Finite Group Databasebeta

← #7986740

Subgroups — #7986740

Order 512.

5232 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59750C212yesmaximal, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59098C212yesmaximal, complemented
4#59066C211yesmaximal, characteristic, complemented
5#59050C211yesmaximal, characteristic, complemented
6#51566C214yesmaximal, complemented
7#51395C214yesmaximal, complemented
8#46063C212yesmaximal, complemented
9#45515C212yesmaximal, complemented
10#45398C212yesmaximal, complemented
11#45358C212yesmaximal, complemented
12#43290C214yesmaximal, complemented
13#42607C212yesmaximal, complemented
14#42476C212yesmaximal, complemented
15#41041C214yesmaximal, complemented
16#40179C212yesmaximal, complemented
17#40125C212yesmaximal, complemented
18#39781C212yesmaximal, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39471C212yesmaximal, complemented
21#38922C211yesmaximal, characteristic, complemented
22#38214C212yesmaximal, complemented
23#36480C211yesmaximal, characteristic, complemented
24#36412C211yesmaximal, characteristic, complemented
25#36300C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36150C212yesmaximal, complemented
28#36126C211yesmaximal, characteristic, complemented
29#35191C211yesmaximal, characteristic, complemented
30#35173C211yesmaximal, characteristic, complemented
31#35036C212yesmaximal, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34480C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2212yes—
44C2×#532C2212yes—
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2863C2212yes—
48#2861C2212yes—
49#2860C2212yes—
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2212yes—
55#2856C2211yescharacteristic
56#2856C2212yes—
57#2854C2212yes—
58#2829C2214yes—
59#2813C2214yes—
60#2807C2214yes—
61#2803C2214yes—
62#2803C2214yes—
63#2803C2214yes—
64#2801C2214yes—
65#2801C2214yes—
66#2787C2214yes—
67#2784C2214yes—
68#2778C2214yes—
69#2759C2214yes—
70#2757C2214yes—
71#2757C2214yes—
72#2757C2214yes—
73#2756C2214yes—
74#2756C2214yes—
75#2748C2214yes—
76#2742C2214yes—
77#2730C2214yes—
78#2715C2214yes—
79#2711C2214yes—
80#2710C2214yes—
81#2710C2214yes—
82#2705C2214yes—
83#2703C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2687C2214yes—
87#2686C2214yes—
88#2682C2214yes—
89#2681C2214yes—
90#2676C2214yes—
91#2672C2214yes—
92#2671C2214yes—
93#2662C2214yes—
94#2661C2214yes—
95#2659C2214yes—
96#2649C2214yes—
97#2632C2214yes—
98#2630C2214yes—
99#2624C2212yes—
100#2619C2212yes—
101#2615C2214yes—
102#2605C2214yes—
103#2603C2214yes—
104#2587C2214yes—
105#2584C2214yes—
106#2584C2212yes—
107#2584C2212yes—
108#2580C2212yes—
109#2578C2214yes—
110#2577C2214yes—
111#2567C2211yescharacteristic
112#2567C2211yescharacteristic
113#2567C2212yes—
114#2560C2212yes—
115#2559C2214yes—
116#2558C2214yes—
117#2558C2212yes—
118#2556C2214yes—
119#2555C2214yes—
120#2555C2214yes—
121#2555C2214yes—
122#2551C2211yescharacteristic
123#2550C2211yescharacteristic
124#2548C2212yes—
125#2548C2211yescharacteristic
126#2547C2212yes—
127#2547C2211yescharacteristic
128#2546C2211yescharacteristic
129#2546C2211yescharacteristic
130#2546C2212yes—
131#2545C2211yescharacteristic
132#2542C2211yescharacteristic
133#2541C2211yescharacteristic
134#2540C2212yes—
135#2540C2211yescharacteristic
136#2540C2212yes—
137#2540C2212yes—
138#2538C2211yescharacteristic
139#2537C2212yes—
140#2536C2211yescharacteristic
141#2525C2214yes—
142#2521C2214yes—
143#2519C2212yes—
144#2518C2214yes—
145#2514C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2509C2212yes—
149#2506C2212yes—
150#2500C2212yes—
151#2497C2212yes—
152#2495C2212yes—
153#2494C2212yes—
154#2492C2212yes—
155#2492C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2211yescharacteristic
159#2490C2214yes—
160#2490C2212yes—
161#2490C2212yes—
162#2489C2211yescharacteristic
163#2487C2214yes—
164#2485C2212yes—
165#2476C2214yes—
166#2474C2214yes—
167#2474C2214yes—
168#2473C2214yes—
169#2470C2214yes—
170#2467C2214yes—
171#2465C2214yes—
172#2461C2214yes—
173#2461C2212yes—
174#2458C2214yes—
175#2454C2212yes—
176#2454C2214yes—
177#2454C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2448C2214yes—
181#2448C2214yes—
182#2448C2212yes—
183#2448C2212yes—
184#2446C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2443C2214yes—
