Finite Group Databasebeta

← #7684781

Subgroups — #7684781

Order 512.

4965 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60011C214yesmaximal, complemented
2#59670C212yesmaximal, complemented
3#59580C212yesmaximal, complemented
4#59481C212yesmaximal, complemented
5#59467C211yesmaximal, characteristic, complemented
6#59294C212yesmaximal, complemented
7#59127C211yesmaximal, characteristic, complemented
8#59036C211yesmaximal, characteristic, complemented
9#45416C212yesmaximal, complemented
10#45089C212yesmaximal, complemented
11#44826C214yesmaximal, complemented
12#44821C214yesmaximal, complemented
13#40178C212yesmaximal, complemented
14#40167C212yesmaximal, complemented
15#39607C211yesmaximal, characteristic, complemented
16#39203C211yesmaximal, characteristic, complemented
17#38855C214yesmaximal, complemented
18#38203C212yesmaximal, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36491C212yesmaximal, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36367C212yesmaximal, complemented
24#36297C212yesmaximal
25#36186C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35997C212yesmaximal, complemented
28#35832C212yesmaximal, complemented
29#34978C212yesmaximal, complemented
30#34797C211yesmaximal, characteristic
31#34311C211yesmaximal, characteristic, complemented
32#34311C212yesmaximal, complemented
33#34209C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#552C2211yescharacteristic
37C2×#552C2212yes—
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C2×#519C2212yes—
43C2×#519C2212yes—
44#2866C2214yes—
45#2864C2212yes—
46#2863C2212yes—
47#2862C2211yescharacteristic
48#2860C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2854C2212yes—
52#2802C2214yes—
53#2798C2214yes—
54#2793C2214yes—
55#2791C2214yes—
56#2758C2214yes—
57#2755C2214yes—
58#2755C2214yes—
59#2754C2214yes—
60#2754C2214yes—
61#2740C2214yes—
62#2739C2214yes—
63#2739C2214yes—
64#2725C2214yes—
65#2722C2214yes—
66#2713C2214yes—
67#2704C2214yes—
68#2704C2214yes—
69#2698C2214yes—
70#2692C2214yes—
71#2687C2214yes—
72#2677C2214yes—
73#2637C2214yes—
74#2634C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2612C2214yes—
78#2612C2214yes—
79#2609C2214yes—
80#2606C2214yes—
81#2601C2214yes—
82#2601C2214yes—
83#2599C2214yes—
84#2596C2214yes—
85#2590C2214yes—
86#2590C2214yes—
87#2588C2214yes—
88#2588C2214yes—
89#2585C2214yes—
90#2584C2214yes—
91#2577C2214yes—
92#2571C2212yes—
93#2570C2212yes—
94#2567C2211yescharacteristic
95#2565C2212yes—
96#2563C2211yescharacteristic
97#2560C2214yes—
98#2552C2211yescharacteristic
99#2552C2211yescharacteristic
100#2552C2212yes—
101#2552C2212yes—
102#2551C2212yes—
103#2550C2212yes—
104#2550C2212yes—
105#2546C2211yescharacteristic
106#2542C2211yescharacteristic
107#2538C2212yes—
108#2532C2214yes—
109#2532C2214yes—
110#2531C2212yes—
111#2530C2214yes—
112#2529C2212yes—
113#2526C2214yes—
114#2525C2214yes—
115#2524C2214yes—
116#2524C2214yes—
117#2522C2214yes—
118#2520C2214yes—
119#2520C2214yes—
120#2519C2214yes—
121#2519C2214yes—
122#2518C2212yes—
123#2516C2214yes—
124#2515C2214yes—
125#2513C2212yes—
126#2513C2212yes—
127#2512C2212yes—
128#2512C2211yescharacteristic
129#2511C2212yes—
130#2509C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2507C2212yes—
134#2507C2211yescharacteristic
135#2507C2212yes—
136#2507C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2500C2211yescharacteristic
140#2498C2214yes—
141#2497C2212yes—
142#2497C2212yes—
143#2496C2212yes—
144#2495C2212yes—
145#2495C2211yescharacteristic
146#2492C2212yes—
147#2490C2212yes—
148#2490C2211yescharacteristic
149#2489C2212yes—
150#2489C2212yes—
151#2485C2212yes—
152#2485C2211yescharacteristic
153#2478C2214yes—
154#2478C2214yes—
155#2477C2214yes—
156#2475C2214yes—
157#2471C2214yes—
158#2470C2214yes—
159#2470C2214yes—
160#2467C2212yes—
161#2466C2214yes—
162#2465C2214yes—
163#2462C2214yes—
164#2458C2214yes—
165#2457C2214yes—
166#2454C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2452C2212yes—
171#2451C2212yes—
172#2449C2214yes—
173#2446C2212yes—
174#2446C2212yes—
175#2442C2212yes—
176#2441C2214yes—
177#2441C2212yes—
178#2441C2211yescharacteristic
179#2440C2212yes—
180#2439C2212yes—
181#2439C2214yes—
182#2439C2212yes—
183#2434C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2429C2212yes—
187#2423C2212yes—
188#2423C2212yes—
189#2421C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2414C2211yescharacteristic
193#2409C2212yes—
194#2409C2212yes—
195#2409C2212yes—
196#2396C2214yes—
197#2396C2214yes—
198#2395C2212yes—
199#2392C2212yes—
200#2373C2214yes—
201#2373C2212yes—
202#2371C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2369C2211yescharacteristic
209#2369C2211yescharacteristic
210#2368C2214yes—
211#2365C2214yes—
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2212yes—
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2212yes—
221#2363C2212yes—
222#2362C2211yescharacteristic
223#2362C2214yes—
224#2362C2214yes—
225#2362C2212yes—
226#2362C2214yes—
227#2362C2212yes—
228#2361C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2360C2211yescharacteristic
233#2359C2212yes—
234#2356C2211yescharacteristic
235#2355C2212yes—
236#2354C2214yes—
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2352C2212yes—
241#2352C2211yescharacteristic
242Q8×C4⋊C4C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2347C2212yes—
246#2346C2211yescharacteristic
247#2344C2214yes—
248#2344C2211yescharacteristic
249#2344C2212yes—
250#2344C2212yes—
251#2343C2212yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254Q8×C22⋊C4C2212yes—
255#2327C2214yes—
256#2323C2214yes—
257#2323C2214yes—
