Finite Group Databasebeta

← #8464306

Subgroups — #8464306

Order 512.

5373 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59443C211yesmaximal, characteristic, complemented
2#59033C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#58275C214yesmaximal, complemented
5#55581C214yesmaximal, complemented
6#53514C214yesmaximal, complemented
7#53063C212yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#48180C214yesmaximal, complemented
10#45604C212yesmaximal, complemented
11#45524C212yesmaximal, complemented
12#45026C212yesmaximal, complemented
13#44895C212yesmaximal, complemented
14#42876C212yesmaximal, complemented
15#42876C212yesmaximal, complemented
16#42595C212yesmaximal, complemented
17#42547C212yesmaximal, complemented
18#40145C212yesmaximal, complemented
19#39865C212yesmaximal, complemented
20#39823C212yesmaximal, complemented
21#39386C211yesmaximal, characteristic, complemented
22#39351C211yesmaximal, characteristic, complemented
23#39138C211yesmaximal, characteristic, complemented
24#38941C211yesmaximal, characteristic, complemented
25#37699C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37332C212yesmaximal, complemented
28#37301C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35190C211yesmaximal, characteristic, complemented
33#35170C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#550C2212yes—
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#542C2212yes—
41C2×#542C2212yes—
42C2×#540C2212yes—
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2867C2211yescharacteristic
49#2857C2212yes—
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2856C2212yes—
54#2854C2212yes—
55#2850C2212yes—
56#2850C2212yes—
57#2828C2214yes—
58#2826C2214yes—
59#2825C2214yes—
60#2825C2214yes—
61#2818C2214yes—
62#2818C2214yes—
63#2813C2214yes—
64#2813C2214yes—
65#2800C2214yes—
66#2797C2214yes—
67#2797C2214yes—
68#2778C2214yes—
69#2776C2214yes—
70#2760C2214yes—
71#2757C2214yes—
72#2752C2214yes—
73#2751C2214yes—
74#2749C2214yes—
75#2749C2214yes—
76#2743C2214yes—
77#2737C2214yes—
78#2730C2214yes—
79#2723C2214yes—
80#2714C2214yes—
81#2709C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2703C2214yes—
85#2703C2214yes—
86#2701C2214yes—
87#2699C2214yes—
88#2691C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2688C2214yes—
92#2688C2214yes—
93#2688C2214yes—
94#2686C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2676C2214yes—
98#2676C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2673C2214yes—
103#2673C2214yes—
104#2673C2214yes—
105#2673C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2673C2214yes—
111#2672C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2663C2214yes—
115#2657C2214yes—
116#2640C2212yes—
117#2639C2214yes—
118#2636C2214yes—
119#2635C2214yes—
120#2635C2214yes—
121#2631C2214yes—
122#2631C2214yes—
123#2624C2212yes—
124#2620C2212yes—
125#2620C2212yes—
126#2620C2212yes—
127#2619C2212yes—
128#2619C2212yes—
129#2619C2212yes—
130#2603C2214yes—
131#2603C2214yes—
132#2600C2214yes—
133#2598C2214yes—
134#2578C2212yes—
135#2576C2212yes—
136#2570C2212yes—
137#2570C2211yescharacteristic
138#2568C2211yescharacteristic
139#2568C2211yescharacteristic
140#2566C2211yescharacteristic
141#2566C2212yes—
142#2565C2212yes—
143#2563C2212yes—
144#2562C2211yescharacteristic
145#2551C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2212yes—
149#2547C2211yescharacteristic
150#2544C2212yes—
151#2544C2212yes—
152#2544C2212yes—
153#2543C2214yes—
154#2542C2212yes—
155#2542C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yes—
158#2541C2212yes—
159#2541C2212yes—
160#2541C2212yes—
161#2541C2212yes—
162#2541C2212yes—
163#2541C2211yescharacteristic
164#2541C2211yescharacteristic
165#2541C2212yes—
166#2541C2212yes—
167#2537C2212yes—
168#2537C2211yescharacteristic
169#2535C2212yes—
170#2535C2212yes—
171#2535C2211yescharacteristic
172#2535C2212yes—
173#2533C2214yes—
174#2526C2214yes—
175#2521C2214yes—
176#2515C2212yes—
177#2514C2212yes—
178#2514C2212yes—
179#2513C2212yes—
180#2512C2212yes—
181#2511C2212yes—
182#2510C2214yes—
183#2500C2212yes—
184#2497C2211yescharacteristic
185#2496C2212yes—
186#2494C2211yescharacteristic
187#2492C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2490C2212yes—
193#2478C2212yes—
