Finite Group Databasebeta

← #7709168

Subgroups — #7709168

Order 512.

5304 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59663C212yesmaximal, complemented
2#59424C212yesmaximal, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59079C211yesmaximal, characteristic, complemented
6#59065C211yesmaximal, characteristic, complemented
7#45728C214yesmaximal, complemented
8#45664C212yesmaximal, complemented
9#45617C212yesmaximal, complemented
10#40453C214yesmaximal, complemented
11#40093C212yesmaximal, complemented
12#40069C212yesmaximal, complemented
13#40004C212yesmaximal, complemented
14#39959C212yesmaximal, complemented
15#39727C211yesmaximal, characteristic, complemented
16#39598C211yesmaximal, characteristic, complemented
17#39479C211yesmaximal, characteristic, complemented
18#39350C211yesmaximal, characteristic, complemented
19#38579C214yesmaximal, complemented
20#37850C212yesmaximal, complemented
21#37664C212yesmaximal
22#37524C212yesmaximal, complemented
23#36952C214yesmaximal, complemented
24#36625C211yesmaximal, characteristic, complemented
25#36625C211yesmaximal, characteristic, complemented
26#36564C211yesmaximal, characteristic, complemented
27#36552C211yesmaximal, characteristic, complemented
28#36161C212yesmaximal, complemented
29#36161C211yesmaximal, characteristic, complemented
30#36156C212yesmaximal, complemented
31#36154C211yesmaximal, characteristic, complemented
32#35086C212yesmaximal, complemented
33#35079C212yesmaximal, complemented
34#34419C212yesmaximal, complemented
35C2×C4×#121C211yesmaximal, characteristic
36C2×#556C2212yescomplemented
37C2×#556C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic, complemented
39C2×#552C2212yescomplemented
40C2×#542C2212yes—
41C2×#533C2211yescharacteristic, complemented
42C2×#533C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2212yes—
46C23×C42C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2857C2211yescharacteristic, complemented
54#2857C2211yescharacteristic, complemented
55#2857C2211yescharacteristic, complemented
56#2855C2212yescomplemented
57#2855C2211yescharacteristic, complemented
58#2855C2212yescomplemented
59#2855C2211yescharacteristic, complemented
60#2855C2212yescomplemented
61#2851C2212yes—
62#2851C2212yes—
63#2851C2212yes—
64#2851C2212yescomplemented
65#2851C2212yescomplemented
66#2848C2212yes—
67#2848C2212yes—
68#2848C2212yes—
69#2848C2211yescharacteristic
70#2848C2211yescharacteristic
71#2848C2212yes—
72#2848C2212yes—
73#2827C2214yescomplemented
74#2827C2214yescomplemented
75#2802C2214yescomplemented
76#2786C2214yescomplemented
77#2772C2214yescomplemented
78#2755C2214yescomplemented
79#2754C2214yescomplemented
80#2754C2214yescomplemented
81#2747C2214yescomplemented
82#2747C2214yescomplemented
83#2744C2214yescomplemented
84#2740C2214yescomplemented
85#2739C2214yescomplemented
86#2739C2214yescomplemented
87#2728C2214yescomplemented
88#2728C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2722C2214yescomplemented
93#2717C2214yescomplemented
94#2715C2214yescomplemented
95#2715C2214yescomplemented
96#2704C2214yescomplemented
97#2702C2214yescomplemented
98#2702C2214yescomplemented
99#2701C2214yes—
100#2698C2214yescomplemented
101#2695C2214yescomplemented
102#2695C2214yescomplemented
103#2691C2214yes—
104#2686C2214yes—
105#2683C2214yescomplemented
106#2672C2214yes—
107#2667C2214yescomplemented
108#2665C2214yescomplemented
109#2664C2214yescomplemented
110#2654C2214yescomplemented
111#2652C2214yescomplemented
112#2652C2214yescomplemented
113#2629C2212yescomplemented
114#2625C2212yescomplemented
115#2624C2212yes—
116#2620C2212yes—
117#2601C2214yescomplemented
118#2592C2212yescomplemented
119#2590C2214yescomplemented
120#2588C2214yescomplemented
121#2586C2214yescomplemented
122#2584C2214yescomplemented
123#2584C2212yescomplemented
124#2582C2212yescomplemented
125#2569C2214yes—
126#2568C2211yescharacteristic, complemented
127#2567C2211yescharacteristic, complemented
128#2563C2211yescharacteristic, complemented
129#2562C2212yescomplemented
130#2560C2214yescomplemented
131#2552C2211yescharacteristic, complemented
132#2551C2211yescharacteristic, complemented
133#2549C2214yes—
134#2549C2214yes—
135#2547C2212yescomplemented
136#2547C2211yescharacteristic, complemented
137#2538C2212yescomplemented
138#2538C2211yescharacteristic, complemented
139#2538C2212yescomplemented
140#2538C2211yescharacteristic, complemented
