Finite Group Databasebeta

← #7968351

Subgroups — #7968351

Order 512.

5000 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59663C212yesmaximal, complemented
2#59655C211yesmaximal, characteristic, complemented
3#59383C212yesmaximal, complemented
4#59262C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#51287C214yesmaximal, complemented
7#48219C214yesmaximal, complemented
8#46174C212yesmaximal, complemented
9#45631C212yesmaximal, complemented
10#45303C212yesmaximal, complemented
11#45215C212yesmaximal, complemented
12#44364C214yesmaximal, complemented
13#42849C212yesmaximal, complemented
14#42666C212yesmaximal, complemented
15#41198C214yesmaximal, complemented
16#40214C212yesmaximal, complemented
17#40151C212yesmaximal, complemented
18#39691C212yesmaximal, complemented
19#39400C212yesmaximal, complemented
20#39377C211yesmaximal, characteristic, complemented
21#39222C212yesmaximal, complemented
22#39126C211yesmaximal, characteristic, complemented
23#36563C211yesmaximal, characteristic, complemented
24Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
25#36509C212yesmaximal, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36275C211yesmaximal, characteristic, complemented
28#36188C211yesmaximal, characteristic, complemented
29#35247C211yesmaximal, characteristic, complemented
30#35185C211yesmaximal, characteristic, complemented
31#35008C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34422C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#542C2212yes—
41C2×#539C2214yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2868C2211yescharacteristic
47#2864C2212yes—
48#2860C2212yes—
49#2859C2212yes—
50#2857C2212yes—
51#2857C2212yes—
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2855C2212yes—
56#2854C2212yes—
57#2838C2214yes—
58#2836C2214yes—
59#2806C2214yes—
60#2802C2214yes—
61#2797C2214yes—
62#2793C2214yes—
63#2788C2214yes—
64#2774C2214yes—
65#2769C2214yes—
66#2768C2214yes—
67#2765C2214yes—
68#2762C2214yes—
69#2759C2214yes—
70#2755C2214yes—
71#2751C2214yes—
72#2747C2214yes—
73#2737C2214yes—
74#2729C2214yes—
75#2727C2214yes—
76#2723C2214yes—
77#2721C2214yes—
78#2718C2214yes—
79#2715C2214yes—
80#2710C2214yes—
81#2710C2214yes—
82#2708C2214yes—
83#2702C2214yes—
84#2700C2214yes—
85#2700C2214yes—
86#2695C2214yes—
87#2690C2214yes—
88#2687C2214yes—
89#2681C2214yes—
90#2674C2214yes—
91#2672C2214yes—
92#2664C2214yes—
93#2663C2214yes—
94#2651C2214yes—
95#2651C2214yes—
96#2650C2214yes—
97#2638C2214yes—
98#2637C2214yes—
99#2629C2212yes—
100#2628C2212yes—
101#2611C2214yes—
102#2609C2214yes—
103#2592C2212yes—
104#2590C2214yes—
105#2590C2214yes—
106#2589C2214yes—
107#2588C2214yes—
108#2584C2214yes—
109#2584C2212yes—
110#2582C2211yescharacteristic
111#2582C2212yes—
112#2582C2211yescharacteristic
113#2582C2211yescharacteristic
114#2578C2214yes—
115#2571C2211yescharacteristic
116#2568C2212yes—
117#2567C2212yes—
118#2567C2212yes—
119#2567C2211yescharacteristic
120#2563C2211yescharacteristic
121#2563C2212yes—
122#2562C2212yes—
123#2556C2214yes—
124#2555C2214yes—
125#2554C2214yes—
126#2553C2214yes—
127#2552C2212yes—
128#2550C2212yes—
129#2550C2214yes—
130#2549C2214yes—
131#2547C2212yes—
132#2547C2212yes—
133#2538C2211yescharacteristic
134#2538C2212yes—
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2537C2211yescharacteristic
138#2537C2212yes—
139#2536C2212yes—
140#2536C2212yes—
141#2527C2214yes—
142#2515C2214yes—
143#2515C2214yes—
144#2513C2212yes—
145#2509C2212yes—
146#2507C2212yes—
147#2507C2214yes—
148#2506C2212yes—
149#2506C2212yes—
150#2505C2214yes—
151#2501C2212yes—
152#2499C2212yes—
153#2499C2212yes—
154#2496C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2212yes—
158#2496C2212yes—
159#2496C2212yes—
