Finite Group Databasebeta

← #7979674

Subgroups — #7979674

Order 512.

5339 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59691C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59056C211yesmaximal, characteristic, complemented
4#59049C211yesmaximal, characteristic, complemented
5#59019C212yesmaximal, complemented
6#51169C214yesmaximal, complemented
7#50847C214yesmaximal, complemented
8#45655C212yesmaximal, complemented
9#45647C212yesmaximal, complemented
10#45205C212yesmaximal, complemented
11#45064C212yesmaximal, complemented
12#44139C214yesmaximal, complemented
13#42759C212yesmaximal, complemented
14#42752C212yesmaximal, complemented
15#41975C214yesmaximal, complemented
16#39938C212yesmaximal, complemented
17#39926C212yesmaximal, complemented
18#39862C212yesmaximal, complemented
19#39533C212yesmaximal, complemented
20#39203C211yesmaximal, characteristic, complemented
21#39136C211yesmaximal, characteristic, complemented
22#37670C212yesmaximal, complemented
23#36287C211yesmaximal, characteristic, complemented
24#36211C212yesmaximal, complemented
25#36186C211yesmaximal, characteristic, complemented
26#36185C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28#36149C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35197C212yesmaximal, complemented
31#35171C211yesmaximal, characteristic, complemented
32#34936C211yesmaximal, characteristic, complemented
33#34700C211yesmaximal, characteristic, complemented
34#34391C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#552C2212yescomplemented
40C2×#540C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic, complemented
43C2×#529C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C22×C4×D4C2211yescharacteristic
47#2862C2211yescharacteristic, complemented
48#2859C2212yescomplemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2856C2212yes—
52#2856C2212yes—
53#2854C2212yes—
54#2854C2212yescomplemented
55#2850C2212yes—
56#2850C2212yescomplemented
57#2847C2212yes—
58#2829C2214yes—
59#2828C2214yes—
60#2803C2214yes—
61#2803C2214yescomplemented
62#2798C2214yescomplemented
63#2797C2214yescomplemented
64#2796C2214yescomplemented
65#2786C2214yescomplemented
66#2773C2214yescomplemented
67#2754C2214yescomplemented
68#2752C2214yes—
69#2748C2214yescomplemented
70#2743C2214yescomplemented
71#2733C2214yescomplemented
72#2727C2214yescomplemented
73#2714C2214yes—
74#2714C2214yes—
75#2711C2214yescomplemented
76#2707C2214yescomplemented
77#2706C2214yes—
78#2706C2214yes—
79#2705C2214yescomplemented
80#2705C2214yescomplemented
81#2703C2214yes—
82#2703C2214yes—
83#2699C2214yes—
84#2694C2214yescomplemented
85#2693C2214yes—
86#2685C2214yes—
87#2678C2214yes—
88#2678C2214yes—
89#2678C2214yes—
90#2673C2214yes—
91#2669C2214yes—
92#2668C2214yes—
93#2662C2214yescomplemented
94#2661C2214yescomplemented
95#2654C2214yescomplemented
96#2651C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2636C2214yescomplemented
100#2625C2212yescomplemented
101#2620C2212yescomplemented
102#2612C2214yescomplemented
103#2603C2214yescomplemented
104#2602C2214yescomplemented
105#2595C2214yescomplemented
106#2575C2214yescomplemented
107#2571C2212yescomplemented
108#2570C2212yescomplemented
109#2567C2211yescharacteristic, complemented
110#2566C2212yescomplemented
111#2563C2211yescharacteristic
112#2558C2214yes—
113#2556C2214yes—
114#2552C2211yescharacteristic, complemented
115#2548C2212yes—
116#2548C2212yescomplemented
117#2548C2211yescharacteristic, complemented
118#2544C2212yes—
119#2542C2211yescharacteristic
120#2542C2211yescharacteristic
121#2541C2212yes—
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic
124#2541C2212yescomplemented
125#2541C2211yescharacteristic, complemented
126#2540C2212yes—
127#2540C2212yes—
128#2540C2212yes—
129#2540C2212yescomplemented
130#2539C2214yes—
131#2538C2212yescomplemented
132#2538C2212yescomplemented
133#2537C2211yescharacteristic
134#2535C2212yes—
135#2535C2214yescomplemented
136#2521C2214yescomplemented
137#2521C2214yescomplemented
138#2519C2214yescomplemented
139#2513C2212yes—
140#2513C2212yes—
141#2513C2212yescomplemented
142#2513C2214yescomplemented
143#2513C2214yescomplemented
144#2512C2212yes—
145#2506C2212yescomplemented
146#2506C2212yescomplemented
