Finite Group Databasebeta

← #7709683

Subgroups — #7709683

Order 512.

5340 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59701C212yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59488C212yesmaximal, complemented
5#59444C211yesmaximal, characteristic, complemented
6#59412C211yesmaximal, characteristic, complemented
7#45643C214yesmaximal, complemented
8#45642C212yesmaximal, complemented
9#45616C212yesmaximal, complemented
10#40157C214yesmaximal, complemented
11#39937C212yesmaximal, complemented
12#39888C212yesmaximal, complemented
13#39883C212yesmaximal, complemented
14#39881C212yesmaximal, complemented
15#39281C212yesmaximal, complemented
16#39194C211yesmaximal, characteristic, complemented
17#39174C211yesmaximal, characteristic, complemented
18#39066C212yesmaximal, complemented
19#38977C211yesmaximal, characteristic, complemented
20#38957C211yesmaximal, characteristic, complemented
21#38741C214yesmaximal, complemented
22#37498C212yesmaximal, complemented
23#36990C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36539C212yesmaximal, complemented
27#36504C211yesmaximal, characteristic, complemented
28#36445C211yesmaximal, characteristic, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36386C212yesmaximal, complemented
31#36258C211yesmaximal, characteristic, complemented
32#35036C212yesmaximal, complemented
33#35025C212yesmaximal, complemented
34#34478C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic
38C2×#552C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×D42C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2212yescomplemented
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic, complemented
47#2866C2212yescomplemented
48#2865C2212yescomplemented
49#2864C2211yescharacteristic, complemented
50#2863C2211yescharacteristic, complemented
51#2861C2211yescharacteristic
52#2861C2212yescomplemented
53#2860C2211yescharacteristic
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2859C2211yescharacteristic, complemented
57#2858C2211yescharacteristic
58#2857C2211yescharacteristic, complemented
59#2857C2212yescomplemented
60#2856C2211yescharacteristic
61#2855C2211yescharacteristic, complemented
62#2854C2211yescharacteristic
63#2854C2212yes—
64#2854C2212yescomplemented
65#2854C2212yescomplemented
66#2854C2212yescomplemented
67#2853C2212yescomplemented
68#2852C2212yescomplemented
69#2851C2211yescharacteristic, complemented
70#2850C2211yescharacteristic
71#2850C2212yes—
72#2850C2212yescomplemented
73#2826C2214yescomplemented
74#2825C2214yescomplemented
75#2803C2214yescomplemented
76#2801C2214yescomplemented
77#2801C2214yescomplemented
78#2800C2214yescomplemented
79#2800C2214yescomplemented
80#2795C2214yescomplemented
81#2790C2214yescomplemented
82#2765C2214yescomplemented
83#2752C2214yescomplemented
84#2746C2214yescomplemented
85#2746C2214yescomplemented
86#2739C2214yescomplemented
87#2735C2214yescomplemented
88#2725C2214yescomplemented
89#2725C2214yescomplemented
90#2718C2214yescomplemented
91#2711C2214yescomplemented
92#2711C2214yescomplemented
93#2707C2214yescomplemented
94#2706C2214yescomplemented
95#2705C2214yescomplemented
96#2705C2214yescomplemented
97#2699C2214yescomplemented
98#2694C2214yescomplemented
99#2685C2214yes—
100#2685C2214yes—
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2682C2214yescomplemented
104#2678C2214yes—
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2651C2214yescomplemented
108#2649C2214yescomplemented
109#2648C2214yescomplemented
110#2645C2212yescomplemented
111#2641C2212yescomplemented
112#2636C2214yescomplemented
113#2635C2214yescomplemented
114#2630C2214yescomplemented
115#2624C2212yescomplemented
116#2620C2212yes—
117#2609C2214yescomplemented
118#2602C2214yescomplemented
119#2602C2214yescomplemented
120#2601C2214yescomplemented
121#2594C2214yescomplemented
122#2594C2214yescomplemented
123#2593C2214yescomplemented
124#2587C2214yescomplemented
125#2582C2211yescharacteristic, complemented
126#2578C2214yescomplemented
127#2576C2214yescomplemented
128#2576C2214yescomplemented
129#2566C2212yescomplemented
130#2566C2212yescomplemented
131#2559C2214yescomplemented
132#2559C2214yescomplemented
133#2558C2214yescomplemented
134#2558C2214yescomplemented
135#2554C2214yescomplemented
136#2552C2212yescomplemented