188#2442C2212yes—
189#2441C2212yes—
190#2441C2212yes—
191#2439C2212yes—
192#2432C2212yes—
193#2432C2212yes—
194#2432C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2430C2214yes—
198#2429C2211yescharacteristic
199#2429C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2211yescharacteristic
207#2426C2212yes—
208#2426C2214yes—
209#2426C2212yes—
210#2426C2212yes—
211#2422C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2414C2214yes—
217#2414C2214yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2214yes—
225#2407C2212yes—
226#2396C2214yes—
227#2396C2212yes—
228#2392C2212yes—
229#2376C2214yes—
230#2376C2214yes—
231#2374C2212yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2369C2211yescharacteristic
235#2367C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2366C2211yescharacteristic
239#2365C2212yes—
240#2364C2212yes—
241#2363C2214yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2363C2211yescharacteristic
246#2362C2212yes—
247#2361C2212yes—
248#2361C2211yescharacteristic
249#2360C2214yes—
250#2357C2211yescharacteristic
251#2355C2211yescharacteristic
252#2354C2212yes—
253#2354C2212yes—
254#2353C2212yes—
255#2352C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2347C2212yes—
259#2347C2211yescharacteristic
260#2345C2212yes—
261#2345C2211yescharacteristic
262#2341C2214yes—
263#2341C2212yes—
264#2335C2214yes—
265#2335C2214yes—
266#2334C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2214yes—
271#2316C2212yes—
272#2316C2212yes—
273#2316C2212yes—
274#2311C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2297C2212yes—
290#2293C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2314yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#555—44no—
303#553—28no—
304#550—44no—
305#547—216no—
306#547—48no—
307#533—44no—
308#533—44no—
309#533—48no—
310#532—44no—
311#532—48no—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2314yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2314yes—
421C2×#117C2314yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429C22×C42C2312yes—
430#401C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2311yescharacteristic
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#383C2312yes—
726#383C2314yes—
727#383C2314yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#381C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—216no—
822C2×#41—44no—
823C2×#41—48no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—84no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C4⋊Q8—28no—
870C4⋊Q8—28no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877#127—24no—
878#127—44no—
879#127—44no—
880#126—28no—
881#126—48no—
882#126—44no—
883#125—24no—
884#125—42no—
885#125—44no—
886#125—44no—
887#125—48no—
888#124—44no—
889#124—44no—
890#124—42no—
891#124—44no—
892#124—44no—
893#124—42no—
894#124—44no—
895#124—48no—
896#124—48no—
897#124—84no—
898#124—82no—
899#123—216no—
900#123—216no—
901#123—28no—
902#123—48no—
903#123—48no—
904#123—44no—
905C22⋊Q8—216no—
906C22⋊Q8—28no—
907C22⋊Q8—24no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—82no—
918#121—28no—
919#121—28no—
920#121—24no—
921#121—28no—
922#121—24no—
923#121—24no—
924#121—28no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—42no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—84no—
937#121—84no—
938#121—82no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—44no—
943C4×Q8—42no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—48no—
948C4×Q8—84no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—28no—
953C4×D4—24no—
954C4×D4—28no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969#117—24no—
970#117—24no—
971#117—44no—
972#117—44no—
973#117—48no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—84no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—48no—
981C2×C4⋊C4#4118yescomplemented
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42—44no—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2514yes—
1213C24C2512yes—
1214C24C2511yescharacteristic
1215#41—832no—
1216#41—816no—
1217#41—816no—
1218C2×Q8—28no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—28no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—44no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—41no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—44no—
