Finite Group Databasebeta

← #7646632

Subgroups — #7646632

Order 512.

4660 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42905C212yesmaximal, complemented
2#42901C212yesmaximal, complemented
3#42899C212yesmaximal, complemented
4#42896C212yesmaximal, complemented
5#42870C212yesmaximal, complemented
6#42868C212yesmaximal, complemented
7#42854C212yesmaximal, complemented
8#42849C212yesmaximal, complemented
9#40201C212yesmaximal, complemented
10#40195C212yesmaximal, complemented
11#40124C212yesmaximal, complemented
12#40123C212yesmaximal, complemented
13#39791C212yesmaximal, complemented
14#39787C212yesmaximal, complemented
15#39249C212yesmaximal, complemented
16#39239C212yesmaximal, complemented
17#37506C214yesmaximal, complemented
18#36998C214yesmaximal, complemented
19#36796C214yesmaximal, complemented
20#35673C211yesmaximal, characteristic, complemented
21#35672C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic
24#35265C211yesmaximal, characteristic, complemented
25#35257C211yesmaximal, characteristic, complemented
26#35181C211yesmaximal, characteristic, complemented
27#35160C211yesmaximal, characteristic, complemented
28#35157C211yesmaximal, characteristic
29#35151C211yesmaximal, characteristic, complemented
30#35059C214yesmaximal, complemented
31#34814C211yesmaximal, characteristic, complemented
32#34742C211yesmaximal, characteristic
33#34249C211yesmaximal, characteristic, complemented
34C2×#2362C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2859C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2214yes—
49#2853C2214yes—
50#2852C2214yes—
51#2851C2214yes—
52#2851C2212yescomplemented
53#2838C2214yes—
54#2837C2214yes—
55#2837C2214yes—
56#2836C2214yes—
57#2810C2214yescomplemented
58#2809C2214yescomplemented
59#2808C2214yes—
60#2802C2214yescomplemented
61#2798C2214yes—
62#2798C2214yescomplemented
63#2796C2214yes—
64#2795C2214yes—
65#2794C2214yescomplemented
66#2793C2214yes—
67#2793C2214yescomplemented
68#2791C2214yescomplemented
69#2790C2214yescomplemented
70#2789C2214yescomplemented
71#2787C2214yescomplemented
72#2785C2214yes—
73#2783C2214yes—
74#2783C2214yes—
75#2783C2214yescomplemented
76#2781C2214yes—
77#2777C2214yes—
78#2776C2214yescomplemented
79#2775C2214yes—
80#2775C2214yescomplemented
81#2773C2214yes—
82#2771C2214yescomplemented
83#2767C2214yescomplemented
84#2744C2214yescomplemented
85#2727C2214yes—
86#2721C2214yes—
87#2718C2214yes—
88#2694C2214yes—
89#2666C2214yescomplemented
90#2664C2214yes—
91#2664C2214yescomplemented
92#2663C2214yes—
93#2655C2214yescomplemented
94#2654C2214yes—
95#2654C2214yes—
96#2654C2214yescomplemented
97#2651C2214yes—
98#2651C2214yes—
99#2650C2214yes—
100#2649C2214yes—
101#2647C2212yescomplemented
102#2647C2212yescomplemented
103#2646C2214yes—
104#2643C2214yes—
105#2629C2212yescomplemented
106#2628C2212yescomplemented
107#2626C2214yes—
108#2622C2214yes—
109#2596C2214yes—
110#2596C2214yescomplemented
111#2594C2214yes—
112#2594C2214yescomplemented
113#2590C2214yescomplemented
114#2588C2214yescomplemented
115#2585C2214yescomplemented
116#2585C2214yescomplemented
117#2573C2214yescomplemented
118#2571C2212yescomplemented
119#2571C2212yescomplemented
120#2570C2212yescomplemented
121#2570C2212yescomplemented
122#2570C2212yescomplemented
123#2570C2212yescomplemented
124#2568C2212yescomplemented
125#2567C2212yescomplemented
126#2565C2212yescomplemented
127#2565C2212yescomplemented
128#2560C2214yes—
129#2558C2214yes—
130#2556C2214yescomplemented
131#2552C2212yescomplemented
132#2552C2212yescomplemented
133#2538C2212yes—
134#2538C2212yes—
135#2536C2212yes—
136#2536C2212yes—
137#2514C2212yescomplemented
138#2513C2212yescomplemented
139#2512C2212yescomplemented
140#2511C2212yescomplemented
141#2509C2212yescomplemented
142#2508C2212yescomplemented
143#2507C2212yescomplemented
144#2506C2212yescomplemented
145#2505C2214yes—
146#2500C2212yes—
147#2500C2212yes—
148#2499C2212yes—
149#2499C2212yes—
150#2498C2214yes—
151#2498C2214yes—
152#2497C2211yescharacteristic
153#2497C2211yescharacteristic
154#2497C2212yescomplemented
155#2496C2211yescharacteristic
156#2496C2211yescharacteristic
157#2496C2212yescomplemented
158#2495C2211yescharacteristic
159#2495C2211yescharacteristic
160#2495C2212yescomplemented
161#2494C2211yescharacteristic
162#2494C2211yescharacteristic
