Finite Group Databasebeta

← #7657530

Subgroups — #7657530

Order 512.

5333 conjugacy classes of subgroups.

The subgroup lattice has 1780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42895C212yesmaximal, complemented
2#42893C212yesmaximal, complemented
3#42578C212yesmaximal, complemented
4#42571C212yesmaximal, complemented
5#42138C214yesmaximal, complemented
6#42101C214yesmaximal, complemented
7#41310C214yesmaximal, complemented
8#41270C214yesmaximal, complemented
9#39754C211yesmaximal, characteristic, complemented
10#39745C211yesmaximal, characteristic, complemented
11#39284C212yesmaximal, complemented
12#39282C212yesmaximal, complemented
13#39138C211yesmaximal, characteristic, complemented
14#39137C211yesmaximal, characteristic, complemented
15#37775C212yesmaximal, complemented
16#37764C212yesmaximal, complemented
17#37626C212yesmaximal, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37570C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36128C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35941C212yesmaximal, complemented
26#35882C212yesmaximal, complemented
27#35793C212yesmaximal, complemented
28#35704C212yesmaximal, complemented
29#35295C212yesmaximal, complemented
30#35278C211yesmaximal, characteristic, complemented
31#34624C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#540C2212yes—
41C2×#532C2212yes—
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C2×#520C2212yes—
45#2867C2211yescharacteristic
46#2860C2212yes—
47#2860C2212yes—
48#2859C2211yescharacteristic
49#2856C2212yes—
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2851C2212yes—
53#2837C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2828C2214yes—
57#2828C2214yes—
58#2828C2214yes—
59#2802C2214yes—
60#2797C2214yes—
61#2779C2214yes—
62#2778C2214yes—
63#2774C2214yes—
64#2753C2214yes—
65#2750C2214yes—
66#2717C2214yes—
67#2714C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2708C2214yes—
71#2705C2214yes—
72#2705C2214yes—
73#2703C2214yes—
74#2691C2214yes—
75#2686C2214yes—
76#2682C2214yes—
77#2682C2214yes—
78#2673C2214yes—
79#2673C2214yes—
80#2673C2214yes—
81#2673C2214yes—
82#2671C2214yes—
83#2662C2214yes—
84#2662C2214yes—
85#2661C2214yes—
86#2661C2214yes—
87#2661C2214yes—
88#2660C2212yes—
89#2657C2212yes—
90#2654C2212yes—
91#2653C2212yes—
92#2650C2212yes—
93#2649C2214yes—
94#2649C2212yes—
95#2648C2214yes—
96#2648C2214yes—
97#2647C2211yescharacteristic
98#2645C2211yescharacteristic
99#2644C2212yes—
100#2644C2211yescharacteristic
101#2641C2212yes—
102#2641C2212yes—
103#2640C2211yescharacteristic
104#2635C2214yes—
105#2635C2214yes—
106#2635C2214yes—
107#2630C2214yes—
108#2628C2211yescharacteristic
109#2625C2211yescharacteristic
110#2624C2211yescharacteristic
111#2624C2214yes—
112#2624C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2620C2211yescharacteristic
116#2620C2212yes—
117#2620C2212yes—
118#2619C2212yes—
119#2619C2212yes—
120#2619C2214yes—
121#2619C2212yes—
122#2619C2212yes—
123#2603C2214yes—
124#2600C2214yes—
125#2597C2214yes—
126#2597C2214yes—
127#2591C2214yes—
128#2584C2212yes—
129#2581C2212yes—
130#2576C2214yes—
131#2571C2211yescharacteristic
132#2571C2212yes—
133#2570C2212yes—
134#2559C2214yes—
135#2559C2214yes—
136#2559C2214yes—
137#2559C2214yes—
138#2552C2211yescharacteristic
139#2548C2212yes—
140#2548C2211yescharacteristic
141#2548C2212yes—
142#2544C2212yes—
143#2543C2214yes—
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2212yes—
150#2541C2212yes—
151#2540C2212yes—
152#2538C2211yescharacteristic
153#2537C2211yescharacteristic
154#2537C2212yes—
155#2535C2212yes—
156#2526C2214yes—
157#2512C2212yes—
158#2508C2212yes—
159#2500C2212yes—
160#2496C2212yes—
161#2490C2212yes—
162#2490C2212yes—
163#2481C2214yes—
164#2479C2214yes—
165#2479C2214yes—
166#2476C2214yes—
167#2476C2214yes—
168#2476C2214yes—
169#2471C2214yes—
170#2471C2214yes—
171#2470C2214yes—
172#2466C2214yes—
173#2464C2214yes—
174#2456C2214yes—
175#2456C2214yes—
176#2454C2212yes—
177#2454C2212yes—
