Finite Group Databasebeta

← #7986033

Subgroups — #7986033

Order 512.

4744 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59751C212yesmaximal, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59259C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59200C212yesmaximal, complemented
6#49400C214yesmaximal, complemented
7#48347C214yesmaximal, complemented
8#45953C214yesmaximal, complemented
9#45295C212yesmaximal, complemented
10#45128C212yesmaximal, complemented
11#45098C212yesmaximal, complemented
12#45089C212yesmaximal, complemented
13#42684C212yesmaximal, complemented
14#42656C212yesmaximal, complemented
15#42642C212yesmaximal
16#42634C212yesmaximal, complemented
17#39761C211yesmaximal, characteristic, complemented
18#39737C211yesmaximal, characteristic, complemented
19#39369C211yesmaximal, characteristic, complemented
20#38923C211yesmaximal, characteristic, complemented
21#38897C214yesmaximal, complemented
22#38284C212yesmaximal, complemented
23#37859C212yesmaximal, complemented
24#36454C212yesmaximal, complemented
25#36439C212yesmaximal, complemented
26#36288C211yesmaximal, characteristic, complemented
27#36194C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#35214C212yesmaximal, complemented
30#35151C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34481C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2868C2211yescharacteristic, complemented
43#2862C2212yescomplemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2214yescomplemented
47#2855C2214yescomplemented
48#2852C2214yescomplemented
49#2848C2212yes—
50#2827C2214yes—
51#2826C2214yes—
52#2810C2214yescomplemented
53#2802C2214yescomplemented
54#2793C2214yescomplemented
55#2793C2214yescomplemented
56#2793C2214yescomplemented
57#2789C2214yescomplemented
58#2785C2214yescomplemented
59#2783C2214yescomplemented
60#2779C2214yes—
61#2777C2214yescomplemented
62#2775C2214yescomplemented
63#2773C2214yescomplemented
64#2772C2214yescomplemented
65#2768C2214yes—
66#2758C2214yescomplemented
67#2745C2214yes—
68#2741C2214yescomplemented
69#2739C2214yes—
70#2736C2214yes—
71#2735C2214yes—
72#2735C2214yes—
73#2731C2214yescomplemented
74#2730C2214yes—
75#2725C2214yescomplemented
76#2722C2214yescomplemented
77#2720C2214yescomplemented
78#2716C2214yescomplemented
79#2715C2214yescomplemented
80#2702C2214yes—
81#2702C2214yes—
82#2695C2214yescomplemented
83#2685C2214yes—
84#2677C2214yescomplemented
85#2653C2214yes—
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2649C2214yes—
89#2640C2212yes—
90#2628C2212yescomplemented
91#2626C2214yes—
92#2626C2214yes—
93#2625C2212yescomplemented
94#2620C2212yes—
95#2612C2214yescomplemented
96#2601C2214yes—
97#2599C2214yes—
98#2594C2214yescomplemented
99#2585C2214yescomplemented
100#2585C2214yescomplemented
101#2582C2211yescharacteristic, complemented
102#2577C2214yescomplemented
103#2575C2214yescomplemented
104#2575C2214yescomplemented
105#2574C2214yes—
106#2574C2214yescomplemented
107#2573C2214yes—
108#2571C2212yescomplemented
109#2565C2212yescomplemented
110#2563C2212yes—
111#2562C2212yescomplemented
112#2560C2214yescomplemented
113#2552C2211yescharacteristic, complemented
114#2551C2211yescharacteristic, complemented
115#2551C2212yescomplemented
116#2547C2212yes—
117#2547C2211yescharacteristic
118#2546C2211yescharacteristic, complemented
119#2545C2212yes—
120#2542C2212yes—
121#2538C2212yes—
122#2538C2211yescharacteristic
123#2530C2214yescomplemented
124#2530C2212yescomplemented
125#2528C2212yescomplemented
126#2527C2214yescomplemented
127#2526C2214yescomplemented
128#2519C2214yescomplemented
129#2519C2214yescomplemented
130#2518C2214yescomplemented
131#2517C2212yes—
132#2517C2214yescomplemented
133#2517C2214yescomplemented
134#2516C2214yes—
135#2514C2212yescomplemented
136#2512C2212yes—
137#2512C2212yes—
138#2511C2212yescomplemented
139#2511C2212yescomplemented
140#2511C2211yescharacteristic, complemented
141#2508C2212yescomplemented
142#2508C2212yescomplemented
143#2507C2212yescomplemented
144#2506C2212yescomplemented
145#2506C2211yescharacteristic, complemented
146#2499C2211yescharacteristic
147#2499C2212yescomplemented
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2496C2212yescomplemented
154#2496C2212yescomplemented
155#2494C2212yescomplemented
156#2494C2211yescharacteristic, complemented
157#2492C2212yes—
158#2492C2212yes—
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2491C2212yes—
162#2489C2211yescharacteristic, complemented
163#2489C2214yescomplemented
164#2485C2211yescharacteristic
165#2485C2212yes—
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2485C2212yescomplemented
169#2480C2214yes—
170#2480C2214yes—
171#2480C2212yes—
172#2478C2214yescomplemented
173#2474C2214yescomplemented
174#2472C2214yes—
175#2469C2214yescomplemented
176#2468C2212yes—
177#2466C2214yes—
178#2460C2212yes—
179#2457C2212yes—
180#2454C2211yescharacteristic
181#2453C2212yescomplemented
182#2452C2212yes—
183#2448C2212yes—
184#2448C2212yes—
185#2447C2212yes—
186#2447C2211yescharacteristic
