Finite Group Databasebeta

← #7686274

Subgroups — #7686274

Order 512.

6837 conjugacy classes of subgroups.

The subgroup lattice has 1829 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59840C214yesmaximal, complemented
4#59829C212yesmaximal, complemented
5#59653C211yesmaximal, characteristic, complemented
6#59651C212yesmaximal, complemented
7#59072C212yesmaximal, complemented
8#59069C212yesmaximal, complemented
9#59067C211yesmaximal, characteristic, complemented
10#59055C211yesmaximal, characteristic, complemented
11#45321C212yesmaximal, complemented
12#45238C212yesmaximal, complemented
13#44773C214yesmaximal, complemented
14#44204C214yesmaximal, complemented
15#39859C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39442C214yesmaximal, complemented
18#39435C212yesmaximal, complemented
19#39343C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#36562C211yesmaximal, characteristic, complemented
22#36545C211yesmaximal, characteristic, complemented
23#36544C211yesmaximal, characteristic, complemented
24#36466C212yesmaximal, complemented
25#36276C211yesmaximal, characteristic, complemented
26#36272C212yesmaximal, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36135C212yesmaximal, complemented
29#35997C212yesmaximal, complemented
30#35686C212yesmaximal, complemented
31#34919C212yesmaximal, complemented
32#34889C211yesmaximal, characteristic
33#34276C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2211yescharacteristic
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#557C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2214yes—
45C2×#556C2212yes—
46C2×#556C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2211yescharacteristic
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×#552C2214yes—
53C2×D4×Q8C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2211yescharacteristic
56C2×#541C2212yes—
57C2×#541C2214yes—
58C2×#539C2214yes—
59C2×#536C2212yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#532C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#520C2212yes—
70C2×#519C2212yes—
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2862C2211yescharacteristic
74#2859C2214yes—
75#2859C2212yes—
76#2857C2211yescharacteristic
77#2857C2212yes—
78#2857C2211yescharacteristic
79#2851C2212yes—
80#2851C2212yes—
81#2725C2214yes—
82#2721C2214yes—
83#2721C2214yes—
84#2720C2214yes—
85#2719C2214yes—
86#2718C2214yes—
87#2718C2214yes—
88#2716C2214yes—
89#2715C2214yes—
90#2713C2214yes—
91#2698C2214yes—
92#2695C2214yes—
93#2694C2214yes—
94#2690C2214yes—
95#2680C2214yes—
96#2680C2214yes—
97#2677C2214yes—
98#2674C2214yes—
99#2674C2214yes—
100#2674C2214yes—
101#2672C2214yes—
102#2634C2214yes—
103#2633C2214yes—
104#2625C2212yes—
105#2616C2212yes—
106#2611C2214yes—
107#2611C2214yes—
108#2599C2214yes—
109#2599C2214yes—
110#2584C2214yes—
111#2584C2214yes—
112#2584C2212yes—
113#2584C2212yes—
114#2582C2211yescharacteristic
115#2581C2212yes—
116#2580C2212yes—
117#2567C2211yescharacteristic
118#2567C2211yescharacteristic
119#2566C2212yes—
120#2565C2212yes—
121#2560C2214yes—
122#2559C2212yes—
123#2558C2214yes—
124#2557C2212yes—
125#2556C2214yes—
126#2556C2214yes—
127#2553C2214yes—
128#2553C2214yes—
129#2553C2214yes—
130#2552C2212yes—
131#2552C2214yes—
132#2552C2212yes—
133#2551C2214yes—
134#2551C2212yes—
135#2550C2214yes—
136#2550C2214yes—
137#2550C2211yescharacteristic
138#2550C2212yes—
139#2550C2212yes—
140#2549C2214yes—
141#2549C2214yes—
142#2546C2211yescharacteristic
143#2545C2212yes—
144#2544C2211yescharacteristic
145#2542C2212yes—
146#2542C2211yescharacteristic
147#2540C2211yescharacteristic
148#2538C2211yescharacteristic
149#2536C2212yes—
150#2535C2211yescharacteristic
151#2521C2214yes—
152#2521C2212yes—
153#2519C2214yes—
154#2519C2214yes—
155#2502C2212yes—
156#2496C2214yes—
157#2492C2211yescharacteristic
158#2491C2212yes—
159#2490C2211yescharacteristic
160#2489C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2488C2214yes—
165#2486C2212yes—
166#2479C2214yes—
167#2478C2214yes—
168#2478C2214yes—
169#2478C2214yes—
170#2478C2214yes—
171#2473C2214yes—
172#2470C2214yes—
173#2470C2214yes—
174#2466C2214yes—
175#2466C2214yes—
176#2465C2214yes—
177#2464C2212yes—
178#2462C2214yes—
179#2462C2214yes—
180#2461C2214yes—
181#2461C2214yes—
182#2455C2214yes—
183#2455C2214yes—
184#2455C2214yes—
185#2453C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2449C2214yes—
189#2448C2212yes—
190#2448C2212yes—
191#2447C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2445C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2438C2214yes—
199#2434C2212yes—
200#2434C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2428C2211yescharacteristic
207#2427C2211yescharacteristic
208#2426C2212yes—
209#2425C2214yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2214yes—
216#2421C2212yes—
217#2421C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2409C2212yes—
224#2409C2212yes—
225#2396C2214yes—
226#2395C2212yes—
227#2392C2214yes—
228#2388C2212yes—
229#2373C2214yes—
230#2367C2212yes—
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2211yescharacteristic
