplemented
151#2449C2214yescomplemented
152#2449C2214yescomplemented
153#2448C2212yescomplemented
154#2448C2212yescomplemented
155#2445C2212yescomplemented
156#2444C2214yescomplemented
157#2444C2214yescomplemented
158#2443C2214yescomplemented
159#2440C2212yescomplemented
160#2440C2212yescomplemented
161#2438C2214yescomplemented
162#2438C2214yescomplemented
163#2438C2214yescomplemented
164#2436C2211yescharacteristic
165#2436C2212yescomplemented
166#2435C2212yes—
167#2431C2212yes—
168#2430C2214yes—
169#2422C2212yes—
170#2421C2212yescomplemented
171#2421C2212yescomplemented
172#2419C2214yescomplemented
173#2418C2214yes—
174#2418C2214yescomplemented
175#2418C2214yescomplemented
176#2418C2214yescomplemented
177#2412C2212yescomplemented
178#2410C2212yes—
179#2409C2211yescharacteristic
180#2409C2214yescomplemented
181#2407C2212yes—
182#2405C2212yes—
183#2404C2214yes—
184#2403C2212yes—
185#2401C2212yescomplemented
186#2396C2212yescomplemented
187#2395C2212yescomplemented
188C2×#397C2214yescomplemented
189C2×#397C2214yescomplemented
190C2×#395C2214yescomplemented
191#2374C2212yes—
192#2372C2212yes—
193#2367C2212yescomplemented
194#2361C2212yescomplemented
195#2361C2214yescomplemented
196#2360C2212yescomplemented
197#2359C2214yescomplemented
198#2358C2214yescomplemented
199#2356C2212yescomplemented
200#2355C2212yescomplemented
201#2353C2214yescomplemented
202#2352C2214yescomplemented
203#2349C2212yescomplemented
204#2349C2212yescomplemented
205D4×C4⋊C4C2212yescomplemented
206D4×C4⋊C4C2212yescomplemented
207D4×C4⋊C4C2212yescomplemented
208#2345C2212yescomplemented
209#2344C2212yescomplemented
210#2343C2214yescomplemented
211#2343C2214yescomplemented
212#2342C2214yescomplemented
213#2341C2212yescomplemented
214#2341C2212yescomplemented
215Q8×C22⋊C4C2212yescomplemented
216Q8×C22⋊C4C2212yescomplemented
217#2339C2212yes—
218#2339C2212yes—
219#2339C2212yes—
220#2339C2214yescomplemented
221#2339C2214yescomplemented
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2211yescharacteristic
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yescomplemented
226D4×C22⋊C4C2214yescomplemented
227D4×C22⋊C4C2214yescomplemented
228D4×C22⋊C4C2211yescharacteristic, complemented
229#2326C2212yescomplemented
230#2325C2214yescomplemented
231#2324C2212yescomplemented
232#2322C2214yescomplemented
233#2320C2212yescomplemented
234#2318C2214yescomplemented
235#2314C2212yescomplemented
236#2313C2214yescomplemented
237#2311C2214yescomplemented
238#2311C2212yescomplemented
239#2311C2214yescomplemented
240#2311C2212yescomplemented
241C4×#124C2211yescharacteristic
242C4×C22⋊Q8C2212yescomplemented
243C4×#123C2211yescharacteristic
244C4×#120C2211yescharacteristic
245C4×#120C2214yescomplemented
246#2298C2212yescomplemented
247#2295C2212yescomplemented
248#2290C2214yescomplemented
249#2290C2212yescomplemented
250C2×#387C2214yescomplemented
251C2×#386C2212yes—
252C2×#385C2214yescomplemented
253#2280C2214yescomplemented
254#2280C2212yescomplemented
255C2×#380C2212yescomplemented
256C2×#380C2214yescomplemented
257#2275C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41—216no—
260C22×#41—44no—
261C22×#41C2314yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C23×Q8C2311yescharacteristic
265C23×Q8C2312yes—
266C23×D4C2311yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272C24×C4C2312yes—
273#551—48no—
274D4×Q8—44no—
275#546—216no—
276D42—44no—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#124—48no—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2311yescharacteristic
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2312yes—
291C2×#123—48no—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2311yescharacteristic
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#120C2314yes—
312C2×#120C2311yescharacteristic
313C2×#120C2312yes—
314C2×#120C2312yes—
