Finite Group Databasebeta

← #7680445

Subgroups — #7680445

Order 512.

5087 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59764C212yesmaximal, complemented
2#59749C212yesmaximal, complemented
3#59717C212yesmaximal, complemented
4#59500C212yesmaximal, complemented
5#59483C212yesmaximal, complemented
6#59478C212yesmaximal, complemented
7#59460C212yesmaximal, complemented
8#59446C212yesmaximal, complemented
9#44756C214yesmaximal, complemented
10#44702C214yesmaximal, complemented
11#44393C214yesmaximal, complemented
12#44359C214yesmaximal, complemented
13#39555C212yesmaximal, complemented
14#39497C211yesmaximal, characteristic, complemented
15#39417C212yesmaximal, complemented
16#39363C211yesmaximal, characteristic, complemented
17#39149C211yesmaximal, characteristic, complemented
18#39147C211yesmaximal, characteristic, complemented
19#38063C212yesmaximal, complemented
20#38055C212yesmaximal, complemented
21#36591C211yesmaximal, characteristic, complemented
22#36563C211yesmaximal, characteristic, complemented
23#36410C211yesmaximal, characteristic
24#36274C211yesmaximal, characteristic, complemented
25#35675C212yesmaximal, complemented
26#35606C212yesmaximal, complemented
27#35300C212yesmaximal, complemented
28#35277C211yesmaximal, characteristic, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34951C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34276C212yesmaximal, complemented
34#34125C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#542C2212yes—
39C2×#541C2211yescharacteristic
40C2×#536C2212yes—
41C2×#520C2212yes—
42C2×#519C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2861C2212yes—
46#2859C2212yes—
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2212yes—
51#2854C2212yes—
52#2800C2214yes—
53#2790C2214yes—
54#2779C2214yes—
55#2776C2214yes—
56#2772C2214yes—
57#2764C2214yes—
58#2763C2214yes—
59#2761C2214yes—
60#2759C2214yes—
61#2757C2214yes—
62#2754C2214yes—
63#2753C2214yes—
64#2751C2214yes—
65#2740C2214yes—
66#2739C2214yes—
67#2737C2214yes—
68#2729C2214yes—
69#2707C2214yes—
70#2705C2214yes—
71#2704C2214yes—
72#2702C2214yes—
73#2701C2214yes—
74#2681C2214yes—
75#2681C2214yes—
76#2645C2212yes—
77#2644C2212yes—
78#2640C2212yes—
79#2629C2212yes—
80#2620C2212yes—
81#2620C2212yes—
82#2610C2214yes—
83#2604C2214yes—
84#2602C2214yes—
85#2602C2214yes—
86#2601C2214yes—
87#2595C2214yes—
88#2594C2214yes—
89#2593C2214yes—
90#2592C2214yes—
91#2587C2214yes—
92#2587C2214yes—
93#2585C2214yes—
94#2583C2214yes—
95#2582C2211yescharacteristic
96#2582C2211yescharacteristic
97#2577C2214yes—
98#2576C2214yes—
99#2574C2214yes—
100#2571C2211yescharacteristic
101#2570C2212yes—
102#2568C2211yescharacteristic
103#2567C2212yes—
104#2566C2212yes—
105#2566C2212yes—
106#2564C2214yes—
107#2560C2214yes—
108#2558C2214yes—
109#2558C2214yes—
110#2558C2214yes—
111#2556C2214yes—
112#2554C2214yes—
113#2552C2212yes—
114#2552C2211yescharacteristic
115#2550C2212yes—
116#2550C2214yes—
117#2548C2211yescharacteristic
118#2548C2211yescharacteristic
119#2546C2211yescharacteristic
120#2529C2214yes—
121#2526C2214yes—
122#2523C2214yes—
123#2517C2214yes—
124#2516C2214yes—
125#2513C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2512C2212yes—
130#2512C2212yes—
131#2511C2212yes—
132#2510C2214yes—
133#2509C2212yes—
134#2509C2212yes—
135#2507C2214yes—
136#2507C2212yes—
137#2497C2212yes—
138#2494C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2490C2212yes—
142#2488C2214yes—
143#2478C2214yes—
144#2477C2214yes—
145#2476C2214yes—
146#2475C2214yes—
147#2474C2214yes—
148#2471C2214yes—
149#2470C2214yes—
150#2468C2214yes—
151#2465C2214yes—
152#2464C2214yes—
153#2461C2214yes—
154#2460C2214yes—
155#2458C2214yes—
156#2453C2212yes—
157#2452C2212yes—
158#2452C2212yes—
159#2452C2212yes—
160#2452C2212yes—