178#2453C2212yes—
179#2445C2212yes—
180#2445C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2444C2214yes—
185#2443C2214yes—
186#2431C2214yes—
187#2431C2212yes—
188#2431C2212yes—
189#2431C2212yes—
190#2430C2214yes—
191#2428C2214yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2214yes—
200#2428C2214yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2212yes—
213#2420C2212yes—
214#2420C2214yes—
215#2420C2212yes—
216#2420C2212yes—
217#2420C2212yes—
218#2419C2214yes—
219#2414C2212yes—
220#2414C2214yes—
221#2407C2212yes—
222#2406C2214yes—
223#2401C2212yes—
224#2398C2212yes—
225#2396C2212yes—
226#2395C2212yes—
227#2392C2214yes—
228#2392C2214yes—
229#2388C2214yes—
230#2388C2214yes—
231#2374C2212yes—
232#2374C2212yes—
233#2373C2212yes—
234#2373C2212yes—
235#2370C2211yescharacteristic
236#2370C2211yescharacteristic
237#2367C2212yes—
238#2367C2212yes—
239#2367C2211yescharacteristic
240#2367C2211yescharacteristic
241#2366C2211yescharacteristic
242#2366C2212yes—
243#2366C2211yescharacteristic
244#2366C2212yes—
245#2363C2211yescharacteristic
246#2363C2211yescharacteristic
247#2363C2212yes—
248#2362C2211yescharacteristic
249#2362C2211yescharacteristic
250#2361C2212yes—
251#2361C2214yes—
252#2361C2212yes—
253#2361C2212yes—
254#2359C2214yes—
255#2357C2212yes—
256#2355C2211yescharacteristic
257#2354C2212yes—
258Q8×C4⋊C4C2211yescharacteristic
259Q8×C4⋊C4C2211yescharacteristic
260#2349C2212yes—
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2212yes—
263#2344C2212yes—
264#2341C2212yes—
265#2335C2214yes—
266#2330C2212yes—
267#2328C2212yes—
268#2328C2212yes—
269#2326C2212yes—
270#2324C2212yes—
271#2324C2214yes—
272#2324C2212yes—
273#2324C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2290C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#559—28no—
302#553—48no—
303#550—28no—
304#550—48no—
305#540—48no—
306#532—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2314yes—
321#529—28no—
322#529—48no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376#520—48no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2314yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2314yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425#401C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#394C2314yes—
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#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#393C2312yes—
520#393C2312yes—
521#393C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2311yescharacteristic
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—48no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—48no—
824C2×#41—84no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868#127—24no—
869#127—28no—
870#127—24no—
871#127—28no—
872#127—44no—
873#127—44no—
874#127—44no—
875#127—44no—
876#127—44no—
877#127—44no—
878#127—84no—
879#127—82no—
880#127—82no—
881#126—28no—
882#126—48no—
883#126—48no—
884#126—84no—
885#125—24no—
886#125—28no—
887#125—44no—
888#124—24no—
889#124—28no—
890#124—28no—
891#124—24no—
892#124—44no—
893#124—48no—
894#123—28no—
895#123—216no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904#121—24no—
905#121—28no—
906#121—216no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—82no—
929#121—84no—
930#121—84no—
931#121—84no—
932#121—84no—
933#121—82no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8#4118yescomplemented
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—48no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—48no—
964C4×D4—82no—
965C4×D4—84no—
966C4×D4—82no—
967C4×D4—84no—
968#117—24no—
969#117—28no—
970#117—24no—
971#117—44no—
972#117—42no—
973#117—44no—
974#117—48no—
975#117—48no—
976#117—42no—
977#117—84no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—48no—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C42—24no—
1107C2×C42—28no—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2512yes—
1207C24C2514yes—
1208#41—432no—
