Finite Group Databasebeta

← #8094749

Subgroups — #8094749

Order 512.

4712 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53039C212yesmaximal, complemented
2#53038C212yesmaximal, complemented
3#53023C212yesmaximal, complemented
4#53009C212yesmaximal, complemented
5#53002C212yesmaximal, complemented
6#53001C212yesmaximal, complemented
7#52978C212yesmaximal, complemented
8#52968C212yesmaximal, complemented
9#52377C214yesmaximal, complemented
10#52322C214yesmaximal, complemented
11#46069C212yesmaximal, complemented
12#46068C212yesmaximal, complemented
13#46001C212yesmaximal, complemented
14#45993C212yesmaximal, complemented
15#45668C212yesmaximal, complemented
16#45648C212yesmaximal, complemented
17#45561C214yesmaximal, complemented
18#45502C212yesmaximal, complemented
19#45488C212yesmaximal, complemented
20#45446C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35576C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic
27#35279C211yesmaximal, characteristic, complemented
28#35275C211yesmaximal, characteristic, complemented
29#35267C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35227C211yesmaximal, characteristic
32#35224C211yesmaximal, characteristic, complemented
33#34814C211yesmaximal, characteristic, complemented
34#34742C211yesmaximal, characteristic
35C2×#2440C211yesmaximal, characteristic, complemented
36C2×#563C2214yes—
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C2×C4×#41C2211yescharacteristic
43C23×C4⋊C4C2211yescharacteristic
44#2868C2212yescomplemented
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2859C2212yescomplemented
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2851C2212yescomplemented
52#2849C2214yes—
53#2848C2214yes—
54#2844C2214yescomplemented
55#2843C2214yescomplemented
56#2841C2214yescomplemented
57#2839C2214yescomplemented
58#2839C2214yescomplemented
59#2839C2214yescomplemented
60#2838C2214yescomplemented
61#2838C2214yescomplemented
62#2838C2214yescomplemented
63#2836C2214yescomplemented
64#2835C2214yes—
65#2833C2214yescomplemented
66#2833C2214yescomplemented
67#2833C2214yescomplemented
68#2827C2214yes—
69#2821C2214yescomplemented
70#2821C2214yescomplemented
71#2817C2214yes—
72#2817C2214yescomplemented
73#2814C2214yes—
74#2791C2214yescomplemented
75#2787C2214yes—
76#2787C2214yescomplemented
77#2775C2214yescomplemented
78#2774C2214yescomplemented
79#2774C2214yescomplemented
80#2771C2214yes—
81#2769C2214yescomplemented
82#2765C2214yes—
83#2758C2214yescomplemented
84#2738C2214yes—
85#2738C2214yescomplemented
86#2734C2214yescomplemented
87#2729C2214yes—
88#2729C2214yes—
89#2728C2214yes—
90#2723C2214yes—
91#2723C2214yes—
92#2722C2214yescomplemented
93#2721C2214yescomplemented
94#2720C2214yes—
95#2720C2214yescomplemented
96#2718C2214yes—
97#2717C2214yes—
98#2713C2214yescomplemented
99#2713C2214yescomplemented
100#2702C2214yes—
101#2698C2214yes—
102#2698C2214yescomplemented
103#2695C2214yes—
104#2695C2214yes—
105#2690C2214yes—
106#2689C2214yes—
107#2689C2214yes—
108#2683C2214yes—
109#2680C2214yes—
110#2677C2214yes—
111#2677C2214yescomplemented
112#2674C2214yes—
113#2674C2214yes—
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2645C2212yescomplemented
117#2644C2212yescomplemented
118#2629C2212yescomplemented
119#2628C2212yescomplemented
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2627C2214yes—
123#2623C2214yes—
124#2583C2214yes—
125#2571C2212yescomplemented
126#2570C2212yescomplemented
127#2570C2212yescomplemented
128#2569C2214yes—
129#2568C2212yescomplemented
130#2567C2212yescomplemented
131#2563C2212yes—
132#2563C2212yescomplemented
133#2562C2212yes—
134#2562C2212yes—
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2551C2212yescomplemented
141#2551C2212yescomplemented
142#2551C2212yescomplemented
143#2551C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2547C2212yes—
149#2542C2212yescomplemented
150#2512C2212yescomplemented
151#2512C2212yescomplemented
152#2511C2212yescomplemented
153#2511C2212yescomplemented
154#2510C2214yes—
155#2509C2212yescomplemented
156#2509C2212yescomplemented
157#2509C2212yescomplemented
158#2508C2212yescomplemented
159#2508C2212yescomplemented
160#2508C2212yescomplemented
161#2507C2212yescomplemented
162#2507C2212yescomplemented
163#2507C2212yescomplemented
164#2506C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2505C2214yes—
168#2504C2212yes—
169#2503C2212yes—
170#2502C2212yes—
171#2501C2212yes—
172#2497C2212yes—
173#2497C2211yescharacteristic
174#2497C2211yescharacteristic
175#2497C2212yes—
176#2497C2212yescomplemented
177#2497C2212yescomplemented
178#2497C2212yescomplemented
179#2496C2212yes—
180#2496C2212yes—
181#2496C2211yescharacteristic
182#2496C2211yescharacteristic
183#2496C2212yescomplemented
184#2496C2212yescomplemented
