Finite Group Databasebeta

← #8094548

Subgroups — #8094548

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53123C212yesmaximal, complemented
2#53113C212yesmaximal, complemented
3#53112C212yesmaximal, complemented
4#53111C212yesmaximal, complemented
5#53099C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#52994C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#52371C214yesmaximal, complemented
10#52344C214yesmaximal, complemented
11#46347C212yesmaximal, complemented
12#46341C212yesmaximal, complemented
13#46340C212yesmaximal, complemented
14#46329C212yesmaximal, complemented
15#45702C212yesmaximal, complemented
16#45654C212yesmaximal, complemented
17#45640C212yesmaximal, complemented
18#45485C212yesmaximal, complemented
19#45463C214yesmaximal, complemented
20#45446C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35557C211yesmaximal, characteristic, complemented
25#35556C211yesmaximal, characteristic
26#35555C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35266C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic
31#35174C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic
33#34953C211yesmaximal, characteristic, complemented
34#34952C211yesmaximal, characteristic, complemented
35C2×#2538C211yesmaximal, characteristic, complemented
36C2×#563C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C22⋊Q8C2212yes—
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2863C2212yescomplemented
45#2860C2212yes—
46#2860C2212yes—
47#2860C2212yescomplemented
48#2857C2212yescomplemented
49#2854C2212yes—
50#2854C2212yes—
51#2851C2212yescomplemented
52#2849C2214yes—
53#2848C2214yes—
54#2841C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2836C2214yescomplemented
60#2836C2214yescomplemented
61#2836C2214yescomplemented
62#2831C2214yescomplemented
63#2831C2214yescomplemented
64#2831C2214yescomplemented
65#2830C2214yescomplemented
66#2827C2214yescomplemented
67#2823C2214yescomplemented
68#2823C2214yescomplemented
69#2820C2214yescomplemented
70#2817C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2793C2214yescomplemented
75#2793C2214yescomplemented
76#2787C2214yescomplemented
77#2777C2214yescomplemented
78#2775C2214yescomplemented
79#2770C2214yescomplemented
80#2745C2214yescomplemented
81#2738C2214yescomplemented
82#2731C2214yescomplemented
83#2729C2214yescomplemented
84#2728C2214yescomplemented
85#2727C2214yescomplemented
86#2725C2214yescomplemented
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2722C2214yescomplemented
90#2721C2214yescomplemented
91#2720C2214yescomplemented
92#2718C2214yescomplemented
93#2717C2214yescomplemented
94#2716C2214yescomplemented
95#2715C2214yescomplemented
96#2715C2214yescomplemented
97#2715C2214yescomplemented
98#2707C2214yescomplemented
99#2707C2214yescomplemented
100#2707C2214yescomplemented
101#2702C2214yescomplemented
102#2702C2214yescomplemented
103#2702C2214yescomplemented
104#2698C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2690C2214yescomplemented
108#2690C2214yescomplemented
109#2689C2214yescomplemented
110#2683C2214yescomplemented
111#2680C2214yescomplemented
112#2677C2214yescomplemented
113#2674C2214yescomplemented
114#2645C2212yescomplemented
115#2644C2212yes—
116#2644C2212yes—
117#2644C2212yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2626C2214yes—
121#2624C2212yes—
122#2624C2212yes—
123#2622C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2584C2212yescomplemented
127#2584C2212yescomplemented
128#2584C2211yescharacteristic, complemented
129#2584C2211yescharacteristic, complemented
130#2584C2211yescharacteristic, complemented
131#2584C2211yescharacteristic, complemented
132#2583C2212yes—
133#2583C2212yes—
134#2582C2211yescharacteristic, complemented
135#2582C2211yescharacteristic, complemented
136#2581C2211yescharacteristic, complemented
137#2581C2211yescharacteristic, complemented
138#2580C2211yescharacteristic, complemented
