Finite Group Databasebeta

← #7882839

Subgroups — #7882839

Order 512.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic, complemented
2C2×#3555C211yesmaximal, characteristic, complemented
3#59833C212yesmaximal, complemented
4#59655C211yesmaximal, characteristic, complemented
5#59081C211yesmaximal, characteristic, complemented
6#59079C211yesmaximal, characteristic, complemented
7#59025C212yesmaximal, complemented
8#48827C214yesmaximal, complemented
9#47855C214yesmaximal, complemented
10#46815C214yesmaximal, complemented
11#45322C212yesmaximal, complemented
12#45291C212yesmaximal, complemented
13#45274C212yesmaximal, complemented
14#45195C212yesmaximal, complemented
15#45177C214yesmaximal, complemented
16#42647C212yesmaximal, complemented
17#42436C212yesmaximal, complemented
18#39724C211yesmaximal, characteristic, complemented
19#39596C211yesmaximal, characteristic, complemented
20#39490C212yesmaximal, complemented
21#39427C212yesmaximal, complemented
22#38954C211yesmaximal, characteristic, complemented
23#38917C212yesmaximal, complemented
24#38911C211yesmaximal, characteristic, complemented
25#37663C212yesmaximal, complemented
26#36446C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#36033C212yesmaximal, complemented
30#35773C212yesmaximal, complemented
31#35644C212yesmaximal, complemented
32#35611C212yesmaximal
33#34929C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic
35#34317C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38#3501—216no—
39C2×Q82C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#557C2212yescomplemented
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#554C2212yes—
47C2×#554C2214yes—
48C2×#554C2212yes—
49C2×#554C2212yes—
50C2×#554C2211yescharacteristic
51C2×#552C2212yescomplemented
52C2×D4×Q8C2212yes—
53C2×D4×Q8C2211yescharacteristic
54C2×D4×Q8C2211yescharacteristic
55C2×#544C2212yes—
56C2×#544C2212yescomplemented
57C2×#543C2214yes—
58C2×#542C2212yes—
59C2×#541C2212yescomplemented
60C2×#541C2212yescomplemented
61C2×#541C2214yescomplemented
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#533C2211yescharacteristic, complemented
65C2×#533C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic
67C22×C22⋊Q8C2212yes—
68C22×C22⋊Q8C2212yes—
69C2×#518C2212yes—
70C22×C4×D4C2211yescharacteristic
71#2862C2212yescomplemented
72#2862C2211yescharacteristic, complemented
73#2857C2211yescharacteristic
74#2857C2211yescharacteristic, complemented
75#2848C2212yes—
76#2817C2214yescomplemented
77#2729C2214yes—
78#2729C2214yescomplemented
79#2728C2214yescomplemented
80#2723C2214yes—
81#2723C2214yescomplemented
82#2720C2214yes—
83#2720C2214yescomplemented
84#2720C2214yescomplemented
85#2719C2214yescomplemented
86#2719C2214yescomplemented
87#2716C2214yescomplemented
88#2713C2214yescomplemented
89#2713C2214yescomplemented
90#2704C2214yes—
91#2702C2214yescomplemented
92#2700C2214yescomplemented
93#2700C2214yescomplemented
94#2698C2214yescomplemented
95#2698C2214yescomplemented
96#2698C2214yescomplemented
97#2698C2214yescomplemented
98#2692C2214yescomplemented
99#2690C2214yes—
100#2690C2214yes—
101#2690C2214yescomplemented
102#2690C2214yescomplemented
103#2689C2214yescomplemented
104#2689C2214yescomplemented
105#2689C2214yescomplemented
106#2689C2214yescomplemented
107#2689C2214yescomplemented
108#2687C2214yescomplemented
109#2677C2214yescomplemented
110#2663C2214yescomplemented
111#2638C2214yes—
112#2628C2212yescomplemented
113#2625C2212yescomplemented
114#2623C2214yescomplemented
115#2621C2212yes—
116#2621C2212yescomplemented
117#2621C2214yescomplemented
118#2602C2214yes—
119#2582C2211yescharacteristic, complemented
120#2581C2212yescomplemented
121#2580C2212yes—
122#2568C2211yescharacteristic, complemented
123#2568C2212yescomplemented
124#2568C2212yescomplemented
125#2568C2211yescharacteristic, complemented
126#2567C2212yescomplemented
127#2561C2214yes—
128#2561C2214yes—
129#2560C2214yes—
130#2560C2214yescomplemented
131#2556C2212yes—
132#2556C2214yescomplemented
133#2556C2212yescomplemented
134#2556C2214yescomplemented
135#2551C2211yescharacteristic, complemented
136#2550C2214yescomplemented
137#2550C2212yescomplemented
