Finite Group Databasebeta

← #7987091

Subgroups — #7987091

Order 512.

6859 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59135C211yesmaximal, characteristic, complemented
5#59054C212yesmaximal, complemented
6#59052C211yesmaximal, characteristic, complemented
7#59019C212yesmaximal, complemented
8#51583C214yesmaximal, complemented
9#51524C214yesmaximal, complemented
10#45767C214yesmaximal, complemented
11#45432C212yesmaximal, complemented
12#45264C212yesmaximal, complemented
13#45239C212yesmaximal, complemented
14#45157C212yesmaximal, complemented
15#42478C212yesmaximal, complemented
16#42476C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#42437C212yesmaximal, complemented
19#39491C211yesmaximal, characteristic, complemented
20#39172C211yesmaximal, characteristic, complemented
21#39136C211yesmaximal, characteristic, complemented
22#38920C211yesmaximal, characteristic, complemented
23#37787C214yesmaximal, complemented
24#37758C212yesmaximal, complemented
25#37669C212yesmaximal, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36426C212yesmaximal, complemented
28#36404C212yesmaximal, complemented
29#36160C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35155C212yesmaximal, complemented
32#35151C212yesmaximal, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39#3475—216no—
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2214yes—
51C2×#547C2211yescharacteristic
52C2×#547C2212yes—
53C2×#547C2212yescomplemented
54C2×#546C2212yes—
55C2×#544C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#542C2212yes—
58C2×#542C2212yescomplemented
59C2×#536C2214yescomplemented
60C2×#533C2211yescharacteristic
61C22×C4⋊Q8C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2214yes—
65C2×#529C2211yescharacteristic, complemented
66C2×#525C2212yes—
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×#117C2212yes—
71#2862C2211yescharacteristic, complemented
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic, complemented
74#2857C2212yescomplemented
75#2855C2214yescomplemented
76#2855C2214yescomplemented
77#2853C2214yescomplemented
78#2847C2212yes—
79#2816C2214yes—
80#2813C2214yes—
81#2732C2214yes—
82#2731C2214yescomplemented
83#2730C2214yescomplemented
84#2727C2214yescomplemented
85#2725C2214yescomplemented
86#2723C2214yescomplemented
87#2721C2214yescomplemented
88#2721C2214yescomplemented
89#2719C2214yescomplemented
90#2718C2214yes—
91#2718C2214yescomplemented
92#2716C2214yescomplemented
93#2716C2214yescomplemented
94#2716C2214yescomplemented
95#2710C2214yes—
96#2710C2214yescomplemented
97#2710C2214yescomplemented
98#2706C2214yes—
99#2706C2214yes—
100#2706C2214yescomplemented
101#2705C2214yes—
102#2705C2214yescomplemented
103#2705C2214yescomplemented
104#2702C2214yescomplemented
105#2696C2214yes—
106#2694C2214yescomplemented
107#2685C2214yes—
108#2682C2214yescomplemented
109#2681C2214yescomplemented
110#2678C2214yes—
111#2678C2214yes—
112#2674C2214yescomplemented
113#2670C2214yes—
114#2640C2212yes—
115#2638C2214yescomplemented
116#2630C2214yescomplemented
117#2626C2214yes—
118#2626C2214yes—
119#2624C2212yescomplemented
120#2620C2212yes—
121#2620C2214yes—
122#2619C2212yescomplemented
123#2615C2214yes—
124#2568C2212yescomplemented
125#2563C2211yescharacteristic
126#2563C2212yes—
127#2563C2211yescharacteristic, complemented
128#2558C2214yes—
129#2552C2212yescomplemented
130#2550C2212yescomplemented
131#2546C2211yescharacteristic, complemented
132#2545C2212yes—
133#2542C2212yes—
134#2542C2212yescomplemented
135#2542C2211yescharacteristic, complemented
136#2540C2212yes—
137#2540C2212yes—
138#2538C2212yes—
139#2538C2211yescharacteristic, complemented
140#2538C2212yescomplemented
141#2538C2212yescomplemented
142#2537C2211yescharacteristic
143#2512C2214yescomplemented
144#2504C2212yescomplemented
145#2500C2212yescomplemented
146#2492C2212yes—
147#2491C2212yes—
148#2491C2212yescomplemented
149#2490C2212yescomplemented
150#2489C2212yescomplemented
151#2489C2214yescomplemented
152#2487C2212yescomplemented
153#2485C2212yes—
154#2480C2212yes—
155#2479C2214yescomplemented
156#2479C2212yescomplemented
157#2478C2214yescomplemented
158#2477C2214yes—
159#2477C2214yescomplemented
160#2474C2214yescomplemented
161#2472C2214yes—
162#2471C2214yes—
163#2471C2214yes—
