Finite Group Databasebeta

← #7746755

Subgroups — #7746755

Order 512.

5557 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45378C212yesmaximal, complemented
2#45319C212yesmaximal, complemented
3#45247C212yesmaximal, complemented
4#45106C212yesmaximal, complemented
5#45047C212yesmaximal, complemented
6#45046C212yesmaximal, complemented
7#45043C212yesmaximal, complemented
8#44991C212yesmaximal, complemented
9#44969C212yesmaximal, complemented
10#44952C212yesmaximal, complemented
11#44891C212yesmaximal, complemented
12#44888C212yesmaximal, complemented
13#42872C212yesmaximal, complemented
14#42842C212yesmaximal, complemented
15#42611C212yesmaximal, complemented
16#42608C212yesmaximal, complemented
17#42588C212yesmaximal, complemented
18#42585C212yesmaximal, complemented
19#36595C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36189C211yesmaximal, characteristic, complemented
22#36187C211yesmaximal, characteristic, complemented
23#36182C211yesmaximal, characteristic, complemented
24#36128C211yesmaximal, characteristic, complemented
25#36122C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#35916C212yesmaximal, complemented
28#35916C212yesmaximal, complemented
29#35831C212yesmaximal, complemented
30#35830C212yesmaximal, complemented
31#35785C212yesmaximal, complemented
32#35778C212yesmaximal, complemented
33#35288C211yesmaximal, characteristic, complemented
34#35278C211yesmaximal, characteristic, complemented
35#35277C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic, complemented
37#34226C211yesmaximal, characteristic, complemented
38#34216C211yesmaximal, characteristic, complemented
39#34207C211yesmaximal, characteristic, complemented
40C2×#559C2212yes—
41C2×#555C2212yes—
42C2×#553C2212yes—
43C2×#550C2212yes—
44C2×#548C2212yes—
45C2×#548C2212yes—
46C2×#542C2212yes—
47C2×#540C2212yes—
48C2×#532C2211yescharacteristic
49C2×#532C2211yescharacteristic
50C22×C4⋊Q8C2211yescharacteristic
51C2×#520C2212yes—
52#2868C2211yescharacteristic
53#2867C2211yescharacteristic
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2856C2211yescharacteristic
62#2856C2211yescharacteristic
63#2856C2211yescharacteristic
64#2832C2214yes—
65#2829C2214yes—
66#2804C2214yes—
67#2797C2214yes—
68#2795C2214yes—
69#2784C2214yes—
70#2780C2214yes—
71#2779C2214yes—
72#2751C2214yes—
73#2718C2214yes—
74#2712C2214yes—
75#2712C2214yes—
76#2710C2214yes—
77#2710C2214yes—
78#2709C2214yes—
79#2708C2214yes—
80#2702C2214yes—
81#2695C2214yes—
82#2692C2214yes—
83#2691C2214yes—
84#2687C2214yes—
85#2686C2214yes—
86#2686C2214yes—
87#2672C2214yes—
88#2671C2214yes—
89#2671C2214yes—
90#2662C2214yes—
91#2653C2214yes—
92#2653C2214yes—
93#2648C2214yes—
94#2644C2212yes—
95#2641C2212yes—
96#2640C2212yes—
97#2630C2214yes—
98#2624C2212yes—
99#2620C2214yes—
100#2620C2212yes—
101#2619C2212yes—
102#2601C2214yes—
103#2595C2214yes—
104#2595C2214yes—
105#2593C2214yes—
106#2582C2212yes—
107#2579C2214yes—
108#2570C2212yes—
109#2567C2212yes—
110#2566C2212yes—
111#2563C2212yes—
112#2557C2214yes—
113#2557C2214yes—
114#2555C2214yes—
115#2552C2212yes—
116#2550C2212yes—
117#2550C2212yes—
118#2548C2212yes—
119#2548C2212yes—
120#2548C2212yes—
121#2548C2212yes—
122#2545C2212yes—
123#2545C2212yes—
124#2544C2212yes—
125#2544C2214yes—
126#2544C2212yes—
127#2544C2214yes—
128#2541C2212yes—
129#2541C2212yes—
130#2537C2212yes—
131#2537C2214yes—
132#2537C2212yes—
133#2513C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2512C2212yes—
138#2511C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2504C2212yes—
143#2500C2212yes—
144#2500C2212yes—
145#2500C2212yes—
146#2497C2212yes—
147#2491C2212yes—
148#2491C2212yes—
149#2491C2212yes—
150#2491C2212yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2490C2212yes—
158#2487C2212yes—
159#2474C2214yes—
