Finite Group Databasebeta

← #7681136

Subgroups — #7681136

Order 512.

5498 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59891C214yesmaximal, complemented
2#59882C214yesmaximal, complemented
3#59381C212yesmaximal, complemented
4#59380C212yesmaximal, complemented
5#59379C212yesmaximal, complemented
6#59376C212yesmaximal, complemented
7#45351C212yesmaximal, complemented
8#45308C212yesmaximal, complemented
9#45215C212yesmaximal, complemented
10#45087C212yesmaximal, complemented
11#44024C214yesmaximal, complemented
12#43978C214yesmaximal, complemented
13#39071C212yesmaximal, complemented
14#39065C212yesmaximal, complemented
15#38251C212yesmaximal, complemented
16#38249C212yesmaximal, complemented
17#38063C212yesmaximal, complemented
18#38055C212yesmaximal, complemented
19#36399C212yesmaximal, complemented
20#36279C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic
23#35574C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35289C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#34744C211yesmaximal, characteristic, complemented
29C2×#2451C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34259C211yesmaximal, characteristic, complemented
32#34257C211yesmaximal, characteristic, complemented
33#34254C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2863C2212yes—
47#2862C2212yes—
48#2860C2212yes—
49#2858C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2799C2214yes—
53#2797C2214yes—
54#2789C2214yes—
55#2764C2214yes—
56#2763C2214yes—
57#2761C2214yes—
58#2759C2214yes—
59#2759C2214yes—
60#2757C2214yes—
61#2754C2214yes—
62#2754C2214yes—
63#2751C2214yes—
64#2748C2214yes—
65#2745C2214yes—
66#2744C2214yes—
67#2742C2214yes—
68#2740C2214yes—
69#2740C2214yes—
70#2737C2214yes—
71#2737C2214yes—
72#2730C2214yes—
73#2723C2214yes—
74#2722C2214yes—
75#2717C2214yes—
76#2645C2212yes—
77#2644C2212yes—
78#2640C2212yes—
79#2640C2212yes—
80#2625C2212yes—
81#2624C2212yes—
82#2612C2214yes—
83#2610C2214yes—
84#2607C2214yes—
85#2605C2214yes—
86#2605C2214yes—
87#2603C2214yes—
88#2595C2214yes—
89#2586C2214yes—
90#2579C2214yes—
91#2577C2214yes—
92#2577C2214yes—
93#2576C2214yes—
94#2574C2214yes—
95#2574C2214yes—
96#2572C2214yes—
97#2564C2214yes—
98#2563C2212yes—
99#2563C2212yes—
100#2560C2214yes—
101#2557C2214yes—
102#2554C2214yes—
103#2547C2212yes—
104#2547C2212yes—
105#2531C2214yes—
106#2531C2214yes—
107#2527C2214yes—
108#2523C2214yes—
109#2523C2214yes—
110#2521C2214yes—
111#2521C2214yes—
112#2520C2214yes—
113#2520C2214yes—
114#2517C2214yes—
115#2515C2214yes—
116#2514C2212yes—
117#2513C2212yes—
118#2512C2212yes—
119#2511C2212yes—
120#2510C2214yes—
121#2510C2214yes—
122#2510C2214yes—
123#2505C2214yes—
124#2504C2214yes—
125#2498C2214yes—
126#2498C2214yes—
127#2497C2212yes—
128#2497C2212yes—
129#2496C2212yes—
130#2496C2212yes—
131#2495C2212yes—
132#2495C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2488C2214yes—
136#2481C2214yes—
137#2481C2214yes—
138#2471C2214yes—
139#2461C2214yes—
140#2452C2212yes—
141#2452C2212yes—
142#2451C2212yes—
143#2451C2212yes—
144#2451C2212yes—
145#2451C2212yes—
146#2451C2212yes—
147#2451C2212yes—
148#2451C2212yes—
149#2451C2212yes—
150#2451C2212yes—
151#2451C2212yes—
152#2448C2212yes—
153#2448C2212yes—
154#2448C2211yescharacteristic
155#2448C2211yescharacteristic
156#2447C2211yescharacteristic
157#2447C2211yescharacteristic
158#2446C2212yes—
159#2446C2212yes—
160#2446C2211yescharacteristic
161#2446C2211yescharacteristic
162#2445C2211yescharacteristic
163#2445C2211yescharacteristic
164#2444C2214yes—
165#2444C2212yes—
166#2444C2212yes—
167#2443C2214yes—
168#2443C2212yes—
169#2443C2212yes—
170#2440C2212yes—
171#2440C2212yes—
172#2439C2212yes—
173#2439C2212yes—
174#2438C2214yes—
175#2436C2212yes—
176#2436C2214yes—
177#2434C2212yes—
178#2432C2212yes—
179#2431C2212yes—
180#2430C2214yes—
181#2430C2214yes—
182#2423C2212yes—
183#2423C2212yes—
184#2423C2212yes—
185#2422C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2421C2212yes—
189#2420C2212yes—
190#2419C2214yes—
191#2409C2212yes—
192#2409C2212yes—
193#2409C2214yes—
194#2407C2212yes—
195#2407C2212yes—
196#2395C2212yes—