258#2323C2214yes—
259#2323C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2310C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2214yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2214yes—
274C4×#125C2212yes—
275C4×#126C2212yes—
276C4×#126C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2296C2212yes—
283#2295C2212yes—
284#2295C2214yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2214yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301#552—28no—
302#552—48no—
303D4×Q8—28no—
304D4×Q8—216no—
305#533—28no—
306C2×C4⋊Q8—28no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344#519—48no—
345#519—48no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#392C2312yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2314yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#383C2312yes—
692#383C2312yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C22×Q8—28no—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—216no—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8#4118yes—
854#126—28no—
855#126—48no—
856#126—48no—
857#126—44no—
858#125—28no—
859#125—28no—
860#125—24no—
861#125—24no—
862#125—28no—
863#125—48no—
864#125—44no—
865#125—48no—
866#123—28no—
867#123—48no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—216no—
873C22⋊Q8—216no—
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8#4118yes—
880#121—24no—
881#121—24no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—48no—
891C4×Q8—48no—
892C4×Q8—48no—
893C4×Q8—48no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—42no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—24no—
913#117—44no—
914#117—44no—
915#117—48no—
916#117—44no—
917#117—48no—
918#117—48no—
919#117—48no—
920#117—48no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—28no—
1176C2×Q8—28no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—28no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—432no—
1190C2×Q8—432no—
1191C2×Q8C2×#4118yes—
1192C2×Q8C2×#4114yes—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4C2×#4114yes—
1237C22×C42−1+414yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
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⋊C4C2×#4118yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C4C2×#4118yes—
1348C4⋊C4H(5,𝔽2)14yes—
1349C4⋊C42−1+414yes—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—24no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4C2×#4118yes—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—24no—
1396C42—28no—
1397C42—24no—
1398C42—22no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—28no—
1403C42—24no—
1404C42—28no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—28no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—44no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—41no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—41no—
1431C42—44no—
1432C42—42no—
1433C42C2×#4114yes—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23C22×#4112yes—
1454C23C2×2−1+412yes—
1455C23C2611yescharacteristic
1456Q8—216no—
1457Q8—28no—
1458Q8—416no—
1459Q8—416no—
1460Q8—48no—
1461Q8—84no—
1462D4—48no—
1463D4—44no—
1464D4—44no—
1465D4—84no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—28no—
1485C2×C4—28no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—44no—
1550C2×C4—416no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—416no—
1554C2×C4—44no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—82no—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4114yes—
1561C2×C4C22×#4118yes—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C2×H(5,𝔽2)14yes—
1567C2×C4C2×H(5,𝔽2)12yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4C2×2−1+414yes—
1570C2×C4C2×2−1+412yes—
1571C2×C4C2×2−1+412yes—
1572C2×C4#58512yes—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22C23×#4111yescharacteristic
1595C22C23×#4111yescharacteristic
1596C22C22×H(5,𝔽2)11yescharacteristic
1597C22C22×2−1+411yescharacteristic
1598C22C22×2−1+411yescharacteristic
1599C22C2×#58511yescharacteristic
1600C222−1+611yescharacteristic
1601C4—24no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—24no—
1606C4—24no—
1607C4—22no—
1608C4—24no—
1609C4—28no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4#348114yes—
1632C4#352314yes—
1633C2—42no—
1634C2—42no—
1635C2—82no—
1636C2C2×#348111yescharacteristic
1637C2C2×#352311yescharacteristic
1638C2#6280511yescharacteristic
1639C2#6291511yescharacteristic
1640C2#6299811yescharacteristic
1641C2#6300511yescharacteristic
1642C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60011C2semidirect
2. #59670C2semidirect
3. #59580C2semidirect
4. #59481C2semidirect
5. #59467C2semidirect
6. #59294C2semidirect
7. #59127C2semidirect
8. #59036C2semidirect
9. #45416C2semidirect
10. #45089C2semidirect
11. #44826C2semidirect
12. #44821C2semidirect
13. #40178C2semidirect
14. #40167C2semidirect
15. #39607C2semidirect
16. #39203C2semidirect
17. #38855C2semidirect
18. #38203C2semidirect
19. #36556C2semidirect
20. #36491C2semidirect
21. #36481C2semidirect
22. #36459C2semidirect
23. #36367C2semidirect
25. #36186C2semidirect
26. #36129C2semidirect
27. #35997C2semidirect
28. #35832C2semidirect
29. #34978C2semidirect
31. #34311C2semidirect
32. #34311C2semidirect
33. #34209C2semidirect
34. C4×#552C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#600112
#596702
#595802
#594812
#594672
#592942
#591272
#590362
#454162
#450892
#448262
#448212
#401782
#401672
#396072
#392032
#388552
#382032
#365562
#364912
#364812
#364592
#363672
#362972
#361862
#361292
#359972
#358322
#349782
#347972
#343112
#342092
C4×#5522
#341452