Finite Group Databasebeta

← #7682868

Subgroups — #7682868

Order 512.

6826 conjugacy classes of subgroups.

The subgroup lattice has 1801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3503C211yesmaximal, characteristic, complemented
3#59831C214yesmaximal, complemented
4#59809C214yesmaximal, complemented
5#59155C212yesmaximal, complemented
6#59154C212yesmaximal, complemented
7#59153C212yesmaximal, complemented
8#59152C212yesmaximal, complemented
9#59144C212yesmaximal, complemented
10#59136C212yesmaximal, complemented
11#59081C212yesmaximal, complemented
12#59036C212yesmaximal, complemented
13#45274C212yesmaximal, complemented
14#45274C212yesmaximal, complemented
15#45110C212yesmaximal, complemented
16#45099C212yesmaximal, complemented
17#44939C212yesmaximal, complemented
18#44939C212yesmaximal, complemented
19#44894C212yesmaximal, complemented
20#44879C212yesmaximal, complemented
21#43529C214yesmaximal, complemented
22#43100C214yesmaximal, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35620C211yesmaximal, characteristic, complemented
25#35620C211yesmaximal, characteristic, complemented
26#35574C211yesmaximal, characteristic, complemented
27#35566C211yesmaximal, characteristic, complemented
28#35566C211yesmaximal, characteristic, complemented
29C2×#2550C211yesmaximal, characteristic, complemented
30#34745C211yesmaximal, characteristic, complemented
31#34745C211yesmaximal, characteristic, complemented
32#34274C211yesmaximal, characteristic
33#34271C211yesmaximal, characteristic, complemented
34#34267C211yesmaximal, characteristic
35#34267C211yesmaximal, characteristic
36#3504—216no—
37#3503—216no—
38C2×Q82C2212yes—
39C2×#557C2212yes—
40C2×#557C2212yes—
41C2×#557C2212yes—
42C2×#554C2212yes—
43C2×#554C2214yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2214yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2214yes—
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#544C2212yes—
53C2×#544C2212yes—
54C2×#544C2212yes—
55C2×#544C2212yes—
56C2×#544C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#533C2212yes—
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C22×C4⋊Q8C2212yes—
63C22×C4⋊Q8C2211yescharacteristic
64C22×#125C2212yes—
65C22×#125C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72#2734C2214yes—
73#2732C2214yes—
74#2729C2214yes—
75#2729C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2726C2214yes—
79#2720C2214yes—
80#2720C2214yes—
81#2713C2214yes—
82#2713C2214yes—
83#2713C2214yes—
84#2713C2214yes—
85#2704C2214yes—
86#2704C2214yes—
87#2704C2214yes—
88#2704C2214yes—
89#2692C2214yes—
90#2692C2214yes—
91#2692C2214yes—
92#2692C2214yes—
93#2683C2214yes—
94#2677C2214yes—
95#2677C2214yes—
96#2584C2212yes—
97#2584C2212yes—
98#2584C2212yes—
99#2584C2212yes—
100#2579C2214yes—
101#2579C2214yes—
102#2568C2212yes—
103#2568C2212yes—
104#2567C2212yes—
105#2567C2212yes—
106#2566C2212yes—
107#2566C2212yes—
108#2565C2212yes—
109#2565C2212yes—
110#2563C2212yes—
111#2563C2212yes—
112#2556C2214yes—
113#2556C2214yes—
114#2552C2212yes—
115#2552C2212yes—
116#2551C2212yes—
117#2551C2212yes—
118#2550C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2550C2212yes—
125#2550C2212yes—
126#2550C2212yes—
127#2550C2212yes—
128#2550C2212yes—
129#2550C2212yes—
130#2549C2214yes—
131#2549C2214yes—
132#2546C2214yes—
133#2546C2212yes—
134#2546C2212yes—
135#2538C2214yes—
136#2506C2214yes—
137#2506C2214yes—
138#2492C2214yes—
139#2492C2214yes—
140#2492C2214yes—
141#2487C2214yes—
142#2473C2214yes—
143#2473C2214yes—
144#2473C2214yes—
145#2473C2214yes—
146#2465C2214yes—
147#2465C2214yes—
148#2465C2214yes—
149#2465C2214yes—
150#2462C2214yes—
151#2462C2214yes—
152#2454C2211yescharacteristic
153#2454C2212yes—
154#2454C2211yescharacteristic
