Finite Group Databasebeta

← #7681051

Subgroups — #7681051

Order 512.

6942 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3503C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#59086C212yesmaximal, complemented
4#59082C212yesmaximal, complemented
5#59081C212yesmaximal, complemented
6#59077C214yesmaximal, complemented
7#59075C214yesmaximal, complemented
8#59042C212yesmaximal, complemented
9#45343C212yesmaximal, complemented
10#45195C212yesmaximal, complemented
11#44896C212yesmaximal, complemented
12#44883C212yesmaximal, complemented
13#43028C214yesmaximal, complemented
14#43007C214yesmaximal, complemented
15#39427C212yesmaximal, complemented
16#39425C212yesmaximal, complemented
17#37758C212yesmaximal, complemented
18#37757C212yesmaximal, complemented
19#37709C212yesmaximal, complemented
20#37704C212yesmaximal, complemented
21#36142C212yesmaximal, complemented
22#36129C212yesmaximal, complemented
23#35628C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35592C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic
27#35312C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#34745C211yesmaximal, characteristic, complemented
31C2×#2451C211yesmaximal, characteristic, complemented
32#34272C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34266C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36#3503—216no—
37C2×Q82C2212yes—
38C2×#557C2212yes—
39C2×#554C2214yes—
40C2×#554C2212yes—
41C2×D4×Q8C2212yes—
42C2×D4×Q8C2214yes—
43#3461—216no—
44C2×#544C2212yes—
45C2×#544C2212yes—
46C2×#544C2211yescharacteristic
47C2×#544C2211yescharacteristic
48C2×#542C2212yes—
49C2×#542C2212yes—
50C2×#541C2212yes—
51C2×#541C2212yes—
52C2×#539C2214yes—
53C2×#537C2211yescharacteristic
54C2×#537C2211yescharacteristic
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#533C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#532C2211yescharacteristic
63C22×C4⋊Q8C2211yescharacteristic
64C22×C4⋊Q8C2212yes—
65C2×#529C2212yes—
66C2×#529C2214yes—
67C2×#529C2212yes—
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74#2862C2212yes—
75#2861C2212yes—
76#2857C2212yes—
77#2857C2212yes—
78#2851C2212yes—
79#2850C2212yes—
80#2731C2214yes—
81#2730C2214yes—
82#2729C2214yes—
83#2729C2214yes—
84#2729C2214yes—
85#2728C2214yes—
86#2725C2214yes—
87#2723C2214yes—
88#2723C2214yes—
89#2719C2214yes—
90#2719C2214yes—
91#2716C2214yes—
92#2716C2214yes—
93#2707C2214yes—
94#2702C2214yes—
95#2702C2214yes—
96#2702C2214yes—
97#2690C2214yes—
98#2690C2214yes—
99#2690C2214yes—
100#2690C2214yes—
101#2681C2214yes—
102#2674C2214yes—
103#2674C2214yes—
104#2642C2212yes—
105#2640C2212yes—
106#2629C2212yes—
107#2628C2212yes—
108#2621C2212yes—
109#2620C2212yes—
110#2592C2212yes—
111#2592C2212yes—
112#2591C2214yes—
113#2568C2212yes—
114#2568C2212yes—
115#2560C2214yes—
116#2560C2214yes—
117#2550C2214yes—
118#2550C2214yes—
119#2547C2212yes—
120#2546C2212yes—
121#2545C2214yes—
122#2545C2212yes—
123#2544C2212yes—
124#2543C2214yes—
125#2536C2214yes—
126#2519C2214yes—
127#2519C2214yes—
128#2492C2212yes—
129#2492C2212yes—
130#2492C2212yes—
131#2492C2212yes—
132#2492C2212yes—
133#2492C2212yes—
134#2492C2212yes—
135#2492C2212yes—
136#2491C2212yes—
137#2491C2212yes—
138#2491C2212yes—
139#2491C2212yes—
140#2489C2212yes—
141#2489C2212yes—
142#2489C2214yes—
143#2489C2212yes—
144#2489C2212yes—
145#2488C2214yes—
146#2488C2214yes—
147#2488C2214yes—
148#2488C2214yes—
149#2481C2214yes—
150#2477C2214yes—
151#2477C2214yes—
152#2477C2214yes—
153#2475C2214yes—
154#2469C2214yes—
155#2469C2214yes—
156#2469C2214yes—
157#2463C2214yes—
158#2461C2214yes—
159#2461C2214yes—
160#2460C2214yes—
161#2458C2214yes—
162#2454C2211yescharacteristic
163#2454C2211yescharacteristic
164#2454C2212yes—
165#2453C2211yescharacteristic
166#2453C2214yes—
167#2453C2214yes—
168#2453C2212yes—
169#2453C2211yescharacteristic
