Finite Group Databasebeta

← #7690095

Subgroups — #7690095

Order 512.

5066 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59994C214yesmaximal, complemented
2#59681C211yesmaximal, characteristic, complemented
3#59479C212yesmaximal, complemented
4#59291C212yesmaximal, complemented
5#59234C211yesmaximal, characteristic, complemented
6#59218C211yesmaximal, characteristic, complemented
7#59098C212yesmaximal, complemented
8#59040C212yesmaximal, complemented
9#45178C212yesmaximal, complemented
10#44973C212yesmaximal, complemented
11#44440C214yesmaximal, complemented
12#44287C214yesmaximal, complemented
13#40078C212yesmaximal, complemented
14#40070C212yesmaximal, complemented
15#39369C211yesmaximal, characteristic, complemented
16#38920C211yesmaximal, characteristic, complemented
17#38884C214yesmaximal, complemented
18#37980C212yesmaximal, complemented
19#36491C212yesmaximal, complemented
20#36481C211yesmaximal, characteristic, complemented
21#36368C212yesmaximal, complemented
22#36297C212yesmaximal, complemented
23#36259C211yesmaximal, characteristic, complemented
24#36194C211yesmaximal, characteristic, complemented
25#36134C211yesmaximal, characteristic, complemented
26#36133C211yesmaximal, characteristic, complemented
27#36000C212yesmaximal, complemented
28#35828C212yesmaximal, complemented
29#34929C212yesmaximal, complemented
30#34724C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34272C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#544C2212yes—
40C2×#533C2212yes—
41C2×#533C2212yes—
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2866C2214yes—
46#2863C2212yes—
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2854C2212yes—
52#2802C2214yes—
53#2793C2214yes—
54#2783C2214yes—
55#2775C2214yes—
56#2774C2214yes—
57#2773C2214yes—
58#2773C2214yes—
59#2768C2214yes—
60#2738C2214yes—
61#2723C2214yes—
62#2720C2214yes—
63#2718C2214yes—
64#2711C2214yes—
65#2706C2214yes—
66#2698C2214yes—
67#2694C2214yes—
68#2694C2214yes—
69#2687C2214yes—
70#2681C2214yes—
71#2677C2214yes—
72#2674C2214yes—
73#2651C2214yes—
74#2650C2214yes—
75#2628C2212yes—
76#2624C2212yes—
77#2606C2214yes—
78#2601C2214yes—
79#2596C2214yes—
80#2590C2214yes—
81#2590C2214yes—
82#2578C2214yes—
83#2575C2214yes—
84#2573C2214yes—
85#2572C2214yes—
86#2571C2212yes—
87#2570C2212yes—
88#2563C2212yes—
89#2560C2214yes—
90#2558C2214yes—
91#2556C2214yes—
92#2556C2214yes—
93#2552C2212yes—
94#2552C2211yescharacteristic
95#2551C2211yescharacteristic
96#2551C2212yes—
97#2547C2212yes—
98#2546C2211yescharacteristic
99#2546C2211yescharacteristic
100#2546C2212yes—
101#2542C2212yes—
102#2542C2212yes—
103#2542C2212yes—
104#2540C2214yes—
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic
107#2538C2212yes—
108#2538C2212yes—
109#2530C2214yes—
110#2526C2214yes—
111#2525C2214yes—
112#2524C2214yes—
113#2524C2214yes—
114#2522C2214yes—
115#2521C2214yes—
116#2519C2214yes—
117#2516C2214yes—
118#2516C2214yes—
119#2513C2212yes—
120#2512C2212yes—
121#2511C2212yes—
122#2509C2212yes—
123#2507C2212yes—
124#2507C2212yes—
125#2506C2212yes—
126#2506C2214yes—
127#2506C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2496C2212yes—
132#2495C2212yes—
133#2492C2212yes—
134#2492C2212yes—
135#2492C2212yes—
136#2491C2212yes—
137#2490C2212yes—
138#2489C2212yes—
139#2487C2212yes—
140#2486C2212yes—
141#2485C2212yes—
142#2479C2214yes—
143#2478C2212yes—
144#2477C2214yes—
145#2476C2214yes—
146#2474C2214yes—
147#2473C2214yes—
148#2471C2214yes—
149#2471C2214yes—
150#2470C2212yes—
151#2470C2214yes—
152#2466C2212yes—
153#2463C2214yes—
154#2462C2214yes—
155#2458C2214yes—
156#2457C2214yes—
157#2455C2212yes—
158#2453C2211yescharacteristic
159#2452C2212yes—
160#2452C2214yes—
161#2451C2212yes—
162#2447C2211yescharacteristic
163#2446C2212yes—
164#2446C2212yes—
