Finite Group Databasebeta

← #7714907

Subgroups — #7714907

Order 512.

6494 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3553C211yesmaximal, characteristic, complemented
2C22×#544C211yesmaximal, characteristic, complemented
3#51751C212yesmaximal, complemented
4#51750C212yesmaximal, complemented
5#51544C212yesmaximal, complemented
6#51543C212yesmaximal, complemented
7#51533C214yesmaximal, complemented
8#51532C214yesmaximal, complemented
9#47769C214yesmaximal, complemented
10#47720C214yesmaximal, complemented
11#47717C214yesmaximal, complemented
12#47692C214yesmaximal, complemented
13#39722C212yesmaximal, complemented
14#39720C212yesmaximal, complemented
15#39717C212yesmaximal, complemented
16#39716C212yesmaximal, complemented
17#39594C212yesmaximal, complemented
18#39592C212yesmaximal, complemented
19#39589C212yesmaximal, complemented
20#39588C212yesmaximal, complemented
21#37617C211yesmaximal, characteristic, complemented
22#37615C211yesmaximal, characteristic, complemented
23#37233C212yesmaximal, complemented
24#37120C212yesmaximal, complemented
25#35118C211yesmaximal, characteristic, complemented
26#35118C211yesmaximal, characteristic, complemented
27#35094C212yesmaximal, complemented
28#34989C212yesmaximal, complemented
29#34372C211yesmaximal, characteristic, complemented
30#3553—216no—
31C2×#564C2211yescharacteristic, complemented
32C2×#563C2211yescharacteristic, complemented
33C2×#563C2211yescharacteristic, complemented
34C2×#562C2211yescharacteristic, complemented
35C2×#554C2212yes—
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#552C2212yescomplemented
40C2×#552C2212yescomplemented
41C2×#544—216no—
42C2×#544C2212yes—
43C2×#544C2212yes—
44C2×#544C2214yes—
45C2×#544C2212yes—
46C2×#544C2212yes—
47C2×#544C2214yes—
48C2×#541C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#539C2212yes—
51C2×#539C2212yes—
52C2×#539C2212yescomplemented
53C2×#539C2212yescomplemented
54C22×C4⋊Q8C2212yes—
55C22×C4⋊Q8C2211yescharacteristic
56C22×C4⋊Q8C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2211yescharacteristic
59C22×#125C2211yescharacteristic
60C22×#125C2212yes—
61C22×#125C2211yescharacteristic
62C22×C22⋊Q8C2212yes—
63C22×C22⋊Q8C2212yes—
64C22×#117C2211yescharacteristic
65C22×#117C2211yescharacteristic
66C23×C4⋊C4C2211yescharacteristic
67#2855C2212yes—
68#2854C2212yes—
69#2853C2212yes—
70#2853C2212yes—
71#2849C2212yes—
72#2849C2212yes—
73#2848C2212yes—
74#2847C2212yes—
75#2821C2214yescomplemented
76#2821C2214yescomplemented
77#2726C2214yescomplemented
78#2725C2214yescomplemented
79#2723C2214yes—
80#2723C2214yes—
81#2721C2214yescomplemented
82#2721C2214yescomplemented
83#2720C2214yes—
84#2720C2214yes—
85#2720C2214yescomplemented
86#2719C2214yescomplemented
87#2719C2214yescomplemented
88#2719C2214yescomplemented
89#2716C2214yescomplemented
90#2716C2214yescomplemented
91#2716C2214yescomplemented
92#2716C2214yescomplemented
93#2713C2214yescomplemented
94#2713C2214yescomplemented
95#2713C2214yescomplemented
96#2713C2214yescomplemented
97#2713C2214yescomplemented
98#2711C2214yescomplemented
99#2707C2214yescomplemented
100#2704C2214yes—
101#2704C2214yescomplemented
102#2702C2214yes—
103#2696C2214yes—
104#2696C2214yes—
105#2694C2214yescomplemented
106#2694C2214yescomplemented
107#2692C2214yes—
108#2692C2214yes—
109#2692C2214yes—
110#2690C2214yes—
111#2690C2214yescomplemented
112#2690C2214yescomplemented
113#2683C2214yes—
114#2681C2214yes—
