Finite Group Databasebeta

← #7683729

Subgroups — #7683729

Order 512.

5330 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59902C212yesmaximal, complemented
2#59867C212yesmaximal, complemented
3#59769C212yesmaximal, complemented
4#59481C212yesmaximal, complemented
5#59479C212yesmaximal, complemented
6#59477C212yesmaximal, complemented
7#59475C212yesmaximal, complemented
8#59425C212yesmaximal, complemented
9#59270C214yesmaximal, complemented
10#59266C214yesmaximal, complemented
11#45391C212yesmaximal, complemented
12#45390C212yesmaximal, complemented
13#45340C212yesmaximal, complemented
14#45305C212yesmaximal, complemented
15#45192C212yesmaximal, complemented
16#45182C212yesmaximal, complemented
17#45149C212yesmaximal, complemented
18#44962C212yesmaximal, complemented
19#44474C214yesmaximal, complemented
20#44043C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35666C211yesmaximal, characteristic
23#35662C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35619C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2446C211yesmaximal, characteristic, complemented
30#34268C211yesmaximal, characteristic, complemented
31#34259C211yesmaximal, characteristic
32#34257C211yesmaximal, characteristic
33#34253C211yesmaximal, characteristic, complemented
34#34209C211yesmaximal, characteristic, complemented
35#34187C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2799C2214yes—
47#2796C2214yes—
48#2789C2214yes—
49#2786C2214yes—
50#2762C2214yes—
51#2762C2214yes—
52#2761C2214yes—
53#2758C2214yes—
54#2758C2214yes—
55#2757C2214yes—
56#2755C2214yes—
57#2755C2214yes—
58#2751C2214yes—
59#2747C2214yes—
60#2747C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2742C2214yes—
64#2740C2214yes—
65#2739C2214yes—
66#2738C2214yes—
67#2737C2214yes—
68#2723C2214yes—
69#2722C2214yes—
70#2612C2214yes—
71#2605C2214yes—
72#2605C2214yes—
73#2601C2214yes—
74#2597C2214yes—
75#2595C2214yes—
76#2592C2212yes—
77#2592C2212yes—
78#2588C2214yes—
79#2588C2214yes—
80#2586C2214yes—
81#2582C2212yes—
82#2582C2212yes—
83#2581C2212yes—
84#2581C2212yes—
85#2577C2214yes—
86#2577C2214yes—
87#2575C2214yes—
88#2574C2214yes—
89#2574C2214yes—
90#2573C2214yes—
91#2569C2214yes—
92#2568C2212yes—
93#2568C2212yes—
94#2568C2211yescharacteristic
95#2567C2211yescharacteristic
96#2566C2211yescharacteristic
97#2566C2211yescharacteristic
98#2565C2211yescharacteristic
99#2565C2211yescharacteristic
100#2564C2212yes—
101#2564C2212yes—
102#2563C2211yescharacteristic
103#2560C2214yes—
104#2542C2211yescharacteristic
105#2531C2214yes—
106#2530C2214yes—
107#2530C2214yes—
108#2527C2214yes—
109#2526C2214yes—
110#2523C2214yes—
111#2522C2214yes—
112#2522C2214yes—
113#2520C2214yes—
114#2520C2214yes—
115#2517C2214yes—
116#2516C2214yes—
117#2515C2214yes—
118#2514C2211yescharacteristic
119#2514C2211yescharacteristic
120#2514C2212yes—
121#2513C2211yescharacteristic
122#2513C2211yescharacteristic
123#2513C2212yes—
124#2512C2211yescharacteristic
125#2512C2211yescharacteristic
126#2512C2212yes—
127#2511C2211yescharacteristic
128#2511C2211yescharacteristic
129#2511C2212yes—
130#2510C2212yes—
131#2510C2212yes—
132#2510C2214yes—
133#2505C2214yes—
134#2505C2214yes—
135#2503C2212yes—
136#2502C2212yes—
137#2499C2212yes—
138#2499C2212yes—
139#2498C2214yes—
140#2498C2214yes—
141#2497C2212yes—
142#2496C2212yes—
143#2495C2212yes—
144#2494C2212yes—
145#2493C2214yes—
146#2493C2214yes—
147#2492C2212yes—
148#2492C2212yes—
149#2489C2212yes—
150#2489C2212yes—
151#2488C2214yes—
152#2488C2214yes—
153#2481C2212yes—
154#2481C2212yes—
155#2481C2214yes—
156#2479C2214yes—
157#2453C2212yes—
158#2453C2212yes—
159#2451C2212yes—
160#2451C2212yes—
161#2448C2212yes—
162#2448C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2446C2212yes—
166#2446C2212yes—
167#2446C2212yes—
168#2446C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2446C2212yes—
177#2438C2214yes—
178#2438C2214yes—
179#2438C2214yes—
180#2434C2212yes—
181#2434C2212yes—
182#2434C2212yes—
183#2434C2212yes—