160#2470C2214yes—
161#2470C2214yes—
162#2468C2214yes—
163#2467C2214yes—
164#2464C2214yes—
165#2459C2214yes—
166#2459C2214yes—
167#2455C2214yes—
168#2454C2212yes—
169#2452C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2451C2212yes—
176#2451C2212yes—
177#2450C2214yes—
178#2450C2214yes—
179#2448C2212yes—
180#2447C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2442C2212yes—
190#2441C2212yes—
191#2436C2212yes—
192#2436C2212yes—
193#2432C2212yes—
194#2432C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2214yes—
205#2428C2212yes—
206#2427C2214yes—
207#2427C2214yes—
208#2427C2212yes—
209#2426C2212yes—
210#2425C2214yes—
211#2425C2214yes—
212#2423C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2420C2212yes—
218#2417C2212yes—
219#2417C2214yes—
220#2416C2212yes—
221#2416C2212yes—
222#2416C2212yes—
223#2416C2212yes—
224#2416C2212yes—
225#2416C2212yes—
226#2416C2214yes—
227#2413C2214yes—
228#2402C2211yescharacteristic
229#2402C2211yescharacteristic
230#2402C2211yescharacteristic
231#2401C2211yescharacteristic
232#2401C2211yescharacteristic
233#2401C2211yescharacteristic
234#2401C2211yescharacteristic
235#2401C2211yescharacteristic
236#2401C2211yescharacteristic
237#2398C2211yescharacteristic
238#2398C2211yescharacteristic
239#2398C2211yescharacteristic
240#2396C2211yescharacteristic
241#2396C2211yescharacteristic
242#2396C2211yescharacteristic
243#2395C2211yescharacteristic
244#2395C2211yescharacteristic
245#2395C2211yescharacteristic
246#2395C2211yescharacteristic
247#2395C2211yescharacteristic
248#2395C2211yescharacteristic
249#2392C2214yes—
250#2392C2214yes—
251#2392C2211yescharacteristic
252#2392C2211yescharacteristic
253#2392C2211yescharacteristic
254#2369C2212yes—
255#2369C2212yes—
256#2369C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2366C2212yes—
260#2366C2212yes—
261#2366C2212yes—
262#2366C2212yes—
263#2365C2212yes—
264#2365C2212yes—
265#2363C2212yes—
266#2363C2212yes—
267#2361C2212yes—
268#2361C2212yes—
269#2361C2212yes—
270#2361C2212yes—
271#2361C2212yes—
272#2361C2212yes—
273#2361C2212yes—
274#2361C2212yes—
275#2361C2212yes—
276#2361C2212yes—
277#2360C2212yes—
278#2357C2212yes—
279#2355C2212yes—
280#2354C2212yes—
281#2354C2212yes—
282#2354C2212yes—
283#2354C2212yes—
284#2352C2212yes—
285Q8×C4⋊C4C2212yes—
286#2349C2212yes—
287D4×C4⋊C4C2212yes—
288D4×C4⋊C4C2212yes—
289#2345C2212yes—
290#2345C2212yes—
291#2345C2212yes—
292#2341C2212yes—
293Q8×C22⋊C4C2212yes—
294Q8×C22⋊C4C2212yes—
295#2339C2212yes—
296#2331C2212yes—
297#2331C2212yes—
298#2328C2212yes—
299#2326C2212yes—
300#2326C2212yes—
301#2326C2212yes—
302#2324C2212yes—
303#2324C2212yes—
304#2324C2212yes—
305#2319C2212yes—
306#2319C2212yes—
307#2316C2212yes—
308#2311C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×#127C2211yescharacteristic
316C4×#127C2211yescharacteristic
317C4×#127C2211yescharacteristic
318C4×#127C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322#2275C2212yes—
323#2274C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C23×Q8C2312yes—
334#559—48no—
335#555—48no—
336#553—48no—
337#550—48no—
338#548—48no—
339#548—48no—
340#542—48no—
341#540—48no—
342#532—28no—
343#532—28no—
344C2×C4⋊Q8—28no—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×#127C2311yescharacteristic
354C2×#127C2311yescharacteristic
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2312yes—
360C2×#127C2312yes—
361C2×#127C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413#520—48no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2311yescharacteristic
462C2×#117C2314yes—
463C2×#117C2312yes—
464C2×#117C2314yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C42C2311yescharacteristic
472C22×C42C2311yescharacteristic
473C22×C42C2311yescharacteristic
474#401C2311yescharacteristic
475#401C2311yescharacteristic
