Finite Group Databasebeta

← #7671732

Subgroups — #7671732

Order 512.

4712 conjugacy classes of subgroups.

The subgroup lattice has 1780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59909C212yesmaximal, complemented
2#59904C212yesmaximal, complemented
3#59902C212yesmaximal, complemented
4#59876C212yesmaximal, complemented
5#59769C212yesmaximal, complemented
6#59567C212yesmaximal, complemented
7#59449C212yesmaximal, complemented
8#59448C212yesmaximal, complemented
9#40035C212yesmaximal, complemented
10#40034C212yesmaximal, complemented
11#40023C212yesmaximal, complemented
12#40022C212yesmaximal, complemented
13#39822C212yesmaximal, complemented
14#39820C212yesmaximal, complemented
15#39731C212yesmaximal, complemented
16#39719C212yesmaximal, complemented
17#36639C211yesmaximal, characteristic
18#36609C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36609C211yesmaximal, characteristic, complemented
21#36608C211yesmaximal, characteristic, complemented
22#36598C211yesmaximal, characteristic, complemented
23#36598C211yesmaximal, characteristic, complemented
24#36598C211yesmaximal, characteristic, complemented
25#36594C211yesmaximal, characteristic, complemented
26#36515C212yesmaximal, complemented
27#36485C212yesmaximal, complemented
28#36421C212yesmaximal, complemented
29#36420C212yesmaximal, complemented
30#35658C212yesmaximal, complemented
31#35632C212yesmaximal, complemented
32#35322C211yesmaximal, characteristic, complemented
33#35298C211yesmaximal, characteristic
34#35188C212yesmaximal, complemented
35#34326C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic
37#34225C211yesmaximal, characteristic, complemented
38C4×#533C211yesmaximal, characteristic, complemented
39C4×#533C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45#2868C2211yescharacteristic
46#2868C2211yescharacteristic
47#2866C2214yes—
48#2865C2214yes—
49#2862C2211yescharacteristic
50#2862C2211yescharacteristic
51#2862C2211yescharacteristic
52#2862C2211yescharacteristic
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2861C2212yes—
56#2861C2212yes—
57#2858C2211yescharacteristic
58#2858C2211yescharacteristic
59#2858C2211yescharacteristic
60#2858C2211yescharacteristic
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2850C2212yes—
65#2796C2214yes—
66#2793C2214yes—
67#2790C2214yes—
68#2786C2214yes—
69#2782C2214yes—
70#2777C2214yes—
71#2772C2214yes—
72#2765C2214yes—
73#2757C2214yes—
74#2750C2214yes—
75#2746C2214yes—
76#2739C2214yes—
77#2729C2214yes—
78#2728C2214yes—
79#2723C2214yes—
80#2716C2214yes—
81#2654C2214yes—
82#2650C2214yes—
83#2621C2212yes—
84#2621C2212yes—
85#2620C2212yes—
86#2620C2212yes—
87#2597C2214yes—
88#2596C2214yes—
89#2595C2214yes—
90#2594C2214yes—
91#2594C2214yes—
92#2592C2212yes—
93#2592C2212yes—
94#2592C2212yes—
95#2592C2212yes—
96#2592C2212yes—
97#2592C2212yes—
98#2587C2214yes—
99#2582C2212yes—
100#2582C2212yes—
101#2582C2212yes—
102#2581C2212yes—
103#2581C2212yes—
104#2581C2212yes—
105#2580C2212yes—
106#2580C2212yes—
107#2580C2212yes—
108#2578C2214yes—
109#2578C2214yes—
110#2577C2214yes—
111#2577C2214yes—
112#2576C2214yes—
113#2575C2214yes—
114#2575C2214yes—
115#2574C2214yes—
116#2573C2214yes—
117#2571C2212yes—
118#2571C2212yes—
119#2571C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2570C2212yes—
126#2568C2212yes—
127#2568C2212yes—
128#2568C2212yes—
129#2566C2212yes—
130#2566C2212yes—
131#2565C2212yes—
132#2565C2212yes—
133#2565C2212yes—
134#2565C2212yes—
135#2560C2214yes—
136#2547C2212yes—
137#2545C2212yes—
138#2545C2212yes—
139#2545C2212yes—
140#2545C2212yes—
141#2538C2212yes—
142#2538C2212yes—
143#2532C2214yes—
144#2531C2214yes—
145#2530C2214yes—
146#2530C2214yes—
147#2529C2214yes—
148#2529C2214yes—
149#2527C2214yes—
150#2527C2214yes—
151#2525C2214yes—
152#2523C2214yes—
153#2522C2214yes—
154#2522C2214yes—
155#2519C2214yes—
156#2517C2214yes—
157#2515C2214yes—
158#2515C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2514C2212yes—
164#2514C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2511C2212yes—
176#2511C2212yes—
177#2511C2212yes—
178#2511C2212yes—
179#2511C2212yes—
180#2511C2212yes—
181#2505C2214yes—
182#2500C2212yes—
183#2500C2212yes—
184#2499C2212yes—
185#2499C2212yes—
186#2499C2212yes—
187#2499C2212yes—
188#2493C2214yes—
189#2477C2214yes—
190#2475C2214yes—
191#2448C2212yes—
192#2448C2212yes—
193#2448C2212yes—
194#2448C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2447C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2432C2212yes—
210#2432C2212yes—
211#2373C2214yes—
212#2373C2214yes—
213#2370C2212yes—
214#2370C2212yes—
215#2368C2214yes—
216#2367C2212yes—
217#2367C2212yes—
218#2367C2212yes—
219#2367C2212yes—
220#2367C2212yes—