155#2454C2212yes—
156#2454C2211yescharacteristic
157#2454C2211yescharacteristic
158#2453C2211yescharacteristic
159#2453C2212yes—
160#2453C2211yescharacteristic
161#2453C2212yes—
162#2453C2211yescharacteristic
163#2453C2211yescharacteristic
164#2452C2211yescharacteristic
165#2452C2212yes—
166#2452C2211yescharacteristic
167#2452C2214yes—
168#2452C2212yes—
169#2452C2211yescharacteristic
170#2452C2214yes—
171#2452C2211yescharacteristic
172#2451C2211yescharacteristic
173#2451C2212yes—
174#2451C2211yescharacteristic
175#2451C2214yes—
176#2451C2212yes—
177#2451C2214yes—
178#2451C2211yescharacteristic
179#2451C2211yescharacteristic
180#2450C2214yes—
181#2450C2214yes—
182#2450C2214yes—
183#2450C2214yes—
184#2450C2212yes—
185#2450C2212yes—
186#2450C2212yes—
187#2450C2212yes—
188#2449C2212yes—
189#2449C2212yes—
190#2449C2214yes—
191#2449C2214yes—
192#2449C2212yes—
193#2449C2212yes—
194#2446C2214yes—
195#2446C2214yes—
196#2442C2212yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2442C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2440C2214yes—
205#2440C2214yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2214yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2212yes—
215#2434C2214yes—
216#2429C2214yes—
217#2429C2214yes—
218#2423C2214yes—
219#2417C2214yes—
220#2417C2214yes—
221#2409C2214yes—
222#2409C2214yes—
223#2409C2214yes—
224#2396C2212yes—
225#2396C2212yes—
226#2396C2212yes—
227#2396C2212yes—
228C2×#398C2212yes—
229C2×#395C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2370C2212yes—
233#2370C2212yes—
234#2369C2212yes—
235#2369C2212yes—
236#2365C2212yes—
237#2365C2214yes—
238#2365C2212yes—
239#2364C2214yes—
240#2364C2214yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2362C2212yes—
246#2362C2212yes—
247#2362C2212yes—
248#2362C2212yes—
249#2361C2212yes—
250#2361C2212yes—
251#2361C2214yes—
252#2361C2212yes—
253#2361C2212yes—
254#2361C2214yes—
255#2360C2212yes—
256#2360C2212yes—
257#2360C2214yes—
258#2360C2212yes—
259#2360C2212yes—
260D4×C4⋊C4C2214yes—
261Q8×C22⋊C4C2214yes—
262#2329C2214yes—
263#2325C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2214yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2214yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292C2×#391C2212yes—
293C2×#389C2212yes—
294C2×#389C2211yescharacteristic
295C2×#389C2211yescharacteristic
296C2×#382C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2314yes—
304C23×Q8C2312yes—
305Q82—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#554—216no—
310#554—216no—
311#554—216no—
312#554—232no—
313#554—232no—
314#554—232no—
315D4×Q8—216no—
316D4×Q8—232no—
317#544—216no—
318#544—216no—
319#544—216no—
320#544—216no—
321#544—28no—
322#544—28no—
323#544D4116yescomplemented
324#537Q8116yescomplemented
325#533—216no—
326#533—216no—
327#533—28no—
328#533—28no—
329C2×C4⋊Q8—216no—
330C2×C4⋊Q8—28no—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×#125—216no—
354C2×#125—28no—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405#520—28no—
406#520—28no—
407#520—28no—
408#520—28no—
409C4×#41—28no—
410C4×#41—28no—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2314yes—
464C22×C4⋊C4C2314yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2314yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C42C2311yescharacteristic
478C22×C42C2312yes—
479C22×C42C2311yescharacteristic
480C22×C42C2312yes—
481C22×C42C2311yescharacteristic
482C22×C42C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2314yes—
492#400C2314yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2314yes—
498#399C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2312yes—
536#396C2312yes—
537#396C2312yes—
538#396C2312yes—
539#396C2312yes—
540#396C2312yes—
541#396C2312yes—
