Finite Group Databasebeta

← #7693303

Subgroups — #7693303

Order 512.

4838 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59584C212yesmaximal, complemented
3#59507C212yesmaximal, complemented
4#59391C212yesmaximal, complemented
5#59374C214yesmaximal, complemented
6#59236C212yesmaximal, complemented
7#59079C211yesmaximal, characteristic, complemented
8#59057C211yesmaximal, characteristic, complemented
9#45198C212yesmaximal, complemented
10#45068C212yesmaximal, complemented
11#44555C214yesmaximal, complemented
12#43339C214yesmaximal, complemented
13#40015C214yesmaximal, complemented
14#39224C212yesmaximal, complemented
15#39220C212yesmaximal, complemented
16#39148C211yesmaximal, characteristic, complemented
17#39146C211yesmaximal, characteristic, complemented
18#38981C212yesmaximal, complemented
19#36591C211yesmaximal, characteristic, complemented
20#36588C212yesmaximal, complemented
21#36537C212yesmaximal, complemented
22#36471C212yesmaximal, complemented
23#36469C211yesmaximal, characteristic, complemented
24#36302C211yesmaximal, characteristic, complemented
25#36177C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36055C212yesmaximal, complemented
28#35884C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34788C212yesmaximal, complemented
31#34329C212yesmaximal, complemented
32#34236C211yesmaximal, characteristic, complemented
33#34231C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41#2861C2212yes—
42#2861C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2855C2212yes—
47#2854C2214yes—
48#2854C2212yes—
49#2799C2214yes—
50#2787C2214yes—
51#2782C2214yes—
52#2779C2214yes—
53#2778C2214yes—
54#2777C2214yes—
55#2775C2214yes—
56#2770C2214yes—
57#2756C2214yes—
58#2754C2214yes—
59#2752C2214yes—
60#2750C2214yes—
61#2749C2214yes—
62#2749C2214yes—
63#2746C2214yes—
64#2746C2214yes—
65#2745C2214yes—
66#2730C2214yes—
67#2728C2214yes—
68#2711C2214yes—
69#2688C2214yes—
70#2654C2214yes—
71#2649C2214yes—
72#2645C2212yes—
73#2644C2212yes—
74#2602C2214yes—
75#2602C2214yes—
76#2602C2214yes—
77#2600C2214yes—
78#2597C2214yes—
79#2597C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2595C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2593C2214yes—
86#2592C2212yes—
87#2584C2212yes—
88#2575C2214yes—
89#2575C2214yes—
90#2573C2214yes—
91#2573C2212yes—
92#2573C2212yes—
93#2571C2211yescharacteristic
94#2571C2211yescharacteristic
95#2568C2211yescharacteristic
96#2568C2211yescharacteristic
97#2562C2214yes—
98#2562C2212yes—
99#2557C2214yes—
100#2555C2214yes—
101#2553C2214yes—
102#2552C2211yescharacteristic
103#2550C2212yes—
104#2548C2211yescharacteristic
105#2547C2211yescharacteristic
106#2547C2211yescharacteristic
107#2544C2212yes—
108#2541C2211yescharacteristic
109#2540C2212yes—
110#2540C2212yes—
111#2538C2211yescharacteristic
112#2535C2212yes—
113#2533C2214yes—
114#2531C2214yes—
115#2531C2214yes—
116#2530C2214yes—
117#2526C2214yes—
118#2525C2214yes—
119#2521C2214yes—
120#2516C2214yes—
121#2516C2214yes—
122#2514C2212yes—
123#2514C2212yes—
124#2514C2212yes—
125#2513C2212yes—
126#2513C2212yes—
127#2510C2214yes—
128#2510C2214yes—
129#2510C2214yes—
130#2509C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2506C2212yes—
134#2506C2212yes—
135#2504C2212yes—
136#2503C2212yes—
137#2500C2212yes—
138#2495C2214yes—
139#2494C2214yes—
140#2494C2212yes—
141#2494C2211yescharacteristic
142#2494C2211yescharacteristic
143#2493C2214yes—
144#2493C2214yes—
145#2491C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2489C2212yes—
150#2489C2212yes—
151#2487C2212yes—
152#2476C2214yes—
153#2475C2214yes—
154#2464C2214yes—
155#2459C2214yes—
156#2454C2214yes—
157#2454C2212yes—
158#2454C2212yes—
159#2453C2214yes—
160#2453C2212yes—
161#2448C2212yes—
162#2448C2212yes—
163#2448C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2444C2214yes—
167#2444C2214yes—
168#2442C2212yes—
169#2442C2212yes—
170#2428C2212yes—
171#2428C2212yes—
172#2427C2212yes—
173#2427C2212yes—
174#2427C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2426C2212yes—
178#2426C2212yes—
179#2423C2212yes—
180#2422C2212yes—
181#2421C2214yes—
182#2421C2211yescharacteristic
183#2421C2211yescharacteristic
184#2420C2214yes—
185#2420C2212yes—
186#2420C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2415C2212yes—
190#2414C2212yes—
191#2407C2212yes—
192#2407C2214yes—
193#2401C2214yes—
194#2401C2212yes—
195#2401C2212yes—
196#2395C2214yes—
197#2374C2214yes—
198#2374C2212yes—
199#2373C2212yes—
200#2372C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2369C2211yescharacteristic
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2368C2214yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2366C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2364C2212yes—
218#2363C2211yescharacteristic
219#2363C2212yes—
220#2363C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2361C2211yescharacteristic
226#2361C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2359C2214yes—
230#2357C2211yescharacteristic
231#2357C2212yes—
232#2357C2212yes—
233#2357C2214yes—
234#2356C2214yes—
235#2356C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2354C2212yes—
239#2353C2214yes—
240#2353C2212yes—
241#2352C2212yes—
242#2352C2211yescharacteristic
243#2349C2212yes—
244#2349C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246#2347C2212yes—
247#2347C2211yescharacteristic
248#2346C2212yes—
249#2345C2211yescharacteristic
250#2345C2212yes—
251#2341C2212yes—
252#2339C2214yes—
253#2337C2214yes—
254#2337C2214yes—
255#2335C2214yes—
256#2332C2214yes—
257#2328C2212yes—
258#2326C2212yes—
259#2320C2212yes—
