Finite Group Databasebeta

← #7690094

Subgroups — #7690094

Order 512.

6930 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59415C212yesmaximal, complemented
4#59413C211yesmaximal, characteristic, complemented
5#59165C214yesmaximal, complemented
6#59096C212yesmaximal, complemented
7#59071C211yesmaximal, characteristic, complemented
8#59069C212yesmaximal, complemented
9#59043C212yesmaximal, complemented
10#59042C211yesmaximal, characteristic, complemented
11#45332C212yesmaximal, complemented
12#45175C212yesmaximal, complemented
13#44849C214yesmaximal, complemented
14#44709C214yesmaximal, complemented
15#39955C212yesmaximal, complemented
16#39878C212yesmaximal, complemented
17#39360C211yesmaximal, characteristic, complemented
18#38908C211yesmaximal, characteristic, complemented
19#37807C214yesmaximal, complemented
20#37793C212yesmaximal, complemented
21#36560C211yesmaximal, characteristic, complemented
22#36545C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36435C212yesmaximal, complemented
25#36274C211yesmaximal, characteristic, complemented
26#36230C212yesmaximal, complemented
27#36135C212yesmaximal, complemented
28#36134C211yesmaximal, characteristic, complemented
29#36007C212yesmaximal, complemented
30#35834C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32#34691C212yesmaximal, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34268C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3482—216no—
38C2×#557C2212yes—
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#556C2211yescharacteristic
45C2×#552C2212yes—
46C2×#552C2214yes—
47C2×#552C2214yes—
48C2×#552C2212yes—
49C2×D4×Q8C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic
56C2×#541C2214yes—
57C2×#541C2212yes—
58C2×#536C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#529C2214yes—
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#519C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2212yes—
70C2×C4×#41C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2212yes—
73#2868C2211yescharacteristic
74#2859C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic
77#2855C2212yes—
78#2851C2212yes—
79#2851C2212yes—
80#2851C2214yes—
81#2726C2214yes—
82#2719C2214yes—
83#2719C2214yes—
84#2713C2214yes—
85#2707C2214yes—
86#2704C2214yes—
87#2704C2214yes—
88#2698C2214yes—
89#2695C2214yes—
90#2695C2214yes—
91#2694C2214yes—
92#2693C2214yes—
93#2691C2214yes—
94#2690C2214yes—
95#2689C2214yes—
96#2681C2214yes—
97#2680C2214yes—
98#2680C2214yes—
99#2680C2214yes—
100#2674C2214yes—
101#2672C2214yes—
102#2664C2214yes—
103#2637C2214yes—
104#2625C2212yes—
105#2621C2212yes—
106#2611C2214yes—
107#2609C2214yes—
108#2604C2214yes—
109#2601C2214yes—
110#2584C2212yes—
111#2582C2211yescharacteristic
112#2581C2212yes—
113#2581C2214yes—
114#2568C2211yescharacteristic
115#2568C2211yescharacteristic
116#2565C2214yes—
117#2565C2212yes—
118#2565C2212yes—
119#2562C2212yes—
120#2559C2214yes—
121#2557C2214yes—
122#2556C2214yes—
123#2553C2214yes—
124#2553C2214yes—
125#2552C2212yes—
126#2550C2212yes—
127#2549C2214yes—
128#2547C2211yescharacteristic
129#2546C2212yes—
130#2546C2212yes—
131#2546C2211yescharacteristic
132#2542C2212yes—
133#2538C2211yescharacteristic
134#2538C2212yes—
135#2536C2212yes—
136#2536C2212yes—
137#2535C2212yes—
138#2521C2214yes—
139#2506C2214yes—
140#2506C2214yes—
141#2496C2214yes—
142#2492C2212yes—
143#2489C2212yes—
144#2478C2214yes—
145#2478C2214yes—
146#2478C2214yes—
147#2478C2212yes—
148#2478C2214yes—
149#2477C2214yes—
150#2475C2214yes—
151#2475C2214yes—
152#2474C2214yes—
153#2474C2214yes—
154#2473C2214yes—
155#2473C2214yes—
156#2470C2212yes—
157#2468C2214yes—
158#2466C2214yes—
159#2466C2212yes—
160#2465C2214yes—
161#2464C2214yes—
162#2462C2214yes—
163#2462C2214yes—
164#2460C2214yes—
165#2457C2214yes—
166#2455C2214yes—
167#2455C2212yes—
168#2455C2214yes—
169#2454C2212yes—
170#2453C2214yes—
