Finite Group Databasebeta

← #7654484

Subgroups — #7654484

Order 512.

5628 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42895C212yesmaximal, complemented
2#42838C212yesmaximal, complemented
3#41828C214yesmaximal, complemented
4#41240C214yesmaximal, complemented
5#40174C212yesmaximal, complemented
6#39817C212yesmaximal, complemented
7#39745C211yesmaximal, characteristic, complemented
8#39454C214yesmaximal, complemented
9#39402C212yesmaximal, complemented
10#39262C212yesmaximal, complemented
11#39180C211yesmaximal, characteristic, complemented
12#39138C211yesmaximal, characteristic, complemented
13#39137C211yesmaximal, characteristic, complemented
14#38846C214yesmaximal, complemented
15#37792C212yesmaximal, complemented
16#37775C212yesmaximal, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37587C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36464C211yesmaximal, characteristic, complemented
21#36442C212yesmaximal, complemented
22#36410C212yesmaximal, complemented
23#36128C211yesmaximal, characteristic, complemented
24#36117C211yesmaximal, characteristic, complemented
25#35941C212yesmaximal, complemented
26#35890C212yesmaximal, complemented
27#35278C211yesmaximal, characteristic, complemented
28#35215C212yesmaximal, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35171C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34889C212yesmaximal, complemented
33#34331C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#540C2212yes—
41C2×#540C2214yes—
42C2×#540C2212yes—
43C2×#532C2212yes—
44C2×#529C2211yescharacteristic
45C2×#529C2212yes—
46C2×C4×#41C2212yes—
47#2867C2211yescharacteristic
48#2859C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2856C2212yes—
53#2856C2211yescharacteristic
54#2854C2212yes—
55#2854C2214yes—
56#2854C2212yes—
57#2854C2212yes—
58#2852C2214yes—
59#2829C2214yes—
60#2829C2214yes—
61#2828C2214yes—
62#2800C2214yes—
63#2780C2214yes—
64#2778C2214yes—
65#2755C2214yes—
66#2741C2214yes—
67#2726C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2710C2214yes—
72#2708C2214yes—
73#2708C2214yes—
74#2705C2214yes—
75#2705C2214yes—
76#2703C2214yes—
77#2682C2214yes—
78#2682C2214yes—
79#2682C2214yes—
80#2673C2214yes—
81#2673C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2672C2214yes—
85#2671C2214yes—
86#2661C2214yes—
87#2661C2214yes—
88#2661C2214yes—
89#2661C2214yes—
90#2657C2212yes—
91#2649C2214yes—
92#2648C2214yes—
93#2648C2214yes—
94#2647C2212yes—
95#2644C2212yes—
96#2641C2212yes—
97#2641C2212yes—
98#2635C2214yes—
99#2630C2214yes—
100#2630C2214yes—
101#2624C2212yes—
102#2620C2212yes—
103#2620C2212yes—
104#2619C2212yes—
105#2619C2212yes—
106#2601C2214yes—
107#2598C2214yes—
108#2584C2212yes—
109#2582C2212yes—
110#2578C2214yes—
111#2559C2214yes—
112#2559C2214yes—
113#2559C2214yes—
114#2558C2214yes—
115#2558C2214yes—
116#2557C2214yes—
117#2554C2214yes—
118#2552C2211yescharacteristic
119#2552C2212yes—
120#2552C2211yescharacteristic
121#2550C2212yes—
122#2548C2211yescharacteristic
123#2548C2212yes—
124#2548C2212yes—
125#2544C2212yes—
126#2543C2214yes—
127#2543C2214yes—
128#2541C2211yescharacteristic
129#2541C2212yes—
130#2541C2211yescharacteristic
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2541C2212yes—
134#2541C2212yes—
135#2540C2212yes—
136#2538C2211yescharacteristic
137#2537C2212yes—
138#2537C2211yescharacteristic
139#2535C2212yes—
140#2530C2212yes—
141#2527C2212yes—
142#2521C2214yes—
143#2518C2214yes—
144#2512C2212yes—
145#2512C2212yes—
146#2511C2211yescharacteristic
147#2510C2214yes—
148#2509C2211yescharacteristic
149#2506C2212yes—
150#2501C2212yes—
151#2497C2212yes—
152#2495C2212yes—
153#2494C2211yescharacteristic
154#2492C2211yescharacteristic
155#2490C2214yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2479C2214yes—
160#2477C2212yes—
161#2476C2214yes—
162#2476C2214yes—
163#2471C2214yes—
164#2471C2214yes—
165#2470C2212yes—
166#2470C2214yes—
167#2464C2214yes—
168#2464C2214yes—
169#2464C2214yes—
170#2464C2214yes—
171#2464C2214yes—
172#2457C2214yes—
173#2456C2214yes—
174#2455C2214yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yes—
178#2453C2212yes—
179#2452C2211yescharacteristic
180#2448C2212yes—
181#2447C2211yescharacteristic
