Finite Group Databasebeta

← #7650723

Subgroups — #7650723

Order 512.

6522 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic
2C2×#3504C211yesmaximal, characteristic, complemented
3#42964C212yesmaximal, complemented
4#42914C212yesmaximal, complemented
5#42879C212yesmaximal, complemented
6#42801C212yesmaximal, complemented
7#42651C212yesmaximal, complemented
8#42644C212yesmaximal, complemented
9#42439C212yesmaximal, complemented
10#42437C212yesmaximal, complemented
11#41408C214yesmaximal, complemented
12#41406C214yesmaximal, complemented
13#39890C212yesmaximal, complemented
14#39880C212yesmaximal, complemented
15#39866C212yesmaximal, complemented
16#39859C212yesmaximal, complemented
17#39139C212yesmaximal, complemented
18#39134C212yesmaximal, complemented
19#38921C212yesmaximal, complemented
20#38919C212yesmaximal, complemented
21#38421C214yesmaximal, complemented
22#37862C214yesmaximal, complemented
23#35649C211yesmaximal, characteristic, complemented
24#35640C211yesmaximal, characteristic, complemented
25#35532C211yesmaximal, characteristic, complemented
26#35530C211yesmaximal, characteristic, complemented
27#35519C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35158C211yesmaximal, characteristic, complemented
32C2×#2552C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic, complemented
34#34744C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36#3512—216no—
37#3504—216no—
38C2×#557C2212yes—
39C2×#557C2212yes—
40C2×#554C2212yes—
41C2×#554C2214yes—
42C2×#554C2214yes—
43C2×#554C2212yes—
44C2×#553C2214yes—
45C2×#553C2212yes—
46C2×#553C2214yes—
47C2×#553C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#544C2211yescharacteristic
51C2×#544C2212yes—
52C2×#544C2212yes—
53C2×#544C2211yescharacteristic
54C2×#541C2212yes—
55C2×#540C2212yes—
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#533C2211yescharacteristic
59C2×#533C2212yes—
60C2×#532C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2212yes—
63C22×#125C2212yes—
64C22×#125C2211yescharacteristic
65C22×#125C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71#2857C2212yes—
72#2855C2212yes—
73#2854C2212yes—
74#2851C2212yes—
75#2850C2214yes—
76#2822C2214yes—
77#2821C2214yes—
78#2816C2214yes—
79#2814C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2721C2214yes—
84#2721C2214yes—
85#2721C2214yes—
86#2719C2214yes—
87#2719C2214yes—
88#2719C2214yes—
89#2716C2214yes—
90#2716C2214yes—
91#2713C2214yes—
92#2698C2214yes—
93#2698C2214yes—
94#2698C2214yes—
95#2694C2214yes—
96#2694C2214yes—
97#2694C2214yes—
98#2689C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2680C2214yes—
105#2680C2214yes—
106#2680C2214yes—
107#2680C2214yes—
108#2680C2214yes—
109#2680C2214yes—
110#2674C2214yes—
111#2672C2214yes—
112#2664C2214yes—
113#2663C2214yes—
114#2660C2214yes—
115#2639C2214yes—
116#2638C2214yes—
117#2637C2214yes—
118#2634C2214yes—
119#2633C2214yes—
120#2629C2212yes—
121#2628C2212yes—
122#2625C2214yes—
123#2625C2212yes—
124#2624C2212yes—
125#2623C2214yes—
126#2621C2214yes—
127#2620C2214yes—
128#2618C2214yes—
129#2611C2214yes—
130#2604C2214yes—
131#2599C2214yes—
132#2591C2214yes—
133#2583C2214yes—
134#2582C2212yes—
135#2581C2212yes—
136#2580C2212yes—
137#2567C2212yes—
138#2566C2212yes—
139#2565C2212yes—
140#2565C2214yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2212yes—
144#2552C2212yes—
145#2552C2212yes—
146#2552C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2212yes—
150#2552C2212yes—
151#2552C2212yes—
152#2552C2212yes—
153#2550C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2542C2212yes—
158#2542C2214yes—
159#2538C2212yes—
160#2536C2214yes—
161#2504C2214yes—
162#2502C2212yes—
163#2502C2214yes—
164#2501C2214yes—
165#2501C2212yes—
166#2500C2212yes—
167#2499C2214yes—
168#2499C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2491C2212yes—
172#2491C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2486C2214yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2484C2214yes—
191#2454C2211yescharacteristic
192#2454C2211yescharacteristic
193#2454C2212yes—
