Finite Group Databasebeta

← #7669927

Subgroups — #7669927

Order 512.

7346 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3483C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#52167C214yesmaximal, complemented
4#52139C214yesmaximal, complemented
5#45389C211yesmaximal, characteristic, complemented
6#45388C211yesmaximal, characteristic, complemented
7#45387C211yesmaximal, characteristic, complemented
8#45386C212yesmaximal, complemented
9#45385C212yesmaximal, complemented
10#45354C211yesmaximal, characteristic, complemented
11#45338C211yesmaximal, characteristic, complemented
12#45270C211yesmaximal, characteristic, complemented
13#45241C212yesmaximal, complemented
14#45141C211yesmaximal, characteristic, complemented
15#44935C211yesmaximal, characteristic, complemented
16#44906C212yesmaximal, complemented
17#44679C214yesmaximal, complemented
18#44275C214yesmaximal, complemented
19#43547C214yesmaximal, complemented
20#43117C214yesmaximal, complemented
21#34971C211yesmaximal, characteristic, complemented
22#34909C211yesmaximal, characteristic, complemented
23#34889C212yesmaximal, complemented
24#34744C214yesmaximal, complemented
25#34735C214yesmaximal, complemented
26#34724C212yesmaximal, complemented
27#34715C212yesmaximal, complemented
28#34547C211yesmaximal, characteristic, complemented
29C4×#547C212yesmaximal, complemented
30C4×#536C211yesmaximal, characteristic, complemented
31#34086C211yesmaximal, characteristic, complemented
32#3483—216no—
33#3480—216no—
34C2×#559C2211yescharacteristic
35C2×#559C2212yes—
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2212yes—
40C2×#555C2212yes—
41C2×#555C2212yes—
42C2×#555C2211yescharacteristic
43C2×#555C2214yes—
44C2×#553C2214yes—
45C2×#553C2212yes—
46C2×#550C2211yescharacteristic
47C2×#550C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#550C2212yes—
51C2×#548C2212yes—
52C2×#547C2212yes—
53C2×#536C2211yescharacteristic
54C2×#532C2212yes—
55C2×#532C2212yes—
56C2×#532C2214yes—
57C2×#532C2212yes—
58C2×#532C2211yescharacteristic
59C2×#529C2212yes—
60C2×#529C2214yes—
61C2×C4×#41C2211yescharacteristic
62C2×C4×#41C2211yescharacteristic
63C2×C4×#41C2212yes—
64C2×C4×#41C2212yes—
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2212yes—
67C2×C4×#41C2212yes—
68C22×C4×Q8C2211yescharacteristic
69#2734C2214yes—
70#2733C2214yes—
71#2731C2214yes—
72#2731C2214yes—
73#2716C2214yes—
74#2715C2214yes—
75#2714C2214yes—
76#2713C2214yes—
77#2712C2214yes—
78#2711C2214yes—
79#2710C2214yes—
80#2709C2214yes—
81#2708C2214yes—
82#2703C2214yes—
83#2700C2214yes—
84#2699C2214yes—
85#2699C2214yes—
86#2691C2214yes—
87#2688C2214yes—
88#2686C2214yes—
89#2686C2214yes—
90#2686C2214yes—
91#2686C2214yes—
92#2682C2214yes—
93#2682C2214yes—
94#2681C2214yes—
95#2676C2214yes—
96#2673C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2600C2214yes—
102#2599C2212yes—
103#2599C2214yes—
104#2598C2212yes—
105#2581C2211yescharacteristic
106#2581C2211yescharacteristic
107#2581C2211yescharacteristic
108#2580C2211yescharacteristic
109#2559C2214yes—
110#2557C2214yes—
111#2550C2212yes—
112#2544C2212yes—
113#2540C2212yes—
114#2536C2211yescharacteristic
115#2536C2211yescharacteristic
116#2536C2211yescharacteristic
117#2535C2212yes—
118#2535C2211yescharacteristic
119#2521C2214yes—
120#2492C2212yes—
121#2490C2212yes—
122#2486C2212yes—
123#2485C2212yes—
124#2484C2212yes—
125#2479C2214yes—
126#2478C2214yes—
127#2478C2214yes—
128#2476C2214yes—
129#2475C2214yes—
130#2474C2214yes—
131#2474C2214yes—
132#2470C2214yes—
133#2469C2214yes—
134#2468C2214yes—
135#2466C2214yes—
136#2464C2214yes—
137#2462C2214yes—
138#2461C2214yes—
139#2459C2214yes—
140#2456C2214yes—
141#2455C2214yes—
142#2453C2212yes—
143#2451C2212yes—
144#2449C2214yes—
145#2448C2214yes—
146#2448C2214yes—
147#2447C2214yes—
148#2447C2214yes—
149#2447C2212yes—
150#2446C2214yes—
151#2446C2214yes—
152#2445C2212yes—
153#2445C2214yes—
154#2445C2214yes—
155#2444C2214yes—
156#2444C2214yes—
157#2444C2214yes—
158#2444C2214yes—
