Finite Group Databasebeta

← #7671105

Subgroups — #7671105

Order 512.

5090 conjugacy classes of subgroups.

The subgroup lattice has 1701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59731C214yesmaximal, complemented
2#59684C212yesmaximal, complemented
3#59462C212yesmaximal, complemented
4#59276C212yesmaximal, complemented
5#59098C212yesmaximal, complemented
6#59081C211yesmaximal, characteristic, complemented
7#59078C211yesmaximal, characteristic, complemented
8#59066C211yesmaximal, characteristic
9#59065C211yesmaximal, characteristic, complemented
10#40395C214yesmaximal, complemented
11#40225C212yesmaximal, complemented
12#40179C212yesmaximal, complemented
13#39905C212yesmaximal, complemented
14#39882C212yesmaximal, complemented
15#38735C214yesmaximal, complemented
16#36639C211yesmaximal, characteristic, complemented
17#36513C212yesmaximal, complemented
18#36508C211yesmaximal, characteristic, complemented
19#36476C211yesmaximal, characteristic, complemented
20#36474C211yesmaximal, characteristic, complemented
21#36457C211yesmaximal, characteristic, complemented
22#36419C211yesmaximal, characteristic, complemented
23#36385C212yesmaximal, complemented
24#36379C212yesmaximal, complemented
25#36373C212yesmaximal, complemented
26#36313C211yesmaximal, characteristic, complemented
27#36300C211yesmaximal, characteristic, complemented
28#36271C211yesmaximal, characteristic, complemented
29#35476C214yesmaximal, complemented
30#35114C212yesmaximal, complemented
31#35046C212yesmaximal, complemented
32#34322C212yesmaximal, complemented
33#34316C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#547C2212yes—
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46#2863C2212yes—
47#2862C2211yescharacteristic
48#2862C2211yescharacteristic
49#2862C2212yes—
50#2861C2212yes—
51#2861C2212yes—
52#2861C2212yes—
53#2860C2212yes—
54#2860C2212yes—
55#2858C2212yes—
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2855C2212yes—
59#2850C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2801C2214yes—
65#2800C2214yes—
66#2770C2214yes—
67#2768C2214yes—
68#2759C2214yes—
69#2742C2214yes—
70#2737C2214yes—
71#2729C2214yes—
72#2727C2214yes—
73#2723C2214yes—
74#2711C2214yes—
75#2705C2214yes—
76#2702C2214yes—
77#2687C2214yes—
78#2681C2214yes—
79#2671C2214yes—
80#2653C2214yes—
81#2651C2214yes—
82#2636C2214yes—
83#2632C2214yes—
84#2610C2214yes—
85#2609C2214yes—
86#2607C2214yes—
87#2601C2214yes—
88#2601C2214yes—
89#2601C2214yes—
90#2593C2214yes—
91#2592C2212yes—
92#2589C2214yes—
93#2589C2214yes—
94#2587C2214yes—
95#2580C2212yes—
96#2576C2214yes—
97#2574C2214yes—
98#2574C2214yes—
99#2570C2212yes—
100#2568C2211yescharacteristic
101#2567C2212yes—
102#2567C2211yescharacteristic
103#2565C2212yes—
104#2563C2212yes—
105#2563C2211yescharacteristic
106#2560C2214yes—
107#2559C2214yes—
108#2559C2214yes—
109#2558C2214yes—
110#2550C2212yes—
111#2550C2212yes—
112#2550C2212yes—
113#2550C2214yes—
114#2550C2214yes—
115#2548C2212yes—
116#2548C2211yescharacteristic
117#2548C2211yescharacteristic
118#2546C2212yes—
119#2546C2211yescharacteristic
120#2546C2211yescharacteristic
121#2545C2212yes—
122#2545C2212yes—
123#2545C2212yes—
124#2544C2212yes—
125#2544C2212yes—
126#2542C2211yescharacteristic
127#2532C2214yes—
128#2530C2214yes—
129#2529C2214yes—
130#2528C2214yes—
131#2526C2214yes—
132#2525C2214yes—
133#2524C2214yes—
134#2522C2214yes—
135#2521C2214yes—
136#2521C2214yes—
137#2519C2214yes—
138#2519C2214yes—
139#2518C2214yes—
140#2518C2214yes—
141#2518C2214yes—
142#2516C2214yes—
143#2514C2212yes—
144#2514C2212yes—
145#2513C2212yes—
146#2512C2212yes—
147#2512C2212yes—
148#2500C2212yes—
149#2492C2212yes—
150#2492C2212yes—
151#2491C2212yes—
152#2491C2214yes—
153#2491C2214yes—
