Finite Group Databasebeta

← #7968140

Subgroups — #7968140

Order 512.

4918 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59855C212yesmaximal, complemented
2#59659C211yesmaximal, characteristic, complemented
3#59302C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59204C212yesmaximal, complemented
6#49482C214yesmaximal, complemented
7#48590C214yesmaximal, complemented
8#46083C212yesmaximal, complemented
9#45702C212yesmaximal, complemented
10#45314C212yesmaximal, complemented
11#45262C212yesmaximal, complemented
12#43940C214yesmaximal, complemented
13#42896C212yesmaximal, complemented
14#42894C212yesmaximal, complemented
15#40561C214yesmaximal, complemented
16#40131C212yesmaximal, complemented
17#40035C212yesmaximal, complemented
18#39723C212yesmaximal, complemented
19#39503C212yesmaximal, complemented
20#39194C211yesmaximal, characteristic, complemented
21#39125C211yesmaximal, characteristic, complemented
22#37852C212yesmaximal, complemented
23#36590C211yesmaximal, characteristic, complemented
24Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
25#36411C211yesmaximal, characteristic, complemented
26#36387C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36160C211yesmaximal, characteristic, complemented
29#35189C211yesmaximal, characteristic, complemented
30#35185C211yesmaximal, characteristic, complemented
31#35025C212yesmaximal, complemented
32C2×#2538C211yesmaximal, characteristic, complemented
33#34700C211yesmaximal, characteristic, complemented
34#34370C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C22×C22⋊Q8C2212yes—
41C2×C4×#41C2211yescharacteristic, complemented
42C22×C4×Q8C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2864C2212yescomplemented
45#2861C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic, complemented
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2854C2212yes—
52#2851C2212yescomplemented
53#2850C2212yes—
54#2847C2212yes—
55#2838C2214yescomplemented
56#2829C2214yescomplemented
57#2808C2214yes—
58#2803C2214yes—
59#2803C2214yes—
60#2801C2214yescomplemented
61#2800C2214yescomplemented
62#2800C2214yescomplemented
63#2800C2214yescomplemented
64#2800C2214yescomplemented
65#2795C2214yescomplemented
66#2793C2214yescomplemented
67#2793C2214yescomplemented
68#2786C2214yescomplemented
69#2783C2214yescomplemented
70#2779C2214yescomplemented
71#2776C2214yescomplemented
72#2775C2214yescomplemented
73#2757C2214yescomplemented
74#2746C2214yescomplemented
75#2745C2214yescomplemented
76#2741C2214yescomplemented
77#2740C2214yescomplemented
78#2737C2214yescomplemented
79#2733C2214yes—
80#2731C2214yescomplemented
81#2730C2214yescomplemented
82#2730C2214yescomplemented
83#2728C2214yescomplemented
84#2728C2214yescomplemented
85#2718C2214yescomplemented
86#2717C2214yescomplemented
87#2716C2214yescomplemented
88#2715C2214yescomplemented
89#2674C2214yescomplemented
90#2662C2214yescomplemented
91#2654C2214yescomplemented
92#2651C2214yes—
93#2650C2214yescomplemented
94#2648C2214yes—
95#2630C2214yescomplemented
96#2628C2212yescomplemented
97#2624C2212yescomplemented
98#2617C2214yes—
99#2601C2214yescomplemented
100#2594C2214yescomplemented
101#2594C2214yescomplemented
102#2594C2214yescomplemented
103#2593C2214yes—
104#2591C2214yes—
105#2590C2214yescomplemented
106#2589C2214yescomplemented
107#2588C2214yescomplemented
108#2587C2214yescomplemented
109#2582C2212yescomplemented
110#2582C2211yescharacteristic, complemented
111#2579C2214yes—
112#2577C2214yescomplemented
113#2571C2211yescharacteristic, complemented
114#2570C2212yescomplemented
115#2570C2212yescomplemented
116#2570C2212yescomplemented
117#2567C2211yescharacteristic, complemented
118#2567C2212yescomplemented
119#2564C2214yes—
120#2563C2211yescharacteristic
121#2554C2214yes—
122#2550C2212yescomplemented
123#2547C2212yescomplemented
124#2545C2214yescomplemented
125#2538C2212yes—
126#2538C2212yes—
127#2538C2211yescharacteristic
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic
