Finite Group Databasebeta

← #7968959

Subgroups — #7968959

Order 512.

5041 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#59663C212yesmaximal, complemented
2#59550C212yesmaximal, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59314C211yesmaximal, characteristic, complemented
5#59244C211yesmaximal, characteristic, complemented
6#48336C214yesmaximal, complemented
7#48159C214yesmaximal, complemented
8#46055C212yesmaximal, complemented
9#45634C212yesmaximal, complemented
10#45419C212yesmaximal, complemented
11#45417C212yesmaximal, complemented
12#44392C214yesmaximal, complemented
13#42956C212yesmaximal, complemented
14#42613C212yesmaximal, complemented
15#41352C214yesmaximal, complemented
16#40119C212yesmaximal, complemented
17#39980C212yesmaximal, complemented
18#39959C212yesmaximal, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39041C212yesmaximal, complemented
21#39000C212yesmaximal, complemented
22#38978C211yesmaximal, characteristic, complemented
23#36577C211yesmaximal, characteristic, complemented
24#36555C211yesmaximal, characteristic, complemented
25#36406C212yesmaximal, complemented
26#36404C211yesmaximal, characteristic, complemented
27#36259C211yesmaximal, characteristic, complemented
28#36181C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35199C211yesmaximal, characteristic, complemented
31#35039C212yesmaximal, complemented
32#34952C211yesmaximal, characteristic, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34464C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#552C2212yes—
40C2×#548C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#547C2212yes—
43C2×#533C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2864C2212yes—
48#2863C2212yes—
49#2862C2212yes—
50#2859C2211yescharacteristic
51#2857C2212yes—
52#2857C2212yes—
53#2857C2211yescharacteristic
54#2857C2212yes—
55#2857C2211yescharacteristic
56#2855C2212yes—
57#2854C2212yes—
58#2839C2214yes—
59#2831C2214yes—
60#2802C2214yes—
61#2783C2214yes—
62#2781C2214yes—
63#2777C2214yes—
64#2772C2214yes—
65#2764C2214yes—
66#2761C2214yes—
67#2755C2214yes—
68#2755C2214yes—
69#2755C2214yes—
70#2749C2214yes—
71#2748C2214yes—
72#2747C2214yes—
73#2744C2214yes—
74#2744C2214yes—
75#2743C2214yes—
76#2739C2214yes—
77#2732C2214yes—
78#2726C2214yes—
79#2722C2214yes—
80#2720C2214yes—
81#2715C2214yes—
82#2715C2214yes—
83#2707C2214yes—
84#2704C2214yes—
85#2704C2214yes—
86#2700C2214yes—
87#2695C2214yes—
88#2693C2214yes—
89#2692C2214yes—
90#2692C2214yes—
91#2691C2214yes—
92#2672C2214yes—
93#2667C2214yes—
94#2666C2214yes—
95#2664C2214yes—
96#2652C2214yes—
97#2649C2214yes—
98#2644C2212yes—
99#2638C2214yes—
100#2629C2212yes—
101#2629C2214yes—
102#2607C2214yes—
103#2601C2214yes—
104#2588C2214yes—
105#2587C2214yes—
106#2584C2214yes—
107#2584C2212yes—
108#2582C2212yes—
109#2582C2212yes—
110#2582C2211yescharacteristic
111#2582C2212yes—
112#2582C2211yescharacteristic
113#2582C2211yescharacteristic
114#2581C2212yes—
115#2580C2212yes—
116#2579C2214yes—
117#2577C2214yes—
118#2568C2211yescharacteristic
119#2568C2212yes—
120#2565C2212yes—
121#2558C2214yes—
122#2558C2214yes—
123#2553C2214yes—
124#2553C2214yes—
125#2553C2214yes—
126#2553C2214yes—
127#2553C2214yes—
128#2551C2211yescharacteristic
129#2549C2214yes—
130#2546C2212yes—
131#2546C2211yescharacteristic
132#2542C2212yes—
133#2538C2211yescharacteristic
134#2538C2211yescharacteristic
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2212yes—
138#2523C2214yes—
139#2522C2214yes—
140#2520C2214yes—
141#2512C2212yes—
142#2509C2212yes—
143#2508C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2506C2212yes—
147#2505C2214yes—
148#2503C2212yes—
149#2499C2212yes—
150#2499C2212yes—
151#2497C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2491C2212yes—
157#2490C2212yes—
158#2489C2212yes—
159#2487C2212yes—
160#2487C2212yes—
