Finite Group Databasebeta

← #7678521

Subgroups — #7678521

Order 512.

7155 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59658C212yesmaximal, complemented
5#59657C212yesmaximal, complemented
6#59458C212yesmaximal, complemented
7#59151C211yesmaximal, characteristic, complemented
8#59136C211yesmaximal, characteristic, complemented
9#59084C211yesmaximal, characteristic, complemented
10#59080C211yesmaximal, characteristic, complemented
11#59078C211yesmaximal, characteristic, complemented
12#59067C211yesmaximal, characteristic, complemented
13#59057C211yesmaximal, characteristic, complemented
14#59036C211yesmaximal, characteristic, complemented
15#45289C212yesmaximal, complemented
16#45245C212yesmaximal, complemented
17#44989C212yesmaximal, complemented
18#44915C212yesmaximal, complemented
19#43119C214yesmaximal, complemented
20#43116C214yesmaximal, complemented
21#39891C212yesmaximal, complemented
22#39866C212yesmaximal, complemented
23#39854C214yesmaximal, complemented
24#38375C214yesmaximal, complemented
25#36442C212yesmaximal, complemented
26#36231C212yesmaximal, complemented
27#35573C212yesmaximal, complemented
28#35526C212yesmaximal, complemented
29#35249C211yesmaximal, characteristic, complemented
30#35243C212yesmaximal, complemented
31#34977C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic, complemented
33#34294C212yesmaximal, complemented
34#34231C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3511—216no—
37Q8×#41—216no—
38C2×Q82C2211yescharacteristic
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#555C2212yes—
43C2×#554C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2212yes—
46C2×#554C2214yes—
47C2×#554C2212yes—
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#548C2212yes—
55C2×#547C2212yes—
56C2×#542C2212yes—
57C2×#542C2212yes—
58C2×#537C2212yes—
59C2×#536C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2214yes—
62C2×#533C2212yes—
63C2×#533C2212yes—
64C2×#533C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C22×C4⋊Q8C2211yescharacteristic
69C2×#520C2212yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74C22×C4×Q8C2212yes—
75#2854C2212yes—
76#2854C2212yes—
77#2852C2214yes—
78#2850C2214yes—
79#2734C2214yes—
80#2731C2214yes—
81#2730C2214yes—
82#2729C2214yes—
83#2723C2214yes—
84#2720C2214yes—
85#2720C2214yes—
86#2716C2214yes—
87#2711C2214yes—
88#2711C2214yes—
89#2700C2214yes—
90#2692C2214yes—
91#2692C2214yes—
92#2692C2214yes—
93#2687C2214yes—
94#2681C2214yes—
95#2681C2214yes—
96#2680C2214yes—
97#2677C2214yes—
98#2676C2214yes—
99#2676C2214yes—
100#2674C2214yes—
101#2672C2214yes—
102#2672C2214yes—
103#2637C2214yes—
104#2632C2214yes—
105#2632C2214yes—
106#2610C2214yes—
107#2610C2214yes—
108#2609C2214yes—
109#2604C2214yes—
110#2601C2214yes—
111#2600C2212yes—
112#2600C2212yes—
113#2599C2212yes—
114#2599C2214yes—
115#2598C2214yes—
116#2598C2212yes—
117#2581C2211yescharacteristic
118#2580C2212yes—
119#2580C2212yes—
120#2580C2211yescharacteristic
121#2567C2211yescharacteristic
122#2567C2211yescharacteristic
123#2567C2211yescharacteristic
124#2563C2211yescharacteristic
125#2560C2214yes—
126#2558C2214yes—
127#2556C2214yes—
128#2556C2214yes—
129#2552C2212yes—
130#2551C2212yes—
131#2551C2212yes—
132#2550C2212yes—
133#2550C2212yes—
134#2548C2211yescharacteristic
135#2548C2211yescharacteristic
136#2548C2211yescharacteristic
137#2545C2214yes—
138#2545C2212yes—
139#2542C2214yes—
140#2541C2211yescharacteristic
141#2540C2214yes—
142#2540C2212yes—
143#2538C2212yes—
144#2536C2211yescharacteristic
145#2536C2214yes—
146#2535C2211yescharacteristic
147#2519C2214yes—
148#2501C2212yes—
149#2500C2212yes—
150#2492C2212yes—
151#2492C2214yes—
152#2491C2212yes—
153#2491C2214yes—
154#2491C2212yes—
155#2491C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2485C2211yescharacteristic
159#2485C2211yescharacteristic
160#2473C2214yes—
161#2465C2214yes—
162#2465C2214yes—
163#2464C2214yes—
164#2464C2214yes—
165#2463C2214yes—
166#2463C2214yes—
167#2462C2214yes—
168#2461C2214yes—
169#2461C2214yes—
170#2460C2214yes—
171#2460C2214yes—
172#2459C2214yes—
173#2458C2214yes—
174#2457C2214yes—
175#2456C2214yes—
176#2456C2214yes—
177#2455C2214yes—
