Finite Group Databasebeta

← #7693320

Subgroups — #7693320

Order 512.

5115 conjugacy classes of subgroups.

The subgroup lattice has 1699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59786C214yesmaximal, complemented
2#59750C212yesmaximal, complemented
3#59654C211yesmaximal, characteristic, complemented
4#59634C212yesmaximal, complemented
5#59421C211yesmaximal, characteristic, complemented
6#59417C212yesmaximal, complemented
7#59410C211yesmaximal, characteristic, complemented
8#59240C212yesmaximal, complemented
9#45320C212yesmaximal, complemented
10#45234C212yesmaximal, complemented
11#44819C214yesmaximal, complemented
12#44429C214yesmaximal, complemented
13#40170C212yesmaximal, complemented
14#40166C212yesmaximal, complemented
15#40159C214yesmaximal, complemented
16#39194C211yesmaximal, characteristic, complemented
17#39191C211yesmaximal, characteristic, complemented
18#39188C212yesmaximal, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36555C211yesmaximal, characteristic, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36418C212yesmaximal, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36297C212yesmaximal, complemented
25#36292C212yesmaximal, complemented
26#36174C211yesmaximal, characteristic, complemented
27#35985C212yesmaximal, complemented
28#35793C212yesmaximal, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34800C212yesmaximal, complemented
31#34312C212yesmaximal, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#553C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2212yes—
41C2×#547C2211yescharacteristic
42C2×#520C2212yes—
43C2×#519C2212yes—
44#2866C2214yes—
45#2864C2212yes—
46#2863C2212yes—
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2854C2212yes—
51#2850C2212yes—
52#2803C2214yes—
53#2803C2214yes—
54#2801C2214yes—
55#2800C2214yes—
56#2798C2214yes—
57#2796C2214yes—
58#2777C2214yes—
59#2777C2214yes—
60#2758C2214yes—
61#2756C2214yes—
62#2755C2214yes—
63#2753C2214yes—
64#2752C2214yes—
65#2741C2214yes—
66#2738C2214yes—
67#2711C2214yes—
68#2705C2214yes—
69#2703C2214yes—
70#2702C2214yes—
71#2700C2214yes—
72#2681C2214yes—
73#2637C2214yes—
74#2635C2214yes—
75#2624C2212yes—
76#2624C2212yes—
77#2604C2214yes—
78#2602C2214yes—
79#2600C2214yes—
80#2594C2214yes—
81#2593C2212yes—
82#2593C2212yes—
83#2587C2214yes—
84#2584C2212yes—
85#2584C2212yes—
86#2582C2211yescharacteristic
87#2582C2211yescharacteristic
88#2581C2212yes—
89#2580C2214yes—
90#2575C2214yes—
91#2571C2211yescharacteristic
92#2562C2212yes—
93#2560C2214yes—
94#2559C2214yes—
95#2557C2214yes—
96#2555C2214yes—
97#2554C2214yes—
98#2548C2211yescharacteristic
99#2548C2211yescharacteristic
100#2540C2212yes—
101#2538C2211yescharacteristic
102#2538C2211yescharacteristic
103#2537C2211yescharacteristic
104#2537C2211yescharacteristic
105#2537C2211yescharacteristic
106#2536C2212yes—
107#2535C2212yes—
108#2532C2214yes—
109#2530C2214yes—
110#2528C2214yes—
111#2526C2214yes—
112#2526C2214yes—
113#2526C2214yes—
114#2522C2214yes—
115#2522C2214yes—
116#2520C2214yes—
117#2518C2214yes—
118#2518C2214yes—
119#2518C2214yes—
120#2518C2214yes—
121#2516C2214yes—
122#2516C2214yes—
123#2516C2214yes—
124#2515C2214yes—
125#2513C2212yes—
126#2513C2211yescharacteristic
127#2513C2211yescharacteristic
128#2510C2214yes—
129#2509C2212yes—
130#2509C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2508C2212yes—
134#2500C2212yes—
135#2497C2212yes—
136#2497C2212yes—
137#2496C2212yes—
138#2495C2212yes—
139#2495C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2493C2214yes—
143#2492C2212yes—
144#2491C2212yes—
145#2490C2212yes—
146#2490C2212yes—
147#2489C2212yes—
148#2488C2214yes—
149#2487C2212yes—
150#2485C2212yes—
151#2481C2214yes—
152#2479C2214yes—
153#2476C2214yes—
154#2476C2214yes—
155#2475C2214yes—
156#2474C2214yes—
157#2471C2214yes—
158#2470C2214yes—
159#2470C2214yes—
160#2461C2214yes—
161#2459C2214yes—
162#2457C2214yes—
163#2454C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2448C2212yes—
168#2448C2211yescharacteristic
169#2448C2211yescharacteristic
170#2447C2212yes—
171#2443C2214yes—
172#2441C2212yes—
173#2440C2212yes—
174#2439C2212yes—
175#2436C2212yes—
176#2431C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2428C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2420C2212yes—
189#2417C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2214yes—
194#2409C2212yes—
195#2407C2212yes—
196#2398C2214yes—
197#2395C2212yes—
198#2395C2212yes—
199#2392C2214yes—
200#2374C2212yes—
201#2374C2212yes—
202#2373C2214yes—
203#2370C2212yes—
204#2370C2212yes—
205#2367C2211yescharacteristic
206#2367C2214yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2211yescharacteristic
210#2366C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2364C2214yes—
214#2363C2214yes—
215#2363C2212yes—
216#2363C2212yes—
217#2362C2212yes—
218#2362C2214yes—
219#2362C2212yes—
220#2361C2212yes—
221#2361C2212yes—
222#2360C2212yes—
223#2360C2214yes—
224#2360C2212yes—
225#2360C2212yes—
226#2359C2214yes—
227#2357C2211yescharacteristic
228#2357C2212yes—
229#2357C2211yescharacteristic
230#2356C2212yes—
231#2355C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2352C2212yes—
238#2352C2214yes—
239#2352C2212yes—
240#2351C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2346C2212yes—
246#2345C2212yes—
247#2344C2212yes—
248#2344C2212yes—
249#2341C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252#2339C2212yes—
