Finite Group Databasebeta

← #7686635

Subgroups — #7686635

Order 512.

5552 conjugacy classes of subgroups.

The subgroup lattice has 1785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60029C214yesmaximal, complemented
2#59702C212yesmaximal, complemented
3#59696C212yesmaximal, complemented
4#59676C212yesmaximal, complemented
5#59657C212yesmaximal, complemented
6#59641C211yesmaximal, characteristic, complemented
7#59322C211yesmaximal, characteristic, complemented
8#59214C211yesmaximal, characteristic, complemented
9#45258C212yesmaximal, complemented
10#44920C212yesmaximal, complemented
11#44815C214yesmaximal, complemented
12#44320C214yesmaximal, complemented
13#40366C214yesmaximal, complemented
14#40179C212yesmaximal, complemented
15#40050C212yesmaximal, complemented
16#39560C212yesmaximal, complemented
17#39341C211yesmaximal, characteristic, complemented
18#38909C211yesmaximal, characteristic, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36496C212yesmaximal, complemented
21#36471C212yesmaximal, complemented
22#36411C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36261C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36087C212yesmaximal, complemented
28#36000C212yesmaximal, complemented
29#34893C212yesmaximal, complemented
30#34889C211yesmaximal, characteristic, complemented
31#34267C212yesmaximal, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2211yescharacteristic
38C2×#555C2212yes—
39C2×#554C2212yes—
40C2×#553C2212yes—
41C2×#550C2211yescharacteristic
42C2×#537C2212yes—
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×#520C2212yes—
46C2×C4×#41C2212yes—
47#2861C2212yes—
48#2861C2212yes—
49#2859C2211yescharacteristic
50#2858C2212yes—
51#2857C2212yes—
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2854C2214yes—
55#2801C2214yes—
56#2796C2214yes—
57#2792C2214yes—
58#2780C2214yes—
59#2778C2214yes—
60#2759C2214yes—
61#2757C2214yes—
62#2756C2214yes—
63#2742C2214yes—
64#2730C2214yes—
65#2723C2214yes—
66#2717C2214yes—
67#2714C2214yes—
68#2710C2214yes—
69#2702C2214yes—
70#2691C2214yes—
71#2691C2214yes—
72#2676C2214yes—
73#2676C2214yes—
74#2675C2214yes—
75#2671C2214yes—
76#2651C2214yes—
77#2632C2214yes—
78#2624C2212yes—
79#2615C2212yes—
80#2610C2214yes—
81#2602C2214yes—
82#2602C2214yes—
83#2602C2214yes—
84#2598C2214yes—
85#2594C2214yes—
86#2589C2214yes—
87#2587C2214yes—
88#2587C2214yes—
89#2584C2212yes—
90#2583C2214yes—
91#2583C2214yes—
92#2582C2211yescharacteristic
93#2580C2212yes—
94#2578C2214yes—
95#2567C2212yes—
96#2567C2212yes—
97#2566C2212yes—
98#2566C2212yes—
99#2560C2214yes—
100#2559C2214yes—
101#2559C2212yes—
102#2557C2212yes—
103#2555C2214yes—
104#2555C2214yes—
105#2553C2214yes—
106#2552C2211yescharacteristic
107#2551C2211yescharacteristic
108#2550C2211yescharacteristic
109#2550C2212yes—
110#2549C2214yes—
111#2548C2211yescharacteristic
112#2544C2212yes—
113#2544C2211yescharacteristic
114#2543C2214yes—
115#2541C2212yes—
116#2541C2211yescharacteristic
117#2540C2214yes—
118#2540C2211yescharacteristic
119#2538C2212yes—
120#2538C2211yescharacteristic
121#2535C2211yescharacteristic
122#2531C2214yes—
123#2525C2214yes—
124#2525C2214yes—
125#2522C2214yes—
126#2521C2212yes—
127#2521C2214yes—
128#2514C2212yes—
129#2513C2212yes—
130#2513C2212yes—
131#2512C2212yes—
132#2512C2212yes—
133#2510C2214yes—
134#2509C2212yes—
135#2507C2212yes—
136#2507C2212yes—
137#2504C2212yes—
138#2501C2212yes—
139#2500C2212yes—
140#2500C2212yes—
141#2497C2212yes—
142#2494C2212yes—
143#2492C2211yescharacteristic
144#2491C2212yes—
145#2491C2212yes—
146#2491C2212yes—
147#2490C2212yes—
148#2490C2211yescharacteristic
149#2487C2212yes—
150#2485C2214yes—
151#2476C2214yes—
152#2476C2214yes—
153#2474C2214yes—
154#2474C2214yes—
155#2465C2214yes—
156#2464C2212yes—
157#2464C2214yes—
158#2464C2214yes—
159#2463C2214yes—
160#2461C2214yes—
161#2461C2214yes—
162#2461C2214yes—
163#2461C2214yes—
164#2461C2214yes—
165#2461C2214yes—
166#2455C2214yes—
167#2454C2212yes—
168#2452C2212yes—
169#2448C2212yes—
170#2445C2212yes—
171#2443C2214yes—
172#2441C2212yes—
173#2440C2212yes—
174#2440C2212yes—
175#2440C2212yes—
176#2440C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2428C2211yescharacteristic
180#2428C2212yes—
181#2428C2212yes—
182#2427C2211yescharacteristic
183#2427C2212yes—
184#2427C2212yes—
185#2426C2214yes—
186#2426C2214yes—
187#2422C2212yes—
188#2422C2212yes—
189#2422C2212yes—
190#2421C2212yes—
191#2416C2212yes—
192#2416C2212yes—
193#2416C2212yes—
194#2416C2212yes—
195#2414C2212yes—
196#2414C2214yes—
