Finite Group Databasebeta

← #7691294

Subgroups — #7691294

Order 512.

6993 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3523C211yesmaximal, characteristic, complemented
3#59844C214yesmaximal, complemented
4#59809C212yesmaximal, complemented
5#59418C211yesmaximal, characteristic, complemented
6#59415C212yesmaximal, complemented
7#59146C212yesmaximal, complemented
8#59144C211yesmaximal, characteristic, complemented
9#59043C212yesmaximal, complemented
10#59040C211yesmaximal, characteristic, complemented
11#45245C212yesmaximal, complemented
12#45177C212yesmaximal, complemented
13#44774C214yesmaximal, complemented
14#44771C214yesmaximal, complemented
15#39855C212yesmaximal, complemented
16#39854C212yesmaximal, complemented
17#39451C214yesmaximal, complemented
18#39437C212yesmaximal, complemented
19#39343C211yesmaximal, characteristic, complemented
20#38920C211yesmaximal, characteristic, complemented
21#36579C211yesmaximal, characteristic, complemented
22#36508C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36467C212yesmaximal, complemented
25#36303C211yesmaximal, characteristic, complemented
26#36269C212yesmaximal, complemented
27#36141C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36080C212yesmaximal, complemented
30#36077C212yesmaximal, complemented
31#34929C212yesmaximal, complemented
32#34889C211yesmaximal, characteristic, complemented
33#34276C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3511—216no—
38C2×#557C2211yescharacteristic
39C2×#557C2212yes—
40C2×#557C2211yescharacteristic
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#555C2212yes—
45C2×#554C2212yes—
46C2×#553C2214yes—
47C2×#552C2212yes—
48C2×#552C2214yes—
49C2×D4×Q8C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2211yescharacteristic
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#542C2214yes—
57C2×#541C2212yes—
58C2×#541C2214yes—
59C2×#537C2212yes—
60C2×#536C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#533C2212yes—
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#520C2212yes—
70C2×#519C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73#2862C2211yescharacteristic
74#2861C2214yes—
75#2861C2212yes—
76#2857C2211yescharacteristic
77#2857C2211yescharacteristic
78#2851C2212yes—
79#2850C2212yes—
80#2850C2212yes—
81#2720C2214yes—
82#2719C2214yes—
83#2718C2214yes—
84#2713C2214yes—
85#2713C2214yes—
86#2711C2214yes—
87#2707C2214yes—
88#2706C2214yes—
89#2698C2214yes—
90#2694C2214yes—
91#2692C2214yes—
92#2691C2214yes—
93#2691C2214yes—
94#2690C2214yes—
95#2689C2214yes—
96#2681C2214yes—
97#2677C2214yes—
98#2676C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2672C2214yes—
102#2634C2214yes—
103#2632C2214yes—
104#2624C2212yes—
105#2616C2212yes—
106#2611C2214yes—
107#2610C2214yes—
108#2599C2214yes—
109#2598C2214yes—
110#2592C2212yes—
111#2592C2214yes—
112#2581C2212yes—
113#2568C2211yescharacteristic
114#2565C2212yes—
115#2562C2212yes—
116#2562C2214yes—
117#2559C2214yes—
118#2559C2214yes—
119#2559C2214yes—
120#2559C2212yes—
121#2558C2214yes—
122#2557C2212yes—
123#2557C2214yes—
124#2556C2214yes—
125#2556C2214yes—
126#2551C2212yes—
127#2550C2212yes—
128#2550C2212yes—
129#2550C2211yescharacteristic
130#2549C2214yes—
131#2547C2211yescharacteristic
132#2546C2211yescharacteristic
133#2546C2212yes—
134#2545C2212yes—
135#2544C2211yescharacteristic
136#2542C2212yes—
137#2542C2211yescharacteristic
138#2540C2211yescharacteristic
139#2540C2212yes—
140#2538C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2536C2212yes—
144#2535C2211yescharacteristic
145#2521C2214yes—
146#2521C2212yes—
147#2519C2214yes—
148#2519C2214yes—
149#2506C2214yes—
150#2503C2212yes—
151#2492C2214yes—
152#2492C2212yes—
153#2492C2211yescharacteristic
154#2492C2212yes—
155#2492C2212yes—
156#2491C2212yes—
157#2491C2214yes—
158#2490C2212yes—
159#2490C2214yes—
160#2490C2211yescharacteristic
161#2489C2212yes—
162#2489C2214yes—
163#2488C2214yes—
164#2488C2214yes—
165#2487C2212yes—
166#2481C2214yes—
167#2476C2214yes—
168#2476C2214yes—
169#2475C2214yes—
170#2474C2214yes—