164#2471C2214yescomplemented
165#2471C2212yescomplemented
166#2470C2214yescomplemented
167#2470C2214yescomplemented
168#2468C2212yes—
169#2467C2212yes—
170#2467C2214yescomplemented
171#2466C2214yescomplemented
172#2460C2214yescomplemented
173#2459C2214yes—
174#2459C2214yescomplemented
175#2457C2212yes—
176#2457C2214yescomplemented
177#2457C2214yescomplemented
178#2456C2212yes—
179#2454C2211yescharacteristic
180#2454C2211yescharacteristic, complemented
181#2454C2212yescomplemented
182#2452C2214yes—
183#2452C2212yescomplemented
184#2451C2212yescomplemented
185#2448C2211yescharacteristic, complemented
186#2447C2211yescharacteristic
187#2446C2212yescomplemented
188#2442C2211yescharacteristic
189#2442C2212yescomplemented
190#2441C2211yescharacteristic
191#2441C2214yes—
192#2441C2212yes—
193#2441C2212yescomplemented
194#2441C2214yescomplemented
195#2441C2212yescomplemented
196#2441C2214yescomplemented
197#2439C2212yes—
198#2439C2214yes—
199#2439C2212yes—
200#2439C2212yescomplemented
201#2439C2212yescomplemented
202#2439C2214yescomplemented
203#2439C2212yescomplemented
204#2439C2212yescomplemented
205#2439C2214yescomplemented
206#2436C2214yescomplemented
207#2435C2211yescharacteristic
208#2432C2212yes—
209#2431C2211yescharacteristic
210#2429C2212yes—
211#2429C2212yescomplemented
212#2428C2212yescomplemented
213#2428C2211yescharacteristic, complemented
214#2427C2211yescharacteristic
215#2427C2214yescomplemented
216#2426C2214yescomplemented
217#2426C2212yescomplemented
218#2423C2214yescomplemented
219#2423C2211yescharacteristic, complemented
220#2421C2212yescomplemented
221#2421C2212yescomplemented
222#2420C2211yescharacteristic
223#2420C2212yes—
224#2418C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227#2417C2211yescharacteristic
228#2416C2212yes—
229#2416C2212yes—
230#2416C2212yescomplemented
231#2415C2212yescomplemented
232#2415C2214yescomplemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2414C2212yes—
236#2414C2211yescharacteristic
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2411C2214yes—
240#2409C2212yes—
241#2408C2212yes—
242#2408C2211yescharacteristic
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2407C2214yescomplemented
248#2404C2214yes—
249#2397C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2378C2214yescomplemented
254#2370C2212yescomplemented
255#2369C2211yescharacteristic, complemented
256#2363C2212yes—
257#2363C2212yes—
258#2363C2212yescomplemented
259#2363C2214yescomplemented
260#2362C2212yescomplemented
261#2360C2212yescomplemented
262#2360C2212yescomplemented
263#2354C2211yescharacteristic
264#2354C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267#2352C2212yescomplemented
268#2352C2212yescomplemented
269#2352C2212yescomplemented
270#2351C2212yescomplemented
271Q8×C4⋊C4C2211yescharacteristic, complemented
272#2344C2212yescomplemented
273#2341C2212yes—
274Q8×C22⋊C4C2212yescomplemented
275#2330C2212yescomplemented
276#2327C2212yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2323C2214yescomplemented
280#2319C2212yes—
281#2317C2212yescomplemented
282#2317C2212yescomplemented
283#2316C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#127C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2212yescomplemented
293C4×#120C2212yes—
294#2297C2214yescomplemented
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic
297#2290C2212yescomplemented
298#2280C2212yes—
299#2280C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#563—232no—
308Q82—28no—
309#556—28no—
310#555—28no—
311#555—28no—
312#554—28no—
313#554D4116yescomplemented
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320#547—28no—
321#547—216no—
322#547—216no—
323#546—216no—
324#544—216no—
325#544—216no—
326#542—216no—
327#542—216no—
328#536—232no—
329#533—28no—
330C2×C4⋊Q8—28no—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343#529—216no—
344#529—232no—
345#529—28no—
346#529—28no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2311yescharacteristic
355C2×#125C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370#525—216no—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2311yescharacteristic
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#120C2314yes—
419C2×#120C2312yes—
420C2×#120C2314yes—
421C4×#41—28no—
