Finite Group Databasebeta

← #7650147

Subgroups — #7650147

Order 512.

6970 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic
2C2×#3503C211yesmaximal, characteristic, complemented
3#42968C212yesmaximal, complemented
4#42918C212yesmaximal, complemented
5#42804C212yesmaximal, complemented
6#42789C212yesmaximal, complemented
7#42442C212yesmaximal, complemented
8#42436C212yesmaximal, complemented
9#42427C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#40591C214yesmaximal, complemented
12#40589C214yesmaximal, complemented
13#39891C212yesmaximal, complemented
14#39877C212yesmaximal, complemented
15#39867C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39597C212yesmaximal, complemented
18#39592C212yesmaximal, complemented
19#39343C212yesmaximal, complemented
20#39337C212yesmaximal, complemented
21#38421C214yesmaximal, complemented
22#37675C214yesmaximal, complemented
23#35592C211yesmaximal, characteristic, complemented
24#35576C211yesmaximal, 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×#2551C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic, complemented
34#34744C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3503—216no—
38C2×Q82C2212yes—
39C2×#557C2212yes—
40C2×#556C2212yes—
41C2×#555C2212yes—
42C2×#554C2214yes—
43C2×#554C2212yes—
44C2×#554C2212yes—
45C2×#553C2214yes—
46C2×D4×Q8C2214yes—
47C2×D4×Q8C2212yes—
48C2×#548C2214yes—
49C2×#547C2212yes—
50C2×#544C2211yescharacteristic
51C2×#544C2212yes—
52C2×#544C2212yes—
53C2×#544C2211yescharacteristic
54C2×#542C2212yes—
55C2×#542C2212yes—
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#536C2214yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C22×C4⋊Q8C2211yescharacteristic
65C22×C4⋊Q8C2212yes—
66C22×C4⋊Q8C2211yescharacteristic
67C22×C4⋊Q8C2212yes—
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73#2857C2212yes—
74#2855C2212yes—
75#2854C2212yes—
76#2851C2212yes—
77#2850C2214yes—
78#2821C2214yes—
79#2820C2214yes—
80#2817C2214yes—
81#2814C2214yes—
82#2719C2214yes—
83#2713C2214yes—
84#2713C2214yes—
85#2713C2214yes—
86#2700C2214yes—
87#2700C2214yes—
88#2698C2214yes—
89#2694C2214yes—
90#2690C2214yes—
91#2690C2214yes—
92#2689C2214yes—
93#2689C2214yes—
94#2689C2214yes—
95#2681C2214yes—
96#2677C2214yes—
97#2677C2214yes—
98#2677C2214yes—
99#2677C2214yes—
100#2677C2214yes—
101#2677C2214yes—
102#2674C2214yes—
103#2674C2214yes—
104#2674C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2672C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2664C2214yes—
115#2663C2214yes—
116#2658C2214yes—
117#2639C2214yes—
118#2638C2214yes—
119#2637C2214yes—
120#2634C2214yes—
121#2632C2214yes—
122#2629C2212yes—
123#2628C2212yes—
124#2628C2214yes—
125#2627C2214yes—
126#2625C2212yes—
127#2624C2212yes—
128#2621C2214yes—
129#2616C2214yes—
130#2614C2214yes—
131#2611C2214yes—
132#2604C2214yes—
133#2599C2214yes—
134#2591C2214yes—
135#2583C2214yes—
136#2582C2212yes—
137#2581C2214yes—
138#2581C2212yes—
139#2580C2212yes—
140#2567C2212yes—
141#2566C2212yes—
142#2565C2212yes—
143#2551C2212yes—
144#2551C2212yes—
145#2551C2212yes—
146#2551C2212yes—
147#2551C2212yes—
148#2551C2212yes—
149#2551C2212yes—
150#2551C2212yes—
151#2551C2212yes—
152#2551C2212yes—
153#2551C2212yes—
154#2551C2212yes—
155#2550C2212yes—
156#2550C2212yes—
157#2550C2212yes—
158#2550C2212yes—
159#2546C2214yes—
160#2545C2214yes—
161#2542C2212yes—
162#2538C2212yes—
163#2502C2212yes—
164#2501C2212yes—
165#2500C2212yes—
166#2499C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2212yes—
173#2491C2212yes—
174#2491C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2491C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2489C2212yes—
182#2489C2212yes—
183#2487C2212yes—
184#2486C2212yes—
185#2485C2212yes—
186#2485C2212yes—
187#2454C2211yescharacteristic
188#2454C2211yescharacteristic
189#2454C2212yes—
190#2453C2211yescharacteristic
191#2453C2212yes—
192#2453C2211yescharacteristic
193#2452C2211yescharacteristic
194#2452C2212yes—
195#2452C2211yescharacteristic
196#2451C2211yescharacteristic
197#2451C2212yes—
198#2451C2211yescharacteristic
199#2450C2214yes—
200#2450C2214yes—
201#2450C2212yes—
202#2450C2212yes—
203#2449C2212yes—
204#2449C2214yes—
205#2449C2212yes—
206#2449C2214yes—
207#2449C2214yes—
