Finite Group Databasebeta

← #7986088

Subgroups — #7986088

Order 512.

5006 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59484C212yesmaximal, complemented
2#59458C211yesmaximal, characteristic, complemented
3#59416C212yesmaximal, complemented
4#59143C211yesmaximal, characteristic, complemented
5#59064C211yesmaximal, characteristic, complemented
6#48977C214yesmaximal, complemented
7#48944C214yesmaximal, complemented
8#45865C214yesmaximal, complemented
9#45214C212yesmaximal, complemented
10#45211C212yesmaximal, complemented
11#45209C212yesmaximal, complemented
12#45171C212yesmaximal, complemented
13#42749C212yesmaximal, complemented
14#42742C212yesmaximal, complemented
15#42642C212yesmaximal, complemented
16#42634C212yesmaximal, complemented
17#39736C211yesmaximal, characteristic, complemented
18#39284C212yesmaximal, complemented
19#39163C212yesmaximal, complemented
20#39159C211yesmaximal, characteristic, complemented
21#39038C214yesmaximal, complemented
22#38943C211yesmaximal, characteristic, complemented
23#38941C211yesmaximal, characteristic, complemented
24#36591C211yesmaximal, characteristic, complemented
25#36271C211yesmaximal, characteristic, complemented
26#36240C212yesmaximal, complemented
27#36238C212yesmaximal, complemented
28#36121C211yesmaximal, characteristic
29#35219C212yesmaximal, complemented
30#35193C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34898C211yesmaximal, characteristic, complemented
33#34393C211yesmaximal, characteristic, complemented
34#34364C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×#546C2212yes—
40C2×#532C2211yescharacteristic
41C22×#127C2211yescharacteristic
42#2861C2212yescomplemented
43#2860C2212yescomplemented
44#2858C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2853C2214yescomplemented
48#2852C2214yescomplemented
49#2850C2214yescomplemented
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2782C2214yescomplemented
53#2779C2214yescomplemented
54#2778C2214yescomplemented
55#2769C2214yescomplemented
56#2761C2214yescomplemented
57#2758C2214yescomplemented
58#2753C2214yescomplemented
59#2750C2214yescomplemented
60#2750C2214yescomplemented
61#2749C2214yescomplemented
62#2749C2214yescomplemented
63#2745C2214yes—
64#2744C2214yes—
65#2743C2214yescomplemented
66#2743C2214yescomplemented
67#2743C2214yescomplemented
68#2737C2214yescomplemented
69#2736C2214yes—
70#2735C2214yes—
71#2735C2214yes—
72#2730C2214yescomplemented
73#2728C2214yescomplemented
74#2728C2214yescomplemented
75#2709C2214yes—
76#2708C2214yescomplemented
77#2702C2214yescomplemented
78#2702C2214yescomplemented
79#2702C2214yescomplemented
80#2692C2214yescomplemented
81#2691C2214yescomplemented
82#2687C2214yescomplemented
83#2686C2214yescomplemented
84#2685C2214yes—
85#2653C2214yescomplemented
86#2653C2214yescomplemented
87#2649C2214yescomplemented
88#2648C2214yescomplemented
89#2645C2212yescomplemented
90#2643C2214yescomplemented
91#2642C2212yescomplemented
92#2640C2212yescomplemented
93#2626C2214yes—
94#2620C2212yescomplemented
95#2601C2214yescomplemented
96#2595C2214yescomplemented
97#2592C2212yescomplemented
98#2591C2214yescomplemented
99#2580C2212yescomplemented
100#2578C2214yescomplemented
101#2577C2212yescomplemented
102#2576C2214yescomplemented
103#2576C2214yescomplemented
104#2575C2212yes—
105#2573C2212yes—
106#2573C2212yescomplemented
107#2572C2214yescomplemented
108#2572C2214yescomplemented
109#2571C2212yescomplemented
110#2571C2211yescharacteristic, complemented
111#2570C2211yescharacteristic, complemented
112#2568C2211yescharacteristic, complemented
113#2568C2212yescomplemented
114#2568C2211yescharacteristic, complemented
115#2566C2212yescomplemented
116#2565C2211yescharacteristic, complemented
117#2563C2212yescomplemented
118#2562C2211yescharacteristic
119#2561C2214yes—
120#2560C2214yescomplemented
121#2559C2214yescomplemented
122#2557C2214yescomplemented
123#2553C2214yescomplemented
124#2553C2214yescomplemented
125#2552C2211yescharacteristic, complemented
126#2551C2211yescharacteristic, complemented
127#2548C2211yescharacteristic
128#2548C2211yescharacteristic
129#2547C2211yescharacteristic
130#2547C2212yescomplemented
