Finite Group Databasebeta

← #7806362

Subgroups — #7806362

Order 512.

5118 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59755C212yesmaximal, complemented
3#59750C212yesmaximal, complemented
4#59716C212yesmaximal, complemented
5#59713C212yesmaximal, complemented
6#59654C211yesmaximal, characteristic, complemented
7#59459C211yesmaximal, characteristic, complemented
8#59434C211yesmaximal, characteristic, complemented
9#59429C212yesmaximal, complemented
10#59395C212yesmaximal, complemented
11#59233C211yesmaximal, characteristic, complemented
12#59218C211yesmaximal, characteristic, complemented
13#59127C211yesmaximal, characteristic, complemented
14#59125C211yesmaximal, characteristic, complemented
15#59100C212yesmaximal, complemented
16#59036C212yesmaximal, complemented
17#47645C214yesmaximal, complemented
18#47562C214yesmaximal, complemented
19#42867C212yesmaximal, complemented
20#42835C212yesmaximal, complemented
21#42618C212yesmaximal, complemented
22#42585C212yesmaximal, complemented
23#42106C214yesmaximal, complemented
24#37627C211yesmaximal, characteristic, complemented
25#36007C212yesmaximal, complemented
26#35866C214yesmaximal, complemented
27#35771C212yesmaximal, complemented
28#35747C212yesmaximal, complemented
29#35725C212yesmaximal, complemented
30#34974C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34316C211yesmaximal, characteristic, complemented
34#34311C211yesmaximal, characteristic, complemented
35#34216C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#547C2211yescharacteristic
42C2×#533C2212yes—
43C22×C4⋊Q8C2211yescharacteristic
44C2×#519C2212yes—
45#2837C2214yes—
46#2832C2214yes—
47#2830C2214yes—
48#2803C2214yes—
49#2792C2214yes—
50#2788C2214yes—
51#2788C2214yes—
52#2785C2214yes—
53#2783C2214yes—
54#2777C2214yes—
55#2775C2214yes—
56#2765C2214yes—
57#2759C2214yes—
58#2756C2214yes—
59#2727C2214yes—
60#2727C2214yes—
61#2718C2214yes—
62#2715C2214yes—
63#2712C2214yes—
64#2700C2214yes—
65#2692C2214yes—
66#2692C2214yes—
67#2691C2214yes—
68#2681C2214yes—
69#2677C2214yes—
70#2674C2214yes—
71#2672C2214yes—
72#2666C2214yes—
73#2662C2214yes—
74#2653C2214yes—
75#2651C2214yes—
76#2649C2214yes—
77#2637C2214yes—
78#2629C2212yes—
79#2625C2212yes—
80#2624C2212yes—
81#2620C2212yes—
82#2620C2214yes—
83#2610C2214yes—
84#2606C2214yes—
85#2604C2214yes—
86#2601C2214yes—
87#2597C2214yes—
88#2596C2214yes—
89#2594C2214yes—
90#2594C2214yes—
91#2587C2214yes—
92#2586C2214yes—
93#2584C2212yes—
94#2581C2214yes—
95#2570C2214yes—
96#2567C2212yes—
97#2567C2212yes—
98#2563C2212yes—
99#2563C2212yes—
100#2560C2214yes—
101#2556C2214yes—
102#2556C2214yes—
103#2555C2214yes—
104#2552C2211yescharacteristic
105#2551C2212yes—
106#2551C2211yescharacteristic
107#2550C2212yes—
108#2550C2214yes—
109#2548C2212yes—
110#2547C2211yescharacteristic
111#2546C2211yescharacteristic
112#2545C2212yes—
113#2545C2214yes—
114#2542C2211yescharacteristic
115#2542C2211yescharacteristic
116#2538C2211yescharacteristic
117#2538C2214yes—
118#2538C2212yes—
119#2538C2212yes—
120#2537C2211yescharacteristic
121#2536C2212yes—
122#2532C2212yes—
123#2531C2212yes—
124#2529C2212yes—
125#2526C2212yes—
126#2521C2214yes—
127#2518C2214yes—
128#2514C2212yes—
129#2513C2211yescharacteristic
130#2512C2212yes—
131#2512C2212yes—
132#2512C2212yes—
133#2512C2211yescharacteristic
134#2508C2211yescharacteristic
135#2507C2211yescharacteristic
136#2506C2212yes—
137#2497C2211yescharacteristic
138#2497C2212yes—
139#2497C2212yes—
140#2497C2212yes—
141#2496C2212yes—
142#2495C2211yescharacteristic
143#2494C2212yes—
144#2492C2212yes—
145#2491C2212yes—
146#2491C2212yes—
147#2491C2212yes—
148#2491C2212yes—
149#2491C2211yescharacteristic
150#2490C2212yes—
151#2490C2212yes—
152#2490C2211yescharacteristic