115#2677C2214yes—
116#2677C2214yescomplemented
117#2677C2214yescomplemented
118#2677C2214yescomplemented
119#2677C2214yescomplemented
120#2676C2214yes—
121#2674C2214yescomplemented
122#2674C2214yescomplemented
123#2674C2214yescomplemented
124#2674C2214yescomplemented
125#2660C2212yescomplemented
126#2658C2212yescomplemented
127#2642C2212yescomplemented
128#2640C2212yescomplemented
129#2628C2214yescomplemented
130#2627C2211yescharacteristic
131#2627C2211yescharacteristic
132#2627C2212yes—
133#2626C2212yes—
134#2626C2211yescharacteristic
135#2626C2211yescharacteristic
136#2623C2212yes—
137#2623C2212yes—
138#2623C2212yes—
139#2623C2212yes—
140#2621C2214yescomplemented
141#2618C2211yescharacteristic
142#2618C2212yes—
143#2618C2211yescharacteristic
144#2617C2212yes—
145#2617C2211yescharacteristic
146#2617C2211yescharacteristic
147#2611C2212yes—
148#2611C2212yes—
149#2610C2212yes—
150#2610C2212yes—
151#2609C2214yes—
152#2609C2214yes—
153#2601C2214yes—
154#2601C2214yes—
155#2599C2212yes—
156#2599C2212yes—
157#2598C2212yes—
158#2598C2212yes—
159#2591C2212yes—
160#2591C2212yes—
161#2583C2212yes—
162#2583C2212yes—
163#2579C2212yes—
164#2579C2212yes—
165#2579C2212yes—
166#2579C2212yes—
167#2568C2212yescomplemented
168#2560C2214yes—
169#2558C2214yescomplemented
170#2556C2214yes—
171#2556C2214yescomplemented
172#2551C2214yescomplemented
173#2550C2214yescomplemented
174#2547C2212yescomplemented
175#2546C2212yescomplemented
176#2542C2214yes—
177#2542C2212yescomplemented
178#2540C2214yes—
179#2519C2214yescomplemented
180#2506C2214yescomplemented
181#2504C2212yes—
182#2504C2212yes—
183#2502C2212yes—
184#2502C2212yes—
185#2492C2214yes—
186#2492C2214yescomplemented
187#2491C2214yescomplemented
188#2489C2214yes—
189#2487C2212yes—
190#2487C2212yes—
191#2487C2212yes—
192#2487C2212yes—
193#2481C2214yes—
194#2481C2214yes—
195#2479C2214yes—
196#2479C2214yes—
197#2477C2214yes—
198#2477C2214yes—
199#2477C2214yes—
200#2475C2214yes—
201#2475C2214yes—
202#2475C2214yescomplemented
203#2473C2214yes—
204#2473C2214yes—
205#2473C2214yescomplemented
206#2471C2214yes—
207#2471C2214yes—
208#2465C2214yes—
209#2463C2214yes—
210#2462C2214yescomplemented
211#2461C2214yes—
212#2460C2214yescomplemented
213#2452C2214yes—
214#2452C2214yescomplemented
215#2451C2214yescomplemented
216#2449C2214yes—
217#2449C2214yes—
218#2449C2214yes—
219#2443C2214yes—
220#2443C2214yes—
221#2440C2214yescomplemented
222#2439C2214yescomplemented
223#2436C2212yes—
224#2436C2212yes—
225#2434C2212yes—
226#2434C2212yes—
227#2429C2214yes—
228#2427C2214yes—
229#2417C2214yes—
230#2415C2214yes—
231#2409C2212yes—
232#2409C2212yes—
233#2409C2212yes—
234#2409C2212yes—
235#2382C2212yescomplemented
236#2382C2212yescomplemented
237#2371C2212yescomplemented
238#2371C2212yescomplemented
239#2345C2212yes—
240#2345C2212yes—
241#2345C2212yes—
242#2345C2212yes—
243#2336C2214yescomplemented
244#2336C2214yescomplemented
245#2322C2212yes—
246#2322C2212yes—
247#2322C2212yes—
248#2322C2212yes—
249#2321C2212yes—
250#2321C2212yes—
251#2321C2212yes—
252#2321C2212yes—
253#2313C2212yes—
254#2313C2212yes—
255C4×#123C2212yes—
256C4×#123C2212yes—
257C4×#120C2212yes—
258C4×#120C2212yes—
259#2283C2211yescharacteristic
260#2283C2211yescharacteristic
261C23×Q8C2312yes—
262C23×Q8C2312yes—
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265#564—28no—
266#563—28no—
267#563—28no—
268#562—28no—
269#554—216no—
270#554—216no—
271#553—216no—
272#553—216no—
