Finite Group Databasebeta

← #7651316

Subgroups — #7651316

Order 512.

5041 conjugacy classes of subgroups.

The subgroup lattice has 1779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42776C212yesmaximal, complemented
3#42776C212yesmaximal, complemented
4#42769C212yesmaximal, complemented
5#42741C212yesmaximal, complemented
6#42708C212yesmaximal, complemented
7#42708C212yesmaximal, complemented
8#42550C212yesmaximal, complemented
9#41395C214yesmaximal, complemented
10#40565C214yesmaximal, complemented
11#40193C212yesmaximal, complemented
12#40103C212yesmaximal, complemented
13#40079C212yesmaximal, complemented
14#40079C212yesmaximal, complemented
15#39656C212yesmaximal, complemented
16#39656C212yesmaximal, complemented
17#39531C212yesmaximal, complemented
18#38998C212yesmaximal, complemented
19#38394C214yesmaximal, complemented
20#38067C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35667C211yesmaximal, characteristic, complemented
23#35634C211yesmaximal, characteristic
24#35633C211yesmaximal, characteristic, complemented
25#35619C211yesmaximal, characteristic, complemented
26#35585C211yesmaximal, characteristic, complemented
27#35316C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35153C211yesmaximal, characteristic, complemented
30#34810C211yesmaximal, characteristic, complemented
31#34742C211yesmaximal, characteristic, complemented
32C2×#2429C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34187C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C22×C22⋊Q8C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#519C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×Q8C2211yescharacteristic
50C22×#117C2211yescharacteristic
51#2857C2212yes—
52#2857C2212yescomplemented
53#2857C2212yescomplemented
54#2854C2214yes—
55#2850C2212yes—
56#2836C2214yes—
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2829C2214yes—
60#2800C2214yes—
61#2800C2214yes—
62#2791C2214yescomplemented
63#2791C2214yescomplemented
64#2791C2214yescomplemented
65#2791C2214yescomplemented
66#2786C2214yescomplemented
67#2786C2214yescomplemented
68#2780C2214yes—
69#2780C2214yes—
70#2777C2214yes—
71#2777C2214yescomplemented
72#2777C2214yescomplemented
73#2773C2214yes—
74#2773C2214yescomplemented
75#2773C2214yescomplemented
76#2768C2214yes—
77#2768C2214yescomplemented
78#2768C2214yescomplemented
79#2761C2214yes—
80#2761C2214yes—
81#2756C2214yes—
82#2753C2214yes—
83#2749C2214yes—
84#2740C2214yescomplemented
85#2740C2214yescomplemented
86#2738C2214yes—
87#2738C2214yescomplemented
88#2738C2214yescomplemented
89#2707C2214yes—
90#2707C2214yes—
91#2706C2214yes—
92#2667C2214yes—
93#2667C2214yescomplemented
94#2667C2214yescomplemented
95#2654C2214yes—
96#2654C2214yescomplemented
97#2654C2214yescomplemented
98#2651C2214yes—
99#2651C2214yes—
100#2648C2214yes—
101#2647C2214yescomplemented
102#2644C2214yescomplemented
103#2630C2214yes—
104#2621C2212yes—
105#2621C2212yescomplemented
106#2621C2212yescomplemented
107#2620C2212yes—
108#2618C2214yes—
109#2569C2214yes—
110#2547C2212yescomplemented
111#2547C2212yescomplemented
112#2546C2212yescomplemented
113#2546C2212yescomplemented
114#2546C2212yescomplemented
115#2546C2212yescomplemented
116#2545C2212yescomplemented
117#2545C2212yescomplemented
118#2542C2212yes—
119#2542C2212yes—
120#2542C2212yes—
121#2542C2212yes—
122#2540C2212yes—
123#2540C2212yes—
124#2540C2212yes—
125#2540C2212yes—
126#2539C2214yes—
127#2534C2214yes—
128#2531C2214yes—
129#2531C2214yes—
130#2526C2214yes—
131#2526C2214yes—
132#2522C2214yes—
133#2522C2214yescomplemented
134#2522C2214yescomplemented
135#2513C2214yescomplemented
136#2509C2212yescomplemented
137#2509C2212yescomplemented
138#2508C2212yescomplemented
139#2508C2212yescomplemented
140#2507C2212yescomplemented
141#2507C2212yescomplemented
142#2507C2214yescomplemented
143#2507C2214yescomplemented
144#2506C2212yescomplemented
145#2506C2212yescomplemented
146#2504C2211yescharacteristic
147#2503C2211yescharacteristic
148#2503C2212yescomplemented
149#2502C2211yescharacteristic
150#2502C2212yescomplemented
151#2501C2214yes—
152#2501C2211yescharacteristic
153#2500C2211yescharacteristic
154#2500C2211yescharacteristic
155#2499C2211yescharacteristic
156#2499C2211yescharacteristic
157#2499C2212yescomplemented
158#2499C2212yescomplemented
159#2498C2214yes—
160#2498C2214yes—
161#2498C2212yes—
162#2498C2212yes—
163#2486C2214yes—
164#2486C2214yes—
165#2486C2214yes—
166#2457C2214yes—
167#2454C2214yescomplemented
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2447C2212yescomplemented
171#2447C2212yescomplemented
172#2446C2212yescomplemented
173#2446C2212yescomplemented
174#2446C2212yescomplemented
175#2446C2212yescomplemented
176#2442C2214yes—
177#2429C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yescomplemented
188#2429C2212yescomplemented
189#2429C2212yescomplemented
190#2429C2212yescomplemented