194#2470C2212yes—
195#2466C2212yes—
196#2466C2214yes—
197#2459C2214yes—
198#2457C2212yes—
199#2455C2212yes—
200#2453C2211yescharacteristic
201#2452C2212yes—
202#2450C2214yes—
203#2448C2212yes—
204#2447C2212yes—
205#2447C2211yescharacteristic
206#2447C2212yes—
207#2446C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2444C2214yes—
211#2444C2214yes—
212#2444C2214yes—
213#2441C2211yescharacteristic
214#2432C2211yescharacteristic
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2431C2212yes—
222#2431C2212yes—
223#2429C2211yescharacteristic
224#2428C2212yes—
225#2428C2214yes—
226#2428C2214yes—
227#2428C2214yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2427C2212yes—
236#2425C2214yes—
237#2422C2212yes—
238#2422C2211yescharacteristic
239#2422C2211yescharacteristic
240#2420C2212yes—
241#2420C2211yescharacteristic
242#2420C2212yes—
243#2420C2212yes—
244#2419C2214yes—
245#2415C2211yescharacteristic
246#2414C2214yes—
247#2414C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2211yescharacteristic
255#2407C2212yes—
256#2401C2212yes—
257#2395C2212yes—
258#2392C2212yes—
259#2392C2212yes—
260#2377C2214yes—
261#2366C2211yescharacteristic
262#2366C2212yes—
263#2366C2212yes—
264#2366C2212yes—
265#2366C2212yes—
266#2366C2211yescharacteristic
267#2356C2212yes—
268#2356C2212yes—
269#2355C2211yescharacteristic
270Q8×C4⋊C4C2211yescharacteristic
271#2341C2212yes—
272#2339C2212yes—
273#2339C2212yes—
274#2339C2212yes—
275#2339C2212yes—
276#2328C2212yes—
277#2326C2212yes—
278#2325C2214yes—
279#2324C2212yes—
280#2323C2212yes—
281#2319C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#123C2212yes—
288C4×#123C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294#2290C2212yes—
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304#550—44no—
305#550—44no—
306#550—48no—
307#550—48no—
308#542—48no—
309#542—48no—
310#540—48no—
311#532—44no—
312#532—44no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2314yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2314yes—
333#529—44no—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#126C2312yes—
337C2×#125C2311yescharacteristic
338C2×#125C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2311yescharacteristic
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C4×#41—44no—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440C22×C42C2312yes—
441#401C2314yes—
442#401C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2314yes—
452#400C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#395C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
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#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2314yes—
580#391C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
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#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#383C2314yes—
746#383C2314yes—
747#383C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#381C2314yes—
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818#376C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#127—24no—
894#127—24no—
895#127—28no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—48no—
905#127—48no—
906#127—84no—
907#127—82no—
908#126—44no—
909#126—48no—
910#126—48no—
911#125—24no—
912#125—42no—
913#124—28no—
914#124—48no—
915#124—48no—
916#124—42no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—84no—
922#123—44no—
923#123—48no—
924#123—44no—
925#123—44no—
926#123—48no—
927#123—48no—
928#123—48no—
929C22⋊Q8—24no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—42no—
933C22⋊Q8—44no—
934C22⋊Q8—42no—
935C22⋊Q8—44no—
936C22⋊Q8—84no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—42no—
949#121—42no—
950#121—48no—
951#121—42no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—48no—
968#121—82no—
969#121—84no—
970#121—84no—
971#121—82no—
972#121—84no—
973C4×Q8—28no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—28no—
977C4×Q8—42no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—48no—
1002C4×D4—44no—
1003C4×D4—48no—
1004C4×D4—48no—
1005#117—28no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—42no—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C42—24no—
1136C2×C42—24no—
1137C2×C42—44no—