187#2446C2214yescomplemented
188#2442C2211yescharacteristic
189#2441C2214yes—
190#2441C2212yes—
191#2441C2211yescharacteristic
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2214yescomplemented
196#2440C2212yescomplemented
197#2439C2212yes—
198#2439C2212yes—
199#2439C2214yes—
200#2439C2212yescomplemented
201#2439C2212yescomplemented
202#2439C2212yescomplemented
203#2439C2214yescomplemented
204#2435C2212yes—
205#2435C2211yescharacteristic
206#2429C2212yes—
207#2429C2212yescomplemented
208#2427C2212yes—
209#2427C2211yescharacteristic
210#2423C2212yes—
211#2421C2214yescomplemented
212#2421C2212yescomplemented
213#2420C2211yescharacteristic
214#2418C2212yes—
215#2417C2211yescharacteristic
216#2417C2212yescomplemented
217#2415C2212yes—
218#2415C2211yescharacteristic
219#2408C2211yescharacteristic
220#2401C2212yes—
221#2395C2212yes—
222#2395C2212yes—
223#2392C2212yes—
224#2383C2214yescomplemented
225#2376C2214yescomplemented
226#2373C2214yescomplemented
227#2370C2212yescomplemented
228#2369C2212yescomplemented
229#2369C2212yescomplemented
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2365C2212yescomplemented
234#2365C2211yescharacteristic, complemented
235#2365C2212yescomplemented
236#2362C2212yes—
237#2360C2212yes—
238#2360C2212yescomplemented
239#2355C2211yescharacteristic, complemented
240#2355C2212yescomplemented
241#2355C2212yescomplemented
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2212yes—
245#2354C2211yescharacteristic
246#2354C2212yescomplemented
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yescomplemented
250Q8×C4⋊C4C2212yescomplemented
251Q8×C4⋊C4C2211yescharacteristic, complemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255#2347C2212yescomplemented
256#2347C2212yescomplemented
257#2346C2212yes—
258#2344C2212yes—
259#2342C2214yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2334C2214yescomplemented
263#2331C2212yescomplemented
264#2326C2212yes—
265#2324C2212yes—
266#2323C2212yescomplemented
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2320C2212yescomplemented
270#2317C2212yescomplemented
271#2317C2212yescomplemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#125C2212yescomplemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2214yescomplemented
282C4×#121C2211yescharacteristic
283C4×#120C2212yes—
284#2298C2212yescomplemented
285#2295C2211yescharacteristic, complemented
286#2295C2212yescomplemented
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295#2280C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#556—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312#529—28no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#120C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4—28no—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117—48no—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2314yes—
387#401C2314yes—
388#401C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2314yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2314yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2314yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2311yescharacteristic
746#379C2314yes—
747#379C2314yes—
748#379C2312yes—
749#379C2312yes—
750#379C2314yes—
751#379C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855#126—28no—
856#126—216no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—24no—
861#125—24no—
862#125—44no—
863#125—44no—
864#125—48no—
865#124—24no—
866#124—28no—
867#124—44no—
868#124—42no—
869#124—48no—
870#123—28no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—24no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—48no—
881C22⋊Q8—44no—
882#121—24no—
883#121—42no—
884#120—44no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—44no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4#4118yes—
906#117—28no—
907#117—28no—
908#117—24no—
909#117—24no—
910#117—28no—
911#117—44no—
912#117—44no—
913#117—48no—
914#117—48no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—44no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4—28no—
997C2×C22⋊C4—48no—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—48no—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24—42no—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2512yes—
1175C24C2511yescharacteristic
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—416no—
1209C2×D4C2×#4114yes—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—432no—
1239C22×C4—44no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4C2×#4118yes—
1249C22×C42−1+414yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4C2×#4114yes—
1354C4⋊C4H(5,𝔽2)14yes—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4C2×#4118yes—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—28no—
1417C42—24no—
1418C42—24no—
1419C42—28no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—44no—
1431C42—44no—
1432C42—41no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42C2×#4114yes—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—48no—