191#2429C2212yescomplemented
192#2429C2212yescomplemented
193#2429C2212yescomplemented
194#2429C2212yescomplemented
195#2427C2212yes—
196#2427C2212yes—
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2423C2211yescharacteristic
202#2423C2211yescharacteristic
203#2423C2212yescomplemented
204#2423C2212yescomplemented
205#2422C2211yescharacteristic
206#2422C2211yescharacteristic
207#2421C2211yescharacteristic
208#2421C2211yescharacteristic
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2420C2211yescharacteristic
212#2420C2211yescharacteristic
213#2419C2214yes—
214#2419C2214yes—
215#2419C2212yes—
216#2419C2212yes—
217#2418C2212yes—
218#2418C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2415C2212yes—
224#2415C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2413C2214yes—
228#2413C2214yes—
229#2413C2214yes—
230#2412C2212yes—
231#2412C2214yes—
232#2412C2212yes—
233#2395C2212yes—
234#2395C2212yes—
235#2395C2212yes—
236#2395C2212yes—
237C2×#398C2212yes—
238C2×#396C2212yes—
239#2364C2214yes—
240#2363C2212yescomplemented
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yescomplemented
244#2361C2214yes—
245#2361C2212yescomplemented
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yescomplemented
249#2356C2212yescomplemented
250#2356C2212yescomplemented
251#2356C2212yescomplemented
252#2356C2212yescomplemented
253#2355C2212yescomplemented
254#2355C2212yescomplemented
255#2355C2212yescomplemented
256#2355C2212yescomplemented
257#2344C2214yes—
258#2342C2214yes—
259#2335C2214yes—
260#2335C2214yes—
261#2330C2214yescomplemented
262#2324C2212yescomplemented
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yescomplemented
266#2319C2214yescomplemented
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2313C2214yes—
271#2311C2211yescharacteristic
272#2310C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#123C2212yes—
281C4×#123C2212yes—
282C4×#121C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yes—
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2214yes—
295#2280C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#537—28no—
305#536—44no—
306#536—44no—
307#536—44no—
308#536—44no—
309C2×C4⋊Q8—44no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323#525—44no—
324#525—44no—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8—28no—
336C2×C22⋊Q8—44no—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#120C2312yes—
367C2×#120C2312yes—
368#520—44no—
369#519—44no—
370C4×#41—44no—
371C2×C4×Q8—28no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×#117—44no—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2312yes—
424C22×C42C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2312yes—
447#399C2312yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#392C2314yes—
540#392C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#384C2312yes—
722#384C2314yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2314yes—
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2314yes—
734#382C2314yes—
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2312yes—
748#381C2312yes—
749#381C2312yes—
750#381C2314yes—
751#381C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2314yes—
819#376C2314yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C25C2411yescharacteristic
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8—24no—
837C22×Q8—24no—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885#125—48no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—44no—
890#123—28no—
891#123—28no—
892#123—44no—
893#123—44no—
894#123—44no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—42no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922#121—216no—
923#121—28no—
924#121—28no—
925#121—42no—
926#121—42no—
927#121—42no—
928#121—42no—
929#120—44no—
930#120—44no—
931C4×Q8—28no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—28no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—42no—
964#117—42no—
965#117—44no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—42no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4#4118yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C22⋊C4—28no—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C42—28no—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42—44no—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24C2511yescharacteristic
1221C24C2512yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225#41—416no—
1226#41—416no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—22no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—416no—
1246C2×Q8—416no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—416no—
1334C22×C4C2×#4118yes—
1335C22×C4C2×#4114yes—
1336C22×C4H(5,𝔽2)14yes—
1337C22×C4H(5,𝔽2)14yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2514yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C4⋊C4—28no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4C2×#4118yes—
