Finite Group Databasebeta

← #7712411

Subgroups — #7712411

Order 512.

4910 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59719C212yesmaximal, complemented
2#59510C212yesmaximal, complemented
3#59225C212yesmaximal, complemented
4#59208C212yesmaximal, complemented
5#46249C214yesmaximal, complemented
6#45557C214yesmaximal, complemented
7#39203C211yesmaximal, characteristic, complemented
8#39193C211yesmaximal, characteristic, complemented
9#38966C211yesmaximal, characteristic, complemented
10#38958C211yesmaximal, characteristic, complemented
11#38710C214yesmaximal, complemented
12#38514C214yesmaximal, complemented
13#38278C212yesmaximal, complemented
14#38264C212yesmaximal, complemented
15#38213C212yesmaximal, complemented
16#38203C212yesmaximal, complemented
17#38112C212yesmaximal, complemented
18#38100C212yesmaximal, complemented
19#37637C211yesmaximal, characteristic, complemented
20#37627C211yesmaximal, characteristic, complemented
21#37411C212yesmaximal, complemented
22#37403C212yesmaximal, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36207C212yesmaximal, complemented
26#36193C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic
28#36116C211yesmaximal, characteristic, complemented
29#36108C212yesmaximal, complemented
30D4×C22⋊Q8C211yesmaximal, characteristic, complemented
31#35311C212yesmaximal, complemented
32#35302C212yesmaximal, complemented
33#34487C211yesmaximal, characteristic, complemented
34#34485C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#529C2212yes—
39C22×C22⋊Q8C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2866C2212yescomplemented
43#2865C2212yescomplemented
44#2864C2212yescomplemented
45#2864C2211yescharacteristic, complemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2863C2211yescharacteristic, complemented
49#2862C2211yescharacteristic, complemented
50#2861C2211yescharacteristic, complemented
51#2860C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2855C2212yes—
56#2855C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2855C2211yescharacteristic
60#2854C2211yescharacteristic
61#2853C2212yes—
62#2852C2212yes—
63#2851C2212yes—
64#2851C2211yescharacteristic
65#2850C2211yescharacteristic
66#2848C2212yes—
67#2847C2212yes—
68#2837C2214yescomplemented
69#2831C2214yescomplemented
70#2808C2214yescomplemented
71#2798C2214yescomplemented
72#2797C2214yes—
73#2793C2214yescomplemented
74#2791C2214yescomplemented
75#2790C2214yescomplemented
76#2790C2214yescomplemented
77#2788C2214yescomplemented
78#2786C2214yes—
79#2783C2214yescomplemented
80#2779C2214yescomplemented
81#2779C2214yescomplemented
82#2775C2214yescomplemented
83#2770C2214yescomplemented
84#2769C2214yescomplemented
85#2768C2214yescomplemented
86#2761C2214yescomplemented
87#2761C2214yescomplemented
88#2757C2214yes—
89#2757C2214yescomplemented
90#2755C2214yescomplemented
91#2754C2214yescomplemented
92#2754C2214yescomplemented
93#2752C2214yes—
94#2751C2214yescomplemented
95#2749C2214yes—
96#2747C2214yescomplemented
97#2743C2214yescomplemented
98#2740C2214yes—
99#2739C2214yescomplemented
100#2700C2214yescomplemented
101#2700C2214yescomplemented
102#2651C2214yescomplemented
103#2647C2212yescomplemented
104#2644C2212yes—
105#2637C2214yescomplemented
106#2629C2212yescomplemented
107#2629C2212yescomplemented
108#2629C2212yescomplemented
109#2625C2212yescomplemented
110#2625C2212yescomplemented
111#2625C2212yescomplemented
112#2625C2212yescomplemented
113#2624C2212yes—
114#2620C2212yescomplemented
115#2620C2212yescomplemented
116#2612C2214yescomplemented
117#2609C2214yescomplemented
118#2609C2214yescomplemented
119#2603C2214yes—
120#2601C2214yescomplemented
121#2601C2214yescomplemented
122#2579C2214yes—
123#2575C2214yescomplemented
124#2571C2212yescomplemented
125#2570C2212yescomplemented
126#2567C2211yescharacteristic, complemented
127#2566C2212yes—
128#2563C2211yescharacteristic
129#2560C2214yescomplemented
130#2552C2211yescharacteristic, complemented
131#2552C2212yescomplemented
132#2552C2211yescharacteristic, complemented
133#2547C2211yescharacteristic, complemented
134#2542C2211yescharacteristic
135#2538C2211yescharacteristic
136#2537C2211yescharacteristic
137#2534C2214yes—
138#2532C2214yescomplemented
139#2529C2214yescomplemented
140#2526C2214yes—
141#2520C2214yescomplemented
142#2517C2214yescomplemented
143#2515C2214yescomplemented
144#2515C2214yescomplemented
145#2513C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2512C2214yescomplemented
149#2511C2212yescomplemented
150#2508C2212yescomplemented
151#2508C2212yescomplemented
152#2508C2212yescomplemented
153#2507C2212yescomplemented
154#2505C2214yes—
155#2504C2212yes—
156#2503C2214yes—
157#2502C2214yes—
158#2499C2212yescomplemented
159#2499C2214yescomplemented
160#2499C2214yescomplemented
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2496C2212yescomplemented
164#2495C2212yescomplemented
165#2495C2212yescomplemented
166#2490C2212yes—
167#2490C2212yes—
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2488C2214yes—
171#2486C2212yes—
172#2485C2212yes—
173#2484C2214yescomplemented
174#2484C2214yescomplemented
175#2483C2214yes—
176#2483C2214yes—
177#2482C2214yes—
178#2481C2214yescomplemented
