Finite Group Databasebeta

← #7986151

Subgroups — #7986151

Order 512.

6943 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3550C211yesmaximal, characteristic, complemented
2C2×#3554C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59655C212yesmaximal, complemented
5#59413C211yesmaximal, characteristic, complemented
6#59080C211yesmaximal, characteristic, complemented
7#59071C211yesmaximal, characteristic, complemented
8#49575C214yesmaximal, complemented
9#47867C214yesmaximal, complemented
10#45789C214yesmaximal, complemented
11#45287C212yesmaximal, complemented
12#45111C212yesmaximal, complemented
13#45091C212yesmaximal, complemented
14#44896C212yesmaximal, complemented
15#42796C212yesmaximal, complemented
16#42787C212yesmaximal, complemented
17#42444C212yesmaximal, complemented
18#42441C212yesmaximal, complemented
19#39727C211yesmaximal, characteristic, complemented
20#39726C211yesmaximal, characteristic, complemented
21#39441C214yesmaximal, complemented
22#39439C212yesmaximal, complemented
23#39381C212yesmaximal, complemented
24#39341C211yesmaximal, characteristic, complemented
25#38923C211yesmaximal, characteristic, complemented
26#36597C211yesmaximal, characteristic, complemented
27#36469C212yesmaximal, complemented
28#36434C212yesmaximal, complemented
29#36419C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34929C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36#3554—216no—
37#3550—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×#559C2211yescharacteristic
41C2×#559C2212yes—
42C2×#559C2212yes—
43C2×Q82C2212yes—
44C2×#557C2211yescharacteristic
45C2×#556C2211yescharacteristic
46C2×#556C2211yescharacteristic
47C2×#556C2212yes—
48C2×#554C2212yes—
49C2×#550C2211yescharacteristic
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#548C2212yes—
55C2×#547C2212yes—
56C2×#542C2212yes—
57C2×#542C2214yes—
58C2×#542C2212yes—
59C2×#542C2212yes—
60C2×#542C2212yes—
61C2×#540C2212yes—
62C2×#539C2214yes—
63C2×#537C2212yes—
64C2×#536C2212yes—
65C2×#536C2212yes—
66C2×#536C2212yes—
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic
69C2×#533C2211yescharacteristic
70C2×#532C2211yescharacteristic
71C2×#532C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C22×C4×Q8C2212yes—
74#2858C2211yescharacteristic
75#2858C2212yes—
76#2857C2211yescharacteristic
77#2856C2211yescharacteristic
78#2854C2214yes—
79#2854C2214yes—
80#2850C2212yes—
81#2850C2214yes—
82#2814C2214yes—
83#2813C2214yes—
84#2733C2214yes—
85#2732C2214yes—
86#2731C2214yes—
87#2730C2214yes—
88#2729C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2728C2214yes—
92#2727C2214yes—
93#2725C2214yes—
94#2723C2214yes—
95#2722C2214yes—
96#2719C2214yes—
97#2716C2214yes—
98#2715C2214yes—
99#2712C2214yes—
100#2707C2214yes—
101#2704C2214yes—
102#2702C2214yes—
103#2696C2214yes—
104#2695C2214yes—
105#2695C2214yes—
106#2693C2214yes—
107#2682C2214yes—
108#2681C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2676C2214yes—
112#2675C2214yes—
113#2674C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2671C2214yes—
117#2663C2214yes—
118#2661C2214yes—
119#2630C2214yes—
120#2630C2214yes—
121#2625C2212yes—
122#2620C2212yes—
123#2620C2212yes—
124#2618C2214yes—
125#2618C2214yes—
126#2615C2212yes—
127#2602C2214yes—
128#2602C2214yes—
129#2592C2212yes—
130#2592C2212yes—
131#2582C2212yes—
132#2582C2211yescharacteristic
133#2568C2211yescharacteristic
134#2559C2212yes—
135#2559C2214yes—
136#2559C2214yes—
137#2559C2214yes—
138#2557C2214yes—
139#2557C2214yes—
140#2557C2214yes—
141#2557C2212yes—
142#2556C2212yes—
143#2556C2214yes—
144#2556C2212yes—
145#2555C2214yes—
146#2554C2214yes—
147#2554C2214yes—
148#2554C2214yes—
149#2554C2214yes—
150#2553C2214yes—
151#2551C2211yescharacteristic
152#2550C2211yescharacteristic
153#2550C2212yes—
154#2548C2211yescharacteristic
155#2547C2212yes—
156#2546C2211yescharacteristic
157#2546C2211yescharacteristic
158#2545C2212yes—
159#2545C2214yes—
160#2545C2212yes—
161#2544C2212yes—
162#2544C2212yes—
163#2544C2212yes—
164#2544C2211yescharacteristic
165#2542C2211yescharacteristic
166#2541C2212yes—
167#2541C2211yescharacteristic
168#2540C2212yes—
169#2540C2211yescharacteristic
170#2538C2212yes—
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2536C2212yes—
174#2536C2214yes—
175#2535C2211yescharacteristic
