Finite Group Databasebeta

← #7672079

Subgroups — #7672079

Order 512.

5144 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C212yesmaximal, complemented
2#59953C212yesmaximal, complemented
3#59902C212yesmaximal, complemented
4#59813C212yesmaximal, complemented
5#59592C212yesmaximal, complemented
6#59556C212yesmaximal, complemented
7#59489C212yesmaximal, complemented
8#59405C212yesmaximal, complemented
9#40105C212yesmaximal, complemented
10#40104C212yesmaximal, complemented
11#40093C212yesmaximal, complemented
12#40092C212yesmaximal, complemented
13#39152C212yesmaximal, complemented
14#38914C212yesmaximal, complemented
15#38266C212yesmaximal, complemented
16#38264C212yesmaximal, complemented
17#36635C211yesmaximal, characteristic, complemented
18#36609C211yesmaximal, characteristic, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36452C212yesmaximal, complemented
21#36432C212yesmaximal, complemented
22#36250C212yesmaximal, complemented
23#36230C212yesmaximal, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36182C211yesmaximal, characteristic, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36129C211yesmaximal, characteristic, complemented
29#36122C211yesmaximal, characteristic, complemented
30#35590C212yesmaximal, complemented
31#35588C212yesmaximal, complemented
32#35288C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#35175C212yesmaximal, complemented
35#34319C212yesmaximal, complemented
36#34216C211yesmaximal, characteristic, complemented
37#34214C211yesmaximal, characteristic, complemented
38C4×#532C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#553C2212yes—
41C2×#552C2212yes—
42C2×#548C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2212yes—
48#2864C2212yes—
49#2863C2212yes—
50#2863C2212yes—
51#2862C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2858C2211yescharacteristic
56#2858C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2856C2211yescharacteristic
62#2856C2211yescharacteristic
63#2855C2212yes—
64#2855C2212yes—
65#2855C2214yes—
66#2851C2212yes—
67#2851C2214yes—
68#2793C2214yes—
69#2786C2214yes—
70#2783C2214yes—
71#2779C2214yes—
72#2775C2214yes—
73#2773C2214yes—
74#2772C2214yes—
75#2761C2214yes—
76#2754C2214yes—
77#2751C2214yes—
78#2741C2214yes—
79#2723C2214yes—
80#2721C2214yes—
81#2715C2214yes—
82#2686C2214yes—
83#2671C2214yes—
84#2667C2214yes—
85#2665C2214yes—
86#2644C2212yes—
87#2644C2212yes—
88#2624C2212yes—
89#2624C2212yes—
90#2611C2214yes—
91#2609C2214yes—
92#2597C2214yes—
93#2595C2214yes—
94#2592C2212yes—
95#2592C2212yes—
96#2589C2214yes—
97#2587C2214yes—
98#2584C2212yes—
99#2584C2212yes—
100#2581C2212yes—
101#2580C2212yes—
102#2578C2214yes—
103#2577C2214yes—
104#2574C2214yes—
105#2573C2214yes—
106#2573C2214yes—
107#2572C2214yes—
108#2566C2212yes—
109#2565C2212yes—
110#2559C2214yes—
111#2557C2214yes—
112#2556C2214yes—
113#2553C2214yes—
114#2550C2212yes—
115#2545C2212yes—
116#2540C2212yes—
117#2536C2212yes—
118#2532C2214yes—
119#2531C2214yes—
120#2530C2214yes—
121#2529C2214yes—
122#2526C2214yes—
123#2523C2214yes—
124#2517C2214yes—
125#2513C2212yes—
126#2513C2212yes—
127#2513C2212yes—
128#2513C2212yes—
129#2512C2212yes—
130#2512C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2504C2212yes—
140#2503C2212yes—
141#2500C2212yes—
142#2499C2214yes—
143#2499C2212yes—
144#2496C2212yes—
145#2496C2212yes—
146#2495C2212yes—
147#2495C2212yes—
148#2492C2212yes—
149#2491C2212yes—
150#2491C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2486C2212yes—
157#2486C2212yes—
158#2485C2212yes—
159#2485C2214yes—
160#2485C2212yes—
161#2477C2214yes—
162#2468C2214yes—
163#2466C2214yes—
164#2466C2214yes—
165#2460C2214yes—
166#2457C2214yes—
167#2455C2214yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2451C2212yes—
176#2448C2212yes—
177#2448C2212yes—
178#2448C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2447C2212yes—
182#2447C2212yes—
183#2447C2214yes—
184#2447C2212yes—
185#2447C2214yes—
186#2447C2212yes—
187#2446C2212yes—
188#2442C2212yes—
189#2439C2212yes—
190#2436C2212yes—
191#2432C2212yes—
