Finite Group Databasebeta

← #7806382

Subgroups — #7806382

Order 512.

4739 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59817C211yesmaximal, characteristic, complemented
3#59719C212yesmaximal, complemented
4#59669C212yesmaximal, complemented
5#59651C212yesmaximal, complemented
6#59497C212yesmaximal, complemented
7#59467C211yesmaximal, characteristic, complemented
8#59445C211yesmaximal, characteristic, complemented
9#59442C211yesmaximal, characteristic, complemented
10#59383C212yesmaximal, complemented
11#59271C212yesmaximal, complemented
12#59258C211yesmaximal, characteristic, complemented
13#59243C211yesmaximal, characteristic, complemented
14#59218C212yesmaximal, complemented
15#59036C211yesmaximal, characteristic, complemented
16#59036C211yesmaximal, characteristic, complemented
17#47330C214yesmaximal, complemented
18#46702C214yesmaximal, complemented
19#42865C212yesmaximal, complemented
20#42852C212yesmaximal, complemented
21#42597C212yesmaximal, complemented
22#42569C212yesmaximal, complemented
23#42378C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#35991C214yesmaximal, complemented
26#35963C212yesmaximal, complemented
27#35890C212yesmaximal
28#35832C212yesmaximal, complemented
29#35723C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic
32#34941C211yesmaximal, characteristic, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34311C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×#533C2211yescharacteristic
41C2×#519C2212yes—
42#2836C2214yes—
43#2831C2214yes—
44#2831C2214yes—
45#2808C2214yes—
46#2791C2214yes—
47#2786C2214yes—
48#2783C2214yes—
49#2783C2214yes—
50#2783C2214yes—
51#2781C2214yes—
52#2779C2214yes—
53#2774C2214yes—
54#2774C2214yes—
55#2765C2214yes—
56#2762C2214yes—
57#2762C2214yes—
58#2754C2214yes—
59#2751C2214yes—
60#2747C2214yes—
61#2726C2214yes—
62#2716C2214yes—
63#2695C2214yes—
64#2694C2214yes—
65#2692C2214yes—
66#2692C2214yes—
67#2690C2214yes—
68#2683C2214yes—
69#2667C2214yes—
70#2655C2214yes—
71#2650C2214yes—
72#2648C2214yes—
73#2647C2212yes—
74#2644C2212yes—
75#2637C2214yes—
76#2637C2214yes—
77#2629C2212yes—
78#2625C2212yes—
79#2625C2214yes—
80#2609C2214yes—
81#2601C2214yes—
82#2601C2214yes—
83#2601C2214yes—
84#2594C2214yes—
85#2590C2214yes—
86#2589C2214yes—
87#2588C2214yes—
88#2587C2214yes—
89#2578C2214yes—
90#2574C2214yes—
91#2570C2212yes—
92#2570C2212yes—
93#2569C2214yes—
94#2567C2211yescharacteristic
95#2567C2211yescharacteristic
96#2565C2212yes—
97#2563C2211yescharacteristic
98#2563C2211yescharacteristic
99#2562C2212yes—
100#2560C2214yes—
101#2558C2214yes—
102#2553C2214yes—
103#2552C2211yescharacteristic
104#2552C2212yes—
105#2552C2212yes—
106#2552C2211yescharacteristic
107#2551C2212yes—
108#2550C2214yes—
109#2550C2212yes—
110#2550C2212yes—
111#2538C2211yescharacteristic
112#2538C2212yes—
113#2538C2212yes—
114#2538C2212yes—
115#2538C2211yescharacteristic
116#2533C2212yes—
117#2532C2214yes—
118#2531C2212yes—
119#2528C2212yes—
120#2527C2214yes—
121#2526C2212yes—
122#2520C2214yes—
123#2514C2211yescharacteristic
124#2513C2212yes—
125#2513C2212yes—
126#2513C2211yescharacteristic
127#2512C2212yes—
128#2512C2214yes—
129#2511C2212yes—
130#2510C2214yes—
131#2509C2212yes—
132#2508C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2507C2211yescharacteristic
136#2507C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2506C2211yescharacteristic
140#2499C2214yes—
141#2499C2212yes—
142#2498C2214yes—
143#2497C2214yes—
144#2497C2212yes—
145#2497C2211yescharacteristic
146#2496C2212yes—
147#2496C2212yes—
148#2496C2211yescharacteristic
149#2494C2212yes—
150#2494C2212yes—
151#2490C2212yes—
152#2490C2214yes—
153#2490C2211yescharacteristic
154#2489C2212yes—
155#2489C2211yescharacteristic
156#2488C2214yes—
157#2486C2212yes—
158#2485C2212yes—
159#2485C2214yes—
160#2485C2212yes—
161#2478C2212yes—
162#2476C2212yes—
163#2475C2214yes—
164#2475C2212yes—
165#2475C2214yes—
166#2471C2214yes—
167#2471C2212yes—
168#2465C2214yes—
169#2465C2214yes—
170#2462C2214yes—
171#2462C2214yes—
172#2458C2214yes—
173#2458C2214yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2211yescharacteristic
178#2453C2212yes—
179#2453C2212yes—
180#2453C2211yescharacteristic
181#2452C2212yes—
182#2452C2212yes—
183#2452C2214yes—
184#2446C2212yes—
185#2446C2214yes—
186#2446C2214yes—
187#2446C2211yescharacteristic
188#2445C2212yes—
189#2445C2211yescharacteristic
190#2442C2212yes—
191#2439C2212yes—
192#2439C2212yes—
193#2438C2214yes—
194#2429C2211yescharacteristic
195#2428C2211yescharacteristic
196#2425C2214yes—
197#2423C2212yes—
198#2423C2212yes—
199#2423C2214yes—
200#2423C2212yes—
201#2422C2212yes—
202#2421C2214yes—
203#2421C2212yes—
204#2421C2211yescharacteristic
205#2420C2211yescharacteristic
206#2415C2212yes—
207#2409C2212yes—
208#2409C2212yes—
209#2409C2212yes—
210#2409C2212yes—
211#2402C2212yes—
212#2401C2212yes—
213#2396C2214yes—
214#2396C2214yes—
215#2395C2214yes—
216#2395C2212yes—
217#2392C2212yes—
218#2373C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2212yes—
226#2368C2214yes—
227#2366C2212yes—
228#2365C2211yescharacteristic
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2363C2212yes—
232#2363C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2214yes—
236#2362C2212yes—
237#2360C2212yes—
238#2359C2214yes—
239#2357C2212yes—
240#2356C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2352C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253#2347C2212yes—
