Finite Group Databasebeta

← #7688580

Subgroups — #7688580

Order 512.

5481 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59584C212yesmaximal, complemented
2#59479C212yesmaximal, complemented
3#59474C212yesmaximal, complemented
4#59419C211yesmaximal, characteristic, complemented
5#59413C211yesmaximal, characteristic, complemented
6#59410C211yesmaximal, characteristic, complemented
7#59145C212yesmaximal, complemented
8#59104C212yesmaximal, complemented
9#59061C212yesmaximal, complemented
10#44698C214yesmaximal, complemented
11#44302C214yesmaximal, complemented
12#44032C214yesmaximal, complemented
13#40170C212yesmaximal, complemented
14#40153C212yesmaximal, complemented
15#39954C212yesmaximal, complemented
16#39903C212yesmaximal, complemented
17#39790C212yesmaximal, complemented
18#38998C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36583C211yesmaximal, characteristic, complemented
21#36508C211yesmaximal, characteristic, complemented
22#36465C211yesmaximal, characteristic, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36373C212yesmaximal, complemented
25#36303C211yesmaximal, characteristic, complemented
26#36136C212yesmaximal, complemented
27#36125C211yesmaximal, characteristic, complemented
28#35811C214yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34327C212yesmaximal, complemented
33#34226C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2212yes—
44C2×#548C2212yes—
45C2×#547C2211yescharacteristic
46C2×#532C2212yes—
47C2×#529C2212yes—
48C2×#529C2212yes—
49#2862C2211yescharacteristic
50#2861C2212yes—
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2212yes—
54#2858C2212yes—
55#2850C2212yes—
56#2850C2212yes—
57#2850C2212yes—
58#2803C2214yes—
59#2780C2214yes—
60#2754C2214yes—
61#2752C2214yes—
62#2752C2214yes—
63#2749C2214yes—
64#2741C2214yes—
65#2740C2214yes—
66#2738C2214yes—
67#2723C2214yes—
68#2715C2214yes—
69#2714C2214yes—
70#2710C2214yes—
71#2705C2214yes—
72#2704C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2699C2214yes—
76#2698C2214yes—
77#2692C2214yes—
78#2676C2214yes—
79#2662C2214yes—
80#2654C2214yes—
81#2635C2214yes—
82#2610C2214yes—
83#2603C2214yes—
84#2597C2214yes—
85#2593C2214yes—
86#2592C2212yes—
87#2592C2212yes—
88#2585C2214yes—
89#2582C2211yescharacteristic
90#2580C2212yes—
91#2575C2214yes—
92#2568C2211yescharacteristic
93#2565C2212yes—
94#2560C2214yes—
95#2559C2214yes—
96#2559C2214yes—
97#2556C2214yes—
98#2554C2214yes—
99#2554C2214yes—
100#2554C2214yes—
101#2554C2214yes—
102#2553C2214yes—
103#2552C2211yescharacteristic
104#2550C2212yes—
105#2548C2211yescharacteristic
106#2548C2212yes—
107#2547C2212yes—
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic
110#2545C2212yes—
111#2544C2212yes—
112#2544C2212yes—
113#2543C2214yes—
114#2542C2212yes—
115#2542C2211yescharacteristic
116#2541C2212yes—
117#2541C2211yescharacteristic
118#2540C2214yes—
119#2540C2212yes—
120#2540C2212yes—
121#2540C2212yes—
122#2540C2214yes—
123#2538C2211yescharacteristic
124#2537C2211yescharacteristic
125#2526C2214yes—
126#2519C2214yes—
127#2519C2214yes—
128#2516C2214yes—
129#2516C2214yes—
130#2513C2212yes—
131#2513C2212yes—
132#2512C2212yes—
133#2511C2212yes—
134#2509C2212yes—
135#2503C2212yes—
136#2500C2212yes—
137#2496C2212yes—
138#2492C2212yes—
139#2492C2212yes—
140#2490C2214yes—
141#2490C2212yes—
142#2490C2212yes—
143#2490C2214yes—
144#2490C2212yes—
145#2489C2212yes—
146#2488C2214yes—
147#2488C2214yes—
148#2479C2214yes—
149#2479C2214yes—
150#2477C2214yes—
151#2476C2214yes—
152#2474C2214yes—
153#2467C2214yes—
154#2464C2214yes—
155#2464C2214yes—
156#2464C2214yes—
157#2459C2214yes—
158#2459C2214yes—
159#2457C2214yes—
160#2456C2214yes—
161#2456C2214yes—
162#2454C2212yes—
163#2453C2212yes—
164#2451C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2445C2212yes—
171#2444C2214yes—
172#2438C2214yes—
173#2436C2212yes—