160#2495C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2491C2212yes—
166#2488C2214yes—
167#2487C2212yes—
168#2486C2212yes—
169#2486C2212yes—
170#2485C2212yes—
171#2485C2212yes—
172#2478C2212yes—
173#2473C2214yes—
174#2470C2214yes—
175#2470C2212yes—
176#2469C2214yes—
177#2466C2214yes—
178#2466C2214yes—
179#2466C2212yes—
180#2465C2214yes—
181#2455C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2211yescharacteristic
185#2452C2212yes—
186#2452C2214yes—
187#2452C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2451C2212yes—
191#2451C2214yes—
192#2449C2214yes—
193#2447C2211yescharacteristic
194#2442C2212yes—
195#2441C2211yescharacteristic
196#2441C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2440C2214yes—
200#2440C2212yes—
201#2439C2212yes—
202#2439C2214yes—
203#2438C2214yes—
204#2432C2211yescharacteristic
205#2429C2212yes—
206#2429C2214yes—
207#2429C2211yescharacteristic
208#2426C2212yes—
209#2425C2214yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2211yescharacteristic
216#2421C2212yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2211yescharacteristic
220#2413C2214yes—
221#2409C2212yes—
222#2407C2212yes—
223#2407C2211yescharacteristic
224#2407C2212yes—
225#2395C2212yes—
226#2392C2214yes—
227#2392C2212yes—
228#2383C2214yes—
229#2378C2214yes—
230#2373C2214yes—
231#2373C2214yes—
232#2369C2212yes—
233#2367C2212yes—
234#2367C2211yescharacteristic
235#2367C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2362C2212yes—
239#2362C2211yescharacteristic
240#2361C2212yes—
241#2361C2211yescharacteristic
242#2360C2212yes—
243#2360C2212yes—
244#2360C2214yes—
245#2357C2212yes—
246#2356C2212yes—
247#2356C2212yes—
248#2355C2212yes—
249#2352C2212yes—
250#2352C2211yescharacteristic
251#2351C2211yescharacteristic
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259#2341C2212yes—
260#2341C2211yescharacteristic
261Q8×C22⋊C4C2211yescharacteristic
262Q8×C22⋊C4C2212yes—
263#2339C2212yes—
264#2337C2214yes—
265#2335C2214yes—
266#2326C2214yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2323C2212yes—
271#2322C2214yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2296C2212yes—
292#2293C2211yescharacteristic
293C2×#389C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302Q82—44no—
303#556—48no—
304#554—44no—
305#548—28no—
306#542—216no—
307#539—416no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316#529—44no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2311yescharacteristic
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2314yes—
359C4×#41—44no—
360C4×#41—44no—
361C2×C4×Q8—44no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2314yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2312yes—
416C22×C42C2312yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
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#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2314yes—
714#384C2312yes—
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#383C2314yes—
722#383C2314yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2314yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—42no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×Q8C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868C4⋊Q8—48no—
869#126—216no—
870#126—216no—
871#126—44no—
872#126—48no—
873#126—48no—
874#125—42no—
875#125—48no—
876#125—48no—
877#125—44no—
878#124—216no—
879#124—28no—
880#124—42no—
881#124—48no—
882#124#4118yescomplemented
883#123—216no—
884#123—28no—
885#123—48no—
886#123—48no—
887#123—44no—
888#123—48no—
889C22⋊Q8—28no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—216no—
895C22⋊Q8—28no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905#121—28no—
906#121—24no—
907#121—28no—
908#121—48no—