141#2536C2212yescomplemented
142#2512C2212yescomplemented
143#2512C2212yescomplemented
144#2511C2212yescomplemented
145#2509C2212yescomplemented
146#2508C2212yescomplemented
147#2507C2212yescomplemented
148#2507C2212yescomplemented
149#2506C2212yescomplemented
150#2505C2214yes—
151#2505C2214yes—
152#2505C2214yes—
153#2502C2212yes—
154#2496C2212yescomplemented
155#2496C2212yescomplemented
156#2496C2212yescomplemented
157#2496C2212yescomplemented
158#2491C2212yes—
159#2489C2212yescomplemented
160#2489C2212yescomplemented
161#2489C2212yescomplemented
162#2487C2212yescomplemented
163#2486C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2485C2212yescomplemented
168#2480C2214yes—
169#2480C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2480C2214yes—
173#2480C2214yes—
174#2475C2214yescomplemented
175#2473C2214yes—
176#2469C2214yescomplemented
177#2469C2214yescomplemented
178#2468C2214yescomplemented
179#2466C2214yescomplemented
180#2466C2214yescomplemented
181#2466C2214yescomplemented
182#2460C2214yescomplemented
183#2454C2212yescomplemented
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2451C2212yescomplemented
187#2451C2212yescomplemented
188#2450C2214yescomplemented
189#2448C2212yescomplemented
190#2447C2212yescomplemented
191#2447C2214yescomplemented
192#2447C2212yescomplemented
193#2442C2212yes—
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2440C2212yes—
199#2440C2212yescomplemented
200#2440C2212yescomplemented
201#2439C2212yescomplemented
202#2439C2212yescomplemented
203#2437C2214yes—
204#2437C2214yes—
205#2437C2214yes—
206#2435C2212yes—
207#2435C2214yes—
208#2429C2212yescomplemented
209#2429C2212yescomplemented
210#2427C2212yes—
211#2426C2212yes—
212#2422C2212yes—
213#2421C2214yescomplemented
214#2421C2212yescomplemented
215#2421C2212yescomplemented
216#2421C2212yescomplemented
217#2419C2214yescomplemented
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2405C2214yes—
225#2379C2214yescomplemented
226#2376C2214yescomplemented
227#2369C2211yescharacteristic, complemented
228#2369C2212yescomplemented
229#2367C2214yescomplemented
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2365C2212yescomplemented
233#2365C2211yescharacteristic, complemented
234#2360C2212yes—
235#2360C2214yes—
236#2360C2212yes—
237#2359C2214yescomplemented
238#2355C2212yescomplemented
239#2354C2212yescomplemented
240#2354C2211yescharacteristic, complemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2351C2212yescomplemented
244Q8×C4⋊C4C2211yescharacteristic, complemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246#2349C2212yescomplemented
247D4×C4⋊C4C2211yescharacteristic, complemented
248#2345C2212yes—
249#2342C2214yes—
250D4×C22⋊C4C2212yes—
251#2334C2214yescomplemented
252#2334C2214yescomplemented
253#2334C2214yescomplemented
254#2329C2214yescomplemented
255#2329C2214yescomplemented
256#2324C2212yes—
257#2323C2214yescomplemented
258#2323C2212yescomplemented
259#2314C2212yescomplemented
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yescomplemented
268C4×C22⋊Q8C2211yescharacteristic, complemented
269C4×C22⋊Q8C2212yescomplemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2212yescomplemented
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2296C2212yescomplemented
285#2296C2212yescomplemented
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#388C2212yes—
289C2×#386C2212yes—
290#2285C2211yescharacteristic, complemented
291#2285C2211yescharacteristic, complemented
292#2280C2212yes—
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304C24×C4C2311yescharacteristic
305#556—48no—
306#556—44no—
307#554—44no—
308#552—48no—
309#542—216no—
310#533—44no—
311#533—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121—28no—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4—44no—
376C2×C4×D4—48no—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C42—44no—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
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#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#379C2312yes—
767#379C2314yes—
768#379C2312yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C25C2411yescharacteristic
822C25C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—28no—
847C23×C4—42no—
848C23×C4—42no—
849C23×C4—42no—
850C23×C4—42no—
851C23×C4—44no—
852C23×C4—44no—
