Finite Group Databasebeta

← #7652100

Subgroups — #7652100

Order 512.

5595 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42991C212yesmaximal, complemented
2#42920C212yesmaximal, complemented
3#42857C212yesmaximal, complemented
4#42847C212yesmaximal, complemented
5#42654C212yesmaximal, complemented
6#42634C212yesmaximal, complemented
7#42560C212yesmaximal, complemented
8#42446C212yesmaximal, complemented
9#41512C214yesmaximal, complemented
10#40893C214yesmaximal, complemented
11#40073C212yesmaximal, complemented
12#40049C212yesmaximal, complemented
13#39911C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39790C212yesmaximal, complemented
16#39663C212yesmaximal, complemented
17#39605C212yesmaximal, complemented
18#39154C212yesmaximal, complemented
19#38596C214yesmaximal, complemented
20#38545C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35621C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35305C211yesmaximal, characteristic, complemented
28#35289C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31C2×#2492C211yesmaximal, characteristic, complemented
32#34738C211yesmaximal, characteristic
33#34276C211yesmaximal, characteristic, complemented
34#34206C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic, complemented
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48C2×#519C2211yescharacteristic, complemented
49#2862C2212yescomplemented
50#2858C2212yescomplemented
51#2852C2214yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2831C2214yescomplemented
55#2830C2214yescomplemented
56#2827C2214yescomplemented
57#2824C2214yescomplemented
58#2808C2214yescomplemented
59#2806C2214yescomplemented
60#2803C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2788C2214yes—
64#2788C2214yescomplemented
65#2787C2214yescomplemented
66#2786C2214yes—
67#2784C2214yes—
68#2781C2214yescomplemented
69#2780C2214yescomplemented
70#2779C2214yescomplemented
71#2774C2214yescomplemented
72#2768C2214yes—
73#2765C2214yescomplemented
74#2764C2214yescomplemented
75#2759C2214yescomplemented
76#2751C2214yescomplemented
77#2750C2214yescomplemented
78#2749C2214yescomplemented
79#2745C2214yescomplemented
80#2736C2214yes—
81#2735C2214yes—
82#2730C2214yescomplemented
83#2715C2214yescomplemented
84#2710C2214yescomplemented
85#2702C2214yescomplemented
86#2702C2214yescomplemented
87#2696C2214yescomplemented
88#2685C2214yes—
89#2684C2214yes—
90#2666C2214yescomplemented
91#2665C2214yescomplemented
92#2662C2214yescomplemented
93#2653C2214yes—
94#2653C2214yescomplemented
95#2653C2214yescomplemented
96#2652C2214yescomplemented
97#2651C2214yescomplemented
98#2648C2214yescomplemented
99#2643C2214yescomplemented
100#2643C2214yescomplemented
101#2640C2212yescomplemented
102#2640C2212yescomplemented
103#2630C2214yescomplemented
104#2626C2214yes—
105#2616C2212yes—
106#2616C2212yes—
107#2597C2214yescomplemented
108#2589C2214yes—
109#2589C2214yescomplemented
110#2586C2214yescomplemented
111#2579C2214yescomplemented
112#2578C2214yes—
113#2563C2212yescomplemented
114#2563C2212yescomplemented
115#2554C2214yescomplemented
116#2547C2212yescomplemented
117#2547C2212yescomplemented
118#2547C2212yescomplemented
119#2547C2212yescomplemented
120#2546C2212yescomplemented
121#2546C2212yescomplemented
122#2545C2212yescomplemented
123#2545C2212yescomplemented
124#2544C2212yescomplemented
125#2544C2212yescomplemented
126#2538C2212yes—
127#2538C2212yescomplemented
128#2536C2212yes—
129#2536C2212yescomplemented
130#2518C2214yescomplemented
131#2514C2212yescomplemented
132#2513C2212yescomplemented
133#2512C2212yescomplemented
134#2511C2212yescomplemented
135#2505C2214yescomplemented
136#2504C2214yescomplemented
137#2498C2214yescomplemented
138#2498C2214yescomplemented
139#2497C2211yescharacteristic
140#2497C2212yescomplemented
141#2497C2211yescharacteristic, complemented
142#2496C2211yescharacteristic
143#2496C2212yescomplemented
144#2496C2211yescharacteristic, complemented
145#2495C2211yescharacteristic
146#2495C2212yescomplemented
147#2495C2211yescharacteristic, complemented
148#2494C2211yescharacteristic
149#2494C2212yescomplemented
150#2494C2211yescharacteristic, complemented
151#2493C2212yescomplemented
152#2493C2212yescomplemented
153#2492C2212yes—
154#2492C2212yes—
155#2492C2212yes—
156#2492C2212yes—
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2487C2212yes—
162#2486C2212yescomplemented
163#2485C2212yes—
164#2485C2212yescomplemented
165#2480C2214yes—
166#2480C2212yes—
167#2480C2212yes—
168#2472C2214yes—
169#2459C2214yescomplemented
170#2452C2212yescomplemented
171#2452C2212yescomplemented
172#2451C2212yescomplemented
173#2451C2212yescomplemented
174#2450C2214yescomplemented