476#400C2314yes—
477#400C2311yescharacteristic
478#400C2314yes—
479#400C2311yescharacteristic
480#400C2311yescharacteristic
481#400C2311yescharacteristic
482#400C2311yescharacteristic
483#400C2311yescharacteristic
484#400C2311yescharacteristic
485#400C2311yescharacteristic
486#400C2311yescharacteristic
487#400C2311yescharacteristic
488#400C2311yescharacteristic
489#400C2311yescharacteristic
490#400C2311yescharacteristic
491#400C2311yescharacteristic
492#400C2311yescharacteristic
493#399C2314yes—
494#399C2314yes—
495#399C2311yescharacteristic
496#399C2311yescharacteristic
497#399C2311yescharacteristic
498#398C2314yes—
499#398C2314yes—
500#398C2311yescharacteristic
501#398C2314yes—
502#398C2314yes—
503#398C2311yescharacteristic
504#398C2311yescharacteristic
505#398C2311yescharacteristic
506#398C2311yescharacteristic
507#398C2311yescharacteristic
508#398C2311yescharacteristic
509#398C2311yescharacteristic
510#398C2311yescharacteristic
511#398C2314yes—
512#398C2314yes—
513#397C2311yescharacteristic
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2311yescharacteristic
523#397C2311yescharacteristic
524#397C2311yescharacteristic
525#397C2311yescharacteristic
526#397C2311yescharacteristic
527#397C2311yescharacteristic
528#397C2311yescharacteristic
529#397C2311yescharacteristic
530#397C2311yescharacteristic
531#397C2311yescharacteristic
532#397C2311yescharacteristic
533#397C2311yescharacteristic
534#397C2311yescharacteristic
535#397C2311yescharacteristic
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2311yescharacteristic
544#396C2314yes—
545#396C2314yes—
546#396C2311yescharacteristic
547#396C2314yes—
548#396C2311yescharacteristic
549#396C2311yescharacteristic
550#396C2311yescharacteristic
551#396C2311yescharacteristic
552#395C2314yes—
553#395C2314yes—
554#395C2311yescharacteristic
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2311yescharacteristic
575#394C2311yescharacteristic
576#394C2311yescharacteristic
577#394C2311yescharacteristic
578#394C2311yescharacteristic
579#394C2311yescharacteristic
580#394C2311yescharacteristic
581#394C2311yescharacteristic
582#394C2311yescharacteristic
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2311yescharacteristic
599#393C2311yescharacteristic
600#393C2311yescharacteristic
601#393C2314yes—
602#393C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2311yescharacteristic
608#392C2314yes—
609#392C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2314yes—
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2314yes—
624#391C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2314yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#384C2311yescharacteristic
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2312yes—
773#384C2314yes—
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2312yes—
779#382C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2312yes—
783#381C2314yes—
784#381C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2314yes—
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2314yes—
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883C4×C22⋊C4C2311yescharacteristic
884C4×C22⋊C4C2311yescharacteristic
885C4×C22⋊C4C2311yescharacteristic
886C4×C22⋊C4C2311yescharacteristic
887#376C2311yescharacteristic
888#376C2311yescharacteristic
889#376C2311yescharacteristic
890#376C2311yescharacteristic
891#376C2311yescharacteristic
892#376C2311yescharacteristic
893C2×#95C2314yes—
894C43C2311yescharacteristic
895C43C2311yescharacteristic
896C43C2311yescharacteristic
897C43C2311yescharacteristic
898C2×#41—28no—
899C2×#41—28no—
900C2×#41—28no—
901C2×#41—44no—
902C2×#41—44no—
903C2×#41—44no—
904C22×Q8—28no—
905C22×Q8—44no—
906C22×Q8—44no—
907C22×Q8C2412yes—
908C22×Q8C2411yescharacteristic
909C22×Q8C2412yes—
910C22×Q8C2414yes—