159#2443C2214yes—
160#2443C2214yes—
161#2443C2214yes—
162#2443C2214yes—
163#2443C2214yes—
164#2441C2212yes—
165#2439C2212yes—
166#2438C2214yes—
167#2432C2212yes—
168#2431C2212yes—
169#2430C2214yes—
170#2429C2212yes—
171#2428C2212yes—
172#2427C2212yes—
173#2426C2212yes—
174#2425C2214yes—
175#2422C2212yes—
176#2420C2212yes—
177#2419C2214yes—
178#2415C2212yes—
179#2414C2212yes—
180#2413C2214yes—
181#2409C2212yes—
182#2407C2212yes—
183#2407C2212yes—
184#2407C2212yes—
185#2406C2214yes—
186#2406C2212yes—
187#2399C2211yescharacteristic
188#2399C2212yes—
189#2398C2211yescharacteristic
190#2398C2211yescharacteristic
191#2398C2212yes—
192#2397C2211yescharacteristic
193#2396C2212yes—
194#2396C2212yes—
195#2395C2212yes—
196#2395C2214yes—
197#2395C2212yes—
198#2395C2214yes—
199#2395C2212yes—
200#2392C2212yes—
201#2392C2212yes—
202#2392C2214yes—
203#2392C2214yes—
204#2392C2212yes—
205#2392C2212yes—
206#2388C2214yes—
207#2388C2212yes—
208#2388C2212yes—
209#2388C2214yes—
210#2388C2212yes—
211#2365C2212yes—
212#2362C2212yes—
213#2362C2212yes—
214#2361C2214yes—
215#2359C2214yes—
216#2359C2214yes—
217#2354C2212yes—
218D4×C4⋊C4C2212yes—
219#2344C2214yes—
220#2339C2212yes—
221#2339C2212yes—
222#2337C2214yes—
223#2333C2214yes—
224#2331C2211yescharacteristic
225#2331C2211yescharacteristic
226#2328C2211yescharacteristic
227#2328C2211yescharacteristic
228#2327C2211yescharacteristic
229#2327C2211yescharacteristic
230#2326C2211yescharacteristic
231#2326C2211yescharacteristic
232#2324C2212yes—
233#2324C2212yes—
234#2323C2214yes—
235#2322C2214yes—
236#2317C2211yescharacteristic
237#2311C2211yescharacteristic
238#2310C2211yescharacteristic
239C4×C4⋊Q8C2211yescharacteristic
240C4×C4⋊Q8C2211yescharacteristic
241C4×#124C2211yescharacteristic
242C4×#124C2211yescharacteristic
243C4×C22⋊Q8C2214yes—
244C4×C22⋊Q8C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×#123C2214yes—
248C4×#123C2214yes—
249C4×#123C2214yes—
250C4×#123C2214yes—
251C4×#123C2214yes—
252C4×#123C2214yes—
253C4×#121C2212yes—
254C4×#121C2214yes—
255C4×#121C2214yes—
256#2297C2214yes—
257#2297C2214yes—
258#2297C2214yes—
259#2296C2214yes—
260#2293C2212yes—
261#2290C2214yes—
262#2290C2214yes—
263#2283C2211yescharacteristic
264C42×D4C2212yes—
265C42×D4C2212yes—
266C42×D4C2212yes—
267C4×#117C2211yescharacteristic
268C2×C4×C4⋊C4C2214yes—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2314yes—
275C22×#41C2312yes—
276C22×#41C2312yes—
277C23×Q8C2311yescharacteristic
278#559—28no—
279#559—216no—
280Q82—28no—
281#557—28no—
282#556—28no—
283#556—216no—
284#555—28no—
285#555—232no—
286#555—216no—
287#555—216no—
288#553—216no—
289#553—232no—
290#550—28no—
291#550—28no—
292#550—28no—
293#550—216no—
294#550—216no—
295#548—216no—
296#547—216no—
297#536—28no—
298#532—216no—
299#532—232no—
300#532—216no—
301#532—216no—
302#532D4116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2314yes—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315#529—232no—
316#529—216no—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C4×#41—216no—
368C4×#41—216no—
369C4×#41—216no—
370C4×#41—216no—
371C4×#41—28no—
372C4×#41—28no—
373C4×#41—28no—
374C2×C4×Q8—28no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2314yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2311yescharacteristic
439C2×#117C2314yes—
440C2×#117C2311yescharacteristic
441C2×#117C2314yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2314yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2314yes—
448C22×C4⋊C4C2314yes—
449C22×C42C2312yes—
450C22×C42C2314yes—
451C22×C42C2312yes—
452C22×C42C2314yes—
453C22×C42C2312yes—
454C22×C42C2312yes—
455C22×C42C2314yes—
456C22×C42C2311yescharacteristic
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2314yes—
463#400C2314yes—
464#399C2312yes—
465#399C2312yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2312yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2312yes—