208#2449C2214yes—
209#2448C2211yescharacteristic
210#2448C2212yes—
211#2448C2211yescharacteristic
212#2447C2211yescharacteristic
213#2447C2211yescharacteristic
214#2447C2212yes—
215#2446C2211yescharacteristic
216#2446C2212yes—
217#2446C2211yescharacteristic
218#2445C2211yescharacteristic
219#2445C2212yes—
220#2445C2211yescharacteristic
221#2444C2214yes—
222#2444C2214yes—
223#2444C2212yes—
224#2444C2212yes—
225#2443C2212yes—
226#2443C2214yes—
227#2443C2212yes—
228#2443C2214yes—
229#2443C2214yes—
230#2443C2214yes—
231#2442C2212yes—
232#2441C2212yes—
233#2441C2212yes—
234#2441C2212yes—
235#2440C2212yes—
236#2440C2212yes—
237#2440C2212yes—
238#2439C2212yes—
239#2436C2214yes—
240#2434C2214yes—
241#2434C2214yes—
242#2432C2214yes—
243#2423C2212yes—
244#2423C2212yes—
245#2423C2212yes—
246#2422C2212yes—
247#2422C2212yes—
248#2422C2212yes—
249#2421C2212yes—
250#2420C2212yes—
251#2415C2214yes—
252#2413C2214yes—
253#2409C2214yes—
254#2406C2214yes—
255#2396C2212yes—
256#2396C2212yes—
257#2395C2212yes—
258#2395C2212yes—
259C2×#395C2212yes—
260C2×#395C2212yes—
261#2357C2212yes—
262#2356C2212yes—
263#2355C2212yes—
264#2354C2212yes—
265#2347C2212yes—
266#2346C2212yes—
267#2345C2212yes—
268#2344C2212yes—
269#2327C2214yes—
270#2323C2214yes—
271#2322C2214yes—
272#2318C2214yes—
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#123C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292#2296C2211yescharacteristic
293C2×#389C2212yes—
294C2×#389C2211yescharacteristic
295C2×#389C2211yescharacteristic
296#2290C2214yes—
297C2×#384C2211yescharacteristic
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×Q8C2314yes—
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308Q82—216no—
309#557—216no—
310#556—216no—
311#555—216no—
312#554—216no—
313#554—232no—
314#554—216no—
315#553—232no—
316D4×Q8—216no—
317D4×Q8—232no—
318#548—232no—
319#547—216no—
320#544—28no—
321#544—216no—
322#544—28no—
323#544—216no—
324#542—216no—
325#542—216no—
326#537—28no—
327#537—28no—
328#536—416no—
329#533—216no—
330#533—28no—
331#533—216no—
332#532—28no—
333#532—216no—
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8—216no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8—48no—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2311yescharacteristic
356C2×C4⋊Q8C2311yescharacteristic
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2314yes—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2314yes—
361C2×C4⋊Q8C2314yes—
362C2×C4⋊Q8C2314yes—
363C2×#127C2311yescharacteristic
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423#520—28no—
424#520—28no—
425#520D4116yes—
426C4×#41—28no—
427C4×#41—28no—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2314yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2314yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C42C2312yes—
486C22×C42C2312yes—
487C22×C42C2311yescharacteristic
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490C22×C42C2312yes—
491#400C2312yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2312yes—
502#400C2312yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2312yes—
525#398C2314yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2314yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2314yes—
539#397C2312yes—
540#397C2314yes—
541#397C2314yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2314yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2312yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2312yes—
589#394C2314yes—
590#394C2312yes—
591#394C2312yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2312yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2312yes—
602#393C2314yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2314yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2314yes—
615#391C2314yes—
616#391C2314yes—
617#391C2311yescharacteristic
618#391C2314yes—
619#391C2311yescharacteristic
620#391C2311yescharacteristic
621#391C2314yes—
622#391C2314yes—
623#391C2311yescharacteristic
624#391C2312yes—
625#391C2311yescharacteristic
626#391C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2314yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2314yes—
669#389C2314yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2311yescharacteristic
