Finite Group Databasebeta

← #7681916

Subgroups — #7681916

Order 512.

6982 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59550C212yesmaximal, complemented
5#59316C212yesmaximal, complemented
6#59161C214yesmaximal, complemented
7#59159C214yesmaximal, complemented
8#59066C212yesmaximal, complemented
9#45387C211yesmaximal, characteristic, complemented
10#45357C211yesmaximal, characteristic, complemented
11#45337C211yesmaximal, characteristic, complemented
12#45335C211yesmaximal, characteristic, complemented
13#45335C211yesmaximal, characteristic, complemented
14#45334C211yesmaximal, characteristic, complemented
15#45142C211yesmaximal, characteristic, complemented
16#45138C211yesmaximal, characteristic, complemented
17#43505C214yesmaximal, complemented
18#43015C214yesmaximal, complemented
19#39850C214yesmaximal, complemented
20#38384C214yesmaximal, complemented
21#38378C214yesmaximal, complemented
22#36232C214yesmaximal, complemented
23#35637C212yesmaximal, complemented
24#35526C212yesmaximal, complemented
25#35210C211yesmaximal, characteristic, complemented
26#35205C212yesmaximal, complemented
27#34909C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34295C212yesmaximal, complemented
30#34221C211yesmaximal, characteristic, complemented
31#34070C211yesmaximal, characteristic, complemented
32#3515—216no—
33#3482—216no—
34C2×#557C2211yescharacteristic
35C2×#557C2211yescharacteristic
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41C2×#552C2214yes—
42C2×#552C2214yes—
43C2×#552C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#550C2212yes—
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#547C2211yescharacteristic
50C2×#547C2211yescharacteristic
51C2×#547C2212yes—
52C2×#547C2212yes—
53C2×#541C2212yes—
54C2×#539C2214yes—
55C2×#533C2212yes—
56C2×#533C2211yescharacteristic
57C2×#532C2211yescharacteristic
58C2×#529C2212yes—
59C2×#529C2211yescharacteristic
60C2×#529C2214yes—
61C2×#529C2212yes—
62C22×#125C2212yes—
63C2×#520C2212yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2211yescharacteristic
67C2×C4×#41C2212yes—
68C22×C4×Q8C2212yes—
69#2852C2214yes—
70#2852C2214yes—
71#2851C2214yes—
72#2732C2214yes—
73#2730C2214yes—
74#2730C2214yes—
75#2728C2214yes—
76#2723C2214yes—
77#2722C2214yes—
78#2721C2214yes—
79#2719C2214yes—
80#2719C2214yes—
81#2711C2214yes—
82#2711C2214yes—
83#2695C2214yes—
84#2694C2214yes—
85#2694C2214yes—
86#2693C2214yes—
87#2692C2214yes—
88#2691C2214yes—
89#2690C2214yes—
90#2676C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2672C2214yes—
94#2671C2214yes—
95#2671C2214yes—
96#2638C2212yes—
97#2636C2214yes—
98#2635C2212yes—
99#2633C2214yes—
100#2611C2212yes—
101#2611C2212yes—
102#2611C2214yes—
103#2610C2212yes—
104#2610C2212yes—
105#2609C2214yes—
106#2604C2214yes—
107#2604C2212yes—
108#2603C2212yes—
109#2602C2214yes—
110#2601C2214yes—
111#2600C2214yes—
112#2599C2212yes—
113#2599C2214yes—
114#2598C2212yes—
115#2598C2214yes—
116#2581C2211yescharacteristic
117#2581C2211yescharacteristic
118#2580C2211yescharacteristic
119#2580C2211yescharacteristic
120#2565C2214yes—
121#2564C2212yes—
122#2560C2214yes—
123#2559C2214yes—
124#2558C2214yes—
125#2557C2214yes—
126#2556C2214yes—
127#2554C2214yes—
128#2553C2214yes—
129#2553C2214yes—
130#2550C2212yes—
131#2546C2212yes—
132#2543C2212yes—
133#2542C2212yes—
134#2536C2211yescharacteristic
135#2536C2211yescharacteristic
136#2536C2212yes—
137#2536C2214yes—
138#2535C2211yescharacteristic
139#2535C2211yescharacteristic
140#2521C2214yes—
141#2519C2214yes—
142#2519C2214yes—
143#2506C2214yes—
144#2498C2212yes—
145#2492C2212yes—
146#2489C2212yes—
147#2485C2212yes—
148#2485C2212yes—
149#2481C2214yes—
150#2481C2214yes—
151#2479C2214yes—
152#2479C2214yes—