422C4×#41—216no—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×D4—28no—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×#117—216no—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2314yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2314yes—
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2314yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2312yes—
486C22×C42C2314yes—
487C22×C42C2311yescharacteristic
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490#400C2314yes—
491#400C2314yes—
492#400C2312yes—
493#400C2314yes—
494#400C2314yes—
495#399C2312yes—
496#399C2314yes—
497#399C2314yes—
498#399C2312yes—
499#399C2314yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2314yes—
515#397C2314yes—
516#397C2312yes—
517#397C2312yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2312yes—
523#397C2312yes—
524#397C2312yes—
525#397C2314yes—
526#397C2314yes—
527#396C2314yes—
528#396C2312yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2312yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#395C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#392C2312yes—
581#392C2312yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2312yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#391C2312yes—
593#391C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2314yes—
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2314yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2314yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#387C2312yes—
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#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2314yes—
764#384C2312yes—
765#384C2312yes—
766#384C2314yes—
767#382C2312yes—
768#382C2314yes—
769#382C2312yes—
770#382C2311yescharacteristic
771#382C2312yes—
772#382C2314yes—
773#382C2312yes—
774#381C2314yes—
775#381C2312yes—
776#381C2314yes—
777#381C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#379C2312yes—
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C2×#41—24no—
847C2×#41—28no—
848C2×#41—216no—
849C2×#41—24no—
850C2×#41—48no—
851C2×#41—42no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—84no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—82no—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×D4—24no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C23×C4—28no—
887C23×C4—28no—
888C23×C4—44no—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—216no—
912C4⋊Q8—216no—
913C4⋊Q8—28no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—44no—
918C4⋊Q8C2×D418yes—
919#127—42no—
920#126—216no—
921#126—216no—
922#126—216no—
923#126—28no—
924#126—216no—
925#126—28no—
926#126—216no—
927#125—24no—
928#125—24no—
929#125—216no—
930#125—28no—
931#125—28no—
932#125—216no—
933#125—216no—
934#125C2×D4116yes—
935#124—24no—
936#124—216no—
937#124—24no—
938#124—216no—
939#124—216no—
940#124—28no—
941#124—42no—
942#124—84no—
943#123—216no—
944#123—216no—
945#123—28no—
946#123—216no—
947#123—216no—
948#123—28no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953C22⋊Q8—28no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—216no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—42no—
970C22⋊Q8—82no—
971C22⋊Q8—84no—
972C22⋊Q8C2×D4116yes—
973C22⋊Q8C2×D4132yes—
974#121—24no—
975#121—28no—
976#121—28no—
977#121—216no—
978#121—28no—
979#121—24no—
980#121—28no—
981#121—28no—
982#121—24no—
983#121—44no—
984#121—42no—
985#121—44no—
986#121—42no—
987#121—44no—
988#121—48no—
989#121—84no—
990#120—216no—
991#120—44no—
992#120—84no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—44no—
1001C4×Q8—82no—
1002C4×Q8C2×D418yes—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—216no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—28no—
1010C4×D4—24no—
1011C4×D4—216no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—42no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—42no—
1027C4×D4C2×D418yes—
1028C4×D4C2×D4116yes—
1029#117—28no—
1030#117—28no—
1031#117—24no—
1032#117—28no—
1033#117—216no—
1034#117—216no—
1035#117—28no—
1036#117—28no—
1037#117—28no—
1038#117—28no—
1039#117—216no—
1040#117—28no—
1041#117—216no—
1042#117—28no—
1043#117—44no—
1044#117—44no—
1045#117—84no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—24no—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4C2×D4116yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C22⋊C4—216no—