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#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#384C2312yes—
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2312yes—
779#384C2312yes—
780#383C2314yes—
781#382C2314yes—
782#382C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2314yes—
786#381C2314yes—
787#381C2314yes—
788#381C2312yes—
789#381C2314yes—
790#381C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2314yes—
805#380C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841#376C2314yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C2×#95C2311yescharacteristic
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—216no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—48no—
857C2×#41—84no—
858C2×#41C2×D418yes—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—216no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—48no—
865C22×Q8—82no—
866C22×Q8—82no—
867C22×Q8—84no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×Q8C2414yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2414yes—
876C22×Q8C2414yes—
877C22×Q8C2414yes—
878C22×Q8C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2411yescharacteristic
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—216no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—216no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—216no—
927C4⋊Q8—216no—
928C4⋊Q8—28no—
929C4⋊Q8—216no—
930C4⋊Q8—48no—
931C4⋊Q8—48no—
932C4⋊Q8—48no—
933C4⋊Q8—48no—
934C4⋊Q8—84no—
935#127—24no—
936#126—216no—
937#126—216no—
938#125—24no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—216no—
943#125—28no—
944#125—216no—
945#125—28no—
946#125—216no—
947#124—24no—
948#124—24no—
949#124—216no—
950#124—216no—
951#124—216no—
952#124—48no—
953#124—48no—
954#124—84no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—28no—
959#123—48no—
960#123—48no—
961#123—48no—
962#123—84no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—84no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—216no—
990#121—28no—
991#121—216no—
992#121—28no—
993#121—28no—
994#121—216no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—216no—
1002C4×Q8—28no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8C2×D4116yes—
1007C4×D4—28no—
1008C4×D4—24no—
1009C4×D4—28no—
1010C4×D4—24no—
1011C4×D4—216no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—28no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—216no—
1021C4×D4—28no—
1022C4×D4C2×D4116yes—
1023C4×D4C2×D4132yes—
1024#117—28no—
1025#117—24no—
1026#117—28no—
1027#117—24no—
1028#117—24no—
1029#117—24no—
1030#117—28no—
1031#117—28no—
1032#117—216no—
1033#117—48no—
1034#117C2×D418yes—
1035#117C2×D4116yes—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—28no—
1038C2×C4⋊C4—24no—
1039C2×C4⋊C4—28no—
1040C2×C4⋊C4—28no—
1041C2×C4⋊C4—216no—
1042C2×C4⋊C4—24no—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—24no—
1045C2×C4⋊C4—24no—
1046C2×C4⋊C4—44no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—82no—
1050C2×C4⋊C4C2×D418yes—
1051C2×C4⋊C4C2×D4116yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C42—24no—
1182C2×C42—28no—
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—28no—
1186C2×C42—44no—
1187C2×C42C2414yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2414yes—
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2414yes—
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2414yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279C24C2512yes—
1280C24C2512yes—
1281C24C2512yes—
1282C24C2511yescharacteristic
1283#41—232no—
1284#41—416no—
1285#41—416no—
1286#41—832no—
1287C2×Q8—24no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—28no—
1291C2×Q8—24no—
1292C2×Q8—28no—
1293C2×Q8—28no—
1294C2×Q8—28no—
1295C2×Q8—28no—
1296C2×Q8—28no—
1297C2×Q8—24no—
1298C2×Q8—28no—
1299C2×Q8—28no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—44no—
1308C2×Q8—42no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—44no—
1312C2×Q8—44no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—816no—
1320C2×Q8—816no—
1321C2×Q8—832no—
1322C2×Q8C22×D414yes—
1323C2×D4—24no—
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—28no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4C22×D418yes—