175#2448C2212yescomplemented
176#2448C2212yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2440C2212yescomplemented
180#2440C2212yescomplemented
181#2439C2212yescomplemented
182#2439C2212yescomplemented
183#2436C2211yescharacteristic
184#2436C2214yescomplemented
185#2435C2212yes—
186#2435C2211yescharacteristic
187#2434C2212yes—
188#2434C2211yescharacteristic
189#2433C2211yescharacteristic
190#2432C2212yes—
191#2432C2211yescharacteristic
192#2432C2212yes—
193#2432C2211yescharacteristic
194#2431C2211yescharacteristic
195#2431C2211yescharacteristic
196#2430C2212yes—
197#2430C2212yes—
198#2429C2212yes—
199#2429C2212yescomplemented
200#2426C2212yes—
201#2426C2212yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2425C2214yescomplemented
206#2423C2212yes—
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2420C2212yes—
214#2419C2214yescomplemented
215#2418C2214yes—
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2413C2214yescomplemented
225#2411C2214yes—
226#2410C2212yes—
227#2410C2212yes—
228#2409C2214yescomplemented
229#2406C2214yes—
230#2405C2214yes—
231#2401C2212yes—
232#2401C2212yescomplemented
233C2×#400C2212yescomplemented
234#2388C2212yes—
235#2388C2212yes—
236C2×#393C2212yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2212yescomplemented
240#2365C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yescomplemented
246#2359C2214yescomplemented
247#2354C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2341C2212yes—
252Q8×C22⋊C4C2212yes—
253#2339C2214yes—
254#2339C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2214yes—
257#2337C2214yescomplemented
258#2334C2214yes—
259#2329C2214yescomplemented
260#2327C2212yescomplemented
261#2326C2212yescomplemented
262#2325C2214yescomplemented
263#2321C2214yes—
264#2317C2211yescharacteristic, complemented
265#2317C2211yescharacteristic, complemented
266#2316C2211yescharacteristic, complemented
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2212yes—
271#2311C2212yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic, complemented
274#2311C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#126C2212yes—
277C4×#126C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#121C2214yescomplemented
280C4×#120C2212yes—
281C4×#120C2212yes—
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2296C2211yescharacteristic, complemented
285#2296C2211yescharacteristic, complemented
286C2×#391C2211yescharacteristic, complemented
287C2×#391C2211yescharacteristic, complemented
288C2×#391C2212yescomplemented
289C2×#388C2212yes—
290#2285C2211yescharacteristic, complemented
291#2280C2211yescharacteristic
292#2280C2212yes—
293#2280C2211yescharacteristic
294C2×#380C2212yes—
295C2×#380C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#536—28no—
317#536—44no—
318#536—44no—
319#532—28no—
320#532—44no—
321C2×C4⋊Q8—44no—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×#127C2311yescharacteristic
332C2×#127C2311yescharacteristic
333C2×#126C2312yes—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345#525—44no—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×C22⋊Q8—44no—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#120C2312yes—
373C2×#120C2312yes—
374C2×#120C2312yes—
375#520—44no—
376#520—44no—
377#520—44no—
378#519—44no—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424#401C2312yes—
425#401C2314yes—
426#401C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2314yes—
530#392C2312yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2312yes—
535#392C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2314yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2314yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2312yes—
563#391C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
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#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#384C2312yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#383C2312yes—
721#383C2312yes—
722#383C2314yes—
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#381C2312yes—
730#381C2314yes—
731#381C2312yes—
732#381C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2314yes—
767#379C2314yes—
768#379C2312yes—
769#379C2314yes—
770#379C2312yes—
771#379C2312yes—
772#379C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—28no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—42no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—464no—
848C2×#41#4118yes—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8—44no—
854C22×Q8—42no—
855C22×Q8—42no—
856C22×Q8—44no—
857C22×Q8—82no—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2414yes—
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×D4—28no—
