Finite Group Databasebeta

← #7879709

Subgroups — #7879709

Order 512.

4821 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59806C212yesmaximal, complemented
2#59667C211yesmaximal, characteristic, complemented
3#59465C212yesmaximal, complemented
4#59080C211yesmaximal, characteristic, complemented
5#59036C211yesmaximal, characteristic, complemented
6#51166C214yesmaximal, complemented
7#49192C214yesmaximal, complemented
8#46876C214yesmaximal, complemented
9#45313C212yesmaximal, complemented
10#45172C212yesmaximal, complemented
11#45045C212yesmaximal, complemented
12#44992C212yesmaximal, complemented
13#43652C214yesmaximal, complemented
14#42869C212yesmaximal, complemented
15#42731C212yesmaximal, complemented
16#40118C212yesmaximal, complemented
17#39608C211yesmaximal, characteristic, complemented
18#39297C212yesmaximal, complemented
19#39217C212yesmaximal, complemented
20#39157C211yesmaximal, characteristic, complemented
21#38985C211yesmaximal, characteristic, complemented
22#38941C211yesmaximal, characteristic, complemented
23#38055C212yesmaximal, complemented
24#36472C211yesmaximal, characteristic, complemented
25#36463C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#35897C212yesmaximal, complemented
28#35854C212yesmaximal, complemented
29#35587C212yesmaximal, complemented
30#35559C212yesmaximal, complemented
31#34943C211yesmaximal, characteristic, complemented
32#34793C211yesmaximal, characteristic, complemented
33#34393C211yesmaximal, characteristic, complemented
34#34334C211yesmaximal, characteristic, complemented
35#34231C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#553C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42#2860C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2854C2212yes—
47#2832C2214yes—
48#2808C2214yes—
49#2784C2214yes—
50#2784C2214yes—
51#2781C2214yes—
52#2778C2214yes—
53#2764C2214yes—
54#2763C2214yes—
55#2763C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2754C2214yes—
59#2751C2214yes—
60#2749C2214yes—
61#2745C2214yes—
62#2740C2214yes—
63#2739C2214yes—
64#2737C2214yes—
65#2725C2214yes—
66#2723C2214yes—
67#2715C2214yes—
68#2714C2214yes—
69#2713C2214yes—
70#2711C2214yes—
71#2710C2214yes—
72#2707C2214yes—
73#2700C2214yes—
74#2692C2214yes—
75#2692C2214yes—
76#2689C2214yes—
77#2689C2214yes—
78#2686C2214yes—
79#2676C2214yes—
80#2674C2214yes—
81#2662C2214yes—
82#2650C2214yes—
83#2648C2214yes—
84#2645C2212yes—
85#2644C2212yes—
86#2640C2212yes—
87#2640C2214yes—
88#2628C2212yes—
89#2603C2214yes—
90#2595C2214yes—
91#2592C2212yes—
92#2592C2214yes—
93#2581C2212yes—
94#2577C2214yes—
95#2576C2214yes—
96#2573C2214yes—
97#2572C2212yes—
98#2572C2212yes—
99#2571C2211yescharacteristic
100#2571C2212yes—
101#2567C2211yescharacteristic
102#2564C2214yes—
103#2564C2214yes—
104#2563C2214yes—
105#2563C2212yes—
106#2563C2212yes—
107#2563C2211yescharacteristic
108#2563C2211yescharacteristic
109#2563C2211yescharacteristic
110#2557C2214yes—
111#2557C2214yes—
112#2554C2214yes—
113#2552C2211yescharacteristic
114#2551C2211yescharacteristic
115#2551C2212yes—
116#2550C2212yes—
117#2548C2211yescharacteristic
118#2543C2214yes—
119#2541C2211yescharacteristic
120#2540C2212yes—
121#2538C2212yes—
122#2538C2212yes—
123#2537C2211yescharacteristic
124#2530C2212yes—
125#2529C2214yes—
126#2528C2212yes—
127#2526C2214yes—
128#2521C2214yes—
129#2519C2214yes—
130#2517C2212yes—
131#2516C2214yes—
132#2513C2212yes—
133#2513C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2511C2211yescharacteristic
137#2510C2214yes—
138#2509C2212yes—
139#2508C2212yes—
140#2506C2211yescharacteristic
141#2506C2212yes—
142#2506C2212yes—
143#2499C2211yescharacteristic
144#2497C2212yes—
145#2496C2212yes—
146#2496C2212yes—
147#2495C2211yescharacteristic
148#2495C2211yescharacteristic
149#2495C2212yes—
150#2494C2212yes—
151#2494C2211yescharacteristic
152#2493C2214yes—
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2214yes—
159#2490C2214yes—
160#2490C2212yes—
161#2489C2211yescharacteristic
162#2489C2214yes—
163#2489C2214yes—
164#2489C2212yes—
165#2488C2214yes—
166#2488C2214yes—
167#2487C2212yes—
168#2485C2211yescharacteristic
169#2469C2214yes—
170#2468C2214yes—
171#2467C2214yes—
172#2465C2214yes—
173#2464C2214yes—
174#2463C2214yes—
175#2462C2214yes—
176#2460C2214yes—
177#2460C2212yes—
178#2459C2214yes—
179#2454C2214yes—
180#2454C2212yes—
181#2454C2212yes—
182#2453C2212yes—
183#2452C2214yes—
184#2452C2212yes—
185#2452C2212yes—
186#2452C2212yes—
187#2451C2212yes—
188#2448C2212yes—
189#2447C2212yes—
190#2445C2212yes—
191#2444C2214yes—
192#2444C2214yes—
193#2441C2211yescharacteristic
194#2440C2212yes—
195#2439C2212yes—
196#2436C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2214yes—
204#2426C2212yes—
205#2423C2212yes—
206#2422C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2420C2212yes—
210#2420C2212yes—
211#2420C2211yescharacteristic
212#2419C2214yes—
213#2415C2211yescharacteristic
214#2414C2212yes—
215#2414C2212yes—
216#2409C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2401C2212yes—
220#2398C2212yes—
221#2398C2214yes—
222#2398C2212yes—
223#2395C2212yes—
224#2377C2214yes—
225#2369C2212yes—
226#2369C2211yescharacteristic
227#2369C2211yescharacteristic
228#2368C2214yes—
229#2367C2212yes—
230#2366C2211yescharacteristic
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2366C2212yes—
234#2365C2212yes—
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2363C2212yes—
239#2363C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2361C2212yes—
