Finite Group Databasebeta

← #8094758

Subgroups — #8094758

Order 512.

4783 conjugacy classes of subgroups.

The subgroup lattice has 1711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53123C212yesmaximal, complemented
2#53109C212yesmaximal, complemented
3#53084C212yesmaximal, complemented
4#53082C212yesmaximal, complemented
5#53003C212yesmaximal, complemented
6#52999C212yesmaximal, complemented
7#52980C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#52368C214yesmaximal, complemented
10#52314C214yesmaximal, complemented
11#46078C212yesmaximal, complemented
12#46068C212yesmaximal, complemented
13#46019C212yesmaximal, complemented
14#45993C212yesmaximal, complemented
15#45744C214yesmaximal, complemented
16#45715C212yesmaximal, complemented
17#45640C212yesmaximal, complemented
18#45633C212yesmaximal, complemented
19#45485C212yesmaximal, complemented
20#45456C214yesmaximal, complemented
21#35584C211yesmaximal, characteristic
22#35566C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35555C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35543C211yesmaximal, characteristic, complemented
27#35275C211yesmaximal, 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×#2422C211yesmaximal, characteristic
36C2×#563C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×#123C2212yes—
41C22×#121C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44#2868C2212yescomplemented
45#2860C2212yescomplemented
46#2860C2212yescomplemented
47#2859C2212yescomplemented
48#2857C2212yescomplemented
49#2854C2212yes—
50#2854C2212yes—
51#2851C2212yescomplemented
52#2848C2214yes—
53#2848C2214yes—
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2836C2214yescomplemented
60#2836C2214yescomplemented
61#2835C2214yescomplemented
62#2834C2214yescomplemented
63#2832C2214yescomplemented
64#2831C2214yescomplemented
65#2831C2214yescomplemented
66#2830C2214yescomplemented
67#2827C2214yescomplemented
68#2823C2214yescomplemented
69#2821C2214yescomplemented
70#2820C2214yescomplemented
71#2814C2214yescomplemented
72#2814C2214yescomplemented
73#2814C2214yescomplemented
74#2793C2214yescomplemented
75#2787C2214yescomplemented
76#2787C2214yescomplemented
77#2777C2214yescomplemented
78#2775C2214yescomplemented
79#2773C2214yescomplemented
80#2770C2214yescomplemented
81#2770C2214yescomplemented
82#2759C2214yescomplemented
83#2731C2214yescomplemented
84#2729C2214yescomplemented
85#2729C2214yescomplemented
86#2727C2214yescomplemented
87#2725C2214yescomplemented
88#2724C2214yescomplemented
89#2723C2214yescomplemented
90#2722C2214yescomplemented
91#2721C2214yescomplemented
92#2720C2214yescomplemented
93#2720C2214yescomplemented
94#2718C2214yescomplemented
95#2718C2214yescomplemented
96#2718C2214yescomplemented
97#2717C2214yescomplemented
98#2716C2214yescomplemented
99#2715C2214yescomplemented
100#2707C2214yescomplemented
101#2707C2214yescomplemented
102#2707C2214yescomplemented
103#2702C2214yescomplemented
104#2695C2214yescomplemented
105#2695C2214yescomplemented
106#2690C2214yescomplemented
107#2690C2214yescomplemented
108#2680C2214yescomplemented
109#2680C2214yescomplemented
110#2677C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2644C2212yescomplemented
117#2644C2212yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2626C2214yes—
121#2626C2214yes—
122#2624C2212yes—
123#2624C2212yes—
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2580C2212yescomplemented
127#2580C2212yescomplemented
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#2552C2212yescomplemented
141#2552C2212yescomplemented
142#2552C2212yescomplemented
143#2552C2212yescomplemented
144#2551C2212yescomplemented
145#2551C2212yescomplemented
146#2551C2212yescomplemented
147#2550C2212yescomplemented
148#2550C2212yescomplemented
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#2508C2212yescomplemented
168#2507C2212yescomplemented
169#2507C2212yescomplemented
170#2507C2212yescomplemented
171#2506C2212yescomplemented
172#2506C2212yescomplemented
173#2506C2212yescomplemented
174#2505C2214yes—
175#2504C2212yes—