176#2521C2212yes—
177#2506C2212yes—
178#2500C2212yes—
179#2492C2214yes—
180#2492C2211yescharacteristic
181#2492C2211yescharacteristic
182#2492C2211yescharacteristic
183#2491C2212yes—
184#2491C2214yes—
185#2490C2212yes—
186#2490C2211yescharacteristic
187#2489C2212yes—
188#2485C2212yes—
189#2481C2214yes—
190#2475C2214yes—
191#2469C2214yes—
192#2464C2212yes—
193#2463C2214yes—
194#2458C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2453C2212yes—
198#2453C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2451C2212yes—
204#2448C2212yes—
205#2446C2212yes—
206#2443C2214yes—
207#2440C2214yes—
208#2439C2212yes—
209#2436C2212yes—
210#2434C2212yes—
211#2432C2212yes—
212#2429C2214yes—
213#2429C2214yes—
214#2429C2214yes—
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2211yescharacteristic
220#2429C2214yes—
221#2429C2211yescharacteristic
222#2429C2212yes—
223#2428C2212yes—
224#2428C2211yescharacteristic
225#2428C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2426C2212yes—
232#2426C2214yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2214yes—
237#2426C2212yes—
238#2426C2212yes—
239#2426C2214yes—
240#2423C2212yes—
241#2422C2214yes—
242#2421C2212yes—
243#2417C2212yes—
244#2417C2214yes—
245#2416C2214yes—
246#2416C2212yes—
247#2415C2212yes—
248#2414C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2396C2212yes—
253#2396C2212yes—
254#2395C2212yes—
255#2388C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2365C2212yes—
262#2365C2212yes—
263#2365C2211yescharacteristic
264#2363C2212yes—
265#2363C2212yes—
266#2363C2212yes—
267#2360C2214yes—
268#2360C2212yes—
269#2360C2214yes—
270#2351C2212yes—
271Q8×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yes—
274#2341C2212yes—
275Q8×C22⋊C4C2212yes—
276Q8×C22⋊C4C2212yes—
277#2324C2212yes—
278#2323C2212yes—
279#2316C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2214yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#121C2214yes—
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294#2297C2212yes—
295#2297C2212yes—
296#2293C2212yes—
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C42×D4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306#563—232no—
307#562—232no—
308#559—28no—
309#559—216no—
310#559—216no—
311Q82—216no—
312#557—28no—
313#556—216no—
314#556—28no—
315#556—28no—
316#554—216no—
317#550—28no—
318D4×Q8—216no—
319D4×Q8—28no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#548—48no—
323#547—216no—
324#542—216no—
325#542—216no—
326#542—232no—
327#542—216no—
328#542—216no—
329#540—216no—
330#539—232no—
331#537—48no—
332#536—216no—
333#536—216no—
334#536—216no—
335#533—28no—
336#533—28no—
337#533—28no—
338#532—28no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×C4⋊Q8C2312yes—
356C2×#127C2311yescharacteristic
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2312yes—
360#529—28no—
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2314yes—
385C2×#124C2312yes—
386C2×#124C2314yes—
387C2×#124C2314yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×C4×Q8—48no—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2314yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2314yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2314yes—
506C22×C42C2312yes—
507#400C2314yes—
508#400C2314yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2314yes—
513#400C2314yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2314yes—
518#399C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#396C2312yes—
559#396C2312yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2312yes—
566#395C2314yes—
567#395C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2312yes—
595#393C2312yes—
596#393C2312yes—
597#393C2314yes—
598#393C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2312yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2314yes—
622#391C2311yescharacteristic
623#391C2314yes—
624#391C2312yes—
625#391C2314yes—
626#391C2314yes—
627#391C2311yescharacteristic
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2314yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2311yescharacteristic
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2311yescharacteristic
695#389C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#384C2311yescharacteristic
777#384C2312yes—
778#384C2312yes—
779#384C2311yescharacteristic