254#2346C2212yes—
255#2343C2214yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2331C2212yes—
261#2329C2214yes—
262#2323C2212yes—
263#2323C2214yes—
264#2323C2212yes—
265#2323C2212yes—
266#2320C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#126C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2295C2211yescharacteristic
288C2×#391C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2212yes—
292#2285C2212yes—
293#2285C2211yescharacteristic
294#2276C2212yes—
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301#552—48no—
302D4×Q8—28no—
303D4×Q8—28no—
304D4×Q8—48no—
305#533—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342#519—48no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383#401C2314yes—
384#401C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2314yes—
700#384C2312yes—
701#383C2312yes—
702#383C2314yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#381C2312yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2311yescharacteristic
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C22×Q8—28no—
817C22×Q8—28no—
818C22×Q8—28no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—48no—
849C4⋊Q8#4118yes—
850#127—24no—
851#126—44no—
852#126—48no—
853#126—48no—
854#125—28no—
855#125—28no—
856#125—24no—
857#125—42no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—48no—
862#123—48no—
863#123—44no—
864#123—48no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—42no—
876C22⋊Q8—44no—
877#121—24no—
878#121—24no—
879#121—44no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—48no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907#117—28no—
908#117—48no—
909#117—48no—
910#117—44no—
911#117—42no—
912#117—42no—
913#117—48no—
914#117—44no—
915#117—48no—
916#117—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C42—24no—
1041C2×C42—44no—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C24C2512yes—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—28no—
1168C2×Q8—28no—
1169C2×Q8—24no—
1170C2×Q8—28no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—432no—
1181C2×Q8—816no—
1182C2×Q8C2×#4118yes—
1183C2×Q8H(5,𝔽2)14yes—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D42−1+414yes—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—42no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—44no—
1305C4⋊C4—41no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—41no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4C2×#4118yes—
1341C4⋊C4C2×#4118yes—
1342C4⋊C42−1+414yes—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—41no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—41no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—28no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—22no—
1394C42—28no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—28no—
1409C42—22no—
1410C42—42no—
1411C42—42no—
1412C42—41no—
1413C42—41no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42C2×#4114yes—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—21no—
1444C23—22no—
1445C23C2×2−1+414yes—
1446C23C2611yescharacteristic
1447Q8—28no—
1448Q8—216no—
1449Q8—416no—
1450Q8—48no—
1451Q8—44no—
1452Q8—88no—
1453D4—28no—
1454D4—48no—
1455D4—44no—
1456D4—84no—
1457D4—84no—
1458D4—84no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—24no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—416no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—48no—
1549C2×C4—44no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4118yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C2×H(5,𝔽2)14yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×2−1+414yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22C23×#4111yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×2−1+411yescharacteristic
1589C22C22×2−1+411yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C4—22no—
1594C4—22no—
1595C4—24no—
1596C4—24no—
1597C4—28no—
1598C4—22no—
1599C4—41no—
1600C4—44no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4—41no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—44no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—44no—
1623C4#351314yes—
1624C4#352314yes—
1625C2—44no—
1626C2—82no—
1627C2—81no—
1628C2C2×#351311yescharacteristic
1629C2C2×#352311yescharacteristic
1630C2#6279311yescharacteristic
1631C2#6301511yescharacteristic
1632C2#6302311yescharacteristic
1633C2#6302511yescharacteristic
1634C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59817C2semidirect
3. #59719C2semidirect
4. #59669C2semidirect
5. #59651C2semidirect
6. #59497C2semidirect
7. #59467C2semidirect
8. #59445C2semidirect
9. #59442C2semidirect
10. #59383C2semidirect
11. #59271C2semidirect
12. #59258C2semidirect
13. #59243C2semidirect
14. #59218C2semidirect
15. #59036C2semidirect
16. #59036C2semidirect
17. #47330C2semidirect
18. #46702C2semidirect
19. #42865C2semidirect
20. #42852C2semidirect
21. #42597C2semidirect
22. #42569C2semidirect
23. #42378C2semidirect
24. #37637C2semidirect
25. #35991C2semidirect
26. #35963C2semidirect
28. #35832C2semidirect
29. #35723C2semidirect
30. #34975C2semidirect
32. #34941C2semidirect
33. #34334C2semidirect
34. #34311C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#599622
#598172
#597192
#596692
#596512
#594972
#594672
#594452
#594422
#593832
#592712
#592582
#592432
#592182
#590362
#473302
#467022
#428652
#428522
#425972
#425692
#423782
#376372
#359912
#359632
#358902
#358322
#357232
#349752
#349702
#349412
#343342
#343112
#342252