Finite Group Databasebeta

← #7979691

Subgroups — #7979691

Order 512.

5379 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59280C212yesmaximal, complemented
4#59056C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#50097C214yesmaximal, complemented
7#49688C214yesmaximal, complemented
8#45689C212yesmaximal, complemented
9#45604C212yesmaximal, complemented
10#45011C212yesmaximal, complemented
11#44933C212yesmaximal, complemented
12#44149C214yesmaximal, complemented
13#42593C212yesmaximal, complemented
14#42508C212yesmaximal, complemented
15#42144C214yesmaximal, complemented
16#40150C212yesmaximal, complemented
17#40033C212yesmaximal, complemented
18#39865C212yesmaximal, complemented
19#39643C211yesmaximal, characteristic, complemented
20#39262C212yesmaximal, complemented
21#39023C212yesmaximal, complemented
22#38920C211yesmaximal, characteristic, complemented
23#36586C211yesmaximal, characteristic, complemented
24#36415C211yesmaximal, characteristic, complemented
25#36411C211yesmaximal, characteristic, complemented
26#36410C212yesmaximal, complemented
27#36176C211yesmaximal, characteristic, complemented
28#36149C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35197C211yesmaximal, characteristic, complemented
31#35190C212yesmaximal, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34467C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#555C2211yescharacteristic
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2212yes—
44C2×#529C2211yescharacteristic
45C2×C4×#41C2212yes—
46C2×C4×#41C2211yescharacteristic
47#2862C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2850C2212yes—
55#2850C2212yes—
56#2850C2212yes—
57#2850C2212yes—
58#2837C2214yes—
59#2828C2214yes—
60#2799C2214yes—
61#2797C2214yes—
62#2793C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2761C2214yes—
66#2755C2214yes—
67#2753C2214yes—
68#2753C2214yes—
69#2749C2214yes—
70#2749C2214yes—
71#2748C2214yes—
72#2743C2214yes—
73#2741C2214yes—
74#2733C2214yes—
75#2733C2214yes—
76#2730C2214yes—
77#2730C2214yes—
78#2718C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2706C2214yes—
82#2703C2214yes—
83#2701C2214yes—
84#2688C2214yes—
85#2688C2214yes—
86#2688C2214yes—
87#2673C2214yes—
88#2673C2214yes—
89#2673C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2671C2214yes—
93#2662C2214yes—
94#2651C2214yes—
95#2649C2214yes—
96#2648C2214yes—
97#2647C2212yes—
98#2635C2214yes—
99#2635C2214yes—
100#2635C2214yes—
101#2624C2212yes—
102#2600C2214yes—
103#2598C2214yes—
104#2598C2214yes—
105#2597C2214yes—
106#2596C2214yes—
107#2582C2212yes—
108#2576C2214yes—
109#2576C2214yes—
110#2573C2214yes—
111#2571C2211yescharacteristic
112#2568C2212yes—
113#2567C2211yescharacteristic
114#2566C2212yes—
115#2563C2211yescharacteristic
116#2557C2214yes—
117#2557C2214yes—
118#2548C2212yes—
119#2548C2212yes—
120#2548C2211yescharacteristic
121#2547C2211yescharacteristic
122#2546C2211yescharacteristic
123#2545C2212yes—
124#2544C2212yes—
125#2544C2212yes—
126#2543C2214yes—
127#2543C2214yes—
128#2542C2212yes—
129#2541C2212yes—
130#2541C2212yes—
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2541C2211yescharacteristic
134#2541C2212yes—
135#2541C2211yescharacteristic
136#2538C2211yescharacteristic
137#2537C2212yes—
138#2535C2212yes—
139#2535C2212yes—
140#2535C2212yes—
141#2532C2214yes—
142#2526C2214yes—
143#2516C2214yes—
144#2514C2212yes—
145#2513C2212yes—
146#2513C2212yes—
147#2511C2212yes—
148#2510C2214yes—
149#2510C2214yes—
150#2509C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2500C2214yes—
154#2499C2212yes—
155#2495C2212yes—
156#2494C2212yes—
157#2489C2212yes—
158#2488C2214yes—
159#2487C2212yes—
160#2487C2212yes—
161#2486C2212yes—
162#2485C2212yes—
163#2479C2212yes—
164#2476C2214yes—
165#2476C2214yes—
166#2474C2214yes—
167#2471C2214yes—
168#2471C2214yes—
169#2471C2212yes—
170#2467C2212yes—
171#2464C2214yes—
172#2464C2214yes—
173#2461C2214yes—
174#2457C2214yes—
175#2456C2214yes—
176#2456C2212yes—
177#2454C2211yescharacteristic
178#2448C2211yescharacteristic
179#2448C2212yes—
180#2447C2212yes—
181#2447C2212yes—
