Finite Group Databasebeta

← #7693200

Subgroups — #7693200

Order 512.

5611 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59977C214yesmaximal, complemented
2#59952C212yesmaximal, complemented
3#59822C211yesmaximal, characteristic, complemented
4#59640C212yesmaximal, complemented
5#59640C211yesmaximal, characteristic, complemented
6#59427C211yesmaximal, characteristic, complemented
7#59403C212yesmaximal, complemented
8#59115C212yesmaximal, complemented
9#45369C212yesmaximal, complemented
10#44963C212yesmaximal, complemented
11#44265C214yesmaximal, complemented
12#43444C214yesmaximal, complemented
13#40129C212yesmaximal, complemented
14#40125C212yesmaximal, complemented
15#40112C214yesmaximal, complemented
16#39747C211yesmaximal, characteristic, complemented
17#39745C211yesmaximal, characteristic, complemented
18#39739C212yesmaximal, complemented
19#36597C211yesmaximal, characteristic, complemented
20#36595C211yesmaximal, characteristic, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36419C212yesmaximal, complemented
23#36369C212yesmaximal, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36231C212yesmaximal, complemented
26#36128C211yesmaximal, characteristic, complemented
27#35956C212yesmaximal, complemented
28#35930C212yesmaximal, complemented
29#34950C211yesmaximal, characteristic, complemented
30#34715C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34329C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#556C2211yescharacteristic
41C2×#556C2212yes—
42C2×#555C2212yes—
43C2×#550C2211yescharacteristic
44C2×#550C2212yes—
45C2×#532C2212yes—
46C2×C4×#41C2212yes—
47#2867C2211yescharacteristic
48#2860C2212yes—
49#2858C2212yes—
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2856C2212yes—
53#2854C2212yes—
54#2850C2214yes—
55#2803C2214yes—
56#2803C2214yes—
57#2803C2214yes—
58#2785C2214yes—
59#2784C2214yes—
60#2783C2214yes—
61#2781C2214yes—
62#2781C2214yes—
63#2756C2214yes—
64#2756C2214yes—
65#2733C2214yes—
66#2733C2214yes—
67#2733C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2686C2214yes—
71#2686C2214yes—
72#2682C2214yes—
73#2682C2214yes—
74#2673C2214yes—
75#2673C2214yes—
76#2662C2214yes—
77#2661C2214yes—
78#2657C2212yes—
79#2657C2212yes—
80#2610C2214yes—
81#2610C2214yes—
82#2610C2214yes—
83#2609C2214yes—
84#2603C2214yes—
85#2602C2214yes—
86#2601C2214yes—
87#2593C2214yes—
88#2592C2212yes—
89#2592C2212yes—
90#2592C2212yes—
91#2592C2212yes—
92#2586C2212yes—
93#2586C2212yes—
94#2582C2211yescharacteristic
95#2568C2212yes—
96#2567C2211yescharacteristic
97#2567C2211yescharacteristic
98#2560C2214yes—
99#2559C2214yes—
100#2559C2214yes—
101#2559C2214yes—
102#2559C2214yes—
103#2557C2214yes—
104#2555C2214yes—
105#2555C2214yes—
106#2554C2214yes—
107#2554C2214yes—
108#2554C2214yes—
109#2554C2214yes—
110#2551C2211yescharacteristic
111#2548C2212yes—
112#2548C2212yes—
113#2548C2211yescharacteristic
114#2548C2212yes—
115#2548C2212yes—
116#2548C2212yes—
117#2548C2212yes—
118#2548C2212yes—
119#2548C2212yes—
120#2547C2211yescharacteristic
121#2546C2211yescharacteristic
122#2545C2212yes—
123#2545C2212yes—
124#2545C2212yes—
125#2544C2212yes—
126#2544C2212yes—
127#2544C2212yes—
128#2544C2212yes—
129#2544C2212yes—
130#2544C2212yes—
131#2544C2212yes—
132#2543C2214yes—
133#2541C2212yes—
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2541C2212yes—
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2537C2212yes—
140#2532C2214yes—
141#2512C2212yes—
142#2507C2211yescharacteristic
143#2507C2211yescharacteristic
144#2507C2212yes—
145#2500C2214yes—
146#2500C2214yes—
147#2500C2212yes—
148#2497C2212yes—
149#2495C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2214yes—
153#2476C2214yes—
154#2476C2214yes—
155#2474C2214yes—
156#2474C2214yes—
157#2464C2214yes—
158#2464C2214yes—
159#2461C2214yes—
160#2461C2214yes—
161#2459C2214yes—
162#2459C2214yes—
163#2459C2214yes—
164#2456C2214yes—
165#2456C2214yes—
166#2456C2214yes—
167#2456C2214yes—
168#2452C2212yes—
169#2451C2211yescharacteristic
170#2451C2211yescharacteristic
171#2451C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2445C2212yes—
175#2445C2212yes—
176#2439C2212yes—
177#2432C2214yes—
178#2431C2214yes—
179#2431C2212yes—
180#2431C2212yes—
181#2430C2214yes—
182#2428C2212yes—
183#2428C2212yes—
184#2428C2212yes—
185#2428C2212yes—
