Finite Group Databasebeta

← #7979518

Subgroups — #7979518

Order 512.

4585 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59859C212yesmaximal, complemented
2#59456C212yesmaximal, complemented
3#59434C211yesmaximal, characteristic, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59071C211yesmaximal, characteristic, complemented
6#49821C214yesmaximal, complemented
7#49347C214yesmaximal, complemented
8#46116C212yesmaximal, complemented
9#45603C212yesmaximal
10#45180C212yesmaximal, complemented
11#45170C212yesmaximal, complemented
12#44400C214yesmaximal, complemented
13#42779C212yesmaximal, complemented
14#42568C212yesmaximal, complemented
15#42032C214yesmaximal, complemented
16#40100C212yesmaximal, complemented
17#40098C212yesmaximal, complemented
18#39959C212yesmaximal, complemented
19#39782C212yesmaximal, complemented
20#38986C211yesmaximal, characteristic, complemented
21#38921C211yesmaximal, characteristic, complemented
22#38128C212yesmaximal, complemented
23#36577C211yesmaximal, characteristic, complemented
24#36564C211yesmaximal, characteristic, complemented
25#36562C211yesmaximal, characteristic, complemented
26#36513C212yesmaximal, complemented
27#36473C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#35291C212yesmaximal, complemented
30#35241C211yesmaximal, characteristic, complemented
31#35199C211yesmaximal, characteristic, complemented
32#34953C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic
34#34463C212yesmaximal, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2211yescharacteristic
39C2×#552C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2862C2212yes—
47#2860C2212yes—
48#2859C2212yes—
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2850C2212yes—
55#2839C2214yes—
56#2831C2214yes—
57#2807C2214yes—
58#2791C2214yes—
59#2789C2214yes—
60#2787C2214yes—
61#2787C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2777C2214yes—
67#2777C2214yes—
68#2775C2214yes—
69#2774C2214yes—
70#2770C2214yes—
71#2769C2214yes—
72#2768C2214yes—
73#2766C2214yes—
74#2765C2214yes—
75#2759C2214yes—
76#2758C2214yes—
77#2755C2214yes—
78#2755C2214yes—
79#2745C2214yes—
80#2728C2214yes—
81#2722C2214yes—
82#2719C2214yes—
83#2715C2214yes—
84#2708C2214yes—
85#2698C2214yes—
86#2695C2214yes—
87#2687C2214yes—
88#2680C2214yes—
89#2672C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2665C2214yes—
93#2664C2214yes—
94#2664C2214yes—
95#2645C2214yes—
96#2645C2212yes—
97#2625C2212yes—
98#2625C2214yes—
99#2604C2214yes—
100#2601C2214yes—
101#2594C2214yes—
102#2594C2214yes—
103#2587C2214yes—
104#2586C2214yes—
105#2585C2214yes—
106#2585C2214yes—
107#2584C2214yes—
108#2584C2212yes—
109#2584C2212yes—
110#2583C2214yes—
111#2582C2211yescharacteristic
112#2582C2212yes—
113#2578C2214yes—
114#2576C2214yes—
115#2574C2214yes—
116#2574C2214yes—
117#2573C2214yes—
118#2571C2212yes—
119#2570C2212yes—
120#2568C2212yes—
121#2568C2211yescharacteristic
122#2568C2211yescharacteristic
123#2567C2211yescharacteristic
124#2567C2211yescharacteristic
125#2566C2212yes—
126#2565C2212yes—
127#2565C2212yes—
128#2556C2214yes—
129#2556C2214yes—
130#2552C2212yes—
131#2551C2211yescharacteristic
132#2549C2214yes—
133#2547C2211yescharacteristic
134#2546C2211yescharacteristic
135#2546C2211yescharacteristic
136#2545C2212yes—
137#2545C2212yes—
138#2542C2211yescharacteristic
139#2536C2212yes—
140#2529C2214yes—
141#2525C2214yes—
142#2521C2214yes—
143#2520C2214yes—
144#2518C2214yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2509C2214yes—
150#2508C2214yes—
151#2508C2212yes—
152#2508C2214yes—
153#2507C2212yes—
154#2507C2214yes—
155#2507C2212yes—
156#2502C2212yes—
157#2498C2214yes—
158#2497C2212yes—
159#2496C2212yes—
160#2495C2214yes—
161#2494C2212yes—
162#2494C2214yes—
163#2492C2212yes—
164#2491C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2486C2212yes—
172#2481C2212yes—
173#2475C2214yes—
174#2470C2214yes—
175#2469C2212yes—
176#2458C2212yes—
177#2453C2212yes—
178#2453C2212yes—
179#2453C2212yes—
180#2453C2212yes—
181#2453C2214yes—
182#2453C2211yescharacteristic
183#2453C2212yes—
184#2453C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2448C2212yes—
189#2448C2211yescharacteristic
190#2447C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2443C2212yes—
194#2442C2212yes—
195#2442C2211yescharacteristic
196#2442C2212yes—
197#2442C2214yes—
198#2441C2212yes—
199#2440C2212yes—
200#2436C2211yescharacteristic
201#2434C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2427C2212yes—
207#2426C2211yescharacteristic
208#2422C2212yes—
209#2421C2212yes—
210#2421C2214yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2211yescharacteristic
214#2417C2212yes—
215#2417C2212yes—
216#2416C2211yescharacteristic
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2409C2211yescharacteristic
223#2399C2214yes—
224#2398C2212yes—
225#2396C2212yes—
226#2383C2214yes—
227#2379C2214yes—
228#2374C2214yes—
229#2373C2214yes—
230#2373C2212yes—
231#2371C2212yes—
232#2370C2211yescharacteristic
233#2369C2212yes—
234#2369C2211yescharacteristic
235#2367C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2211yescharacteristic
243#2360C2212yes—
244#2360C2211yescharacteristic
245#2360C2212yes—
246#2359C2212yes—
247#2356C2211yescharacteristic
248#2355C2214yes—
249#2354C2211yescharacteristic
250#2352C2211yescharacteristic
