Finite Group Databasebeta

← #7987484

Subgroups — #7987484

Order 512.

7180 conjugacy classes of subgroups.

The subgroup lattice has 1933 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×#3544C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59586C212yesmaximal, complemented
5#59550C212yesmaximal, complemented
6#59136C211yesmaximal, characteristic, complemented
7#59057C211yesmaximal, characteristic, complemented
8#51974C214yesmaximal, complemented
9#51746C214yesmaximal, complemented
10#45481C214yesmaximal, complemented
11#45064C212yesmaximal, complemented
12#44987C212yesmaximal, complemented
13#44939C212yesmaximal, complemented
14#44913C212yesmaximal, complemented
15#42429C212yesmaximal, complemented
16#42424C212yesmaximal, complemented
17#42423C212yesmaximal, complemented
18#42421C212yesmaximal, complemented
19#39597C211yesmaximal, characteristic, complemented
20#39469C211yesmaximal, characteristic, complemented
21#39433C212yesmaximal, complemented
22#39426C212yesmaximal, complemented
23#39335C214yesmaximal, complemented
24#39138C211yesmaximal, characteristic, complemented
25#38909C211yesmaximal, characteristic, complemented
26#36457C211yesmaximal, characteristic, complemented
27#36412C211yesmaximal, characteristic, complemented
28#36126C212yesmaximal, complemented
29#36125C212yesmaximal, complemented
30#36122C211yesmaximal, characteristic, complemented
31#35169C212yesmaximal, complemented
32#35158C212yesmaximal, complemented
33#34919C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36#3548—216no—
37#3544—216no—
38C2×#563C2214yes—
39C2×#562C2214yes—
40C2×Q82C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#550C2212yes—
49C2×#550C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#548C2212yes—
52C2×#547C2212yes—
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#547C2212yes—
56C2×#544C2212yes—
57C2×#544C2212yes—
58C2×#542C2212yes—
59C2×#542C2212yes—
60C2×#540C2212yes—
61C2×#540C2212yes—
62C2×#537C2214yes—
63C2×#537C2212yes—
64C2×#537C2212yes—
65C2×#536C2214yes—
66C2×#533C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#532C2214yes—
70C22×C4⋊Q8C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73#2858C2212yes—
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic
76#2856C2212yes—
77#2856C2211yescharacteristic
78#2854C2214yes—
79#2850C2214yes—
80#2850C2214yes—
81#2814C2214yes—
82#2813C2214yes—
83#2730C2214yes—
84#2729C2214yes—
85#2728C2214yes—
86#2714C2214yes—
87#2714C2214yes—
88#2713C2214yes—
89#2712C2214yes—
90#2711C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2696C2214yes—
94#2696C2214yes—
95#2694C2214yes—
96#2693C2214yes—
97#2693C2214yes—
98#2692C2214yes—
99#2692C2214yes—
100#2691C2214yes—
101#2691C2214yes—
102#2691C2214yes—
103#2690C2214yes—
104#2677C2214yes—
105#2677C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2676C2214yes—
109#2676C2214yes—
110#2674C2214yes—
111#2673C2214yes—
112#2673C2214yes—
113#2671C2214yes—
114#2671C2214yes—
115#2671C2214yes—
116#2663C2214yes—
117#2661C2214yes—
118#2639C2214yes—
119#2639C2214yes—
120#2628C2212yes—
121#2624C2212yes—
122#2619C2212yes—
123#2616C2214yes—
124#2615C2212yes—
125#2615C2214yes—
126#2582C2211yescharacteristic
127#2581C2212yes—
128#2567C2211yescharacteristic
129#2563C2211yescharacteristic
130#2563C2212yes—
131#2560C2212yes—
132#2560C2214yes—
133#2559C2212yes—
134#2559C2214yes—
135#2558C2214yes—
136#2558C2212yes—
137#2557C2212yes—
138#2557C2214yes—
139#2555C2214yes—
140#2555C2214yes—
141#2555C2214yes—
142#2553C2214yes—
143#2551C2212yes—
144#2550C2212yes—
145#2550C2211yescharacteristic
146#2550C2211yescharacteristic
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2546C2212yes—
150#2545C2212yes—
151#2545C2211yescharacteristic
152#2544C2211yescharacteristic
153#2544C2212yes—
154#2541C2212yes—
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2540C2214yes—
158#2540C2211yescharacteristic
159#2540C2212yes—
160#2540C2211yescharacteristic
161#2537C2211yescharacteristic
162#2536C2214yes—
163#2536C2211yescharacteristic
164#2535C2212yes—
165#2535C2211yescharacteristic
166#2535C2212yes—
167#2521C2212yes—
168#2519C2212yes—
169#2500C2212yes—
170#2492C2212yes—
171#2492C2214yes—
172#2492C2211yescharacteristic
173#2492C2212yes—
174#2491C2212yes—
175#2491C2214yes—
176#2491C2214yes—
177#2491C2212yes—
178#2491C2211yescharacteristic
179#2491C2212yes—
180#2491C2214yes—
181#2491C2212yes—
