Finite Group Databasebeta

← #7712471

Subgroups — #7712471

Order 512.

5824 conjugacy classes of subgroups.

The subgroup lattice has 1699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60010C214yesmaximal, complemented
2#59091C214yesmaximal, complemented
3#46090C212yesmaximal, complemented
4#46089C212yesmaximal, complemented
5#45962C212yesmaximal, complemented
6#45947C212yesmaximal, complemented
7#39555C212yesmaximal, complemented
8#39500C211yesmaximal, characteristic, complemented
9#39493C211yesmaximal, characteristic, complemented
10#39419C212yesmaximal, complemented
11#39381C211yesmaximal, characteristic, complemented
12#39355C211yesmaximal, characteristic, complemented
13#38831C212yesmaximal, complemented
14#38768C212yesmaximal, complemented
15#38487C212yesmaximal, complemented
16#38424C212yesmaximal, complemented
17#38334C214yesmaximal, complemented
18#38174C214yesmaximal, complemented
19#37570C212yesmaximal, complemented
20#37351C212yesmaximal, complemented
21#37334C212yesmaximal, complemented
22#36639C211yesmaximal, characteristic, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36606C212yesmaximal, complemented
25#36148C212yesmaximal, complemented
26#36123C212yesmaximal, complemented
27#36096C212yesmaximal, complemented
28#35260C212yesmaximal, complemented
29#35252C212yesmaximal, complemented
30#34495C212yesmaximal, complemented
31C2×#2293C211yesmaximal, characteristic, complemented
32C2×#546C2212yes—
33C2×#546C2214yescomplemented
34C2×#542C2212yescomplemented
35C2×#535C2212yescomplemented
36C2×#533C2211yescharacteristic, complemented
37C2×#532C2211yescharacteristic
38C2×#529C2212yescomplemented
39C2×#525C2212yes—
40C22×#121C2212yescomplemented
41C22×C4×D4C2211yescharacteristic
42C22×#117C2212yescomplemented
43#2862C2211yescharacteristic, complemented
44#2862C2211yescharacteristic, complemented
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2861C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2859C2211yescharacteristic, complemented
51#2858C2211yescharacteristic, complemented
52#2858C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2857C2211yescharacteristic, complemented
55#2856C2211yescharacteristic
56#2856C2212yes—
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2850C2212yescomplemented
61#2850C2212yescomplemented
62#2850C2212yescomplemented
63#2850C2212yescomplemented
64#2850C2212yescomplemented
65#2848C2212yescomplemented
66#2847C2212yes—
67#2837C2214yescomplemented
68#2828C2214yescomplemented
69#2808C2212yescomplemented
70#2808C2212yescomplemented
71#2806C2212yescomplemented
72#2805C2212yescomplemented
73#2804C2212yes—
74#2803C2214yescomplemented
75#2800C2214yescomplemented
76#2788C2214yescomplemented
77#2781C2214yescomplemented
78#2781C2214yescomplemented
79#2779C2214yescomplemented
80#2772C2214yescomplemented
81#2768C2214yescomplemented
82#2753C2214yescomplemented
83#2753C2214yescomplemented
84#2733C2212yescomplemented
85#2733C2212yescomplemented
86#2733C2212yescomplemented
87#2733C2214yescomplemented
88#2732C2212yes—
89#2732C2212yescomplemented
90#2730C2214yescomplemented
91#2727C2212yescomplemented
92#2715C2214yescomplemented
93#2714C2214yescomplemented
94#2710C2214yescomplemented
95#2703C2214yescomplemented
96#2702C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2684C2214yescomplemented
100#2682C2212yescomplemented
101#2682C2212yescomplemented
102#2682C2212yescomplemented
103#2679C2212yes—
104#2679C2212yes—
105#2678C2214yescomplemented
106#2672C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2661C2214yescomplemented
110#2649C2214yescomplemented
111#2648C2214yescomplemented
112#2648C2214yescomplemented
113#2628C2212yescomplemented
114#2625C2212yescomplemented
115#2624C2212yescomplemented
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2620C2212yescomplemented
119#2619C2212yescomplemented
120#2619C2212yescomplemented
121#2602C2214yescomplemented
122#2595C2214yescomplemented
123#2593C2214yescomplemented
124#2591C2214yescomplemented
125#2589C2214yescomplemented
126#2587C2214yescomplemented
127#2570C2212yescomplemented
128#2559C2214yescomplemented
129#2558C2214yescomplemented
130#2558C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2214yescomplemented
133#2554C2214yescomplemented
134#2544C2212yescomplemented
135#2543C2214yescomplemented
136#2540C2212yescomplemented
137#2539C2214yescomplemented
138#2535C2212yescomplemented
139#2516C2214yescomplemented
140#2513C2212yescomplemented
141#2511C2212yescomplemented
142#2491C2212yescomplemented
143#2491C2212yescomplemented
144#2481C2214yescomplemented
145#2479C2214yescomplemented
146#2477C2214yescomplemented
147#2476C2214yescomplemented