182#2446C2212yes—
183#2445C2214yes—
184#2445C2212yes—
185#2441C2211yescharacteristic
186#2432C2212yes—
187#2431C2212yes—
188#2431C2212yes—
189#2431C2214yes—
190#2431C2214yes—
191#2431C2214yes—
192#2431C2211yescharacteristic
193#2430C2214yes—
194#2428C2211yescharacteristic
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2427C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2423C2211yescharacteristic
203#2422C2212yes—
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2214yes—
215#2414C2211yescharacteristic
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yes—
226#2397C2212yes—
227#2392C2212yes—
228#2392C2214yes—
229#2379C2214yes—
230#2377C2214yes—
231#2369C2211yescharacteristic
232#2367C2214yes—
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2363C2214yes—
236#2363C2212yes—
237#2363C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2361C2211yescharacteristic
241#2361C2211yescharacteristic
242#2361C2212yes—
243#2359C2212yes—
244#2359C2212yes—
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2212yes—
250#2352C2212yes—
251#2352C2212yes—
252#2352C2212yes—
253#2352C2212yes—
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2346C2212yes—
258#2344C2211yescharacteristic
259#2344C2211yescharacteristic
260#2343C2214yes—
261#2339C2212yes—
262#2339C2212yes—
263#2339C2212yes—
264#2337C2214yes—
265#2331C2212yes—
266#2328C2212yes—
267#2328C2214yes—
268#2326C2214yes—
269#2325C2214yes—
270#2324C2212yes—
271#2324C2212yes—
272#2319C2212yes—
273#2317C2212yes—
274#2314C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#123C2212yes—
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2297C2212yes—
290#2297C2212yes—
291#2296C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294#2283C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304#555—216no—
305#555—44no—
306#550—48no—
307#547—28no—
308#547—44no—
309#532—44no—
310#532—44no—
311#532—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2314yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2312yes—
323#529—44no—
324C2×#126C2312yes—
325C2×#125C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C4×#41—48no—
376C4×#41—44no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2312yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2312yes—
434C22×C42C2312yes—
435#401C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2312yes—
451#399C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#395C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2314yes—
732#383C2314yes—
733#383C2314yes—
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2312yes—
745#381C2314yes—
746#381C2312yes—
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816#376C2314yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—82no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—44no—
889C4⋊Q8#4118yescomplemented
890#127—24no—
891#127—44no—
892#127—42no—
893#127—44no—
894#127—44no—
895#127—48no—
896#127—48no—
897#126—44no—
898#125—42no—
899#124—216no—
900#124—216no—
901#124—42no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—48no—
907#123—28no—
908#123—28no—
909#123—48no—
910#123—44no—
911#123—84no—
912#123—84no—
913#123—84no—
914C22⋊Q8—28no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—42no—
918C22⋊Q8—44no—
919C22⋊Q8—82no—
920#121—24no—
921#121—24no—
922#121—24no—
923#121—28no—
924#121—28no—
925#121—216no—
926#121—48no—
927#121—44no—
928#121—48no—
929#121—44no—
930#121—44no—
931#121—42no—
932#121—44no—
933#121—42no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—84no—
946#121—84no—
947#121—84no—
948C4×Q8—24no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×D4—24no—
954C4×D4—28no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—48no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—42no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—82no—
984#117—28no—
985#117—28no—
986#117—216no—
987#117—44no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—44no—
992#117—42no—
993#117—44no—
994#117—44no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C42—28no—
1125C2×C42—24no—
1126C2×C42—24no—
1127C2×C42—44no—