197#2395C2212yes—
198C2×#398C2212yes—
199C2×#395C2212yes—
200#2374C2214yes—
201#2372C2214yes—
202#2368C2214yes—
203#2364C2214yes—
204#2363C2212yes—
205#2362C2212yes—
206#2361C2212yes—
207#2361C2214yes—
208#2360C2212yes—
209#2357C2211yescharacteristic
210#2357C2211yescharacteristic
211#2356C2212yes—
212#2356C2211yescharacteristic
213#2356C2211yescharacteristic
214#2356C2212yes—
215#2355C2211yescharacteristic
216#2355C2212yes—
217#2355C2211yescharacteristic
218#2355C2212yes—
219#2354C2211yescharacteristic
220#2354C2211yescharacteristic
221#2353C2212yes—
222#2353C2212yes—
223#2352C2212yes—
224#2352C2212yes—
225#2343C2214yes—
226#2343C2214yes—
227#2343C2214yes—
228#2341C2212yes—
229#2341C2212yes—
230#2341C2212yes—
231#2341C2212yes—
232Q8×C22⋊C4C2212yes—
233Q8×C22⋊C4C2212yes—
234Q8×C22⋊C4C2212yes—
235Q8×C22⋊C4C2212yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238#2339C2212yes—
239#2339C2212yes—
240#2339C2214yes—
241#2339C2214yes—
242#2327C2212yes—
243#2326C2212yes—
244#2324C2212yes—
245#2323C2212yes—
246#2323C2212yes—
247#2323C2212yes—
248#2322C2214yes—
249#2320C2212yes—
250#2320C2212yes—
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2316C2211yescharacteristic
254#2311C2211yescharacteristic
255#2311C2211yescharacteristic
256#2311C2211yescharacteristic
257#2311C2212yes—
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2214yes—
261#2311C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#124C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×#123C2214yes—
270C4×#123C2212yes—
271C4×#123C2212yes—
272C4×#121C2212yes—
273#2298C2212yes—
274#2298C2212yes—
275#2297C2212yes—
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2214yes—
282#2296C2211yescharacteristic
283#2295C2212yes—
284#2295C2212yes—
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#391C2212yes—
288C2×#391C2212yes—
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2283C2212yes—
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—28no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312#537—28no—
313#536—28no—
314#532—44no—
315C2×C4⋊Q8—44no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345#520—44no—
346#519—28no—
347C4×#41—28no—
348C4×#41—44no—
349C2×C4×Q8—44no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2314yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
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#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#383C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2314yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
8222−1+4—464no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—216no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—48no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41#4118yes—
841C22×Q8—28no—
842C22×Q8—28no—
843C22×Q8—28no—
844C22×Q8—24no—
845C22×Q8—28no—
846C22×Q8—24no—
847C22×Q8—44no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—82no—
852C22×Q8#4118yes—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2414yes—
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2414yes—
860C22×Q8C2414yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C4⋊Q8—28no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897C4⋊Q8—42no—
898#127—42no—
899#126—84no—
900#126—84no—
901#124—28no—
902#124—48no—
903#124—42no—
904#124—42no—
905#124—84no—
906#123—216no—
907#123—28no—
908#123—44no—
909#123—84no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—48no—
915C22⋊Q8—84no—
916#121—28no—
917#121—216no—
918#121—28no—
919#121—44no—
920#121—44no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—28no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—42no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—84no—
947#117—28no—
948#117—24no—
949#117—216no—
950#117—24no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—28no—
955#117—44no—
956#117—44no—
957#117—44no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—82no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C42—28no—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
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#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202#41—232no—
