Finite Group Databasebeta

← #7693288

Subgroups — #7693288

Order 512.

5071 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59767C212yesmaximal, complemented
2#59680C211yesmaximal, characteristic
3#59639C211yesmaximal, characteristic, complemented
4#59524C214yesmaximal, complemented
5#59437C211yesmaximal, characteristic, complemented
6#59426C212yesmaximal, complemented
7#59391C212yesmaximal, complemented
8#59121C212yesmaximal, complemented
9#45155C212yesmaximal, complemented
10#44970C212yesmaximal, complemented
11#44279C214yesmaximal, complemented
12#43295C214yesmaximal, complemented
13#40014C214yesmaximal, complemented
14#39765C212yesmaximal, complemented
15#39242C212yesmaximal, complemented
16#39238C212yesmaximal, complemented
17#39171C211yesmaximal, characteristic, complemented
18#39167C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36597C211yesmaximal, characteristic, complemented
21#36582C212yesmaximal, complemented
22#36469C212yesmaximal, complemented
23#36469C211yesmaximal, characteristic, complemented
24#36393C212yesmaximal, complemented
25#36313C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35970C212yesmaximal, complemented
28#35869C212yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34708C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34329C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#553C2212yes—
41C2×D4×Q8C2211yescharacteristic
42C2×#529C2212yes—
43C22×C4×Q8C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2854C2212yes—
50#2854C2214yes—
51#2850C2212yes—
52#2808C2214yes—
53#2808C2214yes—
54#2804C2214yes—
55#2798C2214yes—
56#2787C2214yes—
57#2786C2214yes—
58#2782C2214yes—
59#2781C2214yes—
60#2778C2214yes—
61#2778C2214yes—
62#2759C2214yes—
63#2759C2214yes—
64#2756C2214yes—
65#2750C2214yes—
66#2724C2214yes—
67#2723C2214yes—
68#2723C2214yes—
69#2714C2214yes—
70#2708C2214yes—
71#2696C2214yes—
72#2696C2214yes—
73#2653C2214yes—
74#2650C2214yes—
75#2640C2212yes—
76#2640C2212yes—
77#2602C2214yes—
78#2602C2214yes—
79#2602C2214yes—
80#2598C2214yes—
81#2597C2214yes—
82#2597C2214yes—
83#2596C2214yes—
84#2596C2214yes—
85#2595C2214yes—
86#2592C2212yes—
87#2592C2212yes—
88#2592C2212yes—
89#2592C2212yes—
90#2591C2214yes—
91#2585C2212yes—
92#2585C2212yes—
93#2582C2211yescharacteristic
94#2580C2212yes—
95#2579C2214yes—
96#2578C2214yes—
97#2577C2214yes—
98#2574C2214yes—
99#2572C2214yes—
100#2568C2211yescharacteristic
101#2568C2211yescharacteristic
102#2567C2212yes—
103#2563C2212yes—
104#2557C2214yes—
105#2557C2214yes—
106#2557C2214yes—
107#2554C2214yes—
108#2554C2214yes—
109#2552C2211yescharacteristic
110#2547C2212yes—
111#2547C2211yescharacteristic
112#2546C2211yescharacteristic
113#2546C2211yescharacteristic
114#2545C2212yes—
115#2544C2212yes—
116#2544C2212yes—
117#2544C2212yes—
118#2544C2212yes—
119#2542C2211yescharacteristic
120#2541C2211yescharacteristic
121#2541C2211yescharacteristic
122#2541C2212yes—
123#2535C2212yes—
124#2531C2214yes—
125#2530C2214yes—
126#2529C2214yes—
127#2528C2214yes—
128#2524C2214yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2510C2214yes—
140#2509C2211yescharacteristic
141#2509C2211yescharacteristic
142#2499C2212yes—
143#2496C2214yes—
144#2495C2212yes—
145#2494C2214yes—
146#2494C2212yes—
147#2492C2212yes—
148#2491C2214yes—
149#2491C2212yes—
150#2481C2214yes—
151#2478C2214yes—
152#2476C2214yes—
153#2471C2214yes—
154#2469C2214yes—
155#2469C2214yes—
156#2469C2214yes—
157#2468C2214yes—
158#2467C2214yes—
159#2458C2214yes—
160#2458C2214yes—
161#2458C2214yes—
162#2456C2214yes—
163#2453C2211yescharacteristic
164#2453C2211yescharacteristic
165#2453C2212yes—
166#2448C2212yes—
167#2448C2212yes—
168#2447C2212yes—
169#2447C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2445C2212yes—
174#2445C2212yes—
175#2443C2214yes—
176#2442C2212yes—
177#2439C2214yes—
178#2436C2212yes—
179#2436C2212yes—
180#2427C2212yes—
181#2427C2212yes—
182#2427C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2422C2212yes—
187#2422C2214yes—
188#2421C2212yes—
189#2419C2214yes—
190#2416C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2414C2212yes—
194#2409C2212yes—
195#2409C2212yes—
196#2402C2212yes—
197#2402C2212yes—
198#2398C2214yes—
199#2396C2214yes—
200#2374C2214yes—
201#2374C2212yes—
202#2374C2212yes—
203#2373C2214yes—
204#2372C2214yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2211yescharacteristic
214#2367C2211yescharacteristic
215#2366C2211yescharacteristic
216#2366C2212yes—
217#2366C2212yes—
218#2366C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2365C2212yes—
222#2365C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2360C2214yes—
228#2360C2212yes—
229#2359C2214yes—
230#2359C2214yes—
231#2357C2212yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2357C2212yes—
235#2356C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2353C2214yes—
245Q8×C4⋊C4C2211yescharacteristic
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249#2347C2214yes—
250#2346C2212yes—
251#2345C2212yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2334C2214yes—
257#2328C2212yes—
258#2326C2212yes—
259#2326C2212yes—
260#2326C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2214yes—