170#2452C2211yescharacteristic
171#2452C2211yescharacteristic
172#2452C2212yes—
173#2451C2212yes—
174#2451C2212yes—
175#2451C2211yescharacteristic
176#2451C2212yes—
177#2451C2212yes—
178#2451C2211yescharacteristic
179#2451C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2451C2212yes—
184#2450C2212yes—
185#2450C2212yes—
186#2450C2214yes—
187#2449C2214yes—
188#2449C2212yes—
189#2449C2212yes—
190#2446C2214yes—
191#2446C2214yes—
192#2443C2214yes—
193#2442C2214yes—
194#2439C2214yes—
195#2439C2214yes—
196#2436C2214yes—
197#2436C2214yes—
198#2429C2214yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2427C2214yes—
205#2427C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2425C2214yes—
209#2425C2214yes—
210#2425C2214yes—
211#2425C2214yes—
212#2421C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2416C2214yes—
217#2416C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2414C2212yes—
222#2409C2214yes—
223#2409C2214yes—
224#2396C2212yes—
225#2396C2212yes—
226C2×#398C2212yes—
227C2×#395C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2212yes—
231#2368C2214yes—
232#2367C2214yes—
233#2367C2212yes—
234#2367C2211yescharacteristic
235#2367C2211yescharacteristic
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2367C2212yes—
239#2366C2211yescharacteristic
240#2366C2211yescharacteristic
241#2365C2211yescharacteristic
242#2365C2212yes—
243#2365C2211yescharacteristic
244#2365C2212yes—
245#2365C2212yes—
246#2364C2212yes—
247#2364C2212yes—
248#2364C2214yes—
249#2363C2212yes—
250#2362C2212yes—
251#2362C2212yes—
252#2362C2212yes—
253#2362C2214yes—
254#2361C2212yes—
255#2361C2214yes—
256#2361C2212yes—
257#2361C2212yes—
258#2360C2212yes—
259#2360C2214yes—
260#2360C2212yes—
261#2360C2212yes—
262#2352C2214yes—
263Q8×C22⋊C4C2214yes—
264#2331C2212yes—
265#2330C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2317C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#125C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#123C2214yes—
280C4×#121C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2212yes—
290#2293C2212yes—
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293#2290C2212yes—
294#2290C2212yes—
295C2×#387C2212yes—
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2314yes—
306C23×Q8C2312yes—
307Q82—216no—
308#557—216no—
309#554—216no—
310#554—232no—
311D4×Q8—216no—
312D4×Q8—232no—
313#544—216no—
314#544—216no—
315#544—28no—
316#544D4116yescomplemented
317#542—216no—
318#542—216no—
319#541—216no—
320#541—216no—
321#539—232no—
322#537—28no—
323#537—28no—
324#536—28no—
325#536—28no—
326#536—28no—
327#533—216no—
328#533—216no—
329#533—216no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8—216no—
333C2×C4⋊Q8—28no—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×#127C2311yescharacteristic
353#529—216no—
354#529—216no—
355#529—232no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418#520—28no—
419#520—28no—
420C4×#41—28no—
421C4×#41—28no—
422C4×#41—28no—
423C2×C4×Q8—28no—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2314yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2314yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C42C2312yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2312yes—
507#400C2312yes—
508#399C2314yes—
509#399C2312yes—
510#399C2312yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2312yes—
540#396C2312yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2312yes—
553#395C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2312yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#392C2314yes—
575#391C2314yes—
576#391C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2311yescharacteristic
591#391C2314yes—
592#391C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#384C2312yes—
766#382C2312yes—
767#382C2314yes—
768#382C2314yes—
769#382C2314yes—
