Finite Group Databasebeta

← #7689594

Subgroups — #7689594

Order 512.

7379 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59815C211yesmaximal, characteristic, complemented
4#59810C212yesmaximal, complemented
5#59141C214yesmaximal, complemented
6#59119C212yesmaximal, complemented
7#59097C212yesmaximal, complemented
8#59039C211yesmaximal, characteristic, complemented
9#59033C211yesmaximal, characteristic, complemented
10#59033C212yesmaximal, complemented
11#45387C212yesmaximal, complemented
12#44895C212yesmaximal, complemented
13#44457C214yesmaximal, complemented
14#43547C214yesmaximal, complemented
15#39961C212yesmaximal, complemented
16#39865C212yesmaximal, complemented
17#39619C211yesmaximal, characteristic, complemented
18#39125C211yesmaximal, characteristic, complemented
19#37822C214yesmaximal, complemented
20#37764C212yesmaximal, complemented
21#36505C211yesmaximal, characteristic, complemented
22#36436C212yesmaximal, complemented
23#36415C211yesmaximal, characteristic, complemented
24#36411C211yesmaximal, characteristic, complemented
25#36404C211yesmaximal, characteristic, complemented
26#36217C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36139C212yesmaximal, complemented
29#36062C212yesmaximal, complemented
30#36011C212yesmaximal, complemented
31#34744C212yesmaximal, complemented
32#34727C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34289C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3517—216no—
37#3483—216no—
38C2×Q82C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#555C2214yes—
41C2×#555C2211yescharacteristic
42C2×#555C2212yes—
43C2×#555C2212yes—
44C2×#553C2214yes—
45C2×#553C2212yes—
46C2×#550C2212yes—
47C2×#550C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×#550C2211yescharacteristic
53C2×#547C2212yes—
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#547C2212yes—
57C2×#540C2212yes—
58C2×#540C2214yes—
59C2×#532C2214yes—
60C2×#532C2212yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yes—
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#520C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73#2862C2211yescharacteristic
74#2857C2211yescharacteristic
75#2857C2211yescharacteristic
76#2855C2212yes—
77#2854C2212yes—
78#2853C2214yes—
79#2851C2212yes—
80#2850C2212yes—
81#2717C2214yes—
82#2716C2214yes—
83#2713C2214yes—
84#2713C2214yes—
85#2709C2214yes—
86#2708C2214yes—
87#2701C2214yes—
88#2699C2214yes—
89#2688C2214yes—
90#2688C2214yes—
91#2688C2214yes—
92#2686C2214yes—
93#2686C2214yes—
94#2682C2214yes—
95#2674C2214yes—
96#2673C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2671C2214yes—
102#2661C2214yes—
103#2660C2212yes—
104#2635C2214yes—
105#2628C2212yes—
106#2602C2214yes—
107#2600C2214yes—
108#2591C2214yes—
109#2568C2211yescharacteristic
110#2568C2212yes—
111#2567C2211yescharacteristic
112#2565C2212yes—
113#2563C2211yescharacteristic
114#2562C2212yes—
115#2557C2214yes—
116#2557C2214yes—
117#2555C2214yes—
118#2555C2214yes—
119#2550C2212yes—
120#2547C2211yescharacteristic
121#2547C2212yes—
122#2544C2212yes—
123#2544C2214yes—
124#2543C2214yes—
125#2543C2214yes—
126#2541C2212yes—
127#2538C2211yescharacteristic
128#2538C2211yescharacteristic
129#2537C2212yes—
130#2537C2212yes—
131#2536C2212yes—
132#2536C2212yes—
133#2535C2212yes—
134#2535C2212yes—
135#2535C2212yes—
136#2535C2212yes—
137#2521C2214yes—
138#2521C2214yes—
139#2499C2212yes—
140#2498C2214yes—
141#2491C2212yes—
142#2485C2212yes—
143#2484C2214yes—
144#2479C2212yes—
145#2478C2214yes—
146#2476C2214yes—
147#2475C2214yes—
148#2474C2214yes—
149#2474C2214yes—
150#2474C2214yes—
151#2471C2212yes—
152#2470C2214yes—
153#2468C2214yes—
154#2467C2212yes—
155#2464C2214yes—
156#2461C2214yes—
157#2460C2214yes—
158#2459C2214yes—
159#2459C2214yes—
160#2457C2214yes—
161#2456C2212yes—
162#2454C2211yescharacteristic
163#2451C2212yes—
164#2451C2212yes—
165#2448C2211yescharacteristic
166#2448C2212yes—
167#2447C2212yes—
168#2447C2214yes—
169#2447C2212yes—
170#2447C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2445C2212yes—
175#2445C2212yes—
176#2445C2212yes—
177#2444C2214yes—
178#2444C2214yes—
179#2444C2214yes—