182#2490C2211yescharacteristic
183#2490C2214yes—
184#2490C2212yes—
185#2490C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2489C2211yescharacteristic
189#2489C2214yes—
190#2485C2212yes—
191#2481C2214yes—
192#2477C2214yes—
193#2473C2214yes—
194#2471C2214yes—
195#2464C2214yes—
196#2464C2214yes—
197#2464C2214yes—
198#2464C2214yes—
199#2464C2212yes—
200#2461C2214yes—
201#2461C2214yes—
202#2461C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2452C2212yes—
206#2452C2214yes—
207#2452C2212yes—
208#2452C2212yes—
209#2446C2212yes—
210#2445C2214yes—
211#2442C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2436C2212yes—
217#2432C2212yes—
218#2432C2214yes—
219#2431C2212yes—
220#2431C2214yes—
221#2431C2212yes—
222#2430C2214yes—
223#2430C2214yes—
224#2429C2211yescharacteristic
225#2428C2212yes—
226#2428C2211yescharacteristic
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2427C2212yes—
232#2427C2212yes—
233#2427C2212yes—
234#2427C2211yescharacteristic
235#2427C2212yes—
236#2426C2211yescharacteristic
237#2423C2212yes—
238#2417C2212yes—
239#2417C2214yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2414C2212yes—
246#2414C2214yes—
247#2409C2214yes—
248#2407C2214yes—
249#2407C2212yes—
250#2407C2212yes—
251#2396C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2388C2212yes—
255#2370C2212yes—
256#2369C2211yescharacteristic
257#2368C2214yes—
258#2366C2212yes—
259#2363C2212yes—
260#2363C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2361C2212yes—
267#2360C2212yes—
268#2355C2211yescharacteristic
269#2352C2214yes—
270#2349C2212yes—
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273#2345C2212yes—
274#2341C2212yes—
275#2341C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2311C2212yes—
279#2311C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#125C2212yes—
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2214yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293#2297C2212yes—
294#2297C2212yes—
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2314yes—
305C22×#41C2314yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308#563—232no—
309#562—232no—
310Q82—28no—
311#555—28no—
312#554—28no—
313#554—28no—
314#554—216no—
315#554D4116yescomplemented
316#552—216no—
317#552—216no—
318#550—28no—
319#550—216no—
320#550—28no—
321#548—48no—
322#547—216no—
323#547—216no—
324#547—216no—
325#547—216no—
326#544—216no—
327#544—216no—
328#542—216no—
329#542—216no—
330#540—216no—
331#540—216no—
332#537—232no—
333#537—216no—
334#537—216no—
335#536—232no—
336#533—28no—
337#532—28no—
338#532—28no—
339#532—416no—
340C2×C4⋊Q8—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2311yescharacteristic
354C2×#127C2311yescharacteristic
355C2×#127C2312yes—
356C2×#127C2311yescharacteristic
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2314yes—
360#529—28no—
361#529—28no—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2314yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2314yes—
508C22×C42C2312yes—
509#400C2314yes—
510#400C2314yes—
511#400C2312yes—
512#400C2314yes—
513#400C2314yes—
514#400C2312yes—
515#400C2314yes—
516#399C2314yes—
517#399C2314yes—
518#399C2312yes—
519#399C2312yes—
520#399C2314yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#397C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2312yes—
554#395C2314yes—
555#395C2312yes—
556#395C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#393C2314yes—
585#393C2312yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2312yes—
593#393C2314yes—
594#392C2312yes—
595#392C2312yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2311yescharacteristic
626#391C2311yescharacteristic
627#391C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2314yes—
650#390C2312yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2311yescharacteristic
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#387C2314yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2312yes—
768#384C2311yescharacteristic
769#384C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2311yescharacteristic
773#382C2312yes—
774#382C2314yes—
775#382C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2311yescharacteristic
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C2×#95C2314yes—
845C43C2312yes—
846C43C2311yescharacteristic
847C2×#41—28no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—216no—
851C2×#41—216no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—48no—
