Finite Group Databasebeta

← #8094450

Subgroups — #8094450

Order 512.

4573 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53111C212yesmaximal, complemented
2#53104C212yesmaximal, complemented
3#53089C212yesmaximal, complemented
4#53083C212yesmaximal, complemented
5#53039C212yesmaximal, complemented
6#53020C212yesmaximal, complemented
7#53001C212yesmaximal, complemented
8#52983C212yesmaximal, complemented
9#52368C214yesmaximal, complemented
10#52314C214yesmaximal, complemented
11#46109C212yesmaximal, complemented
12#46108C212yesmaximal, complemented
13#46062C212yesmaximal, complemented
14#46049C212yesmaximal, complemented
15#45728C214yesmaximal, complemented
16#45702C212yesmaximal, complemented
17#45654C212yesmaximal, complemented
18#45595C212yesmaximal, complemented
19#45513C212yesmaximal, complemented
20#45474C214yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35584C211yesmaximal, characteristic
23#35566C211yesmaximal, characteristic, complemented
24#35558C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35543C211yesmaximal, characteristic, complemented
27#35330C211yesmaximal, characteristic, complemented
28#35266C211yesmaximal, characteristic, complemented
29#35262C211yesmaximal, characteristic
30#35253C211yesmaximal, characteristic, complemented
31#35174C211yesmaximal, characteristic, complemented
32#35172C211yesmaximal, characteristic, complemented
33#34814C211yesmaximal, characteristic, complemented
34#34739C211yesmaximal, characteristic, complemented
35C2×#2420C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2862C2212yescomplemented
43#2860C2212yescomplemented
44#2860C2212yescomplemented
45#2859C2212yescomplemented
46#2857C2212yescomplemented
47#2854C2212yes—
48#2854C2212yes—
49#2851C2212yescomplemented
50#2848C2214yes—
51#2848C2214yes—
52#2841C2214yescomplemented
53#2838C2214yescomplemented
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2836C2214yescomplemented
60#2832C2214yescomplemented
61#2831C2214yescomplemented
62#2831C2214yescomplemented
63#2830C2214yescomplemented
64#2827C2214yescomplemented
65#2827C2214yescomplemented
66#2827C2214yescomplemented
67#2823C2214yescomplemented
68#2821C2214yescomplemented
69#2820C2214yescomplemented
70#2817C2214yescomplemented
71#2814C2214yescomplemented
72#2793C2214yescomplemented
73#2777C2214yescomplemented
74#2775C2214yescomplemented
75#2773C2214yescomplemented
76#2771C2214yescomplemented
77#2765C2214yescomplemented
78#2765C2214yescomplemented
79#2764C2214yescomplemented
80#2759C2214yescomplemented
81#2745C2214yescomplemented
82#2745C2214yescomplemented
83#2738C2214yescomplemented
84#2738C2214yescomplemented
85#2731C2214yescomplemented
86#2728C2214yescomplemented
87#2728C2214yescomplemented
88#2727C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2721C2214yescomplemented
94#2718C2214yescomplemented
95#2717C2214yescomplemented
96#2716C2214yescomplemented
97#2715C2214yescomplemented
98#2715C2214yescomplemented
99#2715C2214yescomplemented
100#2707C2214yescomplemented
101#2702C2214yescomplemented
102#2702C2214yescomplemented
103#2702C2214yescomplemented
104#2698C2214yescomplemented
105#2698C2214yescomplemented
106#2695C2214yescomplemented
107#2695C2214yescomplemented
108#2689C2214yescomplemented
109#2689C2214yescomplemented
110#2683C2214yescomplemented
111#2674C2214yescomplemented
112#2660C2212yescomplemented
113#2660C2212yescomplemented
114#2644C2212yescomplemented
115#2644C2212yescomplemented
116#2629C2212yescomplemented
117#2628C2212yescomplemented
118#2626C2214yes—
119#2626C2214yes—
120#2624C2212yes—
121#2624C2212yes—
122#2584C2212yescomplemented
123#2584C2212yescomplemented
124#2580C2212yescomplemented
125#2580C2212yescomplemented
126#2571C2212yescomplemented
127#2571C2212yescomplemented
128#2571C2212yescomplemented
129#2570C2212yescomplemented
130#2570C2212yescomplemented
131#2570C2212yescomplemented
132#2570C2212yescomplemented
133#2567C2212yescomplemented
134#2566C2212yescomplemented
135#2566C2212yescomplemented
136#2563C2212yescomplemented
137#2561C2214yes—
