Finite Group Databasebeta

← #7680358

Subgroups — #7680358

Order 512.

4781 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59764C212yesmaximal, complemented
3#59719C212yesmaximal, complemented
4#59497C212yesmaximal, complemented
5#59483C212yesmaximal, complemented
6#59474C212yesmaximal, complemented
7#59457C212yesmaximal, complemented
8#59449C212yesmaximal, complemented
9#44434C214yesmaximal, complemented
10#44334C214yesmaximal, complemented
11#43300C214yesmaximal, complemented
12#43292C214yesmaximal, complemented
13#39273C212yesmaximal, complemented
14#39259C212yesmaximal, complemented
15#39183C211yesmaximal, characteristic, complemented
16#39168C211yesmaximal, characteristic, complemented
17#39157C211yesmaximal, characteristic, complemented
18#39156C212yesmaximal, complemented
19#39147C211yesmaximal, characteristic, complemented
20#39143C212yesmaximal, complemented
21#36493C211yesmaximal, characteristic
22#36477C211yesmaximal, characteristic, complemented
23#36463C211yesmaximal, characteristic, complemented
24#36456C211yesmaximal, characteristic, complemented
25#35638C212yesmaximal, complemented
26#35553C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35270C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34331C211yesmaximal, characteristic, complemented
33#34220C212yesmaximal, complemented
34#34123C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#529C2212yes—
40C2×C4×#41C2211yescharacteristic
41#2859C2211yescharacteristic
42#2858C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2855C2212yes—
47#2854C2212yes—
48#2850C2212yes—
49#2808C2214yes—
50#2802C2214yes—
51#2791C2214yes—
52#2783C2214yes—
53#2780C2214yes—
54#2780C2214yes—
55#2779C2214yes—
56#2779C2214yes—
57#2777C2214yes—
58#2777C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2765C2214yes—
62#2762C2214yes—
63#2757C2214yes—
64#2753C2214yes—
65#2752C2214yes—
66#2751C2214yes—
67#2740C2214yes—
68#2740C2214yes—
69#2701C2214yes—
70#2689C2214yes—
71#2674C2214yes—
72#2674C2214yes—
73#2647C2212yes—
74#2645C2212yes—
75#2644C2212yes—
76#2644C2212yes—
77#2640C2212yes—
78#2624C2212yes—
79#2611C2214yes—
80#2608C2214yes—
81#2603C2214yes—
82#2602C2214yes—
83#2601C2214yes—
84#2601C2214yes—
85#2596C2214yes—
86#2587C2214yes—
87#2580C2214yes—
88#2576C2214yes—
89#2575C2214yes—
90#2574C2214yes—
91#2571C2212yes—
92#2570C2212yes—
93#2570C2212yes—
94#2567C2211yescharacteristic
95#2566C2214yes—
96#2566C2212yes—
97#2566C2212yes—
98#2565C2212yes—
99#2563C2212yes—
100#2563C2211yescharacteristic
101#2560C2214yes—
102#2558C2214yes—
103#2557C2214yes—
104#2554C2214yes—
105#2554C2214yes—
106#2554C2214yes—
107#2552C2212yes—
108#2552C2212yes—
109#2552C2211yescharacteristic
110#2552C2211yescharacteristic
111#2548C2211yescharacteristic
112#2545C2212yes—
113#2542C2212yes—
114#2541C2211yescharacteristic
115#2540C2212yes—
116#2538C2214yes—
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2538C2211yescharacteristic
120#2535C2212yes—
121#2532C2214yes—
122#2530C2214yes—
123#2529C2214yes—
124#2527C2214yes—
125#2525C2214yes—
126#2519C2214yes—
127#2517C2214yes—
128#2517C2214yes—
129#2516C2214yes—
130#2515C2214yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2512C2214yes—
135#2512C2212yes—
136#2510C2214yes—
137#2509C2212yes—
138#2509C2212yes—
139#2508C2212yes—
140#2499C2214yes—
141#2497C2212yes—
142#2497C2212yes—
143#2496C2212yes—
144#2496C2212yes—
145#2494C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2489C2212yes—
151#2488C2214yes—
152#2488C2214yes—
153#2477C2214yes—
154#2471C2214yes—
155#2471C2214yes—
156#2470C2214yes—
157#2467C2214yes—
158#2459C2214yes—
159#2458C2214yes—
160#2456C2214yes—
161#2454C2212yes—
162#2454C2212yes—
163#2453C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2452C2214yes—