185#2496C2212yescomplemented
186#2495C2211yescharacteristic
187#2495C2212yes—
188#2495C2211yescharacteristic
189#2495C2212yes—
190#2495C2212yescomplemented
191#2494C2212yes—
192#2494C2212yes—
193#2494C2211yescharacteristic
194#2494C2211yescharacteristic
195#2494C2212yescomplemented
196#2493C2212yes—
197#2493C2214yes—
198#2493C2212yes—
199#2492C2212yes—
200#2491C2212yes—
201#2490C2212yes—
202#2489C2212yes—
203#2488C2214yes—
204#2487C2212yes—
205#2487C2214yes—
206#2487C2212yes—
207#2486C2212yes—
208#2486C2212yes—
209#2481C2214yes—
210#2481C2214yes—
211#2481C2214yes—
212#2480C2212yes—
213#2480C2214yes—
214#2480C2212yes—
215#2473C2214yes—
216#2472C2214yes—
217#2454C2212yescomplemented
218#2453C2212yescomplemented
219#2452C2212yescomplemented
220#2451C2212yescomplemented
221#2450C2214yes—
222#2449C2214yes—
223#2442C2214yes—
224#2442C2212yes—
225#2442C2212yes—
226#2442C2212yes—
227#2442C2212yes—
228#2440C2212yes—
229#2440C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2440C2212yes—
233#2440C2212yes—
234#2440C2212yes—
235#2440C2212yes—
236#2440C2214yes—
237#2440C2212yes—
238#2440C2212yes—
239#2440C2212yes—
240#2440C2214yes—
241#2440C2212yes—
242#2434C2214yes—
243#2423C2211yescharacteristic
244#2423C2211yescharacteristic
245#2422C2211yescharacteristic
246#2422C2211yescharacteristic
247#2421C2211yescharacteristic
248#2421C2211yescharacteristic
249#2420C2211yescharacteristic
250#2420C2211yescharacteristic
251#2419C2212yes—
252#2419C2212yes—
253#2418C2212yes—
254#2418C2212yes—
255#2409C2214yes—
256#2401C2212yes—
257#2401C2212yes—
258#2395C2212yes—
259#2395C2212yes—
260C2×#398C2212yes—
261C2×#395C2212yes—
262#2383C2214yes—
263#2378C2214yes—
264#2376C2214yes—
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277C4×#126C2212yes—
278C4×#126C2212yes—
279C4×#123C2212yes—
280C4×#123C2212yes—
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#389C2211yescharacteristic
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
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#563—416no—
304#544—44no—
305#544—44no—
306C2×C4⋊Q8—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2314yes—
332#525—44no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8—48no—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#120C2312yes—
355C4×#41—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C22×C4⋊C4—44no—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393#401C2312yes—
394#401C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2314yes—
540#391C2311yescharacteristic
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2314yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#383C2312yes—
708#383C2312yes—
709#383C2314yes—
710#383C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#381C2314yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2312yes—
767#379C2312yes—
768#379C2312yes—
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⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C25C2411yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
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×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—48no—
868C4⋊Q8—48no—
869C4⋊Q8—84no—
870C4⋊Q8—84no—
871#126—28no—
872#126—28no—
873#126—48no—
874#126—48no—
875#126—48no—
876#126—84no—
877#125—44no—
878#125—44no—
879#125—44no—
880#125—44no—
881#125—48no—
882#125—48no—
883#124—48no—
884#123—28no—
885#123—28no—
886#123—44no—
887#123—48no—
888#123—84no—
889C22⋊Q8—216no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—42no—
898C22⋊Q8—42no—
899C22⋊Q8—48no—
900C22⋊Q8—84no—
901C22⋊Q8—84no—
902#121—42no—
903#121—42no—
904#120—44no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—44no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C22⋊C4—24no—
1016C2×C22⋊C4—24no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
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⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
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#95C2412yes—
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—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—41no—
1181C24—41no—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185C24C2511yescharacteristic
1186#41—416no—
1187C2×Q8—22no—
1188C2×Q8—28no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—816no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
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—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—416no—
1270C22×C4—816no—
1271C22×C4H(5,𝔽2)14yes—
1272C22×C42−1+414yes—
1273C22×C42−1+414yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
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—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
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—44no—
