Finite Group Databasebeta

← #7681705

Subgroups — #7681705

Order 512.

7398 conjugacy classes of subgroups.

The subgroup lattice has 1744 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#59810C212yesmaximal, complemented
4#59770C212yesmaximal, complemented
5#59315C212yesmaximal, complemented
6#59182C214yesmaximal, complemented
7#59156C214yesmaximal, complemented
8#59051C212yesmaximal, complemented
9#45389C211yesmaximal, characteristic, complemented
10#45387C211yesmaximal, characteristic, complemented
11#45270C211yesmaximal, characteristic, complemented
12#44937C211yesmaximal, characteristic, complemented
13#44935C211yesmaximal, characteristic, complemented
14#44935C211yesmaximal, characteristic, complemented
15#44933C211yesmaximal, characteristic, complemented
16#44931C211yesmaximal, characteristic, complemented
17#44457C214yesmaximal, complemented
18#43900C214yesmaximal, complemented
19#39865C214yesmaximal, complemented
20#38373C214yesmaximal, complemented
21#38369C214yesmaximal, complemented
22#36225C214yesmaximal, complemented
23#35600C212yesmaximal, complemented
24#35571C212yesmaximal, complemented
25#35210C211yesmaximal, characteristic, complemented
26#35156C212yesmaximal, complemented
27#34909C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34289C212yesmaximal, complemented
30#34222C211yesmaximal, characteristic, complemented
31#34070C211yesmaximal, characteristic, complemented
32#3517—216no—
33#3483—216no—
34C2×Q82C2211yescharacteristic
35C2×#557C2211yescharacteristic
36C2×#555C2214yes—
37C2×#555C2211yescharacteristic
38C2×#555C2212yes—
39C2×#555C2212yes—
40C2×#553C2212yes—
41C2×#553C2214yes—
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2212yes—
45C2×#550C2212yes—
46C2×#550C2211yescharacteristic
47C2×#550C2212yes—
48C2×#550C2212yes—
49C2×#550C2211yescharacteristic
50C2×#547C2211yescharacteristic
51C2×#547C2212yes—
52C2×#547C2212yes—
53C2×#540C2212yes—
54C2×#540C2214yes—
55C2×#532C2212yes—
56C2×#532C2211yescharacteristic
57C2×#532C2212yes—
58C2×#532C2214yes—
59C2×#532C2212yes—
60C2×#532C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2211yescharacteristic
63C2×#520C2212yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2211yescharacteristic
67C2×C4×#41C2212yes—
68C2×C4×#41C2212yes—
69#2854C2214yes—
70#2853C2214yes—
71#2852C2214yes—
72#2734C2214yes—
73#2731C2214yes—
74#2730C2214yes—
75#2729C2214yes—
76#2717C2214yes—
77#2713C2214yes—
78#2711C2214yes—
79#2709C2214yes—
80#2688C2214yes—
81#2688C2214yes—
82#2688C2214yes—
83#2686C2214yes—
84#2674C2214yes—
85#2673C2214yes—
86#2673C2214yes—
87#2673C2214yes—
88#2673C2214yes—
89#2673C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2671C2214yes—
94#2671C2214yes—
95#2671C2214yes—
96#2638C2212yes—
97#2635C2214yes—
98#2635C2212yes—
99#2630C2214yes—
100#2611C2212yes—
101#2611C2212yes—
102#2610C2212yes—
103#2610C2212yes—
104#2604C2212yes—
105#2603C2212yes—
106#2602C2214yes—
107#2602C2214yes—
108#2600C2214yes—
109#2600C2214yes—
110#2599C2212yes—
111#2598C2212yes—
112#2581C2211yescharacteristic
113#2581C2211yescharacteristic
114#2580C2211yescharacteristic
115#2580C2211yescharacteristic
116#2579C2214yes—
117#2564C2212yes—
118#2559C2214yes—
119#2557C2214yes—
120#2555C2214yes—
121#2555C2214yes—
122#2550C2212yes—
123#2544C2214yes—
124#2543C2212yes—
125#2543C2214yes—
126#2543C2214yes—
127#2541C2214yes—
128#2541C2212yes—
129#2541C2212yes—
130#2536C2211yescharacteristic
131#2536C2211yescharacteristic
132#2535C2212yes—
133#2535C2211yescharacteristic
134#2535C2211yescharacteristic
135#2521C2214yes—
136#2498C2212yes—
137#2491C2212yes—
138#2490C2212yes—
139#2485C2212yes—
140#2485C2212yes—
141#2478C2214yes—
142#2476C2214yes—
143#2476C2214yes—
144#2476C2214yes—
145#2475C2214yes—
146#2474C2214yes—
147#2471C2214yes—
148#2470C2214yes—
149#2466C2214yes—
150#2464C2214yes—
151#2464C2214yes—