180#2444C2214yes—
181#2443C2214yes—
182#2443C2214yes—
183#2443C2214yes—
184#2443C2214yes—
185#2443C2214yes—
186#2441C2211yescharacteristic
187#2432C2212yes—
188#2431C2212yes—
189#2431C2212yes—
190#2431C2214yes—
191#2431C2211yescharacteristic
192#2430C2214yes—
193#2430C2214yes—
194#2428C2212yes—
195#2428C2211yescharacteristic
196#2427C2212yes—
197#2427C2212yes—
198#2425C2214yes—
199#2423C2211yescharacteristic
200#2422C2212yes—
201#2422C2212yes—
202#2421C2212yes—
203#2420C2212yes—
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2419C2214yes—
209#2419C2214yes—
210#2416C2214yes—
211#2415C2212yes—
212#2414C2212yes—
213#2414C2211yescharacteristic
214#2407C2211yescharacteristic
215#2407C2212yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2406C2214yes—
225#2397C2212yes—
226#2395C2214yes—
227#2395C2214yes—
228#2392C2212yes—
229#2367C2212yes—
230#2366C2212yes—
231#2366C2211yescharacteristic
232#2365C2211yescharacteristic
233#2364C2214yes—
234#2364C2214yes—
235#2363C2212yes—
236#2362C2212yes—
237#2362C2211yescharacteristic
238#2362C2211yescharacteristic
239#2362C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2359C2212yes—
243#2359C2214yes—
244#2359C2214yes—
245#2359C2212yes—
246#2357C2212yes—
247#2355C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2212yes—
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2352C2212yes—
253#2352C2212yes—
254#2349C2212yes—
255#2349C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2344C2212yes—
259#2344C2214yes—
260#2339C2212yes—
261#2339C2214yes—
262#2339C2212yes—
263#2339C2212yes—
264#2339C2211yescharacteristic
265#2339C2212yes—
266#2339C2211yescharacteristic
267#2339C2212yes—
268#2339C2212yes—
269#2333C2214yes—
270#2328C2212yes—
271#2327C2212yes—
272#2325C2214yes—
273#2323C2212yes—
274#2322C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#123C2214yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284C4×#123C2214yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290#2297C2212yes—
291#2297C2212yes—
292#2297C2212yes—
293#2296C2212yes—
294#2295C2211yescharacteristic
295#2290C2212yes—
296C2×#387C2214yes—
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C4⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2314yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311Q82—28no—
312#557—28no—
313#555—216no—
314#555—232no—
315#555—28no—
316#555—216no—
317#553—232no—
318#553—216no—
319#550—216no—
320#550—28no—
321#550—216no—
322#550—28no—
323#550—216no—
324#550—216no—
325#550D4116yescomplemented
326#547—216no—
327#547—28no—
328#547—216no—
329#547—28no—
330#540—216no—
331#540—232no—
332#532—216no—
333#532—28no—
334#532—216no—
335#532—28no—
336#532—216no—
337#532—232no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×#127C2314yes—
346C2×#127C2314yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352#529—216no—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2314yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2311yescharacteristic
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417#520—216no—
418C4×#41—216no—
419C4×#41—28no—
420C4×#41—28no—
421C4×#41—216no—
422C4×#41—28no—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C42C2312yes—
495C22×C42C2314yes—
496C22×C42C2312yes—
497C22×C42C2312yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2312yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#399C2314yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2312yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2314yes—
535#396C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#393C2314yes—
563#393C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2312yes—
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2311yescharacteristic
760#384C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2312yes—
771#381C2312yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839#376C2312yes—
840C2×#95C2314yes—
841C2×#95C2312yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C43C2311yescharacteristic
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—216no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—48no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—82no—
