Finite Group Databasebeta

← #7979532

Subgroups — #7979532

Order 512.

5045 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59397C212yesmaximal, complemented
3#59100C212yesmaximal, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#48305C214yesmaximal, complemented
7#48001C214yesmaximal, complemented
8#45603C212yesmaximal, complemented
9#45512C212yesmaximal, complemented
10#45224C212yesmaximal, complemented
11#45122C212yesmaximal, complemented
12#44409C214yesmaximal, complemented
13#42628C212yesmaximal, complemented
14#42428C212yesmaximal, complemented
15#42046C214yesmaximal, complemented
16#40100C212yesmaximal, complemented
17#40055C212yesmaximal, complemented
18#39914C212yesmaximal, complemented
19#39752C212yesmaximal, complemented
20#39691C212yesmaximal, complemented
21#39515C211yesmaximal, characteristic, complemented
22#39126C211yesmaximal, characteristic, complemented
23#36564C211yesmaximal, characteristic, complemented
24#36444C211yesmaximal, characteristic, complemented
25#36374C212yesmaximal, complemented
26#36276C211yesmaximal, characteristic, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36133C211yesmaximal, characteristic, complemented
29#35297C212yesmaximal, complemented
30#35241C211yesmaximal, characteristic, complemented
31#35170C211yesmaximal, characteristic, complemented
32#34947C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34419C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#533C2212yes—
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×C4×#41C2212yes—
46C2×C4×#41C2211yescharacteristic
47#2862C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2855C2212yes—
56#2854C2212yes—
57#2850C2212yes—
58#2831C2214yes—
59#2814C2214yes—
60#2809C2214yes—
61#2806C2214yes—
62#2805C2214yes—
63#2799C2214yes—
64#2799C2214yes—
65#2798C2214yes—
66#2788C2214yes—
67#2787C2214yes—
68#2786C2214yes—
69#2783C2214yes—
70#2781C2214yes—
71#2779C2214yes—
72#2774C2214yes—
73#2772C2214yes—
74#2768C2214yes—
75#2759C2214yes—
76#2750C2214yes—
77#2746C2214yes—
78#2745C2214yes—
79#2744C2214yes—
80#2739C2214yes—
81#2738C2214yes—
82#2728C2214yes—
83#2708C2214yes—
84#2702C2214yes—
85#2700C2214yes—
86#2695C2214yes—
87#2695C2214yes—
88#2690C2214yes—
89#2687C2214yes—
90#2681C2214yes—
91#2672C2214yes—
92#2672C2214yes—
93#2666C2214yes—
94#2664C2214yes—
95#2663C2214yes—
96#2659C2214yes—
97#2655C2214yes—
98#2629C2212yes—
99#2628C2212yes—
100#2625C2214yes—
101#2616C2214yes—
102#2592C2212yes—
103#2590C2214yes—
104#2586C2214yes—
105#2584C2214yes—
106#2581C2212yes—
107#2581C2212yes—
108#2581C2212yes—
109#2578C2214yes—
110#2577C2214yes—
111#2574C2214yes—
112#2571C2212yes—
113#2569C2214yes—
114#2569C2214yes—
115#2568C2211yescharacteristic
116#2568C2211yescharacteristic
117#2567C2212yes—
118#2567C2211yescharacteristic
119#2566C2212yes—
120#2565C2212yes—
121#2565C2212yes—
122#2564C2214yes—
123#2563C2211yescharacteristic
124#2562C2214yes—
125#2562C2212yes—
126#2556C2214yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2549C2214yes—
131#2549C2214yes—
132#2549C2214yes—
133#2547C2212yes—
134#2547C2211yescharacteristic
135#2547C2211yescharacteristic
136#2546C2211yescharacteristic
137#2545C2212yes—
138#2542C2211yescharacteristic
139#2537C2212yes—
140#2537C2211yescharacteristic
141#2537C2212yes—
142#2536C2212yes—
143#2536C2212yes—
144#2536C2212yes—
145#2521C2214yes—
146#2514C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2509C2214yes—
150#2507C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2502C2212yes—
154#2498C2214yes—
155#2496C2212yes—
156#2495C2212yes—
157#2494C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2491C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2485C2214yes—
166#2485C2214yes—
167#2478C2212yes—
168#2477C2214yes—
169#2477C2214yes—
170#2476C2214yes—
171#2474C2214yes—
172#2474C2214yes—
173#2470C2212yes—
174#2466C2212yes—
175#2465C2214yes—
176#2465C2214yes—
177#2462C2214yes—
178#2460C2214yes—
179#2459C2214yes—
180#2455C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2211yescharacteristic
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2448C2212yes—
189#2447C2211yescharacteristic
190#2446C2212yes—
191#2444C2214yes—
192#2442C2212yes—
193#2442C2212yes—
194#2441C2211yescharacteristic
195#2440C2212yes—
196#2440C2212yes—
197#2438C2214yes—
198#2434C2212yes—
199#2432C2211yescharacteristic
200#2430C2214yes—
201#2429C2211yescharacteristic
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2214yes—
206#2427C2212yes—
207#2426C2212yes—
208#2422C2211yescharacteristic
209#2421C2212yes—
210#2421C2212yes—
211#2421C2214yes—
212#2421C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2416C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2214yes—
221#2415C2212yes—
222#2415C2211yescharacteristic
223#2415C2212yes—
224#2409C2212yes—
225#2407C2211yescharacteristic
226#2396C2214yes—
227#2395C2212yes—
228#2392C2212yes—
229#2379C2214yes—
230#2376C2214yes—
231#2369C2211yescharacteristic
232#2369C2212yes—
233#2367C2212yes—
234#2367C2214yes—
235#2367C2212yes—
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2212yes—
239#2365C2212yes—
240#2364C2214yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2361C2211yescharacteristic
245#2361C2211yescharacteristic
246#2359C2214yes—
247#2359C2212yes—
248#2359C2212yes—
249#2355C2212yes—
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255#2349C2212yes—
256#2349C2212yes—
257D4×C4⋊C4C2211yescharacteristic
258#2345C2212yes—
259#2344C2212yes—
260#2344C2211yescharacteristic
261#2344C2211yescharacteristic
262Q8×C22⋊C4C2212yes—
263Q8×C22⋊C4C2212yes—
264#2339C2212yes—
265#2334C2214yes—
266#2334C2214yes—
267#2329C2214yes—
268#2324C2212yes—