171#2474C2214yes—
172#2473C2214yes—
173#2471C2214yes—
174#2469C2214yes—
175#2468C2214yes—
176#2468C2214yes—
177#2468C2214yes—
178#2466C2214yes—
179#2464C2214yes—
180#2464C2212yes—
181#2464C2214yes—
182#2460C2214yes—
183#2457C2214yes—
184#2457C2214yes—
185#2456C2214yes—
186#2452C2214yes—
187#2451C2212yes—
188#2451C2212yes—
189#2450C2214yes—
190#2450C2214yes—
191#2446C2212yes—
192#2446C2212yes—
193#2446C2212yes—
194#2445C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2439C2212yes—
199#2436C2212yes—
200#2434C2212yes—
201#2432C2212yes—
202#2432C2212yes—
203#2432C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2428C2211yescharacteristic
209#2427C2211yescharacteristic
210#2426C2212yes—
211#2426C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2396C2214yes—
226#2396C2214yes—
227#2395C2212yes—
228#2388C2212yes—
229#2373C2214yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2211yescharacteristic
233#2367C2212yes—
234#2365C2211yescharacteristic
235#2364C2214yes—
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2361C2211yescharacteristic
244#2361C2212yes—
245#2360C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2359C2214yes—
250#2359C2214yes—
251#2359C2214yes—
252#2359C2214yes—
253#2356C2212yes—
254#2355C2211yescharacteristic
255#2354C2211yescharacteristic
256#2352C2212yes—
257#2352C2212yes—
258#2352C2211yescharacteristic
259#2352C2212yes—
260#2351C2211yescharacteristic
261#2347C2212yes—
262#2341C2212yes—
263#2341C2211yescharacteristic
264#2341C2212yes—
265Q8×C22⋊C4C2212yes—
266Q8×C22⋊C4C2212yes—
267Q8×C22⋊C4C2211yescharacteristic
268#2339C2212yes—
269#2339C2212yes—
270#2327C2214yes—
271#2326C2214yes—
272#2317C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2214yes—
276C4×#126C2214yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×#124C2214yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292#2297C2212yes—
293C2×#391C2212yes—
294#2293C2214yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C42×D4C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308#557—28no—
309#557—216no—
310#557—28no—
311#556—216no—
312#556—28no—
313#556D4116yescomplemented
314#555—216no—
315#554—216no—
316#553—232no—
317#552—232no—
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321#548—216no—
322#548—28no—
323#548—216no—
324#547—28no—
325#547—28no—
326#542—232no—
327#541—232no—
328#541—216no—
329#537—216no—
330#536—216no—
331#533—28no—
332#533—216no—
333#533—216no—
334#532—216no—
335#532—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2311yescharacteristic
350C2×#127C2311yescharacteristic
351#529—216no—
352#529—28no—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423#520—216no—
424#519—216no—
425C4×#41—28no—
426C2×C4×Q8—28no—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2314yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C42C2312yes—
491C22×C42C2312yes—
492C22×C42C2311yescharacteristic
493C22×C42C2311yescharacteristic
494C22×C42C2312yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2312yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2312yes—
509#399C2314yes—
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#397C2312yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2312yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#395C2314yes—
539#395C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#392C2312yes—
569#392C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2314yes—
573#391C2311yescharacteristic
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2314yes—
590#391C2314yes—
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#384C2312yes—
749#384C2314yes—
750#384C2311yescharacteristic
751#383C2314yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2314yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#381C2314yes—
761#381C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841#376C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C43C2314yes—
845C43C2312yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—44no—
