Finite Group Databasebeta

← #7693121

Subgroups — #7693121

Order 512.

5026 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59537C214yesmaximal, complemented
2#59487C212yesmaximal, complemented
3#59459C211yesmaximal, characteristic, complemented
4#59435C212yesmaximal, complemented
5#59380C212yesmaximal, complemented
6#59055C211yesmaximal, characteristic, complemented
7#59054C212yesmaximal, complemented
8#59049C211yesmaximal, characteristic, complemented
9#45402C212yesmaximal, complemented
10#45009C212yesmaximal, complemented
11#44632C214yesmaximal, complemented
12#43878C214yesmaximal, complemented
13#40128C212yesmaximal, complemented
14#40125C212yesmaximal, complemented
15#40114C214yesmaximal, complemented
16#38943C211yesmaximal, characteristic, complemented
17#38941C211yesmaximal, characteristic, complemented
18#38937C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36473C211yesmaximal, characteristic, complemented
21#36470C212yesmaximal, complemented
22#36460C212yesmaximal, complemented
23#36458C212yesmaximal, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#36048C212yesmaximal, complemented
28#35856C212yesmaximal, complemented
29#34974C212yesmaximal, complemented
30#34943C211yesmaximal, characteristic, complemented
31#34237C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#556C2212yes—
39C2×#553C2212yes—
40C2×#552C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44#2860C2212yes—
45#2860C2214yes—
46#2860C2212yes—
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2850C2212yes—
52#2808C2214yes—
53#2803C2214yes—
54#2792C2214yes—
55#2785C2214yes—
56#2784C2214yes—
57#2781C2214yes—
58#2775C2214yes—
59#2775C2214yes—
60#2769C2214yes—
61#2756C2214yes—
62#2744C2214yes—
63#2744C2214yes—
64#2737C2214yes—
65#2737C2214yes—
66#2737C2214yes—
67#2721C2214yes—
68#2714C2214yes—
69#2694C2214yes—
70#2686C2214yes—
71#2686C2214yes—
72#2682C2214yes—
73#2663C2214yes—
74#2662C2214yes—
75#2642C2212yes—
76#2640C2212yes—
77#2610C2214yes—
78#2604C2214yes—
79#2604C2214yes—
80#2604C2214yes—
81#2603C2214yes—
82#2601C2214yes—
83#2592C2212yes—
84#2586C2214yes—
85#2584C2212yes—
86#2572C2214yes—
87#2572C2212yes—
88#2572C2212yes—
89#2572C2214yes—
90#2571C2212yes—
91#2571C2211yescharacteristic
92#2567C2212yes—
93#2567C2212yes—
94#2564C2214yes—
95#2563C2212yes—
96#2563C2211yescharacteristic
97#2563C2211yescharacteristic
98#2560C2214yes—
99#2560C2214yes—
100#2560C2214yes—
101#2559C2214yes—
102#2559C2214yes—
103#2559C2214yes—
104#2557C2214yes—
105#2555C2214yes—
106#2554C2214yes—
107#2553C2214yes—
108#2552C2211yescharacteristic
109#2551C2211yescharacteristic
110#2550C2212yes—
111#2548C2211yescharacteristic
112#2548C2212yes—
113#2546C2211yescharacteristic
114#2545C2212yes—
115#2543C2214yes—
116#2542C2212yes—
117#2542C2211yescharacteristic
118#2541C2211yescharacteristic
119#2540C2212yes—
120#2540C2212yes—
121#2537C2211yescharacteristic
122#2532C2214yes—
123#2529C2214yes—
124#2526C2214yes—
125#2526C2214yes—
126#2521C2214yes—
127#2513C2212yes—
128#2513C2214yes—
129#2512C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2512C2214yes—
133#2512C2214yes—
134#2512C2214yes—
135#2508C2212yes—
136#2500C2214yes—
137#2498C2214yes—
138#2497C2212yes—
139#2497C2214yes—
140#2496C2214yes—
141#2496C2214yes—
142#2496C2212yes—
143#2495C2214yes—
144#2495C2212yes—
145#2495C2214yes—
146#2495C2212yes—
147#2495C2211yescharacteristic
148#2495C2211yescharacteristic
149#2492C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2489C2212yes—
156#2479C2214yes—
157#2479C2214yes—
158#2474C2214yes—
159#2471C2214yes—
160#2471C2214yes—
161#2467C2214yes—
162#2467C2214yes—
163#2467C2214yes—
164#2454C2212yes—
165#2452C2212yes—
166#2451C2212yes—
167#2451C2212yes—
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2445C2212yes—
172#2445C2212yes—
173#2441C2214yes—
174#2431C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2423C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2420C2211yescharacteristic
189#2420C2211yescharacteristic
190#2416C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2407C2212yes—
196#2398C2212yes—
197#2398C2212yes—
198#2396C2214yes—
199#2395C2214yes—
200#2373C2214yes—
201#2373C2212yes—
202#2371C2212yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2363C2212yes—
217#2363C2212yes—
218#2363C2214yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2362C2211yescharacteristic
226#2360C2211yescharacteristic
227#2360C2212yes—
228#2360C2212yes—
229#2359C2212yes—
230#2357C2214yes—
231#2356C2211yescharacteristic
232#2356C2212yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2353C2214yes—
238#2353C2214yes—
239#2352C2211yescharacteristic
240#2351C2212yes—
241Q8×C4⋊C4C2212yes—
242Q8×C4⋊C4C2212yes—
243#2347C2212yes—
244#2346C2214yes—
245#2346C2211yescharacteristic
246#2344C2211yescharacteristic
247#2343C2214yes—
248#2343C2214yes—
249#2343C2212yes—
250#2341C2212yes—
251#2341C2212yes—
252#2341C2212yes—
253#2339C2212yes—
254#2336C2214yes—
255#2335C2214yes—
256#2335C2214yes—
257#2333C2214yes—
258#2320C2212yes—
259#2320C2212yes—
260#2319C2212yes—
261#2319C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#126C2214yes—
269C4×#126C2214yes—
270C4×#126C2214yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2214yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#123C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285#2293C2212yes—
