Finite Group Databasebeta

← #7979675

Subgroups — #7979675

Order 512.

5241 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59475C212yesmaximal, complemented
3#59435C211yesmaximal, characteristic, complemented
4#59039C211yesmaximal, characteristic, complemented
5#59034C211yesmaximal, characteristic, complemented
6#51394C214yesmaximal, complemented
7#51190C214yesmaximal, complemented
8#45608C212yesmaximal, complemented
9#45603C212yesmaximal, complemented
10#45020C212yesmaximal, complemented
11#44944C212yesmaximal, complemented
12#44142C214yesmaximal, complemented
13#42613C212yesmaximal, complemented
14#42607C212yesmaximal, complemented
15#42026C214yesmaximal, complemented
16#39958C212yesmaximal, complemented
17#39864C212yesmaximal, complemented
18#39854C212yesmaximal, complemented
19#39790C212yesmaximal, complemented
20#38987C211yesmaximal, characteristic, complemented
21#38920C211yesmaximal, characteristic, complemented
22#38129C212yesmaximal, complemented
23#36576C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36150C212yesmaximal, complemented
27#36133C211yesmaximal, characteristic, complemented
28#36125C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35196C212yesmaximal, complemented
31#35177C211yesmaximal, characteristic, complemented
32#34953C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34467C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#533C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2856C2212yes—
52#2856C2212yes—
53#2856C2211yescharacteristic
54#2855C2212yes—
55#2855C2212yes—
56#2850C2212yes—
57#2850C2212yes—
58#2831C2214yes—
59#2829C2214yes—
60#2803C2214yes—
61#2786C2214yes—
62#2781C2214yes—
63#2780C2214yes—
64#2780C2214yes—
65#2779C2214yes—
66#2775C2214yes—
67#2768C2214yes—
68#2757C2214yes—
69#2740C2214yes—
70#2739C2214yes—
71#2720C2214yes—
72#2718C2214yes—
73#2715C2214yes—
74#2714C2214yes—
75#2711C2214yes—
76#2710C2214yes—
77#2708C2214yes—
78#2706C2214yes—
79#2699C2214yes—
80#2696C2214yes—
81#2692C2214yes—
82#2691C2214yes—
83#2688C2214yes—
84#2688C2214yes—
85#2687C2214yes—
86#2686C2214yes—
87#2686C2214yes—
88#2686C2214yes—
89#2676C2214yes—
90#2675C2214yes—
91#2672C2214yes—
92#2671C2214yes—
93#2665C2214yes—
94#2662C2214yes—
95#2662C2214yes—
96#2649C2214yes—
97#2649C2214yes—
98#2644C2212yes—
99#2638C2214yes—
100#2632C2214yes—
101#2624C2212yes—
102#2610C2214yes—
103#2610C2214yes—
104#2604C2214yes—
105#2601C2214yes—
106#2600C2214yes—
107#2598C2214yes—
108#2597C2214yes—
109#2595C2214yes—
110#2584C2212yes—
111#2584C2212yes—
112#2583C2214yes—
113#2573C2214yes—
114#2571C2212yes—
115#2567C2211yescharacteristic
116#2567C2211yescharacteristic
117#2566C2212yes—
118#2564C2214yes—
119#2563C2211yescharacteristic
120#2563C2211yescharacteristic
121#2555C2214yes—
122#2554C2214yes—
123#2551C2211yescharacteristic
124#2548C2211yescharacteristic
125#2548C2212yes—
126#2547C2212yes—
127#2546C2211yescharacteristic
128#2546C2211yescharacteristic
129#2545C2212yes—
130#2544C2212yes—
131#2542C2212yes—
132#2541C2211yescharacteristic
133#2540C2214yes—
134#2540C2212yes—
135#2538C2211yescharacteristic
136#2538C2212yes—
137#2537C2212yes—
138#2536C2212yes—
139#2526C2214yes—
140#2516C2214yes—
141#2516C2214yes—
142#2513C2212yes—
143#2512C2212yes—
144#2509C2212yes—
145#2506C2212yes—
146#2505C2214yes—
147#2502C2212yes—
148#2497C2212yes—
149#2497C2214yes—
150#2496C2212yes—
151#2495C2212yes—
152#2492C2212yes—
153#2491C2212yes—
154#2491C2212yes—
155#2490C2214yes—
156#2490C2212yes—
157#2490C2212yes—
158#2489C2212yes—
159#2487C2212yes—
160#2481C2212yes—
161#2469C2212yes—
162#2465C2214yes—
163#2464C2214yes—
164#2464C2214yes—
165#2462C2214yes—
166#2458C2214yes—
167#2458C2212yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2214yes—
171#2453C2211yescharacteristic
172#2452C2212yes—
173#2451C2212yes—
174#2448C2212yes—
175#2448C2212yes—
176#2448C2212yes—
177#2448C2211yescharacteristic
178#2447C2212yes—
179#2446C2212yes—
180#2445C2212yes—
181#2443C2212yes—
182#2442C2211yescharacteristic
183#2442C2212yes—
184#2441C2212yes—
185#2440C2212yes—