1128C2×C42—44no—
1129C2×C42—44no—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2414yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2514yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225#41—416no—
1226#41—432no—
1227#41—816no—
1228#41—816no—
1229#41—816no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8C2×#4118yes—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—28no—
1347C22×C4—22no—
1348C22×C4—28no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—41no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2514yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—41no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4C2×#4114yes—
1462C4⋊C4C2×#4114yes—
1463C4⋊C4C2×#4118yes—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—41no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C42—28no—
1534C42—28no—
1535C42—22no—
1536C42—24no—
1537C42—22no—
1538C42—24no—
1539C42—22no—
1540C42—24no—
1541C42—22no—
1542C42—22no—
1543C42—24no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—44no—
1558C42—41no—
1559C42—44no—
1560C42—41no—
1561C42—44no—
1562C42C2×#4114yes—
1563C42H(5,𝔽2)14yes—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—24no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23C2×H(5,𝔽2)12yes—
1605C23#58512yes—
1606C23C2611yescharacteristic
1607Q8—48no—
1608Q8—44no—
1609Q8—48no—
1610Q8—84no—
1611D4—28no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—44no—
1617D4—48no—
1618D4—44no—
1619D4—48no—
1620D4—44no—
1621D4—84no—
1622D4—88no—
1623D4—88no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—88no—
1628D4—88no—
1629D4—84no—
1630D4—88no—
1631D4—88no—
1632D4—164no—
1633D4—164no—
1634D4—164no—
1635D4—164no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—28no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—48no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—88no—
1724C2×C4—82no—
1725C2×C4—88no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4C22×#4114yes—
1733C2×C4C22×#4114yes—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—44no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—44no—
1786C22C23×#4111yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C2×#58511yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22H(7,𝔽2)11yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—24no—
1796C4—24no—
1797C4—22no—
1798C4—22no—
1799C4—44no—
1800C4—42no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—44no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—41no—
1817C4—42no—
1818C4—42no—
1819C4—44no—
1820C4#351714yes—
1821C4#354214yes—
1822C2—42no—
1823C2—42no—
1824C2—84no—
1825C2—82no—
1826C2—82no—
1827C2—82no—
1828C2C2×#354211yescharacteristic
1829C2#6277311yescharacteristic
1830C2C2×#351711yescharacteristic
1831C2#6292411yescharacteristic
1832C2#6293011yescharacteristic
1833C2#6300611yescharacteristic
1834C2#6302911yescharacteristic
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. #59860C2semidirect
2. #59822C2semidirect
3. #59280C2semidirect
4. #59056C2semidirect
5. #59051C2semidirect
6. #50097C2semidirect
7. #49688C2semidirect
8. #45689C2semidirect
9. #45604C2semidirect
10. #45011C2semidirect
11. #44933C2semidirect
12. #44149C2semidirect
13. #42593C2semidirect
14. #42508C2semidirect
15. #42144C2semidirect
16. #40150C2semidirect
17. #40033C2semidirect
18. #39865C2semidirect
19. #39643C2semidirect
20. #39262C2semidirect
21. #39023C2semidirect
22. #38920C2semidirect
23. #36586C2semidirect
24. #36415C2semidirect
25. #36411C2semidirect
26. #36410C2semidirect
27. #36176C2semidirect
28. #36149C2semidirect
29. #35238C2semidirect
30. #35197C2semidirect
31. #35190C2semidirect
32. #34937C2semidirect
33. #34727C2semidirect
34. #34467C2semidirect
35. C4×#547C2semidirect
889. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598602
#598222
#592802
#590562
#590512
#500972
#496882
#456892
#456042
#450112
#449332
#441492
#425932
#425082
#421442
#401502
#400332
#398652
#396432
#392622
#390232
#389202
#365862
#364152
#364112
#364102
#361762
#361492
#352382
#351972
#351902
#349372
#347272
#344672
C4×#5472