153#2485C2212yes—
154#2479C2212yes—
155#2478C2214yes—
156#2478C2214yes—
157#2476C2212yes—
158#2476C2214yes—
159#2474C2212yes—
160#2474C2214yes—
161#2474C2214yes—
162#2474C2214yes—
163#2471C2212yes—
164#2467C2214yes—
165#2465C2214yes—
166#2465C2214yes—
167#2465C2214yes—
168#2465C2214yes—
169#2461C2214yes—
170#2460C2214yes—
171#2454C2214yes—
172#2454C2211yescharacteristic
173#2452C2212yes—
174#2452C2212yes—
175#2451C2212yes—
176#2451C2212yes—
177#2451C2211yescharacteristic
178#2449C2214yes—
179#2448C2214yes—
180#2448C2212yes—
181#2448C2211yescharacteristic
182#2445C2211yescharacteristic
183#2443C2214yes—
184#2441C2212yes—
185#2440C2212yes—
186#2440C2212yes—
187#2440C2212yes—
188#2439C2214yes—
189#2434C2212yes—
190#2432C2212yes—
191#2429C2212yes—
192#2429C2212yes—
193#2429C2212yes—
194#2429C2214yes—
195#2428C2212yes—
196#2428C2211yescharacteristic
197#2426C2214yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2423C2212yes—
201#2423C2211yescharacteristic
202#2420C2211yescharacteristic
203#2416C2212yes—
204#2415C2212yes—
205#2415C2214yes—
206#2415C2212yes—
207#2414C2214yes—
208#2414C2212yes—
209#2414C2212yes—
210#2409C2212yes—
211#2409C2212yes—
212#2409C2212yes—
213#2407C2212yes—
214#2399C2214yes—
215#2396C2214yes—
216#2396C2212yes—
217#2395C2212yes—
218#2395C2212yes—
219#2392C2214yes—
220#2392C2212yes—
221#2374C2214yes—
222#2373C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2212yes—
226#2369C2212yes—
227#2367C2214yes—
228#2367C2214yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2365C2212yes—
234#2365C2212yes—
235#2363C2212yes—
236#2363C2214yes—
237#2362C2212yes—
238#2362C2214yes—
239#2362C2212yes—
240#2362C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251#2347C2212yes—
252#2346C2212yes—
253#2346C2212yes—
254#2345C2212yes—
255#2345C2212yes—
256#2345C2212yes—
257#2341C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260Q8×C22⋊C4C2212yes—
261#2335C2214yes—
262#2331C2212yes—
263#2331C2212yes—
264#2324C2212yes—
265#2323C2214yes—
266#2323C2212yes—
267#2316C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288#2297C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2212yes—
293#2285C2211yescharacteristic
294#2274C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302#556—48no—
303D4×Q8—28no—
304D4×Q8—48no—
305#548—48no—
306#548—48no—
307#547—28no—
308#533—48no—
309C2×C4⋊Q8—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2311yescharacteristic
361#519—48no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2314yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2314yes—
716#384C2312yes—
717#384C2312yes—
718#383C2312yes—
719#383C2314yes—
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#381C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813#376C2311yescharacteristic
814#376C2311yescharacteristic
815#376C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—28no—
823C22×Q8—28no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—48no—
866C4⋊Q8#4118yes—
867#127—42no—
868#126—48no—
869#126—48no—
870#126—44no—
871#126—48no—
872#125—24no—
873#125—44no—
874#125—48no—
875#124—24no—
876#124—28no—
877#124—48no—
878#124—48no—
879#124—44no—
880#124—48no—
881#124—48no—
882#123—216no—
883#123—44no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—24no—
888C22⋊Q8—216no—
889C22⋊Q8—28no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—48no—
903#121—48no—
904#121—42no—
905#121—44no—
906#121—44no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—28no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—48no—
913C4×Q8—48no—
914C4×Q8—48no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—42no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—48no—
936#117—28no—
937#117—28no—