857C2×#41—48no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—84no—
863C2×#41—82no—
864C2×#41—84no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—82no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2414yes—
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—216no—
928C4⋊Q8—216no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—48no—
933C4⋊Q8C2×D418yes—
934#127—24no—
935#127—28no—
936#127—24no—
937#127—28no—
938#127—44no—
939#127—48no—
940#126—28no—
941#126—216no—
942#126—28no—
943#126—216no—
944#125—24no—
945#125—24no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—216no—
950#125—216no—
951#125C2×D4116yes—
952#124—24no—
953#124—28no—
954#124—24no—
955#124—28no—
956#124—216no—
957#124—216no—
958#124—28no—
959#124—48no—
960#124—48no—
961#124—44no—
962#124—42no—
963#124—44no—
964#124—42no—
965#124—82no—
966#124—84no—
967#123—216no—
968#123—216no—
969#123—28no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—216no—
975#123—216no—
976#123—216no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—24no—
994C22⋊Q8—44no—
995C22⋊Q8—48no—
996C22⋊Q8—42no—
997C22⋊Q8—84no—
998C22⋊Q8C2×D4132yes—
999C22⋊Q8C2×D4116yes—
1000#121—24no—
1001#121—24no—
1002#121—28no—
1003#121—216no—
1004#121—28no—
1005#121—216no—
1006#121—28no—
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#121—24no—
1011#121—216no—
1012#121—216no—
1013#121—28no—
1014#121—216no—
1015#121—24no—
1016#121—28no—
1017#121—28no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—216no—
1022#121—28no—
1023#121—48no—
1024#121—48no—
1025#121—48no—
1026#121—44no—
1027#121—44no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—42no—
1032#121—48no—
1033#121—44no—
1034#121—84no—
1035#121—84no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×Q8—44no—
1042C4×Q8—42no—
1043C4×Q8—42no—
1044C4×Q8C2×D418yes—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—216no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—48no—
1060C4×D4—44no—
1061C4×D4—42no—
1062C4×D4—44no—
1063C4×D4—42no—
1064C4×D4—44no—
1065C4×D4—42no—
1066C4×D4—48no—
1067C4×D4—48no—
1068C4×D4C2×D418yes—
1069C4×D4C2×D4116yes—
1070#117—28no—
1071#117—28no—
1072#117—216no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—216no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—44no—
1082C2×C4⋊C4C2×D4116yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C42—24no—
1215C2×C42—24no—
1216C2×C42—48no—
1217C2×C42—44no—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2414yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297C24C2512yes—
1298C24C2511yescharacteristic
1299C24C2514yes—
1300C24C2512yes—
1301C24C2512yes—
1302C24C2511yescharacteristic
1303#41—816no—
1304#41—816no—
1305#41—816no—
1306#41—832no—
1307#41—832no—
1308#41—816no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—28no—
1314C2×Q8—28no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—44no—
1327C2×Q8—42no—
1328C2×Q8—44no—
1329C2×Q8—44no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—42no—
1333C2×Q8—42no—
1334C2×Q8—816no—
1335C2×Q8C22×D414yes—
1336C2×Q8C22×D418yes—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—42no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4C22×D414yes—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—28no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—28no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—28no—
1443C22×C4—28no—
1444C22×C4—28no—
1445C22×C4—28no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—41no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—41no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4C22×D418yes—
1468C22×C4C22×D4116yes—
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2514yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2514yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—22no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—41no—
1538C4⋊C4—42no—
1539C4⋊C4—41no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4C22×D418yes—
1551C4⋊C4C22×D418yes—
1552C4⋊C4C22×D4116yes—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D4116yes—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D418yes—
1557C4⋊C42−1+414yes—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—41no—
1597C22⋊C4—42no—
1598C22⋊C4—41no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4C22×D4116yes—
1627C22⋊C4C22×D418yes—
