Finite Group Databasebeta

← #8425244

Subgroups — #8425244

Order 512.

5412 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C212yesmaximal, complemented
2#59451C211yesmaximal, characteristic, complemented
3#59066C211yesmaximal, characteristic, complemented
4#59064C211yesmaximal, characteristic, complemented
5#58999C212yesmaximal, complemented
6#55224C214yesmaximal, complemented
7#55165C214yesmaximal, complemented
8#53066C212yesmaximal, complemented
9#53060C212yesmaximal, complemented
10#53000C212yesmaximal, complemented
11#52969C212yesmaximal, complemented
12#52632C214yesmaximal, complemented
13#42759C212yesmaximal, complemented
14#42652C212yesmaximal, complemented
15#42603C212yesmaximal, complemented
16#42576C212yesmaximal, complemented
17#41287C214yesmaximal, complemented
18#40141C212yesmaximal, complemented
19#39861C212yesmaximal, complemented
20#39745C211yesmaximal, characteristic, complemented
21#39735C211yesmaximal, characteristic, complemented
22#39386C211yesmaximal, characteristic, complemented
23#39282C212yesmaximal, complemented
24#39137C211yesmaximal, characteristic, complemented
25#37670C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37455C212yesmaximal, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#36101C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yes—
39C2×#547C2212yescomplemented
40C2×#540C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic, complemented
43C2×#529C2211yescharacteristic
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2867C2211yescharacteristic, complemented
49#2860C2212yescomplemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2847C2212yes—
53#2836C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yes—
57#2828C2214yes—
58#2828C2214yescomplemented
59#2827C2214yescomplemented
60#2825C2214yes—
61#2815C2214yes—
62#2815C2214yes—
63#2813C2214yes—
64#2813C2214yescomplemented
65#2812C2214yes—
66#2812C2214yes—
67#2797C2214yescomplemented
68#2797C2214yescomplemented
69#2797C2214yescomplemented
70#2780C2214yescomplemented
71#2773C2214yescomplemented
72#2753C2214yescomplemented
73#2746C2214yescomplemented
74#2743C2214yescomplemented
75#2714C2214yescomplemented
76#2711C2214yescomplemented
77#2709C2214yes—
78#2708C2214yes—
79#2708C2214yes—
80#2706C2214yes—
81#2706C2214yescomplemented
82#2706C2214yescomplemented
83#2705C2214yescomplemented
84#2705C2214yescomplemented
85#2703C2214yes—
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2699C2214yes—
89#2693C2214yes—
90#2691C2214yescomplemented
91#2691C2214yescomplemented
92#2682C2214yescomplemented
93#2678C2214yes—
94#2678C2214yes—
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2671C2214yescomplemented
100#2669C2214yes—
101#2669C2214yes—
102#2668C2214yes—
103#2668C2214yes—
104#2661C2214yescomplemented
105#2657C2212yes—
106#2654C2214yescomplemented
107#2651C2214yescomplemented
108#2648C2214yescomplemented
109#2647C2212yescomplemented
110#2644C2212yes—
111#2636C2214yescomplemented
112#2635C2214yescomplemented
113#2630C2214yes—
114#2630C2214yes—
115#2630C2214yescomplemented
116#2630C2214yescomplemented
117#2625C2212yescomplemented
118#2623C2214yescomplemented
119#2621C2212yescomplemented
120#2620C2212yescomplemented
121#2620C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2619C2212yes—
125#2619C2212yes—
126#2619C2212yescomplemented
127#2600C2214yescomplemented
128#2600C2214yescomplemented
129#2600C2214yescomplemented
130#2596C2214yescomplemented
131#2571C2211yescharacteristic, complemented
132#2570C2212yescomplemented
133#2568C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2559C2214yes—
136#2548C2212yes—
137#2548C2212yescomplemented
138#2548C2211yescharacteristic, complemented
139#2547C2212yescomplemented
140#2546C2211yescharacteristic, complemented
141#2544C2212yes—
142#2544C2212yescomplemented
143#2543C2214yescomplemented
144#2542C2211yescharacteristic
145#2542C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2212yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2540C2212yes—
155#2540C2212yes—
156#2540C2212yescomplemented