1119C2×C22⋊C4—28no—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C42—216no—
1193C2×C42—24no—
1194C2×C42—28no—
1195C2×C42—24no—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2414yes—
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276C24—24no—
1277C24—24no—
1278C24—42no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24—42no—
1283C24C2512yes—
1284C24C2512yes—
1285C24C2512yes—
1286C24C2512yes—
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289#41—416no—
1290#41—432no—
1291#41—832no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—28no—
1295C2×Q8—28no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8—42no—
1309C2×Q8—44no—
1310C2×Q8—44no—
1311C2×Q8—816no—
1312C2×Q8C22×D414yes—
1313C2×Q8C22×D418yes—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—28no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—41no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—416no—
1368C2×D4C22×D414yes—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—28no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—28no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—41no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—432no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—41no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4C22×D418yes—
1425C22×C4C22×D4116yes—
1426C22×C42−1+414yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2514yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—22no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—41no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—41no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D418yes—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D4116yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D4116yes—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4C22×D418yes—
1593C22⋊C4C22×D4116yes—
1594C42—24no—
1595C42—22no—
1596C42—28no—
1597C42—28no—
1598C42—22no—
1599C42—24no—
1600C42—28no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—28no—
1606C42—24no—
1607C42—28no—
1608C42—22no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—24no—
1614C42—44no—
1615C42—44no—
1616C42—44no—
1617C42—41no—
1618C42—44no—
1619C42—41no—
1620C42C22×D414yes—
1621C42C22×D418yes—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—48no—
1662C23—48no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23C23×D414yes—
1669C23C2×2−1+412yes—
1670C23#58512yes—
1671C23C2611yescharacteristic
1672Q8—28no—
1673Q8—48no—
1674Q8—44no—
1675Q8—48no—
1676Q8—88no—
1677Q8—84no—
1678Q8—88no—
1679D4—28no—
1680D4—48no—
1681D4—48no—
1682D4—44no—
1683D4—48no—
1684D4—48no—
1685D4—416no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—88no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—88no—
1694D4—84no—
1695D4—84no—
1696D4—164no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—28no—
1710C2×C4—216no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—416no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—416no—
1781C2×C4—416no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—44no—
1787C2×C4—48no—
1788C2×C4—84no—
1789C2×C4—82no—
1790C2×C4—88no—
1791C2×C4C23×D414yes—
1792C2×C4C23×D414yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D418yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4C2×2−1+412yes—
1800C2×C4#58512yes—
1801C2×C4#58512yes—
1802C2×C4#58512yes—
1803C22—22no—
1804C22—24no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—24no—
1809C22—22no—
1810C22—24no—
1811C22—22no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—816no—
1846C22C24×D411yescharacteristic
1847C22C22×2−1+411yescharacteristic
1848C22C2×#58511yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22C2×#58511yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22H(7,𝔽2)11yescharacteristic
1853C4—24no—
1854C4—28no—
1855C4—22no—
1856C4—22no—
1857C4—24no—
1858C4—24no—
1859C4—44no—
1860C4—41no—
1861C4—41no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—41no—
1871C4—44no—
1872C4—42no—
1873C4—41no—
1874C4—42no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—44no—
1880C4#348714yes—
1881C4#348914yes—
1882C2—42no—
1883C2—44no—
1884C2—42no—
1885C2—82no—
1886C2—82no—
1887C2—82no—
1888C2#6275211yescharacteristic
1889C2C2×#348711yescharacteristic