154#2491C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2479C2214yes—
158#2476C2214yes—
159#2474C2214yes—
160#2474C2214yes—
161#2474C2214yes—
162#2473C2214yes—
163#2470C2214yes—
164#2469C2214yes—
165#2460C2214yes—
166#2459C2214yes—
167#2458C2214yes—
168#2454C2212yes—
169#2454C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2452C2212yes—
173#2451C2212yes—
174#2448C2212yes—
175#2448C2212yes—
176#2448C2212yes—
177#2446C2212yes—
178#2446C2214yes—
179#2445C2212yes—
180#2443C2214yes—
181#2441C2212yes—
182#2439C2212yes—
183#2432C2212yes—
184#2432C2212yes—
185#2432C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2428C2212yes—
190#2427C2212yes—
191#2426C2212yes—
192#2426C2212yes—
193#2423C2212yes—
194#2422C2212yes—
195#2421C2212yes—
196#2415C2212yes—
197#2407C2212yes—
198#2374C2214yes—
199#2374C2214yes—
200#2373C2214yes—
201#2373C2214yes—
202#2373C2214yes—
203#2372C2214yes—
204#2369C2211yescharacteristic
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2366C2211yescharacteristic
211#2365C2212yes—
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2363C2214yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2360C2214yes—
220#2357C2212yes—
221#2356C2212yes—
222#2355C2212yes—
223#2354C2212yes—
224#2354C2212yes—
225#2351C2212yes—
226#2351C2212yes—
227#2351C2212yes—
228D4×C4⋊C4C2212yes—
229#2346C2214yes—
230#2345C2214yes—
231#2341C2212yes—
232#2341C2212yes—
233#2341C2212yes—
234#2337C2214yes—
235#2335C2214yes—
236#2335C2214yes—
237#2334C2214yes—
238#2334C2214yes—
239#2324C2214yes—
240#2323C2214yes—
241C4×C4⋊Q8C2212yes—
242C4×C4⋊Q8C2212yes—
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×C4⋊Q8C2211yescharacteristic
247C4×#125C2212yes—
248C4×#125C2211yescharacteristic
249C4×#125C2212yes—
250C4×#125C2211yescharacteristic
251C4×#126C2212yes—
252C4×#126C2212yes—
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2211yescharacteristic
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2211yescharacteristic
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273#2298C2212yes—
274#2297C2212yes—
275#2297C2212yes—
276#2297C2212yes—
277#2296C2212yes—
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2274C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301Q82—44no—
302#557—44no—
303#556—216no—
304#556—44no—
305#550—44no—
306#547—216no—
307#533—28no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2314yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323#529—28no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2311yescharacteristic
413#401C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
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#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#381C2314yes—
709#381C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C4⋊Q8—24no—
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—48no—
866#127—24no—
867#127—44no—
868#126—28no—
869#126—216no—
870#126—216no—
871#126—48no—
872#126—48no—
873#125—24no—
874#125—28no—
875#125—44no—
876#125—44no—
877#125—48no—
878#124—24no—
879#124—28no—
880#124—28no—
881#124—28no—
882#124—44no—
883#124—44no—
884#124—48no—
885#124—48no—
886#124—44no—
887#124—44no—
888#124—44no—
889#123—28no—
890#123—216no—
891#123—216no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—28no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8#4118yes—
902#121—24no—
903#121—216no—
904#121—48no—
905#121—44no—
906#121—44no—
907#121—44no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—44no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8#4118yescomplemented
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940#117—28no—
941#117—28no—
942#117—216no—
943#117—44no—
944#117—44no—
945#117—48no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—216no—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—42no—