867C22×D4—24no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C23×C4—28no—
888C23×C4—24no—
889C23×C4—24no—
890C23×C4—24no—
891C23×C4—44no—
892C23×C4—44no—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C4⋊Q8—24no—
917C4⋊Q8—28no—
918C4⋊Q8—44no—
919C4⋊Q8—44no—
920C4⋊Q8—44no—
921C4⋊Q8—44no—
922C4⋊Q8—42no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925#127—24no—
926#127—42no—
927#126—28no—
928#126—44no—
929#126—84no—
930#124—24no—
931#124—24no—
932#124—28no—
933#124—48no—
934#124—42no—
935#124—42no—
936#124—44no—
937#124—44no—
938#124—84no—
939#123—216no—
940#123—44no—
941#123—48no—
942#123—48no—
943#123—84no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—48no—
947C22⋊Q8—44no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—42no—
952C22⋊Q8—42no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—84no—
958#121—28no—
959#121—28no—
960#121—42no—
961#121—42no—
962#121—44no—
963#121—44no—
964#120—28no—
965#120—44no—
966#120—44no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—48no—
986C4×D4—84no—
987#117—24no—
988#117—24no—
989#117—24no—
990#117—24no—
991#117—24no—
992#117—48no—
993#117—44no—
994#117—44no—
995#117—44no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4—84no—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C42—24no—
1131C2×C42—24no—
1132C2×C42—82no—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—22no—
1228C24—24no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—24no—
1233C24—41no—
1234C24—41no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24—41no—
1239C24—42no—
1240C24—42no—
1241C24C2511yescharacteristic
1242C24C2512yes—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2511yescharacteristic
1246C24C2511yescharacteristic
1247#41—232no—
1248#41—432no—
1249#41—432no—
1250#41—416no—
1251#41—416no—
1252#41—416no—
1253#41—416no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—22no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—28no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—44no—
1273C2×Q8—44no—
1274C2×Q8—44no—
1275C2×Q8—44no—
1276C2×Q8—44no—
1277C2×Q8—416no—
1278C2×Q8—416no—
1279C2×Q8—816no—
1280C2×Q8C2×#4114yes—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—432no—
1325C2×D4—416no—
1326C2×D4C2×#4118yes—
1327C2×D4C2×#4114yes—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—432no—
1394C22×C4—416no—
1395C22×C4C2×#4118yes—
1396C22×C4C2×#4114yes—
1397C22×C4H(5,𝔽2)14yes—
1398C22×C4H(5,𝔽2)14yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2514yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—22no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C42−1+414yes—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—44no—
1565C42—44no—
1566C42—42no—
1567C42—44no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42—42no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—48no—
1614C23—48no—
1615C23—44no—
1616C23—82no—
1617C23—82no—
1618C23—82no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23C22×#4114yes—
1625C23C22×#4112yes—
1626C23C2×H(5,𝔽2)12yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23C2×2−1+412yes—
1629C23C2611yescharacteristic
1630Q8—28no—
1631Q8—48no—
1632Q8—48no—
1633Q8—48no—
1634Q8—44no—
1635Q8—44no—
1636Q8—88no—
1637Q8—88no—
1638D4—216no—
1639D4—28no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—44no—
1647D4—44no—
1648D4—84no—
1649D4—84no—
1650D4—84no—
1651D4—84no—
1652D4—84no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—216no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—82no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—164no—
1750C2×C4—164no—
1751C2×C4—164no—
1752C2×C4#538116yes—
1753C2×C4C22×#4114yes—
1754C2×C4C22×#4112yes—
1755C2×C4C22×#4112yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×2−1+412yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4#58512yes—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—24no—
1770C22—22no—
1771C22—24no—
1772C22—22no—
1773C22—24no—
1774C22—22no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—42no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—41no—
1804C22—88no—
1805C22—816no—
1806C22C2×#53814yes—
1807C22C23×#4111yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×2−1+411yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22H(7,𝔽2)11yescharacteristic
1813C222−1+611yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—24no—
1817C4—22no—
1818C4—42no—
1819C4—41no—
1820C4—42no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—44no—
1831C4—41no—
1832C4—44no—
1833C4—42no—
1834C4—41no—
1835C4—41no—
1836C4—42no—
1837C4—42no—
1838C4—44no—
1839C4—42no—
1840C4—41no—
1841C4C2×#53814yes—
1842C4C2×#53814yes—
1843C2—24no—
1844C2—44no—
1845C2—42no—