184#2432C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2432C2212yes—
188#2423C2212yes—
189#2423C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2419C2214yes—
193#2419C2214yes—
194#2417C2212yes—
195#2417C2212yes—
196#2406C2214yes—
197#2406C2214yes—
198#2401C2212yes—
199#2401C2212yes—
200#2396C2212yes—
201#2396C2212yes—
202C2×#400C2212yes—
203C2×#398C2212yes—
204#2373C2214yes—
205#2373C2214yes—
206#2368C2214yes—
207#2367C2212yes—
208#2367C2212yes—
209#2365C2212yes—
210#2365C2212yes—
211#2365C2212yes—
212#2365C2212yes—
213#2365C2212yes—
214#2365C2212yes—
215#2359C2214yes—
216#2359C2214yes—
217#2356C2212yes—
218#2356C2212yes—
219#2356C2212yes—
220#2356C2212yes—
221#2355C2212yes—
222#2355C2212yes—
223#2355C2212yes—
224#2355C2212yes—
225#2353C2214yes—
226#2352C2214yes—
227#2347C2212yes—
228#2346C2212yes—
229#2345C2212yes—
230#2344C2214yes—
231#2344C2212yes—
232#2344C2214yes—
233#2343C2214yes—
234#2341C2212yes—
235#2341C2212yes—
236#2341C2212yes—
237#2341C2212yes—
238Q8×C22⋊C4C2212yes—
239Q8×C22⋊C4C2212yes—
240Q8×C22⋊C4C2212yes—
241Q8×C22⋊C4C2212yes—
242Q8×C22⋊C4C2212yes—
243Q8×C22⋊C4C2212yes—
244#2339C2214yes—
245#2339C2212yes—
246#2339C2212yes—
247#2339C2214yes—
248#2327C2212yes—
249#2327C2212yes—
250#2323C2212yes—
251#2323C2212yes—
252#2320C2212yes—
253#2319C2212yes—
254#2317C2211yescharacteristic
255#2316C2211yescharacteristic
256#2313C2214yes—
257#2311C2214yes—
258#2311C2211yescharacteristic
259#2311C2212yes—
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2212yes—
265#2310C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×#126C2212yes—
269C4×#126C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2212yes—
280#2297C2214yes—
281#2296C2211yescharacteristic
282#2295C2212yes—
283C2×#391C2212yes—
284C2×#391C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287#2293C2212yes—
288C2×#389C2211yescharacteristic
289C2×#387C2212yes—
290C2×#387C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2214yes—
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—28no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×Q8C2312yes—
309C23×Q8C2312yes—
310C23×Q8C2311yescharacteristic
311#536—28no—
312#536—44no—
313#533—44no—
314C2×C4⋊Q8—28no—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340#520—28no—
341#519—44no—
342#519—44no—
343C4×#41—44no—
344C2×C4×Q8—28no—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
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×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393#401C2312yes—
394#401C2312yes—
395#401C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#399C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#396C2312yes—
465#395C2312yes—
466#395C2312yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2312yes—
479#393C2312yes—
480#393C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
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#388C2314yes—
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#388C2314yes—
597#388C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
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#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#383C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
8222−1+4—464no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—216no—
829C2×#41—28no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—48no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41#4118yes—
838C22×Q8—28no—
839C22×Q8—28no—
840C22×Q8—28no—
841C22×Q8—24no—
842C22×Q8—24no—
843C22×Q8—24no—
844C22×Q8—28no—
845C22×Q8—24no—
846C22×Q8—24no—
847C22×Q8—44no—
848C22×Q8—44no—
849C22×Q8#4118yes—
850C22×Q8C2412yes—
851C22×Q8C2412yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2414yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C4⋊Q8—28no—
883C4⋊Q8—28no—
884C4⋊Q8—28no—
885C4⋊Q8—28no—
886C4⋊Q8—28no—
887C4⋊Q8—42no—
888C4⋊Q8—42no—
889C4⋊Q8—44no—
890#126—28no—
891#126—44no—
892#126—48no—
893#125—42no—
894#125—42no—
895#124—28no—
896#124—44no—
897#123—216no—