148#2474C2214yescomplemented
149#2472C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2470C2214yescomplemented
155#2465C2214yescomplemented
156#2464C2214yes—
157#2464C2214yescomplemented
158#2460C2214yescomplemented
159#2460C2214yescomplemented
160#2459C2214yescomplemented
161#2459C2214yescomplemented
162#2458C2214yescomplemented
163#2456C2214yescomplemented
164#2450C2214yescomplemented
165#2449C2214yescomplemented
166#2448C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2433C2212yescomplemented
174#2432C2212yescomplemented
175#2430C2214yescomplemented
176#2429C2212yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2426C2212yescomplemented
180#2426C2214yescomplemented
181#2424C2214yes—
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2422C2212yescomplemented
185#2421C2212yescomplemented
186#2418C2214yes—
187#2418C2214yescomplemented
188#2417C2212yescomplemented
189#2416C2214yescomplemented
190#2416C2214yescomplemented
191#2414C2212yes—
192#2414C2214yescomplemented
193#2414C2214yescomplemented
194#2411C2214yescomplemented
195#2411C2214yescomplemented
196#2411C2214yescomplemented
197#2410C2214yescomplemented
198#2410C2214yescomplemented
199#2410C2214yescomplemented
200#2408C2212yescomplemented
201#2407C2212yes—
202#2403C2214yes—
203#2376C2214yescomplemented
204#2375C2214yes—
205#2374C2214yescomplemented
206#2367C2214yescomplemented
207#2367C2212yescomplemented
208#2364C2214yescomplemented
209#2363C2214yescomplemented
210#2362C2212yescomplemented
211#2361C2212yescomplemented
212#2359C2214yescomplemented
213#2358C2214yescomplemented
214#2358C2214yescomplemented
215#2357C2212yescomplemented
216#2352C2212yes—
217#2342C2214yescomplemented
218#2341C2212yescomplemented
219D4×C22⋊C4C2214yescomplemented
220D4×C22⋊C4C2212yescomplemented
221#2335C2214yescomplemented
222#2333C2214yescomplemented
223#2324C2212yescomplemented
224#2323C2212yescomplemented
225#2321C2214yes—
226#2317C2212yescomplemented
227#2314C2212yescomplemented
228#2312C2214yescomplemented
229#2311C2212yescomplemented
230#2309C2212yescomplemented
231C4×C4⋊Q8C2211yescharacteristic, complemented
232C4×#127C2211yescharacteristic, complemented
233C4×#124C2212yescomplemented
234C4×#124C2212yescomplemented
235C4×#124C2212yescomplemented
236C4×#124C2212yescomplemented
237C4×#124C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242#2297C2212yescomplemented
243#2297C2212yescomplemented
244#2293C2211yescharacteristic
245#2293C2211yescharacteristic
246#2293C2211yescharacteristic
247#2293C2211yescharacteristic
248#2293C2212yescomplemented
249#2293C2212yescomplemented
250#2293C2211yescharacteristic, complemented
251#2293C2212yescomplemented
252#2293C2212yescomplemented
253#2293C2211yescharacteristic, complemented
254#2293C2211yescharacteristic, complemented
255#2293C2212yescomplemented
256#2293C2211yescharacteristic, complemented
257#2293C2212yescomplemented
258C2×#390C2211yescharacteristic
259C2×#390C2211yescharacteristic
260C2×#389C2211yescharacteristic, complemented
261C2×#389C2211yescharacteristic, complemented
262C2×#388C2212yescomplemented
263C2×#388C2212yescomplemented
264C2×C4×C4⋊C4C2211yescharacteristic, complemented
265C2×C4×C22⋊C4C2212yescomplemented
266C2×C43C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×D4C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272C24×C4C2312yes—
273#546—216no—
274#546—416no—
275#542—48no—
276#535—48no—
277#533—44no—
278#532—44no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286#529—48no—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302#525—48no—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×#121—48no—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4—28no—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117—48no—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2311yescharacteristic
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
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#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#381C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C43C2311yescharacteristic
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2412yes—
746C25C2414yes—
747C2×#41—28no—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8C2412yes—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×D4—24no—
758C22×D4—28no—
759C22×D4—42no—
760C22×D4—44no—
761C22×D4—44no—
762C22×D4—42no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2411yescharacteristic
786C23×C4—28no—
787C23×C4—28no—
788C23×C4—44no—
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C4⋊Q8—24no—
809C4⋊Q8—42no—
810C4⋊Q8—42no—
811C4⋊Q8—42no—
812#127—24no—
813#127—42no—
814#127—44no—
815#126—48no—