138#2552C2212yescomplemented
139#2552C2212yescomplemented
140#2551C2212yescomplemented
141#2550C2212yescomplemented
142#2550C2212yescomplemented
143#2550C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2549C2214yes—
148#2549C2214yes—
149#2549C2214yes—
150#2546C2212yescomplemented
151#2542C2212yescomplemented
152#2538C2212yescomplemented
153#2538C2212yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2513C2212yescomplemented
158#2513C2212yescomplemented
159#2513C2212yescomplemented
160#2512C2212yescomplemented
161#2512C2212yescomplemented
162#2512C2212yescomplemented
163#2512C2212yescomplemented
164#2512C2212yescomplemented
165#2512C2212yescomplemented
166#2509C2212yescomplemented
167#2509C2212yescomplemented
168#2509C2212yescomplemented
169#2508C2212yescomplemented
170#2508C2212yescomplemented
171#2508C2212yescomplemented
172#2507C2212yescomplemented
173#2506C2212yescomplemented
174#2505C2214yes—
175#2505C2214yes—
176#2505C2214yes—
177#2504C2212yes—
178#2501C2212yes—
179#2500C2212yes—
180#2500C2212yes—
181#2497C2212yescomplemented
182#2497C2212yescomplemented
183#2497C2211yescharacteristic, complemented
184#2497C2211yescharacteristic, complemented
185#2496C2212yescomplemented
186#2496C2212yescomplemented
187#2496C2211yescharacteristic, complemented
188#2496C2211yescharacteristic, complemented
189#2495C2212yescomplemented
190#2495C2211yescharacteristic, complemented
191#2495C2212yescomplemented
192#2495C2211yescharacteristic, complemented
193#2494C2211yescharacteristic, complemented
194#2494C2212yescomplemented
195#2494C2212yescomplemented
196#2494C2211yescharacteristic, complemented
197#2493C2212yes—
198#2493C2214yes—
199#2493C2212yes—
200#2491C2212yes—
201#2491C2212yes—
202#2491C2212yes—
203#2491C2212yes—
204#2490C2212yes—
205#2490C2212yes—
206#2490C2212yes—
207#2490C2212yes—
208#2482C2214yes—
209#2480C2212yes—
210#2480C2214yes—
211#2480C2214yes—
212#2480C2214yes—
213#2480C2214yes—
214#2480C2214yes—
215#2480C2212yes—
216#2473C2214yes—
217#2454C2212yescomplemented
218#2454C2212yescomplemented
219#2454C2212yescomplemented
220#2454C2212yescomplemented
221#2452C2212yescomplemented
222#2452C2212yescomplemented
223#2452C2212yescomplemented
224#2452C2212yescomplemented
225#2442C2211yescharacteristic, complemented
226#2442C2212yescomplemented
227#2442C2211yescharacteristic, complemented
228#2441C2212yescomplemented
229#2441C2211yescharacteristic, complemented
230#2441C2211yescharacteristic, complemented
231#2440C2214yes—
232#2440C2211yescharacteristic, complemented
233#2440C2212yescomplemented
234#2440C2211yescharacteristic, complemented
235#2439C2211yescharacteristic, complemented
236#2439C2212yescomplemented
237#2439C2211yescharacteristic, complemented
238#2438C2212yes—
239#2438C2214yes—
240#2438C2212yes—
241#2437C2212yes—
242#2437C2214yes—
243#2437C2212yes—
244#2435C2214yes—
245#2420C2212yes—
246#2420C2212yes—
247#2420C2212yes—
248#2420C2212yes—
249#2420C2212yes—
250#2420C2212yes—
251#2420C2212yes—
252#2420C2212yes—
253#2405C2214yes—
254#2401C2212yescomplemented
255#2401C2212yescomplemented
256#2396C2212yescomplemented
257#2396C2212yescomplemented
258C2×#397C2212yes—
259C2×#394C2212yes—
260#2379C2214yescomplemented
261#2378C2214yescomplemented
262#2378C2214yescomplemented
263#2376C2214yescomplemented
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2309C2211yescharacteristic
273#2309C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×#126C2212yescomplemented
277C4×#126C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#386C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289C2×#382C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#381C2212yes—
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#544—44no—
304#544—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121—44no—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4—44no—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×#117—44no—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384#401C2312yes—
385#401C2314yes—