152#2464C2214yes—
153#2462C2214yes—
154#2461C2214yes—
155#2461C2214yes—
156#2459C2214yes—
157#2458C2214yes—
158#2456C2214yes—
159#2456C2214yes—
160#2456C2214yes—
161#2455C2214yes—
162#2453C2212yes—
163#2451C2212yes—
164#2448C2214yes—
165#2446C2214yes—
166#2445C2212yes—
167#2445C2212yes—
168#2444C2214yes—
169#2444C2214yes—
170#2443C2214yes—
171#2443C2214yes—
172#2441C2212yes—
173#2440C2212yes—
174#2432C2214yes—
175#2431C2212yes—
176#2431C2214yes—
177#2431C2212yes—
178#2431C2214yes—
179#2430C2214yes—
180#2430C2214yes—
181#2430C2212yes—
182#2430C2214yes—
183#2430C2214yes—
184#2430C2214yes—
185#2428C2214yes—
186#2428C2214yes—
187#2428C2214yes—
188#2428C2212yes—
189#2428C2212yes—
190#2427C2214yes—
191#2426C2212yes—
192#2426C2212yes—
193#2425C2214yes—
194#2425C2214yes—
195#2422C2212yes—
196#2422C2212yes—
197#2416C2212yes—
198#2416C2214yes—
199#2414C2212yes—
200#2407C2212yes—
201#2407C2214yes—
202#2407C2212yes—
203#2407C2212yes—
204#2407C2212yes—
205#2406C2214yes—
206#2399C2211yescharacteristic
207#2398C2211yescharacteristic
208#2398C2211yescharacteristic
209#2397C2211yescharacteristic
210#2395C2212yes—
211#2388C2212yes—
212#2372C2214yes—
213#2365C2212yes—
214#2364C2214yes—
215#2364C2214yes—
216#2364C2214yes—
217#2362C2212yes—
218#2361C2214yes—
219#2360C2212yes—
220#2359C2214yes—
221#2359C2214yes—
222#2359C2214yes—
223#2359C2214yes—
224#2353C2214yes—
225#2352C2212yes—
226#2349C2212yes—
227#2344C2214yes—
228#2339C2212yes—
229#2339C2212yes—
230#2339C2214yes—
231#2331C2211yescharacteristic
232#2331C2211yescharacteristic
233#2328C2211yescharacteristic
234#2328C2211yescharacteristic
235#2328C2211yescharacteristic
236#2328C2211yescharacteristic
237#2327C2211yescharacteristic
238#2327C2211yescharacteristic
239#2326C2211yescharacteristic
240#2326C2211yescharacteristic
241#2326C2211yescharacteristic
242#2326C2211yescharacteristic
243#2325C2214yes—
244#2325C2214yes—
245#2325C2214yes—
246#2324C2212yes—
247#2323C2212yes—
248#2322C2214yes—
249#2319C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×#123C2214yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yes—
255C4×#121C2212yes—
256C4×#121C2212yes—
257#2297C2211yescharacteristic
258#2297C2211yescharacteristic
259#2290C2212yes—
260#2290C2214yes—
261#2290C2214yes—
262#2290C2214yes—
263#2290C2212yes—
264C2×#387C2214yes—
265#2285C2211yescharacteristic
266#2283C2211yescharacteristic
267#2275C2212yes—
268C2×#376C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2312yes—
275C22×#41C2314yes—
276C22×#41C2312yes—
277C22×#41C2312yes—
278C22×#41C2312yes—
279Q82—28no—
280#557—28no—
281#555—28no—
282#555—232no—
283#555—216no—
284#555—216no—
285#553—216no—
286#553—232no—
287#550—216no—
288#550—28no—
289#550—28no—
290#550—28no—
291#550—28no—
292#550—216no—
293#550—216no—
294#550—216no—
295#547—216no—
296#547—28no—
297#547—216no—
298#540—232no—
299#540—216no—
300#532—232no—
301#532—28no—
302#532—216no—
303#532—216no—
304#532—216no—
305#532D4116yescomplemented
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#127C2314yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2314yes—
320C2×#127C2311yescharacteristic
321#529—216no—
322#529—28no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387#520—216no—
388C4×#41—216no—
389C4×#41—216no—
390C4×#41—28no—
391C4×#41—28no—
392C4×#41—28no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2314yes—
443C2×#117C2314yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2314yes—
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C22×C4⋊C4C2314yes—
453C22×C4⋊C4C2314yes—
454C22×C4⋊C4C2312yes—
455C22×C42C2312yes—
456C22×C42C2314yes—
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2314yes—
467#399C2312yes—
468#399C2312yes—
469#399C2312yes—
470#399C2312yes—
471#399C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2312yes—
495#395C2312yes—
496#395C2312yes—
