Finite Group Databasebeta

← #7654471

Subgroups — #7654471

Order 512.

4845 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42761C212yesmaximal, complemented
2#42604C212yesmaximal, complemented
3#42270C214yesmaximal, complemented
4#42253C214yesmaximal, complemented
5#40442C214yesmaximal, complemented
6#40218C212yesmaximal, complemented
7#39810C212yesmaximal, complemented
8#39795C212yesmaximal, complemented
9#39747C211yesmaximal, characteristic, complemented
10#39727C211yesmaximal, characteristic, complemented
11#39725C211yesmaximal, characteristic, complemented
12#39284C212yesmaximal, complemented
13#39182C211yesmaximal, characteristic, complemented
14#38306C214yesmaximal, complemented
15#38290C212yesmaximal, complemented
16#38230C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37587C212yesmaximal, complemented
19#36591C211yesmaximal, characteristic, complemented
20#36494C212yesmaximal, complemented
21#36449C211yesmaximal, characteristic, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36270C211yesmaximal, characteristic, complemented
24#36269C212yesmaximal, complemented
25#36011C212yesmaximal, complemented
26#35802C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35197C211yesmaximal, characteristic, complemented
29#35194C212yesmaximal, complemented
30#35114C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34954C212yesmaximal, complemented
33#34313C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yes—
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#520C2212yes—
42#2865C2214yes—
43#2863C2212yes—
44#2861C2212yes—
45#2861C2214yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2212yes—
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2850C2212yes—
54#2838C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2808C2214yes—
58#2805C2214yes—
59#2803C2214yes—
60#2797C2214yes—
61#2787C2214yes—
62#2779C2214yes—
63#2778C2214yes—
64#2770C2214yes—
65#2764C2214yes—
66#2756C2214yes—
67#2755C2214yes—
68#2753C2214yes—
69#2752C2214yes—
70#2750C2214yes—
71#2738C2214yes—
72#2737C2214yes—
73#2725C2214yes—
74#2714C2214yes—
75#2714C2214yes—
76#2712C2214yes—
77#2711C2214yes—
78#2710C2214yes—
79#2702C2214yes—
80#2676C2214yes—
81#2661C2214yes—
82#2657C2212yes—
83#2651C2214yes—
84#2651C2214yes—
85#2650C2214yes—
86#2650C2214yes—
87#2648C2214yes—
88#2648C2214yes—
89#2647C2212yes—
90#2645C2212yes—
91#2644C2212yes—
92#2640C2212yes—
93#2635C2214yes—
94#2632C2214yes—
95#2630C2214yes—
96#2628C2212yes—
97#2625C2212yes—
98#2624C2212yes—
99#2620C2212yes—
100#2619C2212yes—
101#2611C2214yes—
102#2610C2214yes—
103#2610C2214yes—
104#2602C2214yes—
105#2601C2214yes—
106#2597C2214yes—
107#2595C2214yes—
108#2593C2214yes—
109#2593C2214yes—
110#2592C2212yes—
111#2591C2214yes—
112#2589C2214yes—
113#2582C2212yes—
114#2580C2212yes—
115#2578C2214yes—
116#2576C2214yes—
117#2571C2211yescharacteristic
118#2571C2212yes—
119#2568C2212yes—
120#2568C2211yescharacteristic
121#2562C2212yes—
122#2559C2214yes—
123#2558C2214yes—
124#2557C2214yes—
125#2557C2214yes—
126#2555C2214yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2548C2211yescharacteristic
131#2548C2212yes—
132#2548C2212yes—
133#2547C2211yescharacteristic
134#2544C2212yes—
135#2541C2211yescharacteristic
136#2540C2212yes—
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2536C2212yes—
140#2536C2212yes—
141#2531C2214yes—
142#2531C2212yes—
143#2530C2214yes—
144#2527C2214yes—
145#2526C2212yes—
146#2521C2214yes—
147#2516C2214yes—
148#2513C2214yes—
149#2513C2212yes—
150#2513C2212yes—
151#2513C2212yes—
152#2513C2211yescharacteristic
153#2508C2212yes—
154#2507C2211yescharacteristic
155#2506C2212yes—
156#2497C2211yescharacteristic
157#2495C2212yes—
158#2494C2212yes—
159#2492C2212yes—
160#2491C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2485C2212yes—
166#2485C2214yes—
167#2484C2214yes—
168#2481C2214yes—
169#2479C2214yes—
170#2476C2212yes—
171#2475C2214yes—
172#2474C2214yes—
173#2474C2214yes—
174#2473C2214yes—
175#2471C2212yes—
176#2464C2214yes—
177#2459C2214yes—
178#2459C2214yes—
179#2458C2214yes—
180#2457C2214yes—
181#2457C2214yes—
182#2454C2211yescharacteristic
183#2454C2212yes—
184#2453C2212yes—
185#2451C2212yes—
186#2448C2212yes—
187#2448C2214yes—
188#2448C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2447C2212yes—
192#2447C2212yes—
193#2445C2212yes—
194#2445C2211yescharacteristic
195#2445C2212yes—
196#2439C2212yes—
197#2432C2212yes—
198#2429C2212yes—
199#2428C2212yes—
200#2428C2211yescharacteristic
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2421C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2415C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2407C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2395C2214yes—
217#2395C2214yes—
218#2395C2212yes—
219#2392C2212yes—
220#2373C2214yes—
221#2371C2212yes—
222#2371C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2366C2212yes—
226#2366C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2363C2212yes—
233#2362C2211yescharacteristic
234#2362C2212yes—
235#2362C2211yescharacteristic
236#2362C2211yescharacteristic
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2361C2212yes—
241#2361C2214yes—
242#2357C2212yes—
243#2356C2212yes—