179#2480C2214yes—
180#2478C2214yescomplemented
181#2477C2214yescomplemented
182#2472C2214yes—
183#2468C2214yescomplemented
184#2459C2214yes—
185#2454C2212yes—
186#2453C2212yescomplemented
187#2452C2212yes—
188#2450C2214yes—
189#2449C2214yes—
190#2447C2212yescomplemented
191#2442C2212yes—
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yes—
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2438C2214yes—
199#2437C2214yes—
200#2436C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2423C2212yescomplemented
204#2421C2212yescomplemented
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2419C2214yes—
209#2417C2212yes—
210#2414C2212yes—
211#2413C2214yes—
212#2412C2214yes—
213#2411C2214yes—
214#2409C2212yes—
215#2408C2212yes—
216#2379C2214yescomplemented
217#2378C2214yescomplemented
218#2373C2214yescomplemented
219#2370C2212yescomplemented
220#2369C2211yescharacteristic, complemented
221#2369C2212yescomplemented
222#2365C2211yescharacteristic, complemented
223#2363C2212yes—
224#2362C2212yescomplemented
225#2361C2212yes—
226#2361C2212yescomplemented
227#2358C2214yes—
228#2357C2212yes—
229#2355C2211yescharacteristic, complemented
230#2354C2211yescharacteristic
231#2352C2212yes—
232#2352C2214yescomplemented
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic, complemented
237#2346C2212yescomplemented
238#2346C2212yescomplemented
239#2344C2212yes—
240#2344C2212yescomplemented
241#2343C2214yes—
242Q8×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2212yes—
244#2332C2214yescomplemented
245#2331C2212yescomplemented
246#2326C2214yescomplemented
247#2324C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2319C2212yes—
253#2317C2212yescomplemented
254#2317C2212yescomplemented
255#2317C2212yescomplemented
256#2310C2212yescomplemented
257#2310C2212yescomplemented
258C4×C4⋊Q8C2211yescharacteristic, complemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×#125C2212yescomplemented
261C4×#125C2211yescharacteristic, complemented
262C4×#126C2212yescomplemented
263C4×#124C2211yescharacteristic, complemented
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×#123C2212yes—
268C4×#121C2211yescharacteristic
269#2298C2212yescomplemented
270#2295C2211yescharacteristic, complemented
271#2295C2212yescomplemented
272#2295C2212yescomplemented
273#2293C2211yescharacteristic
274#2293C2211yescharacteristic
275#2293C2212yes—
276#2293C2211yescharacteristic
277#2293C2212yes—
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic, complemented
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290#2290C2212yes—
291C2×#388C2212yes—
292C2×#388C2212yes—
293#2285C2212yes—
294#2283C2212yes—
295#2280C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303D4×Q8—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307#529—48no—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8—48no—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#120C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4—28no—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×#117—48no—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#392C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2314yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#384C2314yes—
709#384C2312yes—
710#383C2312yes—
711#383C2314yes—
712#383C2314yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#379C2314yes—
758#379C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858#126—44no—
859#126—48no—
860#126—48no—
861#125—42no—
862#125—44no—
863#125—44no—
864#125—44no—
865#124—216no—
866#124—42no—
867#124—44no—
868#123—44no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—28no—
881#121—28no—
882#121—24no—
883#121—44no—
884#121—44no—
885#120—48no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—48no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4#4118yes—
903#117—28no—
904#117—28no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—48no—
915#117—48no—
916#117—44no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—42no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4—44no—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—24no—
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42—42no—
1059C2×C42—42no—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—24no—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—816no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—416no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4C2×#4114yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—432no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4C2×#4118yes—
1271C22×C4H(5,𝔽2)14yes—
1272C22×C42−1+414yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4C2×#4114yes—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4C2×#4118yes—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—28no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42—41no—
1458C42—41no—
1459C42—41no—
1460C42—41no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—48no—
1492C23—48no—
1493C23—48no—
1494C23—48no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23C22×#4114yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×2−1+412yes—
1501C23#58512yes—
1502C23C2611yescharacteristic
1503Q8—48no—
1504Q8—44no—
1505Q8—84no—