153#2475C2214yes—
154#2473C2214yes—
155#2473C2214yes—
156#2473C2214yes—
157#2473C2214yes—
158#2471C2214yes—
159#2467C2214yes—
160#2467C2214yes—
161#2464C2214yes—
162#2463C2214yes—
163#2463C2214yes—
164#2462C2214yes—
165#2462C2214yes—
166#2462C2214yes—
167#2460C2214yes—
168#2460C2214yes—
169#2458C2214yes—
170#2458C2214yes—
171#2458C2214yes—
172#2454C2212yes—
173#2452C2212yes—
174#2449C2214yes—
175#2449C2214yes—
176#2446C2212yes—
177#2446C2212yes—
178#2445C2214yes—
179#2443C2214yes—
180#2443C2214yes—
181#2443C2214yes—
182#2443C2214yes—
183#2441C2212yes—
184#2440C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2430C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2428C2214yes—
191#2427C2212yes—
192#2427C2212yes—
193#2423C2212yes—
194#2423C2212yes—
195#2423C2214yes—
196#2422C2214yes—
197#2421C2214yes—
198#2417C2212yes—
199#2415C2212yes—
200#2409C2214yes—
201#2409C2214yes—
202#2407C2212yes—
203#2407C2212yes—
204#2407C2212yes—
205#2407C2212yes—
206#2399C2211yescharacteristic
207#2398C2211yescharacteristic
208#2398C2211yescharacteristic
209#2397C2211yescharacteristic
210#2395C2212yes—
211#2388C2212yes—
212#2371C2214yes—
213#2368C2214yes—
214#2366C2214yes—
215#2366C2212yes—
216#2363C2214yes—
217#2363C2212yes—
218#2362C2214yes—
219#2361C2214yes—
220#2361C2212yes—
221#2360C2214yes—
222#2356C2214yes—
223#2352C2214yes—
224#2352C2214yes—
225#2352C2212yes—
226#2351C2212yes—
227D4×C4⋊C4C2214yes—
228#2343C2214yes—
229#2341C2212yes—
230#2341C2212yes—
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2328C2211yescharacteristic
234#2328C2211yescharacteristic
235#2328C2214yes—
236#2327C2211yescharacteristic
237#2327C2211yescharacteristic
238#2327C2211yescharacteristic
239#2327C2211yescharacteristic
240#2326C2211yescharacteristic
241#2326C2211yescharacteristic
242#2326C2211yescharacteristic
243#2326C2211yescharacteristic
244#2325C2214yes—
245#2325C2214yes—
246#2324C2212yes—
247#2324C2214yes—
248#2323C2212yes—
249#2320C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yes—
255C4×#121C2212yes—
256C4×#121C2214yes—
257#2297C2211yescharacteristic
258#2297C2211yescharacteristic
259#2290C2214yes—
260#2290C2214yes—
261#2290C2214yes—
262#2290C2212yes—
263#2290C2212yes—
264#2290C2214yes—
265#2285C2211yescharacteristic
266#2283C2211yescharacteristic
267#2276C2212yes—
268C2×#376C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C23×Q8C2312yes—
275#557—28no—
276#557—28no—
277#556—28no—
278#556—216no—
279#554—28no—
280#554—28no—
281#553—216no—
282#552—232no—
283#552—216no—
284#552—216no—
285#552—232no—
286#552—216no—
287#550—216no—
288D4×Q8—28no—
289#548—216no—
290#547—28no—
291#547—28no—
292#547—216no—
293#547—216no—
294#541—216no—
295#539—232no—
296#533—216no—
297#533D4116yescomplemented
298#532—28no—
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2314yes—
306C2×#127C2311yescharacteristic
307#529—216no—
308#529—216no—
309#529—232no—
310#529—28no—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125—216no—
319C2×#125C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373#520—216no—
374C4×#41—216no—
375C4×#41—28no—
376C4×#41—28no—
377C4×#41—28no—
378C2×C4×Q8—216no—
379C2×C4×Q8C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2314yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2314yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2314yes—
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C42C2314yes—
446C22×C42C2312yes—
447C22×C42C2312yes—
448C22×C42C2312yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2314yes—
456#400C2312yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#399C2312yes—
461#399C2312yes—
462#399C2312yes—
463#399C2314yes—
464#399C2312yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2312yes—