853C23×C4—42no—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C4⋊Q8—28no—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886C4⋊Q8—42no—
887#126—216no—
888#126—48no—
889#126—48no—
890#126—48no—
891#126—48no—
892#126—48no—
893#125—44no—
894#125—44no—
895#125—44no—
896#125—48no—
897#125—44no—
898#124—28no—
899#124—216no—
900#124—44no—
901#124—48no—
902#123—216no—
903#123—48no—
904C22⋊Q8—28no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—28no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—216no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—42no—
920C22⋊Q8—42no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927#121—24no—
928#121—28no—
929#121—24no—
930#121—24no—
931#121—28no—
932#121#4118yes—
933C4×Q8—28no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—48no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959#117—28no—
960#117—28no—
961#117—44no—
962#117—48no—
963#117—44no—
964#117—44no—
965#117—44no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—28no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—44no—
1048C2×C22⋊C4—44no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—24no—
1106C2×C42—44no—
1107C2×C42—42no—
1108C2×C42—42no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—42no—
1113C2×C42—42no—
1114C2×C42—42no—
1115C2×C42—42no—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2414yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—24no—
1216C24—22no—
1217C24—22no—
1218C24—24no—
1219C24—24no—
1220C24—24no—
1221C24—41no—
1222C24—41no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24C2512yes—
1227C24C2512yes—
1228C24C2511yescharacteristic
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231C2×Q8—24no—
1232C2×Q8—28no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—42no—
1244C2×Q8—44no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—416no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—432no—
1270C2×D4C2×#4114yes—
1271C2×D4C2×#4118yes—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—416no—
1337C22×C4—416no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—416no—
1352C22×C4—816no—
1353C22×C4C2×#4114yes—
1354C22×C4H(5,𝔽2)14yes—
1355C22×C42−1+414yes—
1356C22×C42−1+414yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—28no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4C2×#4114yes—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4C2×#4118yes—
1512C42—24no—
1513C42—24no—
1514C42—28no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—24no—
1526C42—28no—
1527C42—24no—
1528C42—24no—
1529C42—41no—
1530C42—41no—
1531C42—41no—
1532C42—41no—
1533C42—41no—
1534C42—41no—
1535C42—42no—
1536C42—42no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42H(5,𝔽2)14yes—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—28no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—48no—
1579C23—48no—
1580C23—48no—
1581C23—44no—
1582C23—44no—
1583C23—48no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23C22×#4112yes—
1588C23C22×#4114yes—
1589C23C2×H(5,𝔽2)12yes—
1590C23C2×2−1+412yes—
1591C23C2×2−1+412yes—
1592C23#58512yes—
1593C23C2611yescharacteristic
1594Q8—48no—
1595Q8—44no—
1596Q8—44no—
1597Q8—88no—
1598Q8—84no—
1599Q8—84no—
1600D4—28no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—28no—
1624C2×C4—28no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—164no—
1711C2×C4C22×#4114yes—
1712C2×C4C22×#4112yes—
1713C2×C4C22×#4112yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4C2×2−1+412yes—
1723C2×C4#58512yes—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—24no—
1738C22—22no—
1739C22—416no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—816no—
1760C22#355514yes—
1761C22C23×#4111yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×2−1+411yescharacteristic
1765C22C22×2−1+411yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—41no—
1781C4—44no—
1782C4—42no—
1783C4—42no—
1784C4—44no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—42no—
1791C4—44no—
1792C4—42no—
1793C4—44no—
1794C4—42no—
1795C4—42no—
1796C4#352014yes—
1797C4#353614yes—
1798C2—24no—
1799C2—42no—
1800C2—42no—
1801C2—44no—
1802C2—82no—
1803C2C2×#353611yescharacteristic
1804C2C2×#355511yescharacteristic
1805C2C2×#352011yescharacteristic
1806C2#6277311yescharacteristic
1807C2#6280511yescharacteristic
1808C2#6282111yescharacteristic
1809C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59663C2semidirect
2. #59424C2semidirect
3. #59258C2semidirect