192#2429C2212yes—
193#2427C2212yes—
194#2427C2212yes—
195#2427C2212yes—
196#2426C2212yes—
197#2426C2212yes—
198#2426C2212yes—
199#2426C2212yes—
200#2422C2214yes—
201#2422C2212yes—
202#2422C2212yes—
203#2420C2214yes—
204#2420C2212yes—
205#2420C2212yes—
206#2417C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2416C2212yes—
211#2414C2212yes—
212#2409C2212yes—
213#2407C2212yes—
214#2374C2214yes—
215#2373C2214yes—
216#2370C2212yes—
217#2370C2212yes—
218#2369C2212yes—
219#2369C2212yes—
220#2367C2212yes—
221#2367C2212yes—
222#2367C2212yes—
223#2365C2212yes—
224#2365C2212yes—
225#2363C2214yes—
226#2363C2212yes—
227#2361C2212yes—
228#2361C2212yes—
229#2361C2212yes—
230#2361C2212yes—
231#2360C2212yes—
232#2360C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2360C2212yes—
236#2357C2212yes—
237#2357C2214yes—
238#2356C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2352C2212yes—
242#2351C2212yes—
243Q8×C4⋊C4C2212yes—
244Q8×C4⋊C4C2212yes—
245#2346C2212yes—
246#2346C2212yes—
247#2345C2212yes—
248#2345C2212yes—
249#2344C2212yes—
250#2344C2212yes—
251#2341C2212yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254Q8×C22⋊C4C2212yes—
255#2334C2214yes—
256#2333C2214yes—
257#2331C2212yes—
258#2331C2212yes—
259#2330C2212yes—
260#2330C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2319C2212yes—
264#2319C2212yes—
265#2317C2212yes—
266#2316C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#126C2211yescharacteristic
281C4×#126C2211yescharacteristic
282C4×#126C2211yescharacteristic
283C4×#126C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×#123C2211yescharacteristic
293C4×#123C2214yes—
294C4×#123C2211yescharacteristic
295C4×#123C2211yescharacteristic
296C4×#123C2211yescharacteristic
297C4×#121C2212yes—
298C4×#121C2212yes—
299C4×#121C2212yes—
300C4×#121C2211yescharacteristic
301C4×#121C2212yes—
302C4×#121C2211yescharacteristic
303#2298C2211yescharacteristic
304#2298C2211yescharacteristic
305#2297C2212yes—
306#2295C2212yes—
307#2295C2212yes—
308#2295C2211yescharacteristic
309#2293C2211yescharacteristic
310#2293C2212yes—
311#2293C2212yes—
312#2290C2211yescharacteristic
313#2290C2211yescharacteristic
314#2290C2214yes—
315#2285C2211yescharacteristic
316#2285C2211yescharacteristic
317C2×#384C2211yescharacteristic
318#2283C2212yes—
319#2283C2211yescharacteristic
320#2274C2212yes—
321#2274C2212yes—
322C42×Q8C2211yescharacteristic
323C42×D4C2212yes—
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2212yes—
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C23×Q8C2312yes—
333#553—216no—
334#552—48no—
335#548—48no—
336#533—28no—
337#532—28no—
338C2×C4⋊Q8—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×#127C2311yescharacteristic
346#529—28no—
347C2×#126C2311yescharacteristic
348C2×#126C2311yescharacteristic
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2311yescharacteristic
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#124C2311yescharacteristic
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#123C2314yes—
365C2×#123C2311yescharacteristic
366C2×#123C2311yescharacteristic
367C2×#123C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C4×#41—48no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2314yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2314yes—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#388C2311yescharacteristic
613#388C2311yescharacteristic
614#388C2311yescharacteristic
615#388C2311yescharacteristic
616#388C2311yescharacteristic
617#388C2311yescharacteristic
618#388C2311yescharacteristic
619#388C2311yescharacteristic
620#388C2311yescharacteristic
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2311yescharacteristic
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2311yescharacteristic
651#388C2314yes—
652#388C2311yescharacteristic
653#388C2314yes—
654#388C2311yescharacteristic
655#388C2314yes—
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#387C2311yescharacteristic
661#387C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2311yescharacteristic
664#387C2311yescharacteristic