139#2580C2211yescharacteristic, complemented
140#2579C2212yes—
141#2579C2212yes—
142#2570C2212yescomplemented
143#2570C2212yescomplemented
144#2569C2214yes—
145#2567C2211yescharacteristic, complemented
146#2567C2212yescomplemented
147#2567C2211yescharacteristic, complemented
148#2552C2212yescomplemented
149#2552C2212yescomplemented
150#2552C2212yescomplemented
151#2551C2212yescomplemented
152#2550C2212yescomplemented
153#2550C2212yescomplemented
154#2549C2214yes—
155#2548C2212yes—
156#2548C2212yes—
157#2546C2212yescomplemented
158#2546C2211yescharacteristic, complemented
159#2546C2211yescharacteristic, complemented
160#2538C2212yes—
161#2538C2212yes—
162#2538C2212yes—
163#2538C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2538C2212yes—
167#2538C2212yes—
168#2538C2211yescharacteristic, complemented
169#2538C2211yescharacteristic, complemented
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2513C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yes—
180#2512C2212yes—
181#2512C2212yes—
182#2512C2212yescomplemented
183#2512C2212yescomplemented
184#2511C2212yescomplemented
185#2511C2212yescomplemented
186#2510C2214yes—
187#2509C2212yescomplemented
188#2509C2212yescomplemented
189#2508C2212yescomplemented
190#2508C2212yescomplemented
191#2507C2212yescomplemented
192#2507C2212yescomplemented
193#2507C2212yescomplemented
194#2507C2212yescomplemented
195#2506C2212yescomplemented
196#2506C2212yescomplemented
197#2506C2212yescomplemented
198#2506C2212yescomplemented
199#2502C2212yes—
200#2497C2212yescomplemented
201#2497C2212yescomplemented
202#2497C2212yescomplemented
203#2496C2212yescomplemented
204#2496C2212yescomplemented
205#2496C2212yescomplemented
206#2495C2212yescomplemented
207#2494C2212yescomplemented
208#2491C2212yes—
209#2491C2212yes—
210#2490C2212yes—
211#2490C2212yes—
212#2487C2212yes—
213#2481C2214yes—
214#2481C2214yes—
215#2481C2214yes—
216#2480C2214yes—
217#2480C2214yes—
218#2480C2214yes—
219#2480C2214yes—
220#2473C2214yes—
221#2473C2214yes—
222#2472C2214yes—
223#2472C2214yes—
224#2454C2212yes—
225#2454C2212yes—
226#2454C2212yes—
227#2454C2212yes—
228#2454C2212yescomplemented
229#2453C2212yescomplemented
230#2452C2212yes—
231#2452C2212yes—
232#2452C2212yes—
233#2452C2212yes—
234#2452C2212yescomplemented
235#2451C2212yescomplemented
236#2450C2214yes—
237#2449C2214yes—
238#2448C2212yes—
239#2448C2212yes—
240#2447C2212yes—
241#2447C2212yes—
242#2445C2212yes—
243#2445C2212yes—
244#2445C2212yes—
245#2445C2212yes—
246#2442C2214yes—
247#2440C2214yes—
248#2434C2212yes—
249#2422C2212yes—
250#2422C2212yes—
251#2420C2212yes—
252#2420C2212yes—
253#2418C2214yes—
254#2418C2214yes—
255#2409C2212yes—
256#2399C2212yescomplemented
257#2399C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260C2×#396C2212yes—
261C2×#396C2212yes—
262#2378C2214yescomplemented
263#2378C2214yescomplemented
264#2376C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277C4×C4⋊Q8C2212yescomplemented
278C4×C4⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295C2×#380C2212yes—
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#563—416no—
304#544—44no—
305#535—44no—
306#533—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×#127C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8—48no—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#120C2314yes—
352C4×#41—44no—
353C2×C4×Q8—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4—44no—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402#401C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#395C2312yes—
505#395C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2312yes—
509#395C2314yes—
510#395C2312yes—
511#395C2314yes—
512#395C2312yes—
513#395C2312yes—
514#395C2314yes—
515#395C2312yes—
516#395C2312yes—
517#395C2312yes—
518#395C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#393C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#384C2312yes—
737#384C2312yes—