1890C2C2×#348911yescharacteristic
1891C2#6292911yescharacteristic
1892C2#6293711yescharacteristic
1893C2#6298711yescharacteristic
1894C2#6302811yescharacteristic
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×#3544C2semidirect
2. C2×#3475C2semidirect
3. #59652C2semidirect
4. #59135C2semidirect
5. #59054C2semidirect
6. #59052C2semidirect
7. #59019C2semidirect
8. #51583C2semidirect
9. #51524C2semidirect
10. #45767C2semidirect
11. #45432C2semidirect
12. #45264C2semidirect
13. #45239C2semidirect
14. #45157C2semidirect
15. #42478C2semidirect
16. #42476C2semidirect
17. #42443C2semidirect
18. #42437C2semidirect
19. #39491C2semidirect
20. #39172C2semidirect
21. #39136C2semidirect
22. #38920C2semidirect
23. #37787C2semidirect
24. #37758C2semidirect
25. #37669C2semidirect
26. #36456C2semidirect
27. #36426C2semidirect
28. #36404C2semidirect
29. #36160C2semidirect
30. #36129C2semidirect
31. #35155C2semidirect
32. #35151C2semidirect
33. #34727C2semidirect
34. #34700C2semidirect
35. #34484C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
44. C2×#554C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
53. C2×#547C22semidirect
55. C2×#544C22semidirect
56. C2×#544C22semidirect
58. C2×#542C22semidirect
59. C2×#536C22semidirect
61. C22×C4⋊Q8C22semidirect
65. C2×#529C22semidirect
71. #2862C22semidirect
73. #2857C22semidirect
74. #2857C22semidirect
75. #2855C22semidirect
76. #2855C22semidirect
77. #2853C22semidirect
82. #2731C22semidirect
83. #2730C22semidirect
84. #2727C22semidirect
85. #2725C22semidirect
86. #2723C22semidirect
87. #2721C22semidirect
88. #2721C22semidirect
89. #2719C22semidirect
91. #2718C22semidirect
92. #2716C22semidirect
93. #2716C22semidirect
94. #2716C22semidirect
96. #2710C22semidirect
97. #2710C22semidirect
100. #2706C22semidirect
102. #2705C22semidirect
103. #2705C22semidirect
104. #2702C22semidirect
106. #2694C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
112. #2674C22semidirect
115. #2638C22semidirect
116. #2630C22semidirect
119. #2624C22semidirect
122. #2619C22semidirect
124. #2568C22semidirect
127. #2563C22semidirect
129. #2552C22semidirect
130. #2550C22semidirect
131. #2546C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
143. #2512C22semidirect
144. #2504C22semidirect
145. #2500C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2489C22semidirect
151. #2489C22semidirect
152. #2487C22semidirect
155. #2479C22semidirect
156. #2479C22semidirect
157. #2478C22semidirect
159. #2477C22semidirect
160. #2474C22semidirect
164. #2471C22semidirect
165. #2471C22semidirect
166. #2470C22semidirect
167. #2470C22semidirect
170. #2467C22semidirect
171. #2466C22semidirect
172. #2460C22semidirect
174. #2459C22semidirect
176. #2457C22semidirect
177. #2457C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
185. #2448C22semidirect
187. #2446C22semidirect
189. #2442C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
205. #2439C22semidirect
206. #2436C22semidirect
211. #2429C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2423C22semidirect
219. #2423C22semidirect
220. #2421C22semidirect
221. #2421C22semidirect
230. #2416C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
247. #2407C22semidirect
253. #2378C22semidirect
254. #2370C22semidirect
255. #2369C22semidirect
258. #2363C22semidirect
259. #2363C22semidirect
260. #2362C22semidirect
261. #2360C22semidirect
262. #2360C22semidirect
267. #2352C22semidirect
268. #2352C22semidirect
269. #2352C22semidirect
270. #2351C22semidirect
271. Q8×C4⋊C4C22semidirect
272. #2344C22semidirect
274. Q8×C22⋊C4C22semidirect
275. #2330C22semidirect
276. #2327C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
279. #2323C22semidirect
281. #2317C22semidirect
282. #2317C22semidirect
283. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#127C22semidirect
288. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
294. #2297C22semidirect
295. #2295C22semidirect
297. #2290C22semidirect
313. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C2×#34752
#596522
#591352
#590542
#590522
#590192
#515832
#515242
#457672
#454322
#452642
#452392
#451572
#424782
#424762
#424432
#424372
#394912
#391722
#391362
#389202
#377872
#377582
#376692
#364562
#364262
#364042
#361602
#361292
#351552
#351512
#347272
#347002
#344842