780#382C2312yes—
781#382C2314yes—
782#382C2311yescharacteristic
783#380C2314yes—
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2314yes—
797#380C2314yes—
798#380C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C43C2311yescharacteristic
847C43C2312yes—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C22×Q8—28no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D4116yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910C4⋊Q8—28no—
911C4⋊Q8—216no—
912C4⋊Q8—216no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—216no—
917C4⋊Q8—28no—
918C4⋊Q8—24no—
919C4⋊Q8—42no—
920C4⋊Q8—44no—
921C4⋊Q8—44no—
922C4⋊Q8C2×D418yes—
923C4⋊Q8C2×D4116yes—
924#127—24no—
925#127—28no—
926#127—24no—
927#127—44no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—28no—
932#126—216no—
933#126—216no—
934#125—24no—
935#125—28no—
936#125—28no—
937#125—28no—
938#125—216no—
939#125—28no—
940#124—28no—
941#124—216no—
942#124—28no—
943#124—216no—
944#124—24no—
945#124—28no—
946#124—28no—
947#124—216no—
948#124—216no—
949#124—216no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—24no—
954#124—48no—
955#124—44no—
956#124—44no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—216no—
966#123—216no—
967#123—216no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—216no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—24no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—48no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8C2×D4116yes—
996C22⋊Q8C2×D4132yes—
997#121—24no—
998#121—24no—
999#121—216no—
1000#121—28no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—216no—
1007#121—216no—
1008#121—44no—
1009#121—48no—
1010#121—44no—
1011#121—48no—
1012#121—48no—
1013#121—48no—
1014#121—44no—
1015#121—42no—
1016#121—44no—
1017#121—44no—
1018#121—48no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—216no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—28no—
1031C4×Q8—28no—
1032C4×Q8—28no—
1033C4×Q8—48no—
1034C4×Q8—48no—
1035C4×Q8—44no—
1036C4×Q8—44no—
1037C4×Q8—42no—
1038C4×Q8C2×D418yes—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—42no—
1053C4×D4—44no—
1054C4×D4—48no—
1055C4×D4—42no—
1056C4×D4—44no—
1057C4×D4—42no—
1058C4×D4C2×D418yes—
1059C4×D4C2×D4116yes—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066C2×C4⋊C4—216no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—48no—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C42—24no—
1204C2×C42—24no—
1205C2×C42—44no—
1206C2×C42—48no—
1207C2×C42C2411yescharacteristic
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2412yes—
1219C2×C42C2414yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2411yescharacteristic
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291C24C2511yescharacteristic
1292C24C2512yes—
1293C24C2511yescharacteristic
1294C24C2514yes—
1295C24C2512yes—
1296#41—816no—
1297#41—816no—
1298#41—816no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—28no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—44no—
1325C2×Q8—42no—
1326C2×Q8—44no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—432no—
1330C2×Q8—816no—
1331C2×Q8C22×D418yes—
1332C2×Q8C22×D414yes—
1333C2×Q8C22×D4116yes—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—28no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4C22×D414yes—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—28no—
1413C22×C4—28no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—42no—
1417C22×C4—41no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—41no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4C22×D418yes—
1435C22×C4C22×D4116yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—41no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—44no—
1529C4⋊C4C22×D4116yes—
1530C4⋊C4C22×D414yes—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D414yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4H(5,𝔽2)14yes—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—22no—
1570C22⋊C4—28no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—44no—
1581C22⋊C4—41no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4C22×D418yes—
1599C22⋊C4C22×D4116yes—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—24no—
1607C42—28no—
1608C42—24no—
1609C42—24no—
1610C42—28no—
1611C42—28no—
1612C42—28no—
1613C42—24no—
1614C42—22no—