875C2×#41—84no—
876C2×#41C2×D4116yes—
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2414yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2414yes—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—216no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8#4118yescomplemented
940#127—28no—
941#127—28no—
942#127—216no—
943#127—216no—
944#127—42no—
945#127C2×D418yes—
946#127C2×D4116yes—
947#126—28no—
948#126—216no—
949#125—24no—
950#125—216no—
951#125—28no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—216no—
958#124—216no—
959#124—44no—
960#124—84no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—48no—
971#123—84no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—44no—
979C22⋊Q8—82no—
980#121—28no—
981#121—216no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—216no—
989#121—216no—
990#121—216no—
991#121—216no—
992#121—28no—
993#121—216no—
994#121—216no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—216no—
999#121—24no—
1000#121—216no—
1001#121—28no—
1002#121—216no—
1003#121—44no—
1004#121—42no—
1005#121—42no—
1006#121—84no—
1007#121—84no—
1008#121C2×D4116yes—
1009#121C2×D4132yes—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×Q8—24no—
1016C4×Q8—24no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8C2×D418yes—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—216no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—216no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—44no—
1051C4×D4—42no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—42no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—42no—
1059C4×D4—82no—
1060C4×D4—84no—
1061C4×D4C2×D418yes—
1062C4×D4C2×D4116yes—
1063#117—28no—
1064#117—216no—
1065#117—24no—
1066#117—24no—
1067#117—28no—
1068#117—24no—
1069#117—28no—
1070#117—28no—
1071#117—216no—
1072#117—28no—
1073#117—216no—
1074#117—28no—
1075#117—44no—
1076C2×C4⋊C4—216no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—216no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—44no—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C42—28no—
1202C2×C42—216no—
1203C2×C42—28no—
1204C2×C42—24no—
1205C2×C42—28no—
1206C2×C42—24no—
1207C2×C42—44no—
1208C2×C42C2412yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298C24C2512yes—
1299C24C2512yes—
1300C24C2514yes—
1301#41—432no—
1302#41—416no—
1303#41—432no—
1304#41—416no—
1305#41—432no—
1306#41—416no—
1307#41—816no—
1308#41—816no—
1309#41—832no—
1310#41—816no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—28no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—42no—
1325C2×Q8—44no—
1326C2×Q8C22×D414yes—
1327C2×Q8C2×#4114yes—
1328C2×Q8C2×#4114yes—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—28no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4C22×D418yes—
1399C2×D4C22×D414yes—
1400C2×D4C22×D418yes—
1401C2×D4C22×D4116yes—
1402C2×D4C22×D418yes—
1403C2×D4C22×D4116yes—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—28no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—28no—
1444C22×C4—22no—
1445C22×C4—28no—
1446C22×C4—28no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—41no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—44no—
1468C22×C4—41no—
1469C22×C4—42no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4C22×D418yes—
1478C22×C4C22×D4116yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2514yes—
1487C22×C4C2514yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—41no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4C22×D414yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C2×#4118yes—
1562C4⋊C4C2×#4118yes—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—44no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—41no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4C22×D4116yes—
1627C22⋊C4C22×D418yes—
1628C42—24no—
1629C42—24no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—24no—
1634C42—22no—
1635C42—24no—
1636C42—28no—
1637C42—24no—
1638C42—22no—
1639C42—24no—
1640C42—22no—
1641C42—24no—
1642C42—28no—
1643C42—24no—
1644C42—28no—
1645C42—22no—
1646C42—24no—
1647C42—24no—
1648C42—22no—
1649C42—22no—
