Finite Group Databasebeta

← #7646915

Subgroups — #7646915

Order 512.

5412 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42872C212yesmaximal, complemented
2#42867C212yesmaximal, complemented
3#42862C212yesmaximal, complemented
4#42853C212yesmaximal, complemented
5#42852C212yesmaximal, complemented
6#42847C212yesmaximal, complemented
7#42834C212yesmaximal, complemented
8#42831C212yesmaximal, complemented
9#40200C212yesmaximal, complemented
10#40196C212yesmaximal, complemented
11#40098C212yesmaximal, complemented
12#40094C212yesmaximal, complemented
13#39666C212yesmaximal, complemented
14#39663C212yesmaximal, complemented
15#39248C212yesmaximal, complemented
16#39244C212yesmaximal, complemented
17#37518C214yesmaximal, complemented
18#37140C214yesmaximal, complemented
19#37123C214yesmaximal, complemented
20#35630C211yesmaximal, characteristic, complemented
21#35621C211yesmaximal, characteristic, complemented
22#35542C211yesmaximal, characteristic, complemented
23#35516C211yesmaximal, characteristic, complemented
24#35312C211yesmaximal, characteristic, complemented
25#35307C211yesmaximal, characteristic, complemented
26#35242C211yesmaximal, characteristic, complemented
27#35242C211yesmaximal, characteristic, complemented
28#35178C211yesmaximal, characteristic, complemented
29#35154C211yesmaximal, characteristic, complemented
30#35074C214yesmaximal, complemented
31#34814C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic
33#34266C211yesmaximal, characteristic, complemented
34C2×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C24×Q8C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic
49#2862C2212yescomplemented
50#2861C2212yescomplemented
51#2855C2214yes—
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2214yes—
55#2849C2214yes—
56#2849C2214yes—
57#2833C2214yescomplemented
58#2832C2214yescomplemented
59#2831C2214yescomplemented
60#2831C2214yescomplemented
61#2808C2214yescomplemented
62#2806C2214yescomplemented
63#2805C2214yescomplemented
64#2804C2214yescomplemented
65#2788C2214yes—
66#2788C2214yescomplemented
67#2788C2214yescomplemented
68#2787C2214yes—
69#2786C2214yes—
70#2784C2214yes—
71#2781C2214yes—
72#2780C2214yes—
73#2779C2214yes—
74#2778C2214yes—
75#2775C2214yescomplemented
76#2775C2214yescomplemented
77#2774C2214yescomplemented
78#2774C2214yescomplemented
79#2770C2214yes—
80#2768C2214yes—
81#2759C2214yescomplemented
82#2759C2214yescomplemented
83#2756C2214yes—
84#2751C2214yescomplemented
85#2751C2214yescomplemented
86#2750C2214yes—
87#2745C2214yescomplemented
88#2745C2214yescomplemented
89#2715C2214yes—
90#2708C2214yes—
91#2695C2214yes—
92#2686C2214yes—
93#2666C2214yescomplemented
94#2666C2214yescomplemented
95#2665C2214yescomplemented
96#2665C2214yescomplemented
97#2653C2214yes—
98#2653C2214yescomplemented
99#2653C2214yescomplemented
100#2652C2214yes—
101#2650C2214yescomplemented
102#2650C2214yescomplemented
103#2649C2214yes—
104#2648C2214yes—
105#2642C2212yescomplemented
106#2640C2212yescomplemented
107#2627C2214yes—
108#2625C2212yescomplemented
109#2625C2212yescomplemented
110#2618C2214yes—
111#2614C2214yes—
112#2614C2214yes—
113#2597C2214yes—
114#2595C2214yes—
115#2589C2214yes—
116#2587C2214yes—
117#2586C2214yescomplemented
118#2578C2214yes—
119#2576C2214yes—
120#2574C2214yescomplemented
121#2574C2214yescomplemented
122#2572C2214yescomplemented
123#2563C2212yes—
124#2562C2212yes—
125#2562C2212yes—
126#2559C2214yes—
127#2557C2214yes—
128#2548C2212yescomplemented
129#2547C2212yes—
130#2547C2212yescomplemented
131#2546C2212yescomplemented
132#2546C2212yescomplemented
133#2545C2212yescomplemented
134#2545C2212yescomplemented
135#2545C2212yescomplemented
136#2544C2212yescomplemented
137#2538C2212yescomplemented
138#2538C2212yescomplemented
139#2536C2212yescomplemented
140#2536C2212yescomplemented
