Finite Group Databasebeta

← #7690783

Subgroups — #7690783

Order 512.

5264 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59734C214yesmaximal, complemented
2#59717C212yesmaximal, complemented
3#59646C211yesmaximal, characteristic, complemented
4#59640C212yesmaximal, complemented
5#59633C212yesmaximal, complemented
6#59244C211yesmaximal, characteristic, complemented
7#59228C211yesmaximal, characteristic, complemented
8#59049C212yesmaximal, complemented
9#45256C212yesmaximal, complemented
10#44907C212yesmaximal, complemented
11#44076C214yesmaximal, complemented
12#43192C214yesmaximal, complemented
13#40276C214yesmaximal, complemented
14#39795C212yesmaximal, complemented
15#39725C211yesmaximal, characteristic, complemented
16#39552C212yesmaximal, complemented
17#39227C212yesmaximal, complemented
18#39138C211yesmaximal, characteristic, complemented
19#36537C212yesmaximal, complemented
20#36526C212yesmaximal, complemented
21#36497C211yesmaximal, characteristic, complemented
22#36453C211yesmaximal, characteristic, complemented
23#36443C212yesmaximal, complemented
24#36302C211yesmaximal, characteristic, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36126C211yesmaximal, characteristic, complemented
27#35785C212yesmaximal, complemented
28#35768C212yesmaximal, complemented
29#34919C211yesmaximal, characteristic, complemented
30#34715C212yesmaximal, complemented
31#34316C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#553C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2212yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2212yes—
44#2864C2212yes—
45#2861C2212yes—
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2212yes—
50#2854C2212yes—
51#2852C2214yes—
52#2808C2214yes—
53#2803C2214yes—
54#2803C2214yes—
55#2803C2214yes—
56#2803C2214yes—
57#2803C2214yes—
58#2800C2214yes—
59#2797C2214yes—
60#2787C2214yes—
61#2786C2214yes—
62#2779C2214yes—
63#2778C2214yes—
64#2759C2214yes—
65#2756C2214yes—
66#2715C2214yes—
67#2714C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2676C2214yes—
72#2673C2214yes—
73#2661C2214yes—
74#2648C2214yes—
75#2619C2212yes—
76#2619C2212yes—
77#2602C2214yes—
78#2602C2214yes—
79#2602C2214yes—
80#2601C2214yes—
81#2600C2214yes—
82#2599C2214yes—
83#2597C2214yes—
84#2597C2214yes—
85#2596C2214yes—
86#2595C2214yes—
87#2594C2214yes—
88#2593C2214yes—
89#2593C2214yes—
90#2592C2214yes—
91#2580C2212yes—
92#2578C2214yes—
93#2576C2214yes—
94#2575C2214yes—
95#2570C2212yes—
96#2562C2212yes—
97#2560C2214yes—
98#2560C2212yes—
99#2558C2212yes—
100#2557C2214yes—
101#2554C2214yes—
102#2552C2211yescharacteristic
103#2551C2211yescharacteristic
104#2550C2211yescharacteristic
105#2550C2212yes—
106#2548C2214yes—
107#2548C2212yes—
108#2548C2211yescharacteristic
109#2548C2212yes—
110#2545C2211yescharacteristic
111#2544C2214yes—
112#2541C2211yescharacteristic
113#2541C2212yes—
114#2541C2212yes—
115#2540C2212yes—
116#2540C2211yescharacteristic
117#2538C2211yescharacteristic
118#2537C2211yescharacteristic
119#2536C2211yescharacteristic
120#2535C2212yes—
121#2535C2212yes—
122#2531C2214yes—
123#2523C2214yes—
124#2520C2214yes—
125#2519C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2512C2212yes—
131#2500C2212yes—
132#2500C2212yes—
133#2500C2212yes—
134#2496C2212yes—
135#2495C2212yes—
136#2494C2212yes—
137#2494C2212yes—
138#2491C2212yes—
139#2491C2212yes—
140#2491C2211yescharacteristic
141#2491C2212yes—
142#2490C2212yes—
143#2490C2212yes—
144#2490C2212yes—
145#2490C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2489C2211yescharacteristic
149#2485C2212yes—
150#2476C2214yes—
151#2476C2214yes—
152#2474C2214yes—
153#2474C2214yes—
154#2469C2214yes—
155#2468C2214yes—
156#2467C2214yes—
157#2467C2214yes—
158#2466C2214yes—
159#2462C2214yes—
160#2461C2214yes—
161#2461C2214yes—
162#2461C2212yes—
163#2460C2214yes—
164#2459C2214yes—
165#2459C2214yes—
166#2459C2214yes—
167#2456C2214yes—
168#2453C2212yes—
169#2452C2212yes—