4. #59244C2semidirect
5. #59079C2semidirect
6. #59065C2semidirect
7. #45728C2semidirect
8. #45664C2semidirect
9. #45617C2semidirect
10. #40453C2semidirect
11. #40093C2semidirect
12. #40069C2semidirect
13. #40004C2semidirect
14. #39959C2semidirect
15. #39727C2semidirect
16. #39598C2semidirect
17. #39479C2semidirect
18. #39350C2semidirect
19. #38579C2semidirect
20. #37850C2semidirect
22. #37524C2semidirect
23. #36952C2semidirect
24. #36625C2semidirect
25. #36625C2semidirect
26. #36564C2semidirect
27. #36552C2semidirect
28. #36161C2semidirect
29. #36161C2semidirect
30. #36156C2semidirect
31. #36154C2semidirect
32. #35086C2semidirect
33. #35079C2semidirect
34. #34419C2semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
39. C2×#552C22semidirect
41. C2×#533C22semidirect
42. C2×#533C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
56. #2855C22semidirect
57. #2855C22semidirect
58. #2855C22semidirect
59. #2855C22semidirect
60. #2855C22semidirect
64. #2851C22semidirect
65. #2851C22semidirect
73. #2827C22semidirect
74. #2827C22semidirect
75. #2802C22semidirect
76. #2786C22semidirect
77. #2772C22semidirect
78. #2755C22semidirect
79. #2754C22semidirect
80. #2754C22semidirect
81. #2747C22semidirect
82. #2747C22semidirect
83. #2744C22semidirect
84. #2740C22semidirect
85. #2739C22semidirect
86. #2739C22semidirect
87. #2728C22semidirect
88. #2728C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2722C22semidirect
93. #2717C22semidirect
94. #2715C22semidirect
95. #2715C22semidirect
96. #2704C22semidirect
97. #2702C22semidirect
98. #2702C22semidirect
100. #2698C22semidirect
101. #2695C22semidirect
102. #2695C22semidirect
105. #2683C22semidirect
107. #2667C22semidirect
108. #2665C22semidirect
109. #2664C22semidirect
110. #2654C22semidirect
111. #2652C22semidirect
112. #2652C22semidirect
113. #2629C22semidirect
114. #2625C22semidirect
117. #2601C22semidirect
118. #2592C22semidirect
119. #2590C22semidirect
120. #2588C22semidirect
121. #2586C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
124. #2582C22semidirect
126. #2568C22semidirect
127. #2567C22semidirect
128. #2563C22semidirect
129. #2562C22semidirect
130. #2560C22semidirect
131. #2552C22semidirect
132. #2551C22semidirect
135. #2547C22semidirect
136. #2547C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
141. #2536C22semidirect
142. #2512C22semidirect
143. #2512C22semidirect
144. #2511C22semidirect
145. #2509C22semidirect
146. #2508C22semidirect
147. #2507C22semidirect
148. #2507C22semidirect
149. #2506C22semidirect
154. #2496C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2496C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
161. #2489C22semidirect
162. #2487C22semidirect
163. #2486C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
167. #2485C22semidirect
174. #2475C22semidirect
176. #2469C22semidirect
177. #2469C22semidirect
178. #2468C22semidirect
179. #2466C22semidirect
180. #2466C22semidirect
181. #2466C22semidirect
182. #2460C22semidirect
183. #2454C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2450C22semidirect
189. #2448C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
213. #2421C22semidirect
214. #2421C22semidirect
215. #2421C22semidirect
216. #2421C22semidirect
217. #2419C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
225. #2379C22semidirect
226. #2376C22semidirect
227. #2369C22semidirect
228. #2369C22semidirect
229. #2367C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
232. #2365C22semidirect
233. #2365C22semidirect
237. #2359C22semidirect
238. #2355C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2351C22semidirect
244. Q8×C4⋊C4C22semidirect
245. Q8×C4⋊C4C22semidirect
246. #2349C22semidirect
247. D4×C4⋊C4C22semidirect
251. #2334C22semidirect
252. #2334C22semidirect
253. #2334C22semidirect
254. #2329C22semidirect
255. #2329C22semidirect
257. #2323C22semidirect
258. #2323C22semidirect
259. #2314C22semidirect
267. C4×C22⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
284. #2296C22semidirect
285. #2296C22semidirect
290. #2285C22semidirect
291. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596632
#594242
#592582
#592442
#590792
#590652
#457282
#456642
#456172
#404532
#400932
#400692
#400042
#399592
#397272
#395982
#394792
#393502
#385792
#378502
#376642
#375242
#369522
#366252
#365642
#365522
#361612
#361562
#361542
#350862
#350792
#344192
C2×C4×#1212