243#2360C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2356C2214yes—
247#2355C2211yescharacteristic
248#2349C2212yes—
249#2349C2212yes—
250#2349C2214yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2346C2212yes—
254#2341C2212yes—
255#2341C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2334C2214yes—
260#2332C2214yes—
261#2331C2212yes—
262#2330C2212yes—
263#2329C2214yes—
264#2326C2212yes—
265#2326C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2319C2212yes—
272#2318C2214yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2295C2211yescharacteristic
289C2×#391C2212yes—
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2276C2212yes—
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#557—48no—
302#553—48no—
303D4×Q8—28no—
304#548—48no—
305#533—28no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2312yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
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#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#383C2312yes—
693#383C2312yes—
694#383C2312yes—
695#383C2312yes—
696#383C2314yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—48no—
859C4⋊Q8#4118yes—
860#127—28no—
861#127—24no—
862#126—48no—
863#126—48no—
864#126—84no—
865#125—28no—
866#125—28no—
867#125—24no—
868#125—44no—
869#125—48no—
870#125—48no—
871#124—28no—
872#124—44no—
873#124—48no—
874#124—44no—
875#124—82no—
876#124—84no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—24no—
884C22⋊Q8—48no—
885C22⋊Q8—42no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—82no—
889#121—24no—
890#121—24no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—48no—
895#121—48no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—82no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—48no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—84no—
930#117—28no—
931#117—24no—
932#117—44no—
933#117—42no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C42—24no—
1056C2×C42—24no—
1057C2×C42—44no—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2511yescharacteristic
1171C24C2514yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174#41—816no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—42no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—816no—
1193C2×Q8C2×#4118yes—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D42−1+414yes—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4C2×#4118yes—
1362C4⋊C4C2×#4118yes—
1363C4⋊C4H(5,𝔽2)14yes—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—41no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—28no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—41no—
1450C42—44no—
1451C42—42no—
1452C42—44no—
1453C42C2×#4114yes—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—24no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—24no—
1466C23—21no—
1467C23—21no—
1468C23—24no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—21no—
1474C23—21no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—21no—
1481C23C2×2−1+414yes—
1482C23C2611yescharacteristic
1483Q8—216no—
1484Q8—44no—
1485Q8—84no—
1486Q8—88no—
1487Q8—84no—
1488Q8—88no—
1489D4—28no—
1490D4—416no—
1491D4—44no—
1492D4—48no—
1493D4—48no—
1494D4—84no—
1495D4—88no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—164no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—82no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—164no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4118yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×H(5,𝔽2)14yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—44no—
1617C22—44no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—44no—
1623C22—41no—
1624C22—41no—
1625C22—44no—
1626C22—44no—
1627C22—41no—
1628C22—41no—
1629C22—44no—
1630C22—41no—
1631C22—41no—
1632C22—44no—
1633C22—41no—
1634C22—41no—
1635C22C23×#4111yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—28no—
1645C4—22no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—44no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4#351414yes—
1672C4#351614yes—
1673C2—44no—
1674C2—81no—
1675C2—81no—
1676C2—84no—
1677C2C2×#351411yescharacteristic
1678C2C2×#351611yescharacteristic
1679C2#6282711yescharacteristic
1680C2#6292311yescharacteristic
1681C2#6295111yescharacteristic
1682C2#6300611yescharacteristic
1683C2#6301311yescharacteristic
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. #59806C2semidirect
2. #59667C2semidirect
3. #59465C2semidirect
4. #59080C2semidirect
5. #59036C2semidirect
6. #51166C2semidirect
7. #49192C2semidirect
8. #46876C2semidirect
9. #45313C2semidirect
10. #45172C2semidirect
11. #45045C2semidirect
12. #44992C2semidirect
13. #43652C2semidirect
14. #42869C2semidirect
15. #42731C2semidirect
16. #40118C2semidirect
17. #39608C2semidirect
18. #39297C2semidirect
19. #39217C2semidirect
20. #39157C2semidirect
21. #38985C2semidirect
22. #38941C2semidirect
23. #38055C2semidirect
24. #36472C2semidirect
25. #36463C2semidirect
26. #36150C2semidirect
27. #35897C2semidirect
28. #35854C2semidirect
29. #35587C2semidirect
30. #35559C2semidirect
31. #34943C2semidirect
32. #34793C2semidirect
33. #34393C2semidirect
34. #34334C2semidirect
35. #34231C2semidirect

Maximal subgroups

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

subgroupindex
#598062
#596672
#594652
#590802
#590362
#511662
#491922
#468762
#453132
#451722
#450452
#449922
#436522
#428692
#427312
#401182
#396082
#392972
#392172
#391572
#389852
#389412
#380552
#364722
#364632
#361502
#358972
#358542
#355872
#355592
#349432
#347932
#343932
#343342
#342312