1330C22×C4—41no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4C2×#4114yes—
1334C22×C4C2×#4118yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2514yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—41no—
1403C4⋊C4—42no—
1404C4⋊C4—41no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4C2×#4114yes—
1425C4⋊C4C2×#4114yes—
1426C4⋊C4C2×#4118yes—
1427C4⋊C4H(5,𝔽2)14yes—
1428C4⋊C42−1+414yes—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—22no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C42—24no—
1496C42—22no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—42no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—42no—
1524C42—44no—
1525C42—42no—
1526C42—42no—
1527C42—42no—
1528C42—44no—
1529C42—41no—
1530C42H(5,𝔽2)14yes—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—24no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—24no—
1548C23—21no—
1549C23—21no—
1550C23—22no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—21no—
1560C23—22no—
1561C23—24no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23C22×#4112yes—
1566C23C2611yescharacteristic
1567Q8—416no—
1568Q8—44no—
1569Q8—48no—
1570Q8—44no—
1571Q8—84no—
1572Q8—84no—
1573D4—48no—
1574D4—44no—
1575D4—48no—
1576D4—44no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—84no—
1581D4—88no—
1582D4—84no—
1583D4—88no—
1584D4—88no—
1585D4—84no—
1586D4—88no—
1587D4—88no—
1588D4—164no—
1589D4—164no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—28no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—48no—
1669C2×C4—48no—
1670C2×C4—416no—
1671C2×C4—48no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—44no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4C22×#4114yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4114yes—
1686C2×C4C22×#4112yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)14yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×2−1+414yes—
1693C2×C4C2×2−1+412yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—44no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—41no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—41no—
1728C22—42no—
1729C22—44no—
1730C22—42no—
1731C22C23×#4111yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C22×2−1+411yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22C2×#58511yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—24no—
1739C4—24no—
1740C4—24no—
1741C4—22no—
1742C4—24no—
1743C4—22no—
1744C4—22no—
1745C4—41no—
1746C4—44no—
1747C4—41no—
1748C4—42no—
1749C4—41no—
1750C4—42no—
1751C4—44no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4—41no—
1760C4—42no—
1761C4—41no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—44no—
1766C4#351114yes—
1767C4#354614yes—
1768C2—42no—
1769C2—84no—
1770C2—82no—
1771C2—82no—
1772C2—81no—
1773C2C2×#354611yescharacteristic
1774C2#6279311yescharacteristic
1775C2C2×#351111yescharacteristic
1776C2#6295211yescharacteristic
1777C2#6295511yescharacteristic
1778C2#6298311yescharacteristic
1779C2#6301511yescharacteristic
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. #59750C2semidirect
2. #59437C2semidirect
3. #59098C2semidirect
4. #59066C2semidirect
5. #59050C2semidirect
6. #51566C2semidirect
7. #51395C2semidirect
8. #46063C2semidirect
9. #45515C2semidirect
10. #45398C2semidirect
11. #45358C2semidirect
12. #43290C2semidirect
13. #42607C2semidirect
14. #42476C2semidirect
15. #41041C2semidirect
16. #40179C2semidirect
17. #40125C2semidirect
18. #39781C2semidirect
19. #39725C2semidirect
20. #39471C2semidirect
21. #38922C2semidirect
22. #38214C2semidirect
23. #36480C2semidirect
24. #36412C2semidirect
25. #36300C2semidirect
26. #36150C2semidirect
27. #36150C2semidirect
28. #36126C2semidirect
29. #35191C2semidirect
30. #35173C2semidirect
31. #35036C2semidirect
32. #34929C2semidirect
33. #34919C2semidirect
34. #34480C2semidirect
35. C4×#553C2semidirect
981. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#597502
#594372
#590982
#590662
#590502
#515662
#513952
#460632
#455152
#453982
#453582
#432902
#426072
#424762
#410412
#401792
#401252
#397812
#397252
#394712
#389222
#382142
#364802
#364122
#363002
#361502
#361262
#351912
#351732
#350362
#349292
#349192
#344802
C4×#5532