178#2454C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2453C2212yes—
182#2452C2212yes—
183#2452C2214yes—
184#2452C2212yes—
185#2452C2214yes—
186#2452C2212yes—
187#2452C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2449C2214yes—
191#2449C2214yes—
192#2448C2212yes—
193#2446C2212yes—
194#2443C2214yes—
195#2442C2212yes—
196#2441C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2439C2212yes—
201#2436C2212yes—
202#2436C2212yes—
203#2434C2214yes—
204#2432C2214yes—
205#2432C2212yes—
206#2431C2212yes—
207#2429C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2427C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2426C2212yes—
215#2423C2212yes—
216#2423C2212yes—
217#2417C2212yes—
218#2416C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2409C2214yes—
222#2409C2212yes—
223#2407C2211yescharacteristic
224#2407C2211yescharacteristic
225#2407C2214yes—
226#2407C2212yes—
227#2406C2214yes—
228#2395C2212yes—
229#2388C2212yes—
230#2388C2214yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2367C2214yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2366C2212yes—
238#2366C2212yes—
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2363C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2361C2214yes—
247#2361C2212yes—
248#2360C2212yes—
249#2360C2212yes—
250#2360C2214yes—
251#2356C2214yes—
252Q8×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2214yes—
255#2347C2212yes—
256#2346C2212yes—
257#2341C2212yes—
258Q8×C22⋊C4C2212yes—
259#2332C2214yes—
260#2327C2212yes—
261#2326C2212yes—
262#2326C2212yes—
263#2326C2214yes—
264#2326C2212yes—
265#2323C2211yescharacteristic
266#2323C2211yescharacteristic
267#2323C2211yescharacteristic
268#2323C2211yescharacteristic
269#2323C2214yes—
270#2322C2212yes—
271#2322C2212yes—
272#2320C2212yes—
273#2317C2211yescharacteristic
274#2311C2211yescharacteristic
275#2310C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#127C2212yes—
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2214yes—
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294C4×#121C2212yes—
295#2290C2212yes—
296#2290C2212yes—
297#2290C2214yes—
298#2283C2211yescharacteristic
299#2276C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308C23×Q8C2312yes—
309Q82—28no—
310#557—28no—
311#557—216no—
312#556—216no—
313#555—216no—
314#554—28no—
315#554—216no—
316#554—216no—
317#554—216no—
318#554—232no—
319#553—216no—
320#553—216no—
321D4×Q8—28no—
322D4×Q8—216no—
323#548—216no—
324#548—216no—
325#548—216no—
326#547—216no—
327#542—216no—
328#542—216no—
329#537—216no—
330#536—28no—
331#533—28no—
332#533—232no—
333#533—216no—
334#533—216no—
335#533D4116yescomplemented
336#532—28no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8—28no—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2311yescharacteristic
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423#520—216no—
424C4×#41—216no—
425C4×#41—28no—
426C4×#41—28no—
427C2×C4×Q8—216no—
428C2×C4×Q8—28no—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2314yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
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×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2314yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2312yes—
499C22×C42C2314yes—
500C22×C42C2312yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505#400C2312yes—
506#400C2314yes—
507#400C2314yes—
508#399C2312yes—
509#399C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#397C2312yes—
525#397C2314yes—
526#397C2312yes—
527#397C2312yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#395C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2312yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2312yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#392C2312yes—
578#392C2314yes—
579#392C2312yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#384C2312yes—
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#384C2314yes—
778#383C2314yes—
779#383C2312yes—
780#382C2311yescharacteristic
781#382C2311yescharacteristic
782#382C2312yes—
783#382C2312yes—
784#382C2314yes—
785#381C2312yes—
786#381C2312yes—
787#381C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2314yes—