176#2501C2212yes—
177#2500C2212yes—
178#2500C2212yes—
179#2497C2211yescharacteristic, complemented
180#2497C2212yescomplemented
181#2497C2212yescomplemented
182#2497C2211yescharacteristic, complemented
183#2496C2212yescomplemented
184#2496C2211yescharacteristic, complemented
185#2496C2212yescomplemented
186#2496C2211yescharacteristic, complemented
187#2495C2212yescomplemented
188#2495C2212yescomplemented
189#2495C2211yescharacteristic, complemented
190#2495C2211yescharacteristic, complemented
191#2494C2212yescomplemented
192#2494C2211yescharacteristic, complemented
193#2494C2212yescomplemented
194#2494C2211yescharacteristic, complemented
195#2493C2212yes—
196#2493C2214yes—
197#2493C2212yes—
198#2491C2212yes—
199#2491C2212yes—
200#2491C2212yes—
201#2491C2212yes—
202#2490C2212yes—
203#2490C2212yes—
204#2490C2212yes—
205#2490C2212yes—
206#2482C2214yes—
207#2480C2212yes—
208#2480C2214yes—
209#2480C2214yes—
210#2480C2214yes—
211#2480C2212yes—
212#2480C2214yes—
213#2480C2214yes—
214#2473C2214yes—
215#2473C2214yes—
216#2473C2214yes—
217#2454C2212yescomplemented
218#2454C2212yescomplemented
219#2454C2212yescomplemented
220#2454C2212yescomplemented
221#2452C2212yescomplemented
222#2452C2212yescomplemented
223#2452C2212yescomplemented
224#2452C2212yescomplemented
225#2442C2211yescharacteristic, complemented
226#2442C2211yescharacteristic, complemented
227#2442C2212yescomplemented
228#2441C2212yescomplemented
229#2441C2211yescharacteristic, complemented
230#2441C2211yescharacteristic, complemented
231#2440C2214yes—
232#2440C2214yes—
233#2440C2214yes—
234#2440C2212yescomplemented
235#2440C2211yescharacteristic, complemented
236#2440C2211yescharacteristic, complemented
237#2439C2211yescharacteristic, complemented
238#2439C2211yescharacteristic, complemented
239#2439C2212yescomplemented
240#2438C2212yes—
241#2438C2214yes—
242#2438C2212yes—
243#2437C2212yes—
244#2437C2214yes—
245#2437C2212yes—
246#2435C2214yes—
247#2422C2212yes—
248#2422C2212yes—
249#2422C2212yes—
250#2422C2212yes—
251#2422C2212yes—
252#2422C2212yes—
253#2422C2212yes—
254#2422C2212yes—
255#2405C2214yes—
256#2401C2212yescomplemented
257#2401C2212yescomplemented
258#2396C2212yescomplemented
259#2396C2212yescomplemented
260C2×#397C2212yes—
261C2×#394C2212yes—
262#2383C2214yescomplemented
263#2383C2214yescomplemented
264#2376C2214yescomplemented
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2309C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2211yescharacteristic
276#2309C2211yescharacteristic
277C4×#126C2212yescomplemented
278C4×#126C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#385C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#563—416no—
304#544—44no—
305#544—44no—
306#533—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#123—48no—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121—44no—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4—44no—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117—44no—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396#401C2312yes—
397#401C2314yes—
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
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#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2312yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2312yes—
508#395C2314yes—
509#395C2314yes—
510#395C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#391C2314yes—
533#391C2312yes—
534#391C2314yes—
535#391C2314yes—
536#391C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
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#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#386C2314yes—
667#386C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2314yes—
703#384C2314yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2314yes—
714#384C2312yes—
715#384C2312yes—
716#384C2311yescharacteristic
717#383C2312yes—
718#383C2312yes—
719#383C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#381C2312yes—
732#381C2312yes—
733#381C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2312yes—
768#379C2312yes—
769#379C2312yes—