130#2538C2214yes—
131#2538C2212yes—
132#2538C2211yescharacteristic
133#2538C2212yes—
134#2538C2211yescharacteristic, complemented
135#2537C2211yescharacteristic
136#2536C2212yescomplemented
137#2536C2212yescomplemented
138#2525C2214yescomplemented
139#2525C2214yescomplemented
140#2525C2214yescomplemented
141#2521C2214yescomplemented
142#2514C2212yescomplemented
143#2513C2212yes—
144#2513C2212yes—
145#2513C2212yes—
146#2512C2212yescomplemented
147#2512C2214yescomplemented
148#2511C2212yescomplemented
149#2510C2214yes—
150#2510C2214yes—
151#2509C2212yescomplemented
152#2507C2212yescomplemented
153#2504C2212yes—
154#2500C2212yes—
155#2500C2212yes—
156#2499C2212yescomplemented
157#2497C2212yescomplemented
158#2496C2212yescomplemented
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2494C2212yescomplemented
163#2494C2212yescomplemented
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yescomplemented
167#2490C2212yes—
168#2487C2212yes—
169#2485C2212yes—
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2481C2214yes—
174#2480C2214yes—
175#2480C2212yes—
176#2474C2214yescomplemented
177#2472C2214yes—
178#2472C2214yes—
179#2472C2214yes—
180#2469C2214yescomplemented
181#2468C2212yes—
182#2461C2214yescomplemented
183#2459C2214yes—
184#2457C2212yes—
185#2454C2211yescharacteristic
186#2451C2214yescomplemented
187#2451C2212yescomplemented
188#2448C2212yes—
189#2447C2211yescharacteristic
190#2442C2211yescharacteristic
191#2442C2212yes—
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2440C2212yes—
195#2440C2214yes—
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2435C2211yescharacteristic
199#2427C2211yescharacteristic
200#2426C2212yes—
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2423C2212yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yes—
209#2420C2211yescharacteristic
210#2418C2212yes—
211#2418C2214yes—
212#2417C2212yes—
213#2417C2211yescharacteristic
214#2417C2212yes—
215#2415C2212yescomplemented
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2395C2212yes—
224#2392C2212yes—
225C2×#396C2214yes—
226#2378C2214yescomplemented
227#2378C2214yescomplemented
228#2368C2214yes—
229#2367C2211yescharacteristic, complemented
230#2367C2212yescomplemented
231#2363C2212yes—
232#2362C2212yescomplemented
233#2362C2212yescomplemented
234#2362C2212yescomplemented
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2211yescharacteristic, complemented
239#2361C2212yes—
240#2361C2211yescharacteristic
241#2360C2212yes—
242#2355C2211yescharacteristic, complemented
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2352C2212yes—
247#2352C2212yes—
248#2352C2211yescharacteristic
249#2352C2212yes—
250#2352C2212yes—
251#2351C2211yescharacteristic, complemented
252Q8×C4⋊C4C2212yescomplemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254#2347C2212yescomplemented
255#2347C2212yescomplemented
256#2345C2214yes—
257#2345C2212yes—
258#2345C2212yes—
259#2345C2214yes—
260#2341C2211yescharacteristic, complemented
261Q8×C22⋊C4C2212yes—
262Q8×C22⋊C4C2211yescharacteristic
263#2332C2214yescomplemented
264#2332C2214yescomplemented
265#2324C2212yescomplemented
266#2323C2212yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2323C2212yescomplemented
270#2321C2214yes—
271#2314C2212yescomplemented
272#2312C2214yes—
273#2312C2214yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2212yescomplemented
276C4×#124C2211yescharacteristic
277C4×#124C2212yescomplemented
278C4×#124C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#120C2212yes—
287#2296C2212yescomplemented
288#2293C2211yescharacteristic
289C2×#390C2212yes—
290C2×#389C2212yes—
291#2285C2211yescharacteristic, complemented
292C2×#384C2211yescharacteristic
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303Q82—44no—
304#555—44no—
305#548—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310#529—44no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8—216no—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#120C2314yes—
