Finite Group Databasebeta

← #7780468

Subgroups — #7780468

Order 512.

4690 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59857C212yesmaximal, complemented
3#59821C211yesmaximal, characteristic, complemented
4#59653C211yesmaximal, characteristic, complemented
5#59427C211yesmaximal, characteristic, complemented
6#59200C212yesmaximal, complemented
7#52000C214yesmaximal, complemented
8#50294C214yesmaximal, complemented
9#46708C214yesmaximal, complemented
10#46701C214yesmaximal, complemented
11#45717C212yesmaximal, complemented
12#45624C212yesmaximal, complemented
13#45299C212yesmaximal, complemented
14#45156C212yesmaximal, complemented
15#42983C212yesmaximal, complemented
16#42696C212yesmaximal, complemented
17#40070C212yesmaximal, complemented
18#40011C212yesmaximal, complemented
19#39932C212yesmaximal, complemented
20#39911C212yesmaximal, complemented
21#39809C212yesmaximal, complemented
22#39766C212yesmaximal, complemented
23#39763C211yesmaximal, characteristic, complemented
24#39744C211yesmaximal, characteristic, complemented
25#37424C212yesmaximal
26#36594C211yesmaximal, characteristic, complemented
27#36590C211yesmaximal, characteristic, complemented
28#36505C211yesmaximal, characteristic, complemented
29#36405C211yesmaximal, characteristic, complemented
30#36161C211yesmaximal, characteristic, complemented
31#36161C211yesmaximal, characteristic, complemented
32#35319C211yesmaximal, characteristic, complemented
33#34916C211yesmaximal, characteristic, complemented
34#34430C212yesmaximal, complemented
35C4×#535C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic, complemented
40C2×#541C2212yes—
41C2×#535C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2861C2212yes—
46#2859C2211yescharacteristic, complemented
47#2858C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yescomplemented
51#2851C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2830C2214yes—
55#2827C2214yes—
56#2808C2214yescomplemented
57#2807C2214yescomplemented
58#2800C2214yescomplemented
59#2800C2214yescomplemented
60#2798C2214yescomplemented
61#2796C2214yescomplemented
62#2796C2214yescomplemented
63#2793C2214yescomplemented
64#2790C2214yescomplemented
65#2788C2214yescomplemented
66#2787C2214yescomplemented
67#2783C2214yescomplemented
68#2783C2214yescomplemented
69#2773C2214yescomplemented
70#2771C2214yescomplemented
71#2770C2214yescomplemented
72#2768C2214yescomplemented
73#2765C2214yescomplemented
74#2761C2214yescomplemented
75#2761C2214yescomplemented
76#2757C2214yescomplemented
77#2757C2214yescomplemented
78#2751C2214yescomplemented
79#2751C2214yescomplemented
80#2736C2214yes—
81#2735C2214yes—
82#2735C2214yes—
83#2735C2214yes—
84#2727C2214yescomplemented
85#2725C2214yescomplemented
86#2721C2214yescomplemented
87#2721C2214yescomplemented
88#2711C2214yes—
89#2711C2214yes—
90#2711C2214yes—
91#2711C2214yes—
92#2685C2214yes—
93#2685C2214yes—
94#2685C2214yes—
95#2685C2214yes—
96#2658C2212yes—
97#2653C2214yes—
98#2651C2214yes—
99#2651C2214yes—
100#2649C2214yes—
101#2642C2212yescomplemented
102#2641C2212yes—
103#2621C2212yes—
104#2597C2214yescomplemented
105#2597C2214yescomplemented
106#2596C2214yescomplemented
107#2596C2214yescomplemented
108#2595C2214yescomplemented
109#2595C2214yescomplemented
110#2594C2214yescomplemented
111#2594C2214yescomplemented
112#2593C2214yes—
113#2592C2212yes—
114#2592C2212yes—
115#2592C2212yescomplemented
116#2590C2212yescomplemented
117#2589C2212yes—
118#2589C2214yescomplemented
119#2588C2212yescomplemented
120#2587C2212yes—
121#2587C2214yescomplemented
122#2582C2211yescharacteristic, complemented
123#2575C2214yescomplemented
124#2573C2214yescomplemented
125#2568C2212yescomplemented
126#2563C2212yescomplemented
127#2562C2212yes—
128#2548C2212yes—
129#2548C2212yes—
130#2547C2211yescharacteristic
131#2547C2211yescharacteristic
132#2547C2211yescharacteristic, complemented
133#2546C2211yescharacteristic, complemented
134#2546C2212yescomplemented
135#2545C2212yes—
136#2545C2212yes—
137#2545C2212yes—
138#2545C2212yes—
139#2545C2212yescomplemented
140#2542C2212yescomplemented
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic
143#2538C2212yescomplemented
144#2538C2211yescharacteristic, complemented
145#2538C2212yescomplemented
146#2536C2212yes—
147#2532C2214yescomplemented
148#2526C2214yescomplemented
149#2526C2214yescomplemented
150#2525C2214yescomplemented
151#2525C2214yescomplemented
152#2519C2214yescomplemented
153#2518C2214yes—
154#2516C2214yescomplemented
155#2516C2214yescomplemented
156#2514C2212yescomplemented
157#2513C2212yes—
158#2513C2212yes—
159#2513C2214yescomplemented
160#2513C2212yescomplemented
161#2512C2214yescomplemented
162#2512C2214yescomplemented
163#2512C2214yescomplemented
164#2511C2211yescharacteristic, complemented
165#2507C2211yescharacteristic, complemented