1846C2—82no—
1847C2—81no—
1848C2—82no—
1849C2C22×#53811yescharacteristic
1850C2#6283511yescharacteristic
1851C2#6287811yescharacteristic
1852C2#6292411yescharacteristic
1853C2#6294211yescharacteristic
1854C2#6300011yescharacteristic
1855C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34738C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42991C2semidirect
2. #42920C2semidirect
3. #42857C2semidirect
4. #42847C2semidirect
5. #42654C2semidirect
6. #42634C2semidirect
7. #42560C2semidirect
8. #42446C2semidirect
9. #41512C2semidirect
10. #40893C2semidirect
11. #40073C2semidirect
12. #40049C2semidirect
13. #39911C2semidirect
14. #39908C2semidirect
15. #39790C2semidirect
16. #39663C2semidirect
17. #39605C2semidirect
18. #39154C2semidirect
19. #38596C2semidirect
20. #38545C2semidirect
21. #35673C2semidirect
22. #35661C2semidirect
23. #35621C2semidirect
24. #35621C2semidirect
25. #35574C2semidirect
26. #35516C2semidirect
27. #35305C2semidirect
28. #35289C2semidirect
29. #35160C2semidirect
30. #34814C2semidirect
31. C2×#2492C2semidirect
33. #34276C2semidirect
34. #34206C2semidirect
35. #34175C2semidirect
39. C2×#536C22semidirect
42. C22×C4⋊Q8C22semidirect
47. C2×#520C22semidirect
48. C2×#519C22semidirect
49. #2862C22semidirect
50. #2858C22semidirect
51. #2852C22semidirect
54. #2831C22semidirect
55. #2830C22semidirect
56. #2827C22semidirect
57. #2824C22semidirect
58. #2808C22semidirect
59. #2806C22semidirect
60. #2803C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
64. #2788C22semidirect
65. #2787C22semidirect
68. #2781C22semidirect
69. #2780C22semidirect
70. #2779C22semidirect
71. #2774C22semidirect
73. #2765C22semidirect
74. #2764C22semidirect
75. #2759C22semidirect
76. #2751C22semidirect
77. #2750C22semidirect
78. #2749C22semidirect
79. #2745C22semidirect
82. #2730C22semidirect
83. #2715C22semidirect
84. #2710C22semidirect
85. #2702C22semidirect
86. #2702C22semidirect
87. #2696C22semidirect
90. #2666C22semidirect
91. #2665C22semidirect
92. #2662C22semidirect
94. #2653C22semidirect
95. #2653C22semidirect
96. #2652C22semidirect
97. #2651C22semidirect
98. #2648C22semidirect
99. #2643C22semidirect
100. #2643C22semidirect
101. #2640C22semidirect
102. #2640C22semidirect
103. #2630C22semidirect
107. #2597C22semidirect
109. #2589C22semidirect
110. #2586C22semidirect
111. #2579C22semidirect
113. #2563C22semidirect
114. #2563C22semidirect
115. #2554C22semidirect
116. #2547C22semidirect
117. #2547C22semidirect
118. #2547C22semidirect
119. #2547C22semidirect
120. #2546C22semidirect
121. #2546C22semidirect
122. #2545C22semidirect
123. #2545C22semidirect
124. #2544C22semidirect
125. #2544C22semidirect
127. #2538C22semidirect
129. #2536C22semidirect
130. #2518C22semidirect
131. #2514C22semidirect
132. #2513C22semidirect
133. #2512C22semidirect
134. #2511C22semidirect
135. #2505C22semidirect
136. #2504C22semidirect
137. #2498C22semidirect
138. #2498C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2493C22semidirect
152. #2493C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
162. #2486C22semidirect
164. #2485C22semidirect
169. #2459C22semidirect
170. #2452C22semidirect
171. #2452C22semidirect
172. #2451C22semidirect
173. #2451C22semidirect
174. #2450C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
179. #2440C22semidirect
180. #2440C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
184. #2436C22semidirect
199. #2429C22semidirect
201. #2426C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
205. #2425C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
214. #2419C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2413C22semidirect
228. #2409C22semidirect
232. #2401C22semidirect
233. C2×#400C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2365C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2359C22semidirect
246. #2359C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. D4×C4⋊C4C22semidirect
257. #2337C22semidirect
259. #2329C22semidirect
260. #2327C22semidirect
261. #2326C22semidirect
262. #2325C22semidirect
264. #2317C22semidirect
265. #2317C22semidirect
266. #2316C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#126C22semidirect
278. C4×#124C22semidirect
279. C4×#121C22semidirect
284. #2296C22semidirect
285. #2296C22semidirect
286. C2×#391C22semidirect
287. C2×#391C22semidirect
288. C2×#391C22semidirect
290. #2285C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429912
#429202
#428572
#428472
#426542
#426342
#425602
#424462
#415122
#408932
#400732
#400492
#399112
#399082
#397902
#396632
#396052
#391542
#385962
#385452
#356732
#356612
#356212
#355742
#355162
#353052
#352892
#351602
#348142
C2×#24922
#347382
#342762
#342062
#341752