Finite Group Databasebeta

← #7685849

Subgroups — #7685849

Order 512.

5009 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59593C212yesmaximal, complemented
2#59551C212yesmaximal, complemented
3#59459C211yesmaximal, characteristic, complemented
4#59274C212yesmaximal, complemented
5#59270C214yesmaximal, complemented
6#59134C211yesmaximal, characteristic, complemented
7#59111C212yesmaximal, complemented
8#59055C211yesmaximal, characteristic, complemented
9#45000C212yesmaximal, complemented
10#44994C212yesmaximal, complemented
11#43992C214yesmaximal, complemented
12#43985C214yesmaximal, complemented
13#39007C212yesmaximal, complemented
14#38999C212yesmaximal, complemented
15#38984C211yesmaximal, characteristic, complemented
16#38940C211yesmaximal, characteristic, complemented
17#38403C214yesmaximal, complemented
18#38055C212yesmaximal, complemented
19#36552C211yesmaximal, characteristic, complemented
20#36454C211yesmaximal, characteristic, complemented
21#36422C212yesmaximal
22#36375C212yesmaximal, complemented
23#36186C211yesmaximal, characteristic, complemented
24#36178C212yesmaximal, complemented
25#36133C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35919C212yesmaximal, complemented
28#35869C212yesmaximal, complemented
29#34947C212yesmaximal, complemented
30#34780C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34196C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic
35C2×#2365C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2212yes—
41C22×C4⋊Q8C2211yescharacteristic
42C2×C4×#41C2212yes—
43C22×C4×Q8C2212yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2854C2212yes—
50#2853C2214yes—
51#2851C2212yes—
52#2794C2214yes—
53#2792C2214yes—
54#2790C2214yes—
55#2775C2214yes—
56#2767C2214yes—
57#2767C2214yes—
58#2765C2214yes—
59#2764C2214yes—
60#2763C2214yes—
61#2763C2214yes—
62#2762C2214yes—
63#2759C2214yes—
64#2758C2214yes—
65#2757C2214yes—
66#2755C2214yes—
67#2754C2214yes—
68#2737C2214yes—
69#2725C2214yes—
70#2721C2214yes—
71#2719C2214yes—
72#2716C2214yes—
73#2655C2214yes—
74#2650C2214yes—
75#2645C2212yes—
76#2640C2212yes—
77#2597C2214yes—
78#2596C2214yes—
79#2590C2214yes—
80#2589C2214yes—
81#2588C2214yes—
82#2586C2214yes—
83#2586C2214yes—
84#2584C2212yes—
85#2581C2212yes—
86#2575C2214yes—
87#2575C2214yes—
88#2574C2214yes—
89#2568C2212yes—
90#2568C2211yescharacteristic
91#2567C2212yes—
92#2567C2212yes—
93#2566C2214yes—
94#2565C2214yes—
95#2564C2214yes—
96#2564C2214yes—
97#2563C2212yes—
98#2552C2211yescharacteristic
99#2551C2211yescharacteristic
100#2550C2212yes—
101#2550C2212yes—
102#2547C2211yescharacteristic
103#2546C2211yescharacteristic
104#2545C2212yes—
105#2542C2211yescharacteristic
106#2542C2212yes—
107#2530C2214yes—
108#2529C2214yes—
109#2528C2214yes—
110#2527C2214yes—
111#2525C2214yes—
112#2524C2214yes—
113#2524C2212yes—
114#2520C2214yes—
115#2519C2214yes—
116#2517C2214yes—
117#2515C2212yes—
118#2514C2212yes—
119#2514C2211yescharacteristic
120#2512C2212yes—
121#2511C2212yes—
122#2511C2212yes—
123#2511C2212yes—
124#2510C2214yes—
125#2508C2212yes—
126#2508C2211yescharacteristic
127#2506C2212yes—
128#2506C2212yes—
129#2505C2214yes—
130#2505C2214yes—
131#2503C2211yescharacteristic
132#2502C2212yes—
133#2498C2214yes—
134#2495C2212yes—
135#2495C2211yescharacteristic
136#2493C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2492C2212yes—
140#2489C2212yes—
141#2489C2212yes—
142#2489C2211yescharacteristic
143#2488C2214yes—
144#2486C2211yescharacteristic
145#2485C2212yes—
146#2481C2214yes—
147#2479C2214yes—
148#2478C2214yes—
149#2475C2214yes—
150#2469C2214yes—
151#2466C2214yes—
152#2465C2214yes—
153#2465C2214yes—
154#2462C2214yes—
155#2462C2214yes—
156#2458C2214yes—
157#2458C2214yes—
158#2453C2214yes—
159#2453C2212yes—
160#2451C2212yes—
161#2451C2212yes—
162#2451C2212yes—
163#2451C2212yes—
164#2451C2212yes—
165#2448C2212yes—
166#2447C2212yes—
167#2446C2212yes—
168#2446C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2442C2212yes—
172#2442C2211yescharacteristic
173#2440C2212yes—
174#2439C2212yes—
175#2439C2212yes—
176#2439C2212yes—
177#2438C2214yes—
178#2438C2214yes—
179#2436C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2423C2212yes—
185#2421C2212yes—
186#2419C2214yes—
187#2419C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2417C2211yescharacteristic
191#2417C2212yes—
192#2415C2212yes—
193#2413C2214yes—
194#2409C2212yes—
195#2406C2214yes—
196#2402C2212yes—
197#2401C2212yes—
198#2396C2214yes—
199#2396C2214yes—
200#2373C2214yes—
201#2370C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2365C2211yescharacteristic
206#2365C2212yes—
207#2365C2212yes—
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2212yes—
216#2365C2214yes—
217#2365C2211yescharacteristic
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2361C2211yescharacteristic
223#2361C2211yescharacteristic
224#2360C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2359C2212yes—
229#2359C2214yes—
230#2359C2212yes—
231#2356C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2355C2214yes—
236#2355C2214yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2352C2212yes—
240#2352C2212yes—
241#2351C2212yes—
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2212yes—
244Q8×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246#2346C2212yes—
247#2344C2214yes—
248#2344C2212yes—
249#2344C2211yescharacteristic
250#2344C2211yescharacteristic
251#2344C2214yes—
252#2343C2214yes—
253Q8×C22⋊C4C2212yes—
