Finite Group Databasebeta

← #7681066

Subgroups — #7681066

Order 512.

5126 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59694C212yesmaximal, complemented
3#59690C214yesmaximal, complemented
4#59688C214yesmaximal, complemented
5#59581C212yesmaximal, complemented
6#59575C212yesmaximal, complemented
7#45342C212yesmaximal, complemented
8#45298C212yesmaximal, complemented
9#45220C212yesmaximal, complemented
10#45069C212yesmaximal, complemented
11#43625C214yesmaximal, complemented
12#43226C214yesmaximal, complemented
13#39555C212yesmaximal, complemented
14#39553C212yesmaximal, complemented
15#37947C212yesmaximal, complemented
16#37944C212yesmaximal, complemented
17#37897C212yesmaximal, complemented
18#37892C212yesmaximal, complemented
19#36202C212yesmaximal, complemented
20#36189C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic
24#35530C211yesmaximal, characteristic, complemented
25#35308C211yesmaximal, characteristic, complemented
26#35308C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2511C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic, complemented
31#34276C211yesmaximal, characteristic, complemented
32#34274C211yesmaximal, characteristic, complemented
33#34183C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2864C2212yes—
49#2859C2212yes—
50#2857C2212yes—
51#2857C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2802C2214yes—
55#2800C2214yes—
56#2796C2214yes—
57#2795C2214yes—
58#2793C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2783C2214yes—
62#2782C2214yes—
63#2779C2214yes—
64#2779C2214yes—
65#2777C2214yes—
66#2776C2214yes—
67#2772C2214yes—
68#2770C2214yes—
69#2753C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2746C2214yes—
73#2741C2214yes—
74#2741C2214yes—
75#2739C2214yes—
76#2718C2214yes—
77#2708C2214yes—
78#2647C2212yes—
79#2647C2212yes—
80#2621C2212yes—
81#2621C2212yes—
82#2620C2212yes—
83#2620C2212yes—
84#2606C2214yes—
85#2602C2214yes—
86#2597C2214yes—
87#2596C2214yes—
88#2596C2214yes—
89#2595C2214yes—
90#2594C2214yes—
91#2591C2214yes—
92#2590C2214yes—
93#2587C2214yes—
94#2587C2214yes—
95#2585C2214yes—
96#2585C2214yes—
97#2579C2214yes—
98#2578C2214yes—
99#2578C2214yes—
100#2577C2214yes—
101#2570C2214yes—
102#2558C2214yes—
103#2547C2212yes—
104#2546C2212yes—
105#2545C2212yes—
106#2544C2212yes—
107#2543C2214yes—
108#2531C2214yes—
109#2530C2214yes—
110#2525C2214yes—
111#2522C2214yes—
112#2516C2214yes—
113#2514C2211yescharacteristic
114#2514C2211yescharacteristic
115#2513C2211yescharacteristic
116#2513C2211yescharacteristic
117#2512C2211yescharacteristic
118#2512C2211yescharacteristic
119#2511C2211yescharacteristic
120#2511C2211yescharacteristic
121#2511C2212yes—
122#2511C2212yes—
123#2511C2212yes—
124#2511C2212yes—
125#2511C2212yes—
126#2511C2212yes—
127#2511C2212yes—
128#2511C2212yes—
129#2510C2212yes—
130#2510C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2507C2212yes—
134#2507C2214yes—
135#2506C2212yes—
136#2505C2214yes—
137#2502C2212yes—
138#2501C2212yes—
139#2500C2212yes—
140#2499C2212yes—
141#2498C2214yes—
142#2498C2214yes—
143#2497C2214yes—
144#2487C2214yes—
145#2481C2212yes—
146#2481C2212yes—
147#2481C2214yes—
148#2476C2214yes—
149#2473C2214yes—
150#2470C2214yes—
151#2467C2214yes—
152#2460C2214yes—
153#2457C2214yes—
154#2448C2212yes—
155#2448C2212yes—
156#2446C2212yes—
157#2446C2212yes—
158#2443C2214yes—
159#2443C2214yes—
160#2443C2214yes—
161#2442C2214yes—
162#2441C2214yes—
163#2429C2212yes—
164#2429C2212yes—
165#2429C2212yes—
166#2429C2212yes—
167#2429C2212yes—
168#2428C2212yes—
169#2427C2212yes—
170#2427C2212yes—
171#2427C2212yes—
172#2427C2212yes—
173#2427C2212yes—
174#2426C2212yes—
175#2425C2214yes—
176#2425C2214yes—
177#2425C2214yes—
178#2425C2214yes—
179#2425C2214yes—
180#2425C2214yes—
181#2423C2212yes—
182#2423C2212yes—
183#2423C2212yes—
184#2423C2212yes—
185#2422C2212yes—
186#2422C2212yes—
187#2421C2212yes—
188#2421C2212yes—
189#2417C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2416C2212yes—
193#2416C2214yes—
194#2415C2212yes—
195#2415C2212yes—
196#2415C2212yes—
197#2414C2212yes—
198#2401C2212yes—
199#2401C2212yes—
200C2×#400C2212yes—
201C2×#400C2212yes—
202#2374C2214yes—
203#2373C2214yes—
204#2367C2211yescharacteristic
205#2367C2211yescharacteristic
206#2367C2211yescharacteristic
207#2367C2211yescharacteristic
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2364C2212yes—
213#2364C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2361C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2359C2214yes—
233#2359C2214yes—
234#2359C2214yes—
235#2359C2214yes—
236#2352C2214yes—
237Q8×C4⋊C4C2212yes—
238Q8×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2214yes—
241D4×C4⋊C4C2214yes—
242D4×C4⋊C4C2212yes—
243#2345C2214yes—
244#2327C2212yes—
245#2327C2212yes—
246#2326C2212yes—
247#2326C2212yes—
248#2325C2214yes—
249#2320C2212yes—
250#2319C2212yes—
251#2318C2214yes—
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2212yes—
255#2317C2212yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2314C2212yes—
260#2314C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#121C2214yes—
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2212yes—
277C2×#391C2211yescharacteristic
278C2×#391C2211yescharacteristic
279C2×#391C2211yescharacteristic
280#2293C2212yes—
281#2293C2212yes—
282C2×#389C2211yescharacteristic
283#2290C2212yes—
284#2290C2214yes—
285#2290C2212yes—
286C2×#387C2212yes—
287C2×#387C2212yes—