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⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C25C2411yescharacteristic
819C25C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—44no—
828C22×D4—44no—
829C22×D4—82no—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4—82no—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—42no—
858C4⋊Q8—42no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864C4⋊Q8—48no—
865C4⋊Q8—84no—
866#126—28no—
867#126—48no—
868#126—44no—
869#126—48no—
870#126—48no—
871#126—48no—
872#126—48no—
873#125—42no—
874#125—42no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—48no—
880#125—48no—
881#125—84no—
882#124—48no—
883#124—84no—
884#123—216no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—84no—
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—84no—
900C22⋊Q8—84no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—44no—
920#117—44no—
921#117—42no—
922#117—42no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—82no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C22⋊C4—24no—
1014C2×C22⋊C4—42no—
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—44no—
1019C2×C22⋊C4—44no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
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#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24—22no—
1179C24—24no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—24no—
1184C24—24no—
1185C24—42no—
1186C24—41no—
1187C24—42no—
1188C24—42no—
1189C24—41no—
1190C24—41no—
1191C24—42no—
1192C24C2511yescharacteristic
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2511yescharacteristic
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—416no—
1221C2×D4—816no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
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—22no—
1248C22×C4—28no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—416no—
1271C22×C4—816no—
1272C22×C4H(5,𝔽2)14yes—
1273C22×C42−1+414yes—
1274C22×C42−1+414yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—22no—
1405C22⋊C4—28no—
1406C22⋊C4—22no—
1407C22⋊C4—44no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4H(5,𝔽2)14yes—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—42no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—24no—
1482C23—21no—
1483C23—24no—
1484C23—21no—
1485C23—21no—
1486C23—24no—
1487C23—24no—
1488C23—21no—
1489C23—24no—
1490C23—24no—
1491C23—21no—
1492C23—21no—
1493C23—24no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—48no—
1498C23—48no—
1499C23—44no—
1500C23—48no—
1501C23—84no—
1502C23—82no—
1503C23—84no—
1504C23—84no—
1505C23—82no—
1506C23—82no—
1507C23—84no—
1508C23C2×H(5,𝔽2)12yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23C2×2−1+412yes—
1512C23C2611yescharacteristic
1513Q8—84no—
1514Q8—84no—
1515Q8—164no—
1516Q8—164no—
1517D4—48no—
1518D4—48no—
1519D4—88no—
1520D4—88no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—82no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—88no—
1621C2×C4#563116yescomplemented
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4C2×2−1+412yes—
1629C2×C4C2×2−1+412yes—
1630C2×C4#58512yes—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—44no—
1646C22—41no—
1647C22—44no—
1648C22—44no—
1649C22—41no—
1650C22—41no—
1651C22—44no—
1652C22—44no—
1653C22—41no—
1654C22—41no—
1655C22—44no—
1656C22—41no—
1657C22—44no—
1658C22—88no—
1659C22—816no—
1660C22C2×#56314yes—
1661C22C22×H(5,𝔽2)11yescharacteristic
1662C22C22×H(5,𝔽2)11yescharacteristic
1663C22C22×2−1+411yescharacteristic
1664C22C22×2−1+411yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22H(7,𝔽2)11yescharacteristic
1667C222−1+611yescharacteristic
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—44no—
1678C4—44no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4C2×#56314yes—
1698C4C2×#56314yes—
1699C2—24no—
1700C2—42no—
1701C2—81no—
1702C2—84no—
1703C2C22×#56311yescharacteristic
1704C2#6283511yescharacteristic
1705C2#6287911yescharacteristic
1706C2#6291211yescharacteristic
1707C2#6291511yescharacteristic
1708C2#6292511yescharacteristic
