Finite Group Databasebeta

← #7882840

Subgroups — #7882840

Order 512.

6658 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3555C211yesmaximal, characteristic, complemented
3#59832C211yesmaximal, characteristic, complemented
4#59755C212yesmaximal, complemented
5#59084C211yesmaximal, characteristic, complemented
6#59082C212yesmaximal, complemented
7#59081C211yesmaximal, characteristic, complemented
8#49576C214yesmaximal, complemented
9#47936C214yesmaximal, complemented
10#47206C214yesmaximal, complemented
11#45424C212yesmaximal, complemented
12#45287C212yesmaximal, complemented
13#45246C212yesmaximal, complemented
14#45195C212yesmaximal, complemented
15#45175C214yesmaximal, complemented
16#42441C212yesmaximal, complemented
17#42423C212yesmaximal, complemented
18#39746C211yesmaximal, characteristic, complemented
19#39726C211yesmaximal, characteristic, complemented
20#39468C212yesmaximal, complemented
21#39347C212yesmaximal, complemented
22#38950C212yesmaximal, complemented
23#38923C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#37774C212yesmaximal, complemented
26#36577C211yesmaximal, characteristic, complemented
27#36419C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#35959C212yesmaximal, complemented
30#35802C212yesmaximal, complemented
31#35607C212yesmaximal, complemented
32#35575C212yesmaximal, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34332C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yes—
38#3522—216no—
39C2×#559C2211yescharacteristic
40C2×#559C2212yes—
41C2×Q82C2211yescharacteristic
42C2×Q82C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#557C2212yes—
45C2×#556C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2212yes—
48C2×#554C2212yes—
49C2×#554C2211yescharacteristic
50C2×#552C2212yes—
51C2×#550C2211yescharacteristic
52C2×#548C2212yes—
53C2×#547C2212yes—
54C2×#547C2214yes—
55C2×#544C2212yes—
56C2×#542C2212yes—
57C2×#542C2214yes—
58C2×#542C2212yes—
59C2×#541C2214yes—
60C2×#541C2212yes—
61C2×#541C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#520C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2858C2211yescharacteristic
72#2857C2211yescharacteristic
73#2857C2212yes—
74#2856C2211yescharacteristic
75#2850C2212yes—
76#2814C2214yes—
77#2734C2214yes—
78#2731C2214yes—
79#2729C2214yes—
80#2727C2214yes—
81#2723C2214yes—
82#2722C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2715C2214yes—
86#2715C2214yes—
87#2715C2214yes—
88#2712C2214yes—
89#2707C2214yes—
90#2707C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2704C2214yes—
94#2702C2214yes—
95#2695C2214yes—
96#2695C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2694C2214yes—
100#2691C2214yes—
101#2691C2214yes—
102#2691C2214yes—
103#2690C2214yes—
104#2690C2214yes—
105#2681C2214yes—
106#2677C2214yes—
107#2674C2214yes—
108#2672C2214yes—
109#2671C2214yes—
110#2663C2214yes—
111#2658C2212yes—
112#2630C2214yes—
113#2625C2212yes—
114#2624C2212yes—
115#2620C2212yes—
116#2618C2214yes—
117#2616C2214yes—
118#2602C2214yes—
119#2592C2212yes—
120#2582C2211yescharacteristic
121#2582C2212yes—
122#2582C2211yescharacteristic
123#2568C2211yescharacteristic
124#2568C2212yes—
125#2564C2214yes—
126#2564C2214yes—
127#2560C2214yes—
128#2559C2214yes—
129#2559C2214yes—
130#2559C2214yes—
131#2555C2214yes—
132#2553C2214yes—
133#2553C2212yes—
134#2553C2212yes—
135#2553C2214yes—
136#2552C2211yescharacteristic
137#2551C2212yes—
138#2551C2212yes—
139#2550C2212yes—
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2547C2212yes—
143#2547C2212yes—
144#2547C2211yescharacteristic
145#2546C2211yescharacteristic
146#2546C2214yes—
147#2545C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2544C2212yes—
151#2544C2212yes—
152#2542C2211yescharacteristic
153#2540C2212yes—
154#2538C2212yes—
155#2537C2211yescharacteristic
156#2521C2214yes—
157#2521C2214yes—
158#2521C2214yes—
159#2519C2214yes—
160#2500C2212yes—
161#2498C2214yes—
162#2496C2212yes—
163#2492C2212yes—
164#2491C2214yes—
