Finite Group Databasebeta

← #7699930

Subgroups — #7699930

Order 512.

5590 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59882C214yesmaximal, complemented
2#59780C214yesmaximal, complemented
3#59764C212yesmaximal, complemented
4#59722C214yesmaximal, complemented
5#59717C212yesmaximal, complemented
6#59716C212yesmaximal, complemented
7#59677C212yesmaximal, complemented
8#59673C211yesmaximal, characteristic, complemented
9#59630C212yesmaximal, complemented
10#59136C211yesmaximal, characteristic, complemented
11#59110C212yesmaximal, complemented
12#59057C211yesmaximal, characteristic, complemented
13#36588C212yesmaximal, complemented
14#36587C211yesmaximal, characteristic, complemented
15#36480C211yesmaximal, characteristic, complemented
16#36479C212yesmaximal, complemented
17#36463C211yesmaximal, characteristic, complemented
18#36462C212yesmaximal, complemented
19#36424C212yesmaximal, complemented
20#36374C214yesmaximal, complemented
21#36301C211yesmaximal, characteristic, complemented
22#36300C211yesmaximal, characteristic, complemented
23#36294C212yesmaximal, complemented
24#36292C212yesmaximal, complemented
25#36257C212yesmaximal, complemented
26#36250C212yesmaximal, complemented
27#36126C211yesmaximal, characteristic, complemented
28#36122C211yesmaximal, characteristic, complemented
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#553C211yesmaximal, characteristic, complemented
31C4×#552C211yesmaximal, characteristic, complemented
32C4×#547C212yesmaximal, complemented
33#34155C211yesmaximal, characteristic, complemented
34C2×#2369C211yesmaximal, characteristic, complemented
35#34141C212yesmaximal, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#548C2212yes—
40C2×#547C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2212yes—
43C22×C4⋊Q8C2211yescharacteristic
44C2×C4×#41C2214yes—
45#2864C2212yes—
46#2863C2212yes—
47#2860C2212yes—
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2855C2214yes—
52#2854C2214yes—
53#2854C2212yes—
54#2854C2212yes—
55#2850C2214yes—
56#2850C2212yes—
57#2800C2214yes—
58#2799C2214yes—
59#2779C2214yes—
60#2759C2214yes—
61#2751C2214yes—
62#2730C2214yes—
63#2729C2214yes—
64#2715C2214yes—
65#2710C2214yes—
66#2608C2214yes—
67#2607C2214yes—
68#2605C2214yes—
69#2597C2214yes—
70#2596C2214yes—
71#2595C2214yes—
72#2594C2214yes—
73#2594C2214yes—
74#2593C2214yes—
75#2592C2214yes—
76#2581C2214yes—
77#2574C2214yes—
78#2573C2214yes—
79#2572C2214yes—
80#2571C2211yescharacteristic
81#2567C2211yescharacteristic
82#2563C2211yescharacteristic
83#2560C2214yes—
84#2560C2214yes—
85#2559C2214yes—
86#2558C2214yes—
87#2557C2214yes—
88#2556C2214yes—
89#2554C2214yes—
90#2551C2211yescharacteristic
91#2550C2212yes—
92#2550C2212yes—
93#2550C2212yes—
94#2548C2211yescharacteristic
95#2545C2212yes—
96#2541C2211yescharacteristic
97#2540C2212yes—
98#2530C2214yes—
99#2529C2214yes—
100#2527C2214yes—
101#2523C2214yes—
102#2522C2214yes—
103#2521C2214yes—
104#2518C2214yes—
105#2513C2212yes—
106#2513C2212yes—
107#2513C2212yes—
108#2513C2212yes—
109#2512C2212yes—
110#2510C2214yes—
111#2509C2212yes—
112#2509C2212yes—
113#2509C2212yes—
114#2508C2212yes—
115#2508C2212yes—
116#2504C2212yes—
117#2498C2214yes—
118#2497C2212yes—
119#2494C2212yes—
120#2494C2212yes—
121#2492C2212yes—
122#2492C2212yes—
123#2491C2212yes—
124#2491C2212yes—
125#2491C2212yes—
126#2490C2212yes—
127#2490C2212yes—
128#2488C2214yes—
129#2485C2212yes—
130#2481C2214yes—
131#2478C2214yes—
132#2477C2214yes—
133#2477C2214yes—
134#2474C2214yes—
135#2474C2214yes—
136#2470C2214yes—
137#2466C2214yes—
138#2465C2214yes—
139#2465C2214yes—
140#2461C2214yes—
141#2459C2214yes—
142#2459C2214yes—
143#2454C2212yes—
144#2454C2212yes—
145#2452C2212yes—
146#2452C2212yes—
147#2452C2212yes—
148#2452C2212yes—
149#2448C2212yes—
150#2447C2212yes—
151#2445C2212yes—
152#2445C2212yes—
153#2444C2214yes—
154#2444C2214yes—
155#2443C2214yes—
156#2442C2212yes—
157#2440C2212yes—
158#2439C2212yes—
159#2436C2212yes—
160#2432C2212yes—
161#2430C2214yes—
162#2430C2214yes—
163#2428C2212yes—
164#2427C2212yes—
165#2425C2214yes—
166#2420C2212yes—
167#2420C2212yes—
168#2417C2212yes—
169#2416C2214yes—
170#2416C2212yes—
171#2416C2212yes—
172#2416C2212yes—
173#2416C2212yes—
174#2415C2214yes—
175#2409C2214yes—
176#2407C2214yes—
177#2374C2212yes—
178#2373C2212yes—
179#2373C2212yes—
180#2372C2214yes—
181#2371C2212yes—
182#2370C2211yescharacteristic
183#2370C2211yescharacteristic
184#2370C2212yes—
