Finite Group Databasebeta

← #7968956

Subgroups — #7968956

Order 512.

5273 conjugacy classes of subgroups.

The subgroup lattice has 1819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59418C211yesmaximal, characteristic, complemented
2#59399C212yesmaximal, complemented
3#59302C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59019C212yesmaximal, complemented
6#48409C214yesmaximal, complemented
7#48046C214yesmaximal, complemented
8#45616C212yesmaximal, complemented
9#45525C212yesmaximal, complemented
10#44926C212yesmaximal, complemented
11#44916C212yesmaximal, complemented
12#44258C214yesmaximal, complemented
13#42942C212yesmaximal, complemented
14#42586C212yesmaximal, complemented
15#40946C214yesmaximal, complemented
16#40144C212yesmaximal, complemented
17#39929C212yesmaximal, complemented
18#39887C212yesmaximal, complemented
19#39786C212yesmaximal, complemented
20#39567C212yesmaximal, complemented
21#39471C211yesmaximal, characteristic, complemented
22#39194C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36445C211yesmaximal, characteristic, complemented
25#36204C212yesmaximal, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36174C211yesmaximal, characteristic, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35196C211yesmaximal, characteristic, complemented
31#35032C212yesmaximal, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34414C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#537C2212yes—
41C2×#532C2211yescharacteristic, complemented
42C2×#525C2212yes—
43C2×#525C2212yes—
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2859C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2856C2212yescomplemented
53#2855C2212yescomplemented
54#2851C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2848C2212yes—
58#2826C2214yes—
59#2814C2214yes—
60#2802C2214yescomplemented
61#2801C2214yescomplemented
62#2800C2214yescomplemented
63#2798C2214yescomplemented
64#2797C2214yescomplemented
65#2795C2214yescomplemented
66#2793C2214yescomplemented
67#2790C2214yescomplemented
68#2786C2214yescomplemented
69#2783C2214yescomplemented
70#2779C2214yes—
71#2777C2214yescomplemented
72#2755C2214yescomplemented
73#2752C2214yescomplemented
74#2749C2214yescomplemented
75#2747C2214yescomplemented
76#2746C2214yescomplemented
77#2746C2214yescomplemented
78#2743C2214yescomplemented
79#2741C2214yes—
80#2718C2214yes—
81#2714C2214yes—
82#2710C2214yescomplemented
83#2708C2214yescomplemented
84#2707C2214yescomplemented
85#2706C2214yes—
86#2703C2214yescomplemented
87#2699C2214yes—
88#2699C2214yes—
89#2685C2214yes—
90#2685C2214yes—
91#2678C2214yes—
92#2678C2214yes—
93#2661C2214yes—
94#2649C2214yescomplemented
95#2648C2214yes—
96#2633C2214yescomplemented
97#2624C2212yes—
98#2620C2214yescomplemented
99#2617C2214yes—
100#2617C2214yes—
101#2615C2212yes—
102#2602C2214yes—
103#2602C2214yes—
104#2602C2214yescomplemented
105#2602C2214yescomplemented
106#2598C2214yescomplemented
107#2595C2214yescomplemented
108#2573C2214yes—
109#2571C2211yescharacteristic, complemented
110#2570C2212yescomplemented
111#2570C2212yescomplemented
112#2566C2214yescomplemented
113#2565C2212yescomplemented
114#2562C2212yes—
115#2561C2214yes—
116#2558C2214yescomplemented
117#2558C2214yescomplemented
118#2554C2214yescomplemented
119#2547C2211yescharacteristic, complemented
120#2542C2211yescharacteristic
121#2542C2212yescomplemented
122#2540C2212yescomplemented
123#2538C2211yescharacteristic
124#2538C2211yescharacteristic
125#2538C2212yescomplemented
126#2538C2211yescharacteristic, complemented
127#2538C2211yescharacteristic, complemented
128#2538C2212yescomplemented
129#2537C2211yescharacteristic
130#2537C2211yescharacteristic
131#2537C2212yes—
132#2537C2211yescharacteristic
133#2536C2212yes—
134#2536C2212yes—
135#2536C2212yes—
136#2535C2212yes—
137#2534C2214yes—
138#2527C2214yes—
139#2526C2214yescomplemented
140#2526C2214yescomplemented
141#2526C2214yescomplemented
142#2525C2214yescomplemented
143#2523C2214yescomplemented
144#2518C2214yescomplemented
145#2516C2214yescomplemented
146#2513C2212yescomplemented
147#2512C2212yes—
148#2506C2212yescomplemented
149#2506C2212yescomplemented
150#2504C2212yes—
151#2503C2212yescomplemented
152#2500C2212yes—
153#2500C2212yescomplemented
154#2499C2212yes—
155#2499C2212yescomplemented
156#2497C2212yescomplemented
157#2496C2212yes—