1203#41—464no—
1204#41—432no—
1205#41—432no—
1206#41—416no—
1207#41—416no—
1208C2×Q8—232no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—28no—
1215C2×Q8—28no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—28no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—432no—
1231C2×Q8—432no—
1232C2×Q8—816no—
1233C2×Q8C2×#4114yes—
1234C2×Q8C2×#4118yes—
1235C2×Q8C2×#4118yes—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—28no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4C2×#4118yes—
1265C2×D4C2×#4114yes—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2×#4118yes—
1325C22×C4C2×#4118yes—
1326C22×C4C2×#4114yes—
1327C22×C4C2×#4114yes—
1328C22×C4H(5,𝔽2)14yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C42−1+414yescomplemented
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—28no—
1476C42—28no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—42no—
1493C42—42no—
1494C42—44no—
1495C42—44no—
1496C42—42no—
1497C42—42no—
1498C42—44no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23C22×#4114yes—
1529C23C22×#4112yes—
1530C23C22×#4112yes—
1531C23C2×H(5,𝔽2)12yes—
1532C23C2611yescharacteristic
1533Q8—216no—
1534Q8—216no—
1535Q8—28no—
1536Q8—416no—
1537Q8—44no—
1538Q8—44no—
1539Q8—88no—
1540Q8—88no—
1541D4—216no—
1542D4—28no—
1543D4—416no—
1544D4—48no—
1545D4—48no—
1546D4—44no—
1547D4—44no—
1548D4—84no—
1549D4—84no—
1550D4—88no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—216no—
1564C2×C4—216no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—416no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—416no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—84no—
1645C2×C4—82no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—82no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—164no—
1652C2×C4#551116yes—
1653C2×C4C22×#4118yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×2−1+412yes—
1662C2×C4C2×2−1+412yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4#58512yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22C2×#55114yes—
1693C22C23×#4111yescharacteristic
1694C22C23×#4111yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C22×2−1+411yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22H(7,𝔽2)11yescharacteristic
1699C222−1+611yescharacteristic
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—28no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—41no—
1717C4—44no—
1718C4—44no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—44no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4C2×#55114yes—
1730C4C2×#55114yes—
1731C2—24no—
1732C2—44no—
1733C2—82no—
1734C2—82no—
1735C2C22×#55111yescharacteristic
1736C2#6280511yescharacteristic
1737C2#6285711yescharacteristic
1738C2#6292411yescharacteristic
1739C2#6294211yescharacteristic
1740C2#6299911yescharacteristic
1741C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35660C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59891C2semidirect
2. #59882C2semidirect
3. #59381C2semidirect
4. #59380C2semidirect
5. #59379C2semidirect
6. #59376C2semidirect
7. #45351C2semidirect
8. #45308C2semidirect
9. #45215C2semidirect
10. #45087C2semidirect
11. #44024C2semidirect
12. #43978C2semidirect
13. #39071C2semidirect
14. #39065C2semidirect
15. #38251C2semidirect
16. #38249C2semidirect
17. #38063C2semidirect
18. #38055C2semidirect
19. #36399C2semidirect
20. #36279C2semidirect
21. #35673C2semidirect
23. #35574C2semidirect
24. #35545C2semidirect
25. #35289C2semidirect
26. #35267C2semidirect
27. #35255C2semidirect
28. #34744C2semidirect
29. C2×#2451C2semidirect
30. #34267C2semidirect
31. #34259C2semidirect
32. #34257C2semidirect
33. #34254C2semidirect
34. #34121C2semidirect
35. C4×#536C2semidirect
1417. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#598912
#598822
#593812
#593802
#593792
#593762
#453512
#453082
#452152
#450872
#440242
#439782
#390712
#390652
#382512
#382492
#380632
#380552
#363992
#362792
#356732
#356602
#355742
#355452
#352892
#352672
#352552
#347442
C2×#24512
#342672
#342592
#342572
#342542
#341212
C4×#5362