480#398C2312yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2312yes—
503#395C2312yes—
504#395C2312yes—
505#395C2314yes—
506#395C2312yes—
507#395C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2314yes—
551#391C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
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#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#384C2314yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#383C2314yes—
710#383C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2314yes—
718#381C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761#376C2311yescharacteristic
762#376C2311yescharacteristic
763#376C2311yescharacteristic
764#376C2311yescharacteristic
765#376C2314yes—
766#376C2312yes—
767#376C2312yes—
768#376C2312yes—
769C2×#95C2312yes—
770C2×#95C2312yes—
771C2×#41—28no—
772C2×#41—28no—
773C2×#41—24no—
774C2×#41—24no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—24no—
778C2×#41—24no—
779C2×#41—24no—
780C2×#41—42no—
781C2×#41—42no—
782C2×#41—44no—
783C2×#41—44no—
784C2×#41—44no—
785C22×Q8—28no—
786C22×Q8—48no—
787C22×Q8C2411yescharacteristic
788C22×Q8C2411yescharacteristic
789C22×Q8C2411yescharacteristic
790C22×Q8C2414yes—
791C22×Q8C2412yes—
792C22×Q8C2411yescharacteristic
793C22×Q8C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2411yescharacteristic
800C22×D4C2411yescharacteristic
801C22×D4C2411yescharacteristic
802C22×D4C2411yescharacteristic
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2414yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—28no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8C2×D418yes—
834C4⋊Q8C2×D418yes—
835#127—216no—
836#127#4118yescomplemented
837#126—216no—
838#126—216no—
839#126—216no—
840#126—216no—
841#126—216no—
842#126—28no—
843#126—216no—
844#125—216no—
845#125—216no—
846#125—28no—
847#125—28no—
848#125—216no—
849#125—28no—
850#125—216no—
851#125—216no—
852#125—28no—
853#125—24no—
854#125—216no—
855#125C2×D4116yes—
856#124—28no—
857#124—24no—
858#124—24no—
859#124—216no—
860#124—24no—
861#123—28no—
862#123—216no—
863#123—216no—
864#123—216no—
865#123—216no—
866#123—216no—
867#123—216no—
868#123—216no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—216no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8C2×D4116yes—
885C22⋊Q8C2×D4116yes—
886#121—216no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—216no—
891#121—24no—
892#121—28no—
893#121—28no—
894#121—216no—
895#121—216no—
896#121—44no—
897#121—44no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—216no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—216no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—28no—
913C4×Q8—44no—
914C4×Q8C2×D4116yes—
915C4×Q8C2×D4116yes—
916C4×D4—216no—
917C4×D4—216no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—216no—
927C4×D4—216no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—216no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—216no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—48no—
944#117—24no—
945#117—24no—
946#117—24no—
947#117—216no—
948#117—28no—
949#117—216no—
950#117—28no—
951#117—28no—
952#117—28no—
953#117—28no—
954#117—216no—
955#117—216no—
956#117C2×D4116yes—
957C2×C4⋊C4—216no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—216no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—216no—
963C2×C4⋊C4—28no—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C42—216no—
1077C2×C42—28no—
1078C2×C42—28no—
1079C2×C42—28no—
1080C2×C42—24no—
1081C2×C42—42no—
1082C2×C42C2×D418yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C24C2512yes—
1169#41—416no—
1170#41—416no—
1171#41—432no—
1172#41—432no—