480#398C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2312yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#395C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2314yes—
511#395C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#393C2312yes—
542#393C2314yes—
543#393C2312yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#392C2312yes—
548#392C2314yes—
549#392C2312yes—
550#392C2312yes—
551#392C2312yes—
552#392C2312yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2314yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#391C2314yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#383C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#381C2314yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2312yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764#376C2311yescharacteristic
765#376C2311yescharacteristic
766#376C2312yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C43C2311yescharacteristic
770C43C2311yescharacteristic
771C2×#41—24no—
772C2×#41—28no—
773C2×#41—28no—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—24no—
778C2×#41—24no—
779C2×#41—24no—
780C2×#41—216no—
781C2×#41—48no—
782C2×#41—44no—
783C2×#41—48no—
784C2×#41—48no—
785C2×#41—42no—
786C2×#41—48no—
787C2×#41—44no—
788C2×#41—44no—
789C2×#41—44no—
790C2×#41C2×D4116yes—
791C22×Q8—24no—
792C22×Q8—24no—
793C22×Q8—42no—
794C22×Q8C2411yescharacteristic
795C22×Q8C2411yescharacteristic
796C22×Q8C2412yes—
797C22×Q8C2411yescharacteristic
798C22×Q8C2411yescharacteristic
799C22×Q8C2411yescharacteristic
800C22×Q8C2414yes—
801C22×Q8C2412yes—
802C22×D4C2411yescharacteristic
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2411yescharacteristic
812C22×D4C2411yescharacteristic
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C4⋊Q8—216no—
844C4⋊Q8—28no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8C2×D418yes—
849C4⋊Q8#4118yescomplemented
850#127—216no—
851#127—28no—
852#127—28no—
853#127—28no—
854#127C2×D418yes—
855#126—216no—
856#126—216no—
857#126—216no—
858#125—216no—
859#125—28no—
860#124—216no—
861#124—28no—
862#124—24no—
863#124—28no—
864#124—216no—
865#124—28no—
866#124—216no—
867#124—216no—
868#124—216no—
869#124—24no—
870#124C2×D4116yes—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—216no—
876#123—216no—
877#123—48no—
878#123—48no—
879#123—48no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—44no—
886#121—28no—
887#121—216no—
888#121—216no—
889#121—28no—
890#121—28no—
891#121—216no—
892#121—216no—
893#121—216no—
894#121—216no—
895#121—216no—
896#121—28no—
897#121—28no—
898#121—216no—
899#121—216no—
900#121—216no—
901#121—48no—
902#121—44no—
903#121C2×D4116yes—
904#121C2×D4116yes—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—28no—
910C4×Q8—24no—
911C4×Q8—28no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×D4—216no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—216no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—216no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—216no—
940C4×D4—216no—
941C4×D4—216no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4C2×D4116yes—
958C4×D4C2×D4116yes—
959#117—24no—
960#117—216no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—28no—
965#117—28no—
966#117—216no—
967#117—216no—
968#117—216no—
969#117—28no—
970#117—28no—
971#117—28no—
972#117—24no—
973#117—48no—
974#117—42no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—216no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C42—28no—
1086C2×C42—216no—
1087C2×C42—216no—
1088C2×C42—28no—
1089C2×C42—28no—
1090C2×C42—28no—
1091C2×C42—48no—
1092C2×C42C2×D418yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2514yes—
1178#41—432no—
1179#41—416no—
1180#41—416no—
1181#41—432no—
1182#41—432no—
1183#41—416no—
1184#41—432no—
1185#41—832no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—28no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—416no—
1205C2×Q8C22×D418yes—
1206C2×Q8C2×#4114yes—
1207C2×Q8C2×#4114yes—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4C22×D418yes—
