Finite Group Databasebeta

← #7647020

Subgroups — #7647020

Order 512.

6573 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42888C211yesmaximal, characteristic, complemented
5#42887C211yesmaximal, characteristic, complemented
6#42884C211yesmaximal, characteristic, complemented
7#42815C211yesmaximal, characteristic, complemented
8#42812C211yesmaximal, characteristic, complemented
9#42811C211yesmaximal, characteristic, complemented
10#42808C211yesmaximal, characteristic, complemented
11#42175C212yesmaximal, complemented
12#42174C212yesmaximal, complemented
13#42171C212yesmaximal, complemented
14#42170C212yesmaximal, complemented
15#39615C212yesmaximal, complemented
16#39487C212yesmaximal, complemented
17#39166C212yesmaximal, complemented
18#38950C212yesmaximal, complemented
19#38087C214yesmaximal, complemented
20#37867C214yesmaximal, complemented
21#37608C212yesmaximal, complemented
22#37557C212yesmaximal, complemented
23#37259C214yesmaximal, complemented
24#37188C214yesmaximal, complemented
25#35665C212yesmaximal, complemented
26#35664C212yesmaximal, complemented
27#35334C212yesmaximal, complemented
28#35326C211yesmaximal, characteristic, complemented
29#35244C212yesmaximal, complemented
30#35234C211yesmaximal, characteristic, complemented
31#35205C212yesmaximal, complemented
32#35144C212yesmaximal, complemented
33#34947C211yesmaximal, characteristic, complemented
34#34876C211yesmaximal, characteristic, complemented
35C2×#2320C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3482—216no—
38C2×#557C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2212yes—
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2212yes—
46C2×#552C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2214yes—
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2211yescharacteristic
58C2×#547C2212yes—
59C2×#541C2214yes—
60C2×#541C2212yes—
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#533C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2212yes—
71C2×#519C2212yes—
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2212yes—
78#2854C2214yes—
79#2852C2214yes—
80#2852C2214yes—
81#2851C2214yes—
82#2851C2214yes—
83#2850C2212yes—
84#2822C2212yes—
85#2821C2212yes—
86#2821C2212yes—
87#2821C2212yes—
88#2821C2212yes—
89#2820C2212yes—
90#2820C2212yes—
91#2819C2212yes—
92#2734C2214yes—
93#2732C2214yes—
94#2731C2214yes—
95#2730C2214yes—
96#2729C2214yes—
97#2729C2214yes—
98#2729C2214yes—
99#2728C2214yes—
100#2727C2214yes—
101#2726C2214yes—
102#2725C2214yes—
103#2725C2214yes—
104#2723C2214yes—
105#2723C2214yes—
106#2721C2214yes—
107#2721C2214yes—
108#2720C2214yes—
109#2720C2214yes—
110#2719C2214yes—
111#2719C2214yes—
112#2716C2214yes—
113#2714C2214yes—
114#2713C2214yes—
115#2711C2214yes—
116#2707C2214yes—
117#2705C2214yes—
118#2704C2214yes—
119#2702C2214yes—
120#2696C2214yes—
121#2694C2214yes—
122#2692C2214yes—
123#2690C2214yes—
124#2664C2212yes—
125#2662C2212yes—
126#2660C2211yescharacteristic
127#2659C2214yes—
128#2658C2211yescharacteristic
129#2642C2211yescharacteristic
130#2640C2211yescharacteristic
131#2639C2214yes—
132#2637C2212yes—
133#2637C2212yes—
134#2637C2214yes—
135#2636C2212yes—
136#2636C2212yes—
137#2636C2214yes—
138#2634C2212yes—
139#2634C2212yes—
140#2634C2214yes—
141#2634C2212yes—
142#2633C2212yes—
143#2633C2214yes—
144#2632C2212yes—
145#2632C2212yes—
146#2632C2212yes—
147#2631C2212yes—
148#2628C2212yes—
149#2628C2212yes—
150#2628C2212yes—
151#2628C2212yes—
152#2618C2214yes—
153#2618C2214yes—
154#2611C2211yescharacteristic
155#2611C2211yescharacteristic
156#2611C2214yes—
157#2610C2211yescharacteristic
158#2610C2211yescharacteristic
159#2609C2214yes—
160#2609C2214yes—
161#2604C2212yes—
162#2604C2212yes—
163#2604C2212yes—
164#2603C2212yes—
165#2601C2214yes—
166#2599C2214yes—
167#2599C2214yes—
168#2599C2212yes—
169#2599C2212yes—
170#2599C2214yes—
171#2598C2212yes—
172#2598C2212yes—
173#2598C2214yes—
174#2592C2211yescharacteristic
175#2584C2211yescharacteristic
176#2581C2212yes—
177#2581C2214yes—
178#2581C2212yes—
179#2580C2212yes—
180#2580C2214yes—
181#2580C2212yes—
182#2568C2211yescharacteristic
183#2567C2211yescharacteristic
184#2566C2212yes—
185#2565C2212yes—