315C2×#120C2312yes—
316#520—216no—
317#520—48no—
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2312yes—
323C2×C4×D4—44no—
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2312yes—
343C2×#117C2314yes—
344C2×#117C2314yes—
345C22×C4⋊C4C2314yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2314yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2314yes—
351C22×C4⋊C4C2314yes—
352C22×C22⋊C4C2314yes—
353C22×C22⋊C4C2314yes—
354C22×C22⋊C4C2314yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C42C2312yes—
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#399C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2312yes—
385#398C2314yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2312yes—
390#398C2312yes—
391#397C2312yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#396C2314yes—
421#396C2314yes—
422#396C2312yes—
423#396C2312yes—
424#396C2312yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2312yes—
430#395C2314yes—
431#395C2312yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2312yes—
451#393C2312yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2314yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#390C2312yes—
473#390C2314yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2311yescharacteristic
485#389C2314yes—
486#389C2314yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#388C2314yes—
498#388C2314yes—
499#388C2312yes—
500#388C2314yes—
501#388C2314yes—
502#388C2312yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2312yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2312yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2312yes—
552#387C2312yes—
553#387C2314yes—
554#387C2314yes—
555#387C2312yes—
556#387C2314yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2312yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2312yes—
585#386C2312yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2312yes—
590#386C2311yescharacteristic
591#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2311yescharacteristic
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2312yes—
606#385C2314yes—
607#385C2314yes—
608#385C2312yes—
609#385C2314yes—
610#385C2314yes—
611#385C2311yescharacteristic
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2311yescharacteristic
622#385C2312yes—
623#385C2314yes—
624#385C2312yes—
625#384C2312yes—
626#384C2312yes—
627#383C2314yes—
628#383C2314yes—
629#383C2314yes—
630#382C2312yes—
631#382C2314yes—
632#382C2314yes—
633#382C2312yes—
634#382C2311yescharacteristic
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#381C2311yescharacteristic
639#381C2312yes—
640#381C2314yes—
641#381C2312yes—
642#381C2312yes—
643#381C2314yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2312yes—
654#380C2314yes—
655#380C2312yes—
656#380C2312yes—
657#380C2314yes—
658#380C2311yescharacteristic
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#379C2312yes—
672#379C2312yes—
673#379C2314yes—
674#379C2314yes—
675#379C2312yes—
676#379C2312yes—
677#379C2314yes—
678#379C2311yescharacteristic
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712#376C2312yes—
713#376C2314yes—
714#376C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C43C2311yescharacteristic
723C25C2412yes—
724C25C2412yes—
725C25C2411yescharacteristic
726C2×#41—28no—
727C2×#41—28no—
728C2×#41—216no—
729C2×#41—28no—
730C2×#41—216no—
731C2×#41—28no—
732C2×#41—48no—
733C2×#41—44no—
734C2×#41—464no—
735C2×#41#41116yes—
736C22×Q8—28no—
737C22×Q8—44no—
738C22×Q8—42no—
739C22×Q8—44no—
740C22×Q8—82no—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×Q8C2414yes—
746C22×D4—28no—
747C22×D4—216no—
748C22×D4—28no—
749C22×D4—24no—
750C22×D4—24no—
751C22×D4—28no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—82no—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2411yescharacteristic
769C23×C4—216no—