497#395C2312yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#393C2312yes—
526#393C2312yes—
527#393C2312yes—
528#393C2312yes—
529#393C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
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#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#383C2312yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758#376C2311yescharacteristic
759#376C2311yescharacteristic
760#376C2311yescharacteristic
761#376C2311yescharacteristic
762#376C2312yes—
763#376C2312yes—
764#376C2312yes—
765C2×#95C2312yes—
766C2×#95C2312yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C2×#95C2314yes—
770C2×#95C2314yes—
771C2×#41—28no—
772C2×#41—24no—
773C2×#41—24no—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—28no—
778C2×#41—28no—
779C2×#41—28no—
780C2×#41—24no—
781C2×#41—24no—
782C2×#41—24no—
783C2×#41—216no—
784C2×#41—42no—
785C2×#41—42no—
786C2×#41—44no—
787C2×#41—44no—
788C2×#41—44no—
789C2×#41—48no—
790C2×#41—84no—
791C2×#41—84no—
792C2×#41—84no—
793C2×#41—84no—
794C2×#41—84no—
795C2×#41C2×D4116yes—
796C22×Q8C2411yescharacteristic
797C22×Q8C2411yescharacteristic
798C22×Q8C2411yescharacteristic
799C22×Q8C2411yescharacteristic
800C22×Q8C2414yes—
801C22×Q8C2412yes—
802C22×D4C2411yescharacteristic
803C22×D4C2411yescharacteristic
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2411yescharacteristic
812C22×D4C2414yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C4⋊Q8—28no—
853C4⋊Q8—216no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8C2×D418yes—
857C4⋊Q8#4118yescomplemented
858#127—216no—
859#127—28no—
860#127—28no—
861#127—28no—
862#127—216no—
863#127—28no—
864#127—24no—
865#127—84no—
866#127C2×D418yes—
867#126—216no—
868#126—28no—
869#125—216no—
870#125—28no—
871#125—24no—
872#124—216no—
873#124—24no—
874#124—24no—
875#124—216no—
876#124—216no—
877#124—216no—
878#124—24no—
879#124—84no—
880#124C2×D4116yes—
881#123—216no—
882#123—28no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—216no—
887#123—216no—
888#123—48no—
889#123—48no—
890#123—84no—
891#123—84no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—84no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—216no—
901#121—216no—
902#121—216no—
903#121—216no—
904#121—216no—
905#121—216no—
906#121—216no—
907#121—28no—
908#121—216no—
909#121—24no—
910#121—216no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—216no—
915#121—216no—
916#121—216no—
917#121—216no—
918#121—216no—
919#121—216no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—84no—
927#121—84no—
928#121—84no—
929#121C2×D4116yes—
930#121C2×D4116yes—
931C4×Q8—28no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—28no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—216no—
947C4×D4—216no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—216no—
955C4×D4—28no—
956C4×D4—216no—
957C4×D4—216no—
958C4×D4—216no—
959C4×D4—216no—
960C4×D4—216no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—84no—
975C4×D4—84no—
976C4×D4C2×D4116yes—
977C4×D4C2×D4116yes—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—28no—
982#117—28no—
983#117—216no—
984#117—216no—
985#117—216no—
986#117—28no—
987#117—28no—
988#117—28no—
989#117—28no—
990C2×C4⋊C4—216no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—216no—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C42—216no—
1099C2×C42—28no—
1100C2×C42—28no—
1101C2×C42—28no—
1102C2×C42—24no—
1103C2×C42—42no—
1104C2×C42C2×D418yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2514yes—
1184C24C2511yescharacteristic
1185#41—416no—
1186#41—416no—
1187#41—432no—
1188#41—432no—
1189#41—416no—
1190#41—432no—
1191#41—816no—
1192#41—832no—
1193#41—816no—
1194#41—816no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—28no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8C22×D418yes—
1208C2×Q8C2×#4114yes—
