Finite Group Databasebeta

← #7880579

Subgroups — #7880579

Order 512.

5341 conjugacy classes of subgroups.

The subgroup lattice has 1749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59702C212yesmaximal, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59443C211yesmaximal, characteristic, complemented
5#59145C212yesmaximal, complemented
6#50066C214yesmaximal, complemented
7#48185C214yesmaximal, complemented
8#46549C214yesmaximal, complemented
9#45368C212yesmaximal, complemented
10#45100C212yesmaximal, complemented
11#45069C212yesmaximal, complemented
12#44960C212yesmaximal, complemented
13#43375C214yesmaximal, complemented
14#42595C212yesmaximal, complemented
15#42518C212yesmaximal, complemented
16#40153C212yesmaximal, complemented
17#39818C212yesmaximal, complemented
18#39771C211yesmaximal, characteristic, complemented
19#39767C212yesmaximal, complemented
20#39386C211yesmaximal, characteristic, complemented
21#38956C211yesmaximal, characteristic, complemented
22#38956C211yesmaximal, characteristic, complemented
23#38290C212yesmaximal, complemented
24#36595C211yesmaximal, characteristic, complemented
25#36591C211yesmaximal, characteristic, complemented
26#36128C211yesmaximal, characteristic, complemented
27#35844C212yesmaximal, complemented
28#35844C212yesmaximal, complemented
29#35534C212yesmaximal, complemented
30#35517C212yesmaximal, complemented
31#34902C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34308C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#540C2212yes—
42C2×#532C2212yes—
43C2×#520C2212yes—
44C2×#520C2212yes—
45#2867C2211yescharacteristic
46#2861C2212yes—
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2856C2212yes—
50#2825C2214yes—
51#2808C2214yes—
52#2803C2214yes—
53#2797C2214yes—
54#2796C2214yes—
55#2796C2214yes—
56#2796C2214yes—
57#2778C2214yes—
58#2776C2214yes—
59#2760C2214yes—
60#2756C2214yes—
61#2752C2214yes—
62#2751C2214yes—
63#2749C2214yes—
64#2749C2214yes—
65#2746C2214yes—
66#2741C2214yes—
67#2737C2214yes—
68#2724C2214yes—
69#2717C2214yes—
70#2714C2214yes—
71#2710C2214yes—
72#2708C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2703C2214yes—
76#2703C2214yes—
77#2703C2214yes—
78#2701C2214yes—
79#2688C2214yes—
80#2686C2214yes—
81#2676C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2640C2212yes—
85#2639C2214yes—
86#2635C2214yes—
87#2631C2214yes—
88#2631C2214yes—
89#2619C2212yes—
90#2619C2212yes—
91#2619C2212yes—
92#2610C2214yes—
93#2610C2214yes—
94#2602C2214yes—
95#2600C2214yes—
96#2598C2214yes—
97#2598C2214yes—
98#2596C2212yes—
99#2595C2214yes—
100#2594C2212yes—
101#2592C2212yes—
102#2592C2211yescharacteristic
103#2589C2212yes—
104#2587C2212yes—
105#2584C2211yescharacteristic
106#2581C2211yescharacteristic
107#2580C2211yescharacteristic
108#2580C2212yes—
109#2580C2212yes—
110#2578C2214yes—
111#2570C2212yes—
112#2570C2211yescharacteristic
113#2568C2211yescharacteristic
114#2568C2211yescharacteristic
115#2566C2211yescharacteristic
116#2565C2212yes—
117#2559C2214yes—
118#2550C2211yescharacteristic
119#2548C2212yes—
120#2548C2211yescharacteristic
121#2548C2211yescharacteristic
122#2548C2212yes—
123#2548C2212yes—
124#2545C2211yescharacteristic
125#2544C2212yes—
126#2544C2212yes—
127#2544C2212yes—
128#2541C2212yes—
129#2541C2212yes—
130#2541C2212yes—
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2541C2211yescharacteristic
134#2533C2214yes—
135#2531C2214yes—
136#2525C2212yes—
137#2522C2212yes—
138#2516C2214yes—
139#2514C2212yes—
140#2514C2212yes—
141#2514C2211yescharacteristic
142#2513C2212yes—
143#2513C2212yes—
144#2513C2212yes—
145#2512C2211yescharacteristic
146#2511C2212yes—
147#2510C2214yes—
148#2509C2211yescharacteristic
149#2507C2211yescharacteristic
150#2504C2212yes—
151#2504C2212yes—
152#2504C2212yes—
153#2501C2212yes—
154#2491C2212yes—
155#2490C2212yes—
156#2487C2214yes—
157#2486C2214yes—
158#2485C2214yes—
159#2485C2214yes—
