Finite Group Databasebeta

← #7671743

Subgroups — #7671743

Order 512.

5058 conjugacy classes of subgroups.

The subgroup lattice has 1859 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C212yesmaximal, complemented
2#59944C212yesmaximal, complemented
3#59921C212yesmaximal, complemented
4#59858C212yesmaximal, complemented
5#59719C212yesmaximal, complemented
6#59509C212yesmaximal, complemented
7#59399C212yesmaximal, complemented
8#59380C212yesmaximal, complemented
9#40131C212yesmaximal, complemented
10#40130C212yesmaximal, complemented
11#40119C212yesmaximal, complemented
12#40118C212yesmaximal, complemented
13#39131C212yesmaximal, complemented
14#38937C212yesmaximal, complemented
15#38291C212yesmaximal, complemented
16#38289C212yesmaximal, complemented
17#36631C211yesmaximal, characteristic, complemented
18#36594C211yesmaximal, characteristic, complemented
19#36563C211yesmaximal, characteristic, complemented
20#36461C212yesmaximal, complemented
21#36458C212yesmaximal, complemented
22#36414C212yesmaximal, complemented
23#36413C212yesmaximal, complemented
24#36211C211yesmaximal, characteristic, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36194C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#36134C211yesmaximal, characteristic, complemented
30#35638C212yesmaximal, complemented
31#35636C212yesmaximal, complemented
32#35319C211yesmaximal, characteristic, complemented
33#35277C211yesmaximal, characteristic, complemented
34#35220C212yesmaximal, complemented
35#34326C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic, complemented
37#34225C211yesmaximal, characteristic, complemented
38C4×#533C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#542C2212yes—
42C2×#541C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#529C2212yes—
48#2868C2211yescharacteristic
49#2868C2211yescharacteristic
50#2861C2212yes—
51#2861C2214yes—
52#2860C2212yes—
53#2860C2212yes—
54#2860C2214yes—
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2858C2211yescharacteristic
58#2858C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2856C2211yescharacteristic
64#2856C2211yescharacteristic
65#2854C2212yes—
66#2854C2212yes—
67#2850C2212yes—
68#2808C2214yes—
69#2795C2214yes—
70#2784C2214yes—
71#2783C2214yes—
72#2783C2214yes—
73#2781C2214yes—
74#2781C2214yes—
75#2775C2214yes—
76#2744C2214yes—
77#2744C2214yes—
78#2744C2214yes—
79#2737C2214yes—
80#2732C2214yes—
81#2730C2214yes—
82#2721C2214yes—
83#2714C2214yes—
84#2664C2214yes—
85#2662C2214yes—
86#2642C2212yes—
87#2640C2212yes—
88#2621C2212yes—
89#2620C2212yes—
90#2611C2214yes—
91#2603C2214yes—
92#2602C2214yes—
93#2601C2214yes—
94#2593C2214yes—
95#2582C2212yes—
96#2574C2214yes—
97#2572C2214yes—
98#2571C2212yes—
99#2567C2212yes—
100#2566C2214yes—
101#2564C2214yes—
102#2563C2212yes—
103#2560C2214yes—
104#2558C2214yes—
105#2558C2214yes—
106#2557C2214yes—
107#2556C2214yes—
108#2554C2214yes—
109#2554C2214yes—
110#2554C2214yes—
111#2553C2214yes—
112#2552C2212yes—
113#2552C2212yes—
114#2550C2212yes—
115#2550C2212yes—
116#2547C2212yes—
117#2545C2212yes—
118#2545C2212yes—
119#2542C2212yes—
120#2540C2212yes—
121#2540C2212yes—
122#2538C2212yes—
123#2538C2212yes—
124#2538C2212yes—
125#2538C2212yes—
126#2536C2212yes—
127#2535C2212yes—
128#2532C2214yes—
129#2532C2214yes—
130#2531C2214yes—
131#2529C2214yes—
132#2526C2214yes—
133#2526C2214yes—
134#2521C2214yes—
135#2519C2214yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2214yes—
139#2512C2212yes—
140#2512C2214yes—
141#2512C2212yes—
142#2512C2212yes—
143#2512C2214yes—
144#2512C2212yes—
145#2512C2212yes—
146#2512C2212yes—
147#2508C2212yes—
148#2508C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2506C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2499C2214yes—
156#2498C2214yes—
157#2497C2212yes—
158#2497C2214yes—
159#2497C2212yes—
160#2496C2212yes—
161#2496C2214yes—
162#2496C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2495C2214yes—
166#2495C2212yes—
167#2495C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2490C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2479C2214yes—
181#2471C2214yes—
182#2454C2212yes—
183#2454C2212yes—
184#2452C2212yes—
185#2452C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2448C2212yes—
189#2448C2212yes—
190#2441C2212yes—
191#2441C2212yes—
192#2439C2212yes—
193#2439C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2426C2212yes—
199#2426C2212yes—
200#2426C2212yes—
201#2426C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2422C2212yes—
205#2422C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2414C2212yes—
209#2414C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2407C2212yes—
213#2407C2212yes—
214#2373C2214yes—
215#2373C2214yes—
216#2370C2212yes—
217#2370C2212yes—
218#2369C2212yes—
219#2369C2212yes—
220#2368C2214yes—
221#2367C2212yes—
222#2367C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2365C2212yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2363C2212yes—
230#2363C2212yes—
231#2363C2212yes—
232#2362C2212yes—
233#2362C2212yes—
234#2357C2212yes—
235#2357C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2212yes—
243#2354C2212yes—
244#2351C2212yes—
245Q8×C4⋊C4C2212yes—
246Q8×C4⋊C4C2212yes—
247#2349C2212yes—
