Finite Group Databasebeta

← #8466941

Subgroups — #8466941

Order 512.

4949 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59426C211yesmaximal, characteristic, complemented
2#59067C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#56505C214yesmaximal, complemented
5#54864C214yesmaximal, complemented
6#54056C214yesmaximal, complemented
7#53132C212yesmaximal, complemented
8#53095C212yesmaximal, complemented
9#50100C214yesmaximal, complemented
10#45639C212yesmaximal, complemented
11#45598C212yesmaximal, complemented
12#45314C212yesmaximal, complemented
13#44942C212yesmaximal, complemented
14#42976C212yesmaximal, complemented
15#42798C212yesmaximal, complemented
16#42706C212yesmaximal, complemented
17#42536C212yesmaximal, complemented
18#39887C212yesmaximal, complemented
19#39736C212yesmaximal, complemented
20#39736C211yesmaximal, characteristic, complemented
21#39387C211yesmaximal, characteristic, complemented
22#39174C211yesmaximal, characteristic, complemented
23#39139C211yesmaximal, characteristic, complemented
24#37945C212yesmaximal, complemented
25#37668C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37285C212yesmaximal, complemented
29#36186C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36101C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35172C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#552C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#542C2212yescomplemented
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic, complemented
42C2×#529C2211yescharacteristic
43C2×#525C2212yes—
44C22×C4×D4C2211yescharacteristic
45#2858C2211yescharacteristic, complemented
46#2857C2211yescharacteristic, complemented
47#2856C2211yescharacteristic
48#2856C2212yes—
49#2854C2212yes—
50#2850C2212yescomplemented
51#2848C2212yes—
52#2848C2212yes—
53#2847C2212yes—
54#2831C2214yescomplemented
55#2829C2214yes—
56#2827C2214yescomplemented
57#2827C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2823C2214yescomplemented
61#2823C2214yescomplemented
62#2803C2214yes—
63#2800C2214yescomplemented
64#2797C2214yes—
65#2790C2214yescomplemented
66#2786C2214yescomplemented
67#2781C2214yes—
68#2781C2214yescomplemented
69#2780C2214yes—
70#2780C2214yescomplemented
71#2778C2214yes—
72#2765C2214yescomplemented
73#2761C2214yescomplemented
74#2761C2214yescomplemented
75#2761C2214yescomplemented
76#2759C2214yescomplemented
77#2757C2214yescomplemented
78#2750C2214yescomplemented
79#2748C2214yes—
80#2746C2214yescomplemented
81#2730C2214yescomplemented
82#2721C2214yescomplemented
83#2720C2214yes—
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2714C2214yes—
87#2711C2214yescomplemented
88#2711C2214yescomplemented
89#2707C2214yescomplemented
90#2706C2214yescomplemented
91#2705C2214yescomplemented
92#2704C2214yescomplemented
93#2697C2214yes—
94#2697C2214yes—
95#2695C2214yescomplemented
96#2695C2214yescomplemented
97#2694C2214yescomplemented
98#2691C2214yes—
99#2691C2214yescomplemented
100#2691C2214yescomplemented
101#2687C2214yescomplemented
102#2686C2214yescomplemented
103#2685C2214yes—
104#2685C2214yes—
105#2685C2214yes—
106#2684C2214yes—
107#2682C2214yes—
108#2681C2214yescomplemented
109#2678C2214yes—
110#2668C2214yes—
111#2662C2214yes—
112#2662C2214yescomplemented
113#2648C2214yes—
114#2647C2212yescomplemented
115#2644C2212yes—
116#2643C2214yescomplemented
117#2641C2212yes—
118#2637C2214yescomplemented
119#2633C2214yescomplemented
120#2629C2212yescomplemented
121#2626C2214yes—
122#2625C2212yescomplemented
123#2621C2212yescomplemented
124#2620C2212yes—
125#2620C2214yescomplemented
126#2620C2212yescomplemented
127#2601C2214yescomplemented
128#2598C2214yes—
129#2592C2212yes—
130#2587C2214yescomplemented
131#2580C2214yes—
132#2567C2211yescharacteristic, complemented
133#2567C2211yescharacteristic, complemented
134#2566C2212yes—
135#2566C2212yes—
136#2566C2214yes—
137#2566C2212yescomplemented
138#2566C2212yescomplemented
139#2566C2212yescomplemented
140#2563C2211yescharacteristic
141#2563C2211yescharacteristic
142#2554C2214yes—
143#2552C2211yescharacteristic, complemented
144#2552C2212yescomplemented
145#2552C2212yescomplemented