170#2451C2212yes—
171#2448C2214yes—
172#2445C2212yes—
173#2445C2214yes—
174#2445C2212yes—
175#2439C2212yes—
176#2432C2212yes—
177#2431C2212yes—
178#2431C2214yes—
179#2430C2214yes—
180#2429C2211yescharacteristic
181#2427C2212yes—
182#2427C2212yes—
183#2426C2211yescharacteristic
184#2422C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2416C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2396C2212yes—
197#2392C2214yes—
198#2392C2212yes—
199#2388C2214yes—
200#2374C2214yes—
201#2374C2214yes—
202#2374C2212yes—
203#2373C2212yes—
204#2373C2214yes—
205#2370C2214yes—
206#2370C2211yescharacteristic
207#2370C2212yes—
208#2369C2212yes—
209#2367C2212yes—
210#2366C2211yescharacteristic
211#2366C2212yes—
212#2365C2212yes—
213#2365C2212yes—
214#2365C2212yes—
215#2364C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2363C2214yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2211yescharacteristic
222#2363C2212yes—
223#2363C2212yes—
224#2362C2214yes—
225#2362C2212yes—
226#2361C2212yes—
227#2361C2212yes—
228#2361C2211yescharacteristic
229#2357C2212yes—
230#2357C2214yes—
231#2357C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2212yes—
237#2354C2212yes—
238#2354C2212yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yes—
243#2353C2212yes—
244#2352C2211yescharacteristic
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2347C2211yescharacteristic
251#2345C2211yescharacteristic
252#2345C2212yes—
253#2341C2214yes—
254#2341C2212yes—
255#2335C2214yes—
256#2335C2214yes—
257#2335C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2317C2212yes—
262#2314C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×C22⋊Q8C2214yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2214yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2214yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2214yes—
286#2293C2212yes—
287#2293C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#556—48no—
302#553—28no—
303#550—28no—
304#547—216no—
305#533—28no—
306#532—48no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2314yes—
315#529—28no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C4×#41—48no—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2314yes—
413C22×C42C2312yes—
414C22×C42C2312yes—
415#401C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#399C2314yes—
421#399C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#395C2314yes—
450#395C2312yes—
451#395C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#383C2312yes—
701#383C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—216no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—48no—
823C2×#41—84no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865#127—24no—
866#127—28no—
867#127—44no—
868#127—84no—
869#126—28no—
870#126—28no—
871#126—48no—
872#126—48no—
873#125—24no—
874#125—28no—
875#125—24no—
876#125—44no—
877#125—82no—
878#124—24no—
879#124—44no—
880#124—42no—
881#124—44no—
882#124—48no—
883#124—48no—
884#124—84no—
885#123—216no—
886#123—28no—
887#123—216no—
888#123—28no—
889#123—48no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—24no—
893C22⋊Q8—28no—
894C22⋊Q8—216no—
895C22⋊Q8—24no—
896C22⋊Q8—44no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—28no—
903#121—216no—
904#121—24no—
905#121—24no—
906#121—48no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—82no—
914#121—82no—
915C4×Q8—24no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—42no—
919C4×Q8—44no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—84no—
923C4×Q8#4118yescomplemented
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—42no—
935C4×D4—48no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4—84no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—28no—
953#117—48no—
954#117—42no—
955#117—44no—
956#117—44no—
957#117—44no—
958#117—84no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4#4118yescomplemented
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42—48no—