158#2496C2212yes—
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2494C2212yescomplemented
164#2493C2214yescomplemented
165#2492C2212yescomplemented
166#2490C2212yes—
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2489C2212yescomplemented
170#2487C2212yescomplemented
171#2486C2212yes—
172#2486C2212yes—
173#2486C2212yes—
174#2485C2212yes—
175#2481C2214yescomplemented
176#2480C2214yes—
177#2476C2212yescomplemented
178#2475C2214yescomplemented
179#2474C2212yescomplemented
180#2471C2214yescomplemented
181#2466C2214yes—
182#2460C2214yes—
183#2460C2214yescomplemented
184#2459C2212yes—
185#2457C2214yes—
186#2456C2212yes—
187#2455C2214yes—
188#2454C2212yes—
189#2454C2214yescomplemented
190#2451C2211yescharacteristic, complemented
191#2446C2212yescomplemented
192#2445C2211yescharacteristic, complemented
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2214yescomplemented
197#2439C2211yescharacteristic
198#2432C2212yes—
199#2432C2212yescomplemented
200#2431C2211yescharacteristic
201#2431C2212yescomplemented
202#2429C2212yescomplemented
203#2426C2212yes—
204#2426C2212yes—
205#2426C2211yescharacteristic, complemented
206#2426C2212yescomplemented
207#2422C2212yes—
208#2421C2212yescomplemented
209#2421C2212yescomplemented
210#2420C2212yes—
211#2420C2212yes—
212#2420C2211yescharacteristic, complemented
213#2418C2214yes—
214#2417C2212yescomplemented
215#2416C2214yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2415C2212yes—
219#2414C2212yes—
220#2414C2211yescharacteristic
221#2408C2212yes—
222#2408C2212yes—
223#2407C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yescomplemented
226#2392C2212yes—
227#2392C2214yes—
228#2388C2212yes—
229#2378C2214yescomplemented
230#2377C2214yescomplemented
231#2373C2214yescomplemented
232#2368C2214yescomplemented
233#2367C2211yescharacteristic
234#2367C2212yescomplemented
235#2364C2212yes—
236#2363C2212yes—
237#2363C2211yescharacteristic
238#2363C2214yescomplemented
239#2362C2212yes—
240#2362C2212yescomplemented
241#2361C2212yes—
242#2360C2211yescharacteristic
243#2360C2212yescomplemented
244#2359C2212yes—
245#2358C2212yes—
246#2355C2211yescharacteristic, complemented
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic, complemented
249#2352C2211yescharacteristic
250#2352C2212yescomplemented
251Q8×C4⋊C4C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2349C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255#2347C2212yes—
256#2346C2212yescomplemented
257#2345C2212yescomplemented
258#2344C2212yescomplemented
259#2344C2212yescomplemented
260#2342C2212yes—
261#2341C2212yes—
262#2341C2212yescomplemented
263#2339C2211yescharacteristic
264D4×C22⋊C4C2211yescharacteristic
265#2333C2214yescomplemented
266#2333C2214yescomplemented
267#2325C2214yescomplemented
268#2325C2214yescomplemented
269#2324C2212yes—
270#2324C2214yescomplemented
271#2323C2212yescomplemented
272#2314C2212yescomplemented
273#2311C2212yescomplemented
274#2311C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yes—
283C4×#123C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#120C2212yes—
290#2297C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2285C2211yescharacteristic
293C2×#384C2211yescharacteristic, complemented
294#2283C2212yescomplemented
295#2280C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#557—44no—
306#552—48no—
307#547—44no—
308#546—28no—
309#537—216no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325#525—48no—
326#525—48no—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C4×#41—44no—
366C4×#41—44no—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4—44no—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423C22×C42C2312yes—
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2312yes—
507#393C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
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#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2314yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#383C2314yes—
718#383C2314yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#379C2314yes—
765#379C2314yes—
766#379C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—42no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41#4118yescomplemented
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×D4—24no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C23×C4—28no—
860C23×C4—44no—