273#552—216no—
274#552—216no—
275#544—232no—
276#544—232no—
277#544—216no—
278#544—216no—
279#544—216no—
280#544—216no—
281#541—216no—
282#541—216no—
283#539—216no—
284#539—216no—
285#539—216no—
286#539—216no—
287C2×C4⋊Q8—216no—
288C2×C4⋊Q8—28no—
289C2×C4⋊Q8—28no—
290C2×C4⋊Q8C2312yes—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2314yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2314yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2314yes—
300C2×C4⋊Q8C2314yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2314yes—
305#529—28no—
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#125—216no—
318C2×#125—28no—
319C2×#125D4116yescomplemented
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2312yes—
339C2×#125C2312yes—
340C2×#125C2312yes—
341C2×#125C2311yescharacteristic
342C2×#125C2311yescharacteristic
343C2×#125C2311yescharacteristic
344C2×#125C2311yescharacteristic
345C2×#124C2311yescharacteristic
346C2×#124C2311yescharacteristic
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×C22⋊Q8—216no—
362C2×C22⋊Q8—216no—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×#117—28no—
416C2×#117—28no—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4—28no—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2314yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2312yes—
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452C22×C42C2311yescharacteristic
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2312yes—
460#400C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2312yes—
471#399C2312yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2312yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2312yes—
528#395C2312yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
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#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#384C2314yes—
702#384C2314yes—
703#383C2312yes—
704#383C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#379C2312yes—
728#379C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747#376C2312yes—
748#376C2312yes—
749C25C2411yescharacteristic
750C22×Q8—28no—
751C22×Q8—28no—
752C22×Q8—84no—
753C22×Q8—84no—
754C22×Q8C2412yes—
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2411yescharacteristic
758C22×Q8C2414yes—
759C22×Q8C2414yes—
760C22×Q8C2414yes—
761C22×Q8C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C23×C4—24no—
771C23×C4—24no—
772C23×C4—24no—
773C23×C4—28no—
774C23×C4—84no—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C4⋊Q8—216no—
796C4⋊Q8—216no—
797C4⋊Q8—216no—
798C4⋊Q8—216no—
799C4⋊Q8—28no—
800C4⋊Q8—216no—
801C4⋊Q8—28no—
802C4⋊Q8—28no—
803C4⋊Q8—28no—
804C4⋊Q8—28no—
805C4⋊Q8—28no—
806C4⋊Q8—28no—
807C4⋊Q8—28no—
808C4⋊Q8—84no—
809C4⋊Q8—84no—
810#126—28no—
811#126—28no—
812#126—28no—
813#126—28no—
814#126—28no—
815#126—28no—
816#126—28no—
817#126—28no—
818#126—28no—
819#126—28no—
820#125—216no—
821#125—216no—
822#125—216no—
823#125—216no—
824#125—28no—
825#125—216no—
826#125—28no—
827#125—28no—
828#125—28no—
829#125—28no—
830#125—28no—
831#125—28no—
832#125—28no—
833#125—28no—
834#125—28no—
835#125—28no—
836#125—28no—
837#125—24no—
838#125—24no—
839#125C2×D4116yes—
840#125C2×D4116yes—
841#125C2×D418yes—
842#125C2×D418yes—
843#125C2×D418yes—
844#125C2×D418yes—
845#124—24no—
846#124—24no—
847#124—84no—
848#124—84no—
849#123—28no—
850#123—28no—
851#123—28no—
852#123—28no—
853#123—28no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—28no—