185#2369C2211yescharacteristic
186#2369C2211yescharacteristic
187#2369C2212yes—
188#2369C2212yes—
189#2369C2214yes—
190#2369C2211yescharacteristic
191#2369C2212yes—
192#2369C2211yescharacteristic
193#2369C2212yes—
194#2369C2211yescharacteristic
195#2368C2214yes—
196#2367C2214yes—
197#2367C2212yes—
198#2367C2214yes—
199#2366C2211yescharacteristic
200#2366C2212yes—
201#2366C2212yes—
202#2366C2211yescharacteristic
203#2365C2212yes—
204#2365C2212yes—
205#2365C2212yes—
206#2364C2212yes—
207#2364C2214yes—
208#2364C2214yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2211yescharacteristic
214#2362C2214yes—
215#2362C2211yescharacteristic
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2212yes—
220#2361C2212yes—
221#2361C2211yescharacteristic
222#2361C2212yes—
223#2360C2212yes—
224#2360C2211yescharacteristic
225#2359C2212yes—
226#2359C2214yes—
227#2359C2214yes—
228#2357C2212yes—
229#2357C2212yes—
230#2357C2211yescharacteristic
231#2356C2211yescharacteristic
232#2355C2211yescharacteristic
233#2354C2212yes—
234#2353C2212yes—
235#2352C2214yes—
236#2352C2211yescharacteristic
237#2352C2212yes—
238#2352C2211yescharacteristic
239#2349C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242#2347C2211yescharacteristic
243#2347C2212yes—
244#2346C2211yescharacteristic
245#2345C2212yes—
246#2345C2211yescharacteristic
247#2344C2211yescharacteristic
248#2344C2212yes—
249#2343C2212yes—
250#2339C2214yes—
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2212yes—
253C4×#125C2211yescharacteristic
254C4×#125C2211yescharacteristic
255C4×#125C2212yes—
256C4×#125C2212yes—
257C4×#126C2212yes—
258C4×#126C2212yes—
259C4×C22⋊Q8C2211yescharacteristic
260C4×C22⋊Q8C2214yes—
261C4×C22⋊Q8C2214yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2212yes—
264C4×#123C2214yes—
265C4×#123C2214yes—
266C4×#123C2212yes—
267C4×#123C2212yes—
268C4×#121C2211yescharacteristic
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273#2297C2214yes—
274#2297C2214yes—
275C2×#391C2214yes—
276#2293C2212yes—
277#2293C2212yes—
278#2293C2212yes—
279#2293C2212yes—
280C2×#389C2212yes—
281C2×#389C2212yes—
282#2290C2214yes—
283#2290C2214yes—
284C42×Q8C2211yescharacteristic
285C42×D4C2211yescharacteristic
286C42×D4C2212yes—
287C42×D4C2212yes—
288C42×D4C2212yes—
289C42×D4C2212yes—
290C42×D4C2211yescharacteristic
291C4×#117C2212yes—
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2314yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#554—28no—
303#553—28no—
304#552—28no—
305#548—48no—
306#547—216no—
307#532—28no—
308#532—216no—
309C2×C4⋊Q8—28no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C4×#41—416no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2314yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2314yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2314yes—
411C22×C42C2312yes—
412C22×C42C2314yes—
413C22×C42C2312yes—
414C22×C42C2314yes—
415#401C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#383C2312yes—
681#383C2312yes—
682#383C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#381C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2314yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2311yescharacteristic
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—216no—
821C2×#41—216no—
822C2×#41—44no—
823C2×#41—48no—
824C2×#41—82no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8—82no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869C4⋊Q8#4118yescomplemented
870#127—28no—
871#127—24no—
872#126—28no—
873#126—28no—
874#126—84no—
875#125—28no—
876#125—24no—
877#125—24no—
878#125—28no—
879#124—28no—
880#124—216no—
881#124—48no—
882#124—44no—
883#124—44no—
884#124—82no—
885#123—216no—
886#123—28no—
887#123—216no—
888#123—28no—
889#123—84no—
890C22⋊Q8—216no—
891C22⋊Q8—24no—
892C22⋊Q8—216no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—84no—
898#121—216no—
899#121—24no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—44no—
907#121—48no—
908#121—44no—
909#121—84no—
910#121#4118yescomplemented
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—48no—
915C4×Q8—48no—
916C4×Q8—42no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—216no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941#117—28no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—28no—
946#117—48no—
947#117—48no—
948#117—42no—
949#117—84no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—42no—
957C2×C4⋊C4—84no—
958C2×C4⋊C4#4118yescomplemented