165#2441C2214yes—
166#2441C2212yes—
167#2441C2212yes—
168#2441C2211yescharacteristic
169#2440C2212yes—
170#2440C2212yes—
171#2439C2212yes—
172#2439C2212yes—
173#2438C2214yes—
174#2438C2214yes—
175#2432C2212yes—
176#2432C2211yescharacteristic
177#2429C2214yes—
178#2429C2211yescharacteristic
179#2429C2212yes—
180#2429C2212yes—
181#2426C2214yes—
182#2425C2214yes—
183#2423C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2422C2211yescharacteristic
187#2417C2214yes—
188#2416C2212yes—
189#2415C2212yes—
190#2415C2211yescharacteristic
191#2415C2212yes—
192#2414C2212yes—
193#2413C2214yes—
194#2407C2212yes—
195#2407C2211yescharacteristic
196#2396C2214yes—
197#2396C2214yes—
198#2395C2212yes—
199#2392C2212yes—
200#2374C2214yes—
201#2374C2212yes—
202#2373C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2370C2212yes—
208#2369C2212yes—
209#2369C2212yes—
210#2368C2214yes—
211#2368C2214yes—
212#2367C2212yes—
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2212yes—
216#2365C2212yes—
217#2364C2212yes—
218#2363C2212yes—
219#2363C2211yescharacteristic
220#2362C2212yes—
221#2362C2212yes—
222#2361C2211yescharacteristic
223#2360C2214yes—
224#2360C2214yes—
225#2359C2214yes—
226#2359C2214yes—
227#2357C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2212yes—
235#2354C2212yes—
236#2354C2212yes—
237#2353C2212yes—
238#2352C2211yescharacteristic
239#2352C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245#2347C2212yes—
246#2347C2211yescharacteristic
247#2347C2212yes—
248#2346C2212yes—
249#2346C2214yes—
250#2345C2212yes—
251#2345C2211yescharacteristic
252#2344C2212yes—
253#2341C2212yes—
254#2341C2212yes—
255#2339C2212yes—
256#2335C2214yes—
257#2334C2214yes—
258#2331C2214yes—
259#2330C2214yes—
260#2324C2212yes—
261#2317C2212yes—
262#2314C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2214yes—
267C4×#125C2211yescharacteristic
268C4×#125C2214yes—
269C4×#126C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2297C2212yes—
281#2296C2212yes—
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2214yes—
285#2293C2214yes—
286C2×#389C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2274C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#553—28no—
302#547—28no—
303#547—48no—
304#544—216no—
305#533—48no—
306#533—48no—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317#529—28no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#125C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C4×#41—28no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#392C2312yes—
484#392C2314yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2314yes—
518#390C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#384C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C4⋊Q8—24no—
854C4⋊Q8—28no—
855C4⋊Q8—216no—
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—82no—
863#126—28no—
864#126—28no—
865#126—84no—
866#125—24no—
867#125—216no—
868#125—28no—
869#125—48no—
870#125—48no—
871#125#4118yescomplemented
872#124—24no—
873#124—84no—
874#123—28no—
875#123—28no—
876#123—216no—
877#123—28no—
878#123—48no—
879#123—48no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—84no—
893C22⋊Q8—84no—
894#121—24no—
895#121—28no—
896#121—28no—
897#121—24no—
898#121—24no—
899#121—48no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—48no—
905C4×Q8—48no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—84no—
926C4×D4#4118yes—
927#117—28no—
928#117—24no—
929#117—28no—
930#117—24no—
931#117—28no—
932#117—24no—
933#117—28no—
934#117—28no—
935#117—48no—
936#117—48no—
937#117—44no—
938#117—84no—
939#117—82no—
940#117—82no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—48no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C42—28no—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—44no—