248#2347C2212yes—
249#2346C2212yes—
250#2346C2212yes—
251#2346C2212yes—
252#2343C2214yes—
253#2341C2212yes—
254#2341C2212yes—
255#2341C2212yes—
256#2339C2212yes—
257#2334C2214yes—
258#2332C2214yes—
259#2327C2212yes—
260#2326C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266#2319C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#126C2214yes—
282C4×#126C2211yescharacteristic
283C4×#126C2211yescharacteristic
284C4×#126C2211yescharacteristic
285C4×#126C2211yescharacteristic
286C4×#124C2212yes—
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2212yes—
292C4×C22⋊Q8C2212yes—
293C4×C22⋊Q8C2212yes—
294C4×C22⋊Q8C2211yescharacteristic
295C4×#123C2211yescharacteristic
296C4×#123C2211yescharacteristic
297C4×#123C2211yescharacteristic
298C4×#123C2211yescharacteristic
299C4×#121C2212yes—
300C4×#121C2212yes—
301C4×#121C2211yescharacteristic
302C4×#121C2211yescharacteristic
303#2298C2214yes—
304#2298C2211yescharacteristic
305#2298C2211yescharacteristic
306#2296C2212yes—
307#2295C2211yescharacteristic
308#2295C2212yes—
309#2295C2212yes—
310#2293C2212yes—
311#2293C2212yes—
312#2293C2211yescharacteristic
313#2290C2211yescharacteristic
314#2290C2211yescharacteristic
315#2285C2211yescharacteristic
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2283C2211yescharacteristic
319#2276C2212yes—
320#2275C2212yes—
321C42×Q8C2212yes—
322C42×Q8C2212yes—
323C42×Q8C2211yescharacteristic
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C4×#117C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332#556—216no—
333#542—48no—
334#541—48no—
335#533—28no—
336#533—28no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347#529—28no—
348#529—48no—
349C2×#126C2311yescharacteristic
350C2×#126C2311yescharacteristic
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#123C2311yescharacteristic
372C2×#123C2311yescharacteristic
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2314yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2314yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#388C2311yescharacteristic
611#388C2314yes—
612#388C2311yescharacteristic
613#388C2314yes—
614#388C2311yescharacteristic
615#388C2311yescharacteristic
616#388C2311yescharacteristic
617#388C2314yes—
618#388C2311yescharacteristic
619#388C2311yescharacteristic
620#388C2311yescharacteristic
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2311yescharacteristic
663#388C2311yescharacteristic
664#388C2311yescharacteristic
665#388C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2311yescharacteristic
668#387C2311yescharacteristic
669#387C2311yescharacteristic
670#387C2311yescharacteristic
671#387C2311yescharacteristic
672#387C2314yes—
673#387C2311yescharacteristic
674#387C2314yes—
675#387C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2311yescharacteristic
678#387C2311yescharacteristic
679#387C2311yescharacteristic
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2311yescharacteristic
685#387C2314yes—
686#387C2311yescharacteristic
687#387C2311yescharacteristic
688#387C2311yescharacteristic
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2311yescharacteristic
709#386C2311yescharacteristic
710#386C2314yes—
711#386C2314yes—
712#386C2311yescharacteristic
713#386C2311yescharacteristic
714#385C2311yescharacteristic
715#385C2314yes—
716#385C2311yescharacteristic
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2311yescharacteristic
725#385C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2314yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2314yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#383C2311yescharacteristic
740#383C2311yescharacteristic
741#383C2314yes—
742#383C2314yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2314yes—
747#382C2314yes—
748#382C2312yes—
749#382C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#381C2311yescharacteristic
755#381C2314yes—
756#381C2314yes—
757#381C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2314yes—
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2314yes—
875#376C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2314yes—
880#376C2314yes—
881#376C2314yes—
882C2×#95C2314yes—
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2314yes—
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—28no—
895C2×#41—44no—
896C2×#41—44no—
897C22×Q8C2412yes—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2414yes—
901C22×Q8C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—44no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8#4118yes—
935#127—24no—
936#126—24no—
937#126—24no—
938#126—216no—
939#126—216no—
940#126—48no—
941#126—48no—
942#126—48no—
943#126—48no—
944#125—24no—
945#125—28no—
946#125—28no—
947#125—44no—
948#125—44no—
949#125—48no—
950#125—48no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—48no—
956#124—44no—
957#124—44no—
958#123—24no—
959#123—24no—
960#123—48no—
961#123—48no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—48no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973#121—28no—
974#121—24no—
975#121—28no—
976#121—28no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—42no—
991C4×Q8—42no—
992C4×Q8—44no—
993C4×Q8—44no—
994C4×Q8—44no—
995C4×Q8—44no—
996C4×Q8#4118yescomplemented