911C22×Q8C2414yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2411yescharacteristic
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2414yes—
947C23×C4C2414yes—
948C4⋊Q8—28no—
949C4⋊Q8—28no—
950C4⋊Q8—28no—
951C4⋊Q8—24no—
952C4⋊Q8—44no—
953C4⋊Q8—44no—
954C4⋊Q8—44no—
955C4⋊Q8#4118yes—
956#127—24no—
957#127—24no—
958#127—28no—
959#127—44no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—44no—
964#127—48no—
965#126—48no—
966#126—48no—
967#125—44no—
968#125—44no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—48no—
973#124—48no—
974#124—44no—
975#124—44no—
976#124—44no—
977#124—48no—
978#124—48no—
979#124—48no—
980#124—48no—
981#123—48no—
982#123—48no—
983#123—48no—
984#123—48no—
985#123—48no—
986#123—48no—
987C22⋊Q8—28no—
988C22⋊Q8—48no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—44no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—48no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—42no—
1020C4×Q8—44no—
1021C4×Q8—44no—
1022C4×Q8—44no—
1023C4×Q8—44no—
1024C4×Q8—44no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—48no—
1037C4×D4—48no—
1038C4×D4—48no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—42no—
1051C4×D4—42no—
1052C4×D4—42no—
1053C4×D4—48no—
1054C4×D4—48no—
1055C4×D4—48no—
1056C4×D4—48no—
1057#117—24no—
1058#117—24no—
1059#117—28no—
1060#117—24no—
1061#117—24no—
1062#117—42no—
1063#117—42no—
1064#117—48no—
1065#117—48no—
1066#117—44no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—44no—
1070C2×C4⋊C4—48no—
1071C2×C4⋊C4—44no—
1072C2×C4⋊C4—44no—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—24no—
1212C2×C42C2414yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2411yescharacteristic
1306#95C2411yescharacteristic
1307#95C2411yescharacteristic
1308#95C2411yescharacteristic
1309#95C2411yescharacteristic
1310#95C2411yescharacteristic
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326C24C2514yes—
1327C24C2514yes—
1328C24C2511yescharacteristic
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331#41—432no—
1332#41—816no—
1333C2×Q8—24no—
1334C2×Q8—28no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—44no—
1343C2×Q8—44no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—44no—
1347C2×Q8—816no—
1348C2×Q8C2×#4118yes—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—44no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—28no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—28no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—28no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4H(5,𝔽2)14yes—
1456C22×C4H(5,𝔽2)14yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2514yes—
1478C22×C4C2514yes—
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—28no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—41no—
1537C4⋊C4—44no—
1538C4⋊C4—41no—
1539C4⋊C4—41no—
1540C4⋊C4—41no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—41no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4C2×#4118yes—
1556C4⋊C4C2×#4118yes—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—28no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—41no—
1597C22⋊C4—44no—
1598C22⋊C4—41no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—41no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—28no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—28no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—44no—
1661C42—44no—
1662C42—44no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C42C2×#4114yes—
1667C42H(5,𝔽2)14yes—
1668C422−1+414yes—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—24no—
1682C23—24no—
1683C23—21no—
1684C23—24no—
1685C23—21no—
1686C23—21no—
1687C23—24no—
1688C23—24no—
1689C23—24no—
1690C23—24no—
1691C23—21no—
1692C23—24no—
1693C23—21no—
1694C23—24no—
1695C23—24no—
1696C23—21no—
1697C23—21no—
1698C23—24no—