1066C2×C42—44no—
1067C2×C42—42no—
1068C2×C42—42no—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
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#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2514yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194#41—816no—
1195#41—816no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8C2×#4114yes—
1219C2×Q8C2×#4114yes—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—24no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4C2×#4114yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4118yes—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4118yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4C2×#4118yes—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—42no—
1465C42—42no—
1466C42—41no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42C2×#4114yes—
1480C42C2×#4118yes—
1481C42H(5,𝔽2)14yes—
1482C422−1+414yes—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—24no—
1490C23—22no—
1491C23—22no—
1492C23—24no—
1493C23—22no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—22no—
1502C23—24no—
1503C23C22×#4112yes—
1504C23C2611yescharacteristic
1505Q8—28no—
1506Q8—28no—
1507Q8—48no—
1508Q8—48no—
1509Q8—44no—
1510Q8—48no—
1511Q8—84no—
1512Q8—164no—
1513D4—48no—
1514D4—44no—
1515D4—48no—
1516D4—48no—
1517D4—84no—
1518D4—88no—
1519D4—88no—
1520D4—164no—
1521C2×C4—28no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—28no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—44no—
1602C2×C4—416no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4C22×#4114yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4#58512yes—
1628C2×C4#58512yes—
1629C2×C4#58512yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—42no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22C23×#4111yescharacteristic
1652C22C23×#4111yescharacteristic
1653C22C22×H(5,𝔽2)11yescharacteristic
1654C22C22×2−1+411yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C4—22no—
1659C4—24no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—24no—
1668C4—24no—
1669C4—22no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—42no—
1684C4—44no—
1685C4—42no—
1686C4—41no—
1687C4—42no—
1688C4#351114yes—
1689C4#351414yes—
1690C2—42no—
1691C2—82no—
1692C2—84no—
1693C2#41211yescharacteristic
1694C2C2×#351411yescharacteristic
1695C2#6278811yescharacteristic
1696C2#6279311yescharacteristic
1697C2C2×#351111yescharacteristic
1698C2#6283111yescharacteristic
1699C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59066C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59731C2semidirect
2. #59684C2semidirect
3. #59462C2semidirect
4. #59276C2semidirect
5. #59098C2semidirect
6. #59081C2semidirect
7. #59078C2semidirect
9. #59065C2semidirect
10. #40395C2semidirect
11. #40225C2semidirect
12. #40179C2semidirect
13. #39905C2semidirect
14. #39882C2semidirect
15. #38735C2semidirect
16. #36639C2semidirect
17. #36513C2semidirect
18. #36508C2semidirect
19. #36476C2semidirect
20. #36474C2semidirect
21. #36457C2semidirect
22. #36419C2semidirect
23. #36385C2semidirect
24. #36379C2semidirect
25. #36373C2semidirect
26. #36313C2semidirect
27. #36300C2semidirect
28. #36271C2semidirect
29. #35476C2semidirect
30. #35114C2semidirect
31. #35046C2semidirect
32. #34322C2semidirect
33. #34316C2semidirect
34. C4×#533C2semidirect
35. C4×#529C2semidirect
928. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597312
#596842
#594622
#592762
#590982
#590812
#590782
#590662
#590652
#403952
#402252
#401792
#399052
#398822
#387352
#366392
#365132
#365082
#364762
#364742
#364572
#364192
#363852
#363792
#363732
#363132
#363002
#362712
#354762
#351142
#350462
#343222
#343162
C4×#5332
C4×#5292