Finite Group Databasebeta

← #8174524

Subgroups — #8174524

Order 512.

5226 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59219C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59066C211yesmaximal, characteristic, complemented
5#58605C214yesmaximal, complemented
6#58008C214yesmaximal, complemented
7#57279C214yesmaximal, complemented
8#56624C214yesmaximal, complemented
9#53098C212yesmaximal, complemented
10#52974C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52956C212yesmaximal, complemented
13#45267C212yesmaximal, complemented
14#45245C212yesmaximal, complemented
15#42916C212yesmaximal, complemented
16#42900C212yesmaximal, complemented
17#42829C212yesmaximal, complemented
18#42796C212yesmaximal, complemented
19#42751C212yesmaximal, complemented
20#42556C212yesmaximal, complemented
21#39818C212yesmaximal, complemented
22#39735C211yesmaximal, characteristic, complemented
23#39688C212yesmaximal, complemented
24#39606C211yesmaximal, characteristic, complemented
25#39343C211yesmaximal, characteristic, complemented
26#39341C211yesmaximal, characteristic, complemented
27#39149C211yesmaximal, characteristic, complemented
28#39147C211yesmaximal, characteristic, complemented
29#37515C212yesmaximal, complemented
30#37316C212yesmaximal, complemented
31#36576C211yesmaximal, characteristic, complemented
32Q8×#121C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#34952C211yesmaximal, characteristic, complemented
35#34609C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#547C2212yes—
42C2×#537C2212yes—
43C2×#536C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2856C2211yescharacteristic
54#2838C2214yes—
55#2837C2214yes—
56#2831C2214yes—
57#2829C2214yes—
58#2829C2214yes—
59#2827C2214yes—
60#2826C2214yes—
61#2825C2214yes—
62#2825C2214yes—
63#2814C2214yes—
64#2813C2214yes—
65#2813C2214yes—
66#2808C2214yes—
67#2804C2214yes—
68#2803C2214yes—
69#2788C2214yes—
70#2787C2214yes—
71#2786C2214yes—
72#2784C2214yes—
73#2783C2214yes—
74#2780C2214yes—
75#2776C2214yes—
76#2768C2214yes—
77#2765C2214yes—
78#2757C2214yes—
79#2753C2214yes—
80#2748C2214yes—
81#2746C2214yes—
82#2739C2214yes—
83#2733C2214yes—
84#2731C2214yes—
85#2730C2214yes—
86#2729C2214yes—
87#2714C2214yes—
88#2708C2214yes—
89#2705C2214yes—
90#2703C2214yes—
91#2703C2214yes—
92#2703C2214yes—
93#2701C2214yes—
94#2701C2214yes—
95#2701C2214yes—
96#2695C2214yes—
97#2688C2214yes—
98#2682C2214yes—
99#2682C2214yes—
100#2681C2214yes—
101#2677C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2675C2214yes—
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2672C2214yes—
112#2672C2214yes—
113#2671C2214yes—
114#2661C2214yes—
115#2661C2214yes—
116#2653C2214yes—
117#2653C2214yes—
118#2653C2214yes—
119#2651C2214yes—
120#2645C2212yes—
121#2644C2212yes—
122#2635C2212yes—
123#2635C2212yes—
124#2632C2212yes—
125#2631C2212yes—
126#2630C2214yes—
127#2629C2212yes—
128#2628C2211yescharacteristic
129#2628C2211yescharacteristic
130#2624C2211yescharacteristic
131#2624C2211yescharacteristic
132#2624C2212yes—
133#2619C2211yescharacteristic
134#2619C2211yescharacteristic
135#2619C2212yes—
136#2618C2214yes—
137#2616C2212yes—
138#2615C2212yes—
139#2615C2211yescharacteristic
140#2615C2211yescharacteristic
141#2615C2212yes—
142#2602C2214yes—
143#2601C2214yes—
144#2592C2212yes—
145#2587C2214yes—
146#2583C2214yes—
147#2582C2211yescharacteristic
148#2582C2211yescharacteristic
149#2581C2212yes—
150#2580C2212yes—
151#2580C2212yes—
152#2579C2212yes—
153#2579C2212yes—
154#2571C2211yescharacteristic
155#2570C2212yes—
156#2566C2212yes—
157#2559C2214yes—
158#2552C2211yescharacteristic
159#2551C2212yes—
160#2548C2211yescharacteristic
161#2548C2212yes—
162#2546C2211yescharacteristic
163#2546C2212yes—
164#2542C2211yescharacteristic
165#2541C2211yescharacteristic
166#2541C2212yes—
167#2540C2212yes—
168#2538C2211yescharacteristic
169#2538C2212yes—
170#2538C2212yes—
171#2538C2212yes—
172#2538C2211yescharacteristic
173#2538C2211yescharacteristic
174#2538C2211yescharacteristic
175#2538C2212yes—
176#2536C2212yes—
177#2535C2212yes—
178#2535C2212yes—
179#2513C2212yes—
180#2513C2212yes—
181#2512C2212yes—
182#2509C2212yes—
183#2507C2212yes—
184#2507C2212yes—
185#2502C2212yes—
186#2500C2212yes—
187#2497C2212yes—
188#2497C2212yes—
189#2496C2212yes—
190#2494C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2491C2214yes—
194#2491C2212yes—