186#2564C2211yescharacteristic
187#2564C2212yes—
188#2564C2212yes—
189#2564C2214yes—
190#2564C2212yes—
191#2564C2214yes—
192#2564C2211yescharacteristic
193#2564C2212yes—
194#2564C2212yes—
195#2564C2214yes—
196#2563C2211yescharacteristic
197#2562C2211yescharacteristic
198#2543C2211yescharacteristic
199#2543C2211yescharacteristic
200#2543C2212yes—
201#2543C2214yes—
202#2542C2211yescharacteristic
203#2540C2211yescharacteristic
204#2498C2214yes—
205#2498C2212yes—
206#2498C2214yes—
207#2498C2214yes—
208#2498C2214yes—
209#2481C2214yes—
210#2479C2214yes—
211#2479C2214yes—
212#2477C2214yes—
213#2475C2214yes—
214#2475C2214yes—
215#2473C2214yes—
216#2471C2214yes—
217#2469C2214yes—
218#2469C2214yes—
219#2467C2214yes—
220#2465C2214yes—
221#2462C2214yes—
222#2462C2214yes—
223#2460C2214yes—
224#2458C2214yes—
225#2454C2212yes—
226#2453C2212yes—
227#2453C2212yes—
228#2451C2212yes—
229#2448C2212yes—
230#2446C2212yes—
231#2446C2212yes—
232#2446C2212yes—
233#2442C2212yes—
234#2441C2212yes—
235#2441C2212yes—
236#2439C2212yes—
237#2436C2212yes—
238#2434C2212yes—
239#2434C2212yes—
240#2432C2212yes—
241#2430C2214yes—
242#2430C2212yes—
243#2429C2212yes—
244#2429C2212yes—
245#2427C2212yes—
246#2426C2212yes—
247#2423C2212yes—
248#2423C2212yes—
249#2421C2212yes—
250#2421C2212yes—
251#2417C2212yes—
252#2417C2212yes—
253#2417C2212yes—
254#2417C2212yes—
255#2416C2212yes—
256#2415C2212yes—
257#2415C2212yes—
258#2414C2212yes—
259#2409C2212yes—
260#2409C2212yes—
261#2409C2212yes—
262#2407C2212yes—
263#2399C2211yescharacteristic
264#2398C2211yescharacteristic
265#2398C2211yescharacteristic
266#2397C2211yescharacteristic
267#2396C2212yes—
268#2396C2212yes—
269#2327C2212yes—
270#2326C2212yes—
271#2325C2214yes—
272#2325C2214yes—
273#2324C2212yes—
274#2323C2212yes—
275#2320C2211yescharacteristic
276#2320C2211yescharacteristic
277#2320C2211yescharacteristic
278#2320C2211yescharacteristic
279#2320C2214yes—
280#2320C2212yes—
281#2320C2212yes—
282#2320C2212yes—
283#2320C2212yes—
284#2316C2214yes—
285#2311C2214yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2297C2212yes—
291C2×#391C2212yes—
292C2×#389C2212yes—
293#2290C2212yes—
294#2290C2212yes—
295C2×#387C2214yes—
296#2285C2212yes—
297C2×#383C2212yes—
298C2×#382C2212yes—
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×#376C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×Q8C2311yescharacteristic
307#557—28no—
308#557—28no—
309#557—28no—
310#557—216no—
311#556—28no—
312#556—216no—
313#556—28no—
314#556—216no—
315#552—28no—
316#552—216no—
317#552—28no—
318#552—216no—
319#552—216no—
320#552—232no—
321D4×Q8—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#547—28no—
327#547—216no—
328#541—216no—
329#541—232no—
330#533—28no—
331#533—216no—
332#533—216no—
333#533—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345#529—28no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529—28no—
350#529—216no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#125C2314yes—
376C2×#125C2314yes—
377C2×#125C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424#519—216no—
425C4×#41—28no—
426C4×#41—216no—
427C4×#41—28no—
428C2×C4×Q8—28no—
429C2×C4×Q8D4116yescomplemented
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×#117C2314yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C42C2312yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2312yes—
505C22×C42C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508#400C2312yes—
509#400C2311yescharacteristic
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2314yes—
514#400C2312yes—
515#400C2311yescharacteristic
516#400C2314yes—
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#399C2312yes—
526#399C2312yes—
527#399C2314yes—
528#399C2311yescharacteristic
529#399C2312yes—
530#399C2312yes—
531#399C2311yescharacteristic
532#399C2312yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2312yes—
539#399C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2311yescharacteristic
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2311yescharacteristic
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2311yescharacteristic
568#397C2314yes—
569#397C2312yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#395C2312yes—
