Finite Group Databasebeta

← #7654364

Subgroups — #7654364

Order 512.

5282 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42855C212yesmaximal, complemented
3#41930C214yesmaximal, complemented
4#41322C214yesmaximal, complemented
5#40150C212yesmaximal, complemented
6#39821C212yesmaximal, complemented
7#39747C211yesmaximal, characteristic, complemented
8#39582C214yesmaximal, complemented
9#39530C212yesmaximal, complemented
10#39259C212yesmaximal, complemented
11#39182C211yesmaximal, characteristic, complemented
12#39138C211yesmaximal, characteristic, complemented
13#39136C211yesmaximal, characteristic, complemented
14#38846C214yesmaximal, complemented
15#37797C212yesmaximal, complemented
16#37772C212yesmaximal, complemented
17#37626C211yesmaximal, characteristic, complemented
18#37587C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36468C211yesmaximal, characteristic, complemented
21#36442C212yesmaximal, complemented
22#36404C212yesmaximal, complemented
23#36126C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35798C212yesmaximal, complemented
26#35768C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35214C212yesmaximal, complemented
29#35197C212yesmaximal, complemented
30#35170C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34889C212yesmaximal, complemented
33#34322C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#542C2212yes—
41C2×#532C2212yes—
42C2×#529C2211yescharacteristic
43C2×#529C2212yes—
44C2×C4×#41C2212yes—
45#2859C2211yescharacteristic
46#2858C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2214yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2852C2214yes—
55#2850C2212yes—
56#2850C2212yes—
57#2829C2214yes—
58#2828C2214yes—
59#2828C2214yes—
60#2805C2214yes—
61#2801C2214yes—
62#2780C2214yes—
63#2779C2214yes—
64#2779C2214yes—
65#2778C2214yes—
66#2772C2214yes—
67#2755C2214yes—
68#2753C2214yes—
69#2753C2214yes—
70#2733C2214yes—
71#2730C2214yes—
72#2727C2214yes—
73#2727C2214yes—
74#2723C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2714C2214yes—
78#2714C2214yes—
79#2710C2214yes—
80#2706C2214yes—
81#2705C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2663C2214yes—
85#2661C2214yes—
86#2657C2212yes—
87#2653C2214yes—
88#2652C2214yes—
89#2648C2214yes—
90#2648C2214yes—
91#2648C2214yes—
92#2647C2212yes—
93#2644C2212yes—
94#2635C2214yes—
95#2635C2214yes—
96#2630C2214yes—
97#2624C2212yes—
98#2624C2212yes—
99#2624C2212yes—
100#2620C2212yes—
101#2619C2212yes—
102#2619C2212yes—
103#2619C2212yes—
104#2602C2214yes—
105#2602C2214yes—
106#2601C2214yes—
107#2598C2214yes—
108#2596C2214yes—
109#2596C2214yes—
110#2577C2214yes—
111#2571C2212yes—
112#2571C2211yescharacteristic
113#2568C2212yes—
114#2562C2212yes—
115#2560C2214yes—
116#2559C2214yes—
117#2559C2214yes—
118#2557C2214yes—
119#2554C2214yes—
120#2551C2211yescharacteristic
121#2550C2212yes—
122#2550C2212yes—
123#2548C2212yes—
124#2547C2211yescharacteristic
125#2544C2212yes—
126#2542C2211yescharacteristic
127#2541C2211yescharacteristic
128#2541C2211yescharacteristic
129#2541C2212yes—
130#2541C2212yes—
131#2540C2212yes—
132#2538C2212yes—
133#2538C2212yes—
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2535C2212yes—
137#2535C2212yes—
138#2531C2212yes—
139#2527C2214yes—
140#2526C2214yes—
141#2526C2212yes—
142#2521C2214yes—
143#2521C2214yes—
144#2518C2214yes—
145#2514C2212yes—
146#2513C2214yes—
147#2513C2211yescharacteristic
148#2513C2212yes—
149#2512C2212yes—
150#2510C2214yes—
151#2508C2212yes—
152#2507C2211yescharacteristic
153#2497C2211yescharacteristic
154#2496C2212yes—
155#2496C2212yes—
156#2494C2212yes—
157#2492C2212yes—
158#2491C2212yes—
159#2491C2212yes—
160#2490C2211yescharacteristic
161#2490C2212yes—
162#2490C2212yes—
163#2487C2212yes—
164#2479C2214yes—
165#2476C2212yes—
166#2471C2214yes—
167#2471C2212yes—
168#2470C2214yes—
169#2470C2214yes—
170#2467C2214yes—
171#2467C2214yes—
172#2464C2214yes—
173#2464C2214yes—
174#2461C2214yes—
175#2461C2214yes—
176#2457C2214yes—
177#2457C2214yes—
178#2457C2214yes—
179#2456C2214yes—
180#2455C2214yes—
181#2454C2212yes—
182#2454C2211yescharacteristic
183#2453C2212yes—
184#2452C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2447C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2214yes—
191#2445C2211yescharacteristic
192#2441C2212yes—
193#2431C2212yes—
194#2431C2214yes—
195#2430C2214yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2211yescharacteristic
200#2427C2212yes—
201#2427C2212yes—
202#2427C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2420C2212yes—
210#2416C2212yes—
211#2415C2214yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2407C2212yes—
217#2407C2214yes—
218#2407C2212yes—
219#2395C2214yes—
220#2395C2212yes—
221#2392C2212yes—
222#2388C2214yes—
223#2373C2214yes—
224#2373C2212yes—
225#2373C2212yes—
226#2370C2211yescharacteristic
227#2370C2211yescharacteristic
228#2367C2212yes—
229#2367C2211yescharacteristic
230#2367C2211yescharacteristic
231#2366C2211yescharacteristic
232#2366C2212yes—
233#2366C2212yes—
234#2365C2211yescharacteristic
235#2363C2214yes—
236#2363C2212yes—
237#2361C2212yes—
238#2361C2211yescharacteristic
239#2361C2211yescharacteristic
240#2360C2212yes—
241#2360C2211yescharacteristic
242#2360C2211yescharacteristic
243#2359C2212yes—
244#2359C2212yes—
245#2355C2211yescharacteristic
246#2354C2212yes—
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2352C2212yes—
250#2352C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yes—
255#2346C2212yes—
256#2341C2212yes—
257#2334C2214yes—
258#2331C2212yes—
259#2328C2214yes—
