Finite Group Databasebeta

← #7986687

Subgroups — #7986687

Order 512.

5196 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59544C212yesmaximal, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59061C212yesmaximal, complemented
5#59051C211yesmaximal, characteristic, complemented
6#50476C214yesmaximal, complemented
7#50221C214yesmaximal, complemented
8#46048C212yesmaximal, complemented
9#45616C212yesmaximal, complemented
10#45386C212yesmaximal, complemented
11#45368C212yesmaximal, complemented
12#43074C214yesmaximal, complemented
13#42762C212yesmaximal, complemented
14#42505C212yesmaximal, complemented
15#41141C214yesmaximal, complemented
16#40145C212yesmaximal, complemented
17#39858C212yesmaximal, complemented
18#39596C211yesmaximal, characteristic, complemented
19#39525C212yesmaximal, complemented
20#39010C212yesmaximal, complemented
21#38908C211yesmaximal, characteristic, complemented
22#38200C212yesmaximal, complemented
23#36450C211yesmaximal, characteristic, complemented
24#36313C211yesmaximal, characteristic, complemented
25#36303C211yesmaximal, characteristic, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36116C211yesmaximal, characteristic, complemented
28#36115C212yesmaximal, complemented
29#35191C211yesmaximal, characteristic, complemented
30#35180C211yesmaximal, characteristic, complemented
31#35030C212yesmaximal, complemented
32#34934C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34494C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#550C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2212yes—
45C2×#529C2212yes—
46C2×#529C2211yescharacteristic
47#2863C2212yes—
48#2863C2212yes—
49#2862C2211yescharacteristic
50#2861C2212yes—
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2850C2212yes—
56#2850C2212yes—
57#2850C2212yes—
58#2830C2214yes—
59#2826C2214yes—
60#2797C2214yes—
61#2797C2214yes—
62#2795C2214yes—
63#2790C2214yes—
64#2784C2214yes—
65#2778C2214yes—
66#2770C2214yes—
67#2760C2214yes—
68#2752C2214yes—
69#2751C2214yes—
70#2751C2214yes—
71#2749C2214yes—
72#2746C2214yes—
73#2746C2214yes—
74#2739C2214yes—
75#2737C2214yes—
76#2737C2214yes—
77#2737C2214yes—
78#2723C2214yes—
79#2720C2214yes—
80#2715C2214yes—
81#2714C2214yes—
82#2703C2214yes—
83#2699C2214yes—
84#2698C2214yes—
85#2696C2214yes—
86#2695C2214yes—
87#2693C2214yes—
88#2692C2214yes—
89#2691C2214yes—
90#2676C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2661C2214yes—
94#2653C2214yes—
95#2650C2214yes—
96#2650C2214yes—
97#2639C2214yes—
98#2631C2214yes—
99#2631C2214yes—
100#2628C2212yes—
101#2625C2212yes—
102#2610C2214yes—
103#2603C2214yes—
104#2600C2214yes—
105#2598C2214yes—
106#2592C2212yes—
107#2592C2212yes—
108#2580C2212yes—
109#2577C2214yes—
110#2574C2214yes—
111#2572C2214yes—
112#2568C2211yescharacteristic
113#2568C2211yescharacteristic
114#2567C2212yes—
115#2563C2212yes—
116#2562C2214yes—
117#2560C2212yes—
118#2558C2212yes—
119#2554C2214yes—
120#2552C2211yescharacteristic
121#2550C2211yescharacteristic
122#2548C2211yescharacteristic
123#2548C2211yescharacteristic
124#2547C2211yescharacteristic
125#2547C2212yes—
126#2546C2211yescharacteristic
127#2545C2211yescharacteristic
128#2544C2212yes—
129#2542C2212yes—
130#2541C2212yes—
131#2541C2211yescharacteristic
132#2541C2211yescharacteristic
133#2540C2211yescharacteristic
134#2538C2211yescharacteristic
135#2536C2211yescharacteristic
136#2535C2212yes—
137#2535C2212yes—
138#2532C2214yes—
139#2528C2214yes—
140#2528C2214yes—
141#2524C2214yes—
142#2519C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2512C2214yes—
149#2510C2214yes—
150#2510C2214yes—
151#2504C2212yes—
152#2503C2212yes—
153#2499C2212yes—
154#2496C2212yes—
155#2494C2212yes—
156#2492C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2491C2212yes—
160#2491C2211yescharacteristic
161#2490C2212yes—
162#2490C2212yes—
163#2489C2212yes—
164#2489C2211yescharacteristic
165#2488C2214yes—
166#2488C2214yes—
167#2486C2212yes—
168#2478C2214yes—
169#2474C2214yes—
170#2471C2214yes—
171#2471C2214yes—
172#2468C2214yes—
173#2467C2214yes—