858#123—28no—
859#123—28no—
860#123—28no—
861C22⋊Q8—24no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—216no—
866C22⋊Q8—216no—
867C22⋊Q8—216no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—84no—
884C22⋊Q8—84no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888#121—24no—
889#121—24no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—84no—
895#120—28no—
896#120—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—84no—
912C4×D4—84no—
913#117—28no—
914#117—216no—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—28no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—216no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4C2×D418yes—
939C2×C4⋊C4C2×D418yes—
940C2×C4⋊C4C2×D4116yes—
941C2×C4⋊C4C2×D4116yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C22⋊C4—24no—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
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×C42—28no—
1072C2×C42—24no—
1073C2×C42C2×D418yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24—22no—
1141C24—22no—
1142C24—42no—
1143C24—42no—
1144C242−1+414yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2511yescharacteristic
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—28no—
1154C2×Q8—28no—
1155C2×Q8—28no—
1156C2×Q8—28no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—816no—
1170C2×Q8—816no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C22×C4—232no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—816no—
1233C22×C4C22×D414yes—
1234C22×C4C22×D418yes—
1235C22×C4C22×D414yes—
1236C22×C4C22×D414yes—
1237C22×C4C22×D418yes—
1238C22×C42−1+414yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4C22×D414yes—
1329C4⋊C4C22×D418yes—
1330C4⋊C4C22×D414yes—
1331C4⋊C4C22×D418yes—
1332C4⋊C4C22×D418yes—
1333C4⋊C4C22×D414yes—
1334C4⋊C4C22×D418yes—
1335C4⋊C4C22×D414yes—
1336C4⋊C4C22×D418yes—
1337C4⋊C4C22×D418yes—
1338C4⋊C4C22×D418yes—
1339C4⋊C4C22×D418yes—
1340C4⋊C4C22×D418yes—
1341C4⋊C4C22×D418yes—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C42—28no—
1391C42—28no—
1392C42—24no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42C22×D414yes—
1407C42C22×D414yes—
1408C42C22×D414yes—
1409C42C22×D414yes—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—24no—
1416C23—28no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—24no—
1425C23—24no—
1426C23—24no—
1427C23—48no—
1428C23—44no—
1429C23—44no—
1430C23—48no—
1431C23C23×D412yes—
1432C23C2×2−1+414yes—
1433C23C2×2−1+412yes—
1434C23C2×2−1+412yes—
1435C23C2611yescharacteristic
1436Q8—84no—
1437Q8—82no—
1438Q8—84no—
1439Q8—82no—
1440Q8—88no—
1441Q8—88no—
1442Q8—88no—
1443Q8—88no—
1444D4—48no—
1445D4—48no—
1446D4—84no—
1447D4—82no—
1448D4—84no—
1449D4—82no—
1450D4—88no—
1451D4—88no—
1452C2×C4—216no—
1453C2×C4—216no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—28no—
1469C2×C4—28no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—48no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—44no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—84no—
1520C2×C4—88no—
1521C2×C4—88no—
1522C2×C4C23×D414yes—
1523C2×C4C23×D414yes—
1524C2×C4C23×D412yes—
1525C2×C4C23×D412yes—
1526C2×C4C23×D412yes—
1527C2×C4C23×D412yes—
1528C2×C4C23×D414yes—
1529C2×C4C23×D414yes—
1530C2×C4C23×D412yes—
1531C2×C4C23×D412yes—
1532C2×C4C2×2−1+414yes—
1533C22—22no—
1534C22—22no—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—28no—
1539C22—416no—
1540C22—42no—
1541C22—42no—
