Finite Group Databasebeta

← #7987469

Subgroups — #7987469

Order 512.

6438 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59832C211yesmaximal, characteristic, complemented
4#59152C212yesmaximal, complemented
5#59114C212yesmaximal, complemented
6#59081C211yesmaximal, characteristic, complemented
7#59081C211yesmaximal, characteristic, complemented
8#51580C214yesmaximal, complemented
9#51529C214yesmaximal, complemented
10#45763C214yesmaximal, complemented
11#45343C212yesmaximal, complemented
12#45322C212yesmaximal, complemented
13#45291C212yesmaximal, complemented
14#45277C212yesmaximal, complemented
15#42676C212yesmaximal, complemented
16#42675C212yesmaximal, complemented
17#42442C212yesmaximal, complemented
18#42436C212yesmaximal, complemented
19#39599C211yesmaximal, characteristic, complemented
20#39170C211yesmaximal, characteristic, complemented
21#38954C211yesmaximal, characteristic, complemented
22#38911C211yesmaximal, characteristic, complemented
23#37793C214yesmaximal, complemented
24#37793C212yesmaximal, complemented
25#37709C212yesmaximal, complemented
26#36577C211yesmaximal, characteristic, complemented
27#36423C212yesmaximal, complemented
28#36405C211yesmaximal, characteristic, complemented
29#36405C212yesmaximal, complemented
30#36151C211yesmaximal, characteristic, complemented
31#35155C212yesmaximal
32#35154C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic
34#34691C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#557C2212yes—
44C2×#557C2212yes—
45C2×#556C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2212yes—
48C2×#554C2214yes—
49C2×#554C2212yes—
50C2×#554C2212yes—
51C2×#554C2211yescharacteristic
52C2×#552C2212yes—
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×#544C2212yes—
56C2×#542C2212yes—
57C2×#541C2212yes—
58C2×#541C2212yes—
59C2×#541C2214yes—
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#533C2214yes—
65C2×#533C2212yes—
66C2×#529C2211yescharacteristic
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×Q8C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2862C2211yescharacteristic
72#2857C2211yescharacteristic
73#2857C2212yes—
74#2857C2211yescharacteristic
75#2855C2212yes—
76#2855C2214yes—
77#2855C2214yes—
78#2853C2214yes—
79#2817C2214yes—
80#2814C2214yes—
81#2734C2214yes—
82#2729C2214yes—
83#2729C2214yes—
84#2726C2214yes—
85#2726C2214yes—
86#2726C2214yes—
87#2725C2214yes—
88#2719C2214yes—
89#2719C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2716C2214yes—
93#2713C2214yes—
94#2713C2214yes—
95#2704C2214yes—
96#2704C2214yes—
97#2702C2214yes—
98#2702C2214yes—
99#2700C2214yes—
100#2698C2214yes—
101#2698C2214yes—
102#2698C2214yes—
103#2698C2214yes—
104#2698C2214yes—
105#2690C2214yes—
106#2690C2214yes—
107#2689C2214yes—
108#2689C2214yes—
109#2689C2214yes—
110#2689C2214yes—
111#2687C2214yes—
112#2677C2214yes—
113#2674C2214yes—
114#2642C2212yes—
115#2638C2214yes—
116#2630C2214yes—
117#2629C2212yes—
118#2627C2214yes—
119#2627C2214yes—
120#2625C2214yes—
121#2625C2212yes—
122#2621C2212yes—
123#2621C2214yes—
124#2584C2212yes—
125#2582C2211yescharacteristic
126#2582C2212yes—
127#2582C2211yescharacteristic
128#2582C2212yes—
129#2568C2211yescharacteristic
130#2568C2212yes—
131#2568C2211yescharacteristic
132#2565C2212yes—
133#2556C2214yes—
134#2551C2212yes—
135#2551C2212yes—
136#2550C2214yes—
137#2550C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2546C2212yes—
141#2546C2211yescharacteristic
142#2546C2212yes—
143#2546C2211yescharacteristic
144#2546C2214yes—
145#2536C2212yes—
146#2519C2214yes—
147#2499C2212yes—
148#2492C2212yes—
149#2492C2212yes—
150#2492C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2485C2214yes—
154#2485C2212yes—
155#2484C2214yes—
156#2478C2214yes—
157#2478C2214yes—
158#2478C2214yes—
159#2478C2214yes—
160#2478C2212yes—
161#2474C2214yes—
162#2473C2212yes—
163#2470C2212yes—
164#2469C2214yes—
165#2469C2214yes—
166#2469C2214yes—
167#2468C2214yes—
168#2468C2214yes—
169#2468C2214yes—
170#2466C2214yes—
171#2466C2212yes—
172#2465C2214yes—
173#2465C2212yes—
174#2462C2214yes—