1506Q8—88no—
1507D4—28no—
1508D4—48no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—88no—
1513D4—164no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—28no—
1525C2×C4—28no—
1526C2×C4—216no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×2−1+412yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—816no—
1653C22#354714yes—
1654C22C23×#4111yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C4—22no—
1662C4—24no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—44no—
1688C4—42no—
1689C4—41no—
1690C4#349514yes—
1691C4#351314yes—
1692C2—24no—
1693C2—44no—
1694C2—82no—
1695C2—82no—
1696C2C2×#354711yescharacteristic
1697C2#6275911yescharacteristic
1698C2C2×#351311yescharacteristic
1699C2C2×#349511yescharacteristic
1700C2#6281011yescharacteristic
1701C2#6282711yescharacteristic
1702C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36160C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59719C2semidirect
2. #59510C2semidirect
3. #59225C2semidirect
4. #59208C2semidirect
5. #46249C2semidirect
6. #45557C2semidirect
7. #39203C2semidirect
8. #39193C2semidirect
9. #38966C2semidirect
10. #38958C2semidirect
11. #38710C2semidirect
12. #38514C2semidirect
13. #38278C2semidirect
14. #38264C2semidirect
15. #38213C2semidirect
16. #38203C2semidirect
17. #38112C2semidirect
18. #38100C2semidirect
19. #37637C2semidirect
20. #37627C2semidirect
21. #37411C2semidirect
22. #37403C2semidirect
23. #36638C2semidirect
24. #36635C2semidirect
25. #36207C2semidirect
26. #36193C2semidirect
28. #36116C2semidirect
29. #36108C2semidirect
30. D4×C22⋊Q8C2semidirect
31. #35311C2semidirect
32. #35302C2semidirect
33. #34487C2semidirect
34. #34485C2semidirect
35. C2×#2293C2semidirect
42. #2866C22semidirect
43. #2865C22semidirect
44. #2864C22semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2863C22semidirect
49. #2862C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
68. #2837C22semidirect
69. #2831C22semidirect
70. #2808C22semidirect
71. #2798C22semidirect
73. #2793C22semidirect
74. #2791C22semidirect
75. #2790C22semidirect
76. #2790C22semidirect
77. #2788C22semidirect
79. #2783C22semidirect
80. #2779C22semidirect
81. #2779C22semidirect
82. #2775C22semidirect
83. #2770C22semidirect
84. #2769C22semidirect
85. #2768C22semidirect
86. #2761C22semidirect
87. #2761C22semidirect
89. #2757C22semidirect
90. #2755C22semidirect
91. #2754C22semidirect
92. #2754C22semidirect
94. #2751C22semidirect
96. #2747C22semidirect
97. #2743C22semidirect
99. #2739C22semidirect
100. #2700C22semidirect
101. #2700C22semidirect
102. #2651C22semidirect
103. #2647C22semidirect
105. #2637C22semidirect
106. #2629C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
109. #2625C22semidirect
110. #2625C22semidirect
111. #2625C22semidirect
112. #2625C22semidirect
114. #2620C22semidirect
115. #2620C22semidirect
116. #2612C22semidirect
117. #2609C22semidirect
118. #2609C22semidirect
120. #2601C22semidirect
121. #2601C22semidirect
123. #2575C22semidirect
124. #2571C22semidirect
125. #2570C22semidirect
126. #2567C22semidirect
129. #2560C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2547C22semidirect
138. #2532C22semidirect
139. #2529C22semidirect
141. #2520C22semidirect
142. #2517C22semidirect
143. #2515C22semidirect
144. #2515C22semidirect
148. #2512C22semidirect
149. #2511C22semidirect
150. #2508C22semidirect
151. #2508C22semidirect
152. #2508C22semidirect
153. #2507C22semidirect
158. #2499C22semidirect
159. #2499C22semidirect
160. #2499C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2496C22semidirect
164. #2495C22semidirect
165. #2495C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
173. #2484C22semidirect
174. #2484C22semidirect
178. #2481C22semidirect
180. #2478C22semidirect
181. #2477C22semidirect
183. #2468C22semidirect
186. #2453C22semidirect
190. #2447C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
200. #2436C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2423C22semidirect
204. #2421C22semidirect
216. #2379C22semidirect
217. #2378C22semidirect
218. #2373C22semidirect
219. #2370C22semidirect
220. #2369C22semidirect
221. #2369C22semidirect
222. #2365C22semidirect
224. #2362C22semidirect
226. #2361C22semidirect
229. #2355C22semidirect
232. #2352C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2346C22semidirect
238. #2346C22semidirect
240. #2344C22semidirect
242. Q8×C22⋊C4C22semidirect
244. #2332C22semidirect
245. #2331C22semidirect
246. #2326C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
253. #2317C22semidirect
254. #2317C22semidirect
255. #2317C22semidirect
256. #2310C22semidirect
257. #2310C22semidirect
258. C4×C4⋊Q8C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×#125C22semidirect
261. C4×#125C22semidirect
262. C4×#126C22semidirect
263. C4×#124C22semidirect
269. #2298C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
272. #2295C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#597192
#595102
#592252
#592082
#462492
#455572
#392032
#391932
#389662
#389582
#387102
#385142
#382782
#382642
#382132
#382032
#381122
#381002
#376372
#376272
#374112
#374032
#366382
#366352
#362072
#361932
#361602
#361162
#361082
D4×C22⋊Q82
#353112
#353022
#344872
#344852
C2×#22932