167#2452C2212yes—
168#2450C2214yes—
169#2450C2214yes—
170#2448C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2447C2212yes—
175#2445C2212yes—
176#2445C2212yes—
177#2439C2214yes—
178#2439C2212yes—
179#2431C2212yes—
180#2429C2212yes—
181#2427C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2423C2212yes—
186#2422C2212yes—
187#2422C2212yes—
188#2421C2214yes—
189#2420C2212yes—
190#2420C2212yes—
191#2419C2214yes—
192#2415C2214yes—
193#2396C2214yes—
194#2392C2214yes—
195#2373C2214yes—
196#2373C2214yes—
197#2370C2212yes—
198#2369C2212yes—
199#2369C2211yescharacteristic
200#2367C2212yes—
201#2367C2212yes—
202#2366C2211yescharacteristic
203#2366C2212yes—
204#2366C2212yes—
205#2365C2214yes—
206#2365C2212yes—
207#2363C2212yes—
208#2359C2214yes—
209#2359C2214yes—
210#2359C2214yes—
211#2357C2212yes—
212#2357C2212yes—
213#2356C2211yescharacteristic
214#2356C2211yescharacteristic
215#2355C2211yescharacteristic
216#2355C2211yescharacteristic
217#2355C2212yes—
218#2354C2212yes—
219#2353C2212yes—
220#2353C2214yes—
221#2353C2212yes—
222#2351C2212yes—
223#2351C2212yes—
224Q8×C4⋊C4C2211yescharacteristic
225Q8×C4⋊C4C2211yescharacteristic
226#2349C2212yes—
227#2349C2211yescharacteristic
228#2349C2214yes—
229#2349C2211yescharacteristic
230#2346C2211yescharacteristic
231#2346C2211yescharacteristic
232#2346C2214yes—
233#2343C2212yes—
234#2343C2212yes—
235#2343C2214yes—
236#2341C2212yes—
237#2339C2211yescharacteristic
238#2339C2211yescharacteristic
239#2336C2212yes—
240#2336C2212yes—
241#2335C2214yes—
242#2334C2212yes—
243#2334C2212yes—
244#2331C2214yes—
245#2331C2212yes—
246#2330C2212yes—
247#2330C2211yescharacteristic
248#2330C2212yes—
249#2327C2211yescharacteristic
250#2326C2212yes—
251#2326C2212yes—
252#2326C2212yes—
253#2324C2212yes—
254#2323C2211yescharacteristic
255#2323C2211yescharacteristic
256#2320C2211yescharacteristic
257#2320C2211yescharacteristic
258#2319C2212yes—
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2290C2212yes—
287#2290C2212yes—
288#2285C2212yes—
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2276C2212yes—
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300#559—28no—
301Q82—28no—
302#541—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310#529—216no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C4×#41—28no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2314yes—
383C2×#117C2314yes—
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388#401C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2314yes—
477#391C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2314yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2312yes—
684#383C2312yes—
685#383C2312yes—
686#383C2312yes—
687#383C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2314yes—
708#381C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2311yescharacteristic
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—216no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849#127—28no—
850#127—24no—
851#126—216no—
852#126—28no—
853#126—28no—
854#126—84no—
855#125—28no—
856#125—24no—
857#125—28no—
858#125—28no—
859#125—44no—
860#125—44no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—82no—
865#124—82no—
866#123—216no—
867#123—216no—
868#123—84no—
869#123—84no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—44no—
874C22⋊Q8—84no—
875C22⋊Q8—84no—
876C22⋊Q8—84no—
877C22⋊Q8—82no—
878#121—28no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—82no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—82no—
894C4×Q8—84no—
895C4×Q8#4118yes—
896C4×Q8#4118yescomplemented
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—82no—
913C4×D4—84no—
914C4×D4—84no—
915C4×D4—84no—
916#117—24no—
917#117—28no—