138#2550C2212yescomplemented
139#2550C2212yescomplemented
140#2550C2212yescomplemented
141#2547C2211yescharacteristic
142#2547C2212yes—
143#2546C2211yescharacteristic, complemented
144#2546C2211yescharacteristic, complemented
145#2542C2211yescharacteristic
146#2542C2212yescomplemented
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2536C2212yes—
150#2519C2214yescomplemented
151#2506C2212yescomplemented
152#2506C2214yescomplemented
153#2503C2214yescomplemented
154#2503C2214yescomplemented
155#2499C2212yescomplemented
156#2499C2214yescomplemented
157#2492C2211yescharacteristic
158#2492C2212yes—
159#2492C2214yes—
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2214yescomplemented
164#2492C2211yescharacteristic, complemented
165#2489C2214yes—
166#2489C2212yes—
167#2489C2212yes—
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2489C2214yescomplemented
174#2489C2214yescomplemented
175#2489C2214yescomplemented
176#2485C2212yes—
177#2482C2214yes—
178#2481C2214yescomplemented
179#2480C2214yes—
180#2480C2214yes—
181#2480C2214yes—
182#2480C2212yes—
183#2480C2214yes—
184#2473C2214yescomplemented
185#2472C2214yes—
186#2468C2214yes—
187#2468C2212yes—
188#2468C2214yes—
189#2466C2214yes—
190#2466C2214yes—
191#2465C2214yes—
192#2465C2214yescomplemented
193#2459C2214yes—
194#2457C2212yes—
195#2454C2211yescharacteristic
196#2453C2212yescomplemented
197#2453C2212yescomplemented
198#2453C2212yescomplemented
199#2453C2212yescomplemented
200#2453C2212yescomplemented
201#2452C2212yes—
202#2452C2212yes—
203#2451C2212yescomplemented
204#2451C2212yescomplemented
205#2451C2214yescomplemented
206#2451C2212yescomplemented
207#2447C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2447C2211yescharacteristic
211#2447C2212yes—
212#2446C2212yescomplemented
213#2446C2214yescomplemented
214#2442C2211yescharacteristic
215#2442C2214yescomplemented
216#2442C2212yescomplemented
217#2440C2212yescomplemented
218#2439C2212yes—
219#2435C2212yes—
220#2435C2211yescharacteristic
221#2434C2212yescomplemented
222#2434C2212yescomplemented
223#2429C2212yes—
224#2429C2211yescharacteristic
225#2429C2212yescomplemented
226#2429C2214yescomplemented
227#2429C2211yescharacteristic, complemented
228#2427C2212yes—
229#2427C2211yescharacteristic
230#2421C2212yes—
231#2421C2212yes—
232#2421C2212yescomplemented
233#2421C2214yescomplemented
234#2420C2212yes—
235#2420C2211yescharacteristic
236#2418C2212yes—
237#2417C2211yescharacteristic
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2214yes—
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2411C2214yes—
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2211yescharacteristic
248#2396C2212yes—
249#2396C2212yescomplemented
250#2395C2212yes—
251#2395C2214yes—
252#2392C2212yes—
253#2370C2212yescomplemented
254#2369C2211yescharacteristic, complemented
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2365C2212yescomplemented
259#2362C2212yes—
260#2362C2212yes—
261#2362C2212yescomplemented
262#2362C2214yescomplemented
263#2362C2212yescomplemented
264#2360C2212yes—
265#2360C2212yescomplemented
266#2360C2214yescomplemented
267#2357C2212yes—
268#2355C2211yescharacteristic, complemented
269#2354C2211yescharacteristic
270#2352C2212yescomplemented
271#2351C2212yescomplemented
272#2344C2212yescomplemented
273Q8×C22⋊C4C2212yescomplemented
274Q8×C22⋊C4C2212yescomplemented
275#2332C2214yescomplemented
276#2324C2212yes—
277#2323C2212yes—
278#2323C2212yescomplemented
279#2317C2214yescomplemented
280#2310C2212yescomplemented
281#2310C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×C4⋊Q8C2212yescomplemented
285C4×#125C2212yescomplemented
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#120C2212yes—
293#2293C2212yes—
294#2293C2212yes—
295#2293C2211yescharacteristic
296#2280C2212yes—
297#2280C2212yes—
298#2274C2212yescomplemented
299C42×Q8C2211yescharacteristic, complemented
300C42×D4C2211yescharacteristic
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#563—232no—
306Q82—28no—
307#557—216no—
308#557—28no—
309#556—216no—
310#556—216no—
311#556—28no—
312#554—28no—
313#554—216no—
314#554—232no—
315#554—216no—
316#554—216no—
317#554D4116yescomplemented