288#2285C2211yescharacteristic
289#2285C2212yes—
290#2285C2212yes—
291C2×#384C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2212yes—
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303#537—28no—
304#537—44no—
305#536—28no—
306#536—28no—
307#536—44no—
308#532—28no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346#520—44no—
347#520—44no—
348#520—44no—
349#519—44no—
350C4×#41—28no—
351C4×#41—28no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2314yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C42C2312yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413#401C2312yes—
414#401C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#392C2314yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
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#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
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#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2314yes—
711#384C2312yes—
712#384C2312yes—
713#384C2314yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#383C2312yes—
720#383C2312yes—
721#383C2314yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2312yes—
730#381C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41#4118yes—
831C22×Q8—24no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—28no—
872C4⋊Q8—28no—
873C4⋊Q8—44no—
874#127—24no—
875#126—28no—
876#126—44no—
877#125—84no—
878#124—24no—
879#124—24no—
880#124—28no—
881#124—28no—
882#124—44no—
883#123—216no—
884#123—216no—
885#123—48no—
886#123—48no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—216no—
902#121—28no—
903#121—44no—
904#121—44no—
905#121—48no—
906#121—84no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—48no—
935C4×D4—48no—
936C4×D4—84no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—28no—
942#117—28no—
943#117—48no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—84no—
948#117#4118yes—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—48no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—84no—
960C2×C4⋊C4—82no—
961C2×C4⋊C4—82no—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—24no—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—28no—
1083C2×C42—28no—
1084C2×C42—82no—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199#41—232no—
1200#41—416no—
1201#41—416no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—416no—
1217C2×Q8C2×#4114yes—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4C2×#4118yes—
1247C2×D4C2×#4114yes—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4118yes—
1308C22×C4C2×#4114yes—
1309C22×C4C2×#4114yes—
1310C22×C4H(5,𝔽2)14yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—41no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4C2×#4114yes—
1407C4⋊C4C2×#4114yes—
1408C4⋊C42−1+414yes—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4C2×#4118yes—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42C2×#4118yes—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23C22×#4114yes—
1520C23C22×#4112yes—
1521C23C22×#4112yes—
1522C23C2×H(5,𝔽2)12yes—
1523C23C2611yescharacteristic
1524Q8—28no—
1525Q8—48no—
1526Q8—48no—
1527Q8—44no—
1528Q8—44no—
1529D4—216no—
1530D4—28no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—44no—
1535D4—44no—
1536D4—88no—
1537D4—84no—
1538D4—164no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—216no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—84no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—164no—
1637C2×C4—164no—
1638C2×C4—164no—
1639C2×C4#553116yes—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4C2×2−1+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22C2×#55314yes—
1681C22C23×#4111yescharacteristic
1682C22C23×#4111yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22H(7,𝔽2)11yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—22no—
1692C4—24no—
1693C4—22no—
1694C4—24no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—44no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—44no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4C2×#55314yes—
1718C4C2×#55314yes—
1719C2—24no—
1720C2—44no—
1721C2—82no—
1722C2—82no—
1723C2C22×#55311yescharacteristic
1724C2#6280511yescharacteristic
1725C2#6285711yescharacteristic
1726C2#6294611yescharacteristic
1727C2#6296111yescharacteristic
1728C2#6299311yescharacteristic
1729C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59697C2semidirect
2. #59694C2semidirect
3. #59690C2semidirect
4. #59688C2semidirect
5. #59581C2semidirect
6. #59575C2semidirect
7. #45342C2semidirect
8. #45298C2semidirect
9. #45220C2semidirect
10. #45069C2semidirect
11. #43625C2semidirect
12. #43226C2semidirect
13. #39555C2semidirect
14. #39553C2semidirect
15. #37947C2semidirect
16. #37944C2semidirect
17. #37897C2semidirect
18. #37892C2semidirect
19. #36202C2semidirect
20. #36189C2semidirect
21. #35673C2semidirect
22. #35621C2semidirect
24. #35530C2semidirect
25. #35308C2semidirect
26. #35308C2semidirect
27. #35265C2semidirect
28. #34816C2semidirect
29. C2×#2511C2semidirect
30. #34276C2semidirect
31. #34276C2semidirect
32. #34274C2semidirect
33. #34183C2semidirect
34. #34141C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#596972
#596942
#596902
#596882
#595812
#595752
#453422
#452982
#452202
#450692
#436252
#432262
#395552
#395532
#379472
#379442
#378972
#378922
#362022
#361892
#356732
#356212
#355642
#355302
#353082
#352652
#348162
C2×#25112
#342762
#342742
#341832
#341412
#340602