Finite Group Databasebeta

← #7699959

Subgroups — #7699959

Order 512.

5486 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59878C214yesmaximal, complemented
3#59858C212yesmaximal, complemented
4#59779C214yesmaximal, complemented
5#59767C212yesmaximal, complemented
6#59726C214yesmaximal, complemented
7#59713C212yesmaximal, complemented
8#59668C211yesmaximal, characteristic, complemented
9#59633C212yesmaximal, complemented
10#59058C212yesmaximal, complemented
11#59056C211yesmaximal, characteristic, complemented
12#59050C211yesmaximal, characteristic, complemented
13#36597C212yesmaximal, complemented
14#36596C211yesmaximal, characteristic, complemented
15#36473C211yesmaximal, characteristic, complemented
16#36471C212yesmaximal, complemented
17#36470C212yesmaximal, complemented
18#36469C211yesmaximal, characteristic, complemented
19#36414C212yesmaximal, complemented
20#36399C214yesmaximal, complemented
21#36373C212yesmaximal, complemented
22#36369C212yesmaximal, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36273C212yesmaximal, complemented
25#36273C211yesmaximal, characteristic, complemented
26#36251C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36115C211yesmaximal, characteristic, complemented
29C4×#555C211yesmaximal, characteristic, complemented
30C4×#555C211yesmaximal, characteristic, complemented
31C4×#555C212yesmaximal, complemented
32C4×#553C211yesmaximal, characteristic, complemented
33#34155C211yesmaximal, characteristic, complemented
34#34151C212yesmaximal, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2212yes—
38C2×#555C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#555C2212yes—
41C2×#553C2211yescharacteristic
42C2×#553C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#529C2212yes—
46#2861C2212yes—
47#2860C2212yes—
48#2860C2214yes—
49#2858C2211yescharacteristic
50#2858C2212yes—
51#2858C2214yes—
52#2857C2211yescharacteristic
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2854C2212yes—
56#2854C2214yes—
57#2850C2212yes—
58#2808C2214yes—
59#2806C2214yes—
60#2803C2214yes—
61#2781C2214yes—
62#2775C2214yes—
63#2733C2214yes—
64#2730C2214yes—
65#2727C2214yes—
66#2714C2214yes—
67#2610C2214yes—
68#2610C2214yes—
69#2610C2214yes—
70#2604C2214yes—
71#2604C2214yes—
72#2603C2214yes—
73#2602C2214yes—
74#2602C2214yes—
75#2602C2214yes—
76#2593C2214yes—
77#2593C2214yes—
78#2592C2212yes—
79#2584C2212yes—
80#2559C2214yes—
81#2557C2214yes—
82#2557C2214yes—
83#2555C2214yes—
84#2555C2214yes—
85#2555C2214yes—
86#2554C2214yes—
87#2554C2214yes—
88#2554C2214yes—
89#2554C2214yes—
90#2554C2214yes—
91#2553C2214yes—
92#2553C2214yes—
93#2552C2211yescharacteristic
94#2551C2212yes—
95#2551C2211yescharacteristic
96#2550C2212yes—
97#2547C2211yescharacteristic
98#2546C2212yes—
99#2545C2214yes—
100#2544C2212yes—
101#2544C2214yes—
102#2543C2214yes—
103#2542C2211yescharacteristic
104#2541C2211yescharacteristic
105#2541C2211yescharacteristic
106#2541C2212yes—
107#2541C2212yes—
108#2540C2212yes—
109#2540C2212yes—
110#2531C2214yes—
111#2531C2214yes—
112#2531C2214yes—
113#2529C2214yes—
114#2529C2214yes—
115#2526C2214yes—
116#2521C2214yes—
117#2521C2214yes—
118#2518C2214yes—
119#2513C2214yes—
120#2512C2212yes—
121#2512C2212yes—
122#2507C2212yes—
123#2507C2212yes—
124#2497C2212yes—
125#2496C2212yes—
126#2492C2212yes—
127#2491C2212yes—
128#2491C2212yes—
129#2491C2214yes—
130#2491C2212yes—
131#2491C2212yes—
132#2490C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2489C2212yes—
136#2485C2212yes—
137#2476C2214yes—
138#2476C2214yes—
139#2474C2214yes—
140#2471C2214yes—
141#2471C2214yes—
142#2467C2214yes—
143#2467C2214yes—
144#2464C2214yes—
145#2459C2214yes—
146#2456C2214yes—
147#2454C2212yes—
148#2451C2214yes—
149#2448C2214yes—
150#2448C2212yes—
151#2445C2212yes—
152#2445C2214yes—
153#2445C2212yes—
154#2441C2212yes—
155#2439C2214yes—
156#2431C2214yes—
157#2428C2212yes—
158#2428C2212yes—
159#2428C2212yes—
160#2428C2214yes—
161#2427C2212yes—
162#2427C2212yes—
163#2426C2212yes—
164#2426C2212yes—
165#2426C2212yes—
166#2426C2212yes—
167#2426C2212yes—
168#2422C2212yes—
169#2416C2212yes—
170#2415C2212yes—
171#2415C2212yes—
172#2414C2212yes—
173#2414C2212yes—
174#2414C2212yes—
175#2414C2212yes—
176#2414C2212yes—
177#2407C2212yes—
178#2374C2214yes—
179#2374C2212yes—
180#2374C2214yes—
181#2373C2214yes—
182#2373C2214yes—
183#2373C2212yes—
184#2372C2214yes—
185#2372C2212yes—
186#2372C2212yes—
187#2372C2214yes—
188#2372C2214yes—
189#2372C2214yes—
190#2370C2212yes—
191#2370C2212yes—
192#2370C2212yes—
193#2370C2211yescharacteristic