1138C2×C42—44no—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24C2511yescharacteristic
1226C24C2512yes—
1227C24C2514yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2514yes—
1231#41—416no—
1232#41—816no—
1233#41—816no—
1234#41—816no—
1235#41—816no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—44no—
1245C2×Q8—44no—
1246C2×Q8—44no—
1247C2×Q8H(5,𝔽2)14yes—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—42no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
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—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—24no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
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—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—28no—
1559C42—28no—
1560C42—24no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—44no—
1569C42—41no—
1570C42H(5,𝔽2)14yes—
1571C42H(5,𝔽2)14yes—
1572C23—21no—
1573C23—22no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—24no—
1584C23—24no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—22no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—21no—
1605C23—21no—
1606C23—24no—
1607C23—22no—
1608C23—21no—
1609C23—24no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23C2611yescharacteristic
1615Q8—28no—
1616Q8—44no—
1617Q8—48no—
1618Q8—164no—
1619D4—44no—
1620D4—48no—
1621D4—44no—
1622D4—48no—
1623D4—48no—
1624D4—44no—
1625D4—48no—
1626D4—48no—
1627D4—88no—
1628D4—88no—
1629D4—88no—
1630D4—84no—
1631D4—84no—
1632D4—88no—
1633D4—84no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—164no—
1641D4—164no—
1642D4—164no—
1643D4—164no—
1644D4—164no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—82no—
1735C2×C4—82no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—164no—
1742C2×C4—164no—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)14yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4#58512yes—
1752C2×C4#58512yes—
1753C2×C4#58512yes—
1754C22—41no—
1755C22—41no—
1756C22—42no—
1757C22—44no—
1758C22—44no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—41no—
1763C22—42no—
1764C22—44no—
1765C22—41no—
1766C22—44no—
1767C22—41no—
1768C22—41no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—44no—
1775C22—41no—
1776C22—42no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—44no—
1782C22—44no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—41no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—44no—
1795C22—44no—
1796C22C22×H(5,𝔽2)11yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C2×#58511yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—24no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—44no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—44no—
1820C4—41no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4#354214yes—
1831C4#354614yes—
1832C2—81no—
1833C2—81no—
1834C2—82no—
1835C2—84no—
1836C2—84no—
1837C2—82no—
1838C2C2×#354211yescharacteristic
1839C2C2×#354611yescharacteristic
1840C2#6283611yescharacteristic
1841C2#6291611yescharacteristic
1842C2#6295511yescharacteristic
1843C2#6296611yescharacteristic
1844C2#6301911yescharacteristic
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. #59443C2semidirect
2. #59033C2semidirect
3. #59033C2semidirect
4. #58275C2semidirect
5. #55581C2semidirect
6. #53514C2semidirect
7. #53063C2semidirect
8. #53059C2semidirect
9. #48180C2semidirect
10. #45604C2semidirect
11. #45524C2semidirect
12. #45026C2semidirect
13. #44895C2semidirect
14. #42876C2semidirect
15. #42876C2semidirect
16. #42595C2semidirect
17. #42547C2semidirect
18. #40145C2semidirect
19. #39865C2semidirect
20. #39823C2semidirect
21. #39386C2semidirect
22. #39351C2semidirect
23. #39138C2semidirect
24. #38941C2semidirect
25. #37699C2semidirect
26. #37616C2semidirect
27. #37332C2semidirect
28. #37301C2semidirect
29. #36455C2semidirect
30. #36128C2semidirect
31. #36128C2semidirect
32. #35190C2semidirect
33. #35170C2semidirect
34. #34917C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#594432
#590332
#582752
#555812
#535142
#530632
#530592
#481802
#456042
#455242
#450262
#448952
#428762
#425952
#425472
#401452
#398652
#398232
#393862
#393512
#391382
#389412
#376992
#376162
#373322
#373012
#364552
#361282
#351902
#351702
#349172
#347242