Finite Group Databasebeta

← #7979677

Subgroups — #7979677

Order 512.

4875 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59813C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59463C212yesmaximal, complemented
4#59084C211yesmaximal, characteristic, complemented
5#59080C211yesmaximal, characteristic, complemented
6#50285C214yesmaximal, complemented
7#49123C214yesmaximal, complemented
8#46049C212yesmaximal, complemented
9#45602C212yesmaximal, complemented
10#45148C212yesmaximal, complemented
11#45009C212yesmaximal, complemented
12#43660C214yesmaximal, complemented
13#42829C212yesmaximal, complemented
14#42762C212yesmaximal, complemented
15#41463C214yesmaximal, complemented
16#40006C212yesmaximal, complemented
17#39248C212yesmaximal, complemented
18#39238C212yesmaximal, complemented
19#39001C212yesmaximal, complemented
20#38986C211yesmaximal, characteristic, complemented
21#38911C211yesmaximal, characteristic, complemented
22#38116C212yesmaximal, complemented
23#36552C211yesmaximal, characteristic, complemented
24Q8×#124C211yesmaximal, characteristic, complemented
25Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
26#36460C212yesmaximal, complemented
27#36459C211yesmaximal, characteristic, complemented
28#36149C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35186C211yesmaximal, characteristic, complemented
31#35137C212yesmaximal, complemented
32#34955C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34474C212yesmaximal, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2862C2211yescharacteristic
45#2862C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2856C2212yes—
53#2851C2212yes—
54#2850C2212yes—
55#2831C2214yes—
56#2830C2214yes—
57#2808C2214yes—
58#2804C2214yes—
59#2803C2214yes—
60#2790C2214yes—
61#2789C2214yes—
62#2788C2214yes—
63#2778C2214yes—
64#2778C2214yes—
65#2775C2214yes—
66#2764C2214yes—
67#2759C2214yes—
68#2758C2214yes—
69#2756C2214yes—
70#2751C2214yes—
71#2750C2214yes—
72#2746C2214yes—
73#2740C2214yes—
74#2737C2214yes—
75#2731C2214yes—
76#2728C2214yes—
77#2723C2214yes—
78#2715C2214yes—
79#2708C2214yes—
80#2702C2214yes—
81#2698C2214yes—
82#2696C2214yes—
83#2695C2214yes—
84#2689C2214yes—
85#2687C2214yes—
86#2686C2214yes—
87#2676C2214yes—
88#2676C2214yes—
89#2671C2214yes—
90#2662C2214yes—
91#2653C2214yes—
92#2653C2214yes—
93#2653C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2650C2214yes—
97#2645C2212yes—
98#2625C2212yes—
99#2602C2214yes—
100#2592C2212yes—
101#2592C2212yes—
102#2591C2214yes—
103#2590C2214yes—
104#2589C2214yes—
105#2587C2214yes—
106#2582C2212yes—
107#2582C2211yescharacteristic
108#2572C2214yes—
109#2572C2214yes—
110#2571C2212yes—
111#2570C2212yes—
112#2568C2212yes—
113#2568C2211yescharacteristic
114#2568C2211yescharacteristic
115#2567C2212yes—
116#2567C2211yescharacteristic
117#2566C2212yes—
118#2563C2212yes—
119#2563C2211yescharacteristic
120#2560C2214yes—
121#2559C2214yes—
122#2559C2214yes—
123#2559C2214yes—
124#2557C2214yes—
125#2556C2214yes—
126#2552C2211yescharacteristic
127#2550C2212yes—
128#2548C2212yes—
129#2548C2211yescharacteristic
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2544C2212yes—
133#2541C2211yescharacteristic
134#2535C2212yes—
135#2532C2214yes—
136#2532C2214yes—
137#2527C2214yes—
138#2526C2214yes—
139#2526C2214yes—
140#2514C2212yes—
141#2514C2212yes—
142#2514C2212yes—
143#2513C2212yes—
144#2512C2212yes—
145#2512C2214yes—
146#2511C2212yes—
147#2508C2212yes—
148#2505C2214yes—
149#2505C2214yes—
150#2504C2212yes—
151#2502C2212yes—
152#2500C2212yes—
153#2500C2214yes—
154#2497C2214yes—
155#2496C2212yes—
156#2495C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2492C2214yes—
160#2492C2214yes—
161#2492C2212yes—
162#2491C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2488C2214yes—
168#2485C2212yes—
169#2481C2212yes—
170#2477C2214yes—
171#2474C2214yes—
172#2469C2212yes—
173#2468C2214yes—
174#2463C2214yes—
175#2460C2214yes—
176#2458C2212yes—
177#2454C2212yes—
178#2453C2212yes—
179#2453C2211yescharacteristic
180#2453C2212yes—
181#2452C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2451C2212yes—
185#2451C2214yes—
186#2448C2211yescharacteristic
187#2448C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2447C2212yes—
191#2447C2212yes—
192#2445C2212yes—
193#2443C2212yes—
194#2442C2211yescharacteristic
195#2440C2212yes—
196#2440C2214yes—
197#2436C2212yes—
198#2436C2212yes—
199#2436C2211yescharacteristic
200#2432C2214yes—
201#2430C2214yes—
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2211yescharacteristic
209#2422C2212yes—
210#2421C2211yescharacteristic
211#2420C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2416C2211yescharacteristic
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2409C2211yescharacteristic
219#2409C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2398C2212yes—
224#2398C2214yes—
225#2396C2212yes—
226#2379C2214yes—
227#2377C2214yes—
228#2373C2212yes—
229#2371C2212yes—
230#2370C2211yescharacteristic
231#2369C2211yescharacteristic
232#2368C2214yes—
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2366C2212yes—
237#2365C2211yescharacteristic
238#2363C2214yes—
239#2363C2212yes—
240#2362C2211yescharacteristic
241#2360C2211yescharacteristic
242#2360C2212yes—
243#2359C2212yes—
244#2357C2214yes—
245#2356C2211yescharacteristic
246#2355C2212yes—
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2352C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2212yes—
253#2347C2212yes—
254#2346C2211yescharacteristic
255#2344C2211yescharacteristic
256#2343C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2337C2214yes—
263#2337C2214yes—
264#2333C2214yes—
265#2332C2214yes—
266#2326C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2318C2214yes—
272#2310C2212yes—
273C4×#127C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#124C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2311yescharacteristic