195#2491C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2487C2211yescharacteristic
199#2487C2211yescharacteristic
200#2486C2212yes—
201#2485C2212yes—
202#2470C2214yes—
203#2464C2214yes—
204#2463C2214yes—
205#2456C2214yes—
206#2456C2214yes—
207#2456C2214yes—
208#2454C2212yes—
209#2452C2212yes—
210#2452C2214yes—
211#2452C2212yes—
212#2449C2214yes—
213#2449C2214yes—
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2443C2214yes—
218#2436C2212yes—
219#2432C2212yes—
220#2429C2214yes—
221#2429C2212yes—
222#2429C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2426C2214yes—
231#2426C2212yes—
232#2423C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2421C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2214yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2214yes—
246#2415C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2409C2212yes—
251#2409C2211yescharacteristic
252#2409C2211yescharacteristic
253#2407C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2398C2212yes—
259#2397C2212yes—
260#2396C2212yes—
261#2396C2212yes—
262#2388C2212yes—
263#2388C2212yes—
264#2370C2212yes—
265#2366C2211yescharacteristic
266#2366C2212yes—
267#2365C2211yescharacteristic
268#2362C2212yes—
269#2360C2212yes—
270#2357C2212yes—
271#2354C2211yescharacteristic
272Q8×C4⋊C4C2211yescharacteristic
273Q8×C4⋊C4C2211yescharacteristic
274D4×C4⋊C4C2212yes—
275D4×C4⋊C4C2211yescharacteristic
276#2341C2212yes—
277Q8×C22⋊C4C2212yes—
278#2327C2212yes—
279#2326C2212yes—
280#2324C2212yes—
281#2324C2212yes—
282#2324C2212yes—
283#2324C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294#2297C2212yes—
295#2296C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2283C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305#550—44no—
306D4×Q8—44no—
307D4×Q8—48no—
308#548—48no—
309#548—48no—
310#547—48no—
311#537—48no—
312#536—48no—
313#532—44no—
314#532—44no—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2314yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C4×#41—44no—
385C2×C4×Q8—44no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2314yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2312yes—
434#401C2314yes—
435#401C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2312yes—
449#399C2314yes—
450#399C2312yes—
451#399C2312yes—
452#399C2312yes—
453#399C2312yes—
454#399C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2312yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2312yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2314yes—
507#395C2312yes—
508#395C2312yes—
509#395C2312yes—
510#395C2314yes—
511#395C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2314yes—
550#393C2312yes—
551#393C2312yes—
552#393C2312yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#392C2312yes—
557#392C2312yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#391C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2312yes—
589#391C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#384C2312yes—
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#383C2312yes—
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#381C2314yes—
764#381C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8—28no—
837C22×Q8—42no—
838C22×Q8—44no—
839C22×Q8—44no—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2411yescharacteristic
845C22×Q8C2414yes—
846C22×Q8C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—42no—
891C4⋊Q8—44no—
892C4⋊Q8—48no—
893C4⋊Q8—48no—
894#127—24no—
895#127—44no—
896#127—42no—
897#127—44no—
898#126—84no—
899#125—44no—
900#124—28no—
901#124—44no—
902#124—44no—
903#124—48no—
904#124—48no—
905#124—48no—
906#123—48no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—84no—
911#123—84no—
912#123—84no—
913C22⋊Q8—24no—
914C22⋊Q8—28no—
915C22⋊Q8—24no—
916C22⋊Q8—28no—
917C22⋊Q8—24no—
918C22⋊Q8—24no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—24no—
931#121—28no—
932#121—24no—
933#121—44no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—42no—
942#121—44no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—82no—
954#121—84no—
955#121—82no—
956#121—84no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—44no—
960C4×Q8—42no—
961C4×Q8—42no—
962C4×Q8—44no—
963C4×Q8—42no—
964C4×Q8—42no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4—48no—
991#117—44no—
992#117—42no—
993#117—42no—
994#117—42no—
995#117—44no—