1470C23—48no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23C22×#4114yes—
1477C23C2×2−1+412yes—
1478C23C2611yescharacteristic
1479Q8—44no—
1480Q8—48no—
1481Q8—44no—
1482Q8—88no—
1483Q8—164no—
1484D4—28no—
1485D4—44no—
1486D4—48no—
1487D4—44no—
1488D4—84no—
1489D4—84no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—28no—
1501C2×C4—216no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C22—22no—
1597C22—24no—
1598C22—22no—
1599C22—24no—
1600C22—24no—
1601C22—22no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—816no—
1625C22C23×#4111yescharacteristic
1626C22C22×H(5,𝔽2)11yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C222−1+611yescharacteristic
1632C4—22no—
1633C4—22no—
1634C4—24no—
1635C4—22no—
1636C4—24no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—44no—
1646C4—41no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4#349314yes—
1662C4#352014yes—
1663C2—44no—
1664C2—42no—
1665C2—81no—
1666C2—82no—
1667C2#6275211yescharacteristic
1668C2C2×#352011yescharacteristic
1669C2C2×#349311yescharacteristic
1670C2#6292211yescharacteristic
1671C2#6295911yescharacteristic
1672C2#6300911yescharacteristic
1673C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59751C2semidirect
2. #59434C2semidirect
3. #59259C2semidirect
4. #59244C2semidirect
5. #59200C2semidirect
6. #49400C2semidirect
7. #48347C2semidirect
8. #45953C2semidirect
9. #45295C2semidirect
10. #45128C2semidirect
11. #45098C2semidirect
12. #45089C2semidirect
13. #42684C2semidirect
14. #42656C2semidirect
16. #42634C2semidirect
17. #39761C2semidirect
18. #39737C2semidirect
19. #39369C2semidirect
20. #38923C2semidirect
21. #38897C2semidirect
22. #38284C2semidirect
23. #37859C2semidirect
24. #36454C2semidirect
25. #36439C2semidirect
26. #36288C2semidirect
27. #36194C2semidirect
28. #36161C2semidirect
29. #35214C2semidirect
30. #35151C2semidirect
31. #34793C2semidirect
33. #34481C2semidirect
34. #34383C2semidirect
35. D4×#117C2semidirect
37. C2×#556C22semidirect
38. C2×#544C22semidirect
42. #2868C22semidirect
43. #2862C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
48. #2852C22semidirect
52. #2810C22semidirect
53. #2802C22semidirect
54. #2793C22semidirect
55. #2793C22semidirect
56. #2793C22semidirect
57. #2789C22semidirect
58. #2785C22semidirect
59. #2783C22semidirect
61. #2777C22semidirect
62. #2775C22semidirect
63. #2773C22semidirect
64. #2772C22semidirect
66. #2758C22semidirect
68. #2741C22semidirect
73. #2731C22semidirect
75. #2725C22semidirect
76. #2722C22semidirect
77. #2720C22semidirect
78. #2716C22semidirect
79. #2715C22semidirect
82. #2695C22semidirect
84. #2677C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
90. #2628C22semidirect
93. #2625C22semidirect
95. #2612C22semidirect
98. #2594C22semidirect
99. #2585C22semidirect
100. #2585C22semidirect
101. #2582C22semidirect
102. #2577C22semidirect
103. #2575C22semidirect
104. #2575C22semidirect
106. #2574C22semidirect
108. #2571C22semidirect
109. #2565C22semidirect
111. #2562C22semidirect
112. #2560C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2551C22semidirect
118. #2546C22semidirect
123. #2530C22semidirect
124. #2530C22semidirect
125. #2528C22semidirect
126. #2527C22semidirect
127. #2526C22semidirect
128. #2519C22semidirect
129. #2519C22semidirect
130. #2518C22semidirect
132. #2517C22semidirect
133. #2517C22semidirect
135. #2514C22semidirect
138. #2511C22semidirect
139. #2511C22semidirect
140. #2511C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2506C22semidirect
145. #2506C22semidirect
147. #2499C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2496C22semidirect
154. #2496C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
168. #2485C22semidirect
172. #2478C22semidirect
173. #2474C22semidirect
175. #2469C22semidirect
181. #2453C22semidirect
187. #2446C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2440C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
207. #2429C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
216. #2417C22semidirect
224. #2383C22semidirect
225. #2376C22semidirect
226. #2373C22semidirect
227. #2370C22semidirect
228. #2369C22semidirect
229. #2369C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
238. #2360C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
246. #2354C22semidirect
249. #2352C22semidirect
250. Q8×C4⋊C4C22semidirect
251. Q8×C4⋊C4C22semidirect
252. Q8×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2347C22semidirect
261. #2334C22semidirect
262. #2334C22semidirect
263. #2331C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2320C22semidirect
270. #2317C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
276. C4×#125C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
284. #2298C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#597512
#594342
#592592
#592442
#592002
#494002
#483472
#459532
#452952
#451282
#450982
#450892
#426842
#426562
#426422
#426342
#397612
#397372
#393692
#389232
#388972
#382842
#378592
#364542
#364392
#362882
#361942
#361612
#352142
#351512
#347932
#347002
#344812
#343832
D4×#1172