171#2453C2211yescharacteristic
172#2453C2212yes—
173#2451C2212yes—
174#2451C2212yes—
175#2451C2214yes—
176#2451C2212yes—
177#2450C2214yes—
178#2450C2214yes—
179#2449C2214yes—
180#2447C2211yescharacteristic
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2442C2212yes—
185#2442C2214yes—
186#2441C2211yescharacteristic
187#2441C2212yes—
188#2441C2212yes—
189#2440C2212yes—
190#2440C2214yes—
191#2440C2212yes—
192#2439C2212yes—
193#2438C2214yes—
194#2438C2214yes—
195#2434C2212yes—
196#2434C2212yes—
197#2434C2212yes—
198#2432C2212yes—
199#2432C2211yescharacteristic
200#2432C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2211yescharacteristic
207#2427C2212yes—
208#2427C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2422C2211yescharacteristic
214#2422C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2415C2211yescharacteristic
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2211yescharacteristic
225#2399C2214yes—
226#2396C2214yes—
227#2395C2212yes—
228#2392C2212yes—
229#2373C2214yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2367C2212yes—
235#2367C2212yes—
236#2365C2211yescharacteristic
237#2365C2212yes—
238#2365C2212yes—
239#2365C2212yes—
240#2365C2212yes—
241#2365C2212yes—
242#2362C2212yes—
243#2362C2211yescharacteristic
244#2362C2212yes—
245#2361C2212yes—
246#2361C2211yescharacteristic
247#2360C2212yes—
248#2360C2212yes—
249#2359C2214yes—
250#2359C2214yes—
251#2359C2214yes—
252#2359C2214yes—
253#2359C2214yes—
254#2355C2211yescharacteristic
255#2354C2212yes—
256#2352C2212yes—
257#2352C2211yescharacteristic
258#2351C2212yes—
259#2351C2212yes—
260#2351C2211yescharacteristic
261Q8×C4⋊C4C2212yes—
262#2349C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264#2346C2212yes—
265#2341C2211yescharacteristic
266Q8×C22⋊C4C2212yes—
267Q8×C22⋊C4C2212yes—
268Q8×C22⋊C4C2211yescharacteristic
269#2339C2212yes—
270#2334C2214yes—
271#2323C2212yes—
272#2323C2214yes—
273#2323C2214yes—
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2214yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2214yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#123C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2296C2212yes—
293#2295C2212yes—
294C2×#391C2212yes—
295#2293C2211yescharacteristic
296#2290C2214yes—
297#2274C2212yes—
298C42×Q8C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307#557—28no—
308#557—28no—
309#557—216no—
310#557—28no—
311#556—216no—
312#556—216no—
313#556D4116yescomplemented
314#552—232no—
315#552—232no—
316#552—216no—
317#552—216no—
318D4×Q8—28no—
319D4×Q8—216no—
320D4×Q8—28no—
321#548—216no—
322#548—28no—
323#547—216no—
324#547—28no—
325#541—232no—
326#541—216no—
327#536—216no—
328#533—28no—
329#533—28no—
330#533—216no—
331#533—216no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345#529—232no—
346#529—216no—
347#529—216no—
348#529—28no—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2314yes—
410C2×#121C2312yes—
411#519—216no—
412C4×#41—28no—
413C4×#41—28no—
414C4×#41—216no—
415C2×C4×Q8—216no—
416C2×C4×Q8—28no—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2314yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2314yes—
424C2×C4×Q8C2314yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2314yes—
469C2×#117C2312yes—
470C2×#117C2314yes—
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2314yes—
477C2×#117C2314yes—
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C42C2312yes—
487C22×C42C2314yes—
488C22×C42C2312yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2311yescharacteristic
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2312yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#399C2312yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#398C2312yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#392C2312yes—
569#392C2314yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2314yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2311yescharacteristic