157#2539C2214yes—
158#2538C2211yescharacteristic
159#2537C2212yescomplemented
160#2535C2212yescomplemented
161#2530C2212yescomplemented
162#2528C2212yescomplemented
163#2526C2214yescomplemented
164#2517C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yescomplemented
168#2512C2212yescomplemented
169#2511C2211yescharacteristic, complemented
170#2507C2212yescomplemented
171#2506C2211yescharacteristic, complemented
172#2504C2214yescomplemented
173#2501C2212yes—
174#2500C2212yes—
175#2500C2212yescomplemented
176#2499C2211yescharacteristic
177#2499C2212yescomplemented
178#2494C2211yescharacteristic, complemented
179#2490C2214yescomplemented
180#2489C2212yescomplemented
181#2489C2211yescharacteristic, complemented
182#2485C2211yescharacteristic
183#2480C2212yes—
184#2468C2212yes—
185#2464C2214yescomplemented
186#2460C2212yes—
187#2457C2212yes—
188#2457C2214yescomplemented
189#2456C2214yes—
190#2456C2214yescomplemented
191#2455C2214yescomplemented
192#2454C2211yescharacteristic
193#2454C2212yescomplemented
194#2448C2212yes—
195#2447C2211yescharacteristic
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2214yes—
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2444C2214yescomplemented
205#2443C2214yes—
206#2443C2214yescomplemented
207#2442C2211yescharacteristic
208#2441C2211yescharacteristic
209#2435C2211yescharacteristic
210#2433C2212yes—
211#2433C2212yes—
212#2432C2212yes—
213#2432C2212yescomplemented
214#2431C2212yes—
215#2431C2212yescomplemented
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2429C2212yescomplemented
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2427C2212yescomplemented
232#2426C2212yes—
233#2426C2212yescomplemented
234#2425C2214yescomplemented
235#2424C2214yes—
236#2423C2212yescomplemented
237#2422C2212yescomplemented
238#2422C2212yescomplemented
239#2421C2212yescomplemented
240#2420C2212yes—
241#2420C2212yes—
242#2420C2211yescharacteristic
243#2420C2214yescomplemented
244#2419C2214yescomplemented
245#2418C2212yes—
246#2417C2211yescharacteristic
247#2415C2211yescharacteristic
248#2414C2212yes—
249#2414C2212yescomplemented
250#2408C2211yescharacteristic
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2401C2212yes—
256#2397C2214yes—
257#2395C2212yes—
258#2395C2212yes—
259#2392C2212yes—
260#2366C2212yes—
261#2366C2212yescomplemented
262#2366C2212yescomplemented
263#2366C2211yescharacteristic, complemented
264#2366C2211yescharacteristic, complemented
265#2363C2212yes—
266#2362C2212yescomplemented
267#2361C2212yes—
268#2361C2214yescomplemented
269#2357C2212yescomplemented
270#2355C2212yescomplemented
271#2354C2211yescharacteristic
272Q8×C4⋊C4C2211yescharacteristic, complemented
273#2349C2212yescomplemented
274D4×C4⋊C4C2212yescomplemented
275#2339C2212yes—
276#2328C2212yescomplemented
277#2325C2214yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2212yes—
282C4×#127C2212yes—
283C4×#125C2211yescharacteristic, complemented
284C4×#125C2212yescomplemented
285C4×#124C2211yescharacteristic
286C4×#124C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic
291C4×#120C2212yes—
292#2298C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#559—44no—
305#550—44no—
306#550—48no—
307#547—48no—
308#540—48no—
309#532—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2314yes—
325C2×#127C2312yes—
326#529—44no—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339#525—48no—
340#525—48no—
341#525—48no—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#120C2312yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×D4—44no—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C22×C4⋊C4C2314yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441#401C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2312yes—
459#399C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#381C2314yes—
755#381C2312yes—
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2314yes—
775#380C2312yes—
776#379C2312yes—
777#379C2312yes—
778#379C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818#376C2312yes—