770C23×C4—28no—
771C23×C4—42no—
772C23×C4—44no—
773C23×C4—44no—
774C23×C4—44no—
775C23×C4—82no—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2414yes—
795C23×C4C2414yes—
796C4⋊Q8—44no—
797C4⋊Q8—42no—
798#127—42no—
799#126—48no—
800#126—84no—
801#124—28no—
802#124—24no—
803#124—28no—
804#124—44no—
805#124—44no—
806#124—48no—
807#124—48no—
808#124—82no—
809#123—24no—
810#123—28no—
811#123—216no—
812#123—48no—
813#123—48no—
814#123—44no—
815#123—44no—
816#123—48no—
817#123—82no—
818C22⋊Q8—28no—
819C22⋊Q8—44no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—84no—
823#121—216no—
824#121—28no—
825#121—42no—
826#121—42no—
827#121—44no—
828#120—216no—
829#120—24no—
830#120—44no—
831#120—44no—
832#120—82no—
833C4×Q8—28no—
834C4×Q8—28no—
835C4×Q8—42no—
836C4×Q8—44no—
837C4×Q8—44no—
838C4×D4—216no—
839C4×D4—216no—
840C4×D4—28no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—24no—
846C4×D4—28no—
847C4×D4—44no—
848C4×D4—42no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—48no—
852C4×D4—48no—
853C4×D4—84no—
854#117—216no—
855#117—28no—
856#117—44no—
857#117—48no—
858#117—48no—
859C2×C4⋊C4—216no—
860C2×C4⋊C4—28no—
861C2×C4⋊C4—42no—
862C2×C4⋊C4—44no—
863C2×C4⋊C4—48no—
864C2×C4⋊C4—48no—
865C2×C4⋊C4—84no—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C22⋊C4—216no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—48no—
913C2×C22⋊C4—44no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—48no—
917C2×C22⋊C4—82no—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2411yescharacteristic
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C42—42no—
980C2×C42—44no—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2411yescharacteristic
989C2×C42C2412yes—
990C2×C42C2411yescharacteristic
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2411yescharacteristic
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063C24—24no—
1064C24—24no—
1065C24—28no—
1066C24—24no—
1067C24—28no—
1068C24—22no—
1069C24—24no—
1070C24—24no—
1071C24—42no—
1072C24—41no—
1073C24—42no—
1074C24—44no—
1075C24—44no—
1076C24—42no—
1077C24—41no—
1078C24C2512yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2511yescharacteristic
1082C24C2511yescharacteristic
1083C24C2512yes—
1084#41—264no—
1085#41—464no—
1086#41—432no—
1087C2×Q8—24no—
1088C2×Q8—28no—
1089C2×Q8—24no—
1090C2×Q8—22no—
1091C2×Q8—24no—
1092C2×Q8—41no—
1093C2×Q8—42no—
1094C2×Q8—41no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×Q8—42no—
1100C2×Q8—416no—
1101C2×Q8—816no—
1102C2×Q8C2×#4118yes—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—41no—
1122C2×D4—44no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—432no—
1136C2×D4—416no—
1137C2×D4—416no—
1138C2×D4—816no—
1139C2×D4C2×#41116yes—
1140C2×D4C2×#4118yes—
1141C2×D4H(5,𝔽2)14yes—
1142C2×D4H(5,𝔽2)14yes—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—22no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—24no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—41no—
1173C22×C4—42no—
1174C22×C4—432no—
1175C22×C4—416no—
1176C22×C4—41no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—816no—
1199C22×C4C2×#41116yes—
1200C22×C4C2×#4118yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—41no—
1259C4⋊C4—44no—
1260C4⋊C4—41no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—22no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—22no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—41no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—41no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C42—28no—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—22no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—42no—
1340C42—44no—
1341C42—44no—
1342C42—42no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—41no—
1348C23—22no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—21no—