665#387C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2311yescharacteristic
668#387C2314yes—
669#387C2314yes—
670#387C2311yescharacteristic
671#387C2311yescharacteristic
672#387C2311yescharacteristic
673#387C2311yescharacteristic
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2311yescharacteristic
711#386C2311yescharacteristic
712#386C2311yescharacteristic
713#386C2311yescharacteristic
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2311yescharacteristic
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2311yescharacteristic
729#385C2314yes—
730#385C2311yescharacteristic
731#385C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2312yes—
738#384C2314yes—
739#384C2312yes—
740#383C2311yescharacteristic
741#383C2311yescharacteristic
742#383C2314yes—
743#383C2314yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#382C2314yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2311yescharacteristic
764#381C2311yescharacteristic
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2314yes—
868C4×C22⋊C4C2314yes—
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2314yes—
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2314yes—
883#376C2314yes—
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—28no—
895C2×#41—28no—
896C2×#41—44no—
897C22×Q8—28no—
898C22×Q8—44no—
899C22×Q8—44no—
900C22×Q8C2412yes—
901C22×Q8C2412yes—
902C22×Q8C2412yes—
903C22×Q8C2411yescharacteristic
904C22×Q8C2414yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C4⋊Q8—28no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8#4118yes—
938#127—24no—
939#126—216no—
940#126—24no—
941#126—24no—
942#126—48no—
943#125—24no—
944#125—28no—
945#125—28no—
946#125—44no—
947#125—48no—
948#125—44no—
949#124—28no—
950#124—24no—
951#124—44no—
952#124—44no—
953#124—44no—
954#124—44no—
955#124—48no—
956#123—24no—
957#123—24no—
958#123—216no—
959#123—48no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—48no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968#121—24no—
969#121—216no—
970#121—28no—
971#121—28no—
972#121—28no—
973#121—28no—
974#121—48no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—24no—
982C4×Q8—42no—
983C4×Q8—42no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×Q8—44no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—216no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—48no—
1010C4×D4—48no—
1011C4×D4—48no—
1012C4×D4#4118yescomplemented
1013#117—24no—
1014#117—24no—
1015#117—28no—
1016#117—28no—
1017#117—28no—
1018#117—24no—
1019#117—24no—
1020#117—48no—
1021#117—48no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—48no—
1158C2×C42—42no—
1159C2×C42—42no—
1160C2×C42—42no—
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2414yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2414yes—
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296C24C2514yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2511yescharacteristic
1300#41—432no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—28no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—41no—
1312C2×Q8—41no—
1313C2×Q8—44no—
1314C2×Q8—44no—
1315C2×Q8—816no—
1316C2×Q8C2×#4118yes—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—28no—
1322C2×D4—28no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4C2×#4114yes—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—28no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—28no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—28no—
1378C22×C4—28no—
1379C22×C4—28no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4C2×#4114yes—
1396C22×C4C2×#4114yes—
1397C22×C4H(5,𝔽2)14yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2514yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2514yes—
1413C22×C4C2514yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—28no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—41no—
1478C4⋊C4—41no—
1479C4⋊C4—41no—
1480C4⋊C4—41no—
1481C4⋊C4—41no—
1482C4⋊C4—41no—
1483C4⋊C4—44no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4C2×#4118yes—
1500C4⋊C4C2×#4118yes—