1076C2×C42—44no—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2512yes—
1188C24C2511yescharacteristic
1189#41—416no—
1190#41—816no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—28no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8H(5,𝔽2)14yes—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4C2×#4114yes—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4C2×#4118yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—41no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C4⋊C4C2×#4114yes—
1382C4⋊C4C2×#4118yes—
1383C4⋊C4C2×#4118yes—
1384C4⋊C42−1+414yes—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—41no—
1420C22⋊C4—42no—
1421C22⋊C4—41no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4C2×#4118yes—
1434C22⋊C42−1+414yes—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—28no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—24no—
1451C42—28no—
1452C42—28no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—42no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—41no—
1473C42C2×#4114yes—
1474C42C2×#4114yes—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23C22×#4114yes—
1502C23C2×2−1+412yes—
1503C23C2611yescharacteristic
1504Q8—28no—
1505Q8—44no—
1506Q8—48no—
1507Q8—88no—
1508Q8—88no—
1509D4—28no—
1510D4—44no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—44no—
1515D4—84no—
1516D4—88no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—216no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—48no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—84no—
1607C2×C4—88no—
1608C2×C4—84no—
1609C2×C4—88no—
1610C2×C4C22×#4114yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4114yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×2−1+414yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C22—22no—
1627C22—24no—
1628C22—22no—
1629C22—24no—
1630C22—22no—
1631C22—24no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22C23×#4111yescharacteristic
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22H(7,𝔽2)11yescharacteristic
1661C4—24no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—24no—
1666C4—22no—
1667C4—24no—
1668C4—22no—
1669C4—24no—
1670C4—24no—
1671C4—42no—
1672C4—44no—
1673C4—44no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—41no—
1689C4—41no—
1690C4#348214yes—
1691C4#349414yes—
1692C2—42no—
1693C2—44no—
1694C2—82no—
1695C2—81no—
1696C2C2×#348211yescharacteristic
1697C2C2×#349411yescharacteristic
1698C2#6280511yescharacteristic
1699C2#6295211yescharacteristic
1700C2#6298611yescharacteristic
1701C2#6300011yescharacteristic
1702C2#6301611yescharacteristic
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. #59994C2semidirect
2. #59681C2semidirect
3. #59479C2semidirect
4. #59291C2semidirect
5. #59234C2semidirect
6. #59218C2semidirect
7. #59098C2semidirect
8. #59040C2semidirect
9. #45178C2semidirect
10. #44973C2semidirect
11. #44440C2semidirect
12. #44287C2semidirect
13. #40078C2semidirect
14. #40070C2semidirect
15. #39369C2semidirect
16. #38920C2semidirect
17. #38884C2semidirect
18. #37980C2semidirect
19. #36491C2semidirect
20. #36481C2semidirect
21. #36368C2semidirect
22. #36297C2semidirect
23. #36259C2semidirect
24. #36194C2semidirect
25. #36134C2semidirect
26. #36133C2semidirect
27. #36000C2semidirect
28. #35828C2semidirect
29. #34929C2semidirect
30. #34724C2semidirect
31. #34316C2semidirect
32. #34272C2semidirect
33. #34243C2semidirect
34. C4×#553C2semidirect
35. #34129C2semidirect
871. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599942
#596812
#594792
#592912
#592342
#592182
#590982
#590402
#451782
#449732
#444402
#442872
#400782
#400702
#393692
#389202
#388842
#379802
#364912
#364812
#363682
#362972
#362592
#361942
#361342
#361332
#360002
#358282
#349292
#347242
#343162
#342722
#342432
C4×#5532
#341292