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2352C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2345C2212yes—
253#2341C2212yes—
254#2337C2214yes—
255#2335C2214yes—
256#2331C2212yes—
257#2328C2212yes—
258#2326C2212yes—
259#2324C2212yes—
260#2324C2214yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2319C2212yes—
265#2319C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2212yes—
269C4×#127C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#126C2214yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2214yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2298C2212yes—
282#2298C2212yes—
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2214yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#555—48no—
302#552—48no—
303#550—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350#520—48no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
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#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2314yes—
713#383C2314yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C43C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#127—24no—
855#127—28no—
856#127—42no—
857#127—44no—
858#126—216no—
859#126—48no—
860#125—28no—
861#125—42no—
862#125—48no—
863#125—44no—
864#124—28no—
865#124—48no—
866#124—48no—
867#124—48no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—48no—
873#123—44no—
874#123—48no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—28no—
884#121—216no—
885#121—44no—
886#121—44no—
887#121—48no—
888#121—44no—
889#121—42no—
890#121—42no—
891#121—44no—
892#121—44no—
893#121—44no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8#4118yes—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925#117—28no—
926#117—28no—
927#117—24no—
928#117—28no—
929#117—44no—
930#117—48no—
931#117—48no—
932#117—42no—
933#117—48no—
934#117—42no—
935#117—42no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—48no—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2514yes—
1176C24C2512yes—
1177#41—432no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8C2×#4114yes—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—44no—
1254C22×C4—41no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—41no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4118yes—
1361C4⋊C4H(5,𝔽2)14yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—42no—
1381C22⋊C4—41no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
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⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—28no—
1427C42—24no—
1428C42—28no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—42no—
1447C42—42no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—42no—
1452C42—44no—
1453C42—42no—
1454C42—44no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42C2×#4114yes—
1463C42C2×#4118yes—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—24no—
1468C23—22no—
1469C23—21no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—24no—
1475C23—24no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—48no—
1495Q8—44no—
1496Q8—48no—
1497Q8—164no—
1498D4—416no—
1499D4—48no—
1500D4—44no—
1501D4—48no—
1502D4—44no—
1503D4—84no—
1504D4—88no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—164no—
1510D4—164no—
1511D4—164no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—44no—
1594C2×C4—416no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—164no—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C22—42no—
1617C22—44no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—41no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C4—24no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—24no—
1656C4—24no—
1657C4—42no—
1658C4—44no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—41no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4#346014yes—
1681C4#352414yes—
1682C2—82no—
1683C2—84no—
1684C2—82no—
1685C2—81no—
1686C2C2×#346011yescharacteristic
1687C2C2×#352411yescharacteristic
1688C2#6281011yescharacteristic
1689C2#6302111yescharacteristic
1690C2#6302911yescharacteristic
1691C2#6303111yescharacteristic
1692C2#6303511yescharacteristic
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. #42761C2semidirect
2. #42604C2semidirect
3. #42270C2semidirect
4. #42253C2semidirect
5. #40442C2semidirect
6. #40218C2semidirect
7. #39810C2semidirect
8. #39795C2semidirect
9. #39747C2semidirect
10. #39727C2semidirect
11. #39725C2semidirect
12. #39284C2semidirect
13. #39182C2semidirect
14. #38306C2semidirect
15. #38290C2semidirect
16. #38230C2semidirect
17. #37631C2semidirect
18. #37587C2semidirect
19. #36591C2semidirect
20. #36494C2semidirect
21. #36449C2semidirect
22. #36273C2semidirect
23. #36270C2semidirect
24. #36269C2semidirect
25. #36011C2semidirect
26. #35802C2semidirect
27. #35288C2semidirect
28. #35197C2semidirect
29. #35194C2semidirect
30. #35114C2semidirect
31. #34970C2semidirect
32. #34954C2semidirect
33. #34313C2semidirect
34. C4×#556C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#427612
#426042
#422702
#422532
#404422
#402182
#398102
#397952
#397472
#397272
#397252
#392842
#391822
#383062
#382902
#382302
#376312
#375872
#365912
#364942
#364492
#362732
#362702
#362692
#360112
#358022
#352882
#351972
#351942
#351142
#349702
#349542
#343132
C4×#5562
#341542