147#2501C2212yes—
148#2500C2212yes—
149#2500C2212yescomplemented
150#2499C2212yescomplemented
151#2498C2214yescomplemented
152#2497C2212yes—
153#2490C2214yescomplemented
154#2490C2214yescomplemented
155#2490C2214yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2485C2212yes—
161#2480C2212yes—
162#2472C2214yes—
163#2471C2214yes—
164#2471C2214yescomplemented
165#2468C2212yes—
166#2467C2214yescomplemented
167#2466C2214yescomplemented
168#2464C2214yescomplemented
169#2460C2214yescomplemented
170#2459C2214yes—
171#2457C2212yes—
172#2457C2214yescomplemented
173#2457C2214yescomplemented
174#2454C2211yescharacteristic
175#2448C2212yescomplemented
176#2447C2211yescharacteristic
177#2447C2212yescomplemented
178#2447C2212yescomplemented
179#2445C2212yes—
180#2445C2214yescomplemented
181#2444C2214yescomplemented
182#2442C2211yescharacteristic
183#2441C2212yes—
184#2441C2212yescomplemented
185#2435C2211yescharacteristic
186#2433C2212yes—
187#2431C2212yes—
188#2431C2214yescomplemented
189#2430C2214yescomplemented
190#2428C2212yes—
191#2428C2212yes—
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2427C2212yes—
195#2427C2211yescharacteristic
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yes—
201#2425C2214yescomplemented
202#2423C2212yes—
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2420C2214yescomplemented
210#2420C2212yescomplemented
211#2418C2212yes—
212#2417C2211yescharacteristic
213#2417C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yescomplemented
220#2414C2214yescomplemented
221#2414C2212yescomplemented
222#2408C2212yes—
223#2408C2211yescharacteristic
224#2407C2212yes—
225#2407C2212yes—
226#2397C2214yes—
227#2395C2212yes—
228#2392C2212yes—
229#2375C2214yes—
230#2375C2214yes—
231#2374C2212yes—
232#2373C2212yescomplemented
233#2370C2212yescomplemented
234#2370C2211yescharacteristic, complemented
235#2369C2211yescharacteristic, complemented
236#2367C2212yescomplemented
237#2365C2211yescharacteristic, complemented
238#2364C2212yes—
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2214yescomplemented
245#2363C2212yescomplemented
246#2362C2212yescomplemented
247#2362C2212yescomplemented
248#2362C2212yescomplemented
249#2361C2211yescharacteristic, complemented
250#2357C2211yescharacteristic, complemented
251#2357C2214yescomplemented
252#2354C2211yescharacteristic
253#2353C2214yescomplemented
254#2353C2212yescomplemented
255#2352C2212yes—
256#2352C2211yescharacteristic
257Q8×C4⋊C4C2211yescharacteristic, complemented
258#2349C2212yescomplemented
259#2347C2211yescharacteristic
260#2346C2212yes—
261#2345C2211yescharacteristic, complemented
262#2341C2212yes—
263#2339C2212yes—
264#2339C2212yescomplemented
265#2335C2214yes—
266#2335C2214yes—
267#2328C2214yescomplemented
268#2324C2212yescomplemented
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2323C2212yescomplemented
272#2323C2212yescomplemented
273#2319C2214yescomplemented
274#2318C2214yescomplemented
275C4×#127C2212yes—
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic, complemented
278C4×#125C2211yescharacteristic, complemented
279C4×#126C2212yescomplemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic, complemented
287C4×#120C2212yes—
288#2295C2212yescomplemented
289#2293C2211yescharacteristic
290#2285C2212yescomplemented
291#2285C2212yescomplemented
292#2280C2212yes—
293#2280C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—44no—
304#555—44no—
305#553—28no—
306#552—48no—
307#540—48no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#127C2312yes—
317#529—44no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334#525—216no—
335#525—48no—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4—44no—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2314yes—
424C2×#117C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C22⋊C4C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2312yes—
432C22×C42C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#383C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#379C2312yes—
756#379C2314yes—
757#379C2312yes—
758#379C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815#376C2314yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—42no—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4—28no—