584#395C2312yes—
585#395C2314yes—
586#395C2311yescharacteristic
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2311yescharacteristic
591#395C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2312yes—
597#395C2314yes—
598#395C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2311yescharacteristic
603#394C2314yes—
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#393C2312yes—
613#393C2312yes—
614#393C2312yes—
615#393C2314yes—
616#393C2311yescharacteristic
617#393C2312yes—
618#393C2312yes—
619#393C2311yescharacteristic
620#393C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#392C2311yescharacteristic
627#392C2312yes—
628#392C2314yes—
629#392C2311yescharacteristic
630#392C2314yes—
631#392C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2314yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2314yes—
643#391C2314yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2314yes—
651#390C2314yes—
652#390C2312yes—
653#390C2314yes—
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2312yes—
675#389C2314yes—
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2312yes—
768#386C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2312yes—
789#385C2312yes—
790#384C2312yes—
791#384C2312yes—
792#384C2312yes—
793#383C2312yes—
794#383C2312yes—
795#383C2314yes—
796#383C2314yes—
797#383C2312yes—
798#383C2312yes—
799#382C2312yes—
800#382C2312yes—
801#382C2312yes—
802#382C2312yes—
803#382C2314yes—
804#382C2314yes—
805#382C2312yes—
806#382C2312yes—
807#382C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#380C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838#376C2312yes—
839#376C2312yes—
840#376C2311yescharacteristic
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2311yescharacteristic
844C2×#95C2311yescharacteristic
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—42no—
857C2×#41—44no—
858C2×#41—44no—
859C22×Q8—24no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2×D418yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×Q8C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C4⋊Q8—24no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—216no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—44no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#125—24no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—28no—
937#125—216no—
938#125—216no—
939#125—216no—
940#125—28no—
941#125—216no—
942#125—24no—
943#125—28no—
944#125—24no—
945#125—28no—
946#125—216no—
947#125—28no—
948#124—24no—
949#124—28no—
950#124—24no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—44no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—216no—
960#123—28no—
961#123—28no—
962#123—28no—
963C22⋊Q8—24no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985#121—28no—
986#121—24no—
987#121—24no—
988#121—28no—
989#121—24no—
990#121—28no—
991#121—44no—
992#121—48no—
993#121—44no—
994C4×Q8—24no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—216no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—216no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8C2×D418yes—
1015C4×Q8C2×D418yes—
1016C4×Q8C2×D4116yes—
1017C4×Q8C2×D418yes—
1018C4×Q8C2×D418yes—
1019C4×Q8C2×D4116yes—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—216no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—44no—
1040C4×D4—44no—
1041#117—28no—
1042#117—24no—
1043#117—216no—
1044#117—28no—
1045#117—24no—
1046#117—28no—
1047#117—28no—
1048#117—216no—
1049#117—28no—
1050#117—24no—
1051#117—28no—
1052#117—24no—
1053#117—28no—
1054#117—216no—
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—44no—
1061C2×C4⋊C4—48no—
1062C2×C4⋊C4C2×D418yes—
1063C2×C4⋊C4C2×D4116yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C42—24no—
1194C2×C42—28no—
1195C2×C42—24no—
1196C2×C42—28no—
1197C2×C42—44no—
1198C2×C42—44no—
1199C2×C42C2×D418yes—
1200C2×C42C2×D4116yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2412yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291C24C2512yes—
1292C24C2511yescharacteristic
1293C24C2512yes—
1294C24C2511yescharacteristic
1295C24C2511yescharacteristic
1296#41—416no—
1297#41—432no—
1298#41—416no—