861C23×C4—44no—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C4⋊Q8—24no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886#127—42no—
887#126—48no—
888#126—48no—
889#125—48no—
890#125—44no—
891#125—44no—
892#125—48no—
893#124—24no—
894#124—44no—
895#124—42no—
896#124—44no—
897#123—28no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—44no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—24no—
906C22⋊Q8—216no—
907C22⋊Q8—28no—
908C22⋊Q8—44no—
909C22⋊Q8—42no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915#121—28no—
916#121—28no—
917#121—216no—
918#121—216no—
919#121—28no—
920#121—216no—
921#121—24no—
922#121—24no—
923#121—44no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—42no—
930#121—42no—
931#121—44no—
932#120—28no—
933#120—48no—
934#120—48no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—44no—
938C4×Q8—42no—
939C4×Q8—42no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
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—48no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969#117—28no—
970#117—44no—
971#117—44no—
972#117—44no—
973#117—48no—
974#117—44no—
975#117—42no—
976#117—42no—
977#117—44no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C22⋊C4—28no—
1043C2×C22⋊C4—44no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42—44no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42C2414yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—24no—
1211C24—24no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223#41—416no—
1224#41—416no—
1225#41—816no—
1226#41—816no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—24no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8C2×#4114yes—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—41no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—416no—
1292C2×D4C2×#4114yes—
1293C2×D4C2×#4118yes—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—41no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—816no—
1355C22×C4C2×#4114yes—
1356C22×C4C2×#4118yes—
1357C22×C4H(5,𝔽2)14yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2514yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—28no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—22no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—24no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—41no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—28no—
1526C42—22no—
1527C42—22no—
1528C42—24no—
1529C42—22no—
1530C42—24no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—41no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—41no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42H(5,𝔽2)14yes—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—21no—
1556C23—21no—
1557C23—22no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—48no—
1586C23—48no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23C22×#4114yes—
1593C23C22×#4112yes—
1594C23C2×H(5,𝔽2)12yes—
1595C23C2611yescharacteristic
1596Q8—28no—
1597Q8—44no—
1598Q8—48no—
1599Q8—84no—
1600D4—28no—
1601D4—48no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—84no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—28no—
1629C2×C4—28no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—48no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—84no—
1706C2×C4—82no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—88no—
1715C2×C4C22×#4114yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4#58512yes—
1724C2×C4#58512yes—
1725C2×C4#58512yes—
1726C22—24no—
1727C22—22no—
1728C22—22no—
1729C22—24no—
1730C22—22no—
1731C22—22no—
1732C22—24no—
1733C22—22no—
1734C22—22no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—816no—
1769C22C23×#4111yescharacteristic
1770C22C22×H(5,𝔽2)11yescharacteristic
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C2×#58511yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22C2×#58511yescharacteristic
1775C222−1+611yescharacteristic
1776C4—22no—
1777C4—24no—
1778C4—22no—
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—44no—
1790C4—44no—
1791C4—41no—
1792C4—41no—
1793C4—42no—
1794C4—44no—
1795C4—42no—
1796C4—42no—
1797C4—41no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—44no—
1803C4#350514yes—
1804C4#354214yes—
1805C2—42no—
1806C2—44no—
1807C2—42no—
1808C2—82no—
1809C2—82no—
1810C2—82no—
1811C2C2×#354211yescharacteristic
1812C2C2×#350511yescharacteristic