131#2546C2211yescharacteristic, complemented
132#2545C2212yescomplemented
133#2544C2212yes—
134#2544C2212yes—
135#2544C2212yes—
136#2542C2212yescomplemented
137#2538C2211yescharacteristic
138#2536C2211yescharacteristic
139#2524C2212yescomplemented
140#2516C2214yescomplemented
141#2514C2212yescomplemented
142#2514C2212yescomplemented
143#2513C2212yescomplemented
144#2513C2212yescomplemented
145#2512C2212yescomplemented
146#2512C2212yescomplemented
147#2512C2212yescomplemented
148#2510C2214yescomplemented
149#2510C2214yescomplemented
150#2508C2212yescomplemented
151#2497C2212yes—
152#2496C2211yescharacteristic
153#2495C2212yes—
154#2495C2212yes—
155#2495C2211yescharacteristic, complemented
156#2494C2211yescharacteristic
157#2494C2211yescharacteristic, complemented
158#2492C2212yes—
159#2492C2212yes—
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2490C2212yescomplemented
163#2489C2212yes—
164#2488C2214yescomplemented
165#2488C2214yescomplemented
166#2488C2214yescomplemented
167#2483C2214yes—
168#2481C2214yescomplemented
169#2481C2214yescomplemented
170#2480C2214yes—
171#2480C2214yes—
172#2480C2214yes—
173#2480C2214yes—
174#2477C2214yescomplemented
175#2477C2214yescomplemented
176#2476C2214yescomplemented
177#2472C2214yes—
178#2472C2214yes—
179#2472C2214yes—
180#2468C2212yes—
181#2454C2212yescomplemented
182#2452C2212yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2449C2214yescomplemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2447C2212yes—
190#2447C2212yescomplemented
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2447C2212yescomplemented
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2435C2212yes—
199#2435C2212yes—
200#2435C2212yes—
201#2432C2212yescomplemented
202#2431C2212yes—
203#2429C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2212yescomplemented
207#2427C2212yescomplemented
208#2423C2211yescharacteristic
209#2421C2212yes—
210#2421C2211yescharacteristic
211#2421C2211yescharacteristic, complemented
212#2421C2211yescharacteristic, complemented
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2420C2212yescomplemented
216#2419C2214yescomplemented
217#2408C2212yes—
218#2408C2212yes—
219#2405C2214yes—
220#2402C2212yescomplemented
221#2401C2212yes—
222#2401C2212yescomplemented
223#2395C2212yes—
224#2380C2214yes—
225#2377C2214yescomplemented
226#2374C2214yescomplemented
227#2367C2212yescomplemented
228#2367C2212yescomplemented
229#2367C2212yescomplemented
230#2367C2212yescomplemented
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2365C2211yescharacteristic, complemented
237#2365C2211yescharacteristic, complemented
238#2357C2212yescomplemented
239#2357C2212yescomplemented
240#2357C2212yescomplemented
241#2357C2212yescomplemented
242#2355C2211yescharacteristic, complemented
243#2355C2211yescharacteristic, complemented
244#2349C2212yescomplemented
245#2349C2212yescomplemented
246D4×C4⋊C4C2212yescomplemented
247#2342C2214yes—
248#2341C2212yescomplemented
249#2339C2212yescomplemented
250#2339C2212yescomplemented
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2331C2212yescomplemented
260#2328C2212yes—
261#2328C2212yes—
262#2328C2212yes—
263#2328C2212yes—
264#2326C2212yescomplemented
265#2326C2212yescomplemented
266#2324C2212yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2320C2212yescomplemented
270#2319C2212yescomplemented
271#2318C2214yescomplemented
272#2308C2214yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic, complemented
276C4×#126C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2214yescomplemented
286#2298C2212yescomplemented
287#2295C2212yescomplemented
288#2293C2212yescomplemented
289C2×#388C2214yes—
290#2285C2211yescharacteristic, complemented
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2212yescomplemented
298C42×D4C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—28no—
304#556—48no—
305#554—48no—
306#546—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127—28no—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#120C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2314yes—
393#401C2312yes—
394#401C2314yes—
395#401C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2312yes—
697#383C2312yes—