1699C23—24no—
1700C23—24no—
1701C23—24no—
1702C23C2×H(5,𝔽2)12yes—
1703C23C2×H(5,𝔽2)12yes—
1704C23C2611yescharacteristic
1705Q8—216no—
1706Q8—44no—
1707Q8—48no—
1708Q8—88no—
1709Q8—164no—
1710D4—44no—
1711D4—44no—
1712D4—416no—
1713D4—44no—
1714D4—48no—
1715D4—48no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—48no—
1720D4—88no—
1721D4—88no—
1722D4—88no—
1723D4—88no—
1724D4—88no—
1725D4—88no—
1726D4—164no—
1727D4—164no—
1728D4—164no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—28no—
1744C2×C4—28no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—24no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—416no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—88no—
1826C2×C4—88no—
1827C2×C4—88no—
1828C2×C4—164no—
1829C2×C4—164no—
1830C2×C4—164no—
1831C2×C4—164no—
1832C2×C4C22×#4118yes—
1833C2×C4C22×#4112yes—
1834C2×C4C22×#4112yes—
1835C2×C4C22×#4112yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4C2×H(5,𝔽2)12yes—
1839C2×C4C2×H(5,𝔽2)12yes—
1840C2×C4C2×H(5,𝔽2)12yes—
1841C2×C4C2×H(5,𝔽2)12yes—
1842C2×C4C2×H(5,𝔽2)12yes—
1843C2×C4C2×2−1+412yes—
1844C2×C4C2×2−1+412yes—
1845C2×C4C2×2−1+412yes—
1846C2×C4#58512yes—
1847C2×C4#58512yes—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—44no—
1863C22—41no—
1864C22—44no—
1865C22—41no—
1866C22—44no—
1867C22—44no—
1868C22—41no—
1869C22—44no—
1870C22—44no—
1871C22—44no—
1872C22—44no—
1873C22—44no—
1874C22—41no—
1875C22—44no—
1876C22—41no—
1877C22—41no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—44no—
1882C22—41no—
1883C22C23×#4111yescharacteristic
1884C22C22×H(5,𝔽2)11yescharacteristic
1885C22C22×H(5,𝔽2)11yescharacteristic
1886C22C22×H(5,𝔽2)11yescharacteristic
1887C22C22×2−1+411yescharacteristic
1888C22C2×#58511yescharacteristic
1889C22C2×#58511yescharacteristic
1890C4—22no—
1891C4—28no—
1892C4—22no—
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—41no—
1898C4—41no—
1899C4—44no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—44no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—44no—
1910C4—44no—
1911C4—41no—
1912C4—44no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4#351914yes—
1922C4#352214yes—
1923C4#352414yes—
1924C2—42no—
1925C2—42no—
1926C2—84no—
1927C2—81no—
1928C2—84no—
1929C2C2×#351911yescharacteristic
1930C2C2×#352211yescharacteristic
1931C2C2×#352411yescharacteristic
1932C2#6283411yescharacteristic
1933C2#6283411yescharacteristic
1934C2#6283511yescharacteristic
1935C2#6283511yescharacteristic
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. #45378C2semidirect
2. #45319C2semidirect
3. #45247C2semidirect
4. #45106C2semidirect
5. #45047C2semidirect
6. #45046C2semidirect
7. #45043C2semidirect
8. #44991C2semidirect
9. #44969C2semidirect
10. #44952C2semidirect
11. #44891C2semidirect
12. #44888C2semidirect
13. #42872C2semidirect
14. #42842C2semidirect
15. #42611C2semidirect
16. #42608C2semidirect
17. #42588C2semidirect
18. #42585C2semidirect
19. #36595C2semidirect
20. #36563C2semidirect
21. #36189C2semidirect
22. #36187C2semidirect
23. #36182C2semidirect
24. #36128C2semidirect
25. #36122C2semidirect
26. #36122C2semidirect
27. #35916C2semidirect
28. #35916C2semidirect
29. #35831C2semidirect
30. #35830C2semidirect
31. #35785C2semidirect
32. #35778C2semidirect
33. #35288C2semidirect
34. #35278C2semidirect
35. #35277C2semidirect
36. #34551C2semidirect
37. #34226C2semidirect
38. #34216C2semidirect
39. #34207C2semidirect

Maximal subgroups

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

subgroupindex
#453782
#453192
#452472
#451062
#450472
#450462
#450432
#449912
#449692
#449522
#448912
#448882
#428722
#428422
#426112
#426082
#425882
#425852
#365952
#365632
#361892
#361872
#361822
#361282
#361222
#359162
#358312
#358302
#357852
#357782
#352882
#352782
#352772
#345512
#342262
#342162
#342072