137#2548C2211yescharacteristic
138#2548C2211yescharacteristic
139#2548C2212yescomplemented
140#2545C2212yes—
141#2545C2212yescomplemented
142#2542C2211yescharacteristic
143#2542C2211yescharacteristic, complemented
144#2542C2212yescomplemented
145#2540C2212yes—
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2212yescomplemented
149#2537C2211yescharacteristic
150#2536C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yes—
153#2534C2214yescomplemented
154#2534C2214yescomplemented
155#2519C2214yescomplemented
156#2518C2214yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2508C2212yescomplemented
162#2503C2212yescomplemented
163#2500C2212yes—
164#2500C2212yes—
165#2500C2214yescomplemented
166#2494C2212yescomplemented
167#2494C2212yescomplemented
168#2494C2212yescomplemented
169#2490C2212yes—
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2482C2214yescomplemented
173#2480C2214yescomplemented
174#2479C2214yescomplemented
175#2479C2214yescomplemented
176#2476C2214yescomplemented
177#2467C2214yescomplemented
178#2467C2214yescomplemented
179#2466C2214yescomplemented
180#2464C2214yescomplemented
181#2454C2212yes—
182#2454C2214yescomplemented
183#2448C2212yes—
184#2447C2212yes—
185#2447C2212yescomplemented
186#2446C2212yescomplemented
187#2445C2212yes—
188#2445C2212yescomplemented
189#2442C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2212yescomplemented
193#2441C2214yescomplemented
194#2435C2212yes—
195#2435C2212yes—
196#2435C2212yes—
197#2433C2212yes—
198#2432C2212yescomplemented
199#2432C2212yescomplemented
200#2431C2212yescomplemented
201#2429C2212yescomplemented
202#2428C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2424C2214yes—
210#2424C2214yes—
211#2423C2212yescomplemented
212#2422C2212yes—
213#2418C2214yescomplemented
214#2417C2212yescomplemented
215#2416C2212yes—
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2212yescomplemented
219#2411C2214yes—
220#2408C2212yes—
221#2408C2212yes—
222#2407C2212yes—
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2377C2214yescomplemented
226#2375C2214yescomplemented
227#2374C2214yescomplemented
228#2374C2214yescomplemented
229#2367C2212yescomplemented
230#2367C2212yescomplemented
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2362C2212yescomplemented
234#2357C2212yescomplemented
235#2355C2211yescharacteristic, complemented
236#2354C2212yes—
237#2354C2212yescomplemented
238#2354C2211yescharacteristic, complemented
239#2351C2212yescomplemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241Q8×C4⋊C4C2212yescomplemented
242D4×C4⋊C4C2211yescharacteristic
243#2342C2214yescomplemented
244#2342C2214yescomplemented
245#2341C2212yes—
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248#2335C2214yescomplemented
249#2334C2214yescomplemented
250#2326C2212yescomplemented
251#2324C2214yescomplemented
252#2323C2212yescomplemented
253#2321C2214yescomplemented
254#2321C2214yescomplemented
255#2319C2212yes—
256#2312C2214yescomplemented
257#2309C2212yes—
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×#127C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic, complemented
265C4×#126C2212yescomplemented
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic, complemented
270C4×#124C2212yescomplemented
271C4×#124C2211yescharacteristic, complemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283#2298C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2212yescomplemented
286#2297C2211yescharacteristic, complemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292#2293C2212yescomplemented
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304#557—44no—
305#556—44no—
306#552—48no—
307#550—44no—
308#546—216no—
309#546—48no—
310D42—44no—
311#532—28no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425C22×C42C2311yescharacteristic
426#401C2314yes—
427#401C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
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#388C2312yes—
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#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2314yes—
732#383C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—24no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41#4118yescomplemented
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4—28no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—44no—