738#384C2314yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#383C2314yes—
749#382C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—24no—
823C22×Q8—42no—
824C22×Q8—42no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×Q8C2411yescharacteristic
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4—44no—
843C23×C4—44no—
844C23×C4—44no—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—42no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—48no—
867#127—44no—
868#126—48no—
869#126—48no—
870#126—48no—
871#126—48no—
872#126—84no—
873#126—84no—
874#126—84no—
875#125—42no—
876#125—42no—
877#125—44no—
878#125—44no—
879#125—48no—
880#125—48no—
881#125—84no—
882#124—44no—
883#124—48no—
884#124—84no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—84no—
889C22⋊Q8—216no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901#121—44no—
902#121—44no—
903#120—48no—
904C4×Q8—42no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—42no—
915C4×Q8—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—44no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—44no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—82no—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4—82no—
1037C2×C22⋊C4—82no—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—44no—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
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#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—24no—
1185C24—24no—
1186C24—24no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24C2514yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194#41—416no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—416no—
1219C2×Q8H(5,𝔽2)14yes—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—816no—
1282C22×C4H(5,𝔽2)14yes—
1283C22×C42−1+414yes—
1284C22×C42−1+414yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—42no—
1482C42—44no—
1483C42—42no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—24no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—24no—
1498C23—24no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—48no—
1503C23—48no—
1504C23—48no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23C2×2−1+412yes—
1512C23C2611yescharacteristic
1513Q8—44no—
1514Q8—44no—
1515Q8—44no—
1516Q8—44no—
1517Q8—44no—
1518Q8—84no—
1519Q8—84no—
1520Q8—164no—
1521D4—48no—
1522D4—48no—
1523D4—48no—
1524D4—44no—
1525D4—164no—
1526D4—164no—
1527C2×C4—28no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
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—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—84no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—82no—
1622C2×C4—82no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4#563116yescomplemented
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4C2×2−1+412yes—
1637C2×C4#58512yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—44no—
1645C22—42no—
1646C22—42no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—44no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—44no—
1658C22—816no—
1659C22C2×#56314yes—
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C22×H(5,𝔽2)11yescharacteristic
1662C22C22×2−1+411yescharacteristic
1663C22C22×2−1+411yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22H(7,𝔽2)11yescharacteristic
1666C222−1+611yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—44no—
1691C4—44no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4C2×#56314yes—
1698C4C2×#56314yes—
1699C2—24no—
1700C2—82no—
1701C2—84no—
1702C2C22×#56311yescharacteristic
1703C2#6281811yescharacteristic
1704C2#6287511yescharacteristic
1705C2#6291311yescharacteristic
1706C2#6291711yescharacteristic
1707C2#6292611yescharacteristic
1708C2#6293211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53123C2semidirect
2. #53113C2semidirect
3. #53112C2semidirect
4. #53111C2semidirect
5. #53099C2semidirect
6. #53020C2semidirect
7. #52994C2semidirect
8. #52974C2semidirect
9. #52371C2semidirect