1370C4⋊C4—44no—
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—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C22⋊C4—22no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
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—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4H(5,𝔽2)14yes—
1431C22⋊C42−1+414yes—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—42no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—28no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2×2−1+412yes—
1490C23C2×2−1+412yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—44no—
1494Q8—88no—
1495Q8—88no—
1496Q8—164no—
1497Q8—164no—
1498D4—48no—
1499D4—44no—
1500D4—84no—
1501D4—84no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4#563116yescomplemented
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—416no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22C2×#56314yes—
1643C22C22×H(5,𝔽2)11yescharacteristic
1644C22C22×H(5,𝔽2)11yescharacteristic
1645C22C22×2−1+411yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C222−1+611yescharacteristic
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—41no—
1662C4—44no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—44no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4C2×#56314yes—
1680C4C2×#56314yes—
1681C2—24no—
1682C2—42no—
1683C2—42no—
1684C2—82no—
1685C2C22×#56311yescharacteristic
1686C2#6283311yescharacteristic
1687C2#6287711yescharacteristic
1688C2#6291211yescharacteristic
1689C2#6291511yescharacteristic
1690C2#6294211yescharacteristic
1691C2#6294511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53039C2semidirect
2. #53038C2semidirect
3. #53023C2semidirect
4. #53009C2semidirect
5. #53002C2semidirect
6. #53001C2semidirect
7. #52978C2semidirect
8. #52968C2semidirect
9. #52377C2semidirect
10. #52322C2semidirect
11. #46069C2semidirect
12. #46068C2semidirect
13. #46001C2semidirect
14. #45993C2semidirect
15. #45668C2semidirect
16. #45648C2semidirect
17. #45561C2semidirect
18. #45502C2semidirect
19. #45488C2semidirect
20. #45446C2semidirect
21. #35585C2semidirect
22. #35576C2semidirect
23. #35557C2semidirect
24. #35544C2semidirect
25. #35543C2semidirect
27. #35279C2semidirect
28. #35275C2semidirect
29. #35267C2semidirect
30. #35257C2semidirect
32. #35224C2semidirect
33. #34814C2semidirect
35. C2×#2440C2semidirect
44. #2868C22semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2851C22semidirect
54. #2844C22semidirect
55. #2843C22semidirect
56. #2841C22semidirect
57. #2839C22semidirect
58. #2839C22semidirect
59. #2839C22semidirect
60. #2838C22semidirect
61. #2838C22semidirect
62. #2838C22semidirect
63. #2836C22semidirect
65. #2833C22semidirect
66. #2833C22semidirect
67. #2833C22semidirect
69. #2821C22semidirect
70. #2821C22semidirect
72. #2817C22semidirect
74. #2791C22semidirect
76. #2787C22semidirect
77. #2775C22semidirect
78. #2774C22semidirect
79. #2774C22semidirect
81. #2769C22semidirect
83. #2758C22semidirect
85. #2738C22semidirect
86. #2734C22semidirect
92. #2722C22semidirect
93. #2721C22semidirect
95. #2720C22semidirect
98. #2713C22semidirect
99. #2713C22semidirect
102. #2698C22semidirect
111. #2677C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2645C22semidirect
117. #2644C22semidirect
118. #2629C22semidirect
119. #2628C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
125. #2571C22semidirect
126. #2570C22semidirect
127. #2570C22semidirect
129. #2568C22semidirect
130. #2567C22semidirect
132. #2563C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2551C22semidirect
141. #2551C22semidirect
142. #2551C22semidirect
143. #2551C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
149. #2542C22semidirect
150. #2512C22semidirect
151. #2512C22semidirect
152. #2511C22semidirect
153. #2511C22semidirect
155. #2509C22semidirect
156. #2509C22semidirect
157. #2509C22semidirect
158. #2508C22semidirect
159. #2508C22semidirect
160. #2508C22semidirect
161. #2507C22semidirect
162. #2507C22semidirect
163. #2507C22semidirect
164. #2506C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
176. #2497C22semidirect
177. #2497C22semidirect
178. #2497C22semidirect
183. #2496C22semidirect
184. #2496C22semidirect
185. #2496C22semidirect
190. #2495C22semidirect
195. #2494C22semidirect
217. #2454C22semidirect
218. #2453C22semidirect
219. #2452C22semidirect
220. #2451C22semidirect
1603. C2×C4#563semidirect

Maximal subgroups

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

subgroupindex
#530392
#530382
#530232
#530092
#530022
#530012
#529782
#529682
#523772
#523222
#460692
#460682
#460012
#459932
#456682
#456482
#455612
#455022
#454882
#454462
#355852
#355762
#355572
#355442
#355432
#355422
#352792
#352752
#352672
#352572
#352272
#352242
#348142
#347422
C2×#24402