194#2369C2211yescharacteristic
195#2369C2211yescharacteristic
196#2369C2212yes—
197#2369C2211yescharacteristic
198#2369C2211yescharacteristic
199#2368C2214yes—
200#2367C2212yes—
201#2367C2212yes—
202#2366C2211yescharacteristic
203#2366C2212yes—
204#2366C2211yescharacteristic
205#2365C2211yescharacteristic
206#2365C2211yescharacteristic
207#2364C2212yes—
208#2363C2211yescharacteristic
209#2363C2214yes—
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2212yes—
214#2363C2214yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2363C2211yescharacteristic
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2211yescharacteristic
225#2362C2212yes—
226#2362C2212yes—
227#2361C2211yescharacteristic
228#2360C2212yes—
229#2360C2212yes—
230#2357C2211yescharacteristic
231#2354C2212yes—
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2353C2212yes—
239#2352C2211yescharacteristic
240#2347C2211yescharacteristic
241#2346C2211yescharacteristic
242#2346C2212yes—
243#2346C2211yescharacteristic
244#2346C2212yes—
245#2346C2212yes—
246#2346C2212yes—
247#2346C2214yes—
248#2345C2211yescharacteristic
249#2341C2212yes—
250C4×C4⋊Q8C2211yescharacteristic
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2212yes—
253C4×#125C2211yescharacteristic
254C4×#126C2212yes—
255C4×#124C2214yes—
256C4×#124C2214yes—
257C4×#124C2212yes—
258C4×#124C2214yes—
259C4×#124C2212yes—
260C4×#123C2212yes—
261C4×#121C2212yes—
262C4×#121C2212yes—
263C4×#121C2211yescharacteristic
264C4×#121C2211yescharacteristic
265C4×#121C2212yes—
266C4×#121C2212yes—
267C4×#121C2212yes—
268C4×#121C2214yes—
269C4×#121C2211yescharacteristic
270C4×#121C2211yescharacteristic
271C4×#121C2212yes—
272#2298C2214yes—
273#2297C2214yes—
274#2296C2212yes—
275#2295C2212yes—
276#2295C2214yes—
277#2295C2212yes—
278#2293C2212yes—
279#2293C2212yes—
280#2293C2214yes—
281#2293C2212yes—
282#2290C2214yes—
283C42×Q8C2212yes—
284C42×D4C2212yes—
285C42×D4C2211yescharacteristic
286C42×D4C2211yescharacteristic
287C42×D4C2212yes—
288C42×D4C2212yes—
289C42×D4C2211yescharacteristic
290C4×#117C2212yes—
291C4×#117C2214yes—
292C4×#117C2212yes—
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#559—48no—
301#556—48no—
302#555—28no—
303#555—28no—
304#555—216no—
305#553—28no—
306#553—48no—
307#533—28no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2314yes—
319#529—216no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2314yes—
377C2×C4×Q8C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2314yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427#400C2314yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2312yes—
688#383C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#381C2312yes—
695#380C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2311yescharacteristic
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2311yescharacteristic
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2311yescharacteristic
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2311yescharacteristic
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2314yes—
817C43C2312yes—
818C43C2314yes—
819C43C2312yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—82no—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—84no—
866C4⋊Q8#4118yes—
867#127—24no—
868#127—44no—
869#127—44no—
870#127—84no—
871#126—216no—
872#126—28no—
873#126—48no—
874#126—48no—
875#126—48no—
876#125—28no—
877#125—44no—
878#125#4118yescomplemented
879#124—28no—
880#124—216no—
881#124—28no—
882#124—216no—
883#124—28no—
884#124—216no—
885#124—28no—
886#124—48no—
887#124—48no—
888#124—44no—
889#124—44no—
890#124—84no—
891#123—216no—
892#123—28no—
893#123—48no—
894#123—48no—
895#123—48no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901#121—24no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—24no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—24no—
913#121—216no—
914#121—28no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—84no—
921#121—82no—
922C4×Q8—28no—
923C4×Q8—28no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—48no—
927C4×Q8—44no—
928C4×Q8—82no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—42no—
953C4×D4—84no—
954#117—216no—
955#117—28no—
956#117—24no—
957#117—28no—
958#117—28no—
959#117—24no—
960#117—28no—
961#117—28no—
962#117—24no—
963#117—28no—
964#117—216no—
965#117—44no—
966#117—42no—
967#117—42no—
968#117—84no—
969#117#4118yescomplemented
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C42—28no—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—48no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2511yescharacteristic