1261C2×D4C22×D4116yes—
1262C2×D4C22×D418yes—
1263C2×D4C22×D418yes—
1264C22×C4—22no—
1265C22×C4—28no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4C22×D414yes—
1319C22×C4C22×D4116yes—
1320C22×C4C22×D414yes—
1321C22×C4C22×D414yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—28no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4C22×D418yes—
1396C4⋊C4C22×D418yes—
1397C4⋊C4C2×#41116yes—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4C22×D4116yes—
1453C22⋊C4C22×D4116yes—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—28no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—28no—
1463C42—24no—
1464C42—28no—
1465C42—24no—
1466C42—28no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—28no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—42no—
1481C42C22×D414yes—
1482C42C22×D414yes—
1483C42C22×D414yes—
1484C42C22×D414yes—
1485C42C2×#4114yes—
1486C23—21no—
1487C23—24no—
1488C23—21no—
1489C23—24no—
1490C23—22no—
1491C23—24no—
1492C23—24no—
1493C23—24no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—24no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23C23×D418yes—
1516C23C23×D412yes—
1517C23C2611yescharacteristic
1518Q8—28no—
1519Q8—28no—
1520Q8—28no—
1521Q8—48no—
1522Q8—48no—
1523Q8—44no—
1524Q8—44no—
1525Q8—88no—
1526D4—216no—
1527D4—48no—
1528D4—416no—
1529D4—48no—
1530D4—48no—
1531D4—416no—
1532D4—48no—
1533D4—416no—
1534D4—416no—
1535D4—48no—
1536D4—44no—
1537D4—44no—
1538D4—48no—
1539D4—48no—
1540D4—44no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—88no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—28no—
1562C2×C4—28no—
1563C2×C4—232no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—416no—
1610C2×C4—416no—
1611C2×C4—416no—
1612C2×C4—416no—
1613C2×C4—48no—
1614C2×C4—48no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—84no—
1620C2×C4—88no—
1621C2×C4—84no—
1622C2×C4—88no—
1623C2×C4C23×D412yes—
1624C2×C4C23×D412yes—
1625C2×C4C23×D418yes—
1626C2×C4C23×D412yes—
1627C2×C4C23×D412yes—
1628C2×C4C23×D412yes—
1629C2×C4C23×D412yes—
1630C2×C4C22×#4114yes—
1631C2×C4C22×#4114yes—
1632C2×C4C22×#4114yes—
1633C2×C4C22×#4112yes—
1634C2×C4#58514yes—
1635C2×C4#58512yes—
1636C2×C4#58514yes—
1637C22—22no—
1638C22—28no—
1639C22—22no—
1640C22—28no—
1641C22—22no—
1642C22—28no—
1643C22—44no—
1644C22—42no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22C24×D411yescharacteristic
1669C22C23×#4111yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22C2×#58512yes—
1672C22C2×#58512yes—
1673C4—22no—
1674C4—28no—
1675C4—24no—
1676C4—22no—
1677C4—22no—
1678C4—24no—
1679C4—22no—
1680C4—24no—
1681C4—24no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4D4×#4114yes—
1698C4#348514yes—
1699C2—42no—
1700C2—48no—
1701C2—82no—
1702C2—82no—
1703C2—82no—
1704C2C2×D4×#4111yescharacteristic
1705C2#6276212yes—
1706C2C2×#348511yescharacteristic
1707C2#6279312yes—
1708C2#6281111yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3483C2semidirect
2. C2×#3480C2semidirect
3. #52167C2semidirect
4. #52139C2semidirect
5. #45389C2semidirect
6. #45388C2semidirect
7. #45387C2semidirect
8. #45386C2semidirect
9. #45385C2semidirect
10. #45354C2semidirect
11. #45338C2semidirect
12. #45270C2semidirect
13. #45241C2semidirect
14. #45141C2semidirect
15. #44935C2semidirect
16. #44906C2semidirect
17. #44679C2semidirect
18. #44275C2semidirect
19. #43547C2semidirect
20. #43117C2semidirect
21. #34971C2semidirect
22. #34909C2semidirect
23. #34889C2semidirect
24. #34744C2semidirect
25. #34735C2semidirect
26. #34724C2semidirect
27. #34715C2semidirect
28. #34547C2semidirect
29. C4×#547C2semidirect
30. C4×#536C2semidirect
31. #34086C2semidirect
302. #532D4semidirect
849. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34832
C2×#34802
#521672
#521392
#453892
#453882
#453872
#453862
#453852
#453542
#453382
#452702
#452412
#451412
#449352
#449062
#446792
#442752
#435472
#431172
#349712
#349092
#348892
#347442
#347352
#347242
#347152
#345472
C4×#5472
C4×#5362
#340862