251#2352C2212yes—
252#2351C2212yes—
253#2351C2212yes—
254#2351C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256#2347C2212yes—
257#2346C2211yescharacteristic
258#2345C2212yes—
259#2344C2211yescharacteristic
260#2343C2212yes—
261Q8×C22⋊C4C2212yes—
262#2337C2214yes—
263#2334C2214yes—
264#2334C2214yes—
265#2331C2212yes—
266#2323C2214yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2214yes—
270#2320C2212yes—
271#2320C2212yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2296C2212yes—
291#2296C2212yes—
292#2295C2211yescharacteristic
293#2290C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#557—44no—
301#556—216no—
302#554—44no—
303#552—28no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×C4×Q8—44no—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2312yes—
396#401C2314yes—
397#401C2314yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#393C2312yes—
487#393C2312yes—
488#393C2314yes—
489#393C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2314yes—
705#384C2312yes—
706#383C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#381C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C22×Q8—24no—
819C22×Q8—42no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853#126—28no—
854#126—216no—
855#126—216no—
856#126—44no—
857#125—24no—
858#125—28no—
859#125—42no—
860#125—44no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—48no—
865#124—24no—
866#124—216no—
867#124—44no—
868#124—42no—
869#123—28no—
870#123—48no—
871#123—44no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—48no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—44no—
888#121—42no—
889#121—42no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—216no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—42no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—42no—
916#117—28no—
917#117—24no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—44no—
923#117#4118yes—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42—44no—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×Q8—44no—
1197C2×Q8—42no—
1198C2×Q8—416no—
1199C2×Q82−1+414yes—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2×#4114yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2514yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4114yes—
1358C4⋊C42−1+414yes—
1359C22⋊C4—22no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4C2×#4118yes—
1397C42—24no—
1398C42—28no—
1399C42—22no—
1400C42—24no—
1401C42—28no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—41no—
1426C42—44no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—41no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42C2×#4118yes—
1436C42H(5,𝔽2)14yes—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23C22×#4112yes—
1457C23#58512yes—
1458C23C2611yescharacteristic
1459Q8—28no—
1460Q8—48no—
1461Q8—44no—
1462Q8—48no—
1463Q8—48no—
1464Q8—44no—
1465Q8—88no—
1466Q8—84no—
1467D4—44no—
1468D4—44no—
1469D4—84no—
1470D4—84no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—28no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—84no—
1564C2×C4—82no—
1565C2×C4—84no—
1566C2×C4—164no—
1567C2×C4C22×#4114yes—
1568C2×C4C22×#4114yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×2−1+414yes—
1575C2×C4C2×2−1+414yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4#58512yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22C23×#4111yescharacteristic
1601C22C22×H(5,𝔽2)11yescharacteristic
1602C22C22×2−1+411yescharacteristic
1603C22C22×2−1+411yescharacteristic
1604C22C2×#58511yescharacteristic
1605C22C2×#58511yescharacteristic
1606C222−1+611yescharacteristic
1607C4—24no—
1608C4—24no—
1609C4—22no—
1610C4—24no—
1611C4—24no—
1612C4—22no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—44no—
1617C4—41no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—44no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—44no—
1637C4#351114yes—
1638C4#354114yes—
1639C2—42no—
1640C2—42no—
1641C2—82no—
1642C2C2×#354111yescharacteristic
1643C2C2×#351111yescharacteristic
1644C2#6281611yescharacteristic
1645C2#6295011yescharacteristic
1646C2#6295411yescharacteristic
1647C2#6300111yescharacteristic
1648C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2416C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59859C2semidirect
2. #59456C2semidirect
3. #59434C2semidirect
4. #59079C2semidirect
5. #59071C2semidirect
6. #49821C2semidirect
7. #49347C2semidirect
8. #46116C2semidirect
10. #45180C2semidirect
11. #45170C2semidirect
12. #44400C2semidirect
13. #42779C2semidirect
14. #42568C2semidirect
15. #42032C2semidirect
16. #40100C2semidirect
17. #40098C2semidirect
18. #39959C2semidirect
19. #39782C2semidirect
20. #38986C2semidirect
21. #38921C2semidirect
22. #38128C2semidirect
23. #36577C2semidirect
24. #36564C2semidirect
25. #36562C2semidirect
26. #36513C2semidirect
27. #36473C2semidirect
28. #36151C2semidirect
29. #35291C2semidirect
30. #35241C2semidirect
31. #35199C2semidirect
32. #34953C2semidirect
34. #34463C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#598592
#594562
#594342
#590792
#590712
#498212
#493472
#461162
#456032
#451802
#451702
#444002
#427792
#425682
#420322
#401002
#400982
#399592
#397822
#389862
#389212
#381282
#365772
#365642
#365622
#365132
#364732
#361512
#352912
#352412
#351992
#349532
#347082
#344632
C4×#5522