254Q8×C22⋊C4C2212yes—
255#2339C2212yes—
256#2336C2214yes—
257#2334C2214yes—
258#2326C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2320C2214yes—
262#2320C2214yes—
263#2320C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2297C2214yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283C2×#391C2212yes—
284C2×#389C2212yes—
285C2×#387C2214yes—
286#2285C2214yes—
287#2285C2212yes—
288#2283C2211yescharacteristic
289#2283C2214yes—
290#2283C2212yes—
291#2276C2212yes—
292#2276C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#556—28no—
302#552—48no—
303#547—28no—
304#533—28no—
305#533—48no—
306C2×C4⋊Q8—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C4×#41—48no—
344C2×C4×Q8—216no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C42C2314yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2314yes—
681#384C2314yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#383C2314yes—
686#383C2312yes—
687#383C2314yes—
688#383C2312yes—
689#383C2314yes—
690#383C2312yes—
691#382C2311yescharacteristic
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#381C2312yes—
707#381C2314yes—
708#381C2312yes—
709#381C2314yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8#4118yescomplemented
861#126—216no—
862#126—48no—
863#125—28no—
864#125—24no—
865#125—48no—
866#125—44no—
867#125—48no—
868#124—28no—
869#124—44no—
870#123—28no—
871#123—28no—
872#123—28no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885#121—24no—
886#121—24no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—216no—
894C4×Q8—216no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916#117—28no—
917#117—28no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—48no—
922#117—48no—
923#117—44no—
924C2×C4⋊C4—216no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4#4118yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C42—28no—
1044C2×C42—216no—
1045C2×C42—28no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42—44no—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2511yescharacteristic
1179#41—432no—
1180C2×Q8—24no—
1181C2×Q8—28no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—28no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—432no—
1201C2×Q8C2×#4118yes—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D42−1+414yes—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—28no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4C2×#4118yes—
1260C22×C4C2×#4114yes—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4118yes—
1366C4⋊C4C2×#4118yes—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4118yes—
1369C4⋊C42−1+414yes—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C42—28no—
1405C42—24no—
1406C42—24no—
1407C42—28no—
1408C42—28no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—28no—
1419C42—28no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—41no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42C2×#4114yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23C22×#4112yes—
1462C23C2×H(5,𝔽2)12yes—
1463C23C2×2−1+412yes—
1464C23C2×2−1+412yes—
1465C23C2611yescharacteristic
1466Q8—216no—
1467Q8—416no—
1468Q8—48no—
1469Q8—48no—
1470Q8—44no—
1471Q8—48no—
1472Q8—88no—
1473D4—28no—
1474D4—48no—
1475D4—48no—
1476D4—44no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—216no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—48no—
1566C2×C4—416no—
1567C2×C4—48no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4118yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4C2×2−1+414yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4#58512yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22#352014yes—
1610C22C23×#4111yescharacteristic
1611C22C23×#4111yescharacteristic
1612C22C22×H(5,𝔽2)11yescharacteristic
1613C22C22×2−1+411yescharacteristic
1614C22C22×2−1+411yescharacteristic
1615C22C2×#58511yescharacteristic
1616C222−1+611yescharacteristic
1617C4—22no—
1618C4—24no—
1619C4—24no—
1620C4—24no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—28no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—44no—
1647C4#347514yes—
1648C4#352214yes—
1649C2—24no—
1650C2—42no—
1651C2—82no—
1652C2C2×#347511yescharacteristic
1653C2C2×#352011yescharacteristic
1654C2C2×#352211yescharacteristic
1655C2#6296011yescharacteristic
1656C2#6299811yescharacteristic
1657C2#6299811yescharacteristic
1658C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59593C2semidirect
2. #59551C2semidirect
3. #59459C2semidirect
4. #59274C2semidirect
5. #59270C2semidirect
6. #59134C2semidirect
7. #59111C2semidirect
8. #59055C2semidirect
9. #45000C2semidirect
10. #44994C2semidirect
11. #43992C2semidirect
12. #43985C2semidirect
13. #39007C2semidirect
14. #38999C2semidirect
15. #38984C2semidirect
16. #38940C2semidirect
17. #38403C2semidirect
18. #38055C2semidirect
19. #36552C2semidirect
20. #36454C2semidirect
22. #36375C2semidirect
23. #36186C2semidirect
24. #36178C2semidirect
25. #36133C2semidirect
26. #36129C2semidirect
27. #35919C2semidirect
28. #35869C2semidirect
29. #34947C2semidirect
30. #34780C2semidirect
31. #34324C2semidirect
32. #34235C2semidirect
33. #34196C2semidirect
35. C2×#2365C2semidirect
860. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595932
#595512
#594592
#592742
#592702
#591342
#591112
#590552
#450002
#449942
#439922
#439852
#390072
#389992
#389842
#389402
#384032
#380552
#365522
#364542
#364222
#363752
#361862
#361782
#361332
#361292
#359192
#358692
#349472
#347802
#343242
#342352
#341962
C4×#5472
C2×#23652