Finite Group Databasebeta

← #7686294

Subgroups — #7686294

Order 512.

5121 conjugacy classes of subgroups.

The subgroup lattice has 1707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59700C212yesmaximal, complemented
2#59602C214yesmaximal, complemented
3#59456C211yesmaximal, characteristic, complemented
4#59398C212yesmaximal, complemented
5#59390C212yesmaximal, complemented
6#59073C212yesmaximal, complemented
7#59055C211yesmaximal, characteristic, complemented
8#59049C211yesmaximal, characteristic, complemented
9#45021C212yesmaximal, complemented
10#44918C212yesmaximal, complemented
11#44027C214yesmaximal, complemented
12#43967C214yesmaximal, complemented
13#40321C214yesmaximal, complemented
14#39531C212yesmaximal, complemented
15#39481C211yesmaximal, characteristic, complemented
16#39069C212yesmaximal, complemented
17#39023C212yesmaximal, complemented
18#38942C211yesmaximal, characteristic, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36587C211yesmaximal, characteristic, complemented
21#36504C212yesmaximal, complemented
22#36420C212yesmaximal, complemented
23#36298C212yesmaximal, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35968C212yesmaximal, complemented
28#35715C212yesmaximal, complemented
29#34911C212yesmaximal, complemented
30#34898C211yesmaximal, characteristic, complemented
31#34263C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#547C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#529C2212yes—
42C2×#520C2212yes—
43C2×C4×#41C2212yes—
44#2865C2214yes—
45#2860C2212yes—
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2856C2211yescharacteristic
50#2850C2212yes—
51#2850C2212yes—
52#2800C2214yes—
53#2793C2214yes—
54#2786C2214yes—
55#2777C2214yes—
56#2773C2214yes—
57#2770C2214yes—
58#2757C2214yes—
59#2756C2214yes—
60#2756C2214yes—
61#2755C2214yes—
62#2753C2214yes—
63#2753C2214yes—
64#2748C2214yes—
65#2741C2214yes—
66#2741C2214yes—
67#2741C2214yes—
68#2722C2214yes—
69#2721C2214yes—
70#2714C2214yes—
71#2699C2214yes—
72#2698C2214yes—
73#2651C2214yes—
74#2641C2212yes—
75#2630C2214yes—
76#2624C2212yes—
77#2604C2214yes—
78#2603C2214yes—
79#2602C2214yes—
80#2602C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2597C2214yes—
84#2597C2214yes—
85#2595C2214yes—
86#2593C2214yes—
87#2592C2212yes—
88#2585C2214yes—
89#2585C2214yes—
90#2584C2212yes—
91#2578C2214yes—
92#2578C2214yes—
93#2577C2212yes—
94#2575C2212yes—
95#2571C2211yescharacteristic
96#2570C2211yescharacteristic
97#2569C2214yes—
98#2565C2212yes—
99#2565C2211yescharacteristic
100#2562C2211yescharacteristic
101#2560C2214yes—
102#2559C2214yes—
103#2553C2214yes—
104#2552C2211yescharacteristic
105#2548C2212yes—
106#2548C2211yescharacteristic
107#2546C2211yescharacteristic
108#2545C2212yes—
109#2542C2211yescharacteristic
110#2542C2212yes—
111#2541C2211yescharacteristic
112#2540C2212yes—
113#2540C2212yes—
114#2537C2212yes—
115#2536C2212yes—
116#2536C2211yescharacteristic
117#2532C2214yes—
118#2531C2214yes—
119#2530C2214yes—
120#2526C2214yes—
121#2525C2214yes—
122#2524C2212yes—
123#2522C2214yes—
124#2518C2214yes—
125#2516C2214yes—
126#2515C2214yes—
127#2513C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2511C2212yes—
133#2509C2212yes—
134#2508C2212yes—
135#2507C2212yes—
136#2507C2212yes—
137#2504C2212yes—
138#2500C2212yes—
139#2499C2212yes—
140#2496C2211yescharacteristic
141#2495C2211yescharacteristic
142#2490C2212yes—
143#2490C2212yes—
144#2479C2214yes—
145#2479C2214yes—
146#2479C2214yes—
147#2478C2214yes—
148#2477C2214yes—
149#2471C2214yes—
150#2471C2214yes—
151#2470C2214yes—
152#2468C2214yes—
153#2468C2212yes—
154#2468C2214yes—
155#2467C2214yes—
156#2467C2214yes—
157#2467C2214yes—
158#2467C2214yes—
159#2454C2212yes—
160#2453C2212yes—
161#2452C2212yes—
162#2451C2212yes—
163#2449C2214yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2447C2212yes—
168#2446C2212yes—
169#2445C2212yes—
170#2444C2214yes—
171#2443C2214yes—
172#2442C2212yes—
173#2431C2212yes—
174#2429C2212yes—
175#2428C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2426C2212yes—
180#2426C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2423C2212yes—
184#2423C2211yescharacteristic
185#2423C2212yes—
186#2423C2214yes—
187#2421C2211yescharacteristic
188#2420C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2407C2212yes—
195#2407C2214yes—
196#2402C2212yes—
197#2395C2212yes—
198#2395C2214yes—
199#2388C2214yes—
200#2373C2214yes—
201#2370C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2366C2212yes—
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2363C2212yes—
217#2363C2214yes—
218#2363C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2361C2211yescharacteristic
223#2361C2211yescharacteristic
224#2361C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2359C2212yes—
228#2359C2212yes—
229#2357C2212yes—
230#2357C2214yes—
231#2356C2212yes—
232#2356C2212yes—
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2214yes—
240#2352C2214yes—
241#2351C2212yes—
242#2351C2212yes—
243Q8×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246#2347C2212yes—
247#2345C2214yes—
248#2345C2212yes—
249#2344C2211yescharacteristic
250#2344C2211yescharacteristic
251#2344C2214yes—
252#2343C2214yes—
253#2341C2212yes—
254#2341C2212yes—
255#2339C2212yes—
256#2336C2214yes—
257#2325C2214yes—
258#2320C2212yes—
259#2319C2212yes—
260#2319C2214yes—
261#2314C2212yes—
262#2314C2214yes—
263#2311C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#126C2212yes—