1437C4⋊C4C2×#4118yes—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C42−1+414yes—
1497C42—22no—
1498C42—22no—
1499C42—28no—
1500C42—22no—
1501C42—22no—
1502C42—28no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—21no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23C22×#4112yes—
1563C23C2×H(5,𝔽2)12yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23C2×2−1+412yes—
1566C23C2611yescharacteristic
1567Q8—48no—
1568Q8—48no—
1569Q8—48no—
1570Q8—48no—
1571Q8—44no—
1572Q8—44no—
1573D4—48no—
1574D4—48no—
1575D4—44no—
1576D4—44no—
1577D4—88no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—48no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—82no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—164no—
1682C2×C4#540116yes—
1683C2×C4C22×#4118yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4#58512yes—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—42no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—88no—
1728C22C2×#54014yes—
1729C22C23×#4111yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C22×2−1+411yescharacteristic
1733C22C2×#58511yescharacteristic
1734C222−1+611yescharacteristic
1735C222−1+611yescharacteristic
1736C4—28no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—41no—
1753C4—42no—
1754C4—42no—
1755C4—44no—
1756C4—44no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—44no—
1762C4—42no—
1763C4—42no—
1764C4C2×#54014yes—
1765C4C2×#54014yes—
1766C2—24no—
1767C2—42no—
1768C2—82no—
1769C2—82no—
1770C2—81no—
1771C2C22×#54011yescharacteristic
1772C2#6283511yescharacteristic
1773C2#6288811yescharacteristic
1774C2#6294211yescharacteristic
1775C2#6295411yescharacteristic
1776C2#6299111yescharacteristic
1777C2#6299811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35634C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42784C2semidirect
2. #42776C2semidirect
3. #42776C2semidirect
4. #42769C2semidirect
5. #42741C2semidirect
6. #42708C2semidirect
7. #42708C2semidirect
8. #42550C2semidirect
9. #41395C2semidirect
10. #40565C2semidirect
11. #40193C2semidirect
12. #40103C2semidirect
13. #40079C2semidirect
14. #40079C2semidirect
15. #39656C2semidirect
16. #39656C2semidirect
17. #39531C2semidirect
18. #38998C2semidirect
19. #38394C2semidirect
20. #38067C2semidirect
21. #35673C2semidirect
22. #35667C2semidirect
24. #35633C2semidirect
25. #35619C2semidirect
26. #35585C2semidirect
27. #35316C2semidirect
28. #35306C2semidirect
29. #35153C2semidirect
30. #34810C2semidirect
31. #34742C2semidirect
32. C2×#2429C2semidirect
33. #34267C2semidirect
34. #34203C2semidirect
35. #34187C2semidirect
52. #2857C22semidirect
53. #2857C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
62. #2791C22semidirect
63. #2791C22semidirect
64. #2791C22semidirect
65. #2791C22semidirect
66. #2786C22semidirect
67. #2786C22semidirect
71. #2777C22semidirect
72. #2777C22semidirect
74. #2773C22semidirect
75. #2773C22semidirect
77. #2768C22semidirect
78. #2768C22semidirect
84. #2740C22semidirect
85. #2740C22semidirect
87. #2738C22semidirect
88. #2738C22semidirect
93. #2667C22semidirect
94. #2667C22semidirect
96. #2654C22semidirect
97. #2654C22semidirect
101. #2647C22semidirect
102. #2644C22semidirect
105. #2621C22semidirect
106. #2621C22semidirect
110. #2547C22semidirect
111. #2547C22semidirect
112. #2546C22semidirect
113. #2546C22semidirect
114. #2546C22semidirect
115. #2546C22semidirect
116. #2545C22semidirect
117. #2545C22semidirect
133. #2522C22semidirect
134. #2522C22semidirect
135. #2513C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2508C22semidirect
139. #2508C22semidirect
140. #2507C22semidirect
141. #2507C22semidirect
142. #2507C22semidirect
143. #2507C22semidirect
144. #2506C22semidirect
145. #2506C22semidirect
148. #2503C22semidirect
150. #2502C22semidirect
157. #2499C22semidirect
158. #2499C22semidirect
167. #2454C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2447C22semidirect
171. #2447C22semidirect
172. #2446C22semidirect
173. #2446C22semidirect
174. #2446C22semidirect
175. #2446C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
190. #2429C22semidirect
191. #2429C22semidirect
192. #2429C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
240. #2363C22semidirect
243. #2362C22semidirect
245. #2361C22semidirect
248. #2360C22semidirect
249. #2356C22semidirect
250. #2356C22semidirect
251. #2356C22semidirect
252. #2356C22semidirect
253. #2355C22semidirect
254. #2355C22semidirect
255. #2355C22semidirect
256. #2355C22semidirect
261. #2330C22semidirect
262. #2324C22semidirect
265. #2323C22semidirect
266. #2319C22semidirect
277. C4×C22⋊Q8C22semidirect
282. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#427842
#427762
#427692
#427412
#427082
#425502
#413952
#405652
#401932
#401032
#400792
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C2×#24292
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