Finite Group Databasebeta

← #7689619

Subgroups — #7689619

Order 512.

5065 conjugacy classes of subgroups.

The subgroup lattice has 1699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59806C212yesmaximal, complemented
3#59765C212yesmaximal, complemented
4#59762C214yesmaximal, complemented
5#59691C212yesmaximal, complemented
6#59658C212yesmaximal, complemented
7#59080C211yesmaximal, characteristic, complemented
8#59042C211yesmaximal, characteristic, complemented
9#45068C212yesmaximal, complemented
10#44986C212yesmaximal, complemented
11#44551C214yesmaximal, complemented
12#43612C214yesmaximal, complemented
13#39795C212yesmaximal, complemented
14#39771C211yesmaximal, characteristic, complemented
15#39242C212yesmaximal, complemented
16#39146C211yesmaximal, characteristic, complemented
17#38672C214yesmaximal, complemented
18#38241C212yesmaximal, complemented
19#36472C211yesmaximal, characteristic, complemented
20#36469C211yesmaximal, characteristic, complemented
21#36467C212yesmaximal, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36413C212yesmaximal, complemented
24#36306C212yesmaximal, complemented
25#36302C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36051C212yesmaximal, complemented
28#35900C212yesmaximal, complemented
29#34915C212yesmaximal, complemented
30#34803C211yesmaximal, characteristic, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34331C212yesmaximal, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#557C2212yes—
38C2×#555C2211yescharacteristic
39C2×#553C2212yes—
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44#2863C2212yes—
45#2861C2214yes—
46#2861C2212yes—
47#2860C2212yes—
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2808C2214yes—
53#2803C2214yes—
54#2797C2214yes—
55#2796C2214yes—
56#2796C2214yes—
57#2787C2214yes—
58#2786C2214yes—
59#2778C2214yes—
60#2770C2214yes—
61#2759C2214yes—
62#2756C2214yes—
63#2751C2214yes—
64#2746C2214yes—
65#2746C2214yes—
66#2726C2214yes—
67#2716C2214yes—
68#2711C2214yes—
69#2710C2214yes—
70#2690C2214yes—
71#2689C2214yes—
72#2676C2214yes—
73#2661C2214yes—
74#2653C2214yes—
75#2645C2212yes—
76#2640C2212yes—
77#2603C2214yes—
78#2603C2214yes—
79#2602C2214yes—
80#2597C2214yes—
81#2597C2214yes—
82#2596C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2593C2214yes—
86#2592C2214yes—
87#2592C2212yes—
88#2592C2212yes—
89#2589C2214yes—
90#2582C2212yes—
91#2580C2212yes—
92#2577C2214yes—
93#2574C2214yes—
94#2568C2211yescharacteristic
95#2562C2214yes—
96#2562C2212yes—
97#2558C2214yes—
98#2557C2214yes—
99#2557C2214yes—
100#2557C2214yes—
101#2552C2211yescharacteristic
102#2552C2211yescharacteristic
103#2548C2211yescharacteristic
104#2547C2211yescharacteristic
105#2546C2212yes—
106#2544C2212yes—
107#2543C2214yes—
108#2541C2211yescharacteristic
109#2540C2212yes—
110#2536C2212yes—
111#2533C2212yes—
112#2532C2214yes—
113#2532C2214yes—
114#2531C2214yes—
115#2528C2214yes—
116#2527C2212yes—
117#2527C2214yes—
118#2527C2214yes—
119#2523C2212yes—
120#2521C2214yes—
121#2519C2214yes—
122#2514C2212yes—
123#2514C2211yescharacteristic
124#2513C2212yes—
125#2513C2212yes—
126#2510C2214yes—
127#2509C2211yescharacteristic
128#2506C2212yes—
129#2506C2212yes—
130#2505C2214yes—
131#2500C2212yes—
132#2499C2212yes—
133#2499C2211yescharacteristic
134#2498C2214yes—
135#2496C2211yescharacteristic
136#2494C2212yes—
137#2494C2212yes—
138#2492C2212yes—
139#2492C2214yes—
140#2492C2211yescharacteristic
141#2491C2214yes—
142#2491C2214yes—
143#2491C2212yes—
144#2491C2212yes—
145#2490C2212yes—
146#2490C2212yes—
147#2490C2214yes—
148#2490C2212yes—
149#2489C2214yes—
150#2489C2212yes—
151#2488C2214yes—
152#2487C2212yes—
153#2485C2211yescharacteristic
154#2479C2214yes—
155#2477C2214yes—
156#2476C2214yes—
157#2466C2212yes—
158#2464C2214yes—
159#2463C2214yes—
160#2460C2214yes—
161#2458C2214yes—
162#2454C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2452C2212yes—
166#2451C2212yes—
167#2448C2212yes—
168#2448C2212yes—
169#2447C2212yes—
170#2447C2212yes—
171#2446C2214yes—
172#2444C2214yes—
173#2444C2214yes—
174#2442C2212yes—
175#2439C2211yescharacteristic
176#2436C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2427C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2423C2212yes—
187#2422C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2415C2211yescharacteristic
191#2414C2212yes—
192#2414C2212yes—
193#2409C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2401C2214yes—
197#2401C2212yes—
198#2398C2212yes—
199#2395C2214yes—
200#2372C2212yes—
201#2372C2212yes—
202#2371C2214yes—
203#2369C2212yes—
204#2369C2211yescharacteristic
205#2368C2214yes—
206#2367C2214yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2366C2212yes—
211#2366C2211yescharacteristic
212#2366C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2363C2211yescharacteristic
219#2363C2212yes—
220#2363C2211yescharacteristic
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2362C2212yes—
230#2361C2212yes—
231#2360C2212yes—
232#2359C2214yes—
233#2359C2214yes—
234#2355C2212yes—
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2353C2214yes—
240#2353C2214yes—
241Q8×C4⋊C4C2212yes—
242#2349C2212yes—
243#2349C2214yes—
244D4×C4⋊C4C2211yescharacteristic
245#2346C2211yescharacteristic
246#2346C2211yescharacteristic
247#2346C2212yes—
248#2341C2212yes—
249#2341C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252#2339C2212yes—
253#2335C2214yes—
254#2335C2214yes—
255#2333C2214yes—
256#2331C2212yes—
257#2329C2214yes—
258#2326C2212yes—
259#2326C2212yes—
260#2319C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2214yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2214yes—
280#2298C2214yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2212yes—
285C2×#391C2212yes—
286#2293C2214yes—
287#2293C2212yes—
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2275C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—216no—