175#2462C2214yes—
176#2462C2214yes—
177#2462C2214yes—
178#2462C2212yes—
179#2459C2214yes—
180#2455C2212yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2214yes—
185#2453C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2214yes—
190#2453C2214yes—
191#2453C2214yes—
192#2453C2211yescharacteristic
193#2451C2212yes—
194#2451C2214yes—
195#2451C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2451C2211yescharacteristic
199#2451C2214yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2214yes—
206#2449C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2447C2211yescharacteristic
212#2446C2212yes—
213#2446C2212yes—
214#2446C2214yes—
215#2446C2211yescharacteristic
216#2446C2214yes—
217#2442C2214yes—
218#2442C2212yes—
219#2441C2211yescharacteristic
220#2440C2211yescharacteristic
221#2439C2212yes—
222#2439C2212yes—
223#2434C2211yescharacteristic
224#2434C2212yes—
225#2432C2212yes—
226#2432C2211yescharacteristic
227#2429C2212yes—
228#2429C2211yescharacteristic
229#2429C2212yes—
230#2429C2211yescharacteristic
231#2429C2212yes—
232#2429C2212yes—
233#2423C2211yescharacteristic
234#2422C2211yescharacteristic
235#2421C2212yes—
236#2421C2212yes—
237#2420C2212yes—
238#2417C2211yescharacteristic
239#2415C2212yes—
240#2415C2214yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2211yescharacteristic
244#2415C2212yes—
245#2413C2214yes—
246#2409C2212yes—
247#2409C2211yescharacteristic
248#2407C2211yescharacteristic
249#2399C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2378C2214yes—
254#2370C2212yes—
255#2369C2211yescharacteristic
256#2365C2212yes—
257#2365C2214yes—
258#2365C2212yes—
259#2365C2212yes—
260#2365C2212yes—
261#2365C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2362C2212yes—
266#2362C2212yes—
267#2362C2212yes—
268#2354C2212yes—
269#2354C2211yescharacteristic
270#2351C2212yes—
271#2351C2212yes—
272Q8×C4⋊C4C2211yescharacteristic
273#2344C2212yes—
274Q8×C22⋊C4C2212yes—
275#2330C2212yes—
276#2327C2212yes—
277#2323C2212yes—
278#2323C2214yes—
279#2323C2212yes—
280#2319C2212yes—
281#2316C2212yes—
282#2310C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2211yescharacteristic
293C4×#123C2212yes—
294#2296C2214yes—
295#2296C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C23×Q8C2311yescharacteristic
304#563—232no—
305Q82—28no—
306Q82—28no—
307#557—216no—
308#557—216no—
309#557—28no—
310#557—28no—
311#556—216no—
312#556—216no—
313#556—28no—
314#554—232no—
315#554—216no—
316#554—216no—
317#554D4116yescomplemented
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321#544—216no—
322#542—216no—
323#541—216no—
324#541—216no—
325#541—232no—
326#533—28no—
327#533—28no—
328#533—216no—
329#533—216no—
330#533—232no—
331#533—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2311yescharacteristic
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2311yescharacteristic
410C4×#41—216no—
411C4×#41—28no—
412C2×C4×Q8—28no—
413C2×C4×Q8—216no—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2314yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C42C2314yes—
473C22×C42C2312yes—
474C22×C42C2311yescharacteristic
475C22×C42C2312yes—
476C22×C42C2311yescharacteristic
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2312yes—
491#400C2312yes—
492#399C2312yes—
493#399C2312yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2312yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2312yes—
508#398C2314yes—
509#398C2312yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2312yes—
547#396C2312yes—
548#396C2312yes—
549#396C2312yes—
550#395C2312yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2312yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2312yes—
559#395C2312yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#393C2314yes—
575#393C2312yes—
576#393C2314yes—
577#393C2314yes—
578#392C2312yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2314yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2314yes—
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2314yes—
616#391C2314yes—
617#391C2312yes—
618#391C2311yescharacteristic