1615C42—28no—
1616C42—24no—
1617C42—22no—
1618C42—22no—
1619C42—24no—
1620C42—44no—
1621C42—42no—
1622C42—44no—
1623C42—42no—
1624C42—41no—
1625C42—42no—
1626C42—41no—
1627C42—42no—
1628C42—42no—
1629C42C22×D414yes—
1630C42C22×D418yes—
1631C422−1+414yes—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—21no—
1641C23—24no—
1642C23—21no—
1643C23—21no—
1644C23—24no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—24no—
1651C23—21no—
1652C23—21no—
1653C23—22no—
1654C23—24no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—24no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—24no—
1666C23C23×D414yes—
1667C23C2611yescharacteristic
1668Q8—28no—
1669Q8—216no—
1670Q8—416no—
1671Q8—48no—
1672Q8—44no—
1673Q8—44no—
1674Q8—44no—
1675Q8—48no—
1676Q8—84no—
1677Q8—88no—
1678Q8—84no—
1679D4—28no—
1680D4—48no—
1681D4—44no—
1682D4—48no—
1683D4—44no—
1684D4—48no—
1685D4—84no—
1686D4—88no—
1687D4—84no—
1688D4—88no—
1689D4—84no—
1690D4—88no—
1691D4—84no—
1692D4—84no—
1693D4—88no—
1694D4—84no—
1695D4—164no—
1696D4—164no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—216no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—416no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—48no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—82no—
1782C2×C4—88no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4C23×D414yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D414yes—
1791C2×C4C23×D418yes—
1792C2×C4C23×D414yes—
1793C2×C4C23×D412yes—
1794C2×C4C23×D412yes—
1795C2×C4C2×H(5,𝔽2)14yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×2−1+412yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4C2×2−1+412yes—
1800C2×C4#58512yes—
1801C2×C4#58512yes—
1802C2×C4#58512yes—
1803C22—24no—
1804C22—24no—
1805C22—24no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—44no—
1812C22—41no—
1813C22—42no—
1814C22—41no—
1815C22—41no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—41no—
1821C22—44no—
1822C22—42no—
1823C22—41no—
1824C22—44no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—42no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—44no—
1833C22—42no—
1834C22—42no—
1835C22—44no—
1836C22—41no—
1837C22—41no—
1838C22C24×D411yescharacteristic
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C22×2−1+411yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22C2×#58511yescharacteristic
1843C22C2×#58511yescharacteristic
1844C222−1+611yescharacteristic
1845C4—22no—
1846C4—22no—
1847C4—24no—
1848C4—22no—
1849C4—24no—
1850C4—24no—
1851C4—28no—
1852C4—24no—
1853C4—22no—
1854C4—42no—
1855C4—41no—
1856C4—42no—
1857C4—42no—
1858C4—41no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—44no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—44no—
1870C4—42no—
1871C4—41no—
1872C4—42no—
1873C4#349614yes—
1874C4#349714yes—
1875C2—44no—
1876C2—81no—
1877C2—81no—
1878C2—84no—
1879C2—82no—
1880C2#6276111yescharacteristic
1881C2C2×#349611yescharacteristic
1882C2C2×#349711yescharacteristic
1883C2#6291311yescharacteristic
1884C2#6296811yescharacteristic
1885C2#6300211yescharacteristic
1886C2#6302111yescharacteristic
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×#3550C2semidirect
2. C2×#3554C2semidirect
3. #59811C2semidirect
4. #59655C2semidirect
5. #59413C2semidirect
6. #59080C2semidirect
7. #59071C2semidirect
8. #49575C2semidirect
9. #47867C2semidirect
10. #45789C2semidirect
11. #45287C2semidirect
12. #45111C2semidirect
13. #45091C2semidirect
14. #44896C2semidirect
15. #42796C2semidirect
16. #42787C2semidirect
17. #42444C2semidirect
18. #42441C2semidirect
19. #39727C2semidirect
20. #39726C2semidirect
21. #39441C2semidirect
22. #39439C2semidirect
23. #39381C2semidirect
24. #39341C2semidirect
25. #38923C2semidirect
26. #36597C2semidirect
27. #36469C2semidirect
28. #36434C2semidirect
29. #36419C2semidirect
30. #36150C2semidirect
31. #35169C2semidirect
32. #35153C2semidirect
33. #34929C2semidirect
34. #34889C2semidirect
35. C4×D4×Q8C2semidirect
320. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35502
C2×#35542
#598112
#596552
#594132
#590802
#590712
#495752
#478672
#457892
#452872
#451112
#450912
#448962
#427962
#427872
#424442
#424412
#397272
#397262
#394412
#394392
#393812
#393412
#389232
#365972
#364692
#364342
#364192
#361502
#351692
#351532
#349292
#348892
C4×D4×Q82