186#2438C2214yes—
187#2436C2211yescharacteristic
188#2434C2212yes—
189#2432C2212yes—
190#2432C2212yes—
191#2431C2212yes—
192#2430C2214yes—
193#2430C2214yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2427C2212yes—
199#2427C2214yes—
200#2426C2214yes—
201#2426C2212yes—
202#2426C2211yescharacteristic
203#2426C2214yes—
204#2426C2212yes—
205#2426C2212yes—
206#2422C2212yes—
207#2421C2212yes—
208#2421C2211yescharacteristic
209#2420C2212yes—
210#2420C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2211yescharacteristic
214#2416C2212yes—
215#2416C2214yes—
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2214yes—
220#2414C2212yes—
221#2409C2211yescharacteristic
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2399C2214yes—
227#2398C2212yes—
228#2396C2212yes—
229#2379C2214yes—
230#2377C2214yes—
231#2374C2212yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2367C2214yes—
235#2367C2212yes—
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2364C2212yes—
240#2363C2214yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2361C2211yescharacteristic
247#2357C2211yescharacteristic
248#2356C2212yes—
249#2354C2211yescharacteristic
250#2353C2212yes—
251#2352C2211yescharacteristic
252#2352C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255#2347C2211yescharacteristic
256#2346C2212yes—
257#2345C2211yescharacteristic
258#2344C2212yes—
259#2343C2214yes—
260#2341C2212yes—
261#2341C2212yes—
262#2341C2212yes—
263#2339C2212yes—
264#2337C2214yes—
265#2331C2212yes—
266#2326C2214yes—
267#2325C2214yes—
268#2324C2214yes—
269#2324C2212yes—
270#2324C2212yes—
271#2319C2212yes—
272#2319C2212yes—
273#2317C2212yes—
274#2314C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2296C2212yes—
290#2296C2212yes—
291#2295C2211yescharacteristic
292#2293C2212yes—
293#2290C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303#555—216no—
304#553—28no—
305#550—44no—
306#548—48no—
307#547—44no—
308#533—44no—
309#533—48no—
310#532—44no—
311#532—48no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×C4×Q8—44no—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2314yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
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#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2314yes—
724#384C2312yes—
725#383C2312yes—
726#383C2314yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—82no—
830C22×Q8—24no—
831C22×Q8—42no—
832C22×Q8—42no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—28no—
875C4⋊Q8—28no—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880#127—24no—
881#127—44no—
882#127—44no—
883#126—28no—
884#126—44no—
885#126—84no—
886#125—24no—
887#125—42no—
888#125—44no—
889#125—48no—
890#124—24no—
891#124—216no—
892#124—216no—
893#124—44no—
894#124—42no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—48no—
899#124—84no—
900#123—28no—
901#123—48no—
902#123—44no—
903#123—84no—
904C22⋊Q8—24no—
905C22⋊Q8—48no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—84no—
914#121—24no—
915#121—28no—
916#121—24no—
917#121—28no—
918#121—28no—
919#121—28no—
920#121—216no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—44no—
925#121—48no—
926#121—42no—
927#121—42no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—48no—
935#121—84no—
936#121—84no—
937#121—82no—
938C4×Q8—28no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—48no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×Q8—82no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—42no—
971#117—28no—
972#117—24no—
973#117—216no—
974#117—44no—
975#117—48no—
976#117—44no—
977#117#4118yescomplemented
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C42—24no—
1110C2×C42—24no—
1111C2×C42—44no—
1112C2×C42—44no—
1113C2×C42—44no—
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24C2512yes—
1211C24C2512yes—
1212C24C2514yes—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—816no—
1216#41—816no—
1217#41—816no—
1218C2×Q8—28no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—416no—
