Finite Group Databasebeta

← #7688344

Subgroups — #7688344

Order 512.

5312 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C212yesmaximal, complemented
2#59894C212yesmaximal, complemented
3#59810C212yesmaximal, complemented
4#59647C212yesmaximal, complemented
5#59640C211yesmaximal, characteristic, complemented
6#59584C212yesmaximal, complemented
7#59308C212yesmaximal, complemented
8#59057C211yesmaximal, characteristic, complemented
9#59051C211yesmaximal, characteristic, complemented
10#44278C214yesmaximal, complemented
11#44262C214yesmaximal, complemented
12#44251C214yesmaximal, complemented
13#40104C212yesmaximal, complemented
14#40093C212yesmaximal, complemented
15#40009C212yesmaximal, complemented
16#39858C212yesmaximal, complemented
17#39525C212yesmaximal, complemented
18#39218C212yesmaximal, complemented
19#36544C211yesmaximal, characteristic, complemented
20#36502C212yesmaximal, complemented
21#36459C211yesmaximal, characteristic, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36392C212yesmaximal, complemented
25#36286C211yesmaximal, characteristic, complemented
26#36164C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#35769C214yesmaximal, complemented
29#34977C211yesmaximal, characteristic, complemented
30#34955C211yesmaximal, characteristic, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34330C212yesmaximal, complemented
33#34229C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×#548C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2860C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2855C2212yes—
53#2851C2212yes—
54#2850C2212yes—
55#2803C2214yes—
56#2803C2214yes—
57#2797C2214yes—
58#2797C2214yes—
59#2779C2214yes—
60#2778C2214yes—
61#2775C2214yes—
62#2772C2214yes—
63#2754C2214yes—
64#2753C2214yes—
65#2752C2214yes—
66#2751C2214yes—
67#2730C2214yes—
68#2723C2214yes—
69#2715C2214yes—
70#2714C2214yes—
71#2714C2214yes—
72#2696C2214yes—
73#2686C2214yes—
74#2673C2214yes—
75#2673C2214yes—
76#2665C2214yes—
77#2648C2214yes—
78#2631C2214yes—
79#2610C2214yes—
80#2610C2214yes—
81#2605C2214yes—
82#2600C2214yes—
83#2600C2214yes—
84#2598C2214yes—
85#2598C2214yes—
86#2597C2214yes—
87#2595C2214yes—
88#2593C2214yes—
89#2592C2212yes—
90#2592C2212yes—
91#2592C2212yes—
92#2591C2214yes—
93#2588C2214yes—
94#2584C2212yes—
95#2581C2212yes—
96#2580C2212yes—
97#2578C2214yes—
98#2577C2214yes—
99#2576C2214yes—
100#2576C2214yes—
101#2575C2214yes—
102#2572C2214yes—
103#2570C2212yes—
104#2568C2211yescharacteristic
105#2568C2211yescharacteristic
106#2567C2211yescharacteristic
107#2563C2211yescharacteristic
108#2560C2214yes—
109#2555C2214yes—
110#2554C2214yes—
111#2552C2211yescharacteristic
112#2548C2212yes—
113#2548C2211yescharacteristic
114#2548C2211yescharacteristic
115#2544C2212yes—
116#2544C2214yes—
117#2543C2214yes—
118#2541C2211yescharacteristic
119#2541C2211yescharacteristic
120#2541C2212yes—
121#2540C2212yes—
122#2538C2211yescharacteristic
123#2535C2212yes—
124#2532C2214yes—
125#2531C2214yes—
126#2528C2214yes—
127#2518C2214yes—
128#2516C2214yes—
129#2514C2212yes—
130#2513C2214yes—
131#2512C2212yes—
132#2511C2212yes—
133#2510C2214yes—
134#2504C2212yes—
135#2504C2212yes—
136#2503C2212yes—
137#2500C2212yes—
138#2500C2212yes—
139#2499C2212yes—
140#2496C2212yes—
141#2495C2212yes—
142#2494C2212yes—
143#2491C2212yes—
144#2490C2212yes—
145#2490C2212yes—
146#2490C2212yes—
147#2489C2212yes—
148#2489C2212yes—
149#2489C2212yes—
150#2488C2214yes—
151#2488C2214yes—
152#2485C2212yes—
153#2476C2214yes—
154#2470C2214yes—
155#2468C2214yes—
156#2467C2214yes—
157#2465C2214yes—
158#2459C2214yes—
159#2459C2214yes—
160#2457C2214yes—
161#2456C2214yes—
162#2454C2212yes—
163#2451C2212yes—
164#2449C2214yes—
165#2447C2212yes—
166#2447C2212yes—
167#2447C2214yes—
168#2445C2212yes—
169#2444C2214yes—
170#2436C2212yes—
171#2431C2212yes—
172#2431C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2423C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2416C2212yes—
186#2416C2212yes—