1357C23—21no—
1358C23—22no—
1359C23—21no—
1360C23—21no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—24no—
1366C23—24no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—24no—
1374C23—24no—
1375C23—44no—
1376C23—48no—
1377C23—48no—
1378C23—416no—
1379C23—416no—
1380C23—48no—
1381C23—48no—
1382C23—48no—
1383C23—84no—
1384C23—84no—
1385C23—88no—
1386C23—88no—
1387C23—84no—
1388C23—82no—
1389C23—82no—
1390C23C22×#4114yes—
1391C23C22×#4118yes—
1392C23C2×H(5,𝔽2)12yes—
1393C23C2×H(5,𝔽2)12yes—
1394C23C2×H(5,𝔽2)14yes—
1395C23C2611yescharacteristic
1396Q8—216no—
1397Q8—48no—
1398Q8—44no—
1399Q8—84no—
1400Q8—88no—
1401D4—232no—
1402D4—44no—
1403D4—416no—
1404D4—48no—
1405D4—48no—
1406D4—48no—
1407D4—44no—
1408D4—44no—
1409D4—84no—
1410D4—88no—
1411D4—84no—
1412D4—84no—
1413D4—162no—
1414D4#551116yescomplemented
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—232no—
1422C2×C4—216no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—44no—
1478C2×C4—48no—
1479C2×C4—416no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—88no—
1486C2×C4—88no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—82no—
1493C2×C4—88no—
1494C2×C4—164no—
1495C2×C4C22×#4118yes—
1496C2×C4C22×#4114yes—
1497C2×C4C22×#4114yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×H(5,𝔽2)12yes—
1500C22—28no—
1501C22—24no—
1502C22—28no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—24no—
1508C22—22no—
1509C22—22no—
1510C22—24no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—41no—
1520C22—41no—
1521C22—44no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—44no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—816no—
1532C22—816no—
1533C22—88no—
1534C22C2×#55118yes—
1535C22C23×#4112yes—
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C22×H(5,𝔽2)11yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C222−1+612yes—
1540C4—22no—
1541C4—24no—
1542C4—28no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—44no—
1560C4—41no—
1561C4—41no—
1562C4C2×#55114yes—
1563C2—28no—
1564C2—44no—
1565C2—42no—
1566C2—42no—
1567C2—82no—
1568C2—82no—
1569C2C22×#55111yescharacteristic
1570C2#6285712yes—
1571C2#6289211yescharacteristic
1572C2#6298512yes—
1573C2#6306311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36212C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59946C2semidirect
2. #59379C2semidirect
3. #59198C2semidirect
4. #59193C2semidirect
5. #59191C2semidirect
6. #59162C2semidirect
7. #52185C2semidirect
8. C2×#2717C2semidirect
9. #45292C2semidirect
10. #44960C2semidirect
11. #44920C2semidirect
12. #44023C2semidirect
13. #43978C2semidirect
14. #43224C2semidirect
15. #39045C2semidirect
16. #39037C2semidirect
17. #38249C2semidirect
18. #38245C2semidirect
19. #37854C2semidirect
20. #37852C2semidirect
22. D4×#124C2semidirect
23. D4×#123C2semidirect
24. #35976C2semidirect
25. #35873C2semidirect
26. #35739C2semidirect
27. #34288C2semidirect
28. #34260C2semidirect
29. #34175C2semidirect
32. C2×D4×Q8C22semidirect
39. C22×C4×D4C22semidirect
40. #2858C22semidirect
41. #2854C22semidirect
42. #2850C22semidirect
44. #2849C22semidirect
46. #2798C22semidirect
47. #2797C22semidirect
48. #2796C22semidirect
49. #2789C22semidirect
50. #2764C22semidirect
51. #2763C22semidirect
52. #2759C22semidirect
53. #2752C22semidirect
54. #2749C22semidirect
56. #2748C22semidirect
57. #2747C22semidirect
58. #2747C22semidirect
59. #2746C22semidirect
60. #2746C22semidirect
61. #2745C22semidirect
62. #2744C22semidirect
63. #2743C22semidirect
64. #2742C22semidirect
65. #2741C22semidirect
66. #2741C22semidirect
67. #2737C22semidirect
68. #2737C22semidirect
69. #2735C22semidirect
70. #2730C22semidirect
71. #2723C22semidirect
72. #2722C22semidirect
77. #2717C22semidirect
78. #2717C22semidirect
79. #2717C22semidirect
80. #2717C22semidirect
81. #2717C22semidirect
