Finite Group Databasebeta

← #7699932

Subgroups — #7699932

Order 512.

5605 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59902C212yesmaximal, complemented
2#59729C214yesmaximal, complemented
3#59721C214yesmaximal, complemented
4#59680C211yesmaximal, characteristic, complemented
5#59657C212yesmaximal, complemented
6#59617C214yesmaximal, complemented
7#59549C212yesmaximal, complemented
8#59434C211yesmaximal, characteristic, complemented
9#59429C211yesmaximal, characteristic, complemented
10#59401C212yesmaximal, complemented
11#59394C212yesmaximal, complemented
12#59145C212yesmaximal, complemented
13#36609C211yesmaximal, characteristic, complemented
14#36606C212yesmaximal, complemented
15#36556C211yesmaximal, characteristic, complemented
16#36515C212yesmaximal, complemented
17#36500C214yesmaximal, complemented
18#36498C212yesmaximal, complemented
19#36493C212yesmaximal, complemented
20#36469C211yesmaximal, characteristic, complemented
21#36463C211yesmaximal, characteristic, complemented
22#36437C212yesmaximal, complemented
23#36415C211yesmaximal, characteristic, complemented
24#36412C211yesmaximal, characteristic, complemented
25#36297C212yesmaximal, complemented
26#36257C212yesmaximal, complemented
27#36252C212yesmaximal, complemented
28#36125C211yesmaximal, characteristic, complemented
29C4×#559C211yesmaximal, characteristic, complemented
30C4×#554C211yesmaximal, characteristic, complemented
31C4×#555C211yesmaximal, characteristic, complemented
32C4×#553C212yesmaximal, complemented
33C4×#550C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34141C212yesmaximal, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#555C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41C2×#550C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#532C2212yes—
44C2×C4×#41C2212yes—
45C2×C4×#41C2212yes—
46#2866C2214yes—
47#2864C2212yes—
48#2862C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2856C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2853C2214yes—
55#2850C2212yes—
56#2850C2212yes—
57#2850C2214yes—
58#2788C2214yes—
59#2786C2214yes—
60#2778C2214yes—
61#2777C2214yes—
62#2749C2214yes—
63#2723C2214yes—
64#2714C2214yes—
65#2703C2214yes—
66#2676C2214yes—
67#2602C2214yes—
68#2602C2214yes—
69#2600C2214yes—
70#2597C2214yes—
71#2597C2214yes—
72#2595C2214yes—
73#2595C2214yes—
74#2594C2214yes—
75#2593C2214yes—
76#2592C2212yes—
77#2592C2212yes—
78#2592C2212yes—
79#2591C2214yes—
80#2588C2214yes—
81#2581C2212yes—
82#2580C2212yes—
83#2578C2214yes—
84#2576C2214yes—
85#2576C2214yes—
86#2574C2214yes—
87#2570C2212yes—
88#2567C2211yescharacteristic
89#2563C2211yescharacteristic
90#2560C2214yes—
91#2557C2214yes—
92#2557C2214yes—
93#2557C2214yes—
94#2557C2214yes—
95#2555C2214yes—
96#2555C2214yes—
97#2547C2211yescharacteristic
98#2546C2211yescharacteristic
99#2545C2212yes—
100#2544C2212yes—
101#2541C2212yes—
102#2541C2211yescharacteristic
103#2541C2211yescharacteristic
104#2540C2214yes—
105#2538C2212yes—
106#2535C2212yes—
107#2535C2214yes—
108#2535C2212yes—
109#2535C2212yes—
110#2530C2214yes—
111#2529C2214yes—
112#2527C2214yes—
113#2526C2214yes—
114#2520C2214yes—
115#2517C2214yes—
116#2516C2214yes—
117#2514C2212yes—
118#2513C2212yes—
119#2513C2212yes—
120#2513C2212yes—
121#2512C2212yes—
122#2511C2212yes—
123#2509C2212yes—
124#2508C2212yes—
125#2500C2212yes—
126#2499C2212yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2494C2212yes—
131#2491C2212yes—
132#2490C2212yes—
133#2488C2214yes—
134#2474C2214yes—
135#2471C2214yes—
136#2471C2214yes—
137#2470C2214yes—
138#2465C2214yes—
139#2464C2214yes—
140#2464C2214yes—
141#2464C2214yes—
142#2463C2214yes—
143#2461C2214yes—
144#2459C2214yes—
145#2459C2214yes—
146#2457C2214yes—
147#2457C2214yes—
148#2457C2214yes—
149#2456C2214yes—
150#2456C2214yes—
151#2456C2214yes—
152#2456C2214yes—
153#2448C2212yes—
154#2448C2212yes—
155#2448C2212yes—
156#2447C2212yes—
157#2447C2212yes—
158#2446C2212yes—
159#2445C2212yes—
160#2445C2212yes—
161#2444C2214yes—
162#2443C2214yes—
163#2441C2212yes—
164#2440C2212yes—
165#2432C2212yes—
166#2431C2212yes—
167#2431C2212yes—
168#2431C2212yes—
169#2428C2212yes—