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—48no—
1015#117—28no—
1016#117—28no—
1017#117—216no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—48no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C42—24no—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—42no—
1161C2×C42—42no—
1162C2×C42—42no—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2414yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2414yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2414yes—
1280#95C2414yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296C24C2514yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2511yescharacteristic
1300#41—816no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—41no—
1310C2×Q8—41no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8C2×#4118yes—
1315C2×Q8C2×#4114yes—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—28no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C42−1+414yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2514yes—
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2514yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2514yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—41no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4C2×#4114yes—
1493C4⋊C4C2×#4118yes—
1494C4⋊C4C2×#4118yes—
1495C4⋊C4C2×#4114yes—
1496C4⋊C4C2×#4114yes—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—28no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—28no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—28no—
1567C42—28no—
1568C42—28no—
1569C42—28no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—28no—
1576C42—28no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—41no—
1596C42—41no—
1597C42—41no—
1598C42—41no—
1599C42—41no—
1600C42—41no—
1601C42—44no—
1602C42—44no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42C2×#4114yes—
1609C42C2×#4114yes—
1610C42C2×#4114yes—
1611C42C2×#4114yes—
1612C42H(5,𝔽2)14yes—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—24no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—24no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—24no—
1628C23—21no—
1629C23—21no—
1630C23—24no—
1631C23—21no—
1632C23—21no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23C2×2−1+412yes—
1641C23C2611yescharacteristic
1642Q8—216no—
1643Q8—44no—
1644Q8—48no—
1645Q8—48no—
1646Q8—164no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—48no—
1651D4—48no—
1652D4—48no—
1653D4—88no—
1654D4—88no—
1655D4—164no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—28no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—88no—
1756C2×C4—88no—
1757C2×C4—88no—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4118yes—
1761C2×C4C22×#4112yes—
1762C2×C4C22×#4112yes—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×2−1+412yes—
1773C2×C4C2×2−1+412yes—
1774C2×C4#58512yes—
1775C2×C4#58512yes—
1776C2×C4#58512yes—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—44no—
1790C22—41no—
1791C22—41no—
1792C22—44no—
1793C22—44no—
1794C22—41no—
1795C22—41no—
1796C22—44no—
1797C22—41no—
1798C22—41no—
1799C22—44no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—44no—
1805C22C23×#4111yescharacteristic
1806C22C23×#4111yescharacteristic
1807C22C22×H(5,𝔽2)11yescharacteristic
1808C22C22×2−1+411yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22C2×#58511yescharacteristic
1812C4—28no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—44no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—44no—
1834C4—41no—
1835C4—41no—
1836C4—44no—
1837C4—44no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—44no—
1843C4—44no—
1844C4#348314yes—
1845C4#351614yes—
1846C4#352114yes—
1847C2—42no—
1848C2—81no—
1849C2—81no—
1850C2—84no—
1851C2C2×#348311yescharacteristic
1852C2C2×#352111yescharacteristic
1853C2C2×#351611yescharacteristic
1854C2#6280511yescharacteristic
1855C2#6281511yescharacteristic
1856C2#6283511yescharacteristic
1857C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59961C2semidirect
2. #59944C2semidirect
3. #59921C2semidirect
4. #59858C2semidirect
5. #59719C2semidirect
6. #59509C2semidirect
7. #59399C2semidirect
8. #59380C2semidirect
9. #40131C2semidirect
10. #40130C2semidirect
11. #40119C2semidirect
12. #40118C2semidirect
13. #39131C2semidirect
14. #38937C2semidirect
15. #38291C2semidirect
16. #38289C2semidirect
17. #36631C2semidirect
18. #36594C2semidirect
19. #36563C2semidirect
20. #36461C2semidirect
21. #36458C2semidirect
22. #36414C2semidirect
23. #36413C2semidirect
24. #36211C2semidirect
25. #36209C2semidirect
26. #36194C2semidirect
27. #36150C2semidirect
28. #36150C2semidirect
29. #36134C2semidirect
30. #35638C2semidirect
31. #35636C2semidirect
32. #35319C2semidirect
33. #35277C2semidirect
34. #35220C2semidirect
35. #34326C2semidirect
36. #34226C2semidirect
37. #34225C2semidirect
38. C4×#533C2semidirect
39. C4×#529C2semidirect
996. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599612
#599442
#599212
#598582
#597192
#595092
#593992
#593802
#401312
#401302
#401192
#401182
#391312
#389372
#382912
#382892
#366312
#365942
#365632
#364612
#364582
#364142
#364132
#362112
#362092
#361942
#361502
#361342
#356382
#356362
#353192
#352772
#352202
#343262
#342262
#342252
C4×#5332
C4×#5292