166#2506C2212yescomplemented
167#2506C2212yescomplemented
168#2506C2212yescomplemented
169#2506C2212yescomplemented
170#2497C2211yescharacteristic
171#2497C2212yescomplemented
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2495C2212yescomplemented
177#2494C2212yescomplemented
178#2492C2211yescharacteristic
179#2489C2212yescomplemented
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yescomplemented
184#2485C2212yescomplemented
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2480C2214yes—
188#2480C2214yes—
189#2478C2214yescomplemented
190#2475C2214yescomplemented
191#2468C2214yes—
192#2466C2214yes—
193#2466C2214yes—
194#2460C2214yes—
195#2451C2211yescharacteristic, complemented
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yescomplemented
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yescomplemented
202#2446C2212yescomplemented
203#2446C2211yescharacteristic, complemented
204#2446C2212yescomplemented
205#2441C2212yescomplemented
206#2441C2212yescomplemented
207#2441C2212yescomplemented
208#2439C2212yescomplemented
209#2435C2212yes—
210#2435C2212yes—
211#2432C2212yes—
212#2432C2212yes—
213#2429C2211yescharacteristic
214#2429C2212yescomplemented
215#2423C2211yescharacteristic
216#2423C2212yescomplemented
217#2423C2212yescomplemented
218#2421C2212yescomplemented
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2402C2212yescomplemented
227#2396C2212yes—
228#2383C2214yes—
229#2382C2214yescomplemented
230#2373C2214yes—
231#2370C2214yescomplemented
232#2367C2212yes—
233#2367C2212yes—
234#2367C2212yescomplemented
235#2365C2212yescomplemented
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2360C2212yes—
241#2360C2212yes—
242#2356C2212yescomplemented
243#2355C2211yescharacteristic, complemented
244#2355C2212yescomplemented
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic, complemented
248#2354C2212yescomplemented
249#2354C2212yescomplemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2351C2212yescomplemented
253Q8×C4⋊C4C2212yescomplemented
254#2347C2212yescomplemented
255#2346C2212yescomplemented
256#2336C2214yescomplemented
257#2334C2214yes—
258#2334C2214yes—
259#2330C2212yescomplemented
260#2330C2214yescomplemented
261#2328C2211yescharacteristic
262#2328C2211yescharacteristic
263#2327C2212yescomplemented
264#2327C2212yescomplemented
265#2326C2211yescharacteristic
266#2326C2211yescharacteristic
267#2324C2212yes—
268#2324C2212yes—
269#2321C2212yes—
270#2321C2212yes—
271#2317C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2212yescomplemented
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#125C2212yescomplemented
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2298C2212yes—
292#2296C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2295C2212yescomplemented
295#2280C2212yes—
296#2280C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#557—44no—
303#556—44no—
304#556—44no—
305#556—44no—
306#541—216no—
307#535—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C4×#41—44no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4—44no—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C22⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2314yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#382C2314yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2314yes—
730#382C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#379C2312yes—
755#379C2312yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4—42no—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C4⋊Q8—28no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—42no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#127—24no—
863#127—24no—
864#126—216no—
865#126—216no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—216no—
870#125—216no—
871#125—28no—
872#125—44no—
873#125—48no—
874#124—24no—
875#124—24no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—28no—
893#121—28no—
894#120—28no—
895#120—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924#117—42no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—42no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117#4118yes—
934C2×C4⋊C4—42no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—416no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—816no—
1265C22×C4C2×#4114yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4C2×#4114yes—
1425C22⋊C4C2×#4114yes—
1426C42—28no—
1427C42—28no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—42no—
1443C42—42no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—42no—
1448C42—41no—
1449C42—41no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42H(5,𝔽2)14yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—48no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23C22×#4112yes—
1498C23C2611yescharacteristic
1499Q8—48no—
1500Q8—48no—
1501Q8—44no—
1502Q8—44no—
1503Q8—44no—
1504Q8—84no—