161#2486C2212yes—
162#2486C2212yes—
163#2486C2212yes—
164#2485C2212yes—
165#2477C2212yes—
166#2475C2212yes—
167#2473C2214yes—
168#2471C2214yes—
169#2470C2214yes—
170#2469C2214yes—
171#2464C2214yes—
172#2463C2212yes—
173#2460C2214yes—
174#2460C2212yes—
175#2459C2214yes—
176#2457C2214yes—
177#2454C2212yes—
178#2453C2212yes—
179#2453C2212yes—
180#2453C2214yes—
181#2452C2211yescharacteristic
182#2451C2212yes—
183#2451C2212yes—
184#2451C2212yes—
185#2449C2214yes—
186#2448C2212yes—
187#2446C2211yescharacteristic
188#2446C2212yes—
189#2442C2212yes—
190#2442C2214yes—
191#2442C2212yes—
192#2441C2212yes—
193#2440C2212yes—
194#2440C2212yes—
195#2439C2212yes—
196#2439C2211yescharacteristic
197#2432C2212yes—
198#2432C2211yescharacteristic
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2427C2214yes—
204#2427C2214yes—
205#2427C2211yescharacteristic
206#2426C2212yes—
207#2425C2214yes—
208#2423C2212yes—
209#2423C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2211yescharacteristic
213#2420C2212yes—
214#2417C2212yes—
215#2417C2214yes—
216#2417C2212yes—
217#2416C2212yes—
218#2415C2211yescharacteristic
219#2415C2212yes—
220#2415C2212yes—
221#2413C2214yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2211yescharacteristic
226#2398C2212yes—
227#2396C2214yes—
228#2392C2212yes—
229#2382C2214yes—
230#2378C2214yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2365C2212yes—
234#2362C2212yes—
235#2362C2211yescharacteristic
236#2361C2212yes—
237#2361C2212yes—
238#2361C2211yescharacteristic
239#2360C2212yes—
240#2360C2214yes—
241#2360C2212yes—
242#2360C2212yes—
243#2360C2214yes—
244#2354C2211yescharacteristic
245#2352C2212yes—
246#2352C2214yes—
247#2352C2211yescharacteristic
248#2352C2212yes—
249#2351C2211yescharacteristic
250#2351C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2341C2212yes—
258#2341C2211yescharacteristic
259Q8×C22⋊C4C2212yes—
260Q8×C22⋊C4C2211yescharacteristic
261#2339C2212yes—
262#2336C2214yes—
263#2332C2214yes—
264#2331C2212yes—
265#2329C2214yes—
266#2323C2214yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2318C2214yes—
271#2316C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2297C2212yes—
289#2297C2212yes—
290#2296C2212yes—
291#2295C2211yescharacteristic
292C2×#389C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303#557—44no—
304#556—48no—
305#554—216no—
306#552—48no—
307#548—28no—
308#547—44no—
309#547—48no—
310#533—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C4×#41—44no—
359C4×#41—44no—
360C2×C4×Q8—44no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#392C2312yes—
511#392C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2314yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2314yes—
729#382C2312yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2311yescharacteristic
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818C2×#95C2314yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—42no—
827C2×#41—42no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—42no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2414yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C4⋊Q8—28no—
867C4⋊Q8—24no—
868C4⋊Q8—42no—
869C4⋊Q8—44no—
870C4⋊Q8—42no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873#126—48no—
874#126—48no—
875#126—48no—
876#125—216no—
877#125—44no—
878#125—48no—
879#125—44no—
880#125—44no—
881#125—48no—
882#124—24no—
883#124—24no—
884#124—28no—
885#124—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—216no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8#4118yescomplemented
908#121—24no—
909#121—24no—
910#121—28no—
911#121—48no—
912#121—44no—
913C4×Q8—28no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—48no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—216no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949#117—28no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117—48no—
