Finite Group Databasebeta

← #7690796

Subgroups — #7690796

Order 512.

4491 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59920C212yesmaximal, complemented
2#59888C214yesmaximal, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59583C212yesmaximal, complemented
5#59501C212yesmaximal, complemented
6#59451C211yesmaximal, characteristic
7#59443C212yesmaximal, complemented
8#59435C211yesmaximal, characteristic
9#45394C212yesmaximal
10#45154C212yesmaximal, complemented
11#44615C214yesmaximal, complemented
12#43813C214yesmaximal, complemented
13#40470C214yesmaximal, complemented
14#40201C212yesmaximal, complemented
15#40095C212yesmaximal, complemented
16#39801C212yesmaximal
17#39619C211yesmaximal, characteristic, complemented
18#39172C211yesmaximal, characteristic
19#36608C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36508C211yesmaximal, characteristic
22#36485C212yesmaximal
23#36476C211yesmaximal, characteristic
24#36380C212yesmaximal, complemented
25#36313C211yesmaximal, characteristic, complemented
26#36311C212yesmaximal, complemented
27#35974C212yesmaximal
28#35958C212yesmaximal, complemented
29#34975C212yesmaximal, complemented
30#34920C211yesmaximal, characteristic, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34328C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic
34C4×Q82C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic
37C2×#557C2212yes—
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41#2865C2214yes—
42#2864C2212yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2855C2212yes—
49#2794C2214yes—
50#2791C2214yes—
51#2788C2214yes—
52#2787C2214yes—
53#2777C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2775C2214yes—
57#2773C2214yes—
58#2769C2214yes—
59#2767C2214yes—
60#2759C2214yes—
61#2726C2214yes—
62#2721C2214yes—
63#2721C2214yes—
64#2720C2214yes—
65#2720C2214yes—
66#2716C2214yes—
67#2716C2214yes—
68#2713C2214yes—
69#2713C2214yes—
70#2666C2214yes—
71#2660C2212yes—
72#2654C2214yes—
73#2640C2212yes—
74#2612C2214yes—
75#2607C2214yes—
76#2605C2214yes—
77#2604C2214yes—
78#2604C2214yes—
79#2599C2214yes—
80#2596C2214yes—
81#2594C2214yes—
82#2594C2214yes—
83#2590C2212yes—
84#2589C2214yes—
85#2589C2214yes—
86#2588C2214yes—
87#2588C2212yes—
88#2587C2214yes—
89#2586C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2584C2211yescharacteristic
93#2582C2212yes—
94#2581C2212yes—
95#2581C2212yes—
96#2581C2212yes—
97#2581C2211yescharacteristic
98#2580C2212yes—
99#2575C2214yes—
100#2573C2214yes—
101#2571C2212yes—
102#2570C2212yes—
103#2570C2212yes—
104#2568C2212yes—
105#2568C2212yes—
106#2568C2211yescharacteristic
107#2567C2211yescharacteristic
108#2565C2211yescharacteristic
109#2565C2214yes—
110#2565C2212yes—
111#2565C2212yes—
112#2563C2211yescharacteristic
113#2552C2212yes—
114#2550C2211yescharacteristic
115#2546C2211yescharacteristic
116#2546C2211yescharacteristic
117#2545C2212yes—
118#2545C2212yes—
119#2542C2211yescharacteristic
120#2533C2214yes—
121#2533C2214yes—
122#2532C2214yes—
123#2532C2214yes—
124#2532C2214yes—
125#2528C2214yes—
126#2528C2214yes—
127#2528C2214yes—
128#2527C2214yes—
129#2525C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2520C2214yes—
133#2520C2214yes—
134#2520C2214yes—
135#2520C2212yes—
136#2519C2214yes—
137#2519C2214yes—
138#2519C2214yes—
139#2515C2214yes—
140#2514C2212yes—
141#2514C2212yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2214yes—
147#2514C2212yes—
148#2514C2212yes—
149#2513C2212yes—
150#2512C2212yes—
151#2511C2214yes—
152#2511C2212yes—
153#2509C2212yes—
154#2508C2211yescharacteristic
155#2508C2212yes—
156#2506C2212yes—
157#2506C2212yes—
158#2506C2211yescharacteristic
159#2499C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2492C2212yes—
163#2489C2212yes—
164#2478C2214yes—
165#2475C2214yes—
166#2475C2214yes—
167#2469C2214yes—
168#2469C2214yes—
169#2462C2212yes—
170#2453C2212yes—
171#2453C2214yes—
172#2453C2211yescharacteristic
173#2451C2212yes—
174#2451C2211yescharacteristic
175#2451C2212yes—
176#2448C2212yes—
177#2448C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2441C2212yes—
185#2439C2212yes—
186#2439C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2423C2212yes—
190#2423C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2402C2214yes—
194#2402C2212yes—
195#2401C2214yes—
196#2399C2212yes—
197#2373C2214yes—
198#2373C2212yes—
199#2373C2212yes—
200#2371C2214yes—
201#2371C2214yes—
202#2370C2214yes—
203#2370C2214yes—
204#2370C2212yes—
205#2369C2212yes—
206#2369C2214yes—
207#2369C2212yes—
208#2369C2211yescharacteristic
209#2367C2212yes—
210#2367C2211yescharacteristic
211#2367C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2212yes—
216#2365C2211yescharacteristic
217#2365C2212yes—
218#2365C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2357C2212yes—
225#2356C2212yes—
226#2356C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2214yes—
230#2356C2214yes—
231#2356C2211yescharacteristic
232#2356C2211yescharacteristic
233#2356C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241Q8×C4⋊C4C2212yes—
242Q8×C4⋊C4C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2211yescharacteristic
245Q8×C4⋊C4C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248#2347C2212yes—
249#2346C2212yes—
250#2346C2212yes—
251#2336C2214yes—
252#2336C2214yes—
253#2334C2214yes—
254#2330C2214yes—
255#2330C2212yes—
256#2327C2212yes—
257#2327C2212yes—