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2431C2214yes—
189#2431C2212yes—
190#2431C2212yes—
191#2431C2212yes—
192#2430C2214yes—
193#2428C2214yes—
194#2428C2214yes—
195#2428C2214yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2427C2212yes—
208#2427C2211yescharacteristic
209#2426C2212yes—
210#2426C2212yes—
211#2425C2214yes—
212#2425C2214yes—
213#2422C2212yes—
214#2422C2211yescharacteristic
215#2422C2212yes—
216#2422C2212yes—
217#2416C2212yes—
218#2414C2214yes—
219#2407C2214yes—
220#2407C2212yes—
221#2401C2212yes—
222#2398C2212yes—
223#2395C2214yes—
224#2388C2214yes—
225#2373C2212yes—
226#2373C2212yes—
227#2370C2211yescharacteristic
228#2370C2211yescharacteristic
229#2367C2212yes—
230#2367C2212yes—
231#2367C2211yescharacteristic
232#2367C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2212yes—
236#2366C2212yes—
237#2363C2214yes—
238#2363C2212yes—
239#2363C2212yes—
240#2363C2212yes—
241#2361C2212yes—
242#2361C2211yescharacteristic
243#2361C2211yescharacteristic
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2359C2212yes—
247#2359C2214yes—
248#2359C2212yes—
249#2355C2211yescharacteristic
250#2354C2212yes—
251#2354C2212yes—
252#2354C2212yes—
253#2354C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256#2349C2212yes—
257#2347C2212yes—
258#2341C2212yes—
259#2335C2214yes—
260#2330C2212yes—
261#2328C2212yes—
262#2328C2212yes—
263#2326C2212yes—
264#2324C2212yes—
265#2324C2214yes—
266#2324C2212yes—
267#2324C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#127C2212yes—
271C4×#127C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#121C2214yes—
279C4×#121C2214yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2297C2214yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2290C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#559—28no—
302#553—48no—
303#550—28no—
304#550—48no—
305#540—48no—
306#540—416no—
307#540—48no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2314yes—
323#529—28no—
324#529—48no—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C4×#41—48no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2314yes—
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2314yes—
437C22×C42C2312yes—
438C22×C42C2312yes—
439C22×C42C2312yes—
440#401C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#393C2312yes—
515#393C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2314yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#383C2314yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#381C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812#376C2312yes—
813#376C2311yescharacteristic
814#376C2312yes—
815#376C2311yescharacteristic
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—48no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—48no—
826C2×#41—48no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C4⋊Q8—24no—
873#127—24no—
874#127—28no—
875#127—24no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—44no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—44no—
885#127—48no—
886#126—28no—
887#126—48no—
888#126—48no—
889#125—24no—
890#125—28no—
891#125—44no—
892#125—44no—
893#125—48no—
894#124—24no—
895#124—28no—
896#124—28no—
897#124—42no—
898#124—44no—
899#124—48no—
900#123—28no—
901#123—216no—
902#123—28no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916#121—24no—
917#121—28no—
918#121—216no—
919#121—28no—
920#121—216no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—42no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—48no—
947#121—44no—
948#121—44no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—44no—
952C4×Q8—42no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8#4118yescomplemented
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—24no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—28no—
967C4×D4—28no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—42no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—48no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—48no—
985#117—28no—
986#117—24no—
987#117—28no—
988#117—44no—
989#117—42no—
990#117—48no—
991#117—48no—
992#117—48no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C42—24no—