770#382C2314yes—
771#381C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838#376C2312yes—
839C2×#95C2311yescharacteristic
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C43C2312yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41#4118yes—
857C22×Q8—216no—
858C22×Q8—24no—
859C22×Q8—28no—
860C22×Q8—24no—
861C22×Q8—24no—
862C22×Q8—44no—
863C22×Q8—48no—
864C22×Q8—82no—
865C22×Q8—84no—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2414yes—
875C22×Q8C2414yes—
876C22×Q8C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C4⋊Q8—216no—
910C4⋊Q8—216no—
911C4⋊Q8—24no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—216no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—216no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8C2×D4116yes—
926C4⋊Q8C2×D4116yes—
927#127—24no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—24no—
936#125—24no—
937#125—216no—
938#125—28no—
939#125—216no—
940#125—28no—
941#125C2×D4116yes—
942#125C2×D4116yes—
943#124—216no—
944#124—24no—
945#124—24no—
946#124—28no—
947#124—28no—
948#124—28no—
949#124—48no—
950#124—84no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—216no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—44no—
979C22⋊Q8—84no—
980C22⋊Q8C2×D4132yes—
981#121—28no—
982#121—28no—
983#121—28no—
984#121—216no—
985#121—216no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—84no—
990C4×Q8—216no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—216no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8—84no—
1008C4×D4—216no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—44no—
1029C4×D4—84no—
1030#117—24no—
1031#117—24no—
1032#117—24no—
1033#117—28no—
1034#117—28no—
1035#117—216no—
1036#117—216no—
1037#117—28no—
1038#117—28no—
1039#117—28no—
1040#117C2×D418yes—
1041#117C2×D418yes—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—24no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—24no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—216no—
1049C2×C4⋊C4—24no—
1050C2×C4⋊C4—42no—
1051C2×C4⋊C4—82no—
1052C2×C4⋊C4—82no—
1053C2×C4⋊C4C2×D418yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C42—24no—
1176C2×C42—28no—
1177C2×C42—24no—
1178C2×C42—24no—
1179C2×C42—28no—
1180C2×C42—28no—
1181C2×C42—28no—
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2414yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2414yes—
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2414yes—
1226#95C2411yescharacteristic
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24C2512yes—
1282C24C2512yes—
1283C24C2512yes—
1284C24C2511yescharacteristic
1285#41—232no—
1286#41—416no—
1287#41—416no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—28no—
1295C2×Q8—24no—
1296C2×Q8—28no—
1297C2×Q8—28no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—28no—
1310C2×Q8—44no—
1311C2×Q8—44no—
1312C2×Q8—42no—
1313C2×Q8—44no—
1314C2×Q8—42no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—416no—
1320C2×Q8—816no—
1321C2×Q8—832no—
1322C2×Q8C22×D4116yes—
1323C2×Q8C2×#4114yes—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—28no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—28no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4C2×#4118yes—
1353C2×D4C2×#4114yes—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—28no—
1388C22×C4—28no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—41no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—42no—
1415C22×C4C22×D418yes—
1416C22×C4C22×D414yes—
1417C22×C4C2×#4118yes—
1418C22×C4C2×#4114yes—
1419C22×C42−1+414yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2514yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4C22×D414yes—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C22×D4116yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D4116yes—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D4116yes—