165#2491C2212yes—
166#2491C2212yes—
167#2490C2212yes—
168#2489C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2214yes—
171#2485C2212yes—
172#2485C2214yes—
173#2481C2214yes—
174#2479C2214yes—
175#2475C2214yes—
176#2473C2214yes—
177#2473C2212yes—
178#2469C2214yes—
179#2467C2214yes—
180#2465C2214yes—
181#2465C2212yes—
182#2462C2212yes—
183#2460C2214yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2454C2214yes—
189#2453C2212yes—
190#2453C2214yes—
191#2453C2212yes—
192#2453C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2451C2211yescharacteristic
201#2451C2212yes—
202#2449C2212yes—
203#2448C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2446C2214yes—
207#2446C2211yescharacteristic
208#2442C2212yes—
209#2442C2214yes—
210#2442C2214yes—
211#2441C2214yes—
212#2440C2214yes—
213#2440C2211yescharacteristic
214#2439C2212yes—
215#2439C2214yes—
216#2434C2211yescharacteristic
217#2432C2214yes—
218#2432C2214yes—
219#2432C2212yes—
220#2430C2214yes—
221#2429C2212yes—
222#2429C2214yes—
223#2429C2211yescharacteristic
224#2429C2212yes—
225#2428C2212yes—
226#2427C2212yes—
227#2427C2212yes—
228#2427C2211yescharacteristic
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2427C2212yes—
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2212yes—
237#2423C2211yescharacteristic
238#2422C2212yes—
239#2417C2212yes—
240#2417C2211yescharacteristic
241#2417C2214yes—
242#2417C2214yes—
243#2416C2212yes—
244#2414C2212yes—
245#2409C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2399C2212yes—
249#2396C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2395C2214yes—
253#2370C2212yes—
254#2369C2211yescharacteristic
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2367C2214yes—
259#2367C2212yes—
260#2367C2212yes—
261#2365C2212yes—
262#2365C2212yes—
263#2365C2212yes—
264#2363C2212yes—
265#2362C2212yes—
266#2360C2214yes—
267#2360C2212yes—
268#2351C2212yes—
269Q8×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2212yes—
272#2345C2212yes—
273#2341C2212yes—
274Q8×C22⋊C4C2212yes—
275#2330C2212yes—
276#2329C2214yes—
277#2326C2212yes—
278#2324C2212yes—
279#2316C2212yes—
280#2311C2214yes—
281#2311C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×#121C2212yes—
293#2297C2212yes—
294#2295C2211yescharacteristic
295C2×#389C2212yes—
296#2290C2212yes—
297#2285C2212yes—
298#2275C2212yes—
299C42×D4C2211yescharacteristic
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2314yes—
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305#563—232no—
306#559—28no—
307#559—216no—
308Q82—28no—
309Q82—28no—
310#557—216no—
311#557—28no—
312#556—216no—
313#556—216no—
314#556—28no—
315#554—216no—
316#554D4116yescomplemented
317#552—216no—
318#550—28no—
319#548—216no—
320#547—232no—
321#547—216no—
322#544—216no—
323#542—216no—
324#542—232no—
325#542—216no—
326#541—216no—
327#541—216no—
328#541—232no—
329#533—28no—
330#533—28no—
331#532—28no—
332#532—216no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351#529—216no—
352#529—28no—
353#529—28no—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430#520—216no—
431C2×C4×Q8—28no—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×#117C2312yes—
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2314yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2314yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2314yes—
484C22×C4⋊C4C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
488C22×C42C2312yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#395C2312yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2312yes—
558#395C2312yes—
559#395C2312yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#393C2312yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#392C2314yes—
590#392C2314yes—
591#391C2314yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2312yes—
611#391C2314yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2314yes—
616#391C2311yescharacteristic
617#391C2312yes—