260#2319C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2214yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2214yes—
283#2295C2212yes—
284#2293C2212yes—
285#2290C2214yes—
286#2283C2212yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#559—216no—
301#554—28no—
302#553—28no—
303#533—28no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#126C2312yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2314yes—
389#401C2312yes—
390#401C2314yes—
391#401C2312yes—
392#401C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#383C2312yes—
674#383C2314yes—
675#383C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#382C2311yescharacteristic
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#381C2314yes—
692#381C2312yes—
693#381C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#381C2314yes—
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2314yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—82no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8#4118yes—
852#127—28no—
853#127—24no—
854#126—28no—
855#125—28no—
856#125—28no—
857#125—24no—
858#125—44no—
859#125—84no—
860#124—28no—
861#124—28no—
862#124—216no—
863#124—28no—
864#124—44no—
865#124—44no—
866#124—44no—
867#123—28no—
868#123—216no—
869#123—216no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876C22⋊Q8—42no—
877#121—24no—
878#121—24no—
879#121—28no—
880#121—28no—
881#121—28no—
882#121—48no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—82no—
888#121—84no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—82no—
898C4×D4—28no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—84no—
918C4×D4—84no—
919C4×D4#4118yescomplemented
920#117—28no—
921#117—24no—
922#117—42no—
923#117—84no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—44no—
1046C2×C42—84no—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2511yescharacteristic
1166C24C2514yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169#41—816no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8C2×#4118yes—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—22no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4C2×#4114yes—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—41no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4C2×#4118yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4118yes—
1353C4⋊C4C2×#4118yes—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—22no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—22no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—22no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4C2×#4118yes—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—28no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—42no—
1437C42—41no—
1438C42—44no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—41no—
1445C42—42no—
1446C42C2×#4114yes—
1447C42C2×#4114yes—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—24no—
1462C23—21no—
1463C23—24no—
1464C23—21no—
1465C23—21no—
1466C23—24no—
1467C23—24no—
1468C23—24no—
1469C23—21no—
1470C23—24no—
1471C23—21no—
1472C23—24no—
1473C23—21no—
1474C23C22×#4114yes—
1475C23#58512yes—
1476C23C2611yescharacteristic
1477Q8—48no—
1478Q8—48no—
1479Q8—44no—
1480Q8—84no—
1481D4—28no—
1482D4—44no—
1483D4—416no—
1484D4—48no—
1485D4—48no—
1486D4—48no—
1487D4—84no—
1488D4—84no—
1489D4—88no—
1490D4—88no—
1491D4—164no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—82no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—88no—
1589C2×C4—164no—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4118yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—22no—
1602C22—24no—
1603C22—22no—
1604C22—22no—
1605C22—24no—
1606C22—24no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—44no—
1616C22—41no—
1617C22—44no—
1618C22—41no—
1619C22—44no—
1620C22—41no—
1621C22—41no—
1622C22—44no—
1623C22—41no—
1624C22—44no—
1625C22—41no—
1626C22—44no—
1627C22—41no—
1628C22—44no—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—22no—
1637C4—28no—
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—44no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4#348014yes—
1666C4#352414yes—
1667C2—42no—
1668C2—44no—
1669C2—84no—
1670C2—81no—
1671C2C2×#348011yescharacteristic
1672C2C2×#352411yescharacteristic
1673C2#6281611yescharacteristic
1674C2#6296911yescharacteristic
1675C2#6299011yescharacteristic
1676C2#6299211yescharacteristic
1677C2#6302911yescharacteristic
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. #59665C2semidirect
2. #59584C2semidirect
3. #59507C2semidirect
4. #59391C2semidirect
5. #59374C2semidirect
6. #59236C2semidirect
7. #59079C2semidirect
8. #59057C2semidirect
9. #45198C2semidirect
10. #45068C2semidirect
11. #44555C2semidirect
12. #43339C2semidirect
13. #40015C2semidirect
14. #39224C2semidirect
15. #39220C2semidirect
16. #39148C2semidirect
17. #39146C2semidirect
18. #38981C2semidirect
19. #36591C2semidirect
20. #36588C2semidirect
21. #36537C2semidirect
22. #36471C2semidirect
23. #36469C2semidirect
24. #36302C2semidirect
25. #36177C2semidirect
26. #36150C2semidirect
27. #36055C2semidirect
28. #35884C2semidirect
29. #34945C2semidirect
30. #34788C2semidirect
31. #34329C2semidirect
32. #34236C2semidirect
33. #34231C2semidirect
34. C4×#554C2semidirect
35. C4×#553C2semidirect
919. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596652
#595842
#595072
#593912
#593742
#592362
#590792
#590572
#451982
#450682
#445552
#433392
#400152
#392242
#392202
#391482
#391462
#389812
#365912
#365882
#365372
#364712
#364692
#363022
#361772
#361502
#360552
#358842
#349452
#347882
#343292
#342362
#342312
C4×#5542
C4×#5532