Finite Group Databasebeta

← #7671101

Subgroups — #7671101

Order 512.

5660 conjugacy classes of subgroups.

The subgroup lattice has 1821 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59729C214yesmaximal, complemented
2#59584C212yesmaximal, complemented
3#59417C212yesmaximal, complemented
4#59275C212yesmaximal, complemented
5#59097C212yesmaximal, complemented
6#59051C211yesmaximal, characteristic, complemented
7#59050C211yesmaximal, characteristic, complemented
8#59036C211yesmaximal, characteristic, complemented
9#59033C211yesmaximal, characteristic, complemented
10#40361C214yesmaximal, complemented
11#40203C212yesmaximal, complemented
12#40153C212yesmaximal, complemented
13#39929C212yesmaximal, complemented
14#39858C212yesmaximal, complemented
15#38702C214yesmaximal, complemented
16#36639C211yesmaximal, characteristic, complemented
17#36493C212yesmaximal, complemented
18#36469C211yesmaximal, characteristic, complemented
19#36465C211yesmaximal, characteristic, complemented
20#36463C211yesmaximal, characteristic, complemented
21#36454C211yesmaximal, characteristic, complemented
22#36415C211yesmaximal, characteristic, complemented
23#36412C211yesmaximal, characteristic, complemented
24#36374C212yesmaximal, complemented
25#36373C212yesmaximal, complemented
26#36366C212yesmaximal, complemented
27#36303C211yesmaximal, characteristic, complemented
28#36286C211yesmaximal, characteristic, complemented
29#35470C214yesmaximal, complemented
30#35109C212yesmaximal, complemented
31#35044C212yesmaximal, complemented
32#34330C212yesmaximal, complemented
33#34327C212yesmaximal, complemented
34C4×#532C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2211yescharacteristic
38C2×#550C2212yes—
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#547C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#529C2211yescharacteristic
48C2×C4×#41C2212yes—
49#2863C2212yes—
50#2862C2211yescharacteristic
51#2862C2211yescharacteristic
52#2861C2212yes—
53#2861C2212yes—
54#2858C2212yes—
55#2858C2211yescharacteristic
56#2858C2211yescharacteristic
57#2856C2212yes—
58#2855C2212yes—
59#2854C2212yes—
60#2854C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2850C2212yes—
65#2850C2212yes—
66#2850C2212yes—
67#2777C2214yes—
68#2754C2214yes—
69#2752C2214yes—
70#2749C2214yes—
71#2743C2214yes—
72#2730C2214yes—
73#2723C2214yes—
74#2714C2214yes—
75#2703C2214yes—
76#2700C2214yes—
77#2699C2214yes—
78#2696C2214yes—
79#2692C2214yes—
80#2688C2214yes—
81#2673C2214yes—
82#2673C2214yes—
83#2651C2214yes—
84#2648C2214yes—
85#2635C2214yes—
86#2631C2214yes—
87#2610C2214yes—
88#2605C2214yes—
89#2602C2214yes—
90#2598C2214yes—
91#2597C2214yes—
92#2593C2214yes—
93#2592C2212yes—
94#2588C2214yes—
95#2581C2212yes—
96#2575C2214yes—
97#2575C2214yes—
98#2570C2212yes—
99#2568C2211yescharacteristic
100#2567C2211yescharacteristic
101#2563C2211yescharacteristic
102#2557C2214yes—
103#2557C2214yes—
104#2557C2214yes—
105#2557C2214yes—
106#2557C2214yes—
107#2555C2214yes—
108#2555C2214yes—
109#2555C2214yes—
110#2550C2212yes—
111#2547C2211yescharacteristic
112#2547C2211yescharacteristic
113#2544C2212yes—
114#2544C2212yes—
115#2542C2212yes—
116#2542C2211yescharacteristic
117#2541C2211yescharacteristic
118#2541C2211yescharacteristic
119#2541C2212yes—
120#2541C2212yes—
121#2540C2212yes—
122#2540C2214yes—
123#2540C2214yes—
124#2540C2212yes—
125#2540C2212yes—
126#2538C2212yes—
127#2535C2212yes—
128#2535C2212yes—
129#2535C2212yes—
130#2526C2214yes—
131#2526C2214yes—
132#2517C2214yes—
133#2516C2214yes—
134#2516C2214yes—
135#2513C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2503C2212yes—
139#2500C2212yes—
140#2499C2212yes—
141#2492C2212yes—
142#2492C2212yes—
143#2491C2212yes—
144#2490C2212yes—
145#2490C2212yes—
146#2489C2212yes—
147#2488C2214yes—
148#2488C2214yes—
149#2488C2214yes—
150#2477C2214yes—
151#2476C2214yes—
152#2474C2214yes—
153#2471C2214yes—
154#2471C2214yes—
155#2471C2214yes—
156#2465C2214yes—
157#2465C2214yes—
158#2464C2214yes—
159#2459C2214yes—
160#2459C2214yes—
161#2459C2214yes—
162#2459C2214yes—
163#2457C2214yes—
164#2456C2214yes—
165#2456C2214yes—
166#2456C2214yes—
167#2454C2212yes—
168#2451C2212yes—
169#2448C2214yes—
170#2448C2214yes—
171#2447C2212yes—
172#2447C2212yes—
173#2445C2212yes—
174#2444C2214yes—
175#2444C2214yes—
176#2441C2212yes—
177#2439C2212yes—
178#2436C2212yes—
179#2431C2212yes—
180#2431C2212yes—
181#2431C2214yes—
182#2431C2212yes—