186#2428C2214yes—
187#2426C2212yes—
188#2426C2212yes—
189#2422C2212yes—
190#2420C2212yes—
191#2420C2214yes—
192#2414C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2414C2212yes—
196#2414C2214yes—
197#2407C2212yes—
198#2407C2212yes—
199#2399C2212yes—
200#2399C2212yes—
201#2392C2214yes—
202#2388C2214yes—
203#2374C2214yes—
204#2374C2212yes—
205#2374C2212yes—
206#2373C2214yes—
207#2372C2214yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2211yescharacteristic
214#2367C2211yescharacteristic
215#2367C2212yes—
216#2366C2212yes—
217#2366C2212yes—
218#2366C2211yescharacteristic
219#2366C2211yescharacteristic
220#2366C2212yes—
221#2366C2211yescharacteristic
222#2366C2212yes—
223#2365C2211yescharacteristic
224#2363C2212yes—
225#2363C2214yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2363C2214yes—
230#2362C2212yes—
231#2359C2214yes—
232#2359C2214yes—
233#2357C2212yes—
234#2357C2211yescharacteristic
235#2357C2212yes—
236#2357C2211yescharacteristic
237#2356C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2353C2214yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2212yes—
250#2346C2212yes—
251#2346C2212yes—
252#2341C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2334C2214yes—
257#2328C2212yes—
258#2326C2212yes—
259#2326C2212yes—
260#2326C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2214yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2214yes—
282#2297C2214yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2290C2214yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#559—28no—
302#559—216no—
303#559—28no—
304#559—48no—
305#556—28no—
306#556—48no—
307#555—48no—
308#550—28no—
309#550—48no—
310#532—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C4×#41—48no—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2314yes—
427C2×#117C2314yes—
428C2×#117C2312yes—
429C2×#117C2314yes—
430C22×C42C2314yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433#400C2314yes—
434#400C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2312yes—
461#395C2312yes—
462#395C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
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#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
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#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
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#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#383C2314yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2314yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814#376C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—28no—
822C2×#41—48no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—48no—
826C2×#41—48no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—28no—
875#127—24no—
876#127—24no—
877#127—24no—
878#127—28no—
879#127—44no—
880#127—44no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—44no—
885#127—44no—
886#127—82no—
887#126—216no—
888#126—48no—
889#126—48no—
890#124—28no—
891#124—28no—
892#124—216no—
893#124—28no—
894#124—24no—
895#124—28no—
896#124—28no—
897#124—28no—
898#124—24no—
899#124—48no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—48no—
906#124—48no—
907#124—84no—
908#123—28no—
909#123—216no—
910#123—216no—
911#123—216no—
912#123—28no—
913#123—48no—
914#123—48no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917#121—28no—
918#121—216no—
919#121—28no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—48no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—84no—
932#121—84no—
933#121—84no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—28no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—28no—
941C4×Q8—42no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—44no—
948C4×Q8#4118yescomplemented
949C4×Q8#4118yescomplemented
950C4×D4—28no—
951C4×D4—216no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—48no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—44no—
974C4×D4—48no—
975C4×D4—48no—
976C4×D4—82no—
977C4×D4—84no—
978C4×D4—82no—
979#117—28no—
980#117—28no—
981#117—48no—
982#117—48no—
983#117—48no—
984#117—44no—
985#117—84no—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—44no—
1107C2×C42—48no—
1108C2×C42—44no—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211C24C2512yes—
1212C24C2514yes—