816#126—48no—
817#125—44no—
818#125—44no—
819#124—28no—
820#124—28no—
821#124—44no—
822#124—44no—
823#124—44no—
824#124—44no—
825#124—44no—
826#124—44no—
827#124—48no—
828#124—48no—
829#124—48no—
830#123—216no—
831#123—216no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836C22⋊Q8—28no—
837C22⋊Q8—28no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—48no—
841C22⋊Q8—48no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844#121—28no—
845#121—28no—
846#121—28no—
847#121—216no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—48no—
858#121—44no—
859#121—48no—
860#121—44no—
861#121—44no—
862#121—48no—
863#120—216no—
864#120—48no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—48no—
887C4×D4—48no—
888C4×D4—48no—
889C4×D4—48no—
890C4×D4—48no—
891C4×D4#4118yescomplemented
892#117—28no—
893#117—28no—
894#117—44no—
895#117—44no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—48no—
901#117—44no—
902#117—44no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C22⋊C4—28no—
956C2×C22⋊C4—28no—
957C2×C22⋊C4—216no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—48no—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—24no—
1032C2×C42—24no—
1033C2×C42—44no—
1034C2×C42—42no—
1035C2×C42—42no—
1036C2×C42—42no—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—28no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24C2514yes—
1130C24C2512yes—
1131C24C2514yes—
1132C24C2512yes—
1133C24C2511yescharacteristic
1134#41—816no—
1135#41—816no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—416no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—816no—
1209C2×D4—832no—
1210C2×D4C2×#4114yes—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—432no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4C2×#4118yes—
1267C22×C4H(5,𝔽2)14yes—
1268C22×C4H(5,𝔽2)14yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4C2×#4114yes—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4C2×#4118yes—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—41no—
1429C42—41no—
1430C42—41no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42—41no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42C2×#4114yes—
1444C42H(5,𝔽2)14yes—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—24no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—22no—
1476C23—48no—
1477C23—48no—
1478C23—48no—
1479C23—48no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—164no—
1489C23—164no—
1490C23C22×#4114yes—
1491C23C2×H(5,𝔽2)12yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23#58512yes—
1494C23C2611yescharacteristic
1495Q8—48no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499D4—44no—
1500D4—48no—
1501D4—44no—
1502D4—416no—
1503D4—416no—
1504D4—48no—
1505D4—48no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—88no—
1510D4—84no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—164no—
1517D4—164no—
1518D4—164no—
1519C2×C4—28no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—216no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—164no—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4112yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—44no—
1635C22—42no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—44no—
1648C22—44no—
1649C22—42no—
1650C22—816no—
1651C22—1616no—
1652C22#355814yes—
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—24no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—44no—
1671C4—44no—
1672C4—41no—
1673C4—44no—
1674C4—42no—
1675C4—44no—
1676C4—41no—
1677C4—44no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—44no—
1685C4#351914yes—
1686C2—24no—
1687C2—44no—
1688C2—82no—
1689C2—84no—
1690C2—84no—
1691C2C2×#355811yescharacteristic
1692C2#6274811yescharacteristic
1693C2C2×#351911yescharacteristic
1694C2#6280011yescharacteristic
1695C2#6281411yescharacteristic
1696C2#6283011yescharacteristic
1697C2#6283411yescharacteristic
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. #60010C2semidirect
2. #59091C2semidirect
3. #46090C2semidirect
4. #46089C2semidirect
5. #45962C2semidirect
6. #45947C2semidirect
7. #39555C2semidirect
8. #39500C2semidirect
9. #39493C2semidirect
10. #39419C2semidirect
11. #39381C2semidirect
12. #39355C2semidirect
13. #38831C2semidirect
14. #38768C2semidirect
15. #38487C2semidirect
16. #38424C2semidirect
17. #38334C2semidirect
18. #38174C2semidirect
19. #37570C2semidirect
20. #37351C2semidirect
21. #37334C2semidirect
22. #36639C2semidirect
23. #36631C2semidirect
24. #36606C2semidirect
25. #36148C2semidirect
26. #36123C2semidirect
27. #36096C2semidirect
28. #35260C2semidirect
29. #35252C2semidirect
30. #34495C2semidirect
31. C2×#2293C2semidirect
33. C2×#546C22semidirect