221#2367C2212yes—
222#2367C2212yes—
223#2367C2212yes—
224#2365C2212yes—
225#2365C2212yes—
226#2365C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2357C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2357C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2356C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242#2355C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2354C2212yes—
246#2354C2212yes—
247#2351C2212yes—
248#2349C2212yes—
249#2347C2212yes—
250#2346C2212yes—
251#2343C2214yes—
252#2341C2212yes—
253#2339C2212yes—
254#2334C2214yes—
255#2332C2214yes—
256#2327C2212yes—
257#2327C2212yes—
258#2326C2212yes—
259#2326C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2320C2212yes—
265#2319C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#126C2214yes—
289C4×#124C2212yes—
290C4×#124C2212yes—
291C4×#124C2212yes—
292C4×#124C2212yes—
293C4×C22⋊Q8C2211yescharacteristic
294C4×C22⋊Q8C2212yes—
295C4×C22⋊Q8C2212yes—
296C4×C22⋊Q8C2211yescharacteristic
297C4×C22⋊Q8C2211yescharacteristic
298C4×C22⋊Q8C2211yescharacteristic
299C4×C22⋊Q8C2211yescharacteristic
300C4×C22⋊Q8C2212yes—
301C4×C22⋊Q8C2212yes—
302C4×C22⋊Q8C2211yescharacteristic
303C4×C22⋊Q8C2211yescharacteristic
304C4×C22⋊Q8C2211yescharacteristic
305#2298C2214yes—
306#2297C2212yes—
307#2297C2212yes—
308#2296C2212yes—
309#2296C2211yescharacteristic
310#2296C2211yescharacteristic
311#2295C2211yescharacteristic
312#2295C2211yescharacteristic
313#2295C2212yes—
314#2295C2211yescharacteristic
315#2295C2212yes—
316#2295C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2276C2212yes—
320#2275C2212yes—
321C42×Q8C2211yescharacteristic
322C42×Q8C2211yescharacteristic
323C42×Q8C2211yescharacteristic
324C42×Q8C2212yes—
325C42×Q8C2212yes—
326C42×Q8C2211yescharacteristic
327C4×#117C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332#556—216no—
333#533—28no—
334#533—28no—
335#533—28no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×#127C2311yescharacteristic
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424#401C2314yes—
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#387C2311yescharacteristic
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2311yescharacteristic
645#387C2311yescharacteristic
646#387C2311yescharacteristic
647#387C2311yescharacteristic
648#387C2311yescharacteristic
649#387C2311yescharacteristic
650#387C2311yescharacteristic
651#387C2311yescharacteristic
652#387C2311yescharacteristic
653#387C2311yescharacteristic
654#387C2314yes—
655#387C2314yes—
656#387C2311yescharacteristic
657#387C2314yes—
658#387C2314yes—
659#387C2311yescharacteristic
660#387C2311yescharacteristic
661#387C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2311yescharacteristic
708#385C2314yes—
709#385C2311yescharacteristic
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2311yescharacteristic
717#385C2311yescharacteristic
718#385C2314yes—
719#385C2311yescharacteristic
720#385C2314yes—
721#385C2311yescharacteristic
722#385C2311yescharacteristic
723#385C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#383C2314yes—
737#383C2314yes—
738#383C2314yes—
739#383C2314yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#382C2314yes—
751#382C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2314yes—
869C4×C22⋊C4C2314yes—
870#376C2311yescharacteristic
871#376C2311yescharacteristic
872#376C2311yescharacteristic
873#376C2311yescharacteristic
874#376C2314yes—
875#376C2314yes—
876#376C2314yes—
877C2×#95C2314yes—
878C43C2314yes—
879C43C2311yescharacteristic
880C43C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C2×#41—28no—
892C2×#41—44no—
893C2×#41—44no—
894C22×Q8C2412yes—
895C22×Q8C2412yes—
896C22×Q8C2412yes—
897C22×Q8C2412yes—
898C22×Q8C2412yes—
899C22×Q8C2411yescharacteristic
900C22×Q8C2411yescharacteristic
901C22×Q8C2411yescharacteristic
902C22×Q8C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928#127—24no—
929#126—216no—
930#126—216no—
931#125—24no—
932#125—24no—
933#125—28no—
934#125—28no—
935#124—28no—
936#124—28no—
937#124—28no—
938#124—28no—
939#124—44no—
940#124—44no—
941#124—44no—
942#124—44no—
943#124—44no—
944C22⋊Q8—24no—
945C22⋊Q8—216no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—24no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953#121—28no—
954#121—28no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—28no—
959C4×Q8—28no—
960C4×Q8—28no—
961C4×Q8—28no—
962C4×Q8—28no—
963C4×Q8—28no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—42no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—42no—
971C4×Q8—42no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8#4118yescomplemented
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989#117—28no—