197#2407C2212yes—
198#2407C2212yes—
199#2396C2214yes—
200#2396C2214yes—
201#2395C2212yes—
202#2388C2212yes—
203#2373C2214yes—
204#2373C2212yes—
205#2373C2212yes—
206#2367C2212yes—
207#2366C2212yes—
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2364C2214yes—
211#2364C2214yes—
212#2363C2212yes—
213#2363C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2362C2211yescharacteristic
219#2362C2212yes—
220#2362C2211yescharacteristic
221#2362C2212yes—
222#2361C2212yes—
223#2361C2214yes—
224#2361C2214yes—
225#2361C2212yes—
226#2361C2214yes—
227#2361C2212yes—
228#2361C2212yes—
229#2361C2212yes—
230#2361C2214yes—
231#2360C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2354C2212yes—
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2352C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2211yescharacteristic
247#2349C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2347C2211yescharacteristic
253#2347C2211yescharacteristic
254#2347C2212yes—
255#2341C2212yes—
256#2335C2214yes—
257#2326C2214yes—
258#2324C2214yes—
259#2323C2214yes—
260#2314C2212yes—
261#2311C2212yes—
262#2311C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2212yes—
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2214yes—
283C4×#121C2214yes—
284#2297C2212yes—
285#2296C2214yes—
286#2293C2212yes—
287#2293C2212yes—
288C2×#389C2212yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—48no—
302#556—28no—
303#555—48no—
304#554—48no—
305#553—48no—
306#550—28no—
307#537—216no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317#529—28no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372#520—48no—
373C4×#41—48no—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2312yes—
418C2×#117C2311yescharacteristic
419C2×#117C2314yes—
420C2×#117C2314yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2314yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2314yes—
433C22×C42C2312yes—
434#401C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
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#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#383C2312yes—
718#383C2312yes—
719#383C2314yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871#127—24no—
872#127—28no—
873#127—24no—
874#127—44no—
875#126—28no—
876#126—28no—
877#126—28no—
878#126—48no—
879#125—24no—
880#125—28no—
881#125—44no—
882#124—24no—
883#124—28no—
884#124—28no—
885#124—24no—
886#124—48no—
887#124—48no—
888#124—44no—
889#124—48no—
890#124—84no—
891#123—28no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—84no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—216no—
900C22⋊Q8—24no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—84no—
905C22⋊Q8#4118yes—
906#121—24no—
907#121—24no—
908#121—28no—
909#121—28no—
910#121—24no—
911#121—28no—
912#121—216no—
913#121—24no—
914#121—28no—
915#121—216no—
916#121—216no—
917#121—216no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—44no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—82no—
929C4×Q8—24no—
930C4×Q8—28no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—48no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—24no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—48no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—84no—
964C4×D4—84no—
965C4×D4—82no—
966C4×D4#4118yes—
967#117—28no—
968#117—24no—
969#117—24no—
970#117—28no—
971#117—24no—
972#117—28no—
973#117—24no—
974#117—48no—
975#117—48no—
976#117—48no—
977#117—44no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—48no—
984C2×C4⋊C4—82no—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C42—24no—
1112C2×C42—24no—
1113C2×C42—48no—
1114C2×C42—44no—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2414yes—
1173#95C2412yes—
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2414yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24C2511yescharacteristic
1213C24C2512yes—
1214C24C2514yes—
1215C24C2512yes—
1216C24C2511yescharacteristic
1217#41—432no—
1218#41—432no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8C2×#4114yes—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—41no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4C2×#4114yes—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—28no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—44no—
1316C22×C4—41no—
1317C22×C4—44no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4C2×#4118yes—
1338C22×C4C2×#4114yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4C2×#4114yes—
1428C4⋊C4C2×#4114yes—
1429C4⋊C4C2×#4118yes—
1430C4⋊C4H(5,𝔽2)14yes—