82. #2717C22semidirect
83. #2706C22semidirect
86. #2644C22semidirect
87. #2643C22semidirect
88. #2628C22semidirect
89. #2627C22semidirect
90. #2624C22semidirect
91. #2623C22semidirect
92. #2610C22semidirect
93. #2605C22semidirect
94. #2603C22semidirect
95. #2602C22semidirect
96. #2589C22semidirect
97. #2586C22semidirect
98. #2581C22semidirect
99. #2578C22semidirect
100. #2578C22semidirect
101. #2577C22semidirect
102. #2574C22semidirect
103. #2567C22semidirect
104. #2564C22semidirect
105. #2564C22semidirect
106. #2557C22semidirect
107. #2553C22semidirect
108. #2553C22semidirect
109. #2548C22semidirect
111. #2531C22semidirect
112. #2531C22semidirect
113. #2530C22semidirect
114. #2527C22semidirect
115. #2523C22semidirect
116. #2522C22semidirect
117. #2521C22semidirect
118. #2521C22semidirect
119. #2518C22semidirect
120. #2516C22semidirect
121. #2513C22semidirect
122. #2513C22semidirect
123. #2512C22semidirect
124. #2510C22semidirect
125. #2510C22semidirect
126. #2510C22semidirect
127. #2504C22semidirect
128. #2501C22semidirect
129. #2498C22semidirect
130. #2496C22semidirect
131. #2495C22semidirect
132. #2494C22semidirect
134. #2491C22semidirect
136. #2486C22semidirect
137. #2483C22semidirect
138. #2482C22semidirect
139. #2481C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2480C22semidirect
144. #2472C22semidirect
145. #2472C22semidirect
146. #2471C22semidirect
147. #2461C22semidirect
148. #2461C22semidirect
149. #2451C22semidirect
150. #2451C22semidirect
151. #2449C22semidirect
152. #2449C22semidirect
153. #2448C22semidirect
154. #2448C22semidirect
155. #2445C22semidirect
156. #2444C22semidirect
157. #2444C22semidirect
158. #2443C22semidirect
159. #2440C22semidirect
160. #2440C22semidirect
161. #2438C22semidirect
162. #2438C22semidirect
163. #2438C22semidirect
165. #2436C22semidirect
170. #2421C22semidirect
171. #2421C22semidirect
172. #2419C22semidirect
174. #2418C22semidirect
175. #2418C22semidirect
176. #2418C22semidirect
177. #2412C22semidirect
180. #2409C22semidirect
185. #2401C22semidirect
186. #2396C22semidirect
187. #2395C22semidirect
188. C2×#397C22semidirect
189. C2×#397C22semidirect
190. C2×#395C22semidirect
193. #2367C22semidirect
194. #2361C22semidirect
195. #2361C22semidirect
196. #2360C22semidirect
197. #2359C22semidirect
198. #2358C22semidirect
199. #2356C22semidirect
200. #2355C22semidirect
201. #2353C22semidirect
202. #2352C22semidirect
203. #2349C22semidirect
204. #2349C22semidirect
205. D4×C4⋊C4C22semidirect
206. D4×C4⋊C4C22semidirect
207. D4×C4⋊C4C22semidirect
208. #2345C22semidirect
209. #2344C22semidirect
210. #2343C22semidirect
211. #2343C22semidirect
212. #2342C22semidirect
213. #2341C22semidirect
214. #2341C22semidirect
215. Q8×C22⋊C4C22semidirect
216. Q8×C22⋊C4C22semidirect
220. #2339C22semidirect
221. #2339C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. #2326C22semidirect
230. #2325C22semidirect
231. #2324C22semidirect
232. #2322C22semidirect
233. #2320C22semidirect
234. #2318C22semidirect
235. #2314C22semidirect
236. #2313C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
239. #2311C22semidirect
240. #2311C22semidirect
242. C4×C22⋊Q8C22semidirect
245. C4×#120C22semidirect
246. #2298C22semidirect
247. #2295C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
250. C2×#387C22semidirect
252. C2×#385C22semidirect
253. #2280C22semidirect
254. #2280C22semidirect
255. C2×#380C22semidirect
256. C2×#380C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect
1414. D4#551semidirect

Maximal subgroups

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

subgroupindex
#599462
#593792
#591982
#591932
#591912
#591622
#521852
C2×#27172
#452922
#449602
#449202
#440232
#439782
#432242
#390452
#390372
#382492
#382452
#378542
#378522
#362122
D4×#1242
D4×#1232
#359762
#358732
#357392
#342882
#342602
#341752