163#2494C2212yescomplemented
164#2493C2212yes—
165#2493C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2484C2214yes—
171#2482C2214yes—
172#2480C2212yes—
173#2480C2212yes—
174#2473C2214yes—
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2453C2212yescomplemented
178#2453C2212yescomplemented
179#2452C2212yescomplemented
180#2451C2212yescomplemented
181#2451C2212yescomplemented
182#2451C2212yescomplemented
183#2450C2214yes—
184#2449C2214yes—
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2446C2212yescomplemented
188#2446C2212yescomplemented
189#2441C2212yes—
190#2441C2212yes—
191#2441C2212yes—
192#2441C2212yes—
193#2439C2212yes—
194#2439C2212yes—
195#2439C2212yes—
196#2439C2212yes—
197#2438C2214yes—
198#2438C2214yes—
199#2429C2212yes—
200#2429C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2423C2211yescharacteristic
204#2423C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2423C2212yes—
208#2423C2211yescharacteristic
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2422C2211yescharacteristic
212#2422C2211yescharacteristic
213#2421C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2211yescharacteristic
218#2421C2211yescharacteristic
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2211yescharacteristic
222#2420C2211yescharacteristic
223#2419C2212yes—
224#2419C2212yes—
225#2418C2212yes—
226#2418C2212yes—
227#2413C2214yes—
228#2411C2214yes—
229#2401C2212yes—
230#2401C2212yes—
231#2395C2212yes—
232#2395C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2351C2212yescomplemented
242#2351C2212yescomplemented
243#2351C2212yescomplemented
244#2351C2212yescomplemented
245Q8×C4⋊C4C2212yescomplemented
246Q8×C4⋊C4C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249#2336C2214yescomplemented
250#2336C2214yescomplemented
251#2334C2214yescomplemented
252#2332C2214yescomplemented
253#2327C2212yescomplemented
254#2326C2212yescomplemented
255#2323C2212yescomplemented
256#2323C2212yescomplemented
257#2322C2214yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2214yes—
266#2316C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2214yes—
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#388C2212yes—
288C2×#388C2212yes—
289C2×#387C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315#525—44no—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8—28no—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#120C2312yes—
334#519—28no—
335#519—44no—
336C4×#41—44no—
337C2×C4×Q8—44no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×#117—44no—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2314yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2312yes—
391#401C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
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#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
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#387C2312yes—
672#387C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2314yes—
710#384C2314yes—
711#384C2311yescharacteristic
712#383C2312yes—
713#383C2312yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#381C2312yes—
734#381C2312yes—
735#381C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#379C2312yes—
761#379C2312yes—
762#379C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C4⋊Q8—28no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857#126—48no—
858#126—44no—
859#126—44no—
860#125—48no—
861#125—48no—
862#125—44no—
863#125—44no—
864#124—28no—
865#123—216no—
866#123—44no—
867#123—44no—
868#123—44no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—42no—
878C22⋊Q8—42no—
879#121—42no—
880#121—42no—
881#120—44no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902#117—216no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—44no—
911#117—48no—
912#117—44no—
913#117—44no—
914#117—44no—
915#117—44no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C22⋊C4—28no—
998C2×C22⋊C4—42no—
999C2×C22⋊C4—42no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180#41—416no—
1181C2×Q8—232no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8C2×#4118yes—
1193C2×Q8C2×#4118yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—416no—
1254C22×C4C2×#4118yes—
1255C22×C4C2×#4114yes—
1256C22×C4H(5,𝔽2)14yes—