819C2×#95C2314yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—28no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C4⋊Q8—24no—
887C4⋊Q8—44no—
888#127—24no—
889#127—24no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—48no—
900#127—82no—
901#126—44no—
902#126—84no—
903#125—24no—
904#125—42no—
905#125—44no—
906#124—44no—
907#124—42no—
908#124—42no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—84no—
923C22⋊Q8—24no—
924C22⋊Q8—28no—
925C22⋊Q8—24no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—42no—
932#121—28no—
933#121—28no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—42no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—84no—
958#121—84no—
959#121—84no—
960#121—82no—
961#121—82no—
962#120—44no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×D4—24no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—42no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000#117—24no—
1001#117—24no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006C2×C4⋊C4—42no—
1007C2×C4⋊C4—48no—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—24no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2514yes—
1236C24C2514yes—
1237C24C2511yescharacteristic
1238#41—816no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×D4—22no—
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—28no—
1276C2×D4—42no—
1277C2×D4—41no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
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—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—416no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—28no—
1356C22×C4—24no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—44no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—816no—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—41no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4H(5,𝔽2)14yes—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—42no—
1569C42—42no—
1570C42—41no—
1571C42H(5,𝔽2)14yes—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—24no—
1583C23—22no—
1584C23—24no—
1585C23—21no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—24no—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—21no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—21no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—22no—
1611C23—21no—
1612C23—24no—
1613C23—48no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23C2×H(5,𝔽2)12yes—
1621C23C2611yescharacteristic
1622Q8—44no—
1623Q8—44no—
1624Q8—48no—
1625D4—44no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—44no—
1630D4—44no—
1631D4—48no—
1632D4—48no—
1633D4—88no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641D4—84no—
1642D4—88no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—28no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—44no—
1736C2×C4—88no—
1737C2×C4—82no—
1738C2×C4—82no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—164no—
1746C2×C4—164no—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)14yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4#58512yes—
1755C2×C4#58512yes—
1756C2×C4#58512yes—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—44no—
1773C22—44no—
1774C22—41no—
1775C22—44no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—41no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—41no—
1789C22—41no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—44no—
1794C22—44no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—816no—
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C4—22no—
1808C4—22no—
1809C4—24no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—41no—
1834C4#353914yes—
1835C4#354314yes—
1836C2—42no—
1837C2—81no—
1838C2—84no—
1839C2—84no—
1840C2—82no—
1841C2—82no—
1842C2C2×#353911yescharacteristic
1843C2C2×#354311yescharacteristic
1844C2#6274811yescharacteristic
1845C2#6292311yescharacteristic
1846C2#6295511yescharacteristic
1847C2#6295511yescharacteristic
1848C2#6302111yescharacteristic
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. #59647C2semidirect
2. #59451C2semidirect
3. #59066C2semidirect
4. #59064C2semidirect
5. #58999C2semidirect