386#401C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#399C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2314yes—
519#393C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
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#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2314yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2312yes—
704#383C2312yes—
705#383C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2312yes—
764#379C2312yes—
765#379C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C25C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—82no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4—44no—
836C23×C4—44no—
837C23×C4—82no—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—84no—
862#126—44no—
863#126—44no—
864#126—84no—
865#126—84no—
866#126—84no—
867#126—84no—
868#126—84no—
869#125—42no—
870#125—42no—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—84no—
876#124—48no—
877#124—84no—
878#123—48no—
879#123—84no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—44no—
910#117—44no—
911#117—42no—
912#117—42no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—42no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C22⋊C4—42no—
998C2×C22⋊C4—42no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4—44no—
1002C2×C22⋊C4—82no—
1003C2×C22⋊C4—82no—
1004C2×C22⋊C4—82no—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
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#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166C24—24no—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—24no—
1172C24—24no—
1173C24—41no—
1174C24—41no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—41no—
1180C24C2511yescharacteristic
1181C24C2514yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C2×Q8—24no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—416no—
1209C2×D4—816no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—416no—
1259C22×C4—816no—
1260C22×C4H(5,𝔽2)14yes—
1261C22×C42−1+414yes—
1262C22×C42−1+414yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—24no—
1466C23—21no—
1467C23—21no—
1468C23—24no—
1469C23—24no—
1470C23—21no—
1471C23—24no—
1472C23—24no—
1473C23—21no—
1474C23—21no—
1475C23—24no—
1476C23—24no—
1477C23—21no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—48no—
1482C23—48no—
1483C23—44no—
1484C23—48no—
1485C23—84no—
1486C23—82no—
1487C23—84no—
1488C23—82no—
1489C23—82no—
1490C23—84no—
1491C23—84no—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×2−1+412yes—
1494C23C2×2−1+412yes—
1495C23#58512yes—
1496C23C2611yescharacteristic
1497Q8—84no—
1498Q8—84no—
1499Q8—164no—
1500Q8—164no—
1501D4—48no—
1502D4—48no—
1503D4—88no—
1504D4—88no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—88no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4#563116yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—44no—
1630C22—41no—
1631C22—44no—
1632C22—44no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—44no—
1640C22—41no—
1641C22—44no—
1642C22—88no—
1643C22—816no—
1644C22C2×#56314yes—
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22H(7,𝔽2)11yescharacteristic
1651C22H(7,𝔽2)11yescharacteristic
1652C4—22no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—41no—
1659C4—41no—
1660C4—42no—
1661C4—44no—
1662C4—44no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4C2×#56314yes—
1682C4C2×#56314yes—
1683C2—24no—
1684C2—42no—
1685C2—81no—
1686C2—84no—
1687C2C22×#56311yescharacteristic
1688C2#6283111yescharacteristic
1689C2#6288111yescharacteristic
1690C2#6292411yescharacteristic
1691C2#6292411yescharacteristic
1692C2#6292911yescharacteristic
1693C2#6295811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53111C2semidirect
2. #53104C2semidirect
3. #53089C2semidirect
4. #53083C2semidirect
5. #53039C2semidirect
6. #53020C2semidirect
7. #53001C2semidirect
8. #52983C2semidirect
9. #52368C2semidirect
10. #52314C2semidirect
11. #46109C2semidirect
12. #46108C2semidirect
13. #46062C2semidirect
14. #46049C2semidirect
15. #45728C2semidirect
16. #45702C2semidirect
17. #45654C2semidirect
18. #45595C2semidirect