146#2548C2212yes—
147#2548C2212yes—
148#2548C2211yescharacteristic, complemented
149#2544C2212yes—
150#2542C2211yescharacteristic
151#2542C2211yescharacteristic
152#2542C2212yescomplemented
153#2541C2211yescharacteristic
154#2540C2212yes—
155#2538C2212yes—
156#2538C2211yescharacteristic
157#2538C2212yes—
158#2538C2212yescomplemented
159#2537C2212yescomplemented
160#2536C2212yescomplemented
161#2525C2214yescomplemented
162#2522C2212yes—
163#2520C2212yescomplemented
164#2519C2214yescomplemented
165#2514C2212yescomplemented
166#2512C2212yes—
167#2512C2212yes—
168#2512C2212yes—
169#2512C2214yescomplemented
170#2512C2212yescomplemented
171#2512C2212yescomplemented
172#2512C2212yescomplemented
173#2511C2211yescharacteristic, complemented
174#2508C2212yescomplemented
175#2507C2211yescharacteristic, complemented
176#2506C2212yescomplemented
177#2505C2214yescomplemented
178#2505C2212yescomplemented
179#2502C2211yescharacteristic, complemented
180#2498C2214yescomplemented
181#2497C2211yescharacteristic
182#2496C2212yescomplemented
183#2496C2212yescomplemented
184#2494C2212yescomplemented
185#2492C2211yescharacteristic
186#2490C2212yes—
187#2490C2212yes—
188#2490C2212yescomplemented
189#2489C2212yescomplemented
190#2489C2212yescomplemented
191#2487C2211yescharacteristic
192#2480C2212yes—
193#2469C2214yescomplemented
194#2468C2214yes—
195#2468C2212yes—
196#2462C2214yescomplemented
197#2457C2212yes—
198#2456C2214yes—
199#2454C2211yescharacteristic
200#2454C2212yescomplemented
201#2453C2212yescomplemented
202#2450C2214yes—
203#2450C2212yes—
204#2448C2212yes—
205#2448C2212yescomplemented
206#2447C2211yescharacteristic
207#2447C2214yescomplemented
208#2447C2212yescomplemented
209#2446C2212yescomplemented
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2442C2211yescharacteristic
214#2441C2212yes—
215#2440C2211yescharacteristic, complemented
216#2439C2212yescomplemented
217#2435C2211yescharacteristic
218#2433C2212yes—
219#2432C2212yescomplemented
220#2432C2212yescomplemented
221#2430C2214yescomplemented
222#2430C2214yescomplemented
223#2429C2212yes—
224#2428C2212yes—
225#2427C2212yes—
226#2427C2211yescharacteristic
227#2427C2212yescomplemented
228#2426C2212yes—
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2424C2214yes—
234#2423C2212yes—
235#2423C2212yescomplemented
236#2422C2212yescomplemented
237#2420C2212yes—
238#2420C2211yescharacteristic
239#2420C2212yescomplemented
240#2419C2214yescomplemented
241#2418C2212yes—
242#2417C2211yescharacteristic
243#2417C2211yescharacteristic
244#2417C2212yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2414C2212yes—
248#2414C2212yes—
249#2408C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2402C2212yescomplemented
254#2396C2212yes—
255#2395C2212yes—
256#2392C2212yes—
257#2377C2214yescomplemented
258#2367C2212yescomplemented
259#2366C2212yes—
260#2366C2211yescharacteristic, complemented
261#2365C2211yescharacteristic, complemented
262#2363C2212yes—
263#2362C2212yes—
264#2362C2212yescomplemented
265#2361C2212yes—
266#2355C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268#2354C2211yescharacteristic
269Q8×C4⋊C4C2212yescomplemented
270#2349C2212yescomplemented
271#2347C2212yescomplemented
272#2341C2212yescomplemented
273#2339C2212yescomplemented
274#2326C2212yescomplemented
275#2324C2212yes—
276#2324C2212yescomplemented
277#2324C2214yescomplemented
278#2324C2212yescomplemented
279#2323C2212yescomplemented
280#2317C2212yes—
281#2309C2212yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2285C2212yescomplemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#557—44no—
304#552—48no—
305#550—44no—
306#542—48no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—44no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#120C2312yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4—44no—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C22⋊C4C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2312yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2312yes—
498#395C2314yes—
499#395C2314yes—
