Finite Group Databasebeta

← #7693185

Subgroups — #7693185

Order 512.

5135 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59976C214yesmaximal, complemented
2#59713C212yesmaximal, complemented
3#59679C212yesmaximal, complemented
4#59679C211yesmaximal, characteristic, complemented
5#59592C212yesmaximal, complemented
6#59312C211yesmaximal, characteristic, complemented
7#59227C211yesmaximal, characteristic, complemented
8#59054C212yesmaximal, complemented
9#45254C212yesmaximal, complemented
10#44905C212yesmaximal, complemented
11#44196C214yesmaximal, complemented
12#43396C214yesmaximal, complemented
13#40225C212yesmaximal, complemented
14#40221C212yesmaximal, complemented
15#40064C214yesmaximal, complemented
16#39725C211yesmaximal, characteristic, complemented
17#39725C211yesmaximal, characteristic, complemented
18#39483C212yesmaximal, complemented
19#36600C211yesmaximal, characteristic, complemented
20#36499C212yesmaximal, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36416C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36230C212yesmaximal, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36117C211yesmaximal, characteristic, complemented
27#35813C212yesmaximal, complemented
28#35785C212yesmaximal, complemented
29#34929C211yesmaximal, characteristic, complemented
30#34724C212yesmaximal, complemented
31#34319C212yesmaximal, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#529C2212yes—
43C2×C4×#41C2212yes—
44#2861C2212yes—
45#2859C2212yes—
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2855C2212yes—
50#2854C2212yes—
51#2851C2214yes—
52#2800C2214yes—
53#2800C2214yes—
54#2800C2214yes—
55#2781C2214yes—
56#2775C2214yes—
57#2773C2214yes—
58#2770C2214yes—
59#2768C2214yes—
60#2751C2214yes—
61#2750C2214yes—
62#2727C2214yes—
63#2727C2214yes—
64#2721C2214yes—
65#2711C2214yes—
66#2711C2214yes—
67#2695C2214yes—
68#2694C2214yes—
69#2682C2214yes—
70#2682C2214yes—
71#2676C2214yes—
72#2676C2214yes—
73#2651C2214yes—
74#2648C2214yes—
75#2619C2212yes—
76#2619C2212yes—
77#2611C2214yes—
78#2609C2214yes—
79#2608C2214yes—
80#2604C2214yes—
81#2596C2214yes—
82#2595C2214yes—
83#2593C2214yes—
84#2589C2214yes—
85#2589C2214yes—
86#2587C2214yes—
87#2587C2214yes—
88#2587C2214yes—
89#2585C2214yes—
90#2585C2214yes—
91#2580C2212yes—
92#2580C2212yes—
93#2571C2212yes—
94#2570C2212yes—
95#2570C2212yes—
96#2570C2212yes—
97#2566C2212yes—
98#2566C2212yes—
99#2566C2212yes—
100#2562C2212yes—
101#2557C2214yes—
102#2556C2212yes—
103#2556C2212yes—
104#2554C2214yes—
105#2552C2211yescharacteristic
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2551C2211yescharacteristic
109#2548C2211yescharacteristic
110#2548C2212yes—
111#2548C2211yescharacteristic
112#2548C2212yes—
113#2546C2211yescharacteristic
114#2545C2212yes—
115#2545C2214yes—
116#2542C2211yescharacteristic
117#2540C2212yes—
118#2540C2212yes—
119#2538C2211yescharacteristic
120#2538C2211yescharacteristic
121#2538C2211yescharacteristic
122#2531C2214yes—
123#2529C2214yes—
124#2521C2214yes—
125#2516C2214yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2512C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2512C2214yes—
133#2512C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2506C2212yes—
137#2504C2212yes—
138#2501C2212yes—
139#2501C2212yes—
140#2500C2212yes—
141#2500C2212yes—
142#2500C2212yes—
143#2497C2212yes—
144#2492C2211yescharacteristic
145#2492C2211yescharacteristic
146#2491C2212yes—
147#2491C2212yes—
148#2490C2212yes—
149#2489C2212yes—
150#2486C2212yes—
151#2479C2214yes—
152#2479C2214yes—
153#2478C2214yes—
154#2476C2214yes—
155#2474C2214yes—
156#2471C2214yes—
157#2470C2214yes—
158#2468C2214yes—
159#2467C2214yes—
160#2466C2214yes—
161#2466C2214yes—
162#2466C2214yes—
163#2459C2214yes—
164#2458C2214yes—
165#2457C2214yes—
166#2455C2214yes—
167#2455C2214yes—
168#2455C2214yes—
169#2455C2214yes—
170#2454C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2452C2212yes—