174#2434C2212yes—
175#2432C2212yes—
176#2432C2212yes—
177#2431C2212yes—
178#2431C2212yes—
179#2431C2212yes—
180#2431C2212yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2428C2212yes—
185#2428C2212yes—
186#2428C2212yes—
187#2428C2212yes—
188#2427C2212yes—
189#2426C2212yes—
190#2426C2212yes—
191#2425C2214yes—
192#2423C2212yes—
193#2423C2212yes—
194#2422C2212yes—
195#2420C2212yes—
196#2420C2212yes—
197#2419C2214yes—
198#2417C2212yes—
199#2414C2212yes—
200#2402C2214yes—
201#2395C2214yes—
202#2392C2214yes—
203#2374C2212yes—
204#2374C2212yes—
205#2373C2212yes—
206#2373C2212yes—
207#2372C2214yes—
208#2368C2214yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2211yescharacteristic
214#2367C2212yes—
215#2367C2212yes—
216#2367C2211yescharacteristic
217#2367C2211yescharacteristic
218#2367C2211yescharacteristic
219#2366C2211yescharacteristic
220#2365C2211yescharacteristic
221#2364C2214yes—
222#2363C2214yes—
223#2363C2214yes—
224#2363C2214yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2361C2212yes—
229#2361C2212yes—
230#2357C2212yes—
231#2357C2212yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2357C2214yes—
235#2356C2211yescharacteristic
236#2356C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2354C2211yescharacteristic
241#2353C2214yes—
242#2352C2212yes—
243#2349C2214yes—
244#2347C2212yes—
245#2341C2212yes—
246#2341C2212yes—
247#2341C2212yes—
248Q8×C22⋊C4C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2337C2214yes—
254#2332C2214yes—
255#2325C2214yes—
256#2324C2214yes—
257#2324C2214yes—
258#2319C2214yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2212yes—
267C4×#127C2212yes—
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280C4×#123C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2297C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286C2×#391C2212yes—
287#2293C2212yes—
288#2285C2212yes—
289#2275C2214yes—
290C42×Q8C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—28no—
304#557—44no—
305#556—28no—
306#556—44no—
307#550—44no—
308#550—44no—
309D4×Q8—44no—
310#548—216no—
311#548—48no—
312#547—44no—
313#532—216no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325#529—48no—
326#529—48no—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2314yes—
426C22×C4⋊C4C2312yes—
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
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#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—28no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C4⋊Q8—28no—
873C4⋊Q8—24no—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878#127—28no—
879#127—24no—
880#127—24no—
881#127—44no—
882#127—44no—
883#126—28no—
884#126—28no—
885#126—48no—
886#126—48no—
887#126—48no—
888#125—28no—
889#125—44no—
890#125—48no—
891#124—24no—
892#124—24no—
893#124—28no—
894#124—28no—
895#124—216no—
896#124—28no—
897#124—24no—
898#124—48no—
899#124—44no—
900#124—44no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124#4118yescomplemented
905#123—28no—
906#123—28no—
907#123—48no—
908#123—48no—
909#123—48no—
910C22⋊Q8—28no—
911C22⋊Q8—216no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920#121—28no—
921#121—216no—
922#121—28no—
923#121—216no—
924#121—216no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—42no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8#4118yescomplemented
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—216no—
955C4×D4—216no—
956C4×D4—28no—
957C4×D4—216no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977#117—28no—
978#117—44no—
979#117—48no—
980#117—48no—
981#117—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C42—28no—
1102C2×C42—44no—
1103C2×C42—44no—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2514yes—
1215C24C2512yes—
1216#41—816no—
1217#41—816no—