303Q82—44no—
304#552—28no—
305D4×Q8—44no—
306#548—216no—
307#532—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317#529—44no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×C4×Q8—44no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2314yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#399C2314yes—
423#399C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#397C2314yes—
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#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2312yes—
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#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
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#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#383C2312yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2311yescharacteristic
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—82no—
824C22×Q8—24no—
825C22×Q8—28no—
826C22×Q8—42no—
827C22×Q8—42no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—48no—
870#127—24no—
871#127—44no—
872#126—28no—
873#126—44no—
874#126—84no—
875#126—84no—
876#125—28no—
877#125—24no—
878#125—44no—
879#125—42no—
880#124—28no—
881#124—28no—
882#124—24no—
883#124—216no—
884#124—44no—
885#124—42no—
886#124—44no—
887#124—44no—
888#124—48no—
889#123—28no—
890#123—44no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—216no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—42no—
898C22⋊Q8—44no—
899C22⋊Q8—82no—
900C22⋊Q8—84no—
901C22⋊Q8—84no—
902C22⋊Q8#4118yescomplemented
903#121—28no—
904#121—216no—
905#121—44no—
906#121—44no—
907#121—42no—
908#121—42no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—84no—
915C4×Q8—24no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—42no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—42no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—216no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—82no—
943#117—24no—
944#117—28no—
945#117—44no—
946#117—44no—
947#117—42no—
948#117—44no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—42no—
951C2×C4⋊C4—42no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24C2514yes—
1187C24C2512yes—
1188C24C2511yescharacteristic
1189C24C2511yescharacteristic
1190#41—816no—
1191#41—816no—
1192C2×Q8—24no—
1193C2×Q8—28no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—416no—
1215C2×Q8—816no—
1216C2×Q8C2×#4114yes—
1217C2×Q82−1+414yes—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—22no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—41no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4C2×#4114yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4C2×#4114yes—
1389C4⋊C4C2×#4118yes—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4C2×#4118yes—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—28no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—42no—
1466C42—42no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—41no—
1474C42—41no—
1475C42—44no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—42no—
1481C42H(5,𝔽2)14yes—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23C22×#4112yes—
1509C23#58512yes—
1510C23C2611yescharacteristic
1511Q8—28no—
1512Q8—28no—
1513Q8—48no—
1514Q8—48no—
1515Q8—44no—
1516Q8—88no—
1517Q8—84no—
1518Q8—164no—
1519D4—48no—
1520D4—44no—
1521D4—48no—
1522D4—44no—
1523D4—48no—
1524D4—88no—
1525D4—84no—
1526D4—84no—
1527D4—88no—
1528D4—88no—
1529D4—164no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—28no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—82no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—88no—
1626C2×C4—164no—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4114yes—
1629C2×C4C22×#4114yes—
1630C2×C4C22×#4112yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×2−1+414yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—44no—
1654C22—44no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22C23×#4111yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×2−1+411yescharacteristic
1669C22C2×#58511yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22C2×#58511yescharacteristic
1672C22H(7,𝔽2)11yescharacteristic
1673C4—24no—
1674C4—22no—
1675C4—24no—
1676C4—24no—
1677C4—22no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—41no—
1687C4—42no—
1688C4—44no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—44no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4#351414yes—
1703C4#354114yes—
1704C2—42no—
1705C2—42no—
1706C2—82no—
1707C2—84no—
1708C2C2×#354111yescharacteristic
1709C2C2×#351411yescharacteristic
1710C2#6281611yescharacteristic
1711C2#6292411yescharacteristic
1712C2#6296611yescharacteristic
1713C2#6299911yescharacteristic
1714C2#6303311yescharacteristic
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. #59813C2semidirect
2. #59646C2semidirect
3. #59463C2semidirect
4. #59084C2semidirect
5. #59080C2semidirect
6. #50285C2semidirect
7. #49123C2semidirect
8. #46049C2semidirect
9. #45602C2semidirect
10. #45148C2semidirect
11. #45009C2semidirect
12. #43660C2semidirect
13. #42829C2semidirect
14. #42762C2semidirect
15. #41463C2semidirect
16. #40006C2semidirect
17. #39248C2semidirect
18. #39238C2semidirect
19. #39001C2semidirect
20. #38986C2semidirect
21. #38911C2semidirect
22. #38116C2semidirect
23. #36552C2semidirect
24. Q8×#124C2semidirect
25. Q8×C22⋊Q8C2semidirect
26. #36460C2semidirect
27. #36459C2semidirect
28. #36149C2semidirect
29. #35238C2semidirect
30. #35186C2semidirect
31. #35137C2semidirect
32. #34955C2semidirect
33. #34708C2semidirect
34. #34474C2semidirect
35. C4×#552C2semidirect
902. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598132
#596462
#594632
#590842
#590802
#502852
#491232
#460492
#456022
#451482
#450092
#436602
#428292
#427622
#414632
#400062
#392482
#392382
#390012
#389862
#389112
#381162
#365522
Q8×#1242
Q8×C22⋊Q82
#364602
#364592
#361492
#352382
#351862
#351372
#349552
#347082
#344742
C4×#5522