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321D4×Q8—28no—
322#544—216no—
323#544—216no—
324#543—232no—
325#542—216no—
326#541—216no—
327#541—216no—
328#541—232no—
329#533—28no—
330#533—28no—
331#533—28no—
332#533—28no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351#529—28no—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×C22⋊Q8—216no—
381C2×C22⋊Q8—216no—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#120C2312yes—
422#518—216no—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4—28no—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2314yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2314yes—
470C22×C4⋊C4C2314yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2314yes—
474C22×C4⋊C4C2312yes—
475C22×C22⋊C4C2314yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2314yes—
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#399C2314yes—
499#399C2312yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2312yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#396C2312yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#395C2312yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2312yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2314yes—
574#393C2314yes—
575#393C2312yes—
576#393C2312yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#392C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#391C2314yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2314yes—
619#391C2311yescharacteristic
620#391C2314yes—
621#391C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
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#388C2312yes—
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#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#384C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2314yes—
756#382C2312yes—
757#382C2314yes—
758#382C2312yes—
759#382C2312yes—
760#382C2314yes—
761#382C2314yes—
762#382C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2312yes—
769#381C2312yes—
770#381C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#379C2312yes—
791#379C2312yes—
792#379C2314yes—
793#379C2314yes—
794#379C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C43C2312yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C22×Q8—28no—
847C22×Q8—28no—
848C22×Q8—44no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×D4—24no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C23×C4—28no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—216no—
894C4⋊Q8—24no—
895C4⋊Q8—24no—
896C4⋊Q8—28no—
897C4⋊Q8—216no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—44no—
906C4⋊Q8—44no—
907C4⋊Q8—42no—
908C4⋊Q8C2×D418yes—
909#126—216no—
910#126—216no—
911#126—28no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—24no—
917#125—28no—
918#125—28no—
919#125—28no—
920#125—28no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—28no—
927#125—28no—
928#125—216no—
929#125C2×D4116yes—
930#124—24no—
931#124—28no—
932#124—24no—
933#124—28no—
934#124—216no—
935#123—216no—
936#123—28no—
937C22⋊Q8—24no—
938C22⋊Q8—28no—
939C22⋊Q8—24no—
940C22⋊Q8—28no—
941C22⋊Q8—216no—
942C22⋊Q8—28no—
943C22⋊Q8—216no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—28no—
948C22⋊Q8—24no—
949C22⋊Q8—28no—
950C22⋊Q8—24no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—24no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—48no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8C2×D4116yes—
973C22⋊Q8C2×D4132yes—
974#121—24no—
975#121—24no—
976#120—44no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—216no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—24no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—24no—
991C4×Q8—28no—
992C4×Q8—44no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8C2×D418yes—
996C4×D4—24no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—216no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—42no—
1009C4×D4—44no—
1010C4×D4—42no—
1011C4×D4C2×D418yes—
1012C4×D4C2×D4116yes—
1013#117—28no—
1014#117—216no—
1015#117—28no—
1016#117—28no—
1017#117—28no—
1018#117—28no—
1019#117—28no—
1020#117—44no—
1021#117—48no—
1022#117—44no—