857C23×C4—44no—
858C23×C4—44no—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880#127—24no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—48no—
885#126—28no—
886#126—44no—
887#126—48no—
888#126—48no—
889#125—24no—
890#125—28no—
891#125—42no—
892#125—48no—
893#125—84no—
894#124—42no—
895#124—44no—
896#124—42no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—48no—
901#123—216no—
902#123—28no—
903#123—48no—
904#123—48no—
905#123—44no—
906#123—48no—
907#123—48no—
908#123—84no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—82no—
918#121—24no—
919#121—28no—
920#121—28no—
921#121—24no—
922#121—28no—
923#121—28no—
924#121—48no—
925#121—44no—
926#121—42no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—42no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—48no—
940#121—84no—
941#121—84no—
942#121—84no—
943#120—216no—
944#120—48no—
945#120—44no—
946#120—84no—
947C4×Q8—24no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—216no—
955C4×D4—216no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—82no—
980#117—24no—
981#117—44no—
982#117—44no—
983#117—44no—
984#117—48no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117#4118yescomplemented
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—42no—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C22⋊C4—44no—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42—44no—
1126C2×C42—44no—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2412yes—
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2514yes—
1226C24C2511yescharacteristic
1227C24C2511yescharacteristic
1228#41—816no—
1229#41—816no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—41no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—416no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—28no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—42no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—41no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—816no—
1363C22×C4C2×#4114yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4C2×#4114yes—
1447C4⋊C4C2×#4114yes—
1448C4⋊C4H(5,𝔽2)14yes—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—42no—
1486C22⋊C4—41no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4C2×#4118yes—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—22no—
1532C42—24no—
1533C42—24no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—24no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—42no—
1548C42—41no—
1549C42—41no—
1550C42—44no—
1551C42—42no—
1552C42—44no—
1553C42C2×#4118yes—
1554C42H(5,𝔽2)14yes—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—24no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—48no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23C22×#4112yes—
1603C23#58512yes—
1604C23C2611yescharacteristic
1605Q8—48no—
1606Q8—44no—
1607Q8—84no—
1608D4—48no—
1609D4—48no—
1610D4—44no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—48no—
1615D4—44no—
1616D4—44no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—88no—
1624D4—88no—
1625D4—88no—
1626D4—164no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—28no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—48no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—84no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—82no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—84no—
1723C2×C4—88no—
1724C2×C4—164no—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4114yes—
1727C2×C4C22×#4114yes—
1728C2×C4C22×#4112yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)14yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—44no—
1769C22—42no—
1770C22—44no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—816no—
1779C22C23×#4111yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22C2×#58511yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C4—24no—
1787C4—24no—
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—41no—
1805C4—41no—
1806C4—44no—
1807C4—42no—
1808C4—42no—
1809C4—41no—
1810C4—41no—
1811C4—44no—
1812C4—42no—
1813C4#350814yes—
1814C4#353914yes—
1815C2—42no—
1816C2—42no—
1817C2—82no—
1818C2—84no—
1819C2—82no—
1820C2—82no—
1821C2C2×#353911yescharacteristic
1822C2C2×#350811yescharacteristic
1823C2#6281611yescharacteristic