1236C2×Q8H(5,𝔽2)14yes—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—42no—
1263C2×D4—41no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—28no—
1315C22×C4—24no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—41no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2×#4114yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4C2×#4114yes—
1432C4⋊C4C2×#4114yes—
1433C4⋊C42−1+414yes—
1434C22⋊C4—22no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—41no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4C2×#4118yes—
1498C42—28no—
1499C42—22no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—28no—
1513C42—24no—
1514C42—22no—
1515C42—24no—
1516C42—22no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—42no—
1523C42—44no—
1524C42—44no—
1525C42—42no—
1526C42—41no—
1527C42—41no—
1528C42—44no—
1529C42—42no—
1530C42C2×#4118yes—
1531C42H(5,𝔽2)14yes—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23C22×#4112yes—
1566C23#58512yes—
1567C23C2611yescharacteristic
1568Q8—28no—
1569Q8—48no—
1570Q8—48no—
1571Q8—44no—
1572Q8—48no—
1573Q8—88no—
1574D4—48no—
1575D4—44no—
1576D4—44no—
1577D4—48no—
1578D4—48no—
1579D4—44no—
1580D4—88no—
1581D4—88no—
1582D4—84no—
1583D4—88no—
1584D4—84no—
1585D4—88no—
1586D4—84no—
1587D4—84no—
1588D4—88no—
1589D4—88no—
1590D4—164no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—28no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—48no—
1671C2×C4—44no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—48no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—82no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—88no—
1687C2×C4C22×#4114yes—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4114yes—
1690C2×C4C22×#4112yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)14yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×2−1+414yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4#58512yes—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—42no—
1720C22—42no—
1721C22—44no—
1722C22—44no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22C23×#4111yescharacteristic
1735C22C22×H(5,𝔽2)11yescharacteristic
1736C22C22×H(5,𝔽2)11yescharacteristic
1737C22C22×2−1+411yescharacteristic
1738C22C2×#58511yescharacteristic
1739C22C2×#58511yescharacteristic
1740C22H(7,𝔽2)11yescharacteristic
1741C4—24no—
1742C4—24no—
1743C4—22no—
1744C4—24no—
1745C4—22no—
1746C4—24no—
1747C4—41no—
1748C4—42no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4—41no—
1755C4—42no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—44no—
1761C4—42no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4#351114yes—
1770C4#354214yes—
1771C2—42no—
1772C2—42no—
1773C2—82no—
1774C2—82no—
1775C2—84no—
1776C2C2×#354211yescharacteristic
1777C2C2×#351111yescharacteristic
1778C2#6281611yescharacteristic
1779C2#6292411yescharacteristic
1780C2#6295211yescharacteristic
1781C2#6298611yescharacteristic
1782C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59860C2semidirect
2. #59475C2semidirect
3. #59435C2semidirect
4. #59039C2semidirect
5. #59034C2semidirect
6. #51394C2semidirect
7. #51190C2semidirect
8. #45608C2semidirect
9. #45603C2semidirect
10. #45020C2semidirect
11. #44944C2semidirect
12. #44142C2semidirect
13. #42613C2semidirect
14. #42607C2semidirect
15. #42026C2semidirect
16. #39958C2semidirect
17. #39864C2semidirect
18. #39854C2semidirect
19. #39790C2semidirect
20. #38987C2semidirect
21. #38920C2semidirect
22. #38129C2semidirect
23. #36576C2semidirect
24. #36273C2semidirect
25. #36150C2semidirect
26. #36150C2semidirect
27. #36133C2semidirect
28. #36125C2semidirect
29. #35238C2semidirect
30. #35196C2semidirect
31. #35177C2semidirect
32. #34953C2semidirect
33. #34708C2semidirect
34. #34467C2semidirect
35. C4×#553C2semidirect
977. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598602
#594752
#594352
#590392
#590342
#513942
#511902
#456082
#456032
#450202
#449442
#441422
#426132
#426072
#420262
#399582
#398642
#398542
#397902
#389872
#389202
#381292
#365762
#362732
#361502
#361332
#361252
#352382
#351962
#351772
#349532
#347082
#344672
C4×#5532