234#2365C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2360C2212yes—
244#2360C2211yescharacteristic
245#2360C2212yes—
246#2360C2211yescharacteristic
247#2360C2212yes—
248#2360C2212yes—
249#2359C2214yes—
250#2359C2214yes—
251#2359C2214yes—
252#2359C2214yes—
253#2359C2214yes—
254#2356C2212yes—
255#2355C2211yescharacteristic
256#2354C2211yescharacteristic
257#2351C2212yes—
258#2351C2212yes—
259Q8×C4⋊C4C2211yescharacteristic
260Q8×C4⋊C4C2212yes—
261Q8×C4⋊C4C2212yes—
262#2349C2212yes—
263#2349C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2212yes—
267#2347C2212yes—
268Q8×C22⋊C4C2211yescharacteristic
269Q8×C22⋊C4C2211yescharacteristic
270#2327C2214yes—
271#2326C2214yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2214yes—
277C4×#126C2214yes—
278C4×#124C2211yescharacteristic
279C4×#124C2214yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2297C2212yes—
293C2×#391C2212yes—
294#2293C2214yes—
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305#559—216no—
306#557—28no—
307#557—216no—
308#557—216no—
309#557—28no—
310#556—28no—
311#556—232no—
312#556—216no—
313#556D4116yescomplemented
314#554—28no—
315#554—28no—
316#552—232no—
317#552—216no—
318#552—216no—
319#552—216no—
320D4×Q8—216no—
321D4×Q8—28no—
322D4×Q8—28no—
323#541—232no—
324#541—216no—
325#539—232no—
326#536—216no—
327#536—216no—
328#533—28no—
329#533—28no—
330#533—216no—
331#532—28no—
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×#127C2311yescharacteristic
346#529—216no—
347#529—216no—
348#529—216no—
349#529—28no—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419#520—216no—
420#519—216no—
421C2×C4×Q8—28no—
422C2×C4×Q8—28no—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2314yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2314yes—
475C2×#117C2314yes—
476C2×#117C2314yes—
477C2×#117C2314yes—
478C2×#117C2314yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C42C2312yes—
490C22×C42C2312yes—
491C22×C42C2311yescharacteristic
492C22×C42C2311yescharacteristic
493C22×C42C2312yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2312yes—
499#400C2314yes—
500#400C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2312yes—
507#399C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2312yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#391C2314yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
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#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#384C2314yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2314yes—
757#384C2314yes—
758#383C2314yes—
759#382C2312yes—
760#382C2314yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2312yes—
764#382C2314yes—
765#382C2314yes—
766#381C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841#376C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C43C2314yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C2×#41—28no—
848C2×#41—28no—
849C2×#41—44no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—28no—
853C22×Q8—24no—
854C22×Q8—28no—
855C22×Q8—24no—
856C22×Q8—44no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—24no—
899C4⋊Q8—24no—
900C4⋊Q8—28no—
901C4⋊Q8—216no—
902C4⋊Q8—216no—
903C4⋊Q8—216no—
904C4⋊Q8—28no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—44no—
908C4⋊Q8C2×D418yes—
909#127—24no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—28no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126C2×D4132yes—
918#125—28no—
919#125—24no—
920#125—216no—
921#125—28no—
922#125—28no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125—28no—
929#125—28no—
930#125—216no—
931#125—216no—
932#124—28no—
933#124—24no—
934#124—28no—
935#124—216no—
936#124—216no—
937#124—24no—
938#124C2×D4116yes—
939#123—216no—
940#123—216no—
941#123—216no—
942#123—28no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—48no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8C2×D4116yes—
972C22⋊Q8#4118yes—
973#121—24no—
974#121—24no—
975#121—24no—
976#121—24no—
977#121—28no—
978#121—44no—
979C4×Q8—24no—
980C4×Q8—24no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—216no—
1000C4×Q8—216no—
1001C4×Q8—216no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—42no—
1006C4×Q8C2×D418yes—
1007C4×Q8C2×D4116yes—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—44no—
1024C4×D4—42no—
1025C4×D4—48no—
1026C4×D4—44no—
1027C4×D4C2×D418yes—
1028#117—28no—
1029#117—28no—
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#117C2×D4116yes—
1039C2×C4⋊C4—28no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—24no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C42—28no—
1173C2×C42—28no—
1174C2×C42—24no—
1175C2×C42—24no—
1176C2×C42—44no—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2414yes—
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
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#95C2412yes—
1230#95C2412yes—
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2411yescharacteristic
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276C24C2512yes—
1277C24C2512yes—
1278C24C2511yescharacteristic
1279C24C2511yescharacteristic
1280#41—432no—