1501C4⋊C4C2×#4114yes—
1502C22⋊C4—28no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—28no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—28no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—28no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—41no—
1540C22⋊C4—41no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4C2×#4114yes—
1556C22⋊C4C2×#4114yes—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—28no—
1572C42—28no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—28no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—41no—
1598C42—41no—
1599C42—41no—
1600C42—41no—
1601C42—41no—
1602C42—41no—
1603C42—44no—
1604C42—44no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42—44no—
1611C42C2×#4114yes—
1612C42C2×#4114yes—
1613C422−1+414yes—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23—24no—
1639C23C22×#4112yes—
1640C23C22×#4112yes—
1641C23C2×H(5,𝔽2)12yes—
1642C23C2611yescharacteristic
1643Q8—216no—
1644Q8—44no—
1645Q8—48no—
1646Q8—48no—
1647Q8—88no—
1648D4—44no—
1649D4—416no—
1650D4—44no—
1651D4—44no—
1652D4—48no—
1653D4—48no—
1654D4—48no—
1655D4—88no—
1656D4—88no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—28no—
1674C2×C4—28no—
1675C2×C4—28no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—416no—
1749C2×C4—44no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—88no—
1760C2×C4—88no—
1761C2×C4—88no—
1762C2×C4—88no—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4118yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4112yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×2−1+412yes—
1775C2×C4C2×2−1+412yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4#58512yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—44no—
1802C22—44no—
1803C22—44no—
1804C22—44no—
1805C22—44no—
1806C22—44no—
1807C22—44no—
1808C22C23×#4111yescharacteristic
1809C22C23×#4111yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C22×2−1+411yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22C2×#58511yescharacteristic
1815C4—22no—
1816C4—28no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—41no—
1824C4—41no—
1825C4—44no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—44no—
1830C4—41no—
1831C4—44no—
1832C4—44no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—44no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—44no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4#348214yes—
1848C4#351314yes—
1849C4#352414yes—
1850C2—42no—
1851C2—42no—
1852C2—42no—
1853C2—84no—
1854C2C2×#348211yescharacteristic
1855C2C2×#351311yescharacteristic
1856C2C2×#352411yescharacteristic
1857C2#6280011yescharacteristic
1858C2#6281511yescharacteristic
1859C2#6283511yescharacteristic
1860C2#6283811yescharacteristic
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. #59961C2semidirect
2. #59953C2semidirect
3. #59902C2semidirect
4. #59813C2semidirect
5. #59592C2semidirect
6. #59556C2semidirect
7. #59489C2semidirect
8. #59405C2semidirect
9. #40105C2semidirect
10. #40104C2semidirect
11. #40093C2semidirect
12. #40092C2semidirect
13. #39152C2semidirect
14. #38914C2semidirect
15. #38266C2semidirect
16. #38264C2semidirect
17. #36635C2semidirect
18. #36609C2semidirect
19. #36574C2semidirect
20. #36452C2semidirect
21. #36432C2semidirect
22. #36250C2semidirect
23. #36230C2semidirect
24. #36209C2semidirect
25. #36182C2semidirect
26. #36181C2semidirect
27. #36150C2semidirect
28. #36129C2semidirect
29. #36122C2semidirect
30. #35590C2semidirect
31. #35588C2semidirect
32. #35288C2semidirect
33. #35288C2semidirect
34. #35175C2semidirect
35. #34319C2semidirect
36. #34216C2semidirect
37. #34214C2semidirect
38. C4×#532C2semidirect
39. C4×#529C2semidirect
1012. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599612
#599532
#599022
#598132
#595922
#595562
#594892
#594052
#401052
#401042
#400932
#400922
#391522
#389142
#382662
#382642
#366352
#366092
#365742
#364522
#364322
#362502
#362302
#362092
#361822
#361812
#361502
#361292
#361222
#355902
#355882
#352882
#351752
#343192
#342162
#342142
C4×#5322
C4×#5292