1213C24C2512yes—
1214C24C2514yes—
1215#41—432no—
1216#41—832no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8C2×#4114yes—
1237C2×Q8C2×#4114yes—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
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—
1304C22×C4—24no—
1305C22×C4—28no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—28no—
1318C22×C4—28no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—28no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4C2×#4114yes—
1425C4⋊C4C2×#4114yes—
1426C4⋊C4C2×#4114yes—
1427C4⋊C4C2×#4118yes—
1428C4⋊C4C2×#4114yes—
1429C4⋊C4H(5,𝔽2)14yes—
1430C4⋊C4H(5,𝔽2)14yes—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C42—28no—
1492C42—28no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—22no—
1499C42—28no—
1500C42—24no—
1501C42—28no—
1502C42—22no—
1503C42—24no—
1504C42—22no—
1505C42—24no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—44no—
1517C42—42no—
1518C42—44no—
1519C42—42no—
1520C42—44no—
1521C42—42no—
1522C42—41no—
1523C42—41no—
1524C42—42no—
1525C42—42no—
1526C42—41no—
1527C42—41no—
1528C42—41no—
1529C42—42no—
1530C42C2×#4114yes—
1531C42C2×#4114yes—
1532C42C2×#4118yes—
1533C42C2×#4114yes—
1534C42C2×#4114yes—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—24no—
1547C23—24no—
1548C23—24no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23C2611yescharacteristic
1564Q8—28no—
1565Q8—44no—
1566Q8—48no—
1567Q8—44no—
1568Q8—48no—
1569Q8—84no—
1570Q8—84no—
1571D4—48no—
1572D4—416no—
1573D4—44no—
1574D4—48no—
1575D4—48no—
1576D4—44no—
1577D4—48no—
1578D4—48no—
1579D4—84no—
1580D4—88no—
1581D4—88no—
1582D4—84no—
1583D4—84no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—164no—
1590D4—164no—
1591D4—164no—
1592D4—164no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—416no—
1669C2×C4—48no—
1670C2×C4—416no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—88no—
1676C2×C4—84no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4114yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4112yes—
1692C2×C4C2×H(5,𝔽2)14yes—
1693C2×C4C2×H(5,𝔽2)14yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4#58512yes—
1697C2×C4#58512yes—
1698C22—42no—
1699C22—44no—
1700C22—44no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—44no—
1714C22—42no—
1715C22—42no—
1716C22—44no—
1717C22—44no—
1718C22—42no—
1719C22—44no—
1720C22—42no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—44no—
1725C22—42no—
1726C22C23×#4111yescharacteristic
1727C22C23×#4111yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22H(7,𝔽2)11yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—24no—
1737C4—22no—
1738C4—24no—
1739C4—24no—
1740C4—22no—
1741C4—24no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4—41no—
1760C4—42no—
1761C4—44no—
1762C4#348314yes—
1763C4#350614yes—
1764C2—84no—
1765C2—84no—
1766C2—82no—
1767C2—82no—
1768C2C2×#348311yescharacteristic
1769C2C2×#350611yescharacteristic
1770C2#6281511yescharacteristic
1771C2#6292311yescharacteristic
1772C2#6298611yescharacteristic
1773C2#6301011yescharacteristic
1774C2#6301211yescharacteristic
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. #59977C2semidirect
2. #59952C2semidirect
3. #59822C2semidirect
4. #59640C2semidirect
5. #59640C2semidirect
6. #59427C2semidirect
7. #59403C2semidirect
8. #59115C2semidirect
9. #45369C2semidirect
10. #44963C2semidirect
11. #44265C2semidirect
12. #43444C2semidirect
13. #40129C2semidirect
14. #40125C2semidirect
15. #40112C2semidirect
16. #39747C2semidirect
17. #39745C2semidirect
18. #39739C2semidirect
19. #36597C2semidirect
20. #36595C2semidirect
21. #36469C2semidirect
22. #36419C2semidirect
23. #36369C2semidirect
24. #36271C2semidirect
25. #36231C2semidirect
26. #36128C2semidirect
27. #35956C2semidirect
28. #35930C2semidirect
29. #34950C2semidirect
30. #34715C2semidirect
31. #34331C2semidirect
32. #34329C2semidirect
33. #34324C2semidirect
34. C4×#559C2semidirect
35. C4×#550C2semidirect
948. C4×Q8#41semidirect
949. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599772
#599522
#598222
#596402
#594272
#594032
#591152
#453692
#449632
#442652
#434442
#401292
#401252
#401122
#397472
#397452
#397392
#365972
#365952
#364692
#364192
#363692
#362712
#362312
#361282
#359562
#359302
#349502
#347152
#343312
#343292
#343242
C4×#5592
C4×#5502