1628C22⋊C4H(5,𝔽2)14yes—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—28no—
1636C42—24no—
1637C42—24no—
1638C42—28no—
1639C42—24no—
1640C42—28no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—42no—
1649C42—42no—
1650C42—44no—
1651C42—44no—
1652C42—42no—
1653C42—42no—
1654C42—42no—
1655C42—41no—
1656C42C22×D414yes—
1657C42C22×D418yes—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—24no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—24no—
1677C23—22no—
1678C23—21no—
1679C23—22no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—24no—
1685C23—21no—
1686C23—22no—
1687C23—21no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—24no—
1694C23—22no—
1695C23—24no—
1696C23—21no—
1697C23—22no—
1698C23C23×D414yes—
1699C23C2×H(5,𝔽2)12yes—
1700C23C2611yescharacteristic
1701Q8—28no—
1702Q8—48no—
1703Q8—48no—
1704Q8—44no—
1705Q8—44no—
1706Q8—88no—
1707Q8—84no—
1708Q8—88no—
1709Q8—84no—
1710D4—28no—
1711D4—48no—
1712D4—48no—
1713D4—48no—
1714D4—48no—
1715D4—44no—
1716D4—48no—
1717D4—44no—
1718D4—44no—
1719D4—48no—
1720D4—88no—
1721D4—88no—
1722D4—88no—
1723D4—84no—
1724D4—84no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—88no—
1733D4—84no—
1734D4—164no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—216no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—416no—
1810C2×C4—48no—
1811C2×C4—416no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—416no—
1815C2×C4—44no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—88no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—84no—
1827C2×C4C23×D414yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D418yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D412yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×2−1+414yes—
1837C2×C4C2×2−1+412yes—
1838C2×C4#58512yes—
1839C2×C4#58512yes—
1840C2×C4#58512yes—
1841C22—22no—
1842C22—24no—
1843C22—22no—
1844C22—22no—
1845C22—24no—
1846C22—24no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—41no—
1855C22—41no—
1856C22—44no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—41no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—41no—
1869C22—44no—
1870C22—42no—
1871C22—42no—
1872C22—41no—
1873C22—44no—
1874C22—42no—
1875C22—41no—
1876C22—42no—
1877C22—44no—
1878C22—42no—
1879C22—41no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22C24×D411yescharacteristic
1884C22C22×H(5,𝔽2)11yescharacteristic
1885C22C22×2−1+411yescharacteristic
1886C22C2×#58511yescharacteristic
1887C22C2×#58511yescharacteristic
1888C22C2×#58511yescharacteristic
1889C22H(7,𝔽2)11yescharacteristic
1890C4—22no—
1891C4—28no—
1892C4—24no—
1893C4—22no—
1894C4—22no—
1895C4—24no—
1896C4—24no—
1897C4—24no—
1898C4—44no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—44no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—42no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—42no—
1915C4—42no—
1916C4—41no—
1917C4#349714yes—
1918C4#350014yes—
1919C2—42no—
1920C2—44no—
1921C2—84no—
1922C2—81no—
1923C2—82no—
1924C2—82no—
1925C2#6275911yescharacteristic
1926C2C2×#349711yescharacteristic
1927C2C2×#350011yescharacteristic
1928C2#6293711yescharacteristic
1929C2#6295211yescharacteristic
1930C2D4×H(5,𝔽2)11yescharacteristic
1931C2#6301311yescharacteristic
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×#3548C2semidirect
2. C2×#3544C2semidirect
3. #59660C2semidirect
4. #59586C2semidirect
5. #59550C2semidirect
6. #59136C2semidirect
7. #59057C2semidirect
8. #51974C2semidirect
9. #51746C2semidirect
10. #45481C2semidirect
11. #45064C2semidirect
12. #44987C2semidirect
13. #44939C2semidirect
14. #44913C2semidirect
15. #42429C2semidirect
16. #42424C2semidirect
17. #42423C2semidirect
18. #42421C2semidirect
19. #39597C2semidirect
20. #39469C2semidirect
21. #39433C2semidirect
22. #39426C2semidirect
23. #39335C2semidirect
24. #39138C2semidirect
25. #38909C2semidirect
26. #36457C2semidirect
27. #36412C2semidirect
28. #36126C2semidirect
29. #36125C2semidirect
30. #36122C2semidirect
31. #35169C2semidirect
32. #35158C2semidirect
33. #34919C2semidirect
34. #34889C2semidirect
35. C4×#554C2semidirect
315. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×#35442
#596602
#595862
#595502
#591362
#590572
#519742
#517462
#454812
#450642
#449872
#449392
#449132
#424292
#424242
#424232
#424212
#395972
#394692
#394332
#394262
#393352
#391382
#389092
#364572
#364122
#361262
#361252
#361222
#351692
#351582
#349192
#348892
C4×#5542