258#2326C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2214yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#125C2214yes—
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#126C2214yes—
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2214yes—
287#2295C2212yes—
288#2295C2212yes—
289#2276C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299Q82—28no—
300#557—216no—
301#557—28no—
302#556—28no—
303#556—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C42C2312yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2312yes—
439#395C2312yes—
440#395C2314yes—
441#395C2312yes—
442#395C2314yes—
443#395C2312yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2312yes—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2314yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2312yes—
499#389C2314yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
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#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2314yes—
679#384C2312yes—
680#384C2314yes—
681#383C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#381C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808C43C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832C4⋊Q8—216no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8#4118yes—
839#126—28no—
840#126—28no—
841#126—216no—
842#126—48no—
843#125—216no—
844#125—216no—
845#125—216no—
846#125—216no—
847#125—24no—
848#125—28no—
849#125—42no—
850#125—44no—
851#124—24no—
852#124—24no—
853#124—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—44no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—216no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—42no—
878C4×Q8—48no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8#4118yes—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—24no—
889#117—28no—
890#117—28no—
891#117—44no—
892#117—44no—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C42—44no—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—41no—
1163C2×Q8—41no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8C2×#4114yes—
1170C2×Q8C2×#4114yes—
1171C2×Q8C2×#4114yes—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—41no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4C2×#4114yes—
1299C4⋊C4C2×#4118yes—
1300C4⋊C4C2×#4118yes—
1301C4⋊C4C2×#4118yes—
1302C4⋊C42−1+414yes—
1303C4⋊C42−1+414yes—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C42—24no—
1324C42—24no—
1325C42—28no—
1326C42—22no—
1327C42—22no—
1328C42—28no—
1329C42—28no—
1330C42—28no—
1331C42—28no—
1332C42—24no—
1333C42—24no—
1334C42—28no—
1335C42—24no—
1336C42—24no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—22no—
1344C42—24no—
1345C42—28no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—28no—
1356C42—42no—
1357C42—42no—
1358C42—44no—
1359C42—42no—
1360C42—42no—
1361C42—42no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—42no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—41no—
1370C42—41no—
1371C42—42no—
1372C42—44no—
1373C42C2×#4114yes—
1374C42C2×#4114yes—
1375C42C2×#4118yes—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23C2611yescharacteristic
1384Q8—28no—
1385Q8—28no—
1386Q8—28no—
1387Q8—48no—
1388Q8—44no—
1389Q8—48no—
1390Q8—48no—
1391Q8—84no—
1392Q8—88no—
1393D4—44no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—84no—
1483C2×C4C22×#4114yes—
1484C2×C4C22×#4112yes—
1485C2×C4C22×#4114yes—
1486C2×C4C22×#4114yes—
1487C2×C4C22×#4114yes—
1488C2×C4C22×#4112yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4112yes—
1493C2×C4C2×2−1+414yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22C23×#4111yescharacteristic
1507C22C23×#4111yescharacteristic
1508C22C22×2−1+411yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C2×#58511yescharacteristic
1511C22C2×#58511yescharacteristic
1512C222−1+611yescharacteristic
1513C4—22no—
1514C4—24no—
1515C4—22no—
1516C4—24no—
1517C4—24no—
1518C4—22no—
1519C4—22no—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—42no—
1524C4—42no—
1525C4—44no—
1526C4—41no—
1527C4—41no—
1528C4—42no—
1529C4—42no—
1530C4—44no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—44no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—41no—
1544C4—44no—
1545C4#348214yes—
1546C4#350714yes—
1547C2—82no—
1548C2C2×#348211yescharacteristic
1549C2C2×#350711yescharacteristic
1550C2#6279311yescharacteristic
1551C2#6295011yescharacteristic
1552C2#6299511yescharacteristic
1553C2#6299811yescharacteristic
1554C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59920C2semidirect
2. #59888C2semidirect
3. #59828C2semidirect
4. #59583C2semidirect
5. #59501C2semidirect
7. #59443C2semidirect
10. #45154C2semidirect
11. #44615C2semidirect
12. #43813C2semidirect
13. #40470C2semidirect
14. #40201C2semidirect
15. #40095C2semidirect
17. #39619C2semidirect
19. #36608C2semidirect
20. #36556C2semidirect
24. #36380C2semidirect
25. #36313C2semidirect
26. #36311C2semidirect
28. #35958C2semidirect
29. #34975C2semidirect
30. #34920C2semidirect
31. #34337C2semidirect
32. #34328C2semidirect
34. C4×Q82C2semidirect

Maximal subgroups

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

subgroupindex
#599202
#598882
#598282
#595832
#595012
#594512
#594432
#594352
#453942
#451542
#446152
#438132
#404702
#402012
#400952
#398012
#396192
#391722
#366082
#365562
#365082
#364852
#364762
#363802
#363132
#363112
#359742
#359582
#349752
#349202
#343372
#343282
#343242
C4×Q822
C4×#5562