174#2467C2214yes—
175#2463C2214yes—
176#2461C2212yes—
177#2459C2214yes—
178#2456C2214yes—
179#2453C2212yes—
180#2453C2212yes—
181#2452C2212yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2446C2212yes—
187#2445C2214yes—
188#2445C2212yes—
189#2444C2214yes—
190#2444C2214yes—
191#2442C2212yes—
192#2438C2214yes—
193#2436C2212yes—
194#2436C2212yes—
195#2434C2212yes—
196#2432C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2429C2211yescharacteristic
200#2428C2212yes—
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2211yescharacteristic
207#2426C2212yes—
208#2426C2212yes—
209#2425C2214yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2419C2214yes—
214#2419C2214yes—
215#2417C2212yes—
216#2417C2212yes—
217#2416C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2409C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2396C2212yes—
227#2392C2212yes—
228#2392C2214yes—
229#2377C2214yes—
230#2377C2214yes—
231#2374C2212yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2366C2214yes—
235#2366C2212yes—
236#2366C2212yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2364C2212yes—
241#2363C2211yescharacteristic
242#2362C2212yes—
243#2361C2212yes—
244#2361C2211yescharacteristic
245#2361C2212yes—
246#2357C2211yescharacteristic
247#2356C2212yes—
248#2355C2212yes—
249#2355C2211yescharacteristic
250#2354C2214yes—
251#2353C2212yes—
252#2352C2211yescharacteristic
253#2349C2212yes—
254#2349C2214yes—
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2347C2211yescharacteristic
258#2345C2211yescharacteristic
259#2344C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2339C2212yes—
263#2339C2212yes—
264#2328C2214yes—
265#2325C2214yes—
266#2325C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2319C2214yes—
271#2318C2214yes—
272#2311C2212yes—
273#2311C2212yes—
274#2311C2212yes—
275C4×#127C2211yescharacteristic
276C4×#127C2212yes—
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#124C2212yes—
281C4×#124C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2295C2212yes—
290C2×#391C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#553—28no—
304#550—216no—
305D4×Q8—44no—
306#548—48no—
307#547—44no—
308#533—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2314yes—
320C2×#127C2312yes—
321#529—44no—
322#529—48no—
323#529—48no—
324C2×#126C2312yes—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2311yescharacteristic
415C2×#117C2314yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424#401C2314yes—
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2314yes—
716#383C2312yes—
717#383C2314yes—
718#383C2314yes—
719#383C2314yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—42no—
880#127—28no—
881#127—216no—
882#127—24no—
883#127—44no—
884#126—28no—
885#126—44no—
886#126—48no—
887#126—48no—
888#125—24no—
889#125—28no—
890#125—42no—
891#125—44no—
892#124—44no—
893#124—48no—
894#124—42no—
895#124—42no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—44no—
901#123—28no—
902#123—48no—
903#123—44no—
904#123—48no—
905#123—48no—
906C22⋊Q8—24no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918#121—216no—
919#121—24no—
920#121—28no—
921#121—28no—
922#121—24no—
923#121—28no—
924#121—216no—
925#121—48no—
926#121—44no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121#4118yescomplemented
935C4×Q8—28no—
936C4×Q8—24no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—44no—
941C4×Q8—42no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—216no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—42no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—48no—
970#117—24no—
971#117—44no—
972#117—44no—
973#117—48no—
974#117—48no—
975#117—42no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—44no—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206C24C2511yescharacteristic
1207C24C2512yes—
1208C24C2514yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211#41—816no—
1212#41—816no—
1213#41—816no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—42no—
1232C2×Q8—816no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4C2×#4114yes—