1431C4⋊C42−1+414yes—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—22no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—22no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—41no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4C2×#4118yes—
1494C22⋊C4C2×#4118yes—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—24no—
1507C42—24no—
1508C42—22no—
1509C42—28no—
1510C42—24no—
1511C42—24no—
1512C42—28no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—22no—
1518C42—24no—
1519C42—42no—
1520C42—42no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—41no—
1525C42—44no—
1526C42—41no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42C2×#4114yes—
1533C42H(5,𝔽2)14yes—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—24no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—21no—
1556C23—24no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—21no—
1561C23—24no—
1562C23—21no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—21no—
1567C23C22×#4114yes—
1568C23C22×#4112yes—
1569C23C2611yescharacteristic
1570Q8—28no—
1571Q8—48no—
1572Q8—48no—
1573Q8—44no—
1574Q8—164no—
1575D4—28no—
1576D4—48no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—416no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—48no—
1585D4—84no—
1586D4—84no—
1587D4—88no—
1588D4—84no—
1589D4—88no—
1590D4—88no—
1591D4—164no—
1592D4—164no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—216no—
1614C2×C4—28no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—44no—
1670C2×C4—416no—
1671C2×C4—416no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—82no—
1677C2×C4—84no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—164no—
1682C2×C4—164no—
1683C2×C4—164no—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4114yes—
1687C2×C4C22×#4114yes—
1688C2×C4C22×#4114yes—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4112yes—
1692C2×C4C2×H(5,𝔽2)14yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+414yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4#58512yes—
1700C22—22no—
1701C22—24no—
1702C22—24no—
1703C22—22no—
1704C22—24no—
1705C22—22no—
1706C22—42no—
1707C22—41no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22—44no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—44no—
1720C22—44no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—44no—
1726C22—41no—
1727C22—42no—
1728C22—44no—
1729C22—44no—
1730C22—42no—
1731C22—41no—
1732C22—44no—
1733C22—42no—
1734C22—41no—
1735C22C23×#4111yescharacteristic
1736C22C23×#4111yescharacteristic
1737C22C22×H(5,𝔽2)11yescharacteristic
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C22×2−1+411yescharacteristic
1740C22C2×#58511yescharacteristic
1741C22H(7,𝔽2)11yescharacteristic
1742C4—22no—
1743C4—22no—
1744C4—24no—
1745C4—24no—
1746C4—24no—
1747C4—22no—
1748C4—22no—
1749C4—24no—
1750C4—22no—
1751C4—24no—
1752C4—42no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—44no—
1762C4—42no—
1763C4—44no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4#348114yes—
1771C4#351114yes—
1772C2—42no—
1773C2—44no—
1774C2—81no—
1775C2—82no—
1776C2—84no—
1777C2C2×#348111yescharacteristic
1778C2C2×#351111yescharacteristic
1779C2#6280011yescharacteristic
1780C2#6291611yescharacteristic
1781C2#6299911yescharacteristic
1782C2#6300811yescharacteristic
1783C2#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. #60029C2semidirect
2. #59702C2semidirect
3. #59696C2semidirect
4. #59676C2semidirect
5. #59657C2semidirect
6. #59641C2semidirect
7. #59322C2semidirect
8. #59214C2semidirect
9. #45258C2semidirect
10. #44920C2semidirect
11. #44815C2semidirect
12. #44320C2semidirect
13. #40366C2semidirect
14. #40179C2semidirect
15. #40050C2semidirect
16. #39560C2semidirect
17. #39341C2semidirect
18. #38909C2semidirect
19. #36590C2semidirect
20. #36496C2semidirect
21. #36471C2semidirect
22. #36411C2semidirect
23. #36302C2semidirect
24. #36273C2semidirect
25. #36261C2semidirect
26. #36182C2semidirect
27. #36087C2semidirect
28. #36000C2semidirect
29. #34893C2semidirect
30. #34889C2semidirect
31. #34267C2semidirect
32. #34242C2semidirect
33. #34207C2semidirect
34. C4×#556C2semidirect
35. C4×#550C2semidirect

Maximal subgroups

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

subgroupindex
#600292
#597022
#596962
#596762
#596572
#596412
#593222
#592142
#452582
#449202
#448152
#443202
#403662
#401792
#400502
#395602
#393412
#389092
#365902
#364962
#364712
#364112
#363022
#362732
#362612
#361822
#360872
#360002
#348932
#348892
#342672
#342422
#342072
C4×#5562
C4×#5502