183#2431C2212yes—
184#2430C2214yes—
185#2428C2212yes—
186#2428C2212yes—
187#2428C2212yes—
188#2426C2212yes—
189#2426C2212yes—
190#2423C2212yes—
191#2422C2212yes—
192#2421C2212yes—
193#2420C2212yes—
194#2420C2212yes—
195#2416C2212yes—
196#2415C2212yes—
197#2414C2212yes—
198#2409C2212yes—
199#2407C2212yes—
200#2407C2212yes—
201#2372C2214yes—
202#2369C2211yescharacteristic
203#2368C2214yes—
204#2367C2212yes—
205#2367C2212yes—
206#2366C2212yes—
207#2366C2214yes—
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2364C2214yes—
212#2364C2214yes—
213#2364C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2214yes—
217#2363C2212yes—
218#2362C2212yes—
219#2361C2212yes—
220#2359C2214yes—
221#2357C2212yes—
222#2357C2214yes—
223#2356C2212yes—
224#2355C2212yes—
225#2355C2212yes—
226#2354C2212yes—
227#2353C2214yes—
228#2352C2212yes—
229#2352C2212yes—
230Q8×C22⋊C4C2212yes—
231#2339C2212yes—
232#2339C2212yes—
233#2339C2212yes—
234#2339C2212yes—
235#2337C2214yes—
236#2333C2214yes—
237#2333C2214yes—
238#2333C2214yes—
239#2332C2214yes—
240#2328C2214yes—
241#2325C2214yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×#127C2212yes—
245C4×#127C2211yescharacteristic
246C4×#127C2211yescharacteristic
247C4×#125C2211yescharacteristic
248C4×#125C2211yescharacteristic
249C4×#126C2212yes—
250C4×#126C2212yes—
251C4×#124C2212yes—
252C4×#124C2211yescharacteristic
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×#124C2212yes—
257C4×#124C2211yescharacteristic
258C4×#124C2212yes—
259C4×C22⋊Q8C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×#123C2212yes—
263C4×#123C2212yes—
264C4×#121C2212yes—
265C4×#121C2212yes—
266C4×#121C2211yescharacteristic
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2211yescharacteristic
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2212yes—
273C4×#121C2211yescharacteristic
274#2298C2212yes—
275#2297C2212yes—
276#2297C2212yes—
277#2297C2212yes—
278#2297C2212yes—
279#2297C2212yes—
280#2295C2212yes—
281#2295C2211yescharacteristic
282C2×#391C2212yes—
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2275C2214yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#559—48no—
305#555—44no—
306#550—216no—
307#550—44no—
308D4×Q8—44no—
309#548—216no—
310#548—48no—
311#547—44no—
312#533—44no—
313#532—28no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2314yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326#529—28no—
327C2×#126C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2311yescharacteristic
379C4×#41—48no—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437C22×C42C2312yes—
438C22×C42C2312yes—
439C22×C42C2311yescharacteristic
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
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#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
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#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#383C2312yes—
709#383C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8—28no—
836C22×Q8—44no—
837C22×Q8—44no—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—24no—
889C4⋊Q8—44no—
890#127—24no—
891#127—28no—
892#127—216no—
893#127—24no—
894#127—44no—
895#127—44no—
896#126—28no—
897#125—24no—
898#125—44no—
899#124—24no—
900#124—28no—
901#124—28no—
902#124—216no—
903#124—28no—
904#124—44no—
905#124—44no—
906#124—48no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—48no—
911#124—48no—
912#123—28no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917C22⋊Q8—24no—
918C22⋊Q8—28no—
919C22⋊Q8—216no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—28no—
928#121—216no—
929#121—24no—
930#121—24no—
931#121—28no—
932#121—216no—
933#121—28no—
934#121—216no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121#4118yescomplemented
948C4×Q8—28no—
949C4×Q8—28no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8#4118yescomplemented
957C4×D4—24no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—28no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—216no—
966C4×D4—28no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—48no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—48no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—48no—
989#117—28no—
990#117—44no—
991#117—44no—
992#117—44no—
993#117—44no—
994#117—44no—
995#117—44no—
996#117—44no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—44no—
1113C2×C42—44no—
1114C2×C42—42no—
1115C2×C42—44no—
1116C2×C42—42no—