253#2324C2212yes—
254#2324C2214yes—
255#2323C2212yes—
256#2323C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2323C2214yes—
260#2322C2214yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#126C2214yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2214yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2214yes—
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2293C2214yes—
288#2293C2212yes—
289C2×#389C2212yes—
290#2283C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—28no—
302#556—28no—
303#553—48no—
304D4×Q8—28no—
305#548—216no—
306#547—28no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345#520—48no—
346#519—48no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C42C2312yes—
399C22×C42C2312yes—
400#401C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#390C2314yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
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#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C4⋊Q8—28no—
854C4⋊Q8#4118yes—
855#127—24no—
856#127—42no—
857#126—216no—
858#126—48no—
859#125—44no—
860#125—44no—
861#125—44no—
862#124—28no—
863#124—24no—
864#124—216no—
865#124—28no—
866#124—42no—
867#124—42no—
868#124—44no—
869#124#4118yes—
870#123—216no—
871#123—28no—
872#123—28no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—216no—
878C22⋊Q8—28no—
879C22⋊Q8—216no—
880C22⋊Q8—44no—
881#121—28no—
882#121—28no—
883#121—216no—
884#121—48no—
885#121—48no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—42no—
900C4×Q8—48no—
901C4×Q8—48no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—216no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—44no—
928C4×D4—48no—
929#117—28no—
930#117—28no—
931#117—44no—
932#117—44no—
933#117—48no—
934#117—48no—
935#117—48no—
936#117—48no—
937#117—44no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—48no—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2512yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2512yes—
1182#41—432no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—28no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—44no—
1195C2×Q8—41no—
1196C2×Q8—432no—
1197C2×Q8C2×#4114yes—
1198C2×Q8C2×#4118yes—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4C2×#4114yes—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4118yes—
1365C4⋊C4H(5,𝔽2)14yes—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4C2×#4118yes—
1425C22⋊C4C2×#4118yes—
1426C42—28no—
1427C42—24no—
1428C42—28no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—28no—
1434C42—22no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—42no—
1464C42—41no—
1465C42—41no—
1466C42—42no—
1467C42—42no—
1468C42C2×#4114yes—
1469C42C2×#4114yes—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23C22×#4114yes—
1498C23C2611yescharacteristic
1499Q8—28no—
1500Q8—216no—
1501Q8—44no—
1502Q8—416no—
1503Q8—44no—
1504D4—28no—
1505D4—48no—
1506D4—416no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—84no—
1511D4—84no—
1512D4—88no—
1513D4—88no—
1514D4—84no—
1515D4—164no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—416no—
1597C2×C4—416no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—48no—
1601C2×C4—48no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4—84no—
1607C2×C4—164no—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4114yes—
1610C2×C4C22×#4118yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)14yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22C23×#4111yescharacteristic
1650C22C23×#4111yescharacteristic
1651C22C22×H(5,𝔽2)11yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C222−1+611yescharacteristic
1656C4—22no—
1657C4—22no—
1658C4—24no—
1659C4—22no—
1660C4—22no—
1661C4—28no—
1662C4—24no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—41no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—44no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4#348114yes—
1686C4#352414yes—
1687C2—44no—
1688C2—82no—
1689C2—82no—
1690C2—82no—
1691C2C2×#348111yescharacteristic
1692C2C2×#352411yescharacteristic
1693C2#6281611yescharacteristic
1694C2#6292211yescharacteristic
1695C2#6299511yescharacteristic
1696C2#6300711yescharacteristic
1697C2#6302411yescharacteristic
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. #59786C2semidirect
2. #59750C2semidirect
3. #59654C2semidirect
4. #59634C2semidirect
5. #59421C2semidirect
6. #59417C2semidirect
7. #59410C2semidirect
8. #59240C2semidirect
9. #45320C2semidirect
10. #45234C2semidirect
11. #44819C2semidirect
12. #44429C2semidirect
13. #40170C2semidirect
14. #40166C2semidirect
15. #40159C2semidirect
16. #39194C2semidirect
17. #39191C2semidirect
18. #39188C2semidirect
19. #36574C2semidirect
20. #36555C2semidirect
21. #36468C2semidirect
22. #36418C2semidirect
23. #36299C2semidirect
24. #36297C2semidirect
25. #36292C2semidirect
26. #36174C2semidirect
27. #35985C2semidirect
28. #35793C2semidirect
29. #34954C2semidirect
30. #34800C2semidirect
31. #34312C2semidirect
32. #34311C2semidirect
33. #34308C2semidirect
34. C4×#559C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#597862
#597502
#596542
#596342
#594212
#594172
#594102
#592402
#453202
#452342
#448192
#444292
#401702
#401662
#401592
#391942
#391912
#391882
#365742
#365552
#364682
#364182
#362992
#362972
#362922
#361742
#359852
#357932
#349542
#348002
#343122
#343112
#343082
C4×#5592
C4×#5562