349C2×#120C2312yes—
350C4×#41—44no—
351C2×C4×Q8—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4—44no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#383C2314yes—
712#383C2314yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#379C2314yes—
758#379C2312yes—
759#379C2312yes—
760#379C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C2×#95C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8—42no—
823C22×Q8—42no—
824C22×Q8#4118yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—28no—
846C23×C4—44no—
847C23×C4—44no—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C4⋊Q8—24no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—48no—
869#126—44no—
870#126—84no—
871#126—84no—
872#125—44no—
873#125—42no—
874#124—24no—
875#124—28no—
876#124—42no—
877#124—42no—
878#124—48no—
879#124—84no—
880#124—84no—
881#123—44no—
882#123—84no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—24no—
890C22⋊Q8—28no—
891C22⋊Q8—24no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—42no—
896C22⋊Q8—82no—
897#121—24no—
898#121—28no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—42no—
903#121—44no—
904#121—44no—
905#120—44no—
906#120—48no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—42no—
914C4×Q8—42no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—82no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—42no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—216no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—42no—
952C2×C4⋊C4—42no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—82no—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—84no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42—44no—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2511yescharacteristic
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—416no—
1219C2×Q8C2×#4114yes—
1220C2×Q8C2×#4114yes—
1221C2×Q8C2×#4118yes—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—416no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—816no—
1305C22×C4C2×#4114yes—
1306C22×C4C2×#4118yes—
1307C22×C42−1+414yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—41no—
1493C42—42no—
1494C42—44no—
1495C42—42no—
1496C42—44no—
1497C42—41no—
1498C42—44no—
1499C42—44no—
1500C42—42no—
1501C42H(5,𝔽2)14yes—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—22no—
1527C23—22no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—48no—
1535C23—48no—
1536C23—48no—
1537C23—84no—
1538C23—84no—
1539C23—84no—
1540C23—84no—
1541C23C22×#4112yes—
1542C23C2×2−1+412yes—
1543C23#58512yes—
1544C23C2611yescharacteristic
1545Q8—28no—
1546Q8—28no—
1547Q8—48no—
1548Q8—44no—
1549Q8—84no—
1550Q8—164no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—48no—
1555D4—44no—
1556D4—44no—
1557D4—44no—
1558D4—84no—
1559D4—84no—
1560D4—164no—
1561D4—164no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—82no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4C22×#4114yes—
1659C2×C4C22×#4114yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×2−1+412yes—
1666C2×C4C2×2−1+412yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—816no—
1704C22#351814yes—
1705C22C23×#4111yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×2−1+411yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—24no—
1715C4—24no—
1716C4—22no—
1717C4—41no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—44no—
1722C4—44no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—44no—
1740C4#350514yes—
1741C4#354114yes—
1742C2—24no—
1743C2—81no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2C2×#354111yescharacteristic
1748C2C2×#350511yescharacteristic
1749C2C2×#351811yescharacteristic
1750C2#6292611yescharacteristic
1751C2#6295711yescharacteristic
1752C2#6300611yescharacteristic
1753C2#6302911yescharacteristic
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. #59855C2semidirect
2. #59659C2semidirect
3. #59302C2semidirect
4. #59211C2semidirect
5. #59204C2semidirect