619#391C2314yes—
620#391C2314yes—
621#391C2314yes—
622#391C2314yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2311yescharacteristic
673#389C2314yes—
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
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#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2314yes—
742#387C2312yes—
743#387C2312yes—
744#387C2312yes—
745#387C2312yes—
746#387C2312yes—
747#387C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#384C2311yescharacteristic
775#384C2312yes—
776#382C2312yes—
777#382C2312yes—
778#382C2314yes—
779#382C2312yes—
780#382C2312yes—
781#382C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2314yes—
787#381C2314yes—
788#381C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—24no—
848C22×Q8—24no—
849C22×Q8—28no—
850C22×Q8—24no—
851C22×Q8—28no—
852C22×Q8—44no—
853C22×Q8—42no—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2414yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2414yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2414yes—
884C4⋊Q8—24no—
885C4⋊Q8—28no—
886C4⋊Q8—216no—
887C4⋊Q8—216no—
888C4⋊Q8—24no—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—216no—
893C4⋊Q8—28no—
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—48no—
903C4⋊Q8—44no—
904C4⋊Q8C2×D418yes—
905#126—216no—
906#126—216no—
907#126—28no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#125—24no—
913#125—28no—
914#125—28no—
915#125—216no—
916#125—28no—
917#125—216no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125C2×D4116yes—
927#124—24no—
928#124—28no—
929#124—216no—
930#123—216no—
931#123—28no—
932#123—44no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—28no—
936C22⋊Q8—24no—
937C22⋊Q8—24no—
938C22⋊Q8—28no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—28no—
942C22⋊Q8—216no—
943C22⋊Q8—28no—
944C22⋊Q8—24no—
945C22⋊Q8—24no—
946C22⋊Q8—28no—
947C22⋊Q8—216no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—216no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—44no—
956C22⋊Q8—42no—
957C22⋊Q8—44no—
958C22⋊Q8C2×D4116yes—
959C22⋊Q8C2×D4132yes—
960#121—24no—
961C4×Q8—24no—
962C4×Q8—28no—
963C4×Q8—28no—
964C4×Q8—28no—
965C4×Q8—24no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—216no—
969C4×Q8—28no—
970C4×Q8—216no—
971C4×Q8—28no—
972C4×Q8—24no—
973C4×Q8—28no—
974C4×Q8—216no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—216no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—24no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—24no—
987C4×Q8—28no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8C2×D418yes—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—28no—
994C4×D4—216no—
995C4×D4—28no—
996C4×D4—24no—
997C4×D4—216no—
998C4×D4—28no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4C2×D418yes—
1002C4×D4C2×D4116yes—
1003#117—28no—
1004#117—216no—
1005#117—28no—
1006#117—24no—
1007#117—28no—
1008#117—28no—
1009#117—28no—
1010#117—216no—
1011#117—28no—
1012#117—44no—
1013#117—48no—
1014#117—44no—
1015C2×C4⋊C4—216no—
1016C2×C4⋊C4—28no—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4C2×D4116yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C42—216no—
1146C2×C42—28no—
1147C2×C42—24no—
1148C2×C42—28no—
1149C2×C42—24no—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257C24C2511yescharacteristic
1258C24C2512yes—
1259C24C2511yescharacteristic
1260#41—232no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—22no—
1266C2×Q8—28no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—28no—
1271C2×Q8—28no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×Q8—28no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—42no—
1287C2×Q8—44no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—44no—
1292C2×Q8—44no—
1293C2×Q8—42no—
1294C2×Q8—44no—
1295C2×Q8—44no—
1296C2×Q8—432no—
1297C2×Q8—416no—
1298C2×Q8C22×D414yes—
1299C2×Q8C22×D418yes—
1300C2×Q82−1+414yes—
1301C2×Q82−1+414yes—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4C22×D414yes—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—28no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4C22×D418yes—