269#2323C2212yes—
270#2323C2212yes—
271#2323C2214yes—
272#2323C2212yes—
273#2323C2214yes—
274#2314C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2296C2212yes—
292C2×#391C2212yes—
293#2293C2211yescharacteristic
294#2285C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#554—44no—
303D4×Q8—44no—
304#548—48no—
305#547—28no—
306#542—216no—
307#533—48no—
308#533—44no—
309#533—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319#529—44no—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C4×#41—48no—
365C4×#41—44no—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2314yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419C22×C42C2312yes—
420#401C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#392C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2314yes—
548#391C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#383C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#382C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—42no—
827C22×Q8—28no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C4⋊Q8—24no—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873#126—216no—
874#126—44no—
875#125—42no—
876#125—44no—
877#125—48no—
878#125—44no—
879#125—44no—
880#124—28no—
881#124—216no—
882#124—42no—
883#124—44no—
884#124—48no—
885#123—216no—
886#123—28no—
887#123—28no—
888#123—44no—
889#123—44no—
890C22⋊Q8—24no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910#121—28no—
911#121—24no—
912#121—24no—
913#121—48no—
914#121—48no—
915#121—42no—
916#121—44no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—48no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4#4118yescomplemented
950#117—28no—
951#117—44no—
952#117—44no—
953#117—44no—
954#117—44no—
955#117—44no—
956#117—48no—
957#117—42no—
958#117—44no—
959#117—44no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C42—28no—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—44no—
1092C2×C42—44no—
1093C2×C42—44no—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204#41—416no—
1205#41—432no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—28no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—28no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—816no—
1230C2×Q82−1+414yes—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4C2×#4114yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4118yes—
1308C22×C4H(5,𝔽2)14yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4C2×#4114yes—
1414C4⋊C42−1+414yes—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—22no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—22no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—28no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—41no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4C2×#4118yes—
1463C42—24no—
1464C42—28no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—41no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42—44no—
1495C42C2×#4114yes—
1496C42H(5,𝔽2)14yes—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23C22×#4114yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23#58512yes—
1525C23C2611yescharacteristic
1526Q8—28no—
1527Q8—48no—
1528Q8—48no—
1529Q8—44no—
1530Q8—48no—
1531Q8—88no—
1532Q8—84no—
1533Q8—88no—
1534D4—28no—
1535D4—28no—
1536D4—48no—
1537D4—48no—
1538D4—48no—
1539D4—44no—
1540D4—88no—
1541D4—84no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—28no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—82no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—164no—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4112yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×2−1+414yes—
1650C2×C4C2×2−1+414yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C22—22no—
1654C22—24no—
1655C22—22no—
1656C22—22no—
1657C22—24no—
1658C22—22no—
1659C22—24no—
1660C22—22no—
1661C22—22no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C22×2−1+411yescharacteristic
1686C22C2×#58511yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—24no—
1692C4—22no—
1693C4—24no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—44no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—44no—
1717C4#351114yes—
1718C4#353614yes—
1719C2—42no—
1720C2—44no—
1721C2—42no—
1722C2—82no—
1723C2C2×#353611yescharacteristic
1724C2#6277311yescharacteristic
1725C2C2×#351111yescharacteristic
1726C2#6294211yescharacteristic
1727C2#6295411yescharacteristic
1728C2#6300111yescharacteristic
1729C2#6303811yescharacteristic
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. #59870C2semidirect
2. #59397C2semidirect
3. #59100C2semidirect
4. #59079C2semidirect
5. #59042C2semidirect
6. #48305C2semidirect
7. #48001C2semidirect
8. #45603C2semidirect
9. #45512C2semidirect
10. #45224C2semidirect
11. #45122C2semidirect
12. #44409C2semidirect
13. #42628C2semidirect
14. #42428C2semidirect
15. #42046C2semidirect
16. #40100C2semidirect
17. #40055C2semidirect
18. #39914C2semidirect
19. #39752C2semidirect
20. #39691C2semidirect
21. #39515C2semidirect
22. #39126C2semidirect
23. #36564C2semidirect
24. #36444C2semidirect
25. #36374C2semidirect
26. #36276C2semidirect
27. #36151C2semidirect
28. #36133C2semidirect
29. #35297C2semidirect
30. #35241C2semidirect
31. #35170C2semidirect
32. #34947C2semidirect
33. #34724C2semidirect
34. #34419C2semidirect
35. C4×#547C2semidirect
949. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598702
#593972
#591002
#590792
#590422
#483052
#480012
#456032
#455122
#452242
#451222
#444092
#426282
#424282
#420462
#401002
#400552
#399142
#397522
#396912
#395152
#391262
#365642
#364442
#363742
#362762
#361512
#361332
#352972
#352412
#351702
#349472
#347242
#344192
C4×#5472