1299C2×Q8—24no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—28no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—41no—
1321C2×Q8—42no—
1322C2×Q8—416no—
1323C2×Q8—432no—
1324C2×Q8—416no—
1325C2×Q8C22×D414yes—
1326C2×Q8C22×D414yes—
1327C2×Q8C22×D418yes—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—42no—
1349C2×D4—41no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D42−1+414yes—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4C22×D414yes—
1410C22×C4C22×D418yes—
1411C22×C4C22×D414yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D418yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2512yes—
1419C22×C4C2514yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4C22×D414yes—
1513C4⋊C4C22×D418yes—
1514C4⋊C4C22×D414yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D418yes—
1518C4⋊C4C22×D418yes—
1519C22⋊C4—22no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—22no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C42—22no—
1574C42—22no—
1575C42—24no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—22no—
1582C42—24no—
1583C42—22no—
1584C42—28no—
1585C42—28no—
1586C42—28no—
1587C42—28no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—44no—
1592C42—42no—
1593C42—42no—
1594C42—42no—
1595C42—42no—
1596C42C22×D414yes—
1597C42C22×D418yes—
1598C42C22×D418yes—
1599C42C22×D414yes—
1600C42C22×D418yes—
1601C42C22×D414yes—
1602C42C22×D414yes—
1603C42C22×D418yes—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23C23×D412yes—
1628C23C2×2−1+412yes—
1629C23C2×2−1+412yes—
1630C23#58512yes—
1631C23C2611yescharacteristic
1632Q8—28no—
1633Q8—28no—
1634Q8—48no—
1635Q8—44no—
1636Q8—48no—
1637Q8—44no—
1638Q8—48no—
1639Q8—48no—
1640Q8—416no—
1641Q8—44no—
1642Q8—48no—
1643D4—28no—
1644D4—44no—
1645D4—48no—
1646D4—44no—
1647D4—48no—
1648D4—48no—
1649D4—44no—
1650D4—48no—
1651D4—44no—
1652D4—84no—
1653D4—84no—
1654D4—164no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—28no—
1671C2×C4—216no—
1672C2×C4—28no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—416no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D414yes—
1747C2×C4C23×D414yes—
1748C2×C4C23×D412yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C2×2−1+412yes—
1753C2×C4#58514yes—
1754C22—22no—
1755C22—22no—
1756C22—24no—
1757C22—24no—
1758C22—22no—
1759C22—24no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—41no—
1764C22—42no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22#348914yes—
1781C22C24×D411yescharacteristic
1782C22C22×2−1+411yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22C2×#58512yes—
1785C222−1+612yes—
1786C4—22no—
1787C4—24no—
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—24no—
1795C4—24no—
1796C4—42no—
1797C4—41no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—44no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4#344914yes—
1816C2—24no—
1817C2—42no—
1818C2—81no—
1819C2—82no—
1820C2—82no—
1821C2C2×#344911yescharacteristic
1822C2C2×#348911yescharacteristic
1823C2#6284811yescharacteristic
1824C2#6294012yes—
1825C2#6295012yes—
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×#3523C2semidirect
2. C2×#3482C2semidirect
3. #42891C2semidirect
4. #42888C2semidirect
5. #42887C2semidirect
6. #42884C2semidirect
7. #42815C2semidirect
8. #42812C2semidirect
9. #42811C2semidirect
10. #42808C2semidirect
11. #42175C2semidirect
12. #42174C2semidirect
13. #42171C2semidirect
14. #42170C2semidirect
15. #39615C2semidirect
16. #39487C2semidirect
17. #39166C2semidirect
18. #38950C2semidirect
19. #38087C2semidirect
20. #37867C2semidirect
21. #37608C2semidirect
22. #37557C2semidirect
23. #37259C2semidirect
24. #37188C2semidirect
25. #35665C2semidirect
26. #35664C2semidirect
27. #35334C2semidirect
28. #35326C2semidirect
29. #35244C2semidirect
30. #35234C2semidirect
31. #35205C2semidirect
32. #35144C2semidirect
33. #34947C2semidirect
34. #34876C2semidirect
35. C2×#2320C2semidirect
429. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34822
#428912
#428882
#428872
#428842
#428152
#428122
#428112
#428082
#421752
#421742
#421712
#421702
#396152
#394872
#391662
#389502
#380872
#378672
#376082
#375572
#372592
#371882
#356652
#356642
#353342
#353262
#352442
#352342
#352052
#351442
#349472
#348762
C2×#23202