1023C2×C4⋊C4—216no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—216no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4C2×D4116yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C22⋊C4—216no—
1108C2×C22⋊C4—28no—
1109C2×C22⋊C4—216no—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42C2414yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2414yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2412yes—
1201#95C2412yes—
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262C24—24no—
1263C24—24no—
1264C24—24no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24C2511yescharacteristic
1270C24C2512yes—
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—28no—
1281C2×Q8—28no—
1282C2×Q8—28no—
1283C2×Q8—24no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—42no—
1296C2×Q8—42no—
1297C2×Q8—44no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—44no—
1307C2×Q8—816no—
1308C2×Q8—816no—
1309C2×Q8C22×D414yes—
1310C2×Q8C22×D418yes—
1311C2×D4—232no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—41no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4C22×D414yes—
1329C2×D42−1+414yes—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—816no—
1373C22×C4C22×D418yes—
1374C22×C4C22×D4116yes—
1375C22×C42−1+414yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—22no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—41no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4C22×D418yes—
1480C4⋊C4C22×D414yes—
1481C4⋊C4C22×D4116yes—
1482C4⋊C4C22×D414yes—
1483C4⋊C4C22×D4116yes—
1484C4⋊C4C22×D418yes—
1485C4⋊C4C22×D418yes—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4C22×D418yes—
1537C22⋊C4C22×D4116yes—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—28no—
1545C42—28no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—28no—
1550C42—28no—
1551C42—28no—
1552C42—22no—
1553C42—22no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—42no—
1561C42—44no—
1562C42—41no—
1563C42—44no—
1564C42—44no—
1565C42—42no—
1566C42—44no—
1567C42—42no—
1568C42C22×D414yes—
1569C42C22×D418yes—
1570C23—216no—
1571C23—21no—
1572C23—22no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—84no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23C23×D414yes—
1603C23C2×2−1+412yes—
1604C23C2×2−1+414yes—
1605C23C2611yescharacteristic
1606Q8—28no—
1607Q8—48no—
1608Q8—48no—
1609Q8—44no—
1610Q8—44no—
1611Q8—44no—
1612Q8—48no—
1613Q8—84no—
1614Q8—84no—
1615Q8—88no—
1616Q8—88no—
1617Q8—88no—
1618D4—216no—
1619D4—28no—
1620D4—28no—
1621D4—44no—
1622D4—84no—
1623D4—84no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—28no—
1639C2×C4—216no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—416no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—48no—
1711C2×C4—88no—
1712C2×C4—82no—
1713C2×C4—82no—
1714C2×C4—84no—
1715C2×C4—84no—
1716C2×C4—88no—
1717C2×C4—84no—
1718C2×C4—88no—
1719C2×C4C23×D418yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D414yes—
1722C2×C4C23×D414yes—
1723C2×C4C23×D414yes—
1724C2×C4C23×D412yes—
1725C2×C4C23×D412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C2×C4#58512yes—
1732C22—24no—
1733C22—24no—
1734C22—22no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—22no—
1739C22—22no—
1740C22—24no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—816no—
1761C22C24×D411yescharacteristic
1762C22C22×2−1+411yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C222−1+611yescharacteristic
1768C4—24no—
1769C4—28no—
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—24no—
1774C4—22no—
1775C4—42no—
1776C4—41no—
1777C4—41no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—41no—
1784C4—44no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4—42no—
1789C4—44no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4—41no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4#348614yes—
1798C4#350014yes—
1799C2—44no—
1800C2—44no—
1801C2—42no—
1802C2—81no—
1803C2C2×#348611yescharacteristic
1804C2C2×#350011yescharacteristic
1805C2#6283111yescharacteristic
1806C2#6293211yescharacteristic
1807C2#6295011yescharacteristic
1808C2#6298811yescharacteristic
1809C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
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×#3501C2semidirect
2. C2×#3555C2semidirect