174#2448C2212yes—
175#2447C2214yes—
176#2447C2212yes—
177#2441C2214yes—
178#2441C2212yes—
179#2439C2214yes—
180#2432C2212yes—
181#2432C2212yes—
182#2429C2212yes—
183#2429C2211yescharacteristic
184#2429C2211yescharacteristic
185#2427C2212yes—
186#2425C2214yes—
187#2423C2212yes—
188#2422C2212yes—
189#2422C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2415C2212yes—
193#2413C2214yes—
194#2407C2212yes—
195#2407C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198#2395C2214yes—
199#2392C2214yes—
200#2374C2214yes—
201#2374C2212yes—
202#2373C2214yes—
203#2373C2212yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2370C2214yes—
208#2370C2212yes—
209#2369C2212yes—
210#2367C2214yes—
211#2367C2212yes—
212#2366C2211yescharacteristic
213#2366C2212yes—
214#2365C2212yes—
215#2364C2212yes—
216#2363C2214yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2214yes—
220#2363C2211yescharacteristic
221#2361C2212yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2211yescharacteristic
225#2360C2212yes—
226#2360C2214yes—
227#2360C2212yes—
228#2357C2212yes—
229#2357C2214yes—
230#2357C2211yescharacteristic
231#2357C2212yes—
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2355C2212yes—
238#2355C2211yescharacteristic
239#2354C2212yes—
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2353C2212yes—
244#2352C2211yescharacteristic
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249#2347C2211yescharacteristic
250#2346C2212yes—
251#2346C2212yes—
252#2345C2211yescharacteristic
253#2344C2212yes—
254#2341C2212yes—
255#2334C2214yes—
256#2333C2214yes—
257#2330C2214yes—
258#2329C2214yes—
259#2324C2212yes—
260#2324C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#127C2212yes—
268C4×#127C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#126C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2214yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2214yes—
283C4×#121C2212yes—
284#2296C2214yes—
285#2293C2212yes—
286#2293C2212yes—
287#2290C2214yes—
288#2285C2211yescharacteristic
289C2×#384C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#553—216no—
301#553—28no—
302#552—48no—
303#550—28no—
304#533—28no—
305#533—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C4×#41—48no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2314yes—
399C2×#117C2314yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2314yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2312yes—
464#395C2312yes—
465#395C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
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#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858#127—24no—
859#127—28no—
860#126—28no—
861#126—216no—
862#126—48no—
863#126—48no—
864#126—84no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#125—24no—
870#125—44no—
871#125—48no—
872#124—44no—
873#124—44no—
874#124—48no—
875#124—84no—
876#123—28no—
877#123—216no—
878#123—48no—
879#123—48no—
880#123—84no—
881#123—84no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—28no—
893#121—216no—
894#121—24no—
895#121—28no—
896#121—28no—
897#121—24no—
898#121—216no—
899#121—28no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—82no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—84no—
914C4×Q8#4118yes—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—216no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—48no—
932C4×D4—48no—
933C4×D4—84no—
934C4×D4—82no—
935C4×D4#4118yescomplemented
936#117—24no—
937#117—28no—
938#117—28no—
939#117—24no—
940#117—28no—
941#117—28no—
942#117—48no—
943#117—48no—
944#117—48no—
945#117—48no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—82no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—44no—
1083C2×C42—48no—
1084C2×C42—44no—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2414yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188C24C2512yes—