1209C2×Q8C2×#4114yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4C22×D418yes—
1284C2×D4C22×D418yes—
1285C2×D4C22×D418yes—
1286C2×D4C22×D4116yes—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4C22×D414yes—
1347C22×C4C22×D4116yes—
1348C22×C4C22×D414yes—
1349C22×C4C22×D414yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—22no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4C22×D418yes—
1418C4⋊C4C22×D418yes—
1419C4⋊C4C2×#41116yes—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4C22×D4116yes—
1479C22⋊C4C22×D4116yes—
1480C42—24no—
1481C42—24no—
1482C42—28no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—28no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—28no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—42no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42C22×D414yes—
1502C42C22×D414yes—
1503C42C22×D414yes—
1504C42C22×D414yes—
1505C42C2×#4114yes—
1506C23—24no—
1507C23—21no—
1508C23—24no—
1509C23—24no—
1510C23—21no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23C23×D412yes—
1541C23C23×D418yes—
1542C23C2611yescharacteristic
1543Q8—28no—
1544Q8—28no—
1545Q8—28no—
1546Q8—48no—
1547Q8—44no—
1548Q8—88no—
1549D4—216no—
1550D4—48no—
1551D4—416no—
1552D4—48no—
1553D4—48no—
1554D4—416no—
1555D4—48no—
1556D4—48no—
1557D4—416no—
1558D4—416no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—84no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—84no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—164no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—28no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—416no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—416no—
1638C2×C4—416no—
1639C2×C4—416no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—84no—
1647C2×C4—88no—
1648C2×C4—84no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—164no—
1653C2×C4C23×D412yes—
1654C2×C4C23×D412yes—
1655C2×C4C23×D412yes—
1656C2×C4C23×D418yes—
1657C2×C4C23×D412yes—
1658C2×C4C23×D412yes—
1659C2×C4C23×D412yes—
1660C2×C4C22×#4114yes—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4112yes—
1664C2×C4#58514yes—
1665C2×C4#58512yes—
1666C22—22no—
1667C22—28no—
1668C22—28no—
1669C22—22no—
1670C22—22no—
1671C22—28no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22C24×D411yescharacteristic
1703C22C23×#4111yescharacteristic
1704C22C2×#58512yes—
1705C22C2×#58511yescharacteristic
1706C22H(7,𝔽2)12yes—
1707C4—24no—
1708C4—22no—
1709C4—22no—
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—28no—
1714C4—22no—
1715C4—24no—
1716C4—24no—
1717C4—42no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4D4×#4114yes—
1732C2—48no—
1733C2—42no—
1734C2—82no—
1735C2—82no—
1736C2—82no—
1737C2—82no—
1738C2C2×D4×#4111yescharacteristic
1739C2#6281111yescharacteristic
1740C2#6284211yescharacteristic
1741C2#6293712yes—
1742C2#6300612yes—
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. #59810C2semidirect
4. #59770C2semidirect
5. #59315C2semidirect
6. #59182C2semidirect
7. #59156C2semidirect
8. #59051C2semidirect
9. #45389C2semidirect
10. #45387C2semidirect
11. #45270C2semidirect
12. #44937C2semidirect
13. #44935C2semidirect
14. #44935C2semidirect
15. #44933C2semidirect
16. #44931C2semidirect
17. #44457C2semidirect
18. #43900C2semidirect
19. #39865C2semidirect
20. #38373C2semidirect
21. #38369C2semidirect
22. #36225C2semidirect
23. #35600C2semidirect
24. #35571C2semidirect
25. #35210C2semidirect
26. #35156C2semidirect
27. #34909C2semidirect
28. #34876C2semidirect
29. #34289C2semidirect
30. #34222C2semidirect
31. #34070C2semidirect
305. #532D4semidirect
857. 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
#598102
#597702
#593152
#591822
#591562
#590512
#453892
#453872
#452702
#449372
#449352
#449332
#449312
#444572
#439002
#398652
#383732
#383692
#362252
#356002
#355712
#352102
#351562
#349092
#348762
#342892
#342222
#340702