141#2514C2212yescomplemented
142#2514C2212yescomplemented
143#2514C2212yescomplemented
144#2514C2212yescomplemented
145#2511C2212yescomplemented
146#2511C2212yescomplemented
147#2511C2212yescomplemented
148#2511C2212yescomplemented
149#2497C2211yescharacteristic
150#2497C2211yescharacteristic
151#2496C2211yescharacteristic
152#2496C2211yescharacteristic
153#2495C2211yescharacteristic
154#2495C2211yescharacteristic
155#2494C2211yescharacteristic
156#2494C2211yescharacteristic
157#2493C2214yes—
158#2493C2214yes—
159#2493C2212yes—
160#2493C2212yes—
161#2492C2212yes—
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yes—
165#2490C2212yes—
166#2489C2212yes—
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2488C2214yes—
170#2488C2214yes—
171#2488C2214yes—
172#2487C2212yes—
173#2486C2212yes—
174#2485C2212yes—
175#2485C2212yes—
176#2480C2212yes—
177#2480C2212yes—
178#2472C2214yes—
179#2453C2212yescomplemented
180#2453C2212yescomplemented
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2451C2212yescomplemented
184#2451C2212yescomplemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2447C2212yescomplemented
188#2447C2212yescomplemented
189#2446C2212yescomplemented
190#2446C2212yescomplemented
191#2436C2212yes—
192#2436C2212yes—
193#2436C2212yes—
194#2436C2212yes—
195#2434C2212yes—
196#2434C2212yes—
197#2434C2212yes—
198#2434C2212yes—
199#2429C2211yescharacteristic
200#2429C2211yescharacteristic
201#2428C2211yescharacteristic
202#2428C2211yescharacteristic
203#2427C2211yescharacteristic
204#2427C2211yescharacteristic
205#2426C2211yescharacteristic
206#2426C2211yescharacteristic
207#2425C2214yes—
208#2425C2214yes—
209#2425C2212yes—
210#2425C2212yes—
211#2424C2212yes—
212#2424C2212yes—
213#2423C2212yes—
214#2422C2212yes—
215#2421C2212yes—
216#2420C2212yes—
217#2419C2214yes—
218#2419C2214yes—
219#2419C2214yes—
220#2418C2214yes—
221#2417C2212yescomplemented
222#2417C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2409C2212yes—
226#2409C2212yes—
227#2409C2212yes—
228#2409C2212yes—
229#2409C2212yes—
230#2409C2212yes—
231#2409C2212yes—
232#2409C2212yes—
233#2401C2212yes—
234#2401C2212yes—
235#2392C2212yes—
236#2392C2212yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245Q8×C22⋊C4C2212yes—
246Q8×C22⋊C4C2212yes—
247Q8×C22⋊C4C2212yes—
248Q8×C22⋊C4C2212yes—
249Q8×C22⋊C4C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2334C2214yes—
256#2333C2214yes—
257#2327C2212yescomplemented
258#2326C2212yescomplemented
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2322C2214yes—
262#2322C2214yes—
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#126C2212yes—
274C4×#126C2212yes—
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2214yes—
279C4×#123C2214yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#391C2212yes—
287C2×#391C2211yescharacteristic
288C2×#391C2212yes—
289C2×#391C2211yescharacteristic
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2212yes—
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8—28no—
302C23×Q8—44no—
303C23×Q8—44no—
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C24×C4C2311yescharacteristic
312C24×C4C2312yes—
313#544—44no—
314#536—28no—
315#536—28no—
316#536—44no—
317#536—44no—
318#532—44no—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2312yes—
326C2×#127C2311yescharacteristic
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338#525—44no—
339#525—44no—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#120C2312yes—
369C2×#120C2312yes—
370#520—44no—
371C4×#41—44no—
372C2×C4×Q8—44no—
373C2×C4×Q8—44no—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2314yes—
419#401C2312yes—
420#401C2314yes—
421#401C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2312yes—
529#392C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2314yes—
571#391C2311yescharacteristic