918#117—216no—
919#117—24no—
920#117—42no—
921#117—84no—
922#117—84no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C42—28no—
1039C2×C42—24no—
1040C2×C42—28no—
1041C2×C42—44no—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2511yescharacteristic
1165C24C2514yes—
1166C24C2512yes—
1167#41—416no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—28no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8C2×#4114yes—
1182C2×Q8C2×#4114yes—
1183C2×D4—28no—
1184C2×D4—24no—
1185C2×D4—28no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D42−1+414yes—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4C2×#4114yes—
1344C4⋊C4C2×#4118yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—24no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—44no—
1421C42—41no—
1422C42—42no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—42no—
1427C42—44no—
1428C42—42no—
1429C42—41no—
1430C42—42no—
1431C42—41no—
1432C42—41no—
1433C42C2×#4114yes—
1434C42C2×#4118yes—
1435C42C2×#4114yes—
1436C42C2×#4118yes—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—24no—
1445C23—24no—
1446C23—21no—
1447C23—21no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—24no—
1456C23—21no—
1457C23C2×2−1+414yes—
1458C23C2611yescharacteristic
1459Q8—28no—
1460Q8—28no—
1461Q8—44no—
1462Q8—88no—
1463Q8—84no—
1464D4—28no—
1465D4—416no—
1466D4—48no—
1467D4—48no—
1468D4—48no—
1469D4—84no—
1470D4—88no—
1471D4—164no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—82no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—164no—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4114yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—44no—
1589C22—41no—
1590C22—44no—
1591C22—41no—
1592C22—41no—
1593C22—44no—
1594C22—44no—
1595C22—41no—
1596C22—44no—
1597C22—41no—
1598C22—44no—
1599C22—41no—
1600C22—41no—
1601C22—44no—
1602C22C23×#4111yescharacteristic
1603C22C23×#4111yescharacteristic
1604C22C22×2−1+411yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C22H(7,𝔽2)11yescharacteristic
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—24no—
1613C4—24no—
1614C4—22no—
1615C4—24no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—41no—
1623C4—42no—
1624C4—41no—
1625C4—44no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4#348014yes—
1640C4#349514yes—
1641C2—44no—
1642C2—84no—
1643C2—81no—
1644C2C2×#348011yescharacteristic
1645C2C2×#349511yescharacteristic
1646C2#6285811yescharacteristic
1647C2#6295111yescharacteristic
1648C2#6296611yescharacteristic
1649C2#6300011yescharacteristic
1650C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36493C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59764C2semidirect
3. #59719C2semidirect
4. #59497C2semidirect
5. #59483C2semidirect
6. #59474C2semidirect
7. #59457C2semidirect
8. #59449C2semidirect
9. #44434C2semidirect
10. #44334C2semidirect
11. #43300C2semidirect
12. #43292C2semidirect
13. #39273C2semidirect
14. #39259C2semidirect
15. #39183C2semidirect
16. #39168C2semidirect
17. #39157C2semidirect
18. #39156C2semidirect
19. #39147C2semidirect
20. #39143C2semidirect
22. #36477C2semidirect
23. #36463C2semidirect
24. #36456C2semidirect
25. #35638C2semidirect
26. #35553C2semidirect
27. #35288C2semidirect
28. #35270C2semidirect
29. #34941C2semidirect
30. #34934C2semidirect
31. #34335C2semidirect
32. #34331C2semidirect
33. #34220C2semidirect
34. #34123C2semidirect
35. C4×#541C2semidirect
896. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598932
#597642
#597192
#594972
#594832
#594742
#594572
#594492
#444342
#443342
#433002
#432922
#392732
#392592
#391832
#391682
#391572
#391562
#391472
#391432
#364932
#364772
#364632
#364562
#356382
#355532
#352882
#352702
#349412
#349342
#343352
#343312
#342202
#341232
C4×#5412