1207C24C2511yescharacteristic
1208#41—816no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—28no—
1213C2×Q8—24no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8C2×#4118yes—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—24no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4C2×#4114yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4C2×#4118yes—
1402C4⋊C4C2×#4118yes—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4C2×#4118yes—
1405C4⋊C4C2×#4114yes—
1406C4⋊C4C2×#4118yes—
1407C4⋊C4H(5,𝔽2)14yes—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—22no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—22no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—22no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—41no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4C2×#4118yes—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—28no—
1483C42—28no—
1484C42—24no—
1485C42—28no—
1486C42—24no—
1487C42—28no—
1488C42—24no—
1489C42—22no—
1490C42—28no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—28no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—24no—
1500C42—24no—
1501C42—44no—
1502C42—44no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—41no—
1513C42—44no—
1514C42—41no—
1515C42—42no—
1516C42—44no—
1517C42C2×#4114yes—
1518C42C2×#4114yes—
1519C42C2×#4118yes—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—24no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—24no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—21no—
1545C23—24no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23C22×#4112yes—
1555C23C2611yescharacteristic
1556Q8—48no—
1557Q8—48no—
1558Q8—84no—
1559Q8—88no—
1560D4—48no—
1561D4—44no—
1562D4—44no—
1563D4—48no—
1564D4—44no—
1565D4—48no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—84no—
1572D4—88no—
1573D4—84no—
1574D4—88no—
1575D4—164no—
1576D4—164no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—48no—
1652C2×C4—416no—
1653C2×C4—416no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—82no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—88no—
1666C2×C4—84no—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4118yes—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4114yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C2×H(5,𝔽2)14yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4#58512yes—
1683C2×C4#58512yes—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—41no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—44no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—41no—
1713C22—44no—
1714C22—42no—
1715C22—44no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22C23×#4111yescharacteristic
1720C22C23×#4111yescharacteristic
1721C22C23×#4111yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—24no—
1727C4—22no—
1728C4—22no—
1729C4—28no—
1730C4—22no—
1731C4—24no—
1732C4—24no—
1733C4—22no—
1734C4—24no—
1735C4—24no—
1736C4—22no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—41no—
1753C4—44no—
1754C4#348014yes—
1755C4#348314yes—
1756C2—42no—
1757C2—81no—
1758C2—84no—
1759C2—82no—
1760C2—82no—
1761C2C2×#348011yescharacteristic
1762C2C2×#348311yescharacteristic
1763C2#41211yescharacteristic
1764C2#6298611yescharacteristic
1765C2#6299011yescharacteristic
1766C2#6299411yescharacteristic
1767C2#6302411yescharacteristic
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. #59894C2semidirect
2. #59878C2semidirect
3. #59858C2semidirect
4. #59779C2semidirect
5. #59767C2semidirect
6. #59726C2semidirect
7. #59713C2semidirect
8. #59668C2semidirect
9. #59633C2semidirect
10. #59058C2semidirect
11. #59056C2semidirect
12. #59050C2semidirect
13. #36597C2semidirect
14. #36596C2semidirect
15. #36473C2semidirect
16. #36471C2semidirect
17. #36470C2semidirect
18. #36469C2semidirect
19. #36414C2semidirect
20. #36399C2semidirect
21. #36373C2semidirect
22. #36369C2semidirect
23. #36315C2semidirect
24. #36273C2semidirect
25. #36273C2semidirect
26. #36251C2semidirect
27. #36150C2semidirect
28. #36115C2semidirect
29. C4×#555C2semidirect
30. C4×#555C2semidirect
31. C4×#555C2semidirect
32. C4×#553C2semidirect
33. #34155C2semidirect
34. #34151C2semidirect
35. #34145C2semidirect
878. #125#41semidirect
969. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598942
#598782
#598582
#597792
#597672
#597262
#597132
#596682
#596332
#590582
#590562
#590502
#365972
#365962
#364732
#364712
#364702
#364692
#364142
#363992
#363732
#363692
#363152
#362732
#362512
#361502
#361152
C4×#5552
C4×#5532
#341552
#341512
#341452