6. #55224C2semidirect
7. #55165C2semidirect
8. #53066C2semidirect
9. #53060C2semidirect
10. #53000C2semidirect
11. #52969C2semidirect
12. #52632C2semidirect
13. #42759C2semidirect
14. #42652C2semidirect
15. #42603C2semidirect
16. #42576C2semidirect
17. #41287C2semidirect
18. #40141C2semidirect
19. #39861C2semidirect
20. #39745C2semidirect
21. #39735C2semidirect
22. #39386C2semidirect
23. #39282C2semidirect
24. #39137C2semidirect
25. #37670C2semidirect
26. #37628C2semidirect
27. #37616C2semidirect
28. #37587C2semidirect
29. #37455C2semidirect
30. #36460C2semidirect
31. #36128C2semidirect
32. #36101C2semidirect
33. #34936C2semidirect
34. #34793C2semidirect
35. #34700C2semidirect
36. C2×#559C22semidirect
39. C2×#547C22semidirect
40. C2×#540C22semidirect
42. C2×#532C22semidirect
48. #2867C22semidirect
49. #2860C22semidirect
51. #2856C22semidirect
53. #2836C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
58. #2828C22semidirect
59. #2827C22semidirect
64. #2813C22semidirect
67. #2797C22semidirect
68. #2797C22semidirect
69. #2797C22semidirect
70. #2780C22semidirect
71. #2773C22semidirect
72. #2753C22semidirect
73. #2746C22semidirect
74. #2743C22semidirect
75. #2714C22semidirect
76. #2711C22semidirect
81. #2706C22semidirect
82. #2706C22semidirect
83. #2705C22semidirect
84. #2705C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
90. #2691C22semidirect
91. #2691C22semidirect
92. #2682C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2671C22semidirect
104. #2661C22semidirect
106. #2654C22semidirect
107. #2651C22semidirect
108. #2648C22semidirect
109. #2647C22semidirect
111. #2636C22semidirect
112. #2635C22semidirect
115. #2630C22semidirect
116. #2630C22semidirect
117. #2625C22semidirect
118. #2623C22semidirect
119. #2621C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
126. #2619C22semidirect
127. #2600C22semidirect
128. #2600C22semidirect
129. #2600C22semidirect
130. #2596C22semidirect
131. #2571C22semidirect
132. #2570C22semidirect
133. #2568C22semidirect
134. #2566C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2547C22semidirect
140. #2546C22semidirect
142. #2544C22semidirect
143. #2543C22semidirect
156. #2540C22semidirect
159. #2537C22semidirect
160. #2535C22semidirect
161. #2530C22semidirect
162. #2528C22semidirect
163. #2526C22semidirect
167. #2513C22semidirect
168. #2512C22semidirect
169. #2511C22semidirect
170. #2507C22semidirect
171. #2506C22semidirect
172. #2504C22semidirect
175. #2500C22semidirect
177. #2499C22semidirect
178. #2494C22semidirect
179. #2490C22semidirect
180. #2489C22semidirect
181. #2489C22semidirect
185. #2464C22semidirect
188. #2457C22semidirect
190. #2456C22semidirect
191. #2455C22semidirect
193. #2454C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2444C22semidirect
206. #2443C22semidirect
213. #2432C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2429C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
231. #2427C22semidirect
233. #2426C22semidirect
234. #2425C22semidirect
236. #2423C22semidirect
237. #2422C22semidirect
238. #2422C22semidirect
239. #2421C22semidirect
243. #2420C22semidirect
244. #2419C22semidirect
249. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
261. #2366C22semidirect
262. #2366C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
266. #2362C22semidirect
268. #2361C22semidirect
269. #2357C22semidirect
270. #2355C22semidirect
272. Q8×C4⋊C4C22semidirect
273. #2349C22semidirect
274. D4×C4⋊C4C22semidirect
276. #2328C22semidirect
277. #2325C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. C4×C4⋊Q8C22semidirect
283. C4×#125C22semidirect
284. C4×#125C22semidirect
286. C4×#124C22semidirect
289. C4×C22⋊Q8C22semidirect
292. #2298C22semidirect
293. #2295C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#594512
#590662
#590642
#589992
#552242
#551652
#530662
#530602
#530002
#529692
#526322
#427592
#426522
#426032
#425762
#412872
#401412
#398612
#397452
#397352
#393862
#392822
#391372
#376702
#376282
#376162
#375872
#374552
#364602
#361282
#361012
#349362
#347932
#347002