878#127—24no—
879#127—24no—
880#127—44no—
881#126—44no—
882#126—48no—
883#126—48no—
884#126—48no—
885#126—48no—
886#125—24no—
887#125—44no—
888#125—44no—
889#125—48no—
890#125—48no—
891#124—24no—
892#124—28no—
893#124—24no—
894#124—24no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—44no—
899#123—216no—
900#123—48no—
901#123—48no—
902#123—44no—
903#123—48no—
904#123—48no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—28no—
915#121—28no—
916#121—216no—
917#121—28no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#120—216no—
929#120—48no—
930#120—48no—
931#120—48no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—44no—
964#117—44no—
965#117—48no—
966#117—44no—
967#117—44no—
968#117—48no—
969#117—42no—
970#117—42no—
971#117—44no—
972#117—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C22⋊C4—216no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—48no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42—44no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—42no—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—28no—
1211C24—44no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24C2512yes—
1218C24C2514yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—416no—
1223#41—416no—
1224#41—816no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8C2×#4114yes—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—816no—
1287C2×D4—816no—
1288C2×D4C2×#4114yes—
1289C2×D4C2×#4118yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4C2×#4114yes—
1340C22×C4C2×#4118yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—28no—
1512C42—24no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42—41no—
1529C42—41no—
1530C42—42no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42H(5,𝔽2)14yes—
1540C42H(5,𝔽2)14yes—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—24no—
1562C23—22no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—88no—
1579C23—164no—
1580C23—164no—
1581C23C22×#4114yes—
1582C23C22×#4112yes—
1583C23C2611yescharacteristic
1584Q8—28no—
1585Q8—44no—
1586Q8—48no—
1587Q8—44no—
1588D4—28no—
1589D4—48no—
1590D4—48no—
1591D4—48no—
1592D4—48no—
1593D4—48no—
1594D4—44no—
1595D4—44no—
1596D4—48no—
1597D4—84no—
1598D4—88no—
1599D4—84no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—164no—
1604D4—164no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—28no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
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—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—48no—
1689C2×C4—44no—
1690C2×C4—48no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4114yes—
1701C2×C4C22×#4112yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C2×C4#58512yes—
1712C22—22no—
1713C22—24no—
1714C22—22no—
1715C22—24no—
1716C22—22no—
1717C22—24no—
1718C22—41no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—44no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—1616no—
1748C22C23×#4111yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22C2×#58511yescharacteristic
1755C4—22no—
1756C4—24no—
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—44no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—41no—
1782C4—44no—
1783C4#350514yes—
1784C4#354614yes—
1785C2—42no—
1786C2—44no—
1787C2—82no—
1788C2—84no—
1789C2—82no—
1790C2C2×#354611yescharacteristic
1791C2#6276211yescharacteristic
1792C2C2×#350511yescharacteristic
1793C2#6280011yescharacteristic
1794C2#6281611yescharacteristic
1795C2#6283011yescharacteristic
1796C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59701C2semidirect
2. #59679C2semidirect
3. #59653C2semidirect
4. #59488C2semidirect
5. #59444C2semidirect
6. #59412C2semidirect
7. #45643C2semidirect
8. #45642C2semidirect
9. #45616C2semidirect
10. #40157C2semidirect
11. #39937C2semidirect
12. #39888C2semidirect
13. #39883C2semidirect
14. #39881C2semidirect
15. #39281C2semidirect
16. #39194C2semidirect
17. #39174C2semidirect
18. #39066C2semidirect
19. #38977C2semidirect
20. #38957C2semidirect
21. #38741C2semidirect
22. #37498C2semidirect
23. #36990C2semidirect
24. #36638C2semidirect
25. #36631C2semidirect
26. #36539C2semidirect
27. #36504C2semidirect
28. #36445C2semidirect
29. #36410C2semidirect
30. #36386C2semidirect
31. #36258C2semidirect