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
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#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#383C2312yes—
722#383C2312yes—
723#383C2314yes—
724#383C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#379C2312yes—
770#379C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—28no—
833C22×Q8—28no—
834C22×Q8—28no—
835C22×Q8—28no—
836C22×Q8—28no—
837C22×Q8—24no—
838C22×Q8—24no—
839C22×Q8—24no—
840C22×Q8—24no—
841C22×Q8—24no—
842C22×Q8—44no—
843C22×Q8—44no—
844C22×Q8—44no—
845C22×Q8—44no—
846C22×Q8—44no—
847C22×Q8—44no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8—464no—
853C22×Q8#4118yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C23×C4—28no—
874C23×C4—24no—
875C23×C4—24no—
876C23×C4—24no—
877C23×C4—44no—
878C23×C4—44no—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—44no—
903C4⋊Q8—44no—
904C4⋊Q8—42no—
905C4⋊Q8—44no—
906C4⋊Q8—44no—
907#127—42no—
908#126—28no—
909#126—44no—
910#125—44no—
911#125—44no—
912#124—28no—
913#124—28no—
914#124—42no—
915#124—42no—
916#124—44no—
917#124—44no—
918#124—48no—
919#123—216no—
920#123—216no—
921#123—48no—
922#123—44no—
923#123—44no—
924#123—48no—
925#123—48no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—48no—
931C22⋊Q8—42no—
932C22⋊Q8—42no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939#121—28no—
940#121—44no—
941#121—42no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—44no—
946#121—44no—
947#120—44no—
948#120—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—42no—
958C4×Q8—42no—
959C4×Q8—44no—
960C4×D4—42no—
961C4×D4—42no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—24no—
978#117—44no—
979#117—44no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—42no—
1047C2×C22⋊C4—44no—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42—44no—
1109C2×C42—44no—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2414yes—
1140#95C2414yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2411yescharacteristic
1146#95C2414yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—41no—
1221C24—41no—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2511yescharacteristic
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227#41—416no—
1228#41—416no—
1229C2×Q8—232no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—28no—
1233C2×Q8—28no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—432no—
1256C2×Q8—432no—
1257C2×Q8—432no—
1258C2×Q8—432no—
1259C2×Q8—432no—
1260C2×Q8—416no—
1261C2×Q8C2×#4118yes—
1262C2×Q8C2×#4118yes—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—432no—
1353C22×C4—416no—
1354C22×C4C2×#4118yes—
1355C22×C4C2×#4114yes—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C4H(5,𝔽2)14yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—28no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—24no—
1469C22⋊C4—41no—
1470C22⋊C4—44no—
1471C22⋊C4—41no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C42−1+414yes—
1505C42—24no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—42no—
1521C42—42no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—42no—
1527C42—42no—
1528C42—44no—
1529C42—44no—
1530C42—44no—
1531C42—42no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—28no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23C22×#4112yes—
1570C23C2×H(5,𝔽2)12yes—
1571C23C2×H(5,𝔽2)12yes—
1572C23C2×2−1+412yes—
1573C23#58512yes—
1574C23C2611yescharacteristic
1575Q8—216no—
1576Q8—216no—
1577Q8—416no—
1578Q8—416no—
1579Q8—48no—
1580Q8—48no—
1581Q8—44no—
1582Q8—44no—
1583Q8—164no—
1584D4—48no—
1585D4—48no—
1586D4—44no—
1587D4—44no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—216no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—416no—
1679C2×C4—416no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—84no—
1689C2×C4—82no—
1690C2×C4—82no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—164no—