1542C22—44no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—44no—
1551C22—44no—
1552C22—44no—
1553C22#348614yes—
1554C22C24×D411yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22H(7,𝔽2)12yes—
1558C222−1+612yes—
1559C4—22no—
1560C4—22no—
1561C4—24no—
1562C4—24no—
1563C4—24no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—24no—
1569C4—22no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—44no—
1582C4—44no—
1583C4—44no—
1584C2—24no—
1585C2—44no—
1586C2—82no—
1587C2—82no—
1588C2C2×#348611yescharacteristic
1589C2#6285211yescharacteristic
1590C2#6285911yescharacteristic
1591C2#6286512yes—
1592C2#6287712yes—
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×#3553C2semidirect
2. C22×#544C2semidirect
3. #51751C2semidirect
4. #51750C2semidirect
5. #51544C2semidirect
6. #51543C2semidirect
7. #51533C2semidirect
8. #51532C2semidirect
9. #47769C2semidirect
10. #47720C2semidirect
11. #47717C2semidirect
12. #47692C2semidirect
13. #39722C2semidirect
14. #39720C2semidirect
15. #39717C2semidirect
16. #39716C2semidirect
17. #39594C2semidirect
18. #39592C2semidirect
19. #39589C2semidirect
20. #39588C2semidirect
21. #37617C2semidirect
22. #37615C2semidirect
23. #37233C2semidirect
24. #37120C2semidirect
25. #35118C2semidirect
26. #35118C2semidirect
27. #35094C2semidirect
28. #34989C2semidirect
29. #34372C2semidirect
31. C2×#564C22semidirect
32. C2×#563C22semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
39. C2×#552C22semidirect
40. C2×#552C22semidirect
48. C2×#541C22semidirect
49. C2×#541C22semidirect
52. C2×#539C22semidirect
53. C2×#539C22semidirect
75. #2821C22semidirect
76. #2821C22semidirect
77. #2726C22semidirect
78. #2725C22semidirect
81. #2721C22semidirect
82. #2721C22semidirect
85. #2720C22semidirect
86. #2719C22semidirect
87. #2719C22semidirect
88. #2719C22semidirect
89. #2716C22semidirect
90. #2716C22semidirect
91. #2716C22semidirect
92. #2716C22semidirect
93. #2713C22semidirect
94. #2713C22semidirect
95. #2713C22semidirect
96. #2713C22semidirect
97. #2713C22semidirect
98. #2711C22semidirect
99. #2707C22semidirect
101. #2704C22semidirect
105. #2694C22semidirect
106. #2694C22semidirect
111. #2690C22semidirect
112. #2690C22semidirect
116. #2677C22semidirect
117. #2677C22semidirect
118. #2677C22semidirect
119. #2677C22semidirect
121. #2674C22semidirect
122. #2674C22semidirect
123. #2674C22semidirect
124. #2674C22semidirect
125. #2660C22semidirect
126. #2658C22semidirect
127. #2642C22semidirect
128. #2640C22semidirect
129. #2628C22semidirect
140. #2621C22semidirect
167. #2568C22semidirect
169. #2558C22semidirect
171. #2556C22semidirect
172. #2551C22semidirect
173. #2550C22semidirect
174. #2547C22semidirect
175. #2546C22semidirect
177. #2542C22semidirect
179. #2519C22semidirect
180. #2506C22semidirect
186. #2492C22semidirect
187. #2491C22semidirect
202. #2475C22semidirect
205. #2473C22semidirect
210. #2462C22semidirect
212. #2460C22semidirect
214. #2452C22semidirect
215. #2451C22semidirect
221. #2440C22semidirect
222. #2439C22semidirect
235. #2382C22semidirect
236. #2382C22semidirect
237. #2371C22semidirect
238. #2371C22semidirect
243. #2336C22semidirect
244. #2336C22semidirect
319. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35532
C22×#5442
#517512
#517502
#515442
#515432
#515332
#515322
#477692
#477202
#477172
#476922
#397222
#397202
#397172
#397162
#395942
#395922
#395892
#395882
#376172
#376152
#372332
#371202
#351182
#350942
#349892
#343722