1209#41—832no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8C2×#4114yes—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4C2×#4114yes—
1421C4⋊C4C2×#4118yes—
1422C4⋊C4H(5,𝔽2)14yes—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—42no—
1512C42—44no—
1513C42—44no—
1514C42—42no—
1515C42—44no—
1516C42—41no—
1517C42—41no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—41no—
1523C42—41no—
1524C42C2×#4114yes—
1525C42C2×#4118yes—
1526C42H(5,𝔽2)14yes—
1527C23—22no—
1528C23—24no—
1529C23—21no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—24no—
1536C23—24no—
1537C23—22no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—21no—
1547C23—24no—
1548C23—24no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—24no—
1557C23—21no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—21no—
1562C23C2611yescharacteristic
1563Q8—28no—
1564Q8—48no—
1565Q8—44no—
1566D4—416no—
1567D4—44no—
1568D4—48no—
1569D4—48no—
1570D4—48no—
1571D4—44no—
1572D4—48no—
1573D4—84no—
1574D4—88no—
1575D4—84no—
1576D4—84no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—84no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—164no—
1586D4—164no—
1587D4—164no—
1588D4—164no—
1589D4—164no—
1590D4—164no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—48no—
1670C2×C4—416no—
1671C2×C4—44no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—88no—
1676C2×C4—82no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—164no—
1682C2×C4—164no—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4114yes—
1685C2×C4C22×#4114yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)14yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4#58512yes—
1694C2×C4#58512yes—
1695C22—42no—
1696C22—41no—
1697C22—44no—
1698C22—42no—
1699C22—44no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—41no—
1710C22—42no—
1711C22—41no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—44no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—44no—
1720C22—42no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—41no—
1725C22—42no—
1726C22—44no—
1727C22—44no—
1728C22—41no—
1729C22—42no—
1730C22C23×#4111yescharacteristic
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22H(7,𝔽2)11yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C4—24no—
1738C4—22no—
1739C4—22no—
1740C4—24no—
1741C4—24no—
1742C4—22no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4—41no—
1752C4—41no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—44no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4#346014yes—
1766C4#351714yes—
1767C2—81no—
1768C2—82no—
1769C2—84no—
1770C2—82no—
1771C2—84no—
1772C2C2×#346011yescharacteristic
1773C2C2×#351711yescharacteristic
1774C2#6285811yescharacteristic
1775C2#6291211yescharacteristic
1776C2#6292311yescharacteristic
1777C2#6295511yescharacteristic
1778C2#6296911yescharacteristic
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. #42895C2semidirect
2. #42893C2semidirect
3. #42578C2semidirect
4. #42571C2semidirect
5. #42138C2semidirect
6. #42101C2semidirect
7. #41310C2semidirect
8. #41270C2semidirect
9. #39754C2semidirect
10. #39745C2semidirect
11. #39284C2semidirect
12. #39282C2semidirect
13. #39138C2semidirect
14. #39137C2semidirect
15. #37775C2semidirect
16. #37764C2semidirect
17. #37626C2semidirect
18. #37626C2semidirect
19. #37625C2semidirect
20. #37570C2semidirect
21. #36472C2semidirect
22. #36460C2semidirect
23. #36128C2semidirect
24. #36114C2semidirect
25. #35941C2semidirect
26. #35882C2semidirect
27. #35793C2semidirect
28. #35704C2semidirect
29. #35295C2semidirect
30. #35278C2semidirect
31. #34624C2semidirect
32. #34619C2semidirect
33. #34331C2semidirect
34. #34313C2semidirect
35. #34151C2semidirect
940. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#428952
#428932
#425782
#425712
#421382
#421012
#413102
#412702
#397542
#397452
#392842
#392822
#391382
#391372
#377752
#377642
#376262
#376252
#375702
#364722
#364602
#361282
#361142
#359412
#358822
#357932
#357042
#352952
#352782
#346242
#346192
#343312
#343132
#341512