194#2453C2211yescharacteristic
195#2453C2212yes—
196#2453C2211yescharacteristic
197#2452C2211yescharacteristic
198#2452C2212yes—
199#2452C2211yescharacteristic
200#2451C2211yescharacteristic
201#2451C2211yescharacteristic
202#2451C2212yes—
203#2450C2214yes—
204#2450C2214yes—
205#2450C2212yes—
206#2450C2212yes—
207#2449C2212yes—
208#2449C2214yes—
209#2449C2212yes—
210#2449C2214yes—
211#2449C2214yes—
212#2449C2214yes—
213#2448C2211yescharacteristic
214#2448C2212yes—
215#2448C2211yescharacteristic
216#2447C2211yescharacteristic
217#2447C2212yes—
218#2447C2211yescharacteristic
219#2446C2211yescharacteristic
220#2446C2212yes—
221#2446C2211yescharacteristic
222#2445C2211yescharacteristic
223#2445C2212yes—
224#2445C2211yescharacteristic
225#2444C2214yes—
226#2444C2214yes—
227#2444C2212yes—
228#2444C2212yes—
229#2443C2212yes—
230#2443C2214yes—
231#2443C2214yes—
232#2443C2212yes—
233#2443C2214yes—
234#2443C2214yes—
235#2442C2212yes—
236#2441C2212yes—
237#2441C2212yes—
238#2441C2212yes—
239#2440C2212yes—
240#2440C2212yes—
241#2440C2212yes—
242#2439C2212yes—
243#2423C2212yes—
244#2423C2212yes—
245#2423C2212yes—
246#2422C2212yes—
247#2422C2212yes—
248#2422C2212yes—
249#2421C2212yes—
250#2420C2212yes—
251#2415C2214yes—
252#2413C2214yes—
253#2396C2212yes—
254#2396C2212yes—
255#2395C2212yes—
256#2395C2212yes—
257C2×#398C2212yes—
258C2×#398C2212yes—
259#2357C2212yes—
260#2356C2212yes—
261#2355C2212yes—
262#2354C2212yes—
263#2347C2212yes—
264#2346C2212yes—
265#2345C2212yes—
266#2344C2212yes—
267#2326C2214yes—
268#2323C2214yes—
269#2322C2214yes—
270#2318C2214yes—
271#2317C2214yes—
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292C2×#389C2212yes—
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295#2290C2214yes—
296C2×#384C2211yescharacteristic
297C2×#384C2212yes—
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304#557—216no—
305#557—216no—
306#554—216no—
307#554—216no—
308#554—232no—
309#554—232no—
310#553—232no—
311#553—232no—
312#553—216no—
313#553—216no—
314#552—216no—
315#552—216no—
316#544—28no—
317#544—216no—
318#544—28no—
319#544—216no—
320#541—216no—
321#540—216no—
322#537—28no—
323#537—28no—
324#533—28no—
325#533—216no—
326#532—28no—
327C2×C4⋊Q8C2314yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2314yes—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×#127C2311yescharacteristic
337#529—216no—
338#529—216no—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#125—28no—
344C2×#125—216no—
345C2×#125—28no—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2314yes—
349C2×#125C2311yescharacteristic
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409#520—28no—
410#520—28no—
411#520D4116yes—
412C4×#41—28no—
413C4×#41—28no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2314yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2314yes—
448C2×#117C2314yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2314yes—
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2314yes—
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C42C2312yes—
476C22×C42C2312yes—
477C22×C42C2311yescharacteristic
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480C22×C42C2312yes—
481#400C2312yes—
482#400C2314yes—
483#400C2312yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2312yes—
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2312yes—
499#399C2312yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#399C2314yes—
504#399C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2312yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2312yes—
549#397C2314yes—
550#397C2312yes—
551#397C2314yes—
552#397C2312yes—
553#397C2312yes—
554#397C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2314yes—
559#396C2314yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2312yes—
564#396C2312yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2312yes—
572#395C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2314yes—
587#393C2312yes—
588#393C2314yes—
589#393C2312yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2314yes—
603#391C2311yescharacteristic