795#380C2314yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2314yes—
799#380C2314yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2312yes—
847#376C2314yes—
848C43C2312yes—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—82no—
861C2×#41—82no—
862C2×#41—82no—
863C2×#41—82no—
864C22×Q8—28no—
865C22×Q8—24no—
866C22×Q8—28no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—42no—
870C22×Q8—44no—
871C22×Q8—82no—
872C22×Q8—82no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2414yes—
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2414yes—
881C22×Q8C2412yes—
882C22×Q8C2414yes—
883C22×Q8C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—216no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—84no—
931C4⋊Q8C2×D418yes—
932C4⋊Q8C2×D418yes—
933#127—28no—
934#127—24no—
935#126—216no—
936#126—216no—
937#125—28no—
938#125—216no—
939#125—216no—
940#125—28no—
941#125—28no—
942#125—216no—
943#125C2×D4116yes—
944#124—28no—
945#124—28no—
946#124—28no—
947#124—28no—
948#124—216no—
949#124—28no—
950#124—216no—
951#124—28no—
952#124—216no—
953#124—44no—
954#124—84no—
955#123—216no—
956#123—28no—
957#123—216no—
958#123—28no—
959#123—84no—
960#123—84no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—24no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—84no—
982C22⋊Q8—84no—
983C22⋊Q8—84no—
984C22⋊Q8C2×D4116yes—
985C22⋊Q8C2×D4116yes—
986C22⋊Q8#4118yescomplemented
987#121—24no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—216no—
996#121—28no—
997#121—216no—
998#121—216no—
999#121—216no—
1000#121—44no—
1001#121—84no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—24no—
1011C4×Q8—216no—
1012C4×Q8—28no—
1013C4×Q8—24no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—216no—
1022C4×Q8—44no—
1023C4×Q8C2×D4116yes—
1024C4×Q8C2×D4116yes—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—216no—
1040C4×D4—216no—
1041C4×D4—216no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—216no—
1048C4×D4—28no—
1049C4×D4—44no—
1050C4×D4—84no—
1051C4×D4—84no—
1052C4×D4—84no—
1053C4×D4—84no—
1054#117—24no—
1055#117—24no—
1056#117—28no—
1057#117—24no—
1058#117—24no—
1059#117—216no—
1060#117—28no—
1061#117—24no—
1062#117—216no—
1063#117—42no—
1064#117C2×D4116yes—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—24no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C42—28no—
1201C2×C42—216no—
1202C2×C42—28no—
1203C2×C42—24no—
1204C2×C42—24no—
1205C2×C42C2×D418yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2414yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2414yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24C2511yescharacteristic
1296C24C2514yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2512yes—
1300#41—232no—
1301#41—416no—
1302#41—432no—
1303#41—816no—
1304#41—816no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—28no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—28no—
1313C2×Q8—28no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—28no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—42no—
1324C2×Q8—44no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—41no—
1330C2×Q8—44no—
1331C2×Q8—44no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—416no—
1335C2×Q8—432no—
1336C2×Q8—816no—
1337C2×Q8C22×D418yes—
1338C2×Q8C22×D418yes—
1339C2×Q8C2×#4114yes—
1340C2×Q82−1+414yes—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—41no—
1372C2×D4—44no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D42−1+414yes—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C2×#4114yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2514yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2514yes—
1469C22×C4C2514yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—22no—
1491C4⋊C4—28no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4C22×D418yes—
1538C4⋊C4C22×D4116yes—
1539C4⋊C4C22×D418yes—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D418yes—
1542C4⋊C4C22×D4116yes—
1543C4⋊C4C2×#4114yes—
1544C4⋊C4C2×#4118yes—
1545C22⋊C4—24no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4C22×D4116yes—
1603C22⋊C4C2×#4118yes—
1604C42—24no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—28no—