278C4×#123C2214yes—
279C4×#123C2212yes—
280C4×#123C2212yes—
281C4×#121C2214yes—
282C4×#121C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2212yes—
289#2290C2214yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C23×Q8C2312yes—
300#559—28no—
301#559—216no—
302#559—28no—
303#556—28no—
304#553—48no—
305D4×Q8—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—48no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×C4×Q8—48no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C42C2312yes—
400C22×C42C2312yes—
401C22×C42C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#381C2312yes—
715#381C2314yes—
716#381C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C22×Q8—28no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#127—24no—
857#127—28no—
858#127—24no—
859#127—44no—
860#126—216no—
861#126—48no—
862#126—48no—
863#125—24no—
864#125—24no—
865#124—28no—
866#124—28no—
867#124—24no—
868#124—28no—
869#124—216no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—24no—
874#124—44no—
875#124—44no—
876#124—44no—
877#123—216no—
878#123—28no—
879#123—216no—
880#123—216no—
881#123—28no—
882#123—48no—
883#123—48no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889#121—28no—
890#121—48no—
891#121—44no—
892#121—44no—
893#121—48no—
894#121—44no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—42no—
904C4×Q8—48no—
905C4×Q8—48no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8#4118yes—
913C4×D4—28no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4#4118yes—
935#117—28no—
936#117—48no—
937#117—48no—
938#117—44no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C42—44no—
1057C2×C42—48no—
1058C2×C42—44no—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2512yes—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—28no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—44no—
1197C2×Q8—41no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—432no—
1202C2×Q8C2×#4114yes—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4C2×#4114yes—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4C2×#4118yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—44no—
1355C4⋊C4—41no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4C2×#4114yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4118yes—
1366C4⋊C4H(5,𝔽2)14yes—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4C2×#4118yes—
1416C42—28no—
1417C42—24no—
1418C42—28no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—28no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—41no—
1446C42—42no—
1447C42—41no—
1448C42—41no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—41no—
1453C42—41no—
1454C42—42no—
1455C42—44no—
1456C42—42no—
1457C42—42no—
1458C42C2×#4118yes—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—24no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23C22×#4114yes—
1482C23C2611yescharacteristic
1483Q8—28no—
1484Q8—44no—
1485Q8—416no—
1486Q8—44no—
1487Q8—48no—
1488Q8—48no—
1489Q8—84no—
1490D4—28no—
1491D4—48no—
1492D4—44no—
1493D4—48no—
1494D4—48no—
1495D4—84no—
1496D4—88no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—164no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—48no—
1584C2×C4—416no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—84no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—164no—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×H(5,𝔽2)14yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C222−1+611yescharacteristic
1636C4—22no—
1637C4—24no—
1638C4—24no—
1639C4—22no—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—41no—
1652C4—44no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4#348014yes—
1667C4#350614yes—
1668C2—44no—
1669C2—84no—
1670C2—82no—
1671C2C2×#348011yescharacteristic
1672C2C2×#350611yescharacteristic
1673C2#6281611yescharacteristic
1674C2#6296811yescharacteristic
1675C2#6298411yescharacteristic
1676C2#6299511yescharacteristic
1677C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59680C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59767C2semidirect
3. #59639C2semidirect
4. #59524C2semidirect
5. #59437C2semidirect
6. #59426C2semidirect
7. #59391C2semidirect
8. #59121C2semidirect
9. #45155C2semidirect
10. #44970C2semidirect
11. #44279C2semidirect
12. #43295C2semidirect
13. #40014C2semidirect
14. #39765C2semidirect
15. #39242C2semidirect
16. #39238C2semidirect
17. #39171C2semidirect
18. #39167C2semidirect
19. #36609C2semidirect
20. #36597C2semidirect
21. #36582C2semidirect
22. #36469C2semidirect
23. #36469C2semidirect
24. #36393C2semidirect
25. #36313C2semidirect
26. #36115C2semidirect
27. #35970C2semidirect
28. #35869C2semidirect
29. #34951C2semidirect
30. #34708C2semidirect
31. #34331C2semidirect
32. #34329C2semidirect
33. #34324C2semidirect
34. C4×#559C2semidirect
35. C4×D4×Q8C2semidirect

Maximal subgroups

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

subgroupindex
#597672
#596802
#596392
#595242
#594372
#594262
#593912
#591212
#451552
#449702
#442792
#432952
#400142
#397652
#392422
#392382
#391712
#391672
#366092
#365972
#365822
#364692
#363932
#363132
#361152
#359702
#358692
#349512
#347082
#343312
#343292
#343242
C4×#5592
C4×D4×Q82