10. #52344C2semidirect
11. #46347C2semidirect
12. #46341C2semidirect
13. #46340C2semidirect
14. #46329C2semidirect
15. #45702C2semidirect
16. #45654C2semidirect
17. #45640C2semidirect
18. #45485C2semidirect
19. #45463C2semidirect
20. #45446C2semidirect
21. #35585C2semidirect
22. #35566C2semidirect
23. #35558C2semidirect
24. #35557C2semidirect
26. #35555C2semidirect
27. #35267C2semidirect
28. #35266C2semidirect
29. #35257C2semidirect
31. #35174C2semidirect
33. #34953C2semidirect
34. #34952C2semidirect
35. C2×#2538C2semidirect
36. C2×#563C22semidirect
44. #2863C22semidirect
47. #2860C22semidirect
48. #2857C22semidirect
51. #2851C22semidirect
54. #2841C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2836C22semidirect
60. #2836C22semidirect
61. #2836C22semidirect
62. #2831C22semidirect
63. #2831C22semidirect
64. #2831C22semidirect
65. #2830C22semidirect
66. #2827C22semidirect
67. #2823C22semidirect
68. #2823C22semidirect
69. #2820C22semidirect
70. #2817C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2793C22semidirect
75. #2793C22semidirect
76. #2787C22semidirect
77. #2777C22semidirect
78. #2775C22semidirect
79. #2770C22semidirect
80. #2745C22semidirect
81. #2738C22semidirect
82. #2731C22semidirect
83. #2729C22semidirect
84. #2728C22semidirect
85. #2727C22semidirect
86. #2725C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
89. #2722C22semidirect
90. #2721C22semidirect
91. #2720C22semidirect
92. #2718C22semidirect
93. #2717C22semidirect
94. #2716C22semidirect
95. #2715C22semidirect
96. #2715C22semidirect
97. #2715C22semidirect
98. #2707C22semidirect
99. #2707C22semidirect
100. #2707C22semidirect
101. #2702C22semidirect
102. #2702C22semidirect
103. #2702C22semidirect
104. #2698C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
107. #2690C22semidirect
108. #2690C22semidirect
109. #2689C22semidirect
110. #2683C22semidirect
111. #2680C22semidirect
112. #2677C22semidirect
113. #2674C22semidirect
114. #2645C22semidirect
117. #2644C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
126. #2584C22semidirect
127. #2584C22semidirect
128. #2584C22semidirect
129. #2584C22semidirect
130. #2584C22semidirect
131. #2584C22semidirect
134. #2582C22semidirect
135. #2582C22semidirect
136. #2581C22semidirect
137. #2581C22semidirect
138. #2580C22semidirect
139. #2580C22semidirect
142. #2570C22semidirect
143. #2570C22semidirect
145. #2567C22semidirect
146. #2567C22semidirect
147. #2567C22semidirect
148. #2552C22semidirect
149. #2552C22semidirect
150. #2552C22semidirect
151. #2551C22semidirect
152. #2550C22semidirect
153. #2550C22semidirect
157. #2546C22semidirect
158. #2546C22semidirect
159. #2546C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
182. #2512C22semidirect
183. #2512C22semidirect
184. #2511C22semidirect
185. #2511C22semidirect
187. #2509C22semidirect
188. #2509C22semidirect
189. #2508C22semidirect
190. #2508C22semidirect
191. #2507C22semidirect
192. #2507C22semidirect
193. #2507C22semidirect
194. #2507C22semidirect
195. #2506C22semidirect
196. #2506C22semidirect
197. #2506C22semidirect
198. #2506C22semidirect
200. #2497C22semidirect
201. #2497C22semidirect
202. #2497C22semidirect
203. #2496C22semidirect
204. #2496C22semidirect
205. #2496C22semidirect
206. #2495C22semidirect
207. #2494C22semidirect
228. #2454C22semidirect
229. #2453C22semidirect
234. #2452C22semidirect
235. #2451C22semidirect
256. #2399C22semidirect
257. #2399C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
262. #2378C22semidirect
263. #2378C22semidirect
264. #2376C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
1627. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531232
#531132
#531122
#531112
#530992
#530202
#529942
#529742
#523712
#523442
#463472
#463412
#463402
#463292
#457022
#456542
#456402
#454852
#454632
#454462
#355852
#355662
#355582
#355572
#355562
#355552
#352672
#352662
#352572
#352542
#351742
#351522
#349532
#349522
C2×#25382