1281C2×Q8—22no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—24no—
1285C2×Q8—28no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—22no—
1295C2×Q8—28no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—44no—
1306C2×Q8—42no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—432no—
1312C2×Q8—416no—
1313C2×Q8—416no—
1314C2×Q8C22×D418yes—
1315C2×Q8C22×D414yes—
1316C2×Q8C2×#4114yes—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4C22×D414yes—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—28no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—44no—
1391C22×C4—41no—
1392C22×C4—44no—
1393C22×C4C22×D418yes—
1394C22×C4C2×#4114yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—41no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4C22×D414yes—
1498C4⋊C4C22×D418yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D418yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D4116yes—
1503C4⋊C4C2×#4114yes—
1504C4⋊C4C2×#4118yes—
1505C4⋊C42−1+414yes—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—28no—
1514C22⋊C4—22no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—41no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4C22×D4116yes—
1550C22⋊C4C22×D4116yes—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C2×#4118yes—
1553C42—24no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—24no—
1564C42—22no—
1565C42—28no—
1566C42—28no—
1567C42—28no—
1568C42—28no—
1569C42—28no—
1570C42—24no—
1571C42—28no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—28no—
1576C42—24no—
1577C42—28no—
1578C42—22no—
1579C42—24no—
1580C42—42no—
1581C42—42no—
1582C42—42no—
1583C42—41no—
1584C42—42no—
1585C42—41no—
1586C42—44no—
1587C42—42no—
1588C42C22×D414yes—
1589C42C22×D418yes—
1590C42C22×D4116yes—
1591C422−1+414yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23C23×D414yes—
1618C23C22×#4112yes—
1619C23#58512yes—
1620C23C2611yescharacteristic
1621Q8—28no—
1622Q8—28no—
1623Q8—216no—
1624Q8—416no—
1625Q8—48no—
1626Q8—48no—
1627Q8—48no—
1628Q8—44no—
1629Q8—48no—
1630Q8—44no—
1631Q8—84no—
1632D4—28no—
1633D4—28no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—84no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—216no—
1664C2×C4—28no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—416no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—84no—
1729C2×C4—88no—
1730C2×C4—82no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—88no—
1734C2×C4C23×D414yes—
1735C2×C4C23×D418yes—
1736C2×C4C23×D412yes—
1737C2×C4C23×D414yes—
1738C2×C4C23×D414yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D412yes—
1741C2×C4C22×#4114yes—
1742C2×C4C22×#4114yes—
1743C2×C4C22×#4112yes—
1744C2×C4C22×#4112yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+414yes—
1747C2×C4C2×2−1+412yes—
1748C2×C4C2×2−1+412yes—
1749C2×C4C2×2−1+412yes—
1750C2×C4#58512yes—
1751C22—22no—
1752C22—22no—
1753C22—24no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—24no—
1758C22—22no—
1759C22—24no—
1760C22—41no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—41no—
1765C22—42no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22C24×D411yescharacteristic
1780C22C23×#4111yescharacteristic
1781C22C22×2−1+411yescharacteristic
1782C22C22×2−1+411yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22C2×#58511yescharacteristic
1785C222−1+611yescharacteristic
1786C4—24no—
1787C4—24no—
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—28no—
1792C4—22no—
1793C4—24no—
1794C4—22no—
1795C4—24no—
1796C4—24no—
1797C4—41no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—44no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—44no—
1814C4—41no—
1815C4D4×#4114yes—
1816C4#349914yes—
1817C2—42no—
1818C2—42no—
1819C2—44no—
1820C2—82no—
1821C2C2×D4×#4111yescharacteristic
1822C2#6278811yescharacteristic
1823C2C2×#349911yescharacteristic
1824C2#6293211yescharacteristic
1825C2#6300111yescharacteristic
1826C2#6300211yescharacteristic
1827C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
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×#3507C2semidirect
3. #59840C2semidirect
4. #59829C2semidirect
5. #59653C2semidirect
6. #59651C2semidirect
7. #59072C2semidirect
8. #59069C2semidirect
9. #59067C2semidirect
10. #59055C2semidirect
11. #45321C2semidirect
12. #45238C2semidirect
13. #44773C2semidirect
14. #44204C2semidirect
15. #39859C2semidirect
16. #39855C2semidirect
17. #39442C2semidirect
18. #39435C2semidirect
19. #39343C2semidirect
20. #38921C2semidirect
21. #36562C2semidirect
22. #36545C2semidirect
23. #36544C2semidirect
24. #36466C2semidirect
25. #36276C2semidirect
26. #36272C2semidirect
27. #36151C2semidirect
28. #36135C2semidirect
29. #35997C2semidirect
30. #35686C2semidirect
31. #34919C2semidirect
33. #34276C2semidirect
34. C4×#556C2semidirect
35. C4×D4×Q8C2semidirect
313. #556D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#35072
#598402
#598292
#596532
#596512
#590722
#590692
#590672
#590552
#453212
#452382
#447732
#442042
#398592
#398552
#394422
#394352
#393432
#389212
#365622
#365452
#365442
#364662
#362762
#362722
#361512
#361352
#359972
#356862
#349192
#348892
#342762
C4×#5562
C4×D4×Q82