1813C2#6280011yescharacteristic
1814C2#6292511yescharacteristic
1815C2#6292711yescharacteristic
1816C2#6299511yescharacteristic
1817C2#6303111yescharacteristic
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. #59418C2semidirect
2. #59399C2semidirect
3. #59302C2semidirect
4. #59211C2semidirect
5. #59019C2semidirect
6. #48409C2semidirect
7. #48046C2semidirect
8. #45616C2semidirect
9. #45525C2semidirect
10. #44926C2semidirect
11. #44916C2semidirect
12. #44258C2semidirect
13. #42942C2semidirect
14. #42586C2semidirect
15. #40946C2semidirect
16. #40144C2semidirect
17. #39929C2semidirect
18. #39887C2semidirect
19. #39786C2semidirect
20. #39567C2semidirect
21. #39471C2semidirect
22. #39194C2semidirect
23. #36505C2semidirect
24. #36445C2semidirect
25. #36204C2semidirect
26. #36181C2semidirect
27. #36174C2semidirect
28. #36100C2semidirect
29. #35273C2semidirect
30. #35196C2semidirect
31. #35032C2semidirect
32. #34935C2semidirect
33. #34715C2semidirect
34. #34414C2semidirect
35. C4×#546C2semidirect
36. C2×#557C22semidirect
41. C2×#532C22semidirect
47. #2859C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2851C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
60. #2802C22semidirect
61. #2801C22semidirect
62. #2800C22semidirect
63. #2798C22semidirect
64. #2797C22semidirect
65. #2795C22semidirect
66. #2793C22semidirect
67. #2790C22semidirect
68. #2786C22semidirect
69. #2783C22semidirect
71. #2777C22semidirect
72. #2755C22semidirect
73. #2752C22semidirect
74. #2749C22semidirect
75. #2747C22semidirect
76. #2746C22semidirect
77. #2746C22semidirect
78. #2743C22semidirect
82. #2710C22semidirect
83. #2708C22semidirect
84. #2707C22semidirect
86. #2703C22semidirect
94. #2649C22semidirect
96. #2633C22semidirect
98. #2620C22semidirect
104. #2602C22semidirect
105. #2602C22semidirect
106. #2598C22semidirect
107. #2595C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2566C22semidirect
113. #2565C22semidirect
116. #2558C22semidirect
117. #2558C22semidirect
118. #2554C22semidirect
119. #2547C22semidirect
121. #2542C22semidirect
122. #2540C22semidirect
125. #2538C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
139. #2526C22semidirect
140. #2526C22semidirect
141. #2526C22semidirect
142. #2525C22semidirect
143. #2523C22semidirect
144. #2518C22semidirect
145. #2516C22semidirect
146. #2513C22semidirect
148. #2506C22semidirect
149. #2506C22semidirect
151. #2503C22semidirect
153. #2500C22semidirect
155. #2499C22semidirect
156. #2497C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
163. #2494C22semidirect
164. #2493C22semidirect
165. #2492C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2489C22semidirect
170. #2487C22semidirect
175. #2481C22semidirect
177. #2476C22semidirect
178. #2475C22semidirect
179. #2474C22semidirect
180. #2471C22semidirect
183. #2460C22semidirect
189. #2454C22semidirect
190. #2451C22semidirect
191. #2446C22semidirect
192. #2445C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
199. #2432C22semidirect
201. #2431C22semidirect
202. #2429C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
208. #2421C22semidirect
209. #2421C22semidirect
212. #2420C22semidirect
214. #2417C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
225. #2407C22semidirect
229. #2378C22semidirect
230. #2377C22semidirect
231. #2373C22semidirect
232. #2368C22semidirect
234. #2367C22semidirect
238. #2363C22semidirect
240. #2362C22semidirect
243. #2360C22semidirect
246. #2355C22semidirect
248. #2354C22semidirect
250. #2352C22semidirect
251. Q8×C4⋊C4C22semidirect
252. Q8×C4⋊C4C22semidirect
256. #2346C22semidirect
257. #2345C22semidirect
258. #2344C22semidirect
259. #2344C22semidirect
262. #2341C22semidirect
265. #2333C22semidirect
266. #2333C22semidirect
267. #2325C22semidirect
268. #2325C22semidirect
270. #2324C22semidirect
271. #2323C22semidirect
272. #2314C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
290. #2297C22semidirect
291. #2293C22semidirect
293. C2×#384C22semidirect
294. #2283C22semidirect
833. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#594182
#593992
#593022
#592112
#590192
#484092
#480462
#456162
#455252
#449262
#449162
#442582
#429422
#425862
#409462
#401442
#399292
#398872
#397862
#395672
#394712
#391942
#365052
#364452
#362042
#361812
#361742
#361002
#352732
#351962
#350322
#349352
#347152
#344142
C4×#5462