Finite Group Databasebeta

← #7689626

Subgroups — #7689626

Order 512.

5237 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59944C212yesmaximal, complemented
2#59882C214yesmaximal, complemented
3#59817C211yesmaximal, characteristic, complemented
4#59811C212yesmaximal, complemented
5#59497C212yesmaximal, complemented
6#59421C212yesmaximal, complemented
7#59066C211yesmaximal, characteristic, complemented
8#59039C211yesmaximal, characteristic, complemented
9#45054C212yesmaximal, complemented
10#44938C212yesmaximal, complemented
11#43820C214yesmaximal, complemented
12#43379C214yesmaximal, complemented
13#40081C212yesmaximal, complemented
14#40068C212yesmaximal, complemented
15#39643C211yesmaximal, characteristic, complemented
16#39158C211yesmaximal, characteristic, complemented
17#38868C214yesmaximal, complemented
18#38228C212yesmaximal, complemented
19#36480C211yesmaximal, characteristic, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36462C212yesmaximal, complemented
23#36390C212yesmaximal, complemented
24#36303C212yesmaximal, complemented
25#36288C211yesmaximal, characteristic, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36044C212yesmaximal, complemented
28#35897C212yesmaximal, complemented
29#34969C212yesmaximal, complemented
30#34803C211yesmaximal, characteristic, complemented
31#34334C212yesmaximal, complemented
32#34330C211yesmaximal, characteristic, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#555C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2212yes—
41C2×#547C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44#2863C2212yes—
45#2862C2212yes—
46#2862C2211yescharacteristic
47#2860C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2850C2214yes—
52#2799C2214yes—
53#2779C2214yes—
54#2765C2214yes—
55#2761C2214yes—
56#2759C2214yes—
57#2755C2214yes—
58#2751C2214yes—
59#2750C2214yes—
60#2744C2214yes—
61#2741C2214yes—
62#2730C2214yes—
63#2730C2214yes—
64#2702C2214yes—
65#2702C2214yes—
66#2700C2214yes—
67#2695C2214yes—
68#2686C2214yes—
69#2683C2214yes—
70#2676C2214yes—
71#2676C2214yes—
72#2671C2214yes—
73#2648C2214yes—
74#2648C2214yes—
75#2647C2212yes—
76#2644C2212yes—
77#2612C2214yes—
78#2609C2214yes—
79#2607C2214yes—
80#2605C2214yes—
81#2604C2214yes—
82#2601C2214yes—
83#2589C2214yes—
84#2582C2212yes—
85#2580C2212yes—
86#2576C2214yes—
87#2574C2214yes—
88#2572C2214yes—
89#2570C2212yes—
90#2568C2212yes—
91#2567C2211yescharacteristic
92#2563C2211yescharacteristic
93#2560C2214yes—
94#2560C2214yes—
95#2559C2214yes—
96#2557C2214yes—
97#2554C2214yes—
98#2554C2214yes—
99#2551C2211yescharacteristic
100#2551C2211yescharacteristic
101#2547C2212yes—
102#2546C2211yescharacteristic
103#2542C2211yescharacteristic
104#2538C2212yes—
105#2538C2212yes—
106#2537C2212yes—
107#2535C2212yes—
108#2533C2212yes—
109#2531C2214yes—
110#2530C2214yes—
111#2527C2214yes—
112#2527C2214yes—
113#2527C2212yes—
114#2526C2214yes—
115#2523C2212yes—
116#2521C2214yes—
117#2518C2214yes—
118#2515C2214yes—
119#2514C2211yescharacteristic
120#2511C2212yes—
121#2510C2214yes—
122#2509C2212yes—
123#2509C2212yes—
124#2509C2211yescharacteristic
125#2508C2212yes—
126#2508C2212yes—
127#2503C2214yes—
128#2499C2211yescharacteristic
129#2498C2214yes—
130#2497C2212yes—
131#2496C2211yescharacteristic
132#2496C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2492C2212yes—
136#2492C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2492C2211yescharacteristic
140#2491C2212yes—
141#2491C2212yes—
142#2488C2214yes—
143#2488C2214yes—
144#2488C2214yes—
145#2488C2214yes—
146#2485C2212yes—
147#2485C2211yescharacteristic
148#2481C2214yes—
149#2477C2214yes—
150#2477C2214yes—
151#2470C2214yes—
152#2466C2212yes—
153#2465C2214yes—
154#2459C2214yes—
155#2458C2214yes—
156#2452C2212yes—
157#2452C2212yes—
158#2452C2212yes—
159#2452C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2446C2212yes—
163#2445C2212yes—
164#2445C2212yes—
165#2444C2214yes—
166#2443C2214yes—
167#2439C2211yescharacteristic
168#2439C2212yes—
169#2439C2212yes—
170#2439C2212yes—
171#2436C2214yes—
172#2436C2214yes—
173#2432C2212yes—
174#2430C2214yes—
175#2429C2212yes—
176#2428C2212yes—
177#2428C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2426C2214yes—
182#2423C2212yes—
183#2422C2212yes—
184#2422C2212yes—
185#2421C2214yes—
186#2420C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2415C2212yes—
190#2415C2211yescharacteristic
191#2409C2214yes—
192#2407C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2401C2214yes—
197#2401C2212yes—
198#2398C2214yes—
199#2398C2212yes—
200#2372C2214yes—
201#2372C2212yes—
202#2372C2212yes—
203#2369C2211yescharacteristic
204#2369C2212yes—
205#2369C2211yescharacteristic
206#2369C2211yescharacteristic
207#2368C2214yes—
208#2368C2214yes—
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2366C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2364C2214yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2211yescharacteristic
220#2363C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2211yescharacteristic
225#2363C2212yes—
226#2363C2212yes—
227#2362C2212yes—
228#2360C2214yes—
229#2357C2212yes—
230#2357C2212yes—
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2353C2214yes—
237#2349C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2212yes—
240#2347C2212yes—
241#2346C2212yes—
242#2346C2212yes—
243#2346C2211yescharacteristic
244#2346C2211yescharacteristic
245#2343C2214yes—
246#2341C2212yes—
247Q8×C22⋊C4C2214yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2333C2214yes—
254#2333C2214yes—
255#2331C2212yes—
256#2331C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2328C2212yes—
