Finite Group Databasebeta

← #7689673

Subgroups — #7689673

Order 512.

5054 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59792C214yesmaximal, complemented
2#59720C212yesmaximal, complemented
3#59442C211yesmaximal, characteristic, complemented
4#59288C212yesmaximal, complemented
5#59236C212yesmaximal, complemented
6#59220C211yesmaximal, characteristic, complemented
7#59217C211yesmaximal, characteristic, complemented
8#59213C212yesmaximal, complemented
9#44981C212yesmaximal, complemented
10#44912C212yesmaximal, complemented
11#43757C214yesmaximal, complemented
12#43607C214yesmaximal, complemented
13#39786C212yesmaximal, complemented
14#39753C211yesmaximal, characteristic, complemented
15#39222C212yesmaximal, complemented
16#39126C211yesmaximal, characteristic, complemented
17#38681C214yesmaximal, complemented
18#37961C212yesmaximal, complemented
19#36514C212yesmaximal, complemented
20#36492C211yesmaximal, characteristic, complemented
21#36490C212yesmaximal, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36263C212yesmaximal, complemented
24#36188C211yesmaximal, characteristic, complemented
25#36187C211yesmaximal, characteristic, complemented
26#36176C211yesmaximal, characteristic, complemented
27#36062C212yesmaximal, complemented
28#36026C212yesmaximal, complemented
29#34898C212yesmaximal, complemented
30#34727C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34306C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#555C2212yes—
38C2×#554C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#553C2214yes—
41C2×#529C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43#2868C2211yescharacteristic
44#2866C2214yes—
45#2860C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2212yes—
49#2854C2212yes—
50#2851C2212yes—
51#2798C2214yes—
52#2797C2214yes—
53#2797C2214yes—
54#2791C2214yes—
55#2788C2214yes—
56#2786C2214yes—
57#2786C2214yes—
58#2782C2214yes—
59#2781C2214yes—
60#2775C2214yes—
61#2773C2214yes—
62#2767C2214yes—
63#2756C2214yes—
64#2751C2214yes—
65#2714C2214yes—
66#2713C2214yes—
67#2710C2214yes—
68#2708C2214yes—
69#2708C2214yes—
70#2702C2214yes—
71#2681C2214yes—
72#2661C2214yes—
73#2660C2212yes—
74#2651C2214yes—
75#2629C2212yes—
76#2602C2214yes—
77#2601C2214yes—
78#2599C2214yes—
79#2598C2214yes—
80#2597C2214yes—
81#2595C2214yes—
82#2591C2214yes—
83#2589C2214yes—
84#2578C2214yes—
85#2577C2214yes—
86#2577C2214yes—
87#2575C2214yes—
88#2571C2211yescharacteristic
89#2570C2212yes—
90#2570C2212yes—
91#2568C2212yes—
92#2565C2212yes—
93#2563C2211yescharacteristic
94#2563C2211yescharacteristic
95#2563C2212yes—
96#2562C2212yes—
97#2562C2212yes—
98#2562C2212yes—
99#2562C2212yes—
100#2560C2214yes—
101#2559C2214yes—
102#2558C2214yes—
103#2555C2214yes—
104#2555C2214yes—
105#2554C2214yes—
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2550C2212yes—
109#2547C2212yes—
110#2547C2212yes—
111#2543C2214yes—
112#2537C2212yes—
113#2537C2212yes—
114#2537C2212yes—
115#2537C2211yescharacteristic
116#2537C2211yescharacteristic
117#2536C2212yes—
118#2535C2212yes—
119#2535C2212yes—
120#2535C2212yes—
121#2533C2214yes—
122#2532C2214yes—
123#2532C2214yes—
124#2531C2214yes—
125#2526C2214yes—
126#2525C2214yes—
127#2524C2214yes—
128#2521C2214yes—
129#2521C2214yes—
130#2519C2214yes—
131#2515C2214yes—
132#2513C2212yes—
133#2513C2212yes—
134#2508C2212yes—
135#2506C2212yes—
136#2500C2214yes—
137#2499C2212yes—
138#2499C2212yes—
139#2498C2214yes—
140#2497C2212yes—
141#2496C2212yes—
142#2496C2212yes—
143#2496C2212yes—
144#2496C2212yes—
145#2496C2212yes—
146#2495C2212yes—
147#2495C2212yes—
148#2495C2212yes—
149#2495C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2214yes—
153#2490C2212yes—
154#2490C2212yes—
155#2488C2214yes—
156#2487C2212yes—
157#2487C2212yes—
158#2486C2212yes—
159#2486C2212yes—
160#2485C2214yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2481C2214yes—