698#383C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2314yes—
722#381C2314yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2414yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—82no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#127—28no—
866#127—28no—
867#127—28no—
868#127—24no—
869#127#4118yes—
870#126—48no—
871#126—44no—
872#126—48no—
873#126—84no—
874#125—24no—
875#125—44no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—28no—
880#124—44no—
881#124—44no—
882#124—44no—
883#124—44no—
884#124—84no—
885#123—216no—
886#123—48no—
887#123—84no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—42no—
893C22⋊Q8—42no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—84no—
898#121—28no—
899#121—28no—
900#121—48no—
901#121—44no—
902#121—44no—
903#121—82no—
904#120—48no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—82no—
934#117—44no—
935#117—48no—
936C2×C4⋊C4—48no—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C22⋊C4—48no—
997C2×C22⋊C4—48no—
998C2×C22⋊C4—48no—
999C2×C22⋊C4—84no—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—84no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175C24—28no—
1176C24—28no—
1177C24—44no—
1178C24—44no—
1179C24—44no—
1180C24—44no—
1181C24—44no—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184C24C2514yes—
1185C24C2511yescharacteristic
1186#41—816no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×D4—22no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—41no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—816no—
1236C2×D4—816no—
1237C2×D4—816no—
1238C2×D4C2×#4118yes—
1239C2×D4C2×#4118yes—
1240C2×D4C2×#4118yes—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—28no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—41no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—22no—
1387C22⋊C4—28no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—41no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—41no—
1458C42—41no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—42no—
1464C42—42no—
1465C42C2×#4114yes—
1466C42H(5,𝔽2)14yes—
1467C23—21no—
1468C23—21no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—24no—
1474C23—24no—
1475C23—21no—
1476C23—24no—
1477C23—21no—
1478C23—24no—
1479C23—21no—
1480C23—24no—
1481C23—24no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—24no—
1486C23—24no—
1487C23—21no—
1488C23—21no—
1489C23—24no—
1490C23—24no—
1491C23—24no—
1492C23—21no—
1493C23—416no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—164no—
1499C23—164no—
1500C23C22×#4118yes—
1501C23#58512yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—48no—
1505Q8—44no—
1506Q8—84no—
1507Q8—164no—
1508D4—216no—
1509D4—216no—
1510D4—48no—
1511D4—44no—
1512D4—48no—
1513D4—48no—
1514D4—84no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—164no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4—164no—
1617C2×C4—164no—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—22no—
1628C22—28no—
1629C22—22no—
1630C22—22no—
1631C22—28no—
1632C22—28no—
1633C22—44no—
1634C22—44no—
1635C22—41no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—44no—
1640C22—41no—
1641C22—41no—
1642C22—44no—
1643C22—44no—
1644C22—41no—
1645C22—44no—
1646C22—41no—
1647C22—41no—
1648C22—44no—
1649C22—41no—
1650C22—44no—
1651C22—41no—
1652C22—44no—
1653C22—41no—
1654C22—44no—
1655C22—1616no—
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—44no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4#351414yes—
1693C4#352114yes—
1694C2—48no—
1695C2—42no—
1696C2—81no—
1697C2—84no—
1698C2#6274811yescharacteristic
1699C2C2×#351411yescharacteristic
1700C2C2×#352111yescharacteristic
1701C2#6296111yescharacteristic
1702C2#6296911yescharacteristic
1703C2#6299011yescharacteristic
1704C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59484C2semidirect
2. #59458C2semidirect
3. #59416C2semidirect
4. #59143C2semidirect
5. #59064C2semidirect
6. #48977C2semidirect
7. #48944C2semidirect
8. #45865C2semidirect
9. #45214C2semidirect
10. #45211C2semidirect
11. #45209C2semidirect
12. #45171C2semidirect
13. #42749C2semidirect
14. #42742C2semidirect
15. #42642C2semidirect
16. #42634C2semidirect
17. #39736C2semidirect
18. #39284C2semidirect