32. #35036C2semidirect
33. #35025C2semidirect
34. #34478C2semidirect
35. C4×#532C2semidirect
36. C2×#557C22semidirect
38. C2×#552C22semidirect
44. C2×#529C22semidirect
46. C2×C4×#41C22semidirect
47. #2866C22semidirect
48. #2865C22semidirect
49. #2864C22semidirect
50. #2863C22semidirect
52. #2861C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2859C22semidirect
58. #2857C22semidirect
59. #2857C22semidirect
61. #2855C22semidirect
64. #2854C22semidirect
65. #2854C22semidirect
66. #2854C22semidirect
67. #2853C22semidirect
68. #2852C22semidirect
69. #2851C22semidirect
72. #2850C22semidirect
73. #2826C22semidirect
74. #2825C22semidirect
75. #2803C22semidirect
76. #2801C22semidirect
77. #2801C22semidirect
78. #2800C22semidirect
79. #2800C22semidirect
80. #2795C22semidirect
81. #2790C22semidirect
82. #2765C22semidirect
83. #2752C22semidirect
84. #2746C22semidirect
85. #2746C22semidirect
86. #2739C22semidirect
87. #2735C22semidirect
88. #2725C22semidirect
89. #2725C22semidirect
90. #2718C22semidirect
91. #2711C22semidirect
92. #2711C22semidirect
93. #2707C22semidirect
94. #2706C22semidirect
95. #2705C22semidirect
96. #2705C22semidirect
97. #2699C22semidirect
98. #2694C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2682C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2651C22semidirect
108. #2649C22semidirect
109. #2648C22semidirect
110. #2645C22semidirect
111. #2641C22semidirect
112. #2636C22semidirect
113. #2635C22semidirect
114. #2630C22semidirect
115. #2624C22semidirect
117. #2609C22semidirect
118. #2602C22semidirect
119. #2602C22semidirect
120. #2601C22semidirect
121. #2594C22semidirect
122. #2594C22semidirect
123. #2593C22semidirect
124. #2587C22semidirect
125. #2582C22semidirect
126. #2578C22semidirect
127. #2576C22semidirect
128. #2576C22semidirect
129. #2566C22semidirect
130. #2566C22semidirect
131. #2559C22semidirect
132. #2559C22semidirect
133. #2558C22semidirect
134. #2558C22semidirect
135. #2554C22semidirect
136. #2552C22semidirect
139. #2548C22semidirect
141. #2545C22semidirect
143. #2542C22semidirect
144. #2542C22semidirect
148. #2538C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
153. #2534C22semidirect
154. #2534C22semidirect
155. #2519C22semidirect
156. #2518C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2508C22semidirect
162. #2503C22semidirect
165. #2500C22semidirect
166. #2494C22semidirect
167. #2494C22semidirect
168. #2494C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
172. #2482C22semidirect
173. #2480C22semidirect
174. #2479C22semidirect
175. #2479C22semidirect
176. #2476C22semidirect
177. #2467C22semidirect
178. #2467C22semidirect
179. #2466C22semidirect
180. #2464C22semidirect
182. #2454C22semidirect
185. #2447C22semidirect
186. #2446C22semidirect
188. #2445C22semidirect
189. #2442C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
198. #2432C22semidirect
199. #2432C22semidirect
200. #2431C22semidirect
201. #2429C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
211. #2423C22semidirect
213. #2418C22semidirect
214. #2417C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2377C22semidirect
226. #2375C22semidirect
227. #2374C22semidirect
228. #2374C22semidirect
229. #2367C22semidirect
230. #2367C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
234. #2357C22semidirect
235. #2355C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2351C22semidirect
240. Q8×C4⋊C4C22semidirect
241. Q8×C4⋊C4C22semidirect
243. #2342C22semidirect
244. #2342C22semidirect
248. #2335C22semidirect
249. #2334C22semidirect
250. #2326C22semidirect
251. #2324C22semidirect
252. #2323C22semidirect
253. #2321C22semidirect
254. #2321C22semidirect
256. #2312C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
264. C4×#125C22semidirect
265. C4×#126C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. #2298C22semidirect
285. #2297C22semidirect
286. #2297C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C43C22semidirect
830. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#597012
#596792
#596532
#594882
#594442
#594122
#456432
#456422
#456162
#401572
#399372
#398882
#398832
#398812
#392812
#391942
#391742
#390662
#389772
#389572
#387412
#374982
#369902
#366382
#366312
#365392
#365042
#364452
#364102
#363862
#362582
#350362
#350252
#344782
C4×#5322