268C4×#126C2214yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2298C2214yes—
285#2298C2212yes—
286#2293C2212yes—
287#2293C2214yes—
288#2293C2214yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2276C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#556—48no—
303#547—28no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349#520—216no—
350C4×#41—48no—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#399C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2314yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#383C2314yes—
697#383C2312yes—
698#383C2314yes—
699#383C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#381C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2314yes—
812#376C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2314yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8#4118yescomplemented
859#127—24no—
860#127—44no—
861#126—216no—
862#126—48no—
863#126—48no—
864#126—44no—
865#126—48no—
866#125—28no—
867#125—24no—
868#125—44no—
869#124—28no—
870#124—28no—
871#124—28no—
872#124—44no—
873#124—44no—
874#123—28no—
875#123—28no—
876#123—48no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—24no—
891#121—48no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—216no—
912C4×D4—216no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—42no—
932#117—28no—
933#117—216no—
934#117—28no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—48no—
939#117—48no—
940#117—44no—
941#117—44no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4#4118yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C42—24no—
1070C2×C42—24no—
1071C2×C42—28no—
1072C2×C42—44no—
1073C2×C42—44no—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2512yes—
1185C24C2514yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188#41—432no—
1189#41—432no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—42no—
1201C2×Q8C2×#4118yes—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4C2×#4114yes—
1282C22×C4C2×#4118yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
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—44no—
1357C4⋊C4—44no—
1358C4⋊C4—41no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4118yes—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4118yes—
1381C4⋊C4C2×#4118yes—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—41no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—28no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—28no—
1447C42—28no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—41no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—41no—
1470C42—44no—
1471C42—44no—
1472C42—42no—
1473C42—42no—
1474C42C2×#4114yes—
1475C42H(5,𝔽2)14yes—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—24no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—24no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23C22×#4112yes—
1503C23#58512yes—
1504C23C2611yescharacteristic
1505Q8—216no—
1506Q8—48no—
1507Q8—44no—
1508Q8—48no—
1509D4—28no—
1510D4—48no—
1511D4—416no—
1512D4—48no—
1513D4—44no—
1514D4—48no—
1515D4—48no—
1516D4—84no—
1517D4—88no—
1518D4—88no—
1519D4—164no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—416no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—82no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4118yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4#58512yes—
1628C2×C4#58512yes—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—44no—
1644C22—42no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—44no—
1650C22—42no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—44no—
1655C22—44no—
1656C22—42no—
1657C22C23×#4111yescharacteristic
1658C22C23×#4111yescharacteristic
1659C22C22×H(5,𝔽2)11yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22C2×#58511yescharacteristic
1663C222−1+611yescharacteristic
1664C4—22no—
1665C4—24no—
1666C4—22no—
1667C4—24no—
1668C4—22no—
1669C4—22no—
1670C4—28no—
1671C4—42no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—44no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4#347514yes—
1694C4#351714yes—
1695C2—42no—
1696C2—42no—
1697C2—84no—
1698C2—82no—
1699C2C2×#347511yescharacteristic
1700C2#6277311yescharacteristic
1701C2C2×#351711yescharacteristic
1702C2#6296011yescharacteristic
1703C2#6300511yescharacteristic
1704C2#6300711yescharacteristic
1705C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59700C2semidirect
2. #59602C2semidirect
3. #59456C2semidirect
4. #59398C2semidirect
5. #59390C2semidirect
6. #59073C2semidirect
7. #59055C2semidirect
8. #59049C2semidirect
9. #45021C2semidirect
10. #44918C2semidirect
11. #44027C2semidirect
12. #43967C2semidirect
13. #40321C2semidirect
14. #39531C2semidirect
15. #39481C2semidirect
16. #39069C2semidirect
17. #39023C2semidirect
18. #38942C2semidirect
19. #36599C2semidirect
20. #36587C2semidirect
21. #36504C2semidirect
22. #36420C2semidirect
23. #36298C2semidirect
24. #36271C2semidirect
25. #36150C2semidirect
26. #36115C2semidirect
27. #35968C2semidirect
28. #35715C2semidirect
29. #34911C2semidirect
30. #34898C2semidirect
31. #34263C2semidirect
32. #34235C2semidirect
33. #34206C2semidirect
34. C4×#556C2semidirect
35. C4×#547C2semidirect
858. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597002
#596022
#594562
#593982
#593902
#590732
#590552
#590492
#450212
#449182
#440272
#439672
#403212
#395312
#394812
#390692
#390232
#389422
#365992
#365872
#365042
#364202
#362982
#362712
#361502
#361152
#359682
#357152
#349112
#348982
#342632
#342352
#342062
C4×#5562
C4×#5472