604#391C2314yes—
605#391C2311yescharacteristic
606#391C2314yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2314yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2314yes—
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2311yescharacteristic
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#384C2312yes—
764#384C2314yes—
765#384C2312yes—
766#384C2312yes—
767#384C2314yes—
768#384C2312yes—
769#384C2314yes—
770#384C2312yes—
771#384C2314yes—
772#384C2314yes—
773#384C2314yes—
774#384C2312yes—
775#384C2312yes—
776#383C2314yes—
777#382C2312yes—
778#382C2314yes—
779#382C2314yes—
780#382C2312yes—
781#382C2314yes—
782#382C2312yes—
783#382C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2314yes—
787#381C2312yes—
788#381C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839#376C2314yes—
840C2×#95C2312yes—
841C2×#95C2311yescharacteristic
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41C2×D418yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2414yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2411yescharacteristic
892C4⋊Q8—24no—
893C4⋊Q8—24no—
894C4⋊Q8—28no—
895C4⋊Q8—24no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901#127—24no—
902#126—216no—
903#126—216no—
904#126—216no—
905#126—216no—
906#125—24no—
907#125—28no—
908#125—28no—
909#125—28no—
910#125—28no—
911#125—28no—
912#125—28no—
913#125—28no—
914#125—28no—
915#125—28no—
916#125—28no—
917#125—216no—
918#125—216no—
919#125—24no—
920#125—216no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—216no—
926#124—24no—
927#124—24no—
928#124—48no—
929#123—216no—
930#123—216no—
931#123—216no—
932#123—216no—
933#123—44no—
934#123—44no—
935#123—48no—
936#123—84no—
937#123—84no—
938#123—84no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—216no—
942C22⋊Q8—216no—
943C22⋊Q8—216no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—216no—
949C22⋊Q8—216no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—48no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—84no—
957C22⋊Q8—84no—
958C22⋊Q8—84no—
959#121—28no—
960#121—28no—
961#121—28no—
962#121—216no—
963#121—216no—
964#121—28no—
965#121—216no—
966#121—28no—
967#121—28no—
968#121—216no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—28no—
972C4×Q8—24no—
973C4×Q8—24no—
974C4×Q8—28no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—216no—
978C4×Q8—216no—
979C4×Q8C2×D4116yes—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—216no—
985C4×D4—28no—
986C4×D4—216no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—216no—
994C4×D4—28no—
995C4×D4—216no—
996C4×D4C2×D4116yes—
997C4×D4C2×D4132yes—
998#117—28no—
999#117—24no—
1000#117—28no—
1001#117—24no—
1002#117—216no—
1003#117—24no—
1004#117—24no—
1005#117—28no—
1006#117—28no—
1007#117—216no—
1008#117—48no—
1009#117C2×D418yes—
1010#117C2×D4116yes—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—28no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—28no—
1015C2×C4⋊C4—28no—
1016C2×C4⋊C4—28no—
1017C2×C4⋊C4—28no—
1018C2×C4⋊C4—216no—
1019C2×C4⋊C4—216no—
1020C2×C4⋊C4—24no—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4—42no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4—82no—
1026C2×C4⋊C4—82no—
1027C2×C4⋊C4—82no—
1028C2×C4⋊C4C2×D418yes—
1029C2×C4⋊C4C2×D4116yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C42—24no—
1164C2×C42—28no—
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42—28no—
1168C2×C42—44no—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2414yes—
1200#95C2414yes—
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24C2512yes—
1262C24C2512yes—
1263C24C2512yes—
1264C24C2511yescharacteristic
1265#41—232no—
1266#41—416no—
1267#41—416no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—28no—
1272C2×Q8—24no—
1273C2×Q8—28no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—42no—
1281C2×Q8—42no—
1282C2×Q8—44no—
1283C2×Q8—42no—
1284C2×Q8—44no—
1285C2×Q8—44no—
1286C2×Q8—44no—
1287C2×Q8—42no—
1288C2×Q8C22×D414yes—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—28no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4C22×D418yes—