1709C2#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. #53123C2semidirect
2. #53109C2semidirect
3. #53084C2semidirect
4. #53082C2semidirect
5. #53003C2semidirect
6. #52999C2semidirect
7. #52980C2semidirect
8. #52974C2semidirect
9. #52368C2semidirect
10. #52314C2semidirect
11. #46078C2semidirect
12. #46068C2semidirect
13. #46019C2semidirect
14. #45993C2semidirect
15. #45744C2semidirect
16. #45715C2semidirect
17. #45640C2semidirect
18. #45633C2semidirect
19. #45485C2semidirect
20. #45456C2semidirect
22. #35566C2semidirect
23. #35558C2semidirect
24. #35555C2semidirect
25. #35544C2semidirect
26. #35543C2semidirect
27. #35275C2semidirect
28. #35266C2semidirect
30. #35253C2semidirect
31. #35174C2semidirect
32. #35172C2semidirect
33. #34814C2semidirect
34. #34739C2semidirect
36. C2×#563C22semidirect
44. #2868C22semidirect
45. #2860C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
51. #2851C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2836C22semidirect
60. #2836C22semidirect
61. #2835C22semidirect
62. #2834C22semidirect
63. #2832C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
66. #2830C22semidirect
67. #2827C22semidirect
68. #2823C22semidirect
69. #2821C22semidirect
70. #2820C22semidirect
71. #2814C22semidirect
72. #2814C22semidirect
73. #2814C22semidirect
74. #2793C22semidirect
75. #2787C22semidirect
76. #2787C22semidirect
77. #2777C22semidirect
78. #2775C22semidirect
79. #2773C22semidirect
80. #2770C22semidirect
81. #2770C22semidirect
82. #2759C22semidirect
83. #2731C22semidirect
84. #2729C22semidirect
85. #2729C22semidirect
86. #2727C22semidirect
87. #2725C22semidirect
88. #2724C22semidirect
89. #2723C22semidirect
90. #2722C22semidirect
91. #2721C22semidirect
92. #2720C22semidirect
93. #2720C22semidirect
94. #2718C22semidirect
95. #2718C22semidirect
96. #2718C22semidirect
97. #2717C22semidirect
98. #2716C22semidirect
99. #2715C22semidirect
100. #2707C22semidirect
101. #2707C22semidirect
102. #2707C22semidirect
103. #2702C22semidirect
104. #2695C22semidirect
105. #2695C22semidirect
106. #2690C22semidirect
107. #2690C22semidirect
108. #2680C22semidirect
109. #2680C22semidirect
110. #2677C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2644C22semidirect
117. #2644C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
126. #2580C22semidirect
127. #2580C22semidirect
128. #2571C22semidirect
129. #2570C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2570C22semidirect
133. #2567C22semidirect
134. #2566C22semidirect
135. #2566C22semidirect
136. #2563C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2551C22semidirect
145. #2551C22semidirect
146. #2551C22semidirect
147. #2550C22semidirect
148. #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. #2508C22semidirect
168. #2507C22semidirect
169. #2507C22semidirect
170. #2507C22semidirect
171. #2506C22semidirect
172. #2506C22semidirect
173. #2506C22semidirect
179. #2497C22semidirect
180. #2497C22semidirect
181. #2497C22semidirect
182. #2497C22semidirect
183. #2496C22semidirect
184. #2496C22semidirect
185. #2496C22semidirect
186. #2496C22semidirect
187. #2495C22semidirect
188. #2495C22semidirect
189. #2495C22semidirect
190. #2495C22semidirect
191. #2494C22semidirect
192. #2494C22semidirect
193. #2494C22semidirect
194. #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
234. #2440C22semidirect
235. #2440C22semidirect
236. #2440C22semidirect
237. #2439C22semidirect
238. #2439C22semidirect
239. #2439C22semidirect
256. #2401C22semidirect
257. #2401C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
262. #2383C22semidirect
263. #2383C22semidirect
264. #2376C22semidirect
277. C4×#126C22semidirect
278. C4×#126C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
1621. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#531232
#531092
#530842
#530822
#530032
#529992
#529802
#529742
#523682
#523142
#460782
#460682
#460192
#459932
#457442
#457152
#456402
#456332
#454852
#454562
#355842
#355662
#355582
#355552
#355442
#355432
#352752
#352662
#352622
#352532
#351742
#351722
#348142
#347392
C2×#24222