1283C2×D4C2×#4118yes—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4C2×#4114yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4C2×#4114yes—
1425C4⋊C4H(5,𝔽2)14yes—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4C2×#4118yes—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—28no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—28no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—22no—
1511C42—24no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—41no—
1518C42—42no—
1519C42—42no—
1520C42—44no—
1521C42—42no—
1522C42—42no—
1523C42H(5,𝔽2)14yes—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—24no—
1539C23—21no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—21no—
1548C23—24no—
1549C23—24no—
1550C23—22no—
1551C23—21no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—22no—
1556C23—21no—
1557C23C22×#4112yes—
1558C23C22×#4114yes—
1559C23C2611yescharacteristic
1560Q8—48no—
1561Q8—44no—
1562Q8—44no—
1563Q8—48no—
1564Q8—84no—
1565Q8—88no—
1566D4—28no—
1567D4—48no—
1568D4—48no—
1569D4—416no—
1570D4—48no—
1571D4—44no—
1572D4—48no—
1573D4—44no—
1574D4—48no—
1575D4—88no—
1576D4—84no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—84no—
1581D4—88no—
1582D4—164no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—48no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—82no—
1671C2×C4—82no—
1672C2×C4—88no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—88no—
1676C2×C4—84no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4C22×#4114yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C2×H(5,𝔽2)14yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4#58512yes—
1689C2×C4#58512yes—
1690C2×C4#58512yes—
1691C22—22no—
1692C22—24no—
1693C22—22no—
1694C22—24no—
1695C22—22no—
1696C22—24no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—41no—
1708C22—41no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—41no—
1714C22—42no—
1715C22—41no—
1716C22—44no—
1717C22—41no—
1718C22—42no—
1719C22—44no—
1720C22—41no—
1721C22—44no—
1722C22—42no—
1723C22—42no—
1724C22—44no—
1725C22—41no—
1726C22C23×#4111yescharacteristic
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C222−1+611yescharacteristic
1733C4—24no—
1734C4—22no—
1735C4—22no—
1736C4—24no—
1737C4—22no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—44no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—44no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—44no—
1753C4—41no—
1754C4—42no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—42no—
1761C4#351414yes—
1762C4#354614yes—
1763C2—42no—
1764C2—44no—
1765C2—84no—
1766C2—82no—
1767C2—81no—
1768C2C2×#354611yescharacteristic
1769C2C2×#351411yescharacteristic
1770C2#6278111yescharacteristic
1771C2#6292511yescharacteristic
1772C2#6296811yescharacteristic
1773C2#6298511yescharacteristic
1774C2#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. #59647C2semidirect
2. #59544C2semidirect
3. #59080C2semidirect
4. #59061C2semidirect
5. #59051C2semidirect
6. #50476C2semidirect
7. #50221C2semidirect
8. #46048C2semidirect
9. #45616C2semidirect
10. #45386C2semidirect
11. #45368C2semidirect
12. #43074C2semidirect
13. #42762C2semidirect
14. #42505C2semidirect
15. #41141C2semidirect
16. #40145C2semidirect
17. #39858C2semidirect
18. #39596C2semidirect
19. #39525C2semidirect
20. #39010C2semidirect
21. #38908C2semidirect
22. #38200C2semidirect
23. #36450C2semidirect
24. #36313C2semidirect
25. #36303C2semidirect
26. #36149C2semidirect
27. #36116C2semidirect
28. #36115C2semidirect
29. #35191C2semidirect
30. #35180C2semidirect
31. #35030C2semidirect
32. #34934C2semidirect
33. #34919C2semidirect
34. #34494C2semidirect
35. C4×#553C2semidirect
934. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596472
#595442
#590802
#590612
#590512
#504762
#502212
#460482
#456162
#453862
#453682
#430742
#427622
#425052
#411412
#401452
#398582
#395962
#395252
#390102
#389082
#382002
#364502
#363132
#363032
#361492
#361162
#361152
#351912
#351802
#350302
#349342
#349192
#344942
C4×#5532