500#395C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2314yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2314yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2314yes—
732#384C2312yes—
733#384C2311yescharacteristic
734#383C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2312yes—
745#381C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#379C2314yes—
771#379C2314yes—
772#379C2312yes—
773#379C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—82no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4—44no—
850C23×C4—44no—
851C23×C4—44no—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—44no—
872#127—24no—
873#127—44no—
874#127—44no—
875#126—44no—
876#126—48no—
877#126—48no—
878#126—84no—
879#126—84no—
880#126—84no—
881#125—42no—
882#125—44no—
883#125—48no—
884#125—44no—
885#125—44no—
886#125—48no—
887#124—44no—
888#124—44no—
889#124—42no—
890#124—42no—
891#124—44no—
892#124—44no—
893#124—48no—
894#123—48no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—84no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—44no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913#121—28no—
914#121—28no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—42no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—82no—
926#121—84no—
927#120—48no—
928#120—44no—
929#120—84no—
930C4×Q8—28no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—82no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—42no—
957#117—28no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—48no—
962#117—44no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—42no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4—44no—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—44no—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—24no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2514yes—
1206C24C2511yescharacteristic
1207C24C2511yescharacteristic
1208#41—816no—
1209#41—816no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—416no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—816no—
1319C22×C42−1+414yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—22no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—28no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—44no—
1445C22⋊C4—41no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—28no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—28no—
1498C42—24no—
1499C42—22no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—22no—
1505C42—42no—
1506C42—42no—
1507C42—44no—
1508C42—41no—
1509C42—44no—
1510C42—41no—
1511C42—44no—
1512C42—44no—
1513C42H(5,𝔽2)14yes—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—48no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23C2×2−1+412yes—
1555C23#58512yes—
1556C23C2611yescharacteristic
1557Q8—48no—
1558Q8—44no—
1559Q8—48no—
1560Q8—44no—
1561Q8—84no—
1562D4—48no—
1563D4—44no—
1564D4—48no—
1565D4—44no—
1566D4—44no—
1567D4—48no—
1568D4—88no—
1569D4—84no—
1570D4—84no—
1571D4—88no—
1572D4—84no—
1573D4—88no—
1574D4—88no—
1575D4—164no—
1576D4—164no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—48no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—82no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—164no—
1674C2×C4C2×H(5,𝔽2)14yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4#58512yes—
1682C2×C4#58512yes—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—44no—
1717C22—42no—
1718C22—816no—
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—22no—
1727C4—24no—
1728C4—22no—
1729C4—41no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—44no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—44no—
1745C4—41no—
1746C4—41no—
1747C4—44no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4#354114yes—
1755C4#354614yes—
1756C2—42no—
1757C2—42no—
1758C2—84no—
1759C2—82no—
1760C2—82no—
1761C2C2×#354111yescharacteristic
1762C2C2×#354611yescharacteristic
1763C2#6283111yescharacteristic
1764C2#6291711yescharacteristic
1765C2#6292411yescharacteristic
1766C2#6293711yescharacteristic
1767C2#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. #59426C2semidirect
2. #59067C2semidirect
3. #59039C2semidirect
4. #56505C2semidirect
5. #54864C2semidirect
6. #54056C2semidirect