1650C42—42no—
1651C42—42no—
1652C42—44no—
1653C42—41no—
1654C42—41no—
1655C42—44no—
1656C42C22×D414yes—
1657C42C22×D418yes—
1658C42C2×#4114yes—
1659C23—24no—
1660C23—22no—
1661C23—22no—
1662C23—24no—
1663C23—24no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23C23×D414yes—
1700C23C23×D418yes—
1701C23C2611yescharacteristic
1702Q8—28no—
1703Q8—28no—
1704Q8—28no—
1705Q8—48no—
1706Q8—84no—
1707Q8—88no—
1708D4—28no—
1709D4—216no—
1710D4—216no—
1711D4—416no—
1712D4—48no—
1713D4—416no—
1714D4—48no—
1715D4—48no—
1716D4—416no—
1717D4—416no—
1718D4—44no—
1719D4—48no—
1720D4—44no—
1721D4—44no—
1722D4—84no—
1723D4—84no—
1724D4—88no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—88no—
1730D4—84no—
1731D4—84no—
1732D4—84no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
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—21no—
1750C2×C4—21no—
1751C2×C4—216no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—416no—
1807C2×C4—44no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—416no—
1811C2×C4—48no—
1812C2×C4—416no—
1813C2×C4—48no—
1814C2×C4—416no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—82no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—84no—
1829C2×C4—164no—
1830C2×C4C23×D414yes—
1831C2×C4C23×D414yes—
1832C2×C4C23×D414yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D412yes—
1836C2×C4C22×#4112yes—
1837C2×C4C22×#4112yes—
1838C2×C4C22×#4114yes—
1839C2×C4C22×#4114yes—
1840C2×C4C22×#4112yes—
1841C2×C4#58512yes—
1842C2×C4#58512yes—
1843C2×C4#58512yes—
1844C2×C4#58512yes—
1845C22—24no—
1846C22—28no—
1847C22—24no—
1848C22—28no—
1849C22—24no—
1850C22—28no—
1851C22—44no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—41no—
1860C22—42no—
1861C22—41no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—41no—
1866C22—41no—
1867C22—42no—
1868C22—41no—
1869C22—41no—
1870C22—42no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—42no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—41no—
1885C22—41no—
1886C22—42no—
1887C22C24×D411yescharacteristic
1888C22C23×#4111yescharacteristic
1889C22C2×#58511yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22C2×#58511yescharacteristic
1892C22C2×#58511yescharacteristic
1893C22H(7,𝔽2)11yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—24no—
1897C4—22no—
1898C4—24no—
1899C4—24no—
1900C4—22no—
1901C4—24no—
1902C4—24no—
1903C4—44no—
1904C4—42no—
1905C4—41no—
1906C4—42no—
1907C4—44no—
1908C4—41no—
1909C4—41no—
1910C4—44no—
1911C4—42no—
1912C4—41no—
1913C4—42no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—41no—
1919C4—41no—
1920C4—42no—
1921C4D4×#4114yes—
1922C4#348514yes—
1923C2—44no—
1924C2—48no—
1925C2—82no—
1926C2—81no—
1927C2—81no—
1928C2—82no—
1929C2C2×D4×#4111yescharacteristic
1930C2C2×#348511yescharacteristic
1931C2#6279311yescharacteristic
1932C2#6293711yescharacteristic
1933C2#6298711yescharacteristic
1934C2#6300611yescharacteristic
1935C2#6303111yescharacteristic
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×#3517C2semidirect
2. C2×#3483C2semidirect
3. #59815C2semidirect
4. #59810C2semidirect
5. #59141C2semidirect
6. #59119C2semidirect
7. #59097C2semidirect
8. #59039C2semidirect
9. #59033C2semidirect
10. #59033C2semidirect
11. #45387C2semidirect
12. #44895C2semidirect
13. #44457C2semidirect
14. #43547C2semidirect
15. #39961C2semidirect
16. #39865C2semidirect
17. #39619C2semidirect
18. #39125C2semidirect
19. #37822C2semidirect
20. #37764C2semidirect
21. #36505C2semidirect
22. #36436C2semidirect
23. #36415C2semidirect
24. #36411C2semidirect
25. #36404C2semidirect
26. #36217C2semidirect
27. #36149C2semidirect
28. #36139C2semidirect
29. #36062C2semidirect
30. #36011C2semidirect
31. #34744C2semidirect
32. #34727C2semidirect
33. #34330C2semidirect
34. #34289C2semidirect
35. C4×#547C2semidirect
325. #550D4semidirect
939. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34832
#598152
#598102
#591412
#591192
#590972
#590392
#590332
#453872
#448952
#444572
#435472
#399612
#398652
#396192
#391252
#378222
#377642
#365052
#364362
#364152
#364112
#364042
#362172
#361492
#361392
#360622
#360112
#347442
#347272
#343302
#342892
C4×#5472