302#557—48no—
303#555—28no—
304#553—48no—
305D4×Q8—28no—
306#548—48no—
307#533—28no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402#401C2314yes—
403#401C2312yes—
404#401C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#383C2312yes—
696#383C2314yes—
697#383C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#380C2311yescharacteristic
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C22⋊C4C2311yescharacteristic
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2314yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—48no—
860C4⋊Q8#4118yes—
861#127—28no—
862#127—24no—
863#126—44no—
864#126—48no—
865#125—28no—
866#125—28no—
867#125—44no—
868#125—48no—
869#125—48no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—216no—
875#124—28no—
876#124—48no—
877#124—44no—
878#124—44no—
879#123—216no—
880#123—216no—
881#123—48no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—24no—
887C22⋊Q8—48no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890#121—24no—
891#121—24no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—44no—
897#121—48no—
898#121—48no—
899#121—44no—
900#121—44no—
901#121—44no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—28no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—48no—
913C4×Q8—44no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4#4118yescomplemented
934#117—28no—
935#117—28no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—44no—
940#117—48no—
941#117—42no—
942#117—42no—
943#117—42no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
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#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2511yescharacteristic
1181C24C2514yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184#41—816no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—28no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—42no—
1202C2×Q8—816no—
1203C2×Q8C2×#4118yes—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4C2×#4114yes—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4C2×#4118yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—41no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4118yes—
1368C4⋊C4C2×#4118yes—
1369C4⋊C4H(5,𝔽2)14yes—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—22no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4C2×#4118yes—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—28no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—41no—
1455C42—42no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—41no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42C2×#4114yes—
1467C42C2×#4114yes—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—24no—
1476C23—21no—
1477C23—21no—
1478C23—24no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—24no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23—21no—
1487C23—24no—
1488C23—21no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—24no—
1493C23—21no—
1494C23—21no—
1495C23C22×#4114yes—
1496C23C2611yescharacteristic
1497Q8—216no—
1498Q8—48no—
1499Q8—48no—
1500Q8—44no—
1501Q8—84no—
1502Q8—88no—
1503D4—28no—
1504D4—416no—
1505D4—44no—
1506D4—48no—
1507D4—48no—
1508D4—84no—
1509D4—88no—
1510D4—84no—
1511D4—84no—
1512D4—88no—
1513D4—164no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
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—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—48no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—82no—
1602C2×C4—88no—
1603C2×C4—88no—
1604C2×C4—88no—
1605C2×C4—84no—
1606C2×C4—164no—
1607C2×C4—164no—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4118yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)14yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—44no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—44no—
1634C22—41no—
1635C22—41no—
1636C22—44no—
1637C22—44no—
1638C22—41no—
1639C22—41no—
1640C22—44no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—44no—
1646C22—41no—
1647C22—41no—
1648C22—44no—
1649C22C23×#4111yescharacteristic
1650C22C23×#4111yescharacteristic
1651C22C22×H(5,𝔽2)11yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22C2×#58511yescharacteristic
1655C222−1+611yescharacteristic
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—22no—
1660C4—28no—
1661C4—22no—
1662C4—24no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—44no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4#348014yes—
1686C4#351414yes—
1687C2—44no—
1688C2—84no—
1689C2—81no—
1690C2—81no—
1691C2C2×#348011yescharacteristic
1692C2C2×#351411yescharacteristic
1693C2#6278111yescharacteristic
1694C2#6296711yescharacteristic
1695C2#6298511yescharacteristic
1696C2#6300511yescharacteristic
1697C2#6303511yescharacteristic
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. #59828C2semidirect
2. #59806C2semidirect
3. #59765C2semidirect
4. #59762C2semidirect
5. #59691C2semidirect
6. #59658C2semidirect
7. #59080C2semidirect
8. #59042C2semidirect
9. #45068C2semidirect
10. #44986C2semidirect
11. #44551C2semidirect
12. #43612C2semidirect
13. #39795C2semidirect
14. #39771C2semidirect
15. #39242C2semidirect
16. #39146C2semidirect
17. #38672C2semidirect
18. #38241C2semidirect
19. #36472C2semidirect
20. #36469C2semidirect
21. #36467C2semidirect
22. #36450C2semidirect
23. #36413C2semidirect
24. #36306C2semidirect
25. #36302C2semidirect
26. #36150C2semidirect
27. #36051C2semidirect
28. #35900C2semidirect
29. #34915C2semidirect
30. #34803C2semidirect
31. #34334C2semidirect
32. #34331C2semidirect
33. #34232C2semidirect
34. C4×#555C2semidirect
35. #34154C2semidirect
933. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598282
#598062
#597652
#597622
#596912
#596582
#590802
#590422
#450682
#449862
#445512
#436122
#397952
#397712
#392422
#391462
#386722
#382412
#364722
#364692
#364672
#364502
#364132
#363062
#363022
#361502
#360512
#359002
#349152
#348032
#343342
#343312
#342322
C4×#5552
#341542