170#2428C2212yes—
171#2428C2212yes—
172#2428C2212yes—
173#2425C2214yes—
174#2422C2212yes—
175#2420C2212yes—
176#2416C2212yes—
177#2414C2212yes—
178#2374C2214yes—
179#2374C2212yes—
180#2374C2212yes—
181#2373C2214yes—
182#2372C2214yes—
183#2370C2211yescharacteristic
184#2370C2211yescharacteristic
185#2369C2211yescharacteristic
186#2369C2211yescharacteristic
187#2368C2212yes—
188#2368C2212yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2212yes—
192#2367C2212yes—
193#2367C2211yescharacteristic
194#2367C2211yescharacteristic
195#2367C2212yes—
196#2366C2212yes—
197#2366C2212yes—
198#2366C2212yes—
199#2366C2211yescharacteristic
200#2366C2211yescharacteristic
201#2365C2212yes—
202#2365C2212yes—
203#2365C2211yescharacteristic
204#2364C2214yes—
205#2364C2214yes—
206#2364C2214yes—
207#2364C2214yes—
208#2363C2212yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2214yes—
212#2363C2212yes—
213#2363C2212yes—
214#2362C2212yes—
215#2361C2214yes—
216#2361C2212yes—
217#2361C2214yes—
218#2361C2212yes—
219#2361C2212yes—
220#2360C2212yes—
221#2359C2214yes—
222#2357C2212yes—
223#2357C2212yes—
224#2357C2212yes—
225#2357C2211yescharacteristic
226#2357C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2353C2214yes—
235#2352C2212yes—
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2211yescharacteristic
239#2349C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2347C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2345C2212yes—
247#2344C2212yes—
248#2341C2212yes—
249#2339C2212yes—
250C4×C4⋊Q8C2211yescharacteristic
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2211yescharacteristic
253C4×#127C2211yescharacteristic
254C4×#127C2212yes—
255C4×#127C2211yescharacteristic
256C4×#125C2212yes—
257C4×#125C2211yescharacteristic
258C4×#125C2211yescharacteristic
259C4×#126C2214yes—
260C4×#124C2212yes—
261C4×#124C2211yescharacteristic
262C4×#124C2211yescharacteristic
263C4×#124C2214yes—
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×#123C2212yes—
269C4×#123C2212yes—
270C4×#123C2214yes—
271C4×#123C2214yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2214yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280#2297C2212yes—
281#2297C2212yes—
282#2293C2214yes—
283#2290C2214yes—
284#2290C2214yes—
285C42×Q8C2211yescharacteristic
286C42×Q8C2211yescharacteristic
287C42×D4C2211yescharacteristic
288C42×D4C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2214yes—
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2212yes—
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—28no—
302#559—48no—
303#555—28no—
304#554—28no—
305#553—216no—
306#550—28no—
307#547—28no—
308#532—216no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C4×#41—48no—
359C4×#41—48no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2312yes—
417C22×C42C2314yes—
418C22×C42C2312yes—
419C22×C42C2314yes—
420C22×C42C2312yes—
421C22×C42C2312yes—
422C22×C42C2312yes—
423#401C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#383C2314yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2314yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869#127—28no—
870#127—28no—
871#127—24no—
872#127—24no—
873#127—44no—
874#126—216no—
875#125—24no—
876#125#4118yescomplemented
877#124—24no—
878#124—216no—
879#124—28no—
880#124—28no—
881#124—44no—
882#124—48no—
883#124—44no—
884#124—44no—
885#124—82no—
886#124#4118yes—
887#123—216no—
888#123—216no—
889#123—28no—
890#123—28no—
891#123—48no—
892#123—48no—
893#123—84no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—84no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—216no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—84no—
913#121—84no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—44no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—82no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—216no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4—84no—
957C4×D4—82no—
958C4×D4—84no—
959C4×D4#4118yes—
960#117—28no—
961#117—28no—
962#117—28no—
963#117—28no—
964#117—48no—
965#117—48no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—28no—
1085C2×C42—48no—