34. C2×#542C22semidirect
35. C2×#535C22semidirect
36. C2×#533C22semidirect
38. C2×#529C22semidirect
40. C22×#121C22semidirect
42. C22×#117C22semidirect
43. #2862C22semidirect
44. #2862C22semidirect
45. #2861C22semidirect
46. #2861C22semidirect
47. #2861C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
50. #2859C22semidirect
51. #2858C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2850C22semidirect
61. #2850C22semidirect
62. #2850C22semidirect
63. #2850C22semidirect
64. #2850C22semidirect
65. #2848C22semidirect
67. #2837C22semidirect
68. #2828C22semidirect
69. #2808C22semidirect
70. #2808C22semidirect
71. #2806C22semidirect
72. #2805C22semidirect
74. #2803C22semidirect
75. #2800C22semidirect
76. #2788C22semidirect
77. #2781C22semidirect
78. #2781C22semidirect
79. #2779C22semidirect
80. #2772C22semidirect
81. #2768C22semidirect
82. #2753C22semidirect
83. #2753C22semidirect
84. #2733C22semidirect
85. #2733C22semidirect
86. #2733C22semidirect
87. #2733C22semidirect
89. #2732C22semidirect
90. #2730C22semidirect
91. #2727C22semidirect
92. #2715C22semidirect
93. #2714C22semidirect
94. #2710C22semidirect
95. #2703C22semidirect
96. #2702C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2684C22semidirect
100. #2682C22semidirect
101. #2682C22semidirect
102. #2682C22semidirect
105. #2678C22semidirect
106. #2672C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2661C22semidirect
110. #2649C22semidirect
111. #2648C22semidirect
112. #2648C22semidirect
113. #2628C22semidirect
114. #2625C22semidirect
115. #2624C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2619C22semidirect
120. #2619C22semidirect
121. #2602C22semidirect
122. #2595C22semidirect
123. #2593C22semidirect
124. #2591C22semidirect
125. #2589C22semidirect
126. #2587C22semidirect
127. #2570C22semidirect
128. #2559C22semidirect
129. #2558C22semidirect
130. #2558C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2554C22semidirect
134. #2544C22semidirect
135. #2543C22semidirect
136. #2540C22semidirect
137. #2539C22semidirect
138. #2535C22semidirect
139. #2516C22semidirect
140. #2513C22semidirect
141. #2511C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
144. #2481C22semidirect
145. #2479C22semidirect
146. #2477C22semidirect
147. #2476C22semidirect
148. #2474C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
154. #2470C22semidirect
155. #2465C22semidirect
157. #2464C22semidirect
158. #2460C22semidirect
159. #2460C22semidirect
160. #2459C22semidirect
161. #2459C22semidirect
162. #2458C22semidirect
163. #2456C22semidirect
164. #2450C22semidirect
165. #2449C22semidirect
166. #2448C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
173. #2433C22semidirect
174. #2432C22semidirect
175. #2430C22semidirect
176. #2429C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2422C22semidirect
185. #2421C22semidirect
187. #2418C22semidirect
188. #2417C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2411C22semidirect
195. #2411C22semidirect
196. #2411C22semidirect
197. #2410C22semidirect
198. #2410C22semidirect
199. #2410C22semidirect
200. #2408C22semidirect
203. #2376C22semidirect
205. #2374C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
208. #2364C22semidirect
209. #2363C22semidirect
210. #2362C22semidirect
211. #2361C22semidirect
212. #2359C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2357C22semidirect
217. #2342C22semidirect
218. #2341C22semidirect
219. D4×C22⋊C4C22semidirect
220. D4×C22⋊C4C22semidirect
221. #2335C22semidirect
222. #2333C22semidirect
223. #2324C22semidirect
224. #2323C22semidirect
226. #2317C22semidirect
227. #2314C22semidirect
228. #2312C22semidirect
229. #2311C22semidirect
230. #2309C22semidirect
231. C4×C4⋊Q8C22semidirect
232. C4×#127C22semidirect
233. C4×#124C22semidirect
234. C4×#124C22semidirect
235. C4×#124C22semidirect
236. C4×#124C22semidirect
237. C4×#124C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. #2297C22semidirect
243. #2297C22semidirect
248. #2293C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
252. #2293C22semidirect
253. #2293C22semidirect
254. #2293C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
257. #2293C22semidirect
260. C2×#389C22semidirect
261. C2×#389C22semidirect
262. C2×#388C22semidirect
263. C2×#388C22semidirect
264. C2×C4×C4⋊C4C22semidirect
265. C2×C4×C22⋊C4C22semidirect
266. C2×C43C22semidirect
891. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600102
#590912
#460902
#460892
#459622
#459472
#395552
#395002
#394932
#394192
#393812
#393552
#388312
#387682
#384872
#384242
#383342
#381742
#375702
#373512
#373342
#366392
#366312
#366062
#361482
#361232
#360962
#352602
#352522
#344952
C2×#22932