160#2471C2214yes—
161#2471C2214yes—
162#2469C2212yes—
163#2465C2212yes—
164#2464C2214yes—
165#2464C2214yes—
166#2459C2214yes—
167#2457C2214yes—
168#2456C2214yes—
169#2456C2214yes—
170#2456C2214yes—
171#2456C2214yes—
172#2456C2214yes—
173#2455C2214yes—
174#2454C2211yescharacteristic
175#2452C2211yescharacteristic
176#2448C2211yescharacteristic
177#2448C2212yes—
178#2448C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2447C2212yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2446C2212yes—
186#2446C2211yescharacteristic
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2444C2214yes—
195#2444C2214yes—
196#2443C2214yes—
197#2443C2214yes—
198#2443C2214yes—
199#2443C2214yes—
200#2443C2214yes—
201#2443C2214yes—
202#2431C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yes—
209#2431C2212yes—
210#2428C2212yes—
211#2428C2214yes—
212#2428C2214yes—
213#2428C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2425C2214yes—
219#2422C2212yes—
220#2420C2212yes—
221#2419C2214yes—
222#2401C2212yes—
223#2397C2214yes—
224#2396C2212yes—
225#2396C2212yes—
226#2396C2212yes—
227#2377C2214yes—
228#2367C2212yes—
229#2366C2212yes—
230#2366C2212yes—
231#2366C2212yes—
232#2366C2212yes—
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2366C2212yes—
236#2366C2212yes—
237#2366C2211yescharacteristic
238#2365C2211yescharacteristic
239#2364C2214yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2361C2212yes—
244#2361C2212yes—
245#2361C2214yes—
246#2360C2212yes—
247#2359C2214yes—
248#2357C2212yes—
249#2356C2212yes—
250#2356C2212yes—
251#2355C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257#2344C2212yes—
258#2341C2212yes—
259#2339C2212yes—
260#2339C2212yes—
261#2328C2212yes—
262#2326C2212yes—
263#2325C2214yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2214yes—
267#2324C2212yes—
268#2323C2212yes—
269#2322C2214yes—
270#2319C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2212yes—
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2212yes—
288#2298C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2212yes—
294#2293C2211yescharacteristic
295C2×#389C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#559—48no—
303#559—48no—
304#550—28no—
305#550—28no—
306#547—28no—
307#540—48no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#126C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364#520—48no—
365#520—48no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C42C2312yes—
417#401C2314yes—
418#401C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#395C2312yes—
473#395C2312yes—
474#395C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
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#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#383C2312yes—
739#383C2314yes—
740#383C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2311yescharacteristic
747#382C2311yescharacteristic
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—42no—
870#127—28no—
871#127—28no—
872#127—24no—
873#127—24no—
874#127—28no—
875#127—44no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—44no—
881#127—82no—
882#126—44no—
883#125—24no—
884#125—42no—
885#124—28no—
886#124—24no—
887#124—48no—
888#124—42no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—44no—
894#124—44no—
895#123—216no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—84no—
903C22⋊Q8—28no—
904C22⋊Q8—44no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—216no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—84no—
921#121—84no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—42no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—42no—
932C4×Q8—44no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—82no—
957C4×D4—84no—
958C4×D4—84no—
959C4×D4—84no—
960C4×D4—82no—
961C4×D4#4118yes—
962#117—28no—
963#117—44no—
964#117—48no—
965#117—44no—