286#2283C2212yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#556—28no—
301#556—48no—
302#556—48no—
303#553—48no—
304#552—28no—
305#533—28no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315#529—216no—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#393C2312yes—
470#393C2312yes—
471#393C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2314yes—
676#384C2314yes—
677#383C2312yes—
678#383C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#383C2312yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2314yes—
694#382C2312yes—
695#382C2314yes—
696#382C2314yes—
697#381C2312yes—
698#381C2314yes—
699#381C2312yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2314yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8#4118yes—
857#127—24no—
858#127—44no—
859#126—216no—
860#126—28no—
861#126—216no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#125—28no—
868#125—28no—
869#125—44no—
870#125#4118yescomplemented
871#124—28no—
872#124—28no—
873#124—28no—
874#124—48no—
875#124—44no—
876#124—44no—
877#124—48no—
878#123—216no—
879#123—28no—
880#123—48no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—48no—
894#121—44no—
895#121—42no—
896#121—44no—
897#121—42no—
898#121—44no—
899#121—44no—
900#121—48no—
901#121—44no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—48no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932#117—216no—
933#117—28no—
934#117—24no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—24no—
939#117—48no—
940#117—44no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C42—28no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C24C2514yes—
1183C24C2511yescharacteristic
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—42no—
1199C2×Q8C2×#4118yes—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—41no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4118yes—
1366C4⋊C4C2×#4118yes—
1367C4⋊C4C2×#4118yes—
1368C4⋊C4H(5,𝔽2)14yes—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—41no—
1401C22⋊C4—42no—
1402C22⋊C4—41no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—28no—
1436C42—28no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—24no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—41no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—41no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42C2×#4114yes—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—21no—
1479C23—21no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—21no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—21no—
1488C23—24no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—24no—
1494C23#58512yes—
1495C23C2611yescharacteristic
1496Q8—216no—
1497Q8—44no—
1498Q8—48no—
1499Q8—88no—
1500Q8—84no—
1501D4—44no—
1502D4—48no—
1503D4—44no—
1504D4—48no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508D4—84no—
1509D4—88no—
1510D4—84no—
1511D4—164no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—82no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4118yes—
1610C2×C4C22×#4114yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—44no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—44no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—44no—
1641C22—44no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—44no—
1647C22C23×#4111yescharacteristic
1648C22C23×#4111yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C2×#58511yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C222−1+611yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—24no—
1657C4—28no—
1658C4—24no—
1659C4—22no—
1660C4—24no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—44no—
1682C4—42no—
1683C4#348314yes—
1684C4#352114yes—
1685C2—42no—
1686C2—81no—
1687C2—84no—
1688C2—82no—
1689C2C2×#348311yescharacteristic
1690C2C2×#352111yescharacteristic
1691C2#6281611yescharacteristic
1692C2#6292111yescharacteristic
1693C2#6300511yescharacteristic
1694C2#6300911yescharacteristic
1695C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59537C2semidirect
2. #59487C2semidirect
3. #59459C2semidirect
4. #59435C2semidirect
5. #59380C2semidirect
6. #59055C2semidirect
7. #59054C2semidirect
8. #59049C2semidirect
9. #45402C2semidirect
10. #45009C2semidirect
11. #44632C2semidirect
12. #43878C2semidirect
13. #40128C2semidirect
14. #40125C2semidirect
15. #40114C2semidirect
16. #38943C2semidirect
17. #38941C2semidirect
18. #38937C2semidirect
19. #36596C2semidirect
20. #36473C2semidirect
21. #36470C2semidirect
22. #36460C2semidirect
23. #36458C2semidirect
24. #36271C2semidirect
25. #36150C2semidirect
26. #36115C2semidirect
27. #36048C2semidirect
28. #35856C2semidirect
29. #34974C2semidirect
30. #34943C2semidirect
31. #34237C2semidirect
32. #34235C2semidirect
33. #34232C2semidirect
34. C4×#556C2semidirect
35. C4×#552C2semidirect
870. #125#41semidirect

Maximal subgroups

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

subgroupindex
#595372
#594872
#594592
#594352
#593802
#590552
#590542
#590492
#454022
#450092
#446322
#438782
#401282
#401252
#401142
#389432
#389412
#389372
#365962
#364732
#364702
#364602
#364582
#362712
#361502
#361152
#360482
#358562
#349742
#349432
#342372
#342352
#342322
C4×#5562
C4×#5522