598#391C2314yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2312yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2312yes—
756#384C2314yes—
757#384C2312yes—
758#384C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2314yes—
762#382C2314yes—
763#382C2312yes—
764#382C2311yescharacteristic
765#382C2312yes—
766#381C2314yes—
767#381C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842#376C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—42no—
855C2×#41—42no—
856C22×Q8—28no—
857C22×Q8—24no—
858C22×Q8—28no—
859C22×Q8—24no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—42no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—24no—
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—216no—
909C4⋊Q8—24no—
910C4⋊Q8—24no—
911C4⋊Q8—28no—
912C4⋊Q8—44no—
913C4⋊Q8C2×D418yes—
914#126—216no—
915#126—28no—
916#126—216no—
917#126—216no—
918#126—216no—
919#126—216no—
920#126C2×D4132yes—
921#125—216no—
922#125—24no—
923#125—216no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—28no—
931#125—28no—
932#125—28no—
933#125—216no—
934#124—24no—
935#124—28no—
936#124—216no—
937#124—28no—
938#124C2×D4116yes—
939#124#4118yescomplemented
940#123—216no—
941#123—216no—
942#123—216no—
943#123—28no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—28no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—42no—
970C22⋊Q8C2×D4116yes—
971#121—24no—
972#121—28no—
973#121—24no—
974#121—216no—
975#121—28no—
976C4×Q8—28no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—24no—
982C4×Q8—24no—
983C4×Q8—216no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—24no—
992C4×Q8—216no—
993C4×Q8—28no—
994C4×Q8—24no—
995C4×Q8—216no—
996C4×Q8—216no—
997C4×Q8—24no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—44no—
1001C4×Q8—44no—
1002C4×Q8—42no—
1003C4×Q8C2×D418yes—
1004C4×Q8C2×D4116yes—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—42no—
1025C4×D4C2×D418yes—
1026#117—28no—
1027#117—24no—
1028#117—28no—
1029#117—24no—
1030#117—28no—
1031#117—28no—
1032#117—28no—
1033#117—216no—
1034#117—216no—
1035#117—216no—
1036#117—216no—
1037#117—216no—
1038#117—28no—
1039#117C2×D4116yes—
1040C2×C4⋊C4—216no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—24no—
1044C2×C4⋊C4—44no—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C42—28no—
1173C2×C42—28no—
1174C2×C42—216no—
1175C2×C42—28no—
1176C2×C42—24no—
1177C2×C42—24no—
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2414yes—
1212C2×C42C2414yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2412yes—
1231#95C2412yes—
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2511yescharacteristic
1279C24C2512yes—
1280C24C2512yes—
1281C24C2511yescharacteristic
1282#41—432no—
1283#41—416no—
1284#41—416no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—28no—
1289C2×Q8—28no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—22no—
1294C2×Q8—28no—
1295C2×Q8—24no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—28no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—44no—
1309C2×Q8—42no—
1310C2×Q8—44no—
1311C2×Q8—432no—
1312C2×Q8—416no—
1313C2×Q8—432no—
1314C2×Q8C22×D418yes—
1315C2×Q8C22×D414yes—
1316C2×Q8C2×#4114yes—
1317C2×Q82−1+414yes—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4C22×D414yes—
1341C2×D4C2×#4114yes—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—28no—
1347C22×C4—24no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4C22×D418yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2514yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—22no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—41no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4C22×D414yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D418yes—
1503C4⋊C4C22×D4116yes—
1504C4⋊C4C22×D418yes—
1505C4⋊C4C22×D418yes—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—41no—