1695C2×C4#538116yes—
1696C2×C4C22×#4118yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×2−1+412yes—
1704C2×C4C2×2−1+412yes—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—416no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22C2×#53814yes—
1741C22C23×#4111yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×2−1+411yescharacteristic
1745C22C2×#58511yescharacteristic
1746C222−1+611yescharacteristic
1747C222−1+611yescharacteristic
1748C4—28no—
1749C4—22no—
1750C4—22no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—41no—
1756C4—41no—
1757C4—44no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—44no—
1770C4—42no—
1771C4—41no—
1772C4—44no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4C2×#53814yes—
1777C4C2×#53814yes—
1778C2—24no—
1779C2—42no—
1780C2—42no—
1781C2—82no—
1782C2—82no—
1783C2C22×#53811yescharacteristic
1784C2#6278811yescharacteristic
1785C2#6285011yescharacteristic
1786C2#6294211yescharacteristic
1787C2#6294211yescharacteristic
1788C2#6295411yescharacteristic
1789C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42872C2semidirect
2. #42867C2semidirect
3. #42862C2semidirect
4. #42853C2semidirect
5. #42852C2semidirect
6. #42847C2semidirect
7. #42834C2semidirect
8. #42831C2semidirect
9. #40200C2semidirect
10. #40196C2semidirect
11. #40098C2semidirect
12. #40094C2semidirect
13. #39666C2semidirect
14. #39663C2semidirect
15. #39248C2semidirect
16. #39244C2semidirect
17. #37518C2semidirect
18. #37140C2semidirect
19. #37123C2semidirect
20. #35630C2semidirect
21. #35621C2semidirect
22. #35542C2semidirect
23. #35516C2semidirect
24. #35312C2semidirect
25. #35307C2semidirect
26. #35242C2semidirect
27. #35242C2semidirect
28. #35178C2semidirect
29. #35154C2semidirect
30. #35074C2semidirect
31. #34814C2semidirect
33. #34266C2semidirect
34. C2×Q8×C22⋊C4C2semidirect
35. C4×#536C2semidirect
49. #2862C22semidirect
50. #2861C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
57. #2833C22semidirect
58. #2832C22semidirect
59. #2831C22semidirect
60. #2831C22semidirect
61. #2808C22semidirect
62. #2806C22semidirect
63. #2805C22semidirect
64. #2804C22semidirect
66. #2788C22semidirect
67. #2788C22semidirect
75. #2775C22semidirect
76. #2775C22semidirect
77. #2774C22semidirect
78. #2774C22semidirect
81. #2759C22semidirect
82. #2759C22semidirect
84. #2751C22semidirect
85. #2751C22semidirect
87. #2745C22semidirect
88. #2745C22semidirect
93. #2666C22semidirect
94. #2666C22semidirect
95. #2665C22semidirect
96. #2665C22semidirect
98. #2653C22semidirect
99. #2653C22semidirect
101. #2650C22semidirect
102. #2650C22semidirect
105. #2642C22semidirect
106. #2640C22semidirect
108. #2625C22semidirect
109. #2625C22semidirect
117. #2586C22semidirect
120. #2574C22semidirect
121. #2574C22semidirect
122. #2572C22semidirect
128. #2548C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
132. #2546C22semidirect
133. #2545C22semidirect
134. #2545C22semidirect
135. #2545C22semidirect
136. #2544C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2536C22semidirect
140. #2536C22semidirect
141. #2514C22semidirect
142. #2514C22semidirect
143. #2514C22semidirect
144. #2514C22semidirect
145. #2511C22semidirect
146. #2511C22semidirect
147. #2511C22semidirect
148. #2511C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
179. #2453C22semidirect
180. #2453C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2451C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2446C22semidirect
190. #2446C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
257. #2327C22semidirect
258. #2326C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
272. C4×C4⋊Q8C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#428722
#428672
#428622
#428532
#428522
#428472
#428342
#428312
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