1614C42—24no—
1615C42—24no—
1616C42—28no—
1617C42—24no—
1618C42—24no—
1619C42—28no—
1620C42—24no—
1621C42—28no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—24no—
1626C42—42no—
1627C42—42no—
1628C42—42no—
1629C42—44no—
1630C42—44no—
1631C42—44no—
1632C42C22×D414yes—
1633C42C22×D414yes—
1634C42C22×D4116yes—
1635C42C22×D414yes—
1636C42C22×D414yes—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—24no—
1657C23—21no—
1658C23—24no—
1659C23—21no—
1660C23—24no—
1661C23—21no—
1662C23—24no—
1663C23—24no—
1664C23—21no—
1665C23—21no—
1666C23—24no—
1667C23—24no—
1668C23—21no—
1669C23C23×D412yes—
1670C23C22×#4112yes—
1671C23C2×2−1+414yes—
1672C23C2611yescharacteristic
1673Q8—28no—
1674Q8—216no—
1675Q8—28no—
1676Q8—48no—
1677Q8—48no—
1678Q8—416no—
1679Q8—44no—
1680Q8—48no—
1681Q8—44no—
1682Q8—88no—
1683Q8—88no—
1684D4—216no—
1685D4—28no—
1686D4—416no—
1687D4—44no—
1688D4—44no—
1689D4—416no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—48no—
1694D4—48no—
1695D4—88no—
1696D4—84no—
1697D4—88no—
1698D4—88no—
1699C2×C4—216no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—28no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—44no—
1778C2×C4—416no—
1779C2×C4—416no—
1780C2×C4—48no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—84no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—88no—
1792C2×C4—84no—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4C23×D418yes—
1797C2×C4C23×D418yes—
1798C2×C4C23×D412yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C22×#4114yes—
1802C2×C4C22×#4114yes—
1803C2×C4C22×#4112yes—
1804C2×C4C22×#4112yes—
1805C2×C4C2×2−1+414yes—
1806C2×C4C2×2−1+412yes—
1807C2×C4C2×2−1+412yes—
1808C2×C4#58512yes—
1809C22—22no—
1810C22—24no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—22no—
1815C22—24no—
1816C22—22no—
1817C22—22no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—42no—
1829C22—42no—
1830C22—41no—
1831C22—44no—
1832C22—44no—
1833C22—41no—
1834C22—41no—
1835C22—44no—
1836C22—41no—
1837C22—44no—
1838C22—41no—
1839C22—44no—
1840C22—41no—
1841C22—44no—
1842C22—44no—
1843C22—41no—
1844C22C24×D411yescharacteristic
1845C22C23×#4111yescharacteristic
1846C22C22×2−1+411yescharacteristic
1847C22C22×2−1+411yescharacteristic
1848C22C2×#58511yescharacteristic
1849C22H(7,𝔽2)11yescharacteristic
1850C22H(7,𝔽2)11yescharacteristic
1851C4—24no—
1852C4—22no—
1853C4—24no—
1854C4—22no—
1855C4—22no—
1856C4—28no—
1857C4—22no—
1858C4—22no—
1859C4—24no—
1860C4—28no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—44no—
1870C4—42no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—41no—
1877C4—42no—
1878C4—42no—
1879C4D4×#4114yes—
1880C4#348614yes—
1881C2—42no—
1882C2—44no—
1883C2—42no—
1884C2—84no—
1885C2—81no—
1886C2C2×D4×#4111yescharacteristic
1887C2C2×#348611yescharacteristic
1888C2#6285211yescharacteristic
1889C2#6295111yescharacteristic
1890C2#6295211yescharacteristic
1891C2#6299911yescharacteristic
1892C2#6300011yescharacteristic
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×#3511C2semidirect
2. C2×Q8×#41C2semidirect
3. #59833C2semidirect
4. #59658C2semidirect
5. #59657C2semidirect
6. #59458C2semidirect
7. #59151C2semidirect
8. #59136C2semidirect
9. #59084C2semidirect
10. #59080C2semidirect
11. #59078C2semidirect
12. #59067C2semidirect
13. #59057C2semidirect
14. #59036C2semidirect
15. #45289C2semidirect
16. #45245C2semidirect
17. #44989C2semidirect
18. #44915C2semidirect
19. #43119C2semidirect
20. #43116C2semidirect
21. #39891C2semidirect
22. #39866C2semidirect
23. #39854C2semidirect
24. #38375C2semidirect
25. #36442C2semidirect
26. #36231C2semidirect
27. #35573C2semidirect
28. #35526C2semidirect
29. #35249C2semidirect
30. #35243C2semidirect
31. #34977C2semidirect
32. #34909C2semidirect
33. #34294C2semidirect
34. #34231C2semidirect
35. C4×#536C2semidirect
335. #533D4semidirect
986. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×Q8×#412
#598332
#596582
#596572
#594582
#591512
#591362
#590842
#590802
#590782
#590672
#590572
#590362
#452892
#452452
#449892
#449152
#431192
#431162
#398912
#398662
#398542
#383752
#364422
#362312
#355732
#355262
#352492
#352432
#349772
#349092
#342942
#342312
C4×#5362