618#391C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2312yes—
665#389C2314yes—
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2311yescharacteristic
672#389C2314yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
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#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2312yes—
765#384C2312yes—
766#384C2312yes—
767#382C2312yes—
768#382C2314yes—
769#382C2312yes—
770#382C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842#376C2312yes—
843C2×#95C2314yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—28no—
847C2×#41—28no—
848C2×#41—216no—
849C2×#41—44no—
850C2×#41—48no—
851C2×#41—44no—
852C2×#41—84no—
853C2×#41—82no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—42no—
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2414yes—
867C22×Q8C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C4⋊Q8—24no—
896C4⋊Q8—216no—
897C4⋊Q8—216no—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—216no—
905C4⋊Q8—24no—
906C4⋊Q8—28no—
907C4⋊Q8—24no—
908C4⋊Q8—44no—
909C4⋊Q8—84no—
910C4⋊Q8C2×D418yes—
911#127—28no—
912#127—24no—
913#126—216no—
914#126—216no—
915#126—216no—
916#126—28no—
917#126—28no—
918#126—216no—
919#126—216no—
920#126—216no—
921#126—216no—
922#125—24no—
923#125—24no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125C2×D4116yes—
933#124—28no—
934#124—28no—
935#124—24no—
936#124—24no—
937#124—28no—
938#124—216no—
939#124—216no—
940#124—216no—
941#124—28no—
942#124—28no—
943#124—44no—
944#124—44no—
945#124—44no—
946#124—48no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—28no—
952#123—28no—
953#123—216no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—44no—
969C22⋊Q8—42no—
970C22⋊Q8—44no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—84no—
974C22⋊Q8—84no—
975C22⋊Q8C2×D4132yes—
976C22⋊Q8C2×D4116yes—
977#121—24no—
978#121—24no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—216no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—84no—
988#121—82no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—216no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—44no—
1009C4×Q8—82no—
1010C4×Q8C2×D418yes—
1011C4×D4—216no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—28no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4C2×D418yes—
1028C4×D4C2×D4116yes—
1029#117—28no—
1030#117—28no—
1031#117—216no—
1032#117—28no—
1033#117—216no—
1034#117—28no—
1035#117—28no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—216no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—84no—
1041C2×C4⋊C4C2×D4116yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C42—24no—
1176C2×C42—28no—
1177C2×C42—24no—
1178C2×C42—44no—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2414yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24C2511yescharacteristic
1272C24C2514yes—
1273C24C2512yes—
1274C24C2511yescharacteristic
1275#41—432no—
1276#41—832no—
1277#41—816no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×Q8—24no—
1282C2×Q8—22no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—28no—
1286C2×Q8—28no—
1287C2×Q8—22no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—44no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8—416no—
1309C2×Q8C22×D414yes—
1310C2×Q8C22×D418yes—
1311C2×Q82−1+414yes—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—24no—
1318C2×D4—28no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—41no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4C22×D414yes—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—28no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—28no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—41no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4C22×D418yes—
1392C22×C4C22×D4116yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D4116yes—
1498C4⋊C4C22×D418yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D414yes—
1501C4⋊C4C22×D418yes—
1502C4⋊C4C22×D4116yes—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—41no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4C22×D418yes—