1086C2×C42—48no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42—44no—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2512yes—
1202C24C2514yes—
1203C24C2512yes—
1204C24C2512yes—
1205#41—432no—
1206#41—432no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—41no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8C2×#4114yes—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4C2×#4114yes—
1269C2×D4C2×#4114yes—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4C2×#4118yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—28no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4C2×#4114yes—
1408C4⋊C4C2×#4114yes—
1409C4⋊C4C2×#4118yes—
1410C4⋊C4C2×#4114yes—
1411C4⋊C4C2×#4118yes—
1412C4⋊C4H(5,𝔽2)14yes—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4C2×#4118yes—
1467C22⋊C4C2×#4118yes—
1468C22⋊C4C2×#4118yes—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—28no—
1473C42—28no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—22no—
1480C42—28no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—28no—
1486C42—24no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—42no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—42no—
1504C42—44no—
1505C42—41no—
1506C42—42no—
1507C42—44no—
1508C42—41no—
1509C42—41no—
1510C42—41no—
1511C42—41no—
1512C42C2×#4114yes—
1513C42C2×#4114yes—
1514C42C2×#4114yes—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—24no—
1533C23—22no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23C22×#4114yes—
1542C23C22×#4114yes—
1543C23C2611yescharacteristic
1544Q8—28no—
1545Q8—44no—
1546Q8—48no—
1547Q8—84no—
1548Q8—84no—
1549D4—28no—
1550D4—28no—
1551D4—416no—
1552D4—48no—
1553D4—416no—
1554D4—416no—
1555D4—48no—
1556D4—44no—
1557D4—48no—
1558D4—88no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564D4—164no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—216no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—416no—
1645C2×C4—416no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—88no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4114yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)14yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—24no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—42no—
1699C22—44no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22C23×#4111yescharacteristic
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22H(7,𝔽2)11yescharacteristic
1711C4—22no—
1712C4—24no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—24no—
1717C4—24no—
1718C4—24no—
1719C4—22no—
1720C4—24no—
1721C4—22no—
1722C4—44no—
1723C4—41no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4#348014yes—
1741C4#348114yes—
1742C2—44no—
1743C2—44no—
1744C2—84no—
1745C2—82no—
1746C2C2×#348011yescharacteristic
1747C2C2×#348111yescharacteristic
1748C2#41211yescharacteristic
1749C2#6298611yescharacteristic
1750C2#6299411yescharacteristic
1751C2#6301011yescharacteristic
1752C2#6301811yescharacteristic
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. #59902C2semidirect
2. #59729C2semidirect
3. #59721C2semidirect
4. #59680C2semidirect
5. #59657C2semidirect
6. #59617C2semidirect
7. #59549C2semidirect
8. #59434C2semidirect
9. #59429C2semidirect
10. #59401C2semidirect
11. #59394C2semidirect
12. #59145C2semidirect
13. #36609C2semidirect
14. #36606C2semidirect
15. #36556C2semidirect
16. #36515C2semidirect
17. #36500C2semidirect
18. #36498C2semidirect
19. #36493C2semidirect
20. #36469C2semidirect
21. #36463C2semidirect
22. #36437C2semidirect
23. #36415C2semidirect
24. #36412C2semidirect
25. #36297C2semidirect
26. #36257C2semidirect
27. #36252C2semidirect
28. #36125C2semidirect
29. C4×#559C2semidirect
30. C4×#554C2semidirect
31. C4×#555C2semidirect
32. C4×#553C2semidirect
33. C4×#550C2semidirect
34. C4×#547C2semidirect
35. #34141C2semidirect
876. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599022
#597292
#597212
#596802
#596572
#596172
#595492
#594342
#594292
#594012
#593942
#591452
#366092
#366062
#365562
#365152
#365002
#364982
#364932
#364692
#364632
#364372
#364152
#364122
#362972
#362572
#362522
#361252
C4×#5592
C4×#5542
C4×#5552
C4×#5532
C4×#5502
C4×#5472
#341412