7. #53132C2semidirect
8. #53095C2semidirect
9. #50100C2semidirect
10. #45639C2semidirect
11. #45598C2semidirect
12. #45314C2semidirect
13. #44942C2semidirect
14. #42976C2semidirect
15. #42798C2semidirect
16. #42706C2semidirect
17. #42536C2semidirect
18. #39887C2semidirect
19. #39736C2semidirect
20. #39736C2semidirect
21. #39387C2semidirect
22. #39174C2semidirect
23. #39139C2semidirect
24. #37945C2semidirect
25. #37668C2semidirect
26. #37637C2semidirect
27. #37331C2semidirect
28. #37285C2semidirect
29. #36186C2semidirect
30. #36150C2semidirect
31. #36101C2semidirect
32. #35238C2semidirect
33. #35172C2semidirect
34. #34772C2semidirect
35. #34700C2semidirect
36. C2×#557C22semidirect
37. C2×#552C22semidirect
39. C2×#542C22semidirect
41. C2×#532C22semidirect
45. #2858C22semidirect
46. #2857C22semidirect
50. #2850C22semidirect
54. #2831C22semidirect
56. #2827C22semidirect
57. #2827C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2823C22semidirect
61. #2823C22semidirect
63. #2800C22semidirect
65. #2790C22semidirect
66. #2786C22semidirect
68. #2781C22semidirect
70. #2780C22semidirect
72. #2765C22semidirect
73. #2761C22semidirect
74. #2761C22semidirect
75. #2761C22semidirect
76. #2759C22semidirect
77. #2757C22semidirect
78. #2750C22semidirect
80. #2746C22semidirect
81. #2730C22semidirect
82. #2721C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
87. #2711C22semidirect
88. #2711C22semidirect
89. #2707C22semidirect
90. #2706C22semidirect
91. #2705C22semidirect
92. #2704C22semidirect
95. #2695C22semidirect
96. #2695C22semidirect
97. #2694C22semidirect
99. #2691C22semidirect
100. #2691C22semidirect
101. #2687C22semidirect
102. #2686C22semidirect
108. #2681C22semidirect
112. #2662C22semidirect
114. #2647C22semidirect
116. #2643C22semidirect
118. #2637C22semidirect
119. #2633C22semidirect
120. #2629C22semidirect
122. #2625C22semidirect
123. #2621C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2601C22semidirect
130. #2587C22semidirect
132. #2567C22semidirect
133. #2567C22semidirect
137. #2566C22semidirect
138. #2566C22semidirect
139. #2566C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
148. #2548C22semidirect
152. #2542C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2536C22semidirect
161. #2525C22semidirect
163. #2520C22semidirect
164. #2519C22semidirect
165. #2514C22semidirect
169. #2512C22semidirect
170. #2512C22semidirect
171. #2512C22semidirect
172. #2512C22semidirect
173. #2511C22semidirect
174. #2508C22semidirect
175. #2507C22semidirect
176. #2506C22semidirect
177. #2505C22semidirect
178. #2505C22semidirect
179. #2502C22semidirect
180. #2498C22semidirect
182. #2496C22semidirect
183. #2496C22semidirect
184. #2494C22semidirect
188. #2490C22semidirect
189. #2489C22semidirect
190. #2489C22semidirect
193. #2469C22semidirect
196. #2462C22semidirect
200. #2454C22semidirect
201. #2453C22semidirect
205. #2448C22semidirect
207. #2447C22semidirect
208. #2447C22semidirect
209. #2446C22semidirect
215. #2440C22semidirect
216. #2439C22semidirect
219. #2432C22semidirect
220. #2432C22semidirect
221. #2430C22semidirect
222. #2430C22semidirect
227. #2427C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
235. #2423C22semidirect
236. #2422C22semidirect
239. #2420C22semidirect
240. #2419C22semidirect
244. #2417C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
252. #2407C22semidirect
253. #2402C22semidirect
257. #2377C22semidirect
258. #2367C22semidirect
260. #2366C22semidirect
261. #2365C22semidirect
264. #2362C22semidirect
266. #2355C22semidirect
267. #2355C22semidirect
269. Q8×C4⋊C4C22semidirect
270. #2349C22semidirect
271. #2347C22semidirect
272. #2341C22semidirect
273. #2339C22semidirect
274. #2326C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
291. #2295C22semidirect
295. #2285C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#594262
#590672
#590392
#565052
#548642
#540562
#531322
#530952
#501002
#456392
#455982
#453142
#449422
#429762
#427982
#427062
#425362
#398872
#397362
#393872
#391742
#391392
#379452
#376682
#376372
#373312
#372852
#361862
#361502
#361012
#352382
#351722
#347722
#347002