1556C22⋊C4C22×D4116yes—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—24no—
1565C42—22no—
1566C42—28no—
1567C42—28no—
1568C42—24no—
1569C42—24no—
1570C42—24no—
1571C42—28no—
1572C42—28no—
1573C42—28no—
1574C42—22no—
1575C42—22no—
1576C42—24no—
1577C42—22no—
1578C42—24no—
1579C42—42no—
1580C42—42no—
1581C42—41no—
1582C42—44no—
1583C42—41no—
1584C42—44no—
1585C42—44no—
1586C42C22×D414yes—
1587C42C22×D418yes—
1588C422−1+414yes—
1589C23—21no—
1590C23—22no—
1591C23—21no—
1592C23—21no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—21no—
1601C23—21no—
1602C23—24no—
1603C23—21no—
1604C23—24no—
1605C23—21no—
1606C23—24no—
1607C23—24no—
1608C23—21no—
1609C23—24no—
1610C23—21no—
1611C23—24no—
1612C23—21no—
1613C23—24no—
1614C23—21no—
1615C23C23×D414yes—
1616C23#58512yes—
1617C23C2611yescharacteristic
1618Q8—28no—
1619Q8—28no—
1620Q8—48no—
1621Q8—48no—
1622Q8—44no—
1623Q8—44no—
1624Q8—48no—
1625Q8—44no—
1626Q8—84no—
1627Q8—88no—
1628Q8—88no—
1629D4—28no—
1630D4—44no—
1631D4—416no—
1632D4—416no—
1633D4—48no—
1634D4—48no—
1635D4—48no—
1636D4—84no—
1637D4—84no—
1638D4—88no—
1639D4—164no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—216no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—416no—
1721C2×C4—48no—
1722C2×C4—416no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—82no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4—164no—
1735C2×C4C23×D414yes—
1736C2×C4C23×D418yes—
1737C2×C4C23×D412yes—
1738C2×C4C23×D414yes—
1739C2×C4C23×D414yes—
1740C2×C4C23×D412yes—
1741C2×C4C23×D412yes—
1742C2×C4C2×2−1+412yes—
1743C2×C4C2×2−1+412yes—
1744C2×C4C2×2−1+414yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C22—22no—
1750C22—24no—
1751C22—22no—
1752C22—24no—
1753C22—24no—
1754C22—22no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—44no—
1764C22—41no—
1765C22—41no—
1766C22—44no—
1767C22—41no—
1768C22—44no—
1769C22—44no—
1770C22—41no—
1771C22—41no—
1772C22—44no—
1773C22—41no—
1774C22—44no—
1775C22—41no—
1776C22—44no—
1777C22C24×D411yescharacteristic
1778C22C22×2−1+411yescharacteristic
1779C22C22×2−1+411yescharacteristic
1780C22C2×#58511yescharacteristic
1781C22C2×#58511yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22H(7,𝔽2)11yescharacteristic
1784C4—24no—
1785C4—28no—
1786C4—22no—
1787C4—24no—
1788C4—24no—
1789C4—24no—
1790C4—22no—
1791C4—22no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—44no—
1813C4#348914yes—
1814C4#349714yes—
1815C2—42no—
1816C2—44no—
1817C2—84no—
1818C2—81no—
1819C2C2×#349711yescharacteristic
1820C2C2×#348911yescharacteristic
1821C2#6283111yescharacteristic
1822C2#6294311yescharacteristic
1823C2#6296611yescharacteristic
1824C2#6298711yescharacteristic
1825C2#6303311yescharacteristic
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×#3522C2semidirect
2. C2×#3555C2semidirect
3. #59832C2semidirect
4. #59755C2semidirect
5. #59084C2semidirect
6. #59082C2semidirect
7. #59081C2semidirect
8. #49576C2semidirect
9. #47936C2semidirect
10. #47206C2semidirect
11. #45424C2semidirect
12. #45287C2semidirect
13. #45246C2semidirect
14. #45195C2semidirect
15. #45175C2semidirect
16. #42441C2semidirect
17. #42423C2semidirect
18. #39746C2semidirect
19. #39726C2semidirect
20. #39468C2semidirect
21. #39347C2semidirect
22. #38950C2semidirect
23. #38923C2semidirect
24. #38909C2semidirect
25. #37774C2semidirect
26. #36577C2semidirect
27. #36419C2semidirect
28. #36150C2semidirect
29. #35959C2semidirect
30. #35802C2semidirect
31. #35607C2semidirect
32. #35575C2semidirect
33. #34932C2semidirect
34. #34691C2semidirect
35. #34332C2semidirect
316. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35552
#598322
#597552
#590842
#590822
#590812
#495762
#479362
#472062
#454242
#452872
#452462
#451952
#451752
#424412
#424232
#397462
#397262
#394682
#393472
#389502
#389232
#389092
#377742
#365772
#364192
#361502
#359592
#358022
#356072
#355752
#349322
#346912
#343322