1257C22×C42−1+414yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C42—28no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23C22×#4112yes—
1477C23C2×H(5,𝔽2)12yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—216no—
1481Q8—216no—
1482Q8—44no—
1483Q8—164no—
1484D4—48no—
1485D4—44no—
1486D4—84no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—216no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—82no—
1587C2×C4—84no—
1588C2×C4#539116yes—
1589C2×C4C22×#4118yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—88no—
1626C22C2×#53914yes—
1627C22C23×#4111yescharacteristic
1628C22C22×H(5,𝔽2)11yescharacteristic
1629C22C22×2−1+411yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C222−1+611yescharacteristic
1633C222−1+611yescharacteristic
1634C4—28no—
1635C4—22no—
1636C4—22no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—41no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4C2×#53914yes—
1664C4C2×#53914yes—
1665C2—24no—
1666C2—82no—
1667C2—81no—
1668C2—81no—
1669C2C22×#53911yescharacteristic
1670C2#6279311yescharacteristic
1671C2#6285011yescharacteristic
1672C2#6292511yescharacteristic
1673C2#6292811yescharacteristic
1674C2#6295411yescharacteristic
1675C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42905C2semidirect
2. #42901C2semidirect
3. #42899C2semidirect
4. #42896C2semidirect
5. #42870C2semidirect
6. #42868C2semidirect
7. #42854C2semidirect
8. #42849C2semidirect
9. #40201C2semidirect
10. #40195C2semidirect
11. #40124C2semidirect
12. #40123C2semidirect
13. #39791C2semidirect
14. #39787C2semidirect
15. #39249C2semidirect
16. #39239C2semidirect
17. #37506C2semidirect
18. #36998C2semidirect
19. #36796C2semidirect
20. #35673C2semidirect
21. #35672C2semidirect
22. #35668C2semidirect
24. #35265C2semidirect
25. #35257C2semidirect
26. #35181C2semidirect
27. #35160C2semidirect
29. #35151C2semidirect
30. #35059C2semidirect
31. #34814C2semidirect
33. #34249C2semidirect
34. C2×#2362C2semidirect
35. C4×#536C2semidirect
45. #2864C22semidirect
46. #2859C22semidirect
47. #2857C22semidirect
52. #2851C22semidirect
57. #2810C22semidirect
58. #2809C22semidirect
60. #2802C22semidirect
62. #2798C22semidirect
65. #2794C22semidirect
67. #2793C22semidirect
68. #2791C22semidirect
69. #2790C22semidirect
70. #2789C22semidirect
71. #2787C22semidirect
75. #2783C22semidirect
78. #2776C22semidirect
80. #2775C22semidirect
82. #2771C22semidirect
83. #2767C22semidirect
84. #2744C22semidirect
89. #2666C22semidirect
91. #2664C22semidirect
93. #2655C22semidirect
96. #2654C22semidirect
101. #2647C22semidirect
102. #2647C22semidirect
105. #2629C22semidirect
106. #2628C22semidirect
110. #2596C22semidirect
112. #2594C22semidirect
113. #2590C22semidirect
114. #2588C22semidirect
115. #2585C22semidirect
116. #2585C22semidirect
117. #2573C22semidirect
118. #2571C22semidirect
119. #2571C22semidirect
120. #2570C22semidirect
121. #2570C22semidirect
122. #2570C22semidirect
123. #2570C22semidirect
124. #2568C22semidirect
125. #2567C22semidirect
126. #2565C22semidirect
127. #2565C22semidirect
130. #2556C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
137. #2514C22semidirect
138. #2513C22semidirect
139. #2512C22semidirect
140. #2511C22semidirect
141. #2509C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2506C22semidirect
154. #2497C22semidirect
157. #2496C22semidirect
160. #2495C22semidirect
163. #2494C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
178. #2453C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
181. #2451C22semidirect
182. #2451C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2446C22semidirect
188. #2446C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
241. #2351C22semidirect
242. #2351C22semidirect
243. #2351C22semidirect
244. #2351C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. #2336C22semidirect
250. #2336C22semidirect
251. #2334C22semidirect
252. #2332C22semidirect
253. #2327C22semidirect
254. #2326C22semidirect
255. #2323C22semidirect
256. #2323C22semidirect
271. C4×C4⋊Q8C22semidirect
274. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#429052
#429012
#428992
#428962
#428702
#428682
#428542
#428492
#402012
#401952
#401242
#401232
#397912
#397872
#392492
#392392
#375062
#369982
#367962
#356732
#356722
#356682
#356612
#352652
#352572
#351812
#351602
#351572
#351512
#350592
#348142
#347422
#342492
C2×#23622
C4×#5362