1505D4—48no—
1506D4—48no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—28no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—816no—
1647C22C23×#4111yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C22C2×#58511yescharacteristic
1652C222−1+611yescharacteristic
1653C222−1+611yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—44no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—44no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4#350614yes—
1684C4#356214yes—
1685C2—42no—
1686C2—82no—
1687C2—82no—
1688C2—82no—
1689C2C2×#356211yescharacteristic
1690C2C2×#350611yescharacteristic
1691C2#6288811yescharacteristic
1692C2#6293611yescharacteristic
1693C2#6293911yescharacteristic
1694C2#6299511yescharacteristic
1695C2#6299511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59857C2semidirect
3. #59821C2semidirect
4. #59653C2semidirect
5. #59427C2semidirect
6. #59200C2semidirect
7. #52000C2semidirect
8. #50294C2semidirect
9. #46708C2semidirect
10. #46701C2semidirect
11. #45717C2semidirect
12. #45624C2semidirect
13. #45299C2semidirect
14. #45156C2semidirect
15. #42983C2semidirect
16. #42696C2semidirect
17. #40070C2semidirect
18. #40011C2semidirect
19. #39932C2semidirect
20. #39911C2semidirect
21. #39809C2semidirect
22. #39766C2semidirect
23. #39763C2semidirect
24. #39744C2semidirect
26. #36594C2semidirect
27. #36590C2semidirect
28. #36505C2semidirect
29. #36405C2semidirect
30. #36161C2semidirect
31. #36161C2semidirect
32. #35319C2semidirect
33. #34916C2semidirect
34. #34430C2semidirect
36. C2×#557C22semidirect
39. C2×#556C22semidirect
44. #2868C22semidirect
46. #2859C22semidirect
50. #2855C22semidirect
51. #2851C22semidirect
56. #2808C22semidirect
57. #2807C22semidirect
58. #2800C22semidirect
59. #2800C22semidirect
60. #2798C22semidirect
61. #2796C22semidirect
62. #2796C22semidirect
63. #2793C22semidirect
64. #2790C22semidirect
65. #2788C22semidirect
66. #2787C22semidirect
67. #2783C22semidirect
68. #2783C22semidirect
69. #2773C22semidirect
70. #2771C22semidirect
71. #2770C22semidirect
72. #2768C22semidirect
73. #2765C22semidirect
74. #2761C22semidirect
75. #2761C22semidirect
76. #2757C22semidirect
77. #2757C22semidirect
78. #2751C22semidirect
79. #2751C22semidirect
84. #2727C22semidirect
85. #2725C22semidirect
86. #2721C22semidirect
87. #2721C22semidirect
101. #2642C22semidirect
104. #2597C22semidirect
105. #2597C22semidirect
106. #2596C22semidirect
107. #2596C22semidirect
108. #2595C22semidirect
109. #2595C22semidirect
110. #2594C22semidirect
111. #2594C22semidirect
115. #2592C22semidirect
116. #2590C22semidirect
118. #2589C22semidirect
119. #2588C22semidirect
121. #2587C22semidirect
122. #2582C22semidirect
123. #2575C22semidirect
124. #2573C22semidirect
125. #2568C22semidirect
126. #2563C22semidirect
132. #2547C22semidirect
133. #2546C22semidirect
134. #2546C22semidirect
139. #2545C22semidirect
140. #2542C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
147. #2532C22semidirect
148. #2526C22semidirect
149. #2526C22semidirect
150. #2525C22semidirect
151. #2525C22semidirect
152. #2519C22semidirect
154. #2516C22semidirect
155. #2516C22semidirect
156. #2514C22semidirect
159. #2513C22semidirect
160. #2513C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2512C22semidirect
164. #2511C22semidirect
165. #2507C22semidirect
166. #2506C22semidirect
167. #2506C22semidirect
168. #2506C22semidirect
169. #2506C22semidirect
171. #2497C22semidirect
176. #2495C22semidirect
177. #2494C22semidirect
179. #2489C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
189. #2478C22semidirect
190. #2475C22semidirect
195. #2451C22semidirect
198. #2448C22semidirect
201. #2447C22semidirect
202. #2446C22semidirect
203. #2446C22semidirect
204. #2446C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
207. #2441C22semidirect
208. #2439C22semidirect
214. #2429C22semidirect
216. #2423C22semidirect
217. #2423C22semidirect
218. #2421C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
226. #2402C22semidirect
229. #2382C22semidirect
231. #2370C22semidirect
234. #2367C22semidirect
235. #2365C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2351C22semidirect
253. Q8×C4⋊C4C22semidirect
254. #2347C22semidirect
255. #2346C22semidirect
256. #2336C22semidirect
259. #2330C22semidirect
260. #2330C22semidirect
263. #2327C22semidirect
264. #2327C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
281. C4×#125C22semidirect
286. C4×C22⋊Q8C22semidirect
292. #2296C22semidirect
293. #2295C22semidirect
294. #2295C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#598572
#598212
#596532
#594272
#592002
#520002
#502942
#467082
#467012
#457172
#456242
#452992
#451562
#429832
#426962
#400702
#400112
#399322
#399112
#398092
#397662
#397632
#397442
#374242
#365942
#365902
#365052
#364052
#361612
#353192
#349162
#344302
C4×#5352