161#2452C2212yes—
162#2451C2212yes—
163#2451C2212yes—
164#2451C2212yes—
165#2450C2214yes—
166#2448C2212yes—
167#2448C2212yes—
168#2448C2212yes—
169#2448C2212yes—
170#2447C2212yes—
171#2446C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2445C2212yes—
175#2440C2212yes—
176#2439C2212yes—
177#2439C2212yes—
178#2438C2214yes—
179#2436C2212yes—
180#2432C2212yes—
181#2431C2212yes—
182#2429C2212yes—
183#2426C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2422C2212yes—
187#2422C2212yes—
188#2421C2212yes—
189#2419C2214yes—
190#2417C2212yes—
191#2415C2214yes—
192#2414C2212yes—
193#2413C2214yes—
194#2409C2212yes—
195#2407C2212yes—
196#2402C2214yes—
197#2395C2214yes—
198#2369C2212yes—
199#2367C2212yes—
200#2367C2212yes—
201#2366C2212yes—
202#2366C2211yescharacteristic
203#2365C2212yes—
204#2365C2211yescharacteristic
205#2363C2212yes—
206#2362C2212yes—
207#2362C2214yes—
208#2362C2214yes—
209#2362C2214yes—
210#2361C2214yes—
211#2361C2212yes—
212#2360C2214yes—
213#2360C2214yes—
214#2359C2214yes—
215#2359C2214yes—
216#2359C2214yes—
217#2359C2214yes—
218#2357C2211yescharacteristic
219#2357C2212yes—
220#2357C2212yes—
221#2357C2211yescharacteristic
222#2357C2212yes—
223#2355C2212yes—
224#2354C2212yes—
225#2354C2211yescharacteristic
226#2351C2211yescharacteristic
227#2351C2211yescharacteristic
228Q8×C4⋊C4C2211yescharacteristic
229Q8×C4⋊C4C2211yescharacteristic
230#2349C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233#2347C2211yescharacteristic
234#2347C2212yes—
235#2347C2211yescharacteristic
236#2347C2212yes—
237#2341C2212yes—
238#2341C2211yescharacteristic
239#2341C2211yescharacteristic
240Q8×C22⋊C4C2212yes—
241#2339C2212yes—
242#2336C2212yes—
243#2336C2212yes—
244#2334C2212yes—
245#2334C2212yes—
246#2330C2211yescharacteristic
247#2327C2211yescharacteristic
248#2327C2212yes—
249#2326C2212yes—
250#2326C2212yes—
251#2324C2212yes—
252#2324C2214yes—
253#2323C2212yes—
254#2323C2214yes—
255#2323C2211yescharacteristic
256#2323C2211yescharacteristic
257#2320C2211yescharacteristic
258#2320C2211yescharacteristic
259#2317C2212yes—
260#2314C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279#2297C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282C2×#391C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#550—28no—
303D4×Q8—28no—
304#542—48no—
305#541—28no—
306#536—216no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348#520—48no—
349#519—48no—
350C4×#41—28no—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#392C2314yes—
470#392C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#383C2312yes—
701#383C2312yes—
702#383C2312yes—
703#383C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C2×#41—28no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—42no—
824C22×Q8—28no—
825C22×Q8—28no—
826C22×Q8—44no—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—82no—
858C4⋊Q8#4118yescomplemented
859#127—28no—
860#127—24no—
861#126—28no—
862#126—28no—
863#126—48no—
864#125—28no—
865#125—28no—
866#125—24no—
867#125—44no—
868#125—84no—
869#124—28no—
870#124—28no—
871#124—28no—
872#124—48no—
873#124—44no—
874#123—216no—
875#123—216no—
876#123—48no—
877#123—84no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—84no—
888#121—28no—
889#121—216no—
890#121—44no—
891#121—44no—
892#121—82no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—48no—
905C4×Q8—48no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—48no—
923C4×D4—84no—
924C4×D4—82no—
925C4×D4#4118yes—
926#117—24no—
927#117—28no—
928#117—28no—
929#117—24no—
930#117—28no—
931#117—24no—
932#117—48no—
933#117—48no—
934#117—48no—
935#117—44no—
936#117—84no—
937C2×C4⋊C4—48no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—28no—
1060C2×C42—24no—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179C24C2511yescharacteristic