1824C2#6292311yescharacteristic
1825C2#6292411yescharacteristic
1826C2#6299411yescharacteristic
1827C2#6301811yescharacteristic
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. #59691C2semidirect
2. #59646C2semidirect
3. #59056C2semidirect
4. #59049C2semidirect
5. #59019C2semidirect
6. #51169C2semidirect
7. #50847C2semidirect
8. #45655C2semidirect
9. #45647C2semidirect
10. #45205C2semidirect
11. #45064C2semidirect
12. #44139C2semidirect
13. #42759C2semidirect
14. #42752C2semidirect
15. #41975C2semidirect
16. #39938C2semidirect
17. #39926C2semidirect
18. #39862C2semidirect
19. #39533C2semidirect
20. #39203C2semidirect
21. #39136C2semidirect
22. #37670C2semidirect
23. #36287C2semidirect
24. #36211C2semidirect
25. #36186C2semidirect
26. #36185C2semidirect
27. #36160C2semidirect
28. #36149C2semidirect
29. #35238C2semidirect
30. #35197C2semidirect
31. #35171C2semidirect
32. #34936C2semidirect
33. #34700C2semidirect
34. #34391C2semidirect
35. C4×#553C2semidirect
36. C2×#556C22semidirect
39. C2×#552C22semidirect
40. C2×#540C22semidirect
42. C2×#532C22semidirect
47. #2862C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
54. #2854C22semidirect
56. #2850C22semidirect
61. #2803C22semidirect
62. #2798C22semidirect
63. #2797C22semidirect
64. #2796C22semidirect
65. #2786C22semidirect
66. #2773C22semidirect
67. #2754C22semidirect
69. #2748C22semidirect
70. #2743C22semidirect
71. #2733C22semidirect
72. #2727C22semidirect
75. #2711C22semidirect
76. #2707C22semidirect
79. #2705C22semidirect
80. #2705C22semidirect
84. #2694C22semidirect
93. #2662C22semidirect
94. #2661C22semidirect
95. #2654C22semidirect
96. #2651C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
99. #2636C22semidirect
100. #2625C22semidirect
101. #2620C22semidirect
102. #2612C22semidirect
103. #2603C22semidirect
104. #2602C22semidirect
105. #2595C22semidirect
106. #2575C22semidirect
107. #2571C22semidirect
108. #2570C22semidirect
109. #2567C22semidirect
110. #2566C22semidirect
114. #2552C22semidirect
116. #2548C22semidirect
117. #2548C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
129. #2540C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
135. #2535C22semidirect
136. #2521C22semidirect
137. #2521C22semidirect
138. #2519C22semidirect
141. #2513C22semidirect
142. #2513C22semidirect
143. #2513C22semidirect
145. #2506C22semidirect
146. #2506C22semidirect
149. #2500C22semidirect
150. #2499C22semidirect
151. #2498C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
164. #2471C22semidirect
166. #2467C22semidirect
167. #2466C22semidirect
168. #2464C22semidirect
169. #2460C22semidirect
172. #2457C22semidirect
173. #2457C22semidirect
175. #2448C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
184. #2441C22semidirect
188. #2431C22semidirect
189. #2430C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
201. #2425C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
213. #2417C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
232. #2373C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
236. #2367C22semidirect
237. #2365C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2362C22semidirect
247. #2362C22semidirect
248. #2362C22semidirect
249. #2361C22semidirect
250. #2357C22semidirect
251. #2357C22semidirect
253. #2353C22semidirect
254. #2353C22semidirect
257. Q8×C4⋊C4C22semidirect
258. #2349C22semidirect
261. #2345C22semidirect
264. #2339C22semidirect
267. #2328C22semidirect
268. #2324C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2323C22semidirect
272. #2323C22semidirect
273. #2319C22semidirect
274. #2318C22semidirect
277. C4×#127C22semidirect
278. C4×#125C22semidirect
279. C4×#126C22semidirect
286. C4×#121C22semidirect
288. #2295C22semidirect
290. #2285C22semidirect
291. #2285C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
988. #117#41semidirect

Maximal subgroups

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

subgroupindex
#596912
#596462
#590562
#590492
#590192
#511692
#508472
#456552
#456472
#452052
#450642
#441392
#427592
#427522
#419752
#399382
#399262
#398622
#395332
#392032
#391362
#376702
#362872
#362112
#361862
#361852
#361602
#361492
#352382
#351972
#351712
#349362
#347002
#343912
C4×#5532