1542C22⋊C4—41no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4C22×D4116yes—
1549C22⋊C4C22×D418yes—
1550C22⋊C4C22×D4116yes—
1551C22⋊C4C2×#4118yes—
1552C22⋊C4C2×#4118yes—
1553C22⋊C42−1+414yes—
1554C42—24no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—28no—
1561C42—24no—
1562C42—22no—
1563C42—24no—
1564C42—24no—
1565C42—28no—
1566C42—24no—
1567C42—22no—
1568C42—24no—
1569C42—22no—
1570C42—28no—
1571C42—28no—
1572C42—28no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—22no—
1582C42—42no—
1583C42—41no—
1584C42—44no—
1585C42—44no—
1586C42—42no—
1587C42—44no—
1588C42C22×D414yes—
1589C42C22×D418yes—
1590C42C22×D4116yes—
1591C42C2×#4114yes—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23C23×D414yes—
1618C23C22×#4114yes—
1619C23C2×2−1+412yes—
1620C23C2611yescharacteristic
1621Q8—28no—
1622Q8—28no—
1623Q8—28no—
1624Q8—216no—
1625Q8—416no—
1626Q8—416no—
1627Q8—48no—
1628Q8—48no—
1629Q8—48no—
1630Q8—44no—
1631D4—28no—
1632D4—28no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—416no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—216no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—416no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—44no—
1723C2×C4—416no—
1724C2×C4—48no—
1725C2×C4—416no—
1726C2×C4—48no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—164no—
1733C2×C4C23×D414yes—
1734C2×C4C23×D418yes—
1735C2×C4C23×D414yes—
1736C2×C4C23×D412yes—
1737C2×C4C23×D414yes—
1738C2×C4C23×D412yes—
1739C2×C4C23×D412yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C22×#4114yes—
1743C2×C4C22×#4112yes—
1744C2×C4C2×2−1+412yes—
1745C2×C4C2×2−1+414yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4C2×2−1+412yes—
1748C2×C4#58512yes—
1749C2×C4#58512yes—
1750C22—22no—
1751C22—24no—
1752C22—24no—
1753C22—22no—
1754C22—24no—
1755C22—22no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22C24×D411yescharacteristic
1779C22C23×#4111yescharacteristic
1780C22C22×2−1+411yescharacteristic
1781C22C22×2−1+411yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C222−1+611yescharacteristic
1785C4—22no—
1786C4—24no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—24no—
1791C4—28no—
1792C4—22no—
1793C4—24no—
1794C4—24no—
1795C4—24no—
1796C4—41no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—44no—
1809C4—41no—
1810C4—44no—
1811C4—41no—
1812C4—44no—
1813C4—42no—
1814C4D4×#4114yes—
1815C4#348914yes—
1816C2—42no—
1817C2—44no—
1818C2—44no—
1819C2—81no—
1820C2C2×D4×#4111yescharacteristic
1821C2C2×#348911yescharacteristic
1822C2#6280511yescharacteristic
1823C2#6296811yescharacteristic
1824C2D4×2−1+411yescharacteristic
1825C2#6300111yescharacteristic
1826C2#6303211yescharacteristic
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×#3523C2semidirect
2. C2×#3482C2semidirect
3. #59415C2semidirect
4. #59413C2semidirect
5. #59165C2semidirect
6. #59096C2semidirect
7. #59071C2semidirect
8. #59069C2semidirect
9. #59043C2semidirect
10. #59042C2semidirect
11. #45332C2semidirect
12. #45175C2semidirect
13. #44849C2semidirect
14. #44709C2semidirect
15. #39955C2semidirect
16. #39878C2semidirect
17. #39360C2semidirect
18. #38908C2semidirect
19. #37807C2semidirect
20. #37793C2semidirect
21. #36560C2semidirect
22. #36545C2semidirect
23. #36505C2semidirect
24. #36435C2semidirect
25. #36274C2semidirect
26. #36230C2semidirect
27. #36135C2semidirect
28. #36134C2semidirect
29. #36007C2semidirect
30. #35834C2semidirect
31. #34724C2semidirect
32. #34691C2semidirect
33. #34322C2semidirect
34. #34268C2semidirect
35. C4×#548C2semidirect
313. #556D4semidirect
939. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34822
#594152
#594132
#591652
#590962
#590712
#590692
#590432
#590422
#453322
#451752
#448492
#447092
#399552
#398782
#393602
#389082
#378072
#377932
#365602
#365452
#365052
#364352
#362742
#362302
#361352
#361342
#360072
#358342
#347242
#346912
#343222
#342682
C4×#5482