1218#41—816no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—28no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—41no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—816no—
1239C2×Q8C2×#4114yes—
1240C2×Q8C2×#4114yes—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4C2×#4114yes—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—41no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4C2×#4114yes—
1418C4⋊C4C2×#4118yes—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
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⋊C4C2×#4118yes—
1479C22⋊C4C2×#4118yes—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—41no—
1508C42—42no—
1509C42—42no—
1510C42—41no—
1511C42—41no—
1512C42—42no—
1513C42—42no—
1514C42—44no—
1515C42—44no—
1516C42—42no—
1517C42—42no—
1518C42—44no—
1519C42—41no—
1520C42—41no—
1521C42—44no—
1522C42C2×#4114yes—
1523C42C2×#4118yes—
1524C42C2×#4114yes—
1525C42H(5,𝔽2)14yes—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23C22×#4114yes—
1554C23C2611yescharacteristic
1555Q8—28no—
1556Q8—28no—
1557Q8—44no—
1558Q8—44no—
1559Q8—48no—
1560Q8—48no—
1561Q8—88no—
1562D4—28no—
1563D4—416no—
1564D4—416no—
1565D4—48no—
1566D4—44no—
1567D4—48no—
1568D4—44no—
1569D4—48no—
1570D4—84no—
1571D4—88no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—88no—
1576D4—164no—
1577D4—164no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—48no—
1656C2×C4—48no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—84no—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4114yes—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4112yes—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4114yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4112yes—
1678C2×C4C2×H(5,𝔽2)14yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4#58512yes—
1684C2×C4#58512yes—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—42no—
1705C22—44no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22C23×#4111yescharacteristic
1714C22C23×#4111yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C222−1+611yescharacteristic
1720C4—22no—
1721C4—24no—
1722C4—22no—
1723C4—22no—
1724C4—24no—
1725C4—24no—
1726C4—22no—
1727C4—22no—
1728C4—24no—
1729C4—22no—
1730C4—42no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—44no—
1739C4—42no—
1740C4—44no—
1741C4—42no—
1742C4—42no—
1743C4—44no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4#350814yes—
1750C4#351414yes—
1751C2—44no—
1752C2—82no—
1753C2—82no—
1754C2—84no—
1755C2#41211yescharacteristic
1756C2C2×#351411yescharacteristic
1757C2C2×#350811yescharacteristic
1758C2#6293111yescharacteristic
1759C2#6298511yescharacteristic
1760C2#6300711yescharacteristic
1761C2#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. #59584C2semidirect
2. #59479C2semidirect
3. #59474C2semidirect
4. #59419C2semidirect
5. #59413C2semidirect
6. #59410C2semidirect
7. #59145C2semidirect
8. #59104C2semidirect
9. #59061C2semidirect
10. #44698C2semidirect
11. #44302C2semidirect
12. #44032C2semidirect
13. #40170C2semidirect
14. #40153C2semidirect
15. #39954C2semidirect
16. #39903C2semidirect
17. #39790C2semidirect
18. #38998C2semidirect
19. #36609C2semidirect
20. #36583C2semidirect
21. #36508C2semidirect
22. #36465C2semidirect
23. #36419C2semidirect
24. #36373C2semidirect
25. #36303C2semidirect
26. #36136C2semidirect
27. #36125C2semidirect
28. #35811C2semidirect
29. #34951C2semidirect
30. #34934C2semidirect
31. #34932C2semidirect
32. #34327C2semidirect
33. #34226C2semidirect
34. C4×#559C2semidirect
35. C4×#556C2semidirect
904. #124#41semidirect
950. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595842
#594792
#594742
#594192
#594132
#594102
#591452
#591042
#590612
#446982
#443022
#440322
#401702
#401532
#399542
#399032
#397902
#389982
#366092
#365832
#365082
#364652
#364192
#363732
#363032
#361362
#361252
#358112
#349512
#349342
#349322
#343272
#342262
C4×#5592
C4×#5562