990#117—28no—
991#117—216no—
992#117—24no—
993#117—24no—
994#117—42no—
995#117—42no—
996#117—44no—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—42no—
1117C2×C42—42no—
1118C2×C42—42no—
1119C2×C42—42no—
1120C2×C42#4118yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2411yescharacteristic
1201#95C2414yes—
1202#95C2411yescharacteristic
1203#95C2414yes—
1204#95C2411yescharacteristic
1205#95C2414yes—
1206#95C2414yes—
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2411yescharacteristic
1229#95C2414yes—
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2414yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2414yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2414yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272C24C2514yes—
1273C24C2511yescharacteristic
1274#41—816no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—41no—
1296C2×Q8—41no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×Q8—41no—
1301C2×Q8C2×#4114yes—
1302C2×D4—28no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2×#4114yes—
1342C22×C4C2×#4114yes—
1343C22×C4C2×#4114yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2514yes—
1349C22×C4C2514yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2514yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2514yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—28no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4C2×#4114yes—
1461C4⋊C4C2×#4114yes—
1462C4⋊C4C2×#4114yes—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—28no—
1502C42—28no—
1503C42—22no—
1504C42—22no—
1505C42—28no—
1506C42—28no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—41no—
1539C42—41no—
1540C42—41no—
1541C42—41no—
1542C42—41no—
1543C42—41no—
1544C42—41no—
1545C42—41no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—44no—
1554C42—44no—
1555C42C2×#4114yes—
1556C42C2×#4114yes—
1557C42C2×#4114yes—
1558C42C2×#4114yes—
1559C42C2×#4114yes—
1560C42C2×#4114yes—
1561C42C2×#4114yes—
1562C422−1+414yes—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—24no—
1570C23—24no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23C22×#4112yes—
1577C23C2611yescharacteristic
1578Q8—44no—
1579Q8—44no—
1580Q8—44no—
1581Q8—44no—
1582Q8—48no—
1583Q8—48no—
1584Q8—48no—
1585Q8—48no—
1586Q8—48no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—88no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—28no—
1614C2×C4—28no—
1615C2×C4—28no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—164no—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C22×#4112yes—
1704C2×C4C22×#4112yes—
1705C2×C4C2×2−1+412yes—
1706C2×C4C2×2−1+412yes—
1707C2×C4C2×2−1+412yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C2×C4#58512yes—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—44no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22C23×#4111yescharacteristic
1727C22C23×#4111yescharacteristic
1728C22C22×2−1+411yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22C2×#58511yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—44no—
1745C4—41no—
1746C4—41no—
1747C4—44no—
1748C4—44no—
1749C4—41no—
1750C4—44no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—44no—
1764C4—41no—
1765C4—44no—
1766C4—44no—
1767C4#348014yes—
1768C4#350714yes—
1769C4#351014yes—
1770C2—42no—
1771C2—84no—
1772C2C2×#348011yescharacteristic
1773C2C2×#350711yescharacteristic
1774C2#6280511yescharacteristic
1775C2C2×#351011yescharacteristic
1776C2#6281511yescharacteristic
1777C2#6283811yescharacteristic
1778C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59909C2semidirect
2. #59904C2semidirect
3. #59902C2semidirect
4. #59876C2semidirect
5. #59769C2semidirect
6. #59567C2semidirect
7. #59449C2semidirect
8. #59448C2semidirect
9. #40035C2semidirect
10. #40034C2semidirect
11. #40023C2semidirect
12. #40022C2semidirect
13. #39822C2semidirect
14. #39820C2semidirect
15. #39731C2semidirect
16. #39719C2semidirect
18. #36609C2semidirect
19. #36609C2semidirect
20. #36609C2semidirect
21. #36608C2semidirect
22. #36598C2semidirect
23. #36598C2semidirect
24. #36598C2semidirect
25. #36594C2semidirect
26. #36515C2semidirect
27. #36485C2semidirect
28. #36421C2semidirect
29. #36420C2semidirect
30. #35658C2semidirect
31. #35632C2semidirect
32. #35322C2semidirect
34. #35188C2semidirect
35. #34326C2semidirect
37. #34225C2semidirect
38. C4×#533C2semidirect
39. C4×#533C2semidirect
980. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599092
#599042
#599022
#598762
#597692
#595672
#594492
#594482
#400352
#400342
#400232
#400222
#398222
#398202
#397312
#397192
#366392
#366092
#366082
#365982
#365942
#365152
#364852
#364212
#364202
#356582
#356322
#353222
#352982
#351882
#343262
#342262
#342252
C4×#5332