187#2415C2212yes—
188#2414C2212yes—
189#2414C2212yes—
190#2409C2212yes—
191#2407C2212yes—
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2407C2214yes—
197#2398C2214yes—
198#2392C2214yes—
199#2388C2214yes—
200#2372C2212yes—
201#2372C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2367C2211yescharacteristic
205#2367C2212yes—
206#2366C2212yes—
207#2366C2214yes—
208#2365C2211yescharacteristic
209#2364C2214yes—
210#2364C2214yes—
211#2363C2211yescharacteristic
212#2363C2212yes—
213#2363C2211yescharacteristic
214#2363C2212yes—
215#2362C2212yes—
216#2362C2211yescharacteristic
217#2362C2212yes—
218#2361C2212yes—
219#2361C2211yescharacteristic
220#2361C2212yes—
221#2361C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2359C2214yes—
225#2359C2214yes—
226#2357C2214yes—
227#2357C2212yes—
228#2356C2212yes—
229#2355C2212yes—
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2353C2214yes—
237#2352C2212yes—
238#2352C2211yescharacteristic
239#2352C2212yes—
240#2351C2211yescharacteristic
241#2349C2212yes—
242D4×C4⋊C4C2212yes—
243#2347C2212yes—
244#2346C2211yescharacteristic
245#2346C2212yes—
246#2346C2211yescharacteristic
247#2346C2214yes—
248#2343C2214yes—
249#2341C2211yescharacteristic
250Q8×C22⋊C4C2211yescharacteristic
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2339C2212yes—
255#2334C2214yes—
256#2334C2214yes—
257#2333C2214yes—
258#2333C2214yes—
259#2328C2214yes—
260#2318C2214yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2212yes—
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2212yes—
286#2297C2212yes—
287#2297C2212yes—
288#2295C2212yes—
289#2293C2212yes—
290C2×#382C2212yes—
291#2275C2214yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304#555—28no—
305#554—44no—
306#550—216no—
307#548—28no—
308#547—44no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2314yes—
317C2×#127C2312yes—
318#529—216no—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C4×#41—44no—
360C2×C4×Q8—44no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—82no—
832C22×Q8—24no—
833C22×Q8—42no—
834C22×Q8—42no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880#127—28no—
881#127—216no—
882#127—24no—
883#127—44no—
884#126—216no—
885#126—84no—
886#125—28no—
887#125—44no—
888#124—28no—
889#124—28no—
890#124—28no—
891#124—24no—
892#124—28no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—84no—
897#123—216no—
898#123—48no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—82no—
907#121—216no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—28no—
914#121—216no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—84no—
923#121#4118yescomplemented
924C4×Q8—28no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×Q8#4118yescomplemented
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—216no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—84no—
962C4×D4—84no—
963C4×D4—82no—
964C4×D4—84no—
965#117—24no—
966#117—24no—
967#117—28no—
968#117—216no—
969#117—44no—
970#117—44no—
971#117—42no—
972#117—44no—
973#117—42no—
974#117—42no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—28no—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2411yescharacteristic
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2514yes—
1206C24C2511yescharacteristic
1207C24C2512yes—
1208C24C2512yes—
1209C24C2511yescharacteristic
1210#41—416no—
1211#41—816no—
1212#41—816no—
1213#41—816no—
1214C2×Q8—24no—
1215C2×Q8—24no—
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—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—416no—
1232C2×Q8C2×#4114yes—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—41no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
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—44no—
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—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4C2×#4114yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4C2×#4114yes—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4118yes—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—41no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4C2×#4118yes—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—28no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—24no—