6. #49482C2semidirect
7. #48590C2semidirect
8. #46083C2semidirect
9. #45702C2semidirect
10. #45314C2semidirect
11. #45262C2semidirect
12. #43940C2semidirect
13. #42896C2semidirect
14. #42894C2semidirect
15. #40561C2semidirect
16. #40131C2semidirect
17. #40035C2semidirect
18. #39723C2semidirect
19. #39503C2semidirect
20. #39194C2semidirect
21. #39125C2semidirect
22. #37852C2semidirect
23. #36590C2semidirect
24. Q8×C22⋊Q8C2semidirect
25. #36411C2semidirect
26. #36387C2semidirect
27. #36189C2semidirect
28. #36160C2semidirect
29. #35189C2semidirect
30. #35185C2semidirect
31. #35025C2semidirect
32. C2×#2538C2semidirect
33. #34700C2semidirect
34. #34370C2semidirect
35. C4×#548C2semidirect
36. C2×Q82C22semidirect
41. C2×C4×#41C22semidirect
44. #2864C22semidirect
47. #2859C22semidirect
50. #2857C22semidirect
52. #2851C22semidirect
55. #2838C22semidirect
56. #2829C22semidirect
60. #2801C22semidirect
61. #2800C22semidirect
62. #2800C22semidirect
63. #2800C22semidirect
64. #2800C22semidirect
65. #2795C22semidirect
66. #2793C22semidirect
67. #2793C22semidirect
68. #2786C22semidirect
69. #2783C22semidirect
70. #2779C22semidirect
71. #2776C22semidirect
72. #2775C22semidirect
73. #2757C22semidirect
74. #2746C22semidirect
75. #2745C22semidirect
76. #2741C22semidirect
77. #2740C22semidirect
78. #2737C22semidirect
80. #2731C22semidirect
81. #2730C22semidirect
82. #2730C22semidirect
83. #2728C22semidirect
84. #2728C22semidirect
85. #2718C22semidirect
86. #2717C22semidirect
87. #2716C22semidirect
88. #2715C22semidirect
89. #2674C22semidirect
90. #2662C22semidirect
91. #2654C22semidirect
93. #2650C22semidirect
95. #2630C22semidirect
96. #2628C22semidirect
97. #2624C22semidirect
99. #2601C22semidirect
100. #2594C22semidirect
101. #2594C22semidirect
102. #2594C22semidirect
105. #2590C22semidirect
106. #2589C22semidirect
107. #2588C22semidirect
108. #2587C22semidirect
109. #2582C22semidirect
110. #2582C22semidirect
112. #2577C22semidirect
113. #2571C22semidirect
114. #2570C22semidirect
115. #2570C22semidirect
116. #2570C22semidirect
117. #2567C22semidirect
118. #2567C22semidirect
122. #2550C22semidirect
123. #2547C22semidirect
124. #2545C22semidirect
134. #2538C22semidirect
136. #2536C22semidirect
137. #2536C22semidirect
138. #2525C22semidirect
139. #2525C22semidirect
140. #2525C22semidirect
141. #2521C22semidirect
142. #2514C22semidirect
146. #2512C22semidirect
147. #2512C22semidirect
148. #2511C22semidirect
151. #2509C22semidirect
152. #2507C22semidirect
156. #2499C22semidirect
157. #2497C22semidirect
158. #2496C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2494C22semidirect
163. #2494C22semidirect
166. #2491C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
176. #2474C22semidirect
180. #2469C22semidirect
182. #2461C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2423C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
215. #2415C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
226. #2378C22semidirect
227. #2378C22semidirect
229. #2367C22semidirect
230. #2367C22semidirect
232. #2362C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
242. #2355C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
251. #2351C22semidirect
252. Q8×C4⋊C4C22semidirect
253. Q8×C4⋊C4C22semidirect
254. #2347C22semidirect
255. #2347C22semidirect
260. #2341C22semidirect
263. #2332C22semidirect
264. #2332C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
271. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
277. C4×#124C22semidirect
278. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
287. #2296C22semidirect
291. #2285C22semidirect
296. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598552
#596592
#593022
#592112
#592042
#494822
#485902
#460832
#457022
#453142
#452622
#439402
#428962
#428942
#405612
#401312
#400352
#397232
#395032
#391942
#391252
#378522
#365902
Q8×C22⋊Q82
#364112
#363872
#361892
#361602
#351892
#351852
#350252
C2×#25382
#347002
#343702
C4×#5482