854C2×#41—42no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C22×Q8—24no—
860C22×Q8—28no—
861C22×Q8—24no—
862C22×Q8—28no—
863C22×Q8—28no—
864C22×Q8—44no—
865C22×Q8—42no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2414yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—24no—
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919C4⋊Q8—216no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—44no—
923C4⋊Q8C2×D418yes—
924#127—24no—
925#126—216no—
926#126—216no—
927#126—28no—
928#126—216no—
929#126—216no—
930#126C2×D4132yes—
931#125—24no—
932#125—216no—
933#125—28no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—28no—
939#125—28no—
940#125—216no—
941#124—24no—
942#124—24no—
943#124—28no—
944#124—216no—
945#124—216no—
946#124—28no—
947#124—28no—
948#124—216no—
949#124—44no—
950#124—42no—
951#124C2×D4116yes—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—216no—
956#123—216no—
957#123—216no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—24no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—42no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8C2×D4116yes—
980C22⋊Q8#4118yescomplemented
981#121—24no—
982#121—24no—
983#121—28no—
984#121—24no—
985#121—28no—
986#121—216no—
987#121—24no—
988#121—216no—
989#121—28no—
990#121—216no—
991#121—216no—
992#121—28no—
993#121—28no—
994#121—42no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—24no—
1006C4×Q8—28no—
1007C4×Q8—216no—
1008C4×Q8—216no—
1009C4×Q8—216no—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—42no—
1014C4×Q8—44no—
1015C4×Q8—44no—
1016C4×Q8C2×D418yes—
1017C4×Q8C2×D4116yes—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—216no—
1028C4×D4—216no—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—24no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—44no—
1038C4×D4—42no—
1039C4×D4—44no—
1040C4×D4C2×D418yes—
1041#117—28no—
1042#117—24no—
1043#117—28no—
1044#117—28no—
1045#117—28no—
1046#117—28no—
1047#117—216no—
1048#117—216no—
1049#117—216no—
1050#117—216no—
1051#117C2×D4116yes—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C42—28no—
1184C2×C42—24no—
1185C2×C42—24no—
1186C2×C42—28no—
1187C2×C42—44no—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2414yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2411yescharacteristic
1243#95C2412yes—
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2412yes—
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283C24C2512yes—
1284C24C2512yes—
1285C24C2512yes—
1286C24C2511yescharacteristic
1287C24C2511yescharacteristic
1288#41—432no—
1289#41—416no—
1290#41—816no—
1291#41—816no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—28no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—28no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—28no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—44no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—432no—
1320C2×Q8—416no—
1321C2×Q8—816no—
1322C2×Q8C22×D414yes—
1323C2×Q8C22×D418yes—
1324C2×Q8C2×#4114yes—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—42no—
1353C2×D4—41no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4C22×D414yes—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—28no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—28no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—28no—
1403C22×C4—24no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4C22×D418yes—
1423C22×C4C2×#4114yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—28no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—41no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D414yes—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C22×D418yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D4116yes—
1518C4⋊C4C2×#4114yes—
1519C4⋊C4C2×#4118yes—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—22no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—22no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4C22×D4116yes—
1575C22⋊C4C22×D4116yes—
1576C22⋊C4C22×D418yes—
1577C22⋊C4C2×#4118yes—
1578C22⋊C42−1+414yes—
1579C42—22no—
1580C42—24no—