1522C4⋊C42−1+414yes—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4C22×D418yes—
1571C22⋊C4C22×D418yes—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—28no—
1576C42—24no—
1577C42—24no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—24no—
1582C42—24no—
1583C42—22no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—28no—
1588C42—28no—
1589C42—28no—
1590C42—24no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—24no—
1597C42—24no—
1598C42—44no—
1599C42—42no—
1600C42—42no—
1601C42—44no—
1602C42—42no—
1603C42—44no—
1604C42—44no—
1605C42C22×D418yes—
1606C42C22×D418yes—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23C23×D412yes—
1632C23C22×#4114yes—
1633C23C22×#4112yes—
1634C23C2×2−1+412yes—
1635C23C2611yescharacteristic
1636Q8—28no—
1637Q8—416no—
1638Q8—48no—
1639Q8—416no—
1640Q8—48no—
1641Q8—48no—
1642Q8—48no—
1643Q8—44no—
1644Q8—44no—
1645Q8—88no—
1646Q8—88no—
1647D4—216no—
1648D4—28no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—44no—
1653D4—44no—
1654D4—88no—
1655D4—88no—
1656D4—84no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—216no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—48no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—82no—
1752C2×C4—82no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4#548116yes—
1756C2×C4C23×D414yes—
1757C2×C4C23×D418yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D414yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D412yes—
1762C2×C4C23×D412yes—
1763C2×C4C22×#4114yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C2×2−1+412yes—
1767C2×C4C2×2−1+412yes—
1768C2×C4C2×2−1+412yes—
1769C2×C4C2×2−1+412yes—
1770C2×C4C2×2−1+412yes—
1771C2×C4#58512yes—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—24no—
1779C22—24no—
1780C22—24no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22C2×#54814yes—
1800C22C24×D411yescharacteristic
1801C22C23×#4111yescharacteristic
1802C22C22×2−1+411yescharacteristic
1803C22C22×2−1+411yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22H(7,𝔽2)11yescharacteristic
1806C222−1+611yescharacteristic
1807C4—22no—
1808C4—28no—
1809C4—24no—
1810C4—24no—
1811C4—22no—
1812C4—22no—
1813C4—24no—
1814C4—24no—
1815C4—22no—
1816C4—24no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—44no—
1821C4—42no—
1822C4—41no—
1823C4—41no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—41no—
1829C4—44no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4C2×#54814yes—
1837C4C2×#54814yes—
1838C2—24no—
1839C2—44no—
1840C2—82no—
1841C2—82no—
1842C2C22×#54811yescharacteristic
1843C2#6280511yescharacteristic
1844C2#6285711yescharacteristic
1845C2#6294311yescharacteristic
1846C2#6295611yescharacteristic
1847C2#6298711yescharacteristic
1848C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
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×#3503C2semidirect
2. C2×#3461C2semidirect
3. #59086C2semidirect
4. #59082C2semidirect
5. #59081C2semidirect
6. #59077C2semidirect
7. #59075C2semidirect
8. #59042C2semidirect
9. #45343C2semidirect
10. #45195C2semidirect
11. #44896C2semidirect
12. #44883C2semidirect
13. #43028C2semidirect
14. #43007C2semidirect
15. #39427C2semidirect
16. #39425C2semidirect
17. #37758C2semidirect
18. #37757C2semidirect
19. #37709C2semidirect
20. #37704C2semidirect
21. #36142C2semidirect
22. #36129C2semidirect
23. #35628C2semidirect
24. #35621C2semidirect
25. #35592C2semidirect
27. #35312C2semidirect
28. #35308C2semidirect
29. #35257C2semidirect
30. #34745C2semidirect
31. C2×#2451C2semidirect
32. #34272C2semidirect
33. #34267C2semidirect
34. #34266C2semidirect
35. #34141C2semidirect
316. #544D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35032
C2×#34612
#590862
#590822
#590812
#590772
#590752
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