1117C2×C42—42no—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2511yescharacteristic
1228C24C2512yes—
1229#41—432no—
1230#41—816no—
1231#41—816no—
1232#41—816no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—28no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—42no—
1246C2×Q8—44no—
1247C2×Q8—44no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—816no—
1251C2×Q8C2×#4114yes—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
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—42no—
1298C2×D4—42no—
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—
1309C2×D4—44no—
1310C2×D4C2×#4114yes—
1311C2×D4C2×#4118yes—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4C2×#4114yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4C2×#4114yes—
1451C4⋊C4C2×#4114yes—
1452C4⋊C4C2×#4118yes—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
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—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4C2×#4118yes—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—24no—
1523C42—28no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—41no—
1542C42—41no—
1543C42—41no—
1544C42—42no—
1545C42—42no—
1546C42—41no—
1547C42—41no—
1548C42—41no—
1549C42—42no—
1550C42—42no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—42no—
1557C42—44no—
1558C42—44no—
1559C42C2×#4114yes—
1560C42C2×#4118yes—
1561C42H(5,𝔽2)14yes—
1562C42H(5,𝔽2)14yes—
1563C23—21no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—24no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23C22×#4112yes—
1597C23C22×#4114yes—
1598C23C2611yescharacteristic
1599Q8—28no—
1600Q8—48no—
1601Q8—48no—
1602Q8—48no—
1603Q8—84no—
1604Q8—88no—
1605D4—28no—
1606D4—48no—
1607D4—48no—
1608D4—48no—
1609D4—416no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—44no—
1615D4—48no—
1616D4—88no—
1617D4—84no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—164no—
1623D4—164no—
1624D4—164no—
1625C2×C4—28no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—28no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—88no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—164no—
1719C2×C4C22×#4112yes—
1720C2×C4C22×#4114yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4114yes—
1724C2×C4C22×#4114yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4#58512yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—24no—
1738C22—22no—
1739C22—24no—
1740C22—22no—
1741C22—24no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22C23×#4111yescharacteristic
1772C22C23×#4111yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22C2×#58511yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—24no—
1781C4—22no—
1782C4—22no—
1783C4—24no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—24no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—44no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—44no—
1805C4—41no—
1806C4#350814yes—
1807C4#351414yes—
1808C2—42no—
1809C2—44no—
1810C2—82no—
1811C2—82no—
1812C2—84no—
1813C2#41211yescharacteristic
1814C2#6277311yescharacteristic
1815C2C2×#351411yescharacteristic
1816C2#6279311yescharacteristic
1817C2C2×#350811yescharacteristic
1818C2#6283011yescharacteristic
1819C2#6283611yescharacteristic
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. #59729C2semidirect
2. #59584C2semidirect
3. #59417C2semidirect
4. #59275C2semidirect
5. #59097C2semidirect
6. #59051C2semidirect
7. #59050C2semidirect
8. #59036C2semidirect
9. #59033C2semidirect
10. #40361C2semidirect
11. #40203C2semidirect
12. #40153C2semidirect
13. #39929C2semidirect
14. #39858C2semidirect
15. #38702C2semidirect
16. #36639C2semidirect
17. #36493C2semidirect
18. #36469C2semidirect
19. #36465C2semidirect
20. #36463C2semidirect
21. #36454C2semidirect
22. #36415C2semidirect
23. #36412C2semidirect
24. #36374C2semidirect
25. #36373C2semidirect
26. #36366C2semidirect
27. #36303C2semidirect
28. #36286C2semidirect
29. #35470C2semidirect
30. #35109C2semidirect
31. #35044C2semidirect
32. #34330C2semidirect
33. #34327C2semidirect
34. C4×#532C2semidirect
35. C4×#529C2semidirect
947. #121#41semidirect
956. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597292
#595842
#594172
#592752
#590972
#590512
#590502
#590362
#590332
#403612
#402032
#401532
#399292
#398582
#387022
#366392
#364932
#364692
#364652
#364632
#364542
#364152
#364122
#363742
#363732
#363662
#363032
#362862
#354702
#351092
#350442
#343302
#343272
C4×#5322
C4×#5292