165#2479C2212yes—
166#2477C2214yes—
167#2476C2214yes—
168#2471C2212yes—
169#2469C2214yes—
170#2468C2214yes—
171#2468C2214yes—
172#2467C2212yes—
173#2463C2214yes—
174#2459C2214yes—
175#2458C2214yes—
176#2456C2212yes—
177#2454C2211yescharacteristic
178#2451C2212yes—
179#2448C2211yescharacteristic
180#2445C2212yes—
181#2442C2212yes—
182#2442C2214yes—
183#2441C2211yescharacteristic
184#2431C2211yescharacteristic
185#2428C2211yescharacteristic
186#2426C2212yes—
187#2423C2211yescharacteristic
188#2421C2212yes—
189#2420C2214yes—
190#2416C2212yes—
191#2416C2212yes—
192#2414C2211yescharacteristic
193#2407C2211yescharacteristic
194#2407C2212yes—
195#2402C2214yes—
196#2397C2212yes—
197#2395C2214yes—
198#2392C2212yes—
199#2374C2212yes—
200#2373C2212yes—
201#2372C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2369C2211yescharacteristic
206#2367C2214yes—
207#2367C2212yes—
208#2365C2212yes—
209#2365C2212yes—
210#2364C2214yes—
211#2364C2212yes—
212#2363C2212yes—
213#2363C2211yescharacteristic
214#2361C2212yes—
215#2361C2212yes—
216#2361C2211yescharacteristic
217#2361C2212yes—
218#2360C2212yes—
219#2360C2214yes—
220#2359C2214yes—
221#2357C2211yescharacteristic
222#2357C2212yes—
223#2355C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2212yes—
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2354C2212yes—
231#2353C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2211yescharacteristic
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243#2347C2212yes—
244#2347C2211yescharacteristic
245#2346C2212yes—
246#2346C2214yes—
247#2346C2212yes—
248#2345C2212yes—
249#2345C2212yes—
250#2345C2211yescharacteristic
251#2343C2214yes—
252#2341C2212yes—
253#2337C2214yes—
254#2334C2214yes—
255#2333C2214yes—
256#2331C2212yes—
257#2330C2212yes—
258#2329C2214yes—
259#2324C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#126C2212yes—
266C4×#126C2214yes—
267C4×#124C2214yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279#2298C2214yes—
280#2295C2211yescharacteristic
281#2293C2214yes—
282#2293C2212yes—
283C2×#389C2212yes—
284#2290C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2283C2212yes—
290#2275C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#556—48no—
301#555—216no—
302#554—28no—
303#553—28no—
304#553—416no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2314yes—
349C4×#41—28no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2312yes—
418#399C2312yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2312yes—
478#392C2312yes—
479#392C2312yes—
480#392C2312yes—
481#392C2312yes—
482#392C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2314yes—
684#383C2312yes—
685#383C2314yes—
686#383C2314yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2314yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2314yes—
732#380C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C2×#41—24no—
818C2×#41—42no—
819C2×#41—42no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—28no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859#127—42no—
860#126—28no—
861#126—28no—
862#126—216no—
863#126—48no—
864#126—48no—
865#125—24no—
866#125—24no—
867#125—28no—
868#125—44no—
869#125—48no—
870#124—24no—
871#124—216no—
872#124—216no—
873#124—48no—
874#123—28no—
875#123—28no—
876#123—48no—
877#123—48no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—24no—
884#121—24no—
885#121—28no—
886#121—28no—
887#121—216no—
888#121—24no—
889#121—28no—
890#121—28no—
891#121—48no—
892#121—48no—
893#121—42no—
894#121—44no—
895#121—42no—
896#121—44no—
897#121—48no—
898C4×Q8—24no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8#4118yes—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4#4118yescomplemented
930#117—216no—
931#117—24no—
932#117—28no—