966#117—48no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—48no—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C42—44no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2514yes—
1199C24C2514yes—
1200C24C2512yes—
1201#41—432no—
1202#41—432no—
1203#41—816no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8H(5,𝔽2)14yes—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4C2×#4114yes—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4C2×#4118yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4C2×#4114yes—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4C2×#4118yes—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—28no—
1483C42—28no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—42no—
1497C42—42no—
1498C42—44no—
1499C42—41no—
1500C42—41no—
1501C42—42no—
1502C42—44no—
1503C42—41no—
1504C42—41no—
1505C42—42no—
1506C42—42no—
1507C42—41no—
1508C42C2×#4114yes—
1509C42H(5,𝔽2)14yes—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—24no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—24no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—24no—
1537C23C22×#4114yes—
1538C23C2611yescharacteristic
1539Q8—28no—
1540Q8—44no—
1541Q8—48no—
1542Q8—44no—
1543Q8—84no—
1544D4—28no—
1545D4—416no—
1546D4—416no—
1547D4—48no—
1548D4—48no—
1549D4—44no—
1550D4—48no—
1551D4—48no—
1552D4—84no—
1553D4—84no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—164no—
1563D4—164no—
1564D4—164no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—216no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—416no—
1648C2×C4—416no—
1649C2×C4—48no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—88no—
1653C2×C4—164no—
1654C2×C4—164no—
1655C2×C4—164no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4—164no—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4114yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)14yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C2×C4#58512yes—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22—44no—
1698C22—44no—
1699C22C23×#4111yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×H(5,𝔽2)11yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22H(7,𝔽2)11yescharacteristic
1706C4—22no—
1707C4—22no—
1708C4—24no—
1709C4—24no—
1710C4—22no—
1711C4—22no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4—44no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—44no—
1730C4—42no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—41no—
1735C4#350614yes—
1736C4#351314yes—
1737C2—44no—
1738C2—84no—
1739C2—84no—
1740C2—82no—
1741C2C2×#350611yescharacteristic
1742C2C2×#351311yescharacteristic
1743C2#6283611yescharacteristic
1744C2#6291611yescharacteristic
1745C2#6296911yescharacteristic
1746C2#6301011yescharacteristic
1747C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59702C2semidirect
2. #59647C2semidirect
3. #59641C2semidirect
4. #59443C2semidirect
5. #59145C2semidirect
6. #50066C2semidirect
7. #48185C2semidirect
8. #46549C2semidirect
9. #45368C2semidirect
10. #45100C2semidirect
11. #45069C2semidirect
12. #44960C2semidirect
13. #43375C2semidirect
14. #42595C2semidirect
15. #42518C2semidirect
16. #40153C2semidirect
17. #39818C2semidirect
18. #39771C2semidirect
19. #39767C2semidirect
20. #39386C2semidirect
21. #38956C2semidirect
22. #38956C2semidirect
23. #38290C2semidirect
24. #36595C2semidirect
25. #36591C2semidirect
26. #36128C2semidirect
27. #35844C2semidirect
28. #35844C2semidirect
29. #35534C2semidirect
30. #35517C2semidirect
31. #34902C2semidirect
32. #34893C2semidirect
33. #34494C2semidirect
34. #34313C2semidirect
35. #34308C2semidirect

Maximal subgroups

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

subgroupindex
#597022
#596472
#596412
#594432
#591452
#500662
#481852
#465492
#453682
#451002
#450692
#449602
#433752
#425952
#425182
#401532
#398182
#397712
#397672
#393862
#389562
#382902
#365952
#365912
#361282
#358442
#355342
#355172
#349022
#348932
#344942
#343132
#343082