1581C42—24no—
1582C42—22no—
1583C42—22no—
1584C42—24no—
1585C42—22no—
1586C42—24no—
1587C42—22no—
1588C42—24no—
1589C42—22no—
1590C42—28no—
1591C42—28no—
1592C42—28no—
1593C42—28no—
1594C42—24no—
1595C42—28no—
1596C42—24no—
1597C42—22no—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—24no—
1602C42—22no—
1603C42—22no—
1604C42—24no—
1605C42—42no—
1606C42—42no—
1607C42—42no—
1608C42—44no—
1609C42—41no—
1610C42—44no—
1611C42—42no—
1612C42—44no—
1613C42C22×D414yes—
1614C42C22×D418yes—
1615C42C22×D4116yes—
1616C23—21no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—22no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23C23×D414yes—
1649C23C22×#4112yes—
1650C23C2×2−1+412yes—
1651C23C2611yescharacteristic
1652Q8—28no—
1653Q8—28no—
1654Q8—216no—
1655Q8—416no—
1656Q8—48no—
1657Q8—48no—
1658Q8—48no—
1659Q8—44no—
1660Q8—48no—
1661Q8—88no—
1662D4—28no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—48no—
1668D4—48no—
1669D4—44no—
1670D4—48no—
1671D4—44no—
1672D4—44no—
1673D4—88no—
1674D4—84no—
1675D4—88no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—216no—
1697C2×C4—28no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—24no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—44no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—416no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—84no—
1765C2×C4—88no—
1766C2×C4—88no—
1767C2×C4—88no—
1768C2×C4—84no—
1769C2×C4C23×D414yes—
1770C2×C4C23×D412yes—
1771C2×C4C23×D418yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D412yes—
1776C2×C4C22×#4114yes—
1777C2×C4C22×#4114yes—
1778C2×C4C22×#4112yes—
1779C2×C4C22×#4112yes—
1780C2×C4C2×2−1+412yes—
1781C2×C4C2×2−1+412yes—
1782C2×C4#58512yes—
1783C2×C4#58512yes—
1784C2×C4#58512yes—
1785C22—22no—
1786C22—24no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—24no—
1792C22—24no—
1793C22—22no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22C24×D411yescharacteristic
1821C22C23×#4111yescharacteristic
1822C22C22×2−1+411yescharacteristic
1823C22C2×#58511yescharacteristic
1824C22C2×#58511yescharacteristic
1825C22C2×#58511yescharacteristic
1826C222−1+611yescharacteristic
1827C4—22no—
1828C4—24no—
1829C4—22no—
1830C4—22no—
1831C4—24no—
1832C4—28no—
1833C4—22no—
1834C4—24no—
1835C4—24no—
1836C4—24no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—41no—
1841C4—44no—
1842C4—42no—
1843C4—41no—
1844C4—41no—
1845C4—42no—
1846C4—41no—
1847C4—44no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—41no—
1854C4—44no—
1855C4D4×#4114yes—
1856C4#350014yes—
1857C2—42no—
1858C2—44no—
1859C2—42no—
1860C2—82no—
1861C2—82no—
1862C2C2×D4×#4111yescharacteristic
1863C2#6280511yescharacteristic
1864C2C2×#350011yescharacteristic
1865C2#6293911yescharacteristic
1866C2D4×2−1+411yescharacteristic
1867C2#6300711yescharacteristic
1868C2#6302511yescharacteristic
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×#3511C2semidirect
2. C2×#3523C2semidirect
3. #59844C2semidirect
4. #59809C2semidirect
5. #59418C2semidirect
6. #59415C2semidirect
7. #59146C2semidirect
8. #59144C2semidirect
9. #59043C2semidirect
10. #59040C2semidirect
11. #45245C2semidirect
12. #45177C2semidirect
13. #44774C2semidirect
14. #44771C2semidirect
15. #39855C2semidirect
16. #39854C2semidirect
17. #39451C2semidirect
18. #39437C2semidirect
19. #39343C2semidirect
20. #38920C2semidirect
21. #36579C2semidirect
22. #36508C2semidirect
23. #36505C2semidirect
24. #36467C2semidirect
25. #36303C2semidirect
26. #36269C2semidirect
27. #36141C2semidirect
28. #36129C2semidirect
29. #36080C2semidirect
30. #36077C2semidirect
31. #34929C2semidirect
32. #34889C2semidirect
33. #34276C2semidirect
34. C4×#556C2semidirect
35. C4×#548C2semidirect
313. #556D4semidirect
980. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35232
#598442
#598092
#594182
#594152
#591462
#591442
#590432
#590402
#452452
#451772
#447742
#447712
#398552
#398542
#394512
#394372
#393432
#389202
#365792
#365082
#365052
#364672
#363032
#362692
#361412
#361292
#360802
#360772
#349292
#348892
#342762
C4×#5562
C4×#5482