938#117—24no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—48no—
945#117—42no—
946#117—44no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C42—24no—
1082C2×C42—44no—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2512yes—
1190C24C2511yescharacteristic
1191#41—816no—
1192C2×Q8—22no—
1193C2×Q8—28no—
1194C2×Q8—24no—
1195C2×Q8—28no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—28no—
1203C2×Q8—24no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—432no—
1212C2×Q8—816no—
1213C2×Q8C2×#4118yes—
1214C2×Q8H(5,𝔽2)14yes—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4C2×#4118yes—
1379C4⋊C4C2×#4118yes—
1380C4⋊C4H(5,𝔽2)14yes—
1381C4⋊C42−1+414yes—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C42−1+414yes—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—24no—
1446C42—28no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—28no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—28no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—28no—
1463C42—24no—
1464C42—22no—
1465C42—42no—
1466C42—42no—
1467C42—41no—
1468C42—41no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—42no—
1477C42C2×#4114yes—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23C2×2−1+412yes—
1506C23C2611yescharacteristic
1507Q8—28no—
1508Q8—216no—
1509Q8—48no—
1510Q8—416no—
1511Q8—48no—
1512Q8—88no—
1513Q8—88no—
1514D4—48no—
1515D4—48no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—84no—
1520D4—88no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—48no—
1605C2×C4—416no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—84no—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4118yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4C2×2−1+414yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4C2×2−1+412yes—
1626C2×C4#58512yes—
1627C2×C4#58512yes—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C22×2−1+411yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22C2×#58511yescharacteristic
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—24no—
1667C4—24no—
1668C4—28no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—44no—
1685C4—42no—
1686C4—41no—
1687C4—44no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4#351814yes—
1693C4#351914yes—
1694C2—42no—
1695C2—82no—
1696C2—82no—
1697C2—82no—
1698C2C2×#351911yescharacteristic
1699C2#6278811yescharacteristic
1700C2C2×#351811yescharacteristic
1701C2#6301311yescharacteristic
1702C2#6301611yescharacteristic
1703C2#6302211yescharacteristic
1704C2#6303911yescharacteristic
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. #59821C2semidirect
2. #59755C2semidirect
3. #59750C2semidirect
4. #59716C2semidirect
5. #59713C2semidirect
6. #59654C2semidirect
7. #59459C2semidirect
8. #59434C2semidirect
9. #59429C2semidirect
10. #59395C2semidirect
11. #59233C2semidirect
12. #59218C2semidirect
13. #59127C2semidirect
14. #59125C2semidirect
15. #59100C2semidirect
16. #59036C2semidirect
17. #47645C2semidirect
18. #47562C2semidirect
19. #42867C2semidirect
20. #42835C2semidirect
21. #42618C2semidirect
22. #42585C2semidirect
23. #42106C2semidirect
24. #37627C2semidirect
25. #36007C2semidirect
26. #35866C2semidirect
27. #35771C2semidirect
28. #35747C2semidirect
29. #35725C2semidirect
30. #34974C2semidirect
31. #34970C2semidirect
32. #34929C2semidirect
33. #34316C2semidirect
34. #34311C2semidirect
35. #34216C2semidirect

Maximal subgroups

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

subgroupindex
#598212
#597552
#597502
#597162
#597132
#596542
#594592
#594342
#594292
#593952
#592332
#592182
#591272
#591252
#591002
#590362
#476452
#475622
#428672
#428352
#426182
#425852
#421062
#376272
#360072
#358662
#357712
#357472
#357252
#349742
#349702
#349292
#343162
#343112
#342162