260#2319C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2214yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2297C2212yes—
281#2297C2214yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2212yes—
285C2×#391C2214yes—
286#2293C2212yes—
287#2293C2212yes—
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2275C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2314yes—
303#556—48no—
304#555—28no—
305#550—28no—
306D4×Q8—216no—
307D4×Q8—48no—
308#547—48no—
309#532—28no—
310#532—28no—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C22×C4⋊C4C2314yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2314yes—
402#401C2312yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#393C2312yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#383C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C22⋊C4C2311yescharacteristic
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—82no—
827C22×Q8—216no—
828C22×Q8—48no—
829C22×Q8—84no—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8#4118yescomplemented
873#127—28no—
874#127#4118yes—
875#126—44no—
876#126—48no—
877#126—48no—
878#124—28no—
879#124—28no—
880#124—28no—
881#124—28no—
882#124—48no—
883#124—84no—
884#123—48no—
885#123—48no—
886#123—48no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—216no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898C22⋊Q8—82no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—24no—
906#121—24no—
907#121—28no—
908#121—48no—
909#121—84no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—48no—
915C4×Q8—44no—
916C4×Q8—84no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—82no—
939C4×D4—84no—
940#117—24no—
941#117—24no—
942#117—28no—
943#117—24no—
944#117—24no—
945#117—24no—
946#117—48no—
947#117—44no—
948#117—42no—
949#117—44no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—84no—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
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#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2511yescharacteristic
1187C24C2514yes—
1188#41—816no—
1189#41—816no—
1190#41—816no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—28no—
1194C2×Q8—24no—
1195C2×Q8—28no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—28no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—832no—
1212C2×Q8C2×#4118yes—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4C2×#4118yes—
1244C2×D4C2×#4118yes—
1245C2×D4C2×#4118yes—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—41no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—41no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C4⋊C4C2×#4118yes—
1382C4⋊C4H(5,𝔽2)14yes—
1383C4⋊C42−1+414yes—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—41no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—42no—
1468C42—42no—
1469C42—44no—
1470C42—41no—
1471C42—41no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—42no—
1476C42C2×#4114yes—
1477C42C2×#4114yes—
1478C23—24no—
1479C23—24no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23C22×#4118yes—
1506C23C2611yescharacteristic
1507Q8—48no—
1508Q8—416no—
1509Q8—48no—
1510Q8—48no—
1511Q8—44no—
1512Q8—88no—
1513Q8—84no—
1514D4—216no—
1515D4—216no—
1516D4—48no—
1517D4—44no—
1518D4—44no—
1519D4—84no—
1520D4—84no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—416no—
1605C2×C4—44no—
1606C2×C4—416no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—88no—
1615C2×C4—84no—
1616C2×C4—88no—
1617C2×C4—88no—
1618C2×C4—88no—
1619C2×C4—88no—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4114yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+414yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C22—28no—
1635C22—28no—
1636C22—28no—
1637C22—44no—
1638C22—44no—
1639C22—44no—
1640C22—44no—
1641C22—41no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×2−1+411yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22H(7,𝔽2)11yescharacteristic
1669C4—24no—
1670C4—24no—
1671C4—22no—
1672C4—24no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—24no—
1677C4—42no—
1678C4—44no—
1679C4—44no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4#348214yes—
1699C4#351414yes—
1700C2—48no—
1701C2—81no—
1702C2—81no—
1703C2—82no—
1704C2C2×#348211yescharacteristic
1705C2C2×#351411yescharacteristic
1706C2#6279311yescharacteristic
1707C2#6295111yescharacteristic
1708C2#6298311yescharacteristic
1709C2#6299011yescharacteristic
1710C2#6303911yescharacteristic
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. #59944C2semidirect
2. #59882C2semidirect
3. #59817C2semidirect
4. #59811C2semidirect
5. #59497C2semidirect
6. #59421C2semidirect
7. #59066C2semidirect
8. #59039C2semidirect
9. #45054C2semidirect
10. #44938C2semidirect
11. #43820C2semidirect
12. #43379C2semidirect
13. #40081C2semidirect
14. #40068C2semidirect
15. #39643C2semidirect
16. #39158C2semidirect
17. #38868C2semidirect
18. #38228C2semidirect
19. #36480C2semidirect
20. #36476C2semidirect
21. #36473C2semidirect
22. #36462C2semidirect
23. #36390C2semidirect
24. #36303C2semidirect
25. #36288C2semidirect
26. #36149C2semidirect
27. #36044C2semidirect
28. #35897C2semidirect
29. #34969C2semidirect
30. #34803C2semidirect
31. #34334C2semidirect
32. #34330C2semidirect
33. #34232C2semidirect
34. C4×#555C2semidirect
35. #34155C2semidirect
872. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599442
#598822
#598172
#598112
#594972
#594212
#590662
#590392
#450542
#449382
#438202
#433792
#400812
#400682
#396432
#391582
#388682
#382282
#364802
#364762
#364732
#364622
#363902
#363032
#362882
#361492
#360442
#358972
#349692
#348032
#343342
#343302
#342322
C4×#5552
#341552