1506C42—24no—
1507C42—22no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—42no—
1516C42—42no—
1517C42—44no—
1518C42—41no—
1519C42—42no—
1520C42—41no—
1521C42—42no—
1522C42—44no—
1523C42—42no—
1524C42—42no—
1525C42C2×#4114yes—
1526C42C2×#4118yes—
1527C42H(5,𝔽2)14yes—
1528C23—22no—
1529C23—21no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—24no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23—24no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—24no—
1552C23—21no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—21no—
1561C23C22×#4112yes—
1562C23C22×#4114yes—
1563C23C2611yescharacteristic
1564Q8—28no—
1565Q8—48no—
1566Q8—44no—
1567Q8—48no—
1568Q8—84no—
1569Q8—84no—
1570D4—28no—
1571D4—48no—
1572D4—44no—
1573D4—416no—
1574D4—48no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—88no—
1581D4—88no—
1582D4—84no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—28no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—48no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—84no—
1676C2×C4—82no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—164no—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4114yes—
1687C2×C4C22×#4114yes—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4112yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4#58512yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—22no—
1697C22—24no—
1698C22—22no—
1699C22—24no—
1700C22—24no—
1701C22—22no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—41no—
1713C22—44no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—44no—
1719C22—42no—
1720C22—44no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—44no—
1725C22—41no—
1726C22—44no—
1727C22—42no—
1728C22—44no—
1729C22—41no—
1730C22—42no—
1731C22C23×#4111yescharacteristic
1732C22C23×#4111yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22C2×#58511yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—24no—
1739C4—22no—
1740C4—24no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—24no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—44no—
1751C4—42no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—42no—
1760C4—44no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—44no—
1765C4—42no—
1766C4#350614yes—
1767C4#351414yes—
1768C2—42no—
1769C2—44no—
1770C2—84no—
1771C2—82no—
1772C2—81no—
1773C2#41211yescharacteristic
1774C2C2×#350611yescharacteristic
1775C2C2×#351411yescharacteristic
1776C2#6292411yescharacteristic
1777C2#6299211yescharacteristic
1778C2#6300611yescharacteristic
1779C2#6303111yescharacteristic
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. #59905C2semidirect
2. #59894C2semidirect
3. #59810C2semidirect
4. #59647C2semidirect
5. #59640C2semidirect
6. #59584C2semidirect
7. #59308C2semidirect
8. #59057C2semidirect
9. #59051C2semidirect
10. #44278C2semidirect
11. #44262C2semidirect
12. #44251C2semidirect
13. #40104C2semidirect
14. #40093C2semidirect
15. #40009C2semidirect
16. #39858C2semidirect
17. #39525C2semidirect
18. #39218C2semidirect
19. #36544C2semidirect
20. #36502C2semidirect
21. #36459C2semidirect
22. #36450C2semidirect
23. #36404C2semidirect
24. #36392C2semidirect
25. #36286C2semidirect
26. #36164C2semidirect
27. #36149C2semidirect
28. #35769C2semidirect
29. #34977C2semidirect
30. #34955C2semidirect
31. #34934C2semidirect
32. #34330C2semidirect
33. #34229C2semidirect
34. C4×#555C2semidirect
35. C4×#548C2semidirect
923. #121#41semidirect
934. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599052
#598942
#598102
#596472
#596402
#595842
#593082
#590572
#590512
#442782
#442622
#442512
#401042
#400932
#400092
#398582
#395252
#392182
#365442
#365022
#364592
#364502
#364042
#363922
#362862
#361642
#361492
#357692
#349772
#349552
#349342
#343302
#342292
C4×#5552
C4×#5482