19. #39163C2semidirect
20. #39159C2semidirect
21. #39038C2semidirect
22. #38943C2semidirect
23. #38941C2semidirect
24. #36591C2semidirect
25. #36271C2semidirect
26. #36240C2semidirect
27. #36238C2semidirect
29. #35219C2semidirect
30. #35193C2semidirect
31. #34945C2semidirect
32. #34898C2semidirect
33. #34393C2semidirect
34. #34364C2semidirect
35. C4×#559C2semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
42. #2861C22semidirect
43. #2860C22semidirect
47. #2853C22semidirect
48. #2852C22semidirect
49. #2850C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2782C22semidirect
53. #2779C22semidirect
54. #2778C22semidirect
55. #2769C22semidirect
56. #2761C22semidirect
57. #2758C22semidirect
58. #2753C22semidirect
59. #2750C22semidirect
60. #2750C22semidirect
61. #2749C22semidirect
62. #2749C22semidirect
65. #2743C22semidirect
66. #2743C22semidirect
67. #2743C22semidirect
68. #2737C22semidirect
72. #2730C22semidirect
73. #2728C22semidirect
74. #2728C22semidirect
76. #2708C22semidirect
77. #2702C22semidirect
78. #2702C22semidirect
79. #2702C22semidirect
80. #2692C22semidirect
81. #2691C22semidirect
82. #2687C22semidirect
83. #2686C22semidirect
85. #2653C22semidirect
86. #2653C22semidirect
87. #2649C22semidirect
88. #2648C22semidirect
89. #2645C22semidirect
90. #2643C22semidirect
91. #2642C22semidirect
92. #2640C22semidirect
94. #2620C22semidirect
95. #2601C22semidirect
96. #2595C22semidirect
97. #2592C22semidirect
98. #2591C22semidirect
99. #2580C22semidirect
100. #2578C22semidirect
101. #2577C22semidirect
102. #2576C22semidirect
103. #2576C22semidirect
106. #2573C22semidirect
107. #2572C22semidirect
108. #2572C22semidirect
109. #2571C22semidirect
110. #2571C22semidirect
111. #2570C22semidirect
112. #2568C22semidirect
113. #2568C22semidirect
114. #2568C22semidirect
115. #2566C22semidirect
116. #2565C22semidirect
117. #2563C22semidirect
120. #2560C22semidirect
121. #2559C22semidirect
122. #2557C22semidirect
123. #2553C22semidirect
124. #2553C22semidirect
125. #2552C22semidirect
126. #2551C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
132. #2545C22semidirect
136. #2542C22semidirect
139. #2524C22semidirect
140. #2516C22semidirect
141. #2514C22semidirect
142. #2514C22semidirect
143. #2513C22semidirect
144. #2513C22semidirect
145. #2512C22semidirect
146. #2512C22semidirect
147. #2512C22semidirect
148. #2510C22semidirect
149. #2510C22semidirect
150. #2508C22semidirect
155. #2495C22semidirect
157. #2494C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2490C22semidirect
164. #2488C22semidirect
165. #2488C22semidirect
166. #2488C22semidirect
168. #2481C22semidirect
169. #2481C22semidirect
174. #2477C22semidirect
175. #2477C22semidirect
176. #2476C22semidirect
181. #2454C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2449C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2447C22semidirect
201. #2432C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
216. #2419C22semidirect
220. #2402C22semidirect
222. #2401C22semidirect
225. #2377C22semidirect
226. #2374C22semidirect
227. #2367C22semidirect
228. #2367C22semidirect
229. #2367C22semidirect
230. #2367C22semidirect
236. #2365C22semidirect
237. #2365C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2357C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
244. #2349C22semidirect
245. #2349C22semidirect
246. D4×C4⋊C4C22semidirect
248. #2341C22semidirect
249. #2339C22semidirect
250. #2339C22semidirect
259. #2331C22semidirect
264. #2326C22semidirect
265. #2326C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2320C22semidirect
270. #2319C22semidirect
271. #2318C22semidirect
273. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
286. #2298C22semidirect
287. #2295C22semidirect
288. #2293C22semidirect
290. #2285C22semidirect
293. #2283C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594842
#594582
#594162
#591432
#590642
#489772
#489442
#458652
#452142
#452112
#452092
#451712
#427492
#427422
#426422
#426342
#397362
#392842
#391632
#391592
#390382
#389432
#389412
#365912
#362712
#362402
#362382
#361212
#352192
#351932
#349452
#348982
#343932
#343642
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