933#117—24no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—48no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—42no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—48no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C42—24no—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—44no—
1076C2×C42—44no—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186#41—416no—
1187C2×Q8—24no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—42no—
1195C2×Q8C2×#4114yes—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4C2×#4114yes—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2×#4118yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4C2×#4114yes—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4C2×#4118yes—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4C2×#4118yes—
1445C22⋊C4H(5,𝔽2)14yes—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—22no—
1450C42—24no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—28no—
1455C42—28no—
1456C42—24no—
1457C42—24no—
1458C42—28no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—22no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—41no—
1474C42—42no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42C2×#4114yes—
1482C42C2×#4118yes—
1483C42C2×#4114yes—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23C22×#4114yes—
1518C23C2×H(5,𝔽2)12yes—
1519C23C2611yescharacteristic
1520Q8—28no—
1521Q8—84no—
1522Q8—88no—
1523D4—28no—
1524D4—48no—
1525D4—44no—
1526D4—48no—
1527D4—48no—
1528D4—44no—
1529D4—44no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—88no—
1535D4—88no—
1536D4—84no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—88no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—164no—
1630C2×C4—164no—
1631C2×C4C22×#4114yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4114yes—
1634C2×C4C22×#4114yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—22no—
1646C22—24no—
1647C22—22no—
1648C22—22no—
1649C22—24no—
1650C22—24no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—42no—
1680C22C23×#4111yescharacteristic
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C222−1+611yescharacteristic
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—24no—
1692C4—22no—
1693C4—24no—
1694C4—22no—
1695C4—41no—
1696C4—44no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—44no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—41no—
1715C4#348014yes—
1716C4#349314yes—
1717C2—42no—
1718C2—44no—
1719C2—81no—
1720C2—82no—
1721C2—82no—
1722C2C2×#348011yescharacteristic
1723C2C2×#349311yescharacteristic
1724C2#6280011yescharacteristic
1725C2#6293911yescharacteristic
1726C2#6298511yescharacteristic
1727C2#6299111yescharacteristic
1728C2#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. #59792C2semidirect
2. #59720C2semidirect
3. #59442C2semidirect
4. #59288C2semidirect
5. #59236C2semidirect
6. #59220C2semidirect
7. #59217C2semidirect
8. #59213C2semidirect
9. #44981C2semidirect
10. #44912C2semidirect
11. #43757C2semidirect
12. #43607C2semidirect
13. #39786C2semidirect
14. #39753C2semidirect
15. #39222C2semidirect
16. #39126C2semidirect
17. #38681C2semidirect
18. #37961C2semidirect
19. #36514C2semidirect
20. #36492C2semidirect
21. #36490C2semidirect
22. #36459C2semidirect
23. #36263C2semidirect
24. #36188C2semidirect
25. #36187C2semidirect
26. #36176C2semidirect
27. #36062C2semidirect
28. #36026C2semidirect
29. #34898C2semidirect
30. #34727C2semidirect
31. #34332C2semidirect
32. #34306C2semidirect
33. #34243C2semidirect
34. C4×#553C2semidirect
35. #34129C2semidirect
929. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#597922
#597202
#594422
#592882
#592362
#592202
#592172
#592132
#449812
#449122
#437572
#436072
#397862
#397532
#392222
#391262
#386812
#379612
#365142
#364922
#364902
#364592
#362632
#361882
#361872
#361762
#360622
#360262
#348982
#347272
#343322
#343062
#342432
C4×#5532
#341292