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—28no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—28no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—42no—
1190C2×Q8—432no—
1191C2×Q8C22×D418yes—
1192C2×Q8C22×D418yes—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4C2×#4114yes—
1234C2×D4C2×#4114yes—
1235C2×D4C2×#41116yes—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4C22×D414yes—
1288C22×C4C22×D414yes—
1289C22×C4C22×D414yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4C22×D4116yes—
1370C4⋊C4C22×D418yes—
1371C4⋊C4C22×D4116yes—
1372C4⋊C4C22×D418yes—
1373C4⋊C4C22×D418yes—
1374C4⋊C4C22×D418yes—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4C22×D4116yes—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—28no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—28no—
1444C42—22no—
1445C42—22no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42C22×D414yes—
1452C42C22×D414yes—
1453C42C22×D414yes—
1454C42C22×D4116yes—
1455C42C22×D414yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—24no—
1461C23—24no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—24no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23C23×D412yes—
1484C23C22×#4114yes—
1485C23C22×#4114yes—
1486C23C2611yescharacteristic
1487Q8—28no—
1488Q8—216no—
1489Q8—48no—
1490Q8—416no—
1491Q8—44no—
1492Q8—44no—
1493Q8—44no—
1494D4—28no—
1495D4—28no—
1496D4—416no—
1497D4—48no—
1498D4—416no—
1499D4—416no—
1500D4—44no—
1501D4—44no—
1502D4—48no—
1503D4—48no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507D4—84no—
1508D4—84no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—416no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—416no—
1575C2×C4—416no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—84no—
1587C2×C4C23×D412yes—
1588C2×C4C23×D412yes—
1589C2×C4C23×D412yes—
1590C2×C4C23×D412yes—
1591C2×C4C23×D412yes—
1592C2×C4C23×D418yes—
1593C2×C4C23×D418yes—
1594C2×C4C23×D412yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4112yes—
1597C2×C4#58514yes—
1598C2×C4#58512yes—
1599C22—28no—
1600C22—28no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—24no—
1605C22—24no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22C24×D411yescharacteristic
1629C22C23×#4111yescharacteristic
1630C22C2×#58512yes—
1631C22C2×#58511yescharacteristic
1632C222−1+612yes—
1633C4—24no—
1634C4—22no—
1635C4—22no—
1636C4—24no—
1637C4—28no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—28no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4D4×#4114yes—
1659C2—44no—
1660C2—44no—
1661C2—42no—
1662C2—82no—
1663C2—82no—
1664C2C2×D4×#4111yescharacteristic
1665C2#6281111yescharacteristic
1666C2#6284811yescharacteristic
1667C2#6296712yes—
1668C2#6299112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3515C2semidirect
2. C2×#3482C2semidirect
3. #59811C2semidirect
4. #59550C2semidirect
5. #59316C2semidirect
6. #59161C2semidirect
7. #59159C2semidirect
8. #59066C2semidirect
9. #45387C2semidirect
10. #45357C2semidirect
11. #45337C2semidirect
12. #45335C2semidirect
13. #45335C2semidirect
14. #45334C2semidirect
15. #45142C2semidirect
16. #45138C2semidirect
17. #43505C2semidirect
18. #43015C2semidirect
19. #39850C2semidirect
20. #38384C2semidirect
21. #38378C2semidirect
22. #36232C2semidirect
23. #35637C2semidirect
24. #35526C2semidirect
25. #35210C2semidirect
26. #35205C2semidirect
27. #34909C2semidirect
28. #34876C2semidirect
29. #34295C2semidirect
30. #34221C2semidirect
31. #34070C2semidirect
297. #533D4semidirect
836. #127#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34822
#598112
#595502
#593162
#591612
#591592
#590662
#453872
#453572
#453372
#453352
#453342
#451422
#451382
#435052
#430152
#398502
#383842
#383782
#362322
#356372
#355262
#352102
#352052
#349092
#348762
#342952
#342212
#340702