1120C2×C42—48no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218C24C2512yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2514yes—
1222C24C2511yescharacteristic
1223#41—432no—
1224#41—832no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—42no—
1233C2×Q8C2×#4114yes—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—28no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—28no—
1321C22×C4—22no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—28no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—42no—
1422C4⋊C4—41no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4C2×#4114yes—
1445C4⋊C4C2×#4118yes—
1446C4⋊C4H(5,𝔽2)14yes—
1447C4⋊C4H(5,𝔽2)14yes—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—41no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4H(5,𝔽2)14yes—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—22no—
1521C42—22no—
1522C42—28no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—42no—
1542C42—42no—
1543C42—41no—
1544C42—44no—
1545C42—44no—
1546C42—42no—
1547C42—42no—
1548C42C2×#4114yes—
1549C42C2×#4118yes—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—22no—
1561C23—24no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—24no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—24no—
1584C23C2×H(5,𝔽2)12yes—
1585C23C2611yescharacteristic
1586Q8—28no—
1587Q8—48no—
1588Q8—44no—
1589D4—48no—
1590D4—416no—
1591D4—44no—
1592D4—48no—
1593D4—48no—
1594D4—48no—
1595D4—48no—
1596D4—44no—
1597D4—88no—
1598D4—84no—
1599D4—84no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—88no—
1605D4—84no—
1606D4—88no—
1607D4—164no—
1608D4—164no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—416no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—416no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—88no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—88no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—164no—
1707C2×C4C22×#4112yes—
1708C2×C4C22×#4114yes—
1709C2×C4C22×#4114yes—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4112yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)14yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4#58512yes—
1719C2×C4#58512yes—
1720C2×C4#58512yes—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—44no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—44no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—44no—
1756C22C23×#4111yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22C2×#58511yescharacteristic
1763C4—24no—
1764C4—24no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—24no—
1770C4—24no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—44no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4#346014yes—
1792C4#351714yes—
1793C2—42no—
1794C2—82no—
1795C2—84no—
1796C2—84no—
1797C2—82no—
1798C2C2×#346011yescharacteristic
1799C2C2×#351711yescharacteristic
1800C2#6280011yescharacteristic
1801C2#6301211yescharacteristic
1802C2#6301411yescharacteristic
1803C2#6301411yescharacteristic
1804C2#6303611yescharacteristic
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. #42895C2semidirect
2. #42838C2semidirect
3. #41828C2semidirect
4. #41240C2semidirect
5. #40174C2semidirect
6. #39817C2semidirect
7. #39745C2semidirect
8. #39454C2semidirect
9. #39402C2semidirect
10. #39262C2semidirect
11. #39180C2semidirect
12. #39138C2semidirect
13. #39137C2semidirect
14. #38846C2semidirect
15. #37792C2semidirect
16. #37775C2semidirect
17. #37625C2semidirect
18. #37587C2semidirect
19. #36596C2semidirect
20. #36464C2semidirect
21. #36442C2semidirect
22. #36410C2semidirect
23. #36128C2semidirect
24. #36117C2semidirect
25. #35941C2semidirect
26. #35890C2semidirect
27. #35278C2semidirect
28. #35215C2semidirect
29. #35171C2semidirect
30. #35171C2semidirect
31. #34969C2semidirect
32. #34889C2semidirect
33. #34331C2semidirect
34. C4×#550C2semidirect
35. #34153C2semidirect
955. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#428952
#428382
#418282
#412402
#401742
#398172
#397452
#394542
#394022
#392622
#391802
#391382
#391372
#388462
#377922
#377752
#376252
#375872
#365962
#364642
#364422
#364102
#361282
#361172
#359412
#358902
#352782
#352152
#351712
#349692
#348892
#343312
C4×#5502
#341532