3. #59833C2semidirect
4. #59655C2semidirect
5. #59081C2semidirect
6. #59079C2semidirect
7. #59025C2semidirect
8. #48827C2semidirect
9. #47855C2semidirect
10. #46815C2semidirect
11. #45322C2semidirect
12. #45291C2semidirect
13. #45274C2semidirect
14. #45195C2semidirect
15. #45177C2semidirect
16. #42647C2semidirect
17. #42436C2semidirect
18. #39724C2semidirect
19. #39596C2semidirect
20. #39490C2semidirect
21. #39427C2semidirect
22. #38954C2semidirect
23. #38917C2semidirect
24. #38911C2semidirect
25. #37663C2semidirect
26. #36446C2semidirect
27. #36161C2semidirect
28. #36151C2semidirect
29. #36033C2semidirect
30. #35773C2semidirect
31. #35644C2semidirect
33. #34929C2semidirect
35. #34317C2semidirect
37. C2×#563C22semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
44. C2×#556C22semidirect
51. C2×#552C22semidirect
56. C2×#544C22semidirect
59. C2×#541C22semidirect
60. C2×#541C22semidirect
61. C2×#541C22semidirect
64. C2×#533C22semidirect
65. C2×#533C22semidirect
71. #2862C22semidirect
72. #2862C22semidirect
74. #2857C22semidirect
76. #2817C22semidirect
78. #2729C22semidirect
79. #2728C22semidirect
81. #2723C22semidirect
83. #2720C22semidirect
84. #2720C22semidirect
85. #2719C22semidirect
86. #2719C22semidirect
87. #2716C22semidirect
88. #2713C22semidirect
89. #2713C22semidirect
91. #2702C22semidirect
92. #2700C22semidirect
93. #2700C22semidirect
94. #2698C22semidirect
95. #2698C22semidirect
96. #2698C22semidirect
97. #2698C22semidirect
98. #2692C22semidirect
101. #2690C22semidirect
102. #2690C22semidirect
103. #2689C22semidirect
104. #2689C22semidirect
105. #2689C22semidirect
106. #2689C22semidirect
107. #2689C22semidirect
108. #2687C22semidirect
109. #2677C22semidirect
110. #2663C22semidirect
112. #2628C22semidirect
113. #2625C22semidirect
114. #2623C22semidirect
116. #2621C22semidirect
117. #2621C22semidirect
119. #2582C22semidirect
120. #2581C22semidirect
122. #2568C22semidirect
123. #2568C22semidirect
124. #2568C22semidirect
125. #2568C22semidirect
126. #2567C22semidirect
130. #2560C22semidirect
132. #2556C22semidirect
133. #2556C22semidirect
134. #2556C22semidirect
135. #2551C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
138. #2550C22semidirect
139. #2550C22semidirect
140. #2550C22semidirect
143. #2546C22semidirect
144. #2546C22semidirect
146. #2542C22semidirect
150. #2519C22semidirect
151. #2506C22semidirect
152. #2506C22semidirect
153. #2503C22semidirect
154. #2503C22semidirect
155. #2499C22semidirect
156. #2499C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
173. #2489C22semidirect
174. #2489C22semidirect
175. #2489C22semidirect
178. #2481C22semidirect
184. #2473C22semidirect
192. #2465C22semidirect
196. #2453C22semidirect
197. #2453C22semidirect
198. #2453C22semidirect
199. #2453C22semidirect
200. #2453C22semidirect
203. #2451C22semidirect
204. #2451C22semidirect
205. #2451C22semidirect
206. #2451C22semidirect
212. #2446C22semidirect
213. #2446C22semidirect
215. #2442C22semidirect
216. #2442C22semidirect
217. #2440C22semidirect
221. #2434C22semidirect
222. #2434C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
232. #2421C22semidirect
233. #2421C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
249. #2396C22semidirect
253. #2370C22semidirect
254. #2369C22semidirect
258. #2365C22semidirect
261. #2362C22semidirect
262. #2362C22semidirect
263. #2362C22semidirect
265. #2360C22semidirect
266. #2360C22semidirect
268. #2355C22semidirect
270. #2352C22semidirect
271. #2351C22semidirect
272. #2344C22semidirect
273. Q8×C22⋊C4C22semidirect
274. Q8×C22⋊C4C22semidirect
275. #2332C22semidirect
278. #2323C22semidirect
279. #2317C22semidirect
280. #2310C22semidirect
281. #2310C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#125C22semidirect
290. C4×C22⋊Q8C22semidirect
298. #2274C22semidirect
299. C42×Q8C22semidirect
317. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
C2×#35552
#598332
#596552
#590812
#590792
#590252
#488272
#478552
#468152
#453222
#452912
#452742
#451952
#451772
#426472
#424362
#397242
#395962
#394902
#394272
#389542
#389172
#389112
#376632
#364462
#361612
#361512
#360332
#357732
#356442
#356112
#349292
#347002
#343172