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C42—28no—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—48no—
1076C2×C42—48no—
1077C2×C42—44no—
1078C2×C42—44no—
1079C2×C42—48no—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2511yescharacteristic
1196C24C2514yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199#41—464no—
1200#41—816no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—28no—
1204C2×Q8—28no—
1205C2×Q8—28no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—44no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—816no—
1216C2×Q8C2×#4118yes—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4118yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4C2×#4114yes—
1305C22×C4C2×#4118yes—
1306C22×C4C2×#4114yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4C2×#4114yes—
1394C4⋊C4C2×#4118yes—
1395C4⋊C4C2×#4118yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4C2×#4118yes—
1398C4⋊C4C2×#4114yes—
1399C4⋊C42−1+414yes—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4C2×#4118yes—
1450C22⋊C4H(5,𝔽2)14yes—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—24no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—44no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—41no—
1494C42—42no—
1495C42C2×#4114yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—21no—
1512C23—21no—
1513C23—24no—
1514C23—21no—
1515C23—24no—
1516C23—21no—
1517C23—24no—
1518C23—24no—
1519C23—21no—
1520C23C22×#4114yes—
1521C23C22×#4112yes—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2611yescharacteristic
1525Q8—48no—
1526Q8—416no—
1527Q8—44no—
1528Q8—88no—
1529Q8—84no—
1530D4—216no—
1531D4—28no—
1532D4—416no—
1533D4—44no—
1534D4—416no—
1535D4—48no—
1536D4—48no—
1537D4—88no—
1538D4—84no—
1539D4—84no—
1540D4—88no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—216no—
1562C2×C4—28no—
1563C2×C4—28no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—48no—
1622C2×C4—416no—
1623C2×C4—416no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—416no—
1627C2×C4—44no—
1628C2×C4—416no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4114yes—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4118yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×2−1+414yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—44no—
1668C22—41no—
1669C22—44no—
1670C22—41no—
1671C22—44no—
1672C22—44no—
1673C22—41no—
1674C22—41no—
1675C22—44no—
1676C22—44no—
1677C22—41no—
1678C22—41no—
1679C22—44no—
1680C22#348114yes—
1681C22C23×#4111yescharacteristic
1682C22C23×#4111yescharacteristic
1683C22C23×#4111yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C22×2−1+411yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C4—22no—
1689C4—28no—
1690C4—22no—
1691C4—24no—
1692C4—22no—
1693C4—22no—
1694C4—24no—
1695C4—24no—
1696C4—24no—
1697C4—22no—
1698C4—44no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—41no—
1716C4—41no—
1717C4#348014yes—
1718C4#348214yes—
1719C2—24no—
1720C2—44no—
1721C2—81no—
1722C2—84no—
1723C2C2×#348011yescharacteristic
1724C2C2×#348111yescharacteristic
1725C2C2×#348211yescharacteristic
1726C2#6298311yescharacteristic
1727C2#6299411yescharacteristic
1728C2#6299911yescharacteristic
1729C2#6301311yescharacteristic
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. #59882C2semidirect
2. #59780C2semidirect
3. #59764C2semidirect
4. #59722C2semidirect
5. #59717C2semidirect
6. #59716C2semidirect
7. #59677C2semidirect
8. #59673C2semidirect
9. #59630C2semidirect
10. #59136C2semidirect
11. #59110C2semidirect
12. #59057C2semidirect
13. #36588C2semidirect
14. #36587C2semidirect
15. #36480C2semidirect
16. #36479C2semidirect
17. #36463C2semidirect
18. #36462C2semidirect
19. #36424C2semidirect
20. #36374C2semidirect
21. #36301C2semidirect
22. #36300C2semidirect
23. #36294C2semidirect
24. #36292C2semidirect
25. #36257C2semidirect
26. #36250C2semidirect
27. #36126C2semidirect
28. #36122C2semidirect
29. C4×#554C2semidirect
30. C4×#553C2semidirect
31. C4×#552C2semidirect
32. C4×#547C2semidirect
33. #34155C2semidirect
34. C2×#2369C2semidirect
35. #34141C2semidirect
869. C4⋊Q8#41semidirect
910. #121#41semidirect
958. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598822
#597802
#597642
#597222
#597172
#597162
#596772
#596732
#596302
#591362
#591102
#590572
#365882
#365872
#364802
#364792
#364632
#364622
#364242
#363742
#363012
#363002
#362942
#362922
#362572
#362502
#361262
#361222
C4×#5542
C4×#5532
C4×#5522
C4×#5472
#341552
C2×#23692
#341412