1180C24C2514yes—
1181C24C2512yes—
1182#41—432no—
1183#41—416no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—28no—
1188C2×Q8—28no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—432no—
1200C2×Q8C2×#4114yes—
1201C2×Q8C2×#4114yes—
1202C2×Q82−1+414yes—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4C2×#4114yes—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2×#4118yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4C2×#4114yes—
1362C4⋊C4C2×#4118yes—
1363C4⋊C4C2×#4118yes—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4C2×#4118yes—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—41no—
1438C42—42no—
1439C42—42no—
1440C42—41no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—41no—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C42H(5,𝔽2)14yes—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—24no—
1466C23—21no—
1467C23—24no—
1468C23—21no—
1469C23—24no—
1470C23—24no—
1471C23—21no—
1472C23—24no—
1473C23—21no—
1474C23—24no—
1475C23—21no—
1476C23—21no—
1477C23—24no—
1478C23C22×#4114yes—
1479C23C2611yescharacteristic
1480Q8—28no—
1481Q8—28no—
1482Q8—28no—
1483Q8—416no—
1484Q8—48no—
1485Q8—164no—
1486D4—28no—
1487D4—48no—
1488D4—416no—
1489D4—48no—
1490D4—48no—
1491D4—84no—
1492D4—88no—
1493D4—164no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—216no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—416no—
1577C2×C4—416no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—82no—
1582C2×C4—88no—
1583C2×C4—84no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×2−1+414yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4#58512yes—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—44no—
1610C22—41no—
1611C22—44no—
1612C22—41no—
1613C22—44no—
1614C22—41no—
1615C22—44no—
1616C22—41no—
1617C22—44no—
1618C22—44no—
1619C22—41no—
1620C22—44no—
1621C22—41no—
1622C22C23×#4111yescharacteristic
1623C22C23×#4111yescharacteristic
1624C22C22×H(5,𝔽2)11yescharacteristic
1625C22C22×2−1+411yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22H(7,𝔽2)11yescharacteristic
1628C222−1+611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—24no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—24no—
1636C4—24no—
1637C4—24no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—41no—
1657C4—41no—
1658C4—44no—
1659C4#348114yes—
1660C4#349514yes—
1661C2—44no—
1662C2—81no—
1663C2—84no—
1664C2C2×#348111yescharacteristic
1665C2C2×#349511yescharacteristic
1666C2#6285711yescharacteristic
1667C2#6294611yescharacteristic
1668C2#6296111yescharacteristic
1669C2#6299911yescharacteristic
1670C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59764C2semidirect
2. #59749C2semidirect
3. #59717C2semidirect
4. #59500C2semidirect
5. #59483C2semidirect
6. #59478C2semidirect
7. #59460C2semidirect
8. #59446C2semidirect
9. #44756C2semidirect
10. #44702C2semidirect
11. #44393C2semidirect
12. #44359C2semidirect
13. #39555C2semidirect
14. #39497C2semidirect
15. #39417C2semidirect
16. #39363C2semidirect
17. #39149C2semidirect
18. #39147C2semidirect
19. #38063C2semidirect
20. #38055C2semidirect
21. #36591C2semidirect
22. #36563C2semidirect
24. #36274C2semidirect
25. #35675C2semidirect
26. #35606C2semidirect
27. #35300C2semidirect
28. #35277C2semidirect
29. #34954C2semidirect
30. #34951C2semidirect
31. #34313C2semidirect
32. #34311C2semidirect
33. #34276C2semidirect
34. #34125C2semidirect
35. C4×#541C2semidirect
858. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597642
#597492
#597172
#595002
#594832
#594782
#594602
#594462
#447562
#447022
#443932
#443592
#395552
#394972
#394172
#393632
#391492
#391472
#380632
#380552
#365912
#365632
#364102
#362742
#356752
#356062
#353002
#352772
#349542
#349512
#343132
#343112
#342762
#341252
C4×#5412