909#121—44no—
910#121—42no—
911C4×Q8—28no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—42no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—42no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—44no—
948#117—28no—
949#117—44no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117—44no—
954#117—42no—
955#117—42no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—48no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42—44no—
1092C2×C42—44no—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2511yescharacteristic
1201#41—416no—
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—416no—
1225C2×Q8C2×#4114yes—
1226C2×Q82−1+414yes—
1227C2×Q82−1+414yes—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4C2×#4114yes—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—41no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4C2×#4118yes—
1456C22⋊C4C2×#4118yes—
1457C22⋊C4H(5,𝔽2)14yes—
1458C42—24no—
1459C42—24no—
1460C42—28no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—41no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42C2×#4114yes—
1493C42H(5,𝔽2)14yes—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23C22×#4114yes—
1521C23C2×H(5,𝔽2)12yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—28no—
1525Q8—28no—
1526Q8—48no—
1527Q8—44no—
1528Q8—88no—
1529Q8—84no—
1530Q8—164no—
1531D4—28no—
1532D4—44no—
1533D4—48no—
1534D4—48no—
1535D4—48no—
1536D4—44no—
1537D4—88no—
1538D4—84no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4—164no—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×2−1+414yes—
1644C2×C4C2×2−1+414yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4#58512yes—
1648C22—24no—
1649C22—24no—
1650C22—22no—
1651C22—24no—
1652C22—22no—
1653C22—22no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22C23×#4111yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C22×2−1+411yescharacteristic
1681C22C2×#58511yescharacteristic
1682C222−1+611yescharacteristic
1683C4—24no—
1684C4—22no—
1685C4—24no—
1686C4—24no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—44no—
1700C4—42no—
1701C4—44no—
1702C4—42no—
1703C4—44no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—44no—
1710C4—42no—
1711C4—41no—
1712C4#352014yes—
1713C4#354114yes—
1714C2—44no—
1715C2—42no—
1716C2—81no—
1717C2—82no—
1718C2C2×#354111yescharacteristic
1719C2C2×#352011yescharacteristic
1720C2#6280011yescharacteristic
1721C2#6291411yescharacteristic
1722C2#6295311yescharacteristic
1723C2#6300111yescharacteristic
1724C2#6303711yescharacteristic
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. #59663C2semidirect
2. #59655C2semidirect
3. #59383C2semidirect
4. #59262C2semidirect
5. #59219C2semidirect
6. #51287C2semidirect
7. #48219C2semidirect
8. #46174C2semidirect
9. #45631C2semidirect
10. #45303C2semidirect
11. #45215C2semidirect
12. #44364C2semidirect
13. #42849C2semidirect
14. #42666C2semidirect
15. #41198C2semidirect
16. #40214C2semidirect
17. #40151C2semidirect
18. #39691C2semidirect
19. #39400C2semidirect
20. #39377C2semidirect
21. #39222C2semidirect
22. #39126C2semidirect
23. #36563C2semidirect
24. Q8×C22⋊Q8C2semidirect
25. #36509C2semidirect
26. #36456C2semidirect
27. #36275C2semidirect
28. #36188C2semidirect
29. #35247C2semidirect
30. #35185C2semidirect
31. #35008C2semidirect
32. #34976C2semidirect
33. #34724C2semidirect
34. #34422C2semidirect
35. C4×#548C2semidirect
882. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596632
#596552
#593832
#592622
#592192
#512872
#482192
#461742
#456312
#453032
#452152
#443642
#428492
#426662
#411982
#402142
#401512
#396912
#394002
#393772
#392222
#391262
#365632
Q8×C22⋊Q82
#365092
#364562
#362752
#361882
#352472
#351852
#350082
#349762
#347242
#344222
C4×#5482