1352C2×D4C22×D414yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—41no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4C22×D418yes—
1411C22×C4C22×D418yes—
1412C22×C4C22×D4116yes—
1413C22×C4C22×D414yes—
1414C22×C42−1+414yes—
1415C22×C42−1+414yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2514yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D418yes—
1522C4⋊C4C22×D4116yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4H(5,𝔽2)14yes—
1525C4⋊C42−1+414yes—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
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—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4C22×D418yes—
1575C22⋊C4C22×D4116yes—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—24no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—22no—
1587C42—24no—
1588C42—22no—
1589C42—28no—
1590C42—28no—
1591C42—24no—
1592C42—28no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—24no—
1598C42—24no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42C22×D418yes—
1603C42C22×D4116yes—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
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—
1628C23C23×D414yes—
1629C23C23×D412yes—
1630C23C2×2−1+412yes—
1631C23C2×2−1+412yes—
1632C23C2611yescharacteristic
1633Q8—28no—
1634Q8—48no—
1635Q8—48no—
1636Q8—416no—
1637Q8—416no—
1638Q8—44no—
1639Q8—44no—
1640Q8—88no—
1641Q8—88no—
1642Q8—88no—
1643Q8—88no—
1644D4—216no—
1645D4—28no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—44no—
1651D4—44no—
1652D4—88no—
1653D4—88no—
1654C2×C4—28no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—216no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—48no—
1734C2×C4—416no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—88no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—88no—
1751C2×C4#536116yescomplemented
1752C2×C4C23×D414yes—
1753C2×C4C23×D414yes—
1754C2×C4C23×D414yes—
1755C2×C4C23×D418yes—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4C2×2−1+412yes—
1763C2×C4C2×2−1+412yes—
1764C2×C4C2×2−1+412yes—
1765C2×C4C2×2−1+412yes—
1766C2×C4C2×2−1+412yes—
1767C2×C4C2×2−1+412yes—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
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—
1795C22C2×#53614yes—
1796C22C24×D411yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×2−1+411yescharacteristic
1799C22C22×2−1+411yescharacteristic
1800C22C22×2−1+411yescharacteristic
1801C22H(7,𝔽2)11yescharacteristic
1802C222−1+611yescharacteristic
1803C4—24no—
1804C4—22no—
1805C4—22no—
1806C4—28no—
1807C4—22no—
1808C4—22no—
1809C4—24no—
1810C4—22no—
1811C4—22no—
1812C4—24no—
1813C4—41no—
1814C4—42no—
1815C4—41no—
1816C4—44no—
1817C4—42no—
1818C4—44no—
1819C4—41no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—44no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4C2×#53614yes—
1833C4C2×#53614yes—
1834C2—24no—
1835C2—44no—
1836C2—82no—
1837C2—82no—
1838C2C22×#53611yescharacteristic
1839C2#6283311yescharacteristic
1840C2#6287711yescharacteristic
1841C2#6291311yescharacteristic
1842C2#6294311yescharacteristic
1843C2D4×H(5,𝔽2)11yescharacteristic
1844C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3511C2
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×#3503C2semidirect
3. #42968C2semidirect
4. #42918C2semidirect
5. #42804C2semidirect
6. #42789C2semidirect
7. #42442C2semidirect
8. #42436C2semidirect
9. #42427C2semidirect
10. #42423C2semidirect
11. #40591C2semidirect
12. #40589C2semidirect
13. #39891C2semidirect
14. #39877C2semidirect
15. #39867C2semidirect
16. #39855C2semidirect
17. #39597C2semidirect
18. #39592C2semidirect
19. #39343C2semidirect
20. #39337C2semidirect
21. #38421C2semidirect
22. #37675C2semidirect
23. #35592C2semidirect
24. #35576C2semidirect
25. #35532C2semidirect
26. #35530C2semidirect
27. #35519C2semidirect
28. #35517C2semidirect
29. #35257C2semidirect
30. #35255C2semidirect
31. #35158C2semidirect
32. C2×#2551C2semidirect
33. #34745C2semidirect
34. #34744C2semidirect
35. #34252C2semidirect
1751. C2×C4#536semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35032
#429682
#429182
#428042
#427892
#424422
#424362
#424272
#424232
#405912
#405892
#398912
#398772
#398672
#398552
#395972
#395922
#393432
#393372
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