954#117—42no—
955#117—42no—
956#117—44no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—48no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—44no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203C24C2512yes—
1204#41—416no—
1205#41—416no—
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—416no—
1230C2×Q8C2×#4114yes—
1231C2×Q82−1+414yes—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—41no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D42−1+414yes—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—28no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4C2×#4114yes—
1306C22×C4H(5,𝔽2)14yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4C2×#4114yes—
1413C4⋊C4C2×#4118yes—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—22no—
1436C22⋊C4—24no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—41no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4C2×#4118yes—
1463C42—24no—
1464C42—22no—
1465C42—28no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—28no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—42no—
1489C42—41no—
1490C42—42no—
1491C42—44no—
1492C42—44no—
1493C42—42no—
1494C42—41no—
1495C42—44no—
1496C42—44no—
1497C42H(5,𝔽2)14yes—
1498C23—22no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23C22×#4112yes—
1524C23C2×H(5,𝔽2)12yes—
1525C23C2×2−1+414yes—
1526C23C2611yescharacteristic
1527Q8—28no—
1528Q8—28no—
1529Q8—48no—
1530Q8—44no—
1531Q8—44no—
1532Q8—48no—
1533Q8—88no—
1534Q8—84no—
1535D4—28no—
1536D4—48no—
1537D4—48no—
1538D4—48no—
1539D4—44no—
1540D4—48no—
1541D4—44no—
1542D4—88no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—28no—
1558C2×C4—28no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—88no—
1634C2×C4—84no—
1635C2×C4—82no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4112yes—
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+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C22—22no—
1654C22—24no—
1655C22—22no—
1656C22—24no—
1657C22—22no—
1658C22—24no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
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—22no—
1690C4—24no—
1691C4—24no—
1692C4—24no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—44no—
1706C4—44no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—44no—
1716C4—42no—
1717C4#352014yes—
1718C4#353614yes—
1719C2—42no—
1720C2—44no—
1721C2—42no—
1722C2—82no—
1723C2C2×#353611yescharacteristic
1724C2C2×#352011yescharacteristic
1725C2#6280011yescharacteristic
1726C2#6292711yescharacteristic
1727C2#6294611yescharacteristic
1728C2#6299811yescharacteristic
1729C2#6303211yescharacteristic
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. #59663C2semidirect
2. #59550C2semidirect
3. #59418C2semidirect
4. #59314C2semidirect
5. #59244C2semidirect
6. #48336C2semidirect
7. #48159C2semidirect
8. #46055C2semidirect
9. #45634C2semidirect
10. #45419C2semidirect
11. #45417C2semidirect
12. #44392C2semidirect
13. #42956C2semidirect
14. #42613C2semidirect
15. #41352C2semidirect
16. #40119C2semidirect
17. #39980C2semidirect
18. #39959C2semidirect
19. #39599C2semidirect
20. #39041C2semidirect
21. #39000C2semidirect
22. #38978C2semidirect
23. #36577C2semidirect
24. #36555C2semidirect
25. #36406C2semidirect
26. #36404C2semidirect
27. #36259C2semidirect
28. #36181C2semidirect
29. #35280C2semidirect
30. #35199C2semidirect
31. #35039C2semidirect
32. #34952C2semidirect
33. #34720C2semidirect
34. #34464C2semidirect
35. C4×#548C2semidirect
907. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#596632
#595502
#594182
#593142
#592442
#483362
#481592
#460552
#456342
#454192
#454172
#443922
#429562
#426132
#413522
#401192
#399802
#399592
#395992
#390412
#390002
#389782
#365772
#365552
#364062
#364042
#362592
#361812
#352802
#351992
#350392
#349522
#347202
#344642
C4×#5482