1189C24C2514yes—
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192#41—432no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8C2×#4114yes—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—44no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4C2×#4114yes—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—44no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4C2×#4114yes—
1285C22×C4C2×#4114yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4C2×#4114yes—
1387C4⋊C4C2×#4118yes—
1388C4⋊C4C2×#4114yes—
1389C4⋊C4H(5,𝔽2)14yes—
1390C4⋊C42−1+414yes—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4C2×#4114yes—
1445C22⋊C4C2×#4114yes—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—28no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—28no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—42no—
1477C42—41no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42C2×#4114yes—
1485C42C2×#4118yes—
1486C42C2×#4114yes—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—24no—
1513C23C22×#4112yes—
1514C23C22×#4112yes—
1515C23C2611yescharacteristic
1516Q8—28no—
1517Q8—48no—
1518Q8—44no—
1519Q8—44no—
1520Q8—84no—
1521D4—44no—
1522D4—416no—
1523D4—48no—
1524D4—48no—
1525D4—44no—
1526D4—48no—
1527D4—84no—
1528D4—88no—
1529D4—84no—
1530D4—88no—
1531D4—88no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—28no—
1553C2×C4—28no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—44no—
1612C2×C4—416no—
1613C2×C4—416no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—84no—
1618C2×C4—88no—
1619C2×C4—82no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4114yes—
1629C2×C4C22×#4114yes—
1630C2×C4C22×#4112yes—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×2−1+414yes—
1637C2×C4C2×2−1+412yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—44no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—44no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—44no—
1666C22—44no—
1667C22—42no—
1668C22C23×#4111yescharacteristic
1669C22C23×#4111yescharacteristic
1670C22C22×H(5,𝔽2)11yescharacteristic
1671C22C22×2−1+411yescharacteristic
1672C22C2×#58511yescharacteristic
1673C22C2×#58511yescharacteristic
1674C22H(7,𝔽2)11yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—24no—
1679C4—24no—
1680C4—24no—
1681C4—24no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—44no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4#348214yes—
1705C4#350614yes—
1706C2—42no—
1707C2—42no—
1708C2—84no—
1709C2—82no—
1710C2C2×#348211yescharacteristic
1711C2C2×#350611yescharacteristic
1712C2#6281511yescharacteristic
1713C2#6295211yescharacteristic
1714C2#6298611yescharacteristic
1715C2#6300811yescharacteristic
1716C2#6301311yescharacteristic
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. #59976C2semidirect
2. #59713C2semidirect
3. #59679C2semidirect
4. #59679C2semidirect
5. #59592C2semidirect
6. #59312C2semidirect
7. #59227C2semidirect
8. #59054C2semidirect
9. #45254C2semidirect
10. #44905C2semidirect
11. #44196C2semidirect
12. #43396C2semidirect
13. #40225C2semidirect
14. #40221C2semidirect
15. #40064C2semidirect
16. #39725C2semidirect
17. #39725C2semidirect
18. #39483C2semidirect
19. #36600C2semidirect
20. #36499C2semidirect
21. #36477C2semidirect
22. #36416C2semidirect
23. #36302C2semidirect
24. #36230C2semidirect
25. #36182C2semidirect
26. #36117C2semidirect
27. #35813C2semidirect
28. #35785C2semidirect
29. #34929C2semidirect
30. #34724C2semidirect
31. #34319C2semidirect
32. #34214C2semidirect
33. #34213C2semidirect
34. C4×#553C2semidirect
35. C4×#550C2semidirect
935. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599762
#597132
#596792
#595922
#593122
#592272
#590542
#452542
#449052
#441962
#433962
#402252
#402212
#400642
#397252
#394832
#366002
#364992
#364772
#364162
#363022
#362302
#361822
#361172
#358132
#357852
#349292
#347242
#343192
#342142
#342132
C4×#5532
C4×#5502