260#2326C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2319C2214yes—
267#2319C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#127C2212yes—
271C4×#127C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2297C2214yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#556—28no—
302#553—48no—
303#550—28no—
304#547—48no—
305#542—48no—
306#532—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2314yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—28no—
317#529—48no—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C4×#41—48no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2314yes—
418C22×C42C2312yes—
419#401C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
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#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#383C2314yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#381C2312yes—
730#381C2314yes—
731#381C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811#376C2311yescharacteristic
812#376C2314yes—
813#376C2312yes—
814#376C2311yescharacteristic
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—48no—
821C2×#41—48no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—48no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867#127—24no—
868#127—28no—
869#127—44no—
870#127—42no—
871#127—44no—
872#127—48no—
873#126—28no—
874#126—216no—
875#126—48no—
876#126—48no—
877#126—48no—
878#125—24no—
879#125—24no—
880#125—44no—
881#124—24no—
882#124—28no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—48no—
887#124—48no—
888#123—28no—
889#123—48no—
890#123—44no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—48no—
902#121—24no—
903#121—28no—
904#121—216no—
905#121—24no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—42no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8#4118yescomplemented
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—44no—
956#117—28no—
957#117—28no—
958#117—28no—
959#117—44no—
960#117—44no—
961#117—42no—
962#117—48no—
963#117—42no—
964#117—48no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C42—24no—
1096C2×C42—48no—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2514yes—
1201C24C2511yescharacteristic
1202#41—432no—
1203#41—832no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8C2×#4114yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—28no—
1299C22×C4—24no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4C2×#4114yes—
1408C4⋊C4C2×#4118yes—
1409C4⋊C4H(5,𝔽2)14yes—
1410C4⋊C4H(5,𝔽2)14yes—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—22no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—28no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—28no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—44no—
1503C42—42no—
1504C42—42no—
1505C42—41no—
1506C42—41no—
1507C42—41no—
1508C42—44no—
1509C42—42no—
1510C42—42no—
1511C42—44no—
1512C42—44no—
1513C42C2×#4114yes—
1514C42C2×#4118yes—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—22no—
1549C23#58512yes—
1550C23C2611yescharacteristic
1551Q8—28no—
1552Q8—48no—
1553Q8—88no—
1554D4—48no—
1555D4—48no—
1556D4—416no—
1557D4—44no—
1558D4—48no—
1559D4—44no—
1560D4—44no—
1561D4—48no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—84no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—88no—
1572D4—164no—
1573D4—164no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—416no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—416no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4C22×#4114yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C2×H(5,𝔽2)14yes—
1674C2×C4C2×H(5,𝔽2)14yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—44no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—44no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22C23×#4111yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C4—24no—
1723C4—24no—
1724C4—22no—
1725C4—22no—
1726C4—24no—
1727C4—24no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—44no—
1732C4—42no—
1733C4—44no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—44no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4#346014yes—
1751C4#351714yes—
1752C2—42no—
1753C2—84no—
1754C2—82no—
1755C2—82no—
1756C2—82no—
1757C2C2×#346011yescharacteristic
1758C2C2×#351711yescharacteristic
1759C2#6281011yescharacteristic
1760C2#6301211yescharacteristic
1761C2#6301911yescharacteristic
1762C2#6302211yescharacteristic
1763C2#6302911yescharacteristic
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. #42907C2semidirect
2. #42855C2semidirect
3. #41930C2semidirect
4. #41322C2semidirect
5. #40150C2semidirect
6. #39821C2semidirect
7. #39747C2semidirect
8. #39582C2semidirect
9. #39530C2semidirect
10. #39259C2semidirect
11. #39182C2semidirect
12. #39138C2semidirect
13. #39136C2semidirect
14. #38846C2semidirect
15. #37797C2semidirect
16. #37772C2semidirect
17. #37626C2semidirect
18. #37587C2semidirect
19. #36586C2semidirect
20. #36468C2semidirect
21. #36442C2semidirect
22. #36404C2semidirect
23. #36126C2semidirect
24. #36115C2semidirect
25. #35798C2semidirect
26. #35768C2semidirect
27. #35288C2semidirect
28. #35214C2semidirect
29. #35197C2semidirect
30. #35170C2semidirect
31. #34970C2semidirect
32. #34889C2semidirect
33. #34322C2semidirect
34. C4×#550C2semidirect
35. #34153C2semidirect
928. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#429072
#428552
#419302
#413222
#401502
#398212
#397472
#395822
#395302
#392592
#391822
#391382
#391362
#388462
#377972
#377722
#376262
#375872
#365862
#364682
#364422
#364042
#361262
#361152
#357982
#357682
#352882
#352142
#351972
#351702
#349702
#348892
#343222
C4×#5502
#341532