898#123—48no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—42no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×D4—216no—
925C4×D4—28no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930#117—28no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—44no—
938#117—48no—
939#117—48no—
940#117—48no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—28no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
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#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24C2512yes—
1187C24C2512yes—
1188C24C2511yescharacteristic
1189#41—232no—
1190#41—464no—
1191#41—432no—
1192#41—432no—
1193#41—416no—
1194C2×Q8—232no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—28no—
1203C2×Q8—28no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—432no—
1220C2×Q8—432no—
1221C2×Q8—416no—
1222C2×Q8C2×#4114yes—
1223C2×Q8C2×#4118yes—
1224C2×Q8C2×#4118yes—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—44no—
1238C2×D4C2×#4118yes—
1239C2×D4C2×#4114yes—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4C2×#4118yes—
1290C22×C4C2×#4118yes—
1291C22×C4C2×#4114yes—
1292C22×C4C2×#4114yes—
1293C22×C4H(5,𝔽2)14yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—41no—
1363C4⋊C4—44no—
1364C4⋊C4—41no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C42−1+414yescomplemented
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C42—28no—
1435C42—22no—
1436C42—22no—
1437C42—28no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—28no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23C22×#4114yes—
1487C23C22×#4112yes—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2611yescharacteristic
1491Q8—216no—
1492Q8—216no—
1493Q8—28no—
1494Q8—416no—
1495Q8—48no—
1496Q8—48no—
1497Q8—44no—
1498Q8—84no—
1499Q8—84no—
1500D4—216no—
1501D4—28no—
1502D4—416no—
1503D4—48no—
1504D4—44no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—216no—
1518C2×C4—216no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—416no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—416no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—84no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—84no—
1606C2×C4#551116yes—
1607C2×C4C22×#4118yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22C2×#55114yes—
1640C22C23×#4111yescharacteristic
1641C22C23×#4111yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C222−1+611yescharacteristic
1646C222−1+611yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—24no—
1652C4—28no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—44no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4C2×#55114yes—
1678C4C2×#55114yes—
1679C2—24no—
1680C2—44no—
1681C2—82no—
1682C2C22×#55111yescharacteristic
1683C2#6283511yescharacteristic
1684C2#6288811yescharacteristic
1685C2#6299511yescharacteristic
1686C2#6299811yescharacteristic
1687C2#6300111yescharacteristic
1688C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×2−1+4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59902C2semidirect
2. #59867C2semidirect
3. #59769C2semidirect
4. #59481C2semidirect
5. #59479C2semidirect
6. #59477C2semidirect
7. #59475C2semidirect
8. #59425C2semidirect
9. #59270C2semidirect
10. #59266C2semidirect
11. #45391C2semidirect
12. #45390C2semidirect
13. #45340C2semidirect
14. #45305C2semidirect
15. #45192C2semidirect
16. #45182C2semidirect
17. #45149C2semidirect
18. #44962C2semidirect
19. #44474C2semidirect
20. #44043C2semidirect
21. #35673C2semidirect
23. #35662C2semidirect
24. #35628C2semidirect
25. #35619C2semidirect
26. #35545C2semidirect
27. #34947C2semidirect
28. #34816C2semidirect
29. C2×#2446C2semidirect
30. #34268C2semidirect
33. #34253C2semidirect
34. #34209C2semidirect
35. #34187C2semidirect
1394. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#599022
#598672
#597692
#594812
#594792
#594772
#594752
#594252
#592702
#592662
#453912
#453902
#453402
#453052
#451922
#451822
#451492
#449622
#444742
#440432
#356732
#356662
#356622
#356282
#356192
#355452
#349472
#348162
C2×#24462
#342682
#342592
#342572
#342532
#342092
#341872