1351C22×C4C22×D4116yes—
1352C22×C42−1+414yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4C22×D414yes—
1468C4⋊C4C22×D418yes—
1469C4⋊C4C22×D418yes—
1470C4⋊C4C22×D4116yes—
1471C4⋊C4C22×D414yes—
1472C4⋊C4C22×D418yes—
1473C4⋊C4C22×D4116yes—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—22no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4C22×D418yes—
1510C22⋊C4C22×D4116yes—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—28no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—28no—
1520C42—22no—
1521C42—28no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—28no—
1527C42—24no—
1528C42—24no—
1529C42—28no—
1530C42—28no—
1531C42—28no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—22no—
1537C42—28no—
1538C42—24no—
1539C42—22no—
1540C42—41no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42C22×D414yes—
1545C42C22×D418yes—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—21no—
1556C23—21no—
1557C23—22no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23C23×D414yes—
1566C23C2×2−1+412yes—
1567C23C2611yescharacteristic
1568Q8—28no—
1569Q8—28no—
1570Q8—28no—
1571Q8—48no—
1572Q8—416no—
1573Q8—48no—
1574Q8—48no—
1575Q8—44no—
1576Q8—44no—
1577Q8—48no—
1578Q8—84no—
1579Q8—88no—
1580Q8—88no—
1581D4—216no—
1582D4—28no—
1583D4—44no—
1584D4—84no—
1585C2×C4—216no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—28no—
1605C2×C4—216no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—416no—
1670C2×C4—48no—
1671C2×C4—416no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—84no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—84no—
1679C2×C4C23×D414yes—
1680C2×C4C23×D418yes—
1681C2×C4C23×D414yes—
1682C2×C4C23×D414yes—
1683C2×C4C23×D412yes—
1684C2×C4C23×D412yes—
1685C2×C4C23×D412yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4C2×2−1+414yes—
1688C2×C4C2×2−1+414yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4#58512yes—
1693C2×C4#58512yes—
1694C22—24no—
1695C22—22no—
1696C22—24no—
1697C22—22no—
1698C22—24no—
1699C22—22no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22C24×D411yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C22×2−1+411yescharacteristic
1718C22C22×2−1+411yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C222−1+611yescharacteristic
1722C4—24no—
1723C4—28no—
1724C4—22no—
1725C4—22no—
1726C4—24no—
1727C4—22no—
1728C4—24no—
1729C4—24no—
1730C4—24no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—41no—
1741C4—44no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—41no—
1746C4—44no—
1747C4—42no—
1748C4—41no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4#348614yes—
1753C4#348914yes—
1754C2—44no—
1755C2—42no—
1756C2—81no—
1757C2#6276111yescharacteristic
1758C2C2×#348611yescharacteristic
1759C2C2×#348911yescharacteristic
1760C2#6294711yescharacteristic
1761C2#6295311yescharacteristic
1762C2#6298811yescharacteristic
1763C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
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×#3555C2semidirect
2. C2×Q8×#41C2semidirect
3. #59832C2semidirect
4. #59152C2semidirect
5. #59114C2semidirect
6. #59081C2semidirect
7. #59081C2semidirect
8. #51580C2semidirect
9. #51529C2semidirect
10. #45763C2semidirect
11. #45343C2semidirect
12. #45322C2semidirect
13. #45291C2semidirect
14. #45277C2semidirect
15. #42676C2semidirect
16. #42675C2semidirect
17. #42442C2semidirect
18. #42436C2semidirect
19. #39599C2semidirect
20. #39170C2semidirect
21. #38954C2semidirect
22. #38911C2semidirect
23. #37793C2semidirect
24. #37793C2semidirect
25. #37709C2semidirect
26. #36577C2semidirect
27. #36423C2semidirect
28. #36405C2semidirect
29. #36405C2semidirect
30. #36151C2semidirect
32. #35154C2semidirect
34. #34691C2semidirect
35. #34484C2semidirect
317. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×Q8×#412
#598322
#591522
#591142
#590812
#515802
#515292
#457632
#453432
#453222
#452912
#452772
#426762
#426752
#424422
#424362
#395992
#391702
#389542
#389112
#377932
#377092
#365772
#364232
#364052
#361512
#351552
#351542
#347242
#346912
#344842