1318C2×D4C22×D414yes—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4C22×D418yes—
1377C22×C4C22×D418yes—
1378C22×C4C22×D4116yes—
1379C22×C4C22×D414yes—
1380C22×C42−1+414yes—
1381C22×C42−1+414yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—41no—
1465C4⋊C4—41no—
1466C4⋊C4—41no—
1467C4⋊C4—44no—
1468C4⋊C4—41no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4C22×D414yes—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D418yes—
1494C4⋊C4C22×D418yes—
1495C4⋊C4C22×D4116yes—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4C22×D418yes—
1545C22⋊C4C22×D4116yes—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—22no—
1551C42—24no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—22no—
1559C42—28no—
1560C42—28no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—24no—
1567C42—24no—
1568C42—28no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42C22×D418yes—
1573C42C22×D4116yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23C23×D414yes—
1599C23C23×D412yes—
1600C23C2×2−1+412yes—
1601C23C2×2−1+412yes—
1602C23C2611yescharacteristic
1603Q8—28no—
1604Q8—44no—
1605Q8—44no—
1606Q8—84no—
1607Q8—88no—
1608Q8—84no—
1609Q8—88no—
1610D4—216no—
1611D4—28no—
1612D4—48no—
1613D4—48no—
1614D4—44no—
1615D4—44no—
1616D4—88no—
1617D4—84no—
1618D4—88no—
1619D4—84no—
1620C2×C4—28no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—216no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—416no—
1704C2×C4—48no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—88no—
1712C2×C4—82no—
1713C2×C4—82no—
1714C2×C4—84no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4#536116yes—
1722C2×C4C23×D414yes—
1723C2×C4C23×D414yes—
1724C2×C4C23×D414yes—
1725C2×C4C23×D418yes—
1726C2×C4C23×D412yes—
1727C2×C4C23×D412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4C2×2−1+412yes—
1731C2×C4C2×2−1+412yes—
1732C2×C4#58512yes—
1733C2×C4#58512yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—24no—
1741C22—24no—
1742C22—24no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22C2×#53614yes—
1762C22C24×D411yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C22×2−1+411yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22H(7,𝔽2)11yescharacteristic
1768C222−1+611yescharacteristic
1769C4—24no—
1770C4—28no—
1771C4—24no—
1772C4—22no—
1773C4—22no—
1774C4—24no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4—42no—
1785C4—44no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—41no—
1793C4—42no—
1794C4—44no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4C2×#53614yes—
1799C4C2×#53614yes—
1800C2—24no—
1801C2—44no—
1802C2—82no—
1803C2—82no—
1804C2C22×#53611yescharacteristic
1805C2#6282511yescharacteristic
1806C2#6287711yescharacteristic
1807C2#6292611yescharacteristic
1808C2#6295611yescharacteristic
1809C2#6298811yescharacteristic
1810C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3512C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3504C2semidirect
3. #42964C2semidirect
4. #42914C2semidirect
5. #42879C2semidirect
6. #42801C2semidirect
7. #42651C2semidirect
8. #42644C2semidirect
9. #42439C2semidirect
10. #42437C2semidirect
11. #41408C2semidirect
12. #41406C2semidirect
13. #39890C2semidirect
14. #39880C2semidirect
15. #39866C2semidirect
16. #39859C2semidirect
17. #39139C2semidirect
18. #39134C2semidirect
19. #38921C2semidirect
20. #38919C2semidirect
21. #38421C2semidirect
22. #37862C2semidirect
23. #35649C2semidirect
24. #35640C2semidirect
25. #35532C2semidirect
26. #35530C2semidirect
27. #35519C2semidirect
28. #35517C2semidirect
29. #35257C2semidirect
30. #35255C2semidirect
31. #35158C2semidirect
32. C2×#2552C2semidirect
33. #34745C2semidirect
34. #34744C2semidirect
35. #34252C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#35042
#429642
#429142
#428792
#428012
#426512
#426442
#424392
#424372
#414082
#414062
#398902
#398802
#398662
#398592
#391392
#391342
#389212
#389192
#384212
#378622
#356492
#356402
#355322
#355302
#355192
#355172
#352572
#352552
#351582
C2×#25522
#347452
#347442
#342522