996#117—82no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—48no—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24C2511yescharacteristic
1221C24C2512yes—
1222C24C2511yescharacteristic
1223C24C2514yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226#41—416no—
1227#41—816no—
1228#41—816no—
1229#41—816no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—28no—
1240C2×Q8—22no—
1241C2×Q8—42no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—44no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—416no—
1250C2×Q8—816no—
1251C2×Q8H(5,𝔽2)14yes—
1252C2×Q8H(5,𝔽2)14yes—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—42no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C42−1+414yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—42no—
1557C42—42no—
1558C42—44no—
1559C42—44no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C42H(5,𝔽2)14yes—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—24no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—24no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—24no—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—21no—
1598C23—24no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23C2×2−1+412yes—
1606C23C2611yescharacteristic
1607Q8—28no—
1608Q8—28no—
1609Q8—48no—
1610Q8—44no—
1611Q8—48no—
1612Q8—88no—
1613Q8—84no—
1614D4—44no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—48no—
1619D4—44no—
1620D4—44no—
1621D4—48no—
1622D4—84no—
1623D4—88no—
1624D4—84no—
1625D4—88no—
1626D4—84no—
1627D4—84no—
1628D4—88no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—88no—
1634D4—164no—
1635D4—164no—
1636D4—164no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—28no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—48no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—82no—
1725C2×C4—82no—
1726C2×C4—88no—
1727C2×C4—88no—
1728C2×C4—84no—
1729C2×C4—88no—
1730C2×C4—88no—
1731C2×C4—164no—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)14yes—
1734C2×C4C2×H(5,𝔽2)14yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×2−1+412yes—
1740C2×C4C2×2−1+412yes—
1741C2×C4#58512yes—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—44no—
1759C22—41no—
1760C22—41no—
1761C22—42no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—44no—
1769C22—42no—
1770C22—44no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—44no—
1777C22—41no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C22×H(5,𝔽2)11yescharacteristic
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C22×2−1+411yescharacteristic
1788C22C2×#58511yescharacteristic
1789C22H(7,𝔽2)11yescharacteristic
1790C222−1+611yescharacteristic
1791C4—22no—
1792C4—24no—
1793C4—24no—
1794C4—22no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—41no—
1800C4—42no—
1801C4—41no—
1802C4—44no—
1803C4—41no—
1804C4—41no—
1805C4—42no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4#353714yes—
1819C4#354114yes—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—82no—
1824C2—82no—
1825C2—84no—
1826C2C2×#354111yescharacteristic
1827C2C2×#353711yescharacteristic
1828C2#6287511yescharacteristic
1829C2#6291311yescharacteristic
1830C2#6291711yescharacteristic
1831C2#6292211yescharacteristic
1832C2#6292311yescharacteristic
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. #59219C2semidirect
2. #59218C2semidirect
3. #59080C2semidirect
4. #59066C2semidirect
5. #58605C2semidirect
6. #58008C2semidirect
7. #57279C2semidirect
8. #56624C2semidirect
9. #53098C2semidirect
10. #52974C2semidirect
11. #52973C2semidirect
12. #52956C2semidirect
13. #45267C2semidirect
14. #45245C2semidirect
15. #42916C2semidirect
16. #42900C2semidirect
17. #42829C2semidirect
18. #42796C2semidirect
19. #42751C2semidirect
20. #42556C2semidirect
21. #39818C2semidirect
22. #39735C2semidirect
23. #39688C2semidirect
24. #39606C2semidirect
25. #39343C2semidirect
26. #39341C2semidirect
27. #39149C2semidirect
28. #39147C2semidirect
29. #37515C2semidirect
30. #37316C2semidirect
31. #36576C2semidirect
32. Q8×#121C2semidirect
33. #35292C2semidirect
34. #34952C2semidirect
35. #34609C2semidirect

Maximal subgroups

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

subgroupindex
#592192
#592182
#590802
#590662
#586052
#580082
#572792
#566242
#530982
#529742
#529732
#529562
#452672
#452452
#429162
#429002
#428292
#427962
#427512
#425562
#398182
#397352
#396882
#396062
#393432
#393412
#391492
#391472
#375152
#373162
#365762
Q8×#1212
#352922
#349522
#346092