1092C2×C42—44no—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2414yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2514yes—
1197C24C2511yescharacteristic
1198#41—432no—
1199#41—832no—
1200C2×Q8—22no—
1201C2×Q8—28no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—44no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8C2×#4114yes—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—44no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4C2×#4114yes—
1310C22×C4C2×#4118yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4C2×#4118yes—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4118yes—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—28no—
1481C42—24no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—24no—
1487C42—42no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—42no—
1492C42—44no—
1493C42—44no—
1494C42—42no—
1495C42—44no—
1496C42—42no—
1497C42—44no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—42no—
1502C42—44no—
1503C42—44no—
1504C42—41no—
1505C42C2×#4114yes—
1506C42C2×#4118yes—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—24no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23C22×#4112yes—
1542C23C2611yescharacteristic
1543Q8—28no—
1544Q8—416no—
1545Q8—44no—
1546Q8—84no—
1547D4—48no—
1548D4—416no—
1549D4—44no—
1550D4—48no—
1551D4—48no—
1552D4—44no—
1553D4—44no—
1554D4—48no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—164no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—28no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—48no—
1642C2×C4—416no—
1643C2×C4—416no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—84no—
1650C2×C4—82no—
1651C2×C4—82no—
1652C2×C4—88no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4114yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C2×H(5,𝔽2)14yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—44no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—41no—
1689C22—44no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—42no—
1698C22—41no—
1699C22—44no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—44no—
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C4—24no—
1713C4—24no—
1714C4—24no—
1715C4—22no—
1716C4—24no—
1717C4—22no—
1718C4—24no—
1719C4—22no—
1720C4—41no—
1721C4—44no—
1722C4—41no—
1723C4—41no—
1724C4—42no—
1725C4—44no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—44no—
1740C4#348014yes—
1741C4#350614yes—
1742C2—42no—
1743C2—84no—
1744C2—82no—
1745C2—82no—
1746C2—81no—
1747C2C2×#348011yescharacteristic
1748C2C2×#350611yescharacteristic
1749C2#6279311yescharacteristic
1750C2#6296911yescharacteristic
1751C2#6298311yescharacteristic
1752C2#6299411yescharacteristic
1753C2#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. #59734C2semidirect
2. #59717C2semidirect
3. #59646C2semidirect
4. #59640C2semidirect
5. #59633C2semidirect
6. #59244C2semidirect
7. #59228C2semidirect
8. #59049C2semidirect
9. #45256C2semidirect
10. #44907C2semidirect
11. #44076C2semidirect
12. #43192C2semidirect
13. #40276C2semidirect
14. #39795C2semidirect
15. #39725C2semidirect
16. #39552C2semidirect
17. #39227C2semidirect
18. #39138C2semidirect
19. #36537C2semidirect
20. #36526C2semidirect
21. #36497C2semidirect
22. #36453C2semidirect
23. #36443C2semidirect
24. #36302C2semidirect
25. #36211C2semidirect
26. #36126C2semidirect
27. #35785C2semidirect
28. #35768C2semidirect
29. #34919C2semidirect
30. #34715C2semidirect
31. #34316C2semidirect
32. #34242C2semidirect
33. #34213C2semidirect
34. C4×#553C2semidirect
35. C4×#550C2semidirect
923. C4×Q8#41semidirect
961. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#597342
#597172
#596462
#596402
#596332
#592442
#592282
#590492
#452562
#449072
#440762
#431922
#402762
#397952
#397252
#395522
#392272
#391382
#365372
#365262
#364972
#364532
#364432
#363022
#362112
#361262
#357852
#357682
#349192
#347152
#343162
#342422
#342132
C4×#5532
C4×#5502