19. #45513C2semidirect
20. #45474C2semidirect
21. #35627C2semidirect
23. #35566C2semidirect
24. #35558C2semidirect
25. #35544C2semidirect
26. #35543C2semidirect
27. #35330C2semidirect
28. #35266C2semidirect
30. #35253C2semidirect
31. #35174C2semidirect
32. #35172C2semidirect
33. #34814C2semidirect
34. #34739C2semidirect
42. #2862C22semidirect
43. #2860C22semidirect
44. #2860C22semidirect
45. #2859C22semidirect
46. #2857C22semidirect
49. #2851C22semidirect
52. #2841C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2836C22semidirect
60. #2832C22semidirect
61. #2831C22semidirect
62. #2831C22semidirect
63. #2830C22semidirect
64. #2827C22semidirect
65. #2827C22semidirect
66. #2827C22semidirect
67. #2823C22semidirect
68. #2821C22semidirect
69. #2820C22semidirect
70. #2817C22semidirect
71. #2814C22semidirect
72. #2793C22semidirect
73. #2777C22semidirect
74. #2775C22semidirect
75. #2773C22semidirect
76. #2771C22semidirect
77. #2765C22semidirect
78. #2765C22semidirect
79. #2764C22semidirect
80. #2759C22semidirect
81. #2745C22semidirect
82. #2745C22semidirect
83. #2738C22semidirect
84. #2738C22semidirect
85. #2731C22semidirect
86. #2728C22semidirect
87. #2728C22semidirect
88. #2727C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2721C22semidirect
94. #2718C22semidirect
95. #2717C22semidirect
96. #2716C22semidirect
97. #2715C22semidirect
98. #2715C22semidirect
99. #2715C22semidirect
100. #2707C22semidirect
101. #2702C22semidirect
102. #2702C22semidirect
103. #2702C22semidirect
104. #2698C22semidirect
105. #2698C22semidirect
106. #2695C22semidirect
107. #2695C22semidirect
108. #2689C22semidirect
109. #2689C22semidirect
110. #2683C22semidirect
111. #2674C22semidirect
112. #2660C22semidirect
113. #2660C22semidirect
114. #2644C22semidirect
115. #2644C22semidirect
116. #2629C22semidirect
117. #2628C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
124. #2580C22semidirect
125. #2580C22semidirect
126. #2571C22semidirect
127. #2571C22semidirect
128. #2571C22semidirect
129. #2570C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2567C22semidirect
134. #2566C22semidirect
135. #2566C22semidirect
136. #2563C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2551C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
143. #2550C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
150. #2546C22semidirect
151. #2542C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2509C22semidirect
167. #2509C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
170. #2508C22semidirect
171. #2508C22semidirect
172. #2507C22semidirect
173. #2506C22semidirect
181. #2497C22semidirect
182. #2497C22semidirect
183. #2497C22semidirect
184. #2497C22semidirect
185. #2496C22semidirect
186. #2496C22semidirect
187. #2496C22semidirect
188. #2496C22semidirect
189. #2495C22semidirect
190. #2495C22semidirect
191. #2495C22semidirect
192. #2495C22semidirect
193. #2494C22semidirect
194. #2494C22semidirect
195. #2494C22semidirect
196. #2494C22semidirect
217. #2454C22semidirect
218. #2454C22semidirect
219. #2454C22semidirect
220. #2454C22semidirect
221. #2452C22semidirect
222. #2452C22semidirect
223. #2452C22semidirect
224. #2452C22semidirect
225. #2442C22semidirect
226. #2442C22semidirect
227. #2442C22semidirect
228. #2441C22semidirect
229. #2441C22semidirect
230. #2441C22semidirect
232. #2440C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
235. #2439C22semidirect
236. #2439C22semidirect
237. #2439C22semidirect
254. #2401C22semidirect
255. #2401C22semidirect
256. #2396C22semidirect
257. #2396C22semidirect
260. #2379C22semidirect
261. #2378C22semidirect
262. #2378C22semidirect
263. #2376C22semidirect
276. C4×#126C22semidirect
277. C4×#126C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#531112
#531042
#530892
#530832
#530392
#530202
#530012
#529832
#523682
#523142
#461092
#461082
#460622
#460492
#457282
#457022
#456542
#455952
#455132
#454742
#356272
#355842
#355662
#355582
#355442
#355432
#353302
#352662
#352622
#352532
#351742
#351722
#348142
#347392
C2×#24202