542#396C2312yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2312yes—
556#395C2312yes—
557#395C2312yes—
558#395C2312yes—
559#395C2314yes—
560#395C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2312yes—
566#393C2312yes—
567#393C2312yes—
568#393C2312yes—
569#393C2314yes—
570#393C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2314yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2314yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2314yes—
586#391C2314yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#391C2314yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2311yescharacteristic
669#389C2314yes—
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#384C2312yes—
764#384C2312yes—
765#384C2314yes—
766#384C2314yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C2×#95C2312yes—
840C2×#95C2312yes—
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C2×#95C2311yescharacteristic
845C2×#95C2312yes—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41C2×Q818yes—
851C2×#41C2×Q818yescomplemented
852C22×Q8—216no—
853C22×Q8—28no—
854C22×Q8—44no—
855C22×Q8—48no—
856C22×Q8—82no—
857C22×Q8—84no—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2414yes—
867C22×Q8C2414yes—
868C22×Q8C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2414yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C4⋊Q8—216no—
896C4⋊Q8—216no—
897C4⋊Q8—216no—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—216no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—216no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—216no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—48no—
914C4⋊Q8—84no—
915C4⋊Q8C2×D4116yes—
916C4⋊Q8C2×D4116yes—
917#125—24no—
918#125—28no—
919#125—28no—
920#125—216no—
921#125—216no—
922#125—28no—
923#125—28no—
924#125—24no—
925#125—24no—
926#125—24no—
927#125—216no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—216no—
933#125—28no—
934#125—28no—
935#125C2×D4116yes—
936#125C2×D4116yes—
937C22⋊Q8—216no—
938C22⋊Q8—216no—
939C22⋊Q8—216no—
940C22⋊Q8—216no—
941C22⋊Q8—216no—
942C22⋊Q8—216no—
943C22⋊Q8—216no—
944C22⋊Q8—216no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—48no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—84no—
961C22⋊Q8C2×D4132yes—
962C22⋊Q8C2×Q8116yescomplemented
963C22⋊Q8C2×Q8116yescomplemented
964#121C2×Q8116yescomplemented
965#121C2×Q8116yescomplemented
966#121C2×Q8132yescomplemented
967C4×Q8—216no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—24no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—216no—
975C4×Q8—216no—
976C4×Q8—216no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—84no—
984C4×D4—216no—
985C4×D4—216no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—216no—
997C4×D4—216no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—48no—
1001C4×D4—84no—
1002C4×D4—84no—
1003#117—24no—
1004#117—24no—
1005#117—24no—
1006#117—24no—
1007#117—28no—
1008#117—28no—
1009#117—28no—
1010#117—28no—
1011#117—28no—
1012#117—28no—
1013#117C2×D418yes—
1014#117C2×D418yes—
1015C2×C4⋊C4—24no—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—28no—
1018C2×C4⋊C4—28no—
1019C2×C4⋊C4—28no—
1020C2×C4⋊C4—28no—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—216no—
1025C2×C4⋊C4—216no—
1026C2×C4⋊C4—216no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4—82no—
1031C2×C4⋊C4C2×D418yes—
1032C2×C4⋊C4C2×Q818yescomplemented
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—28no—
1165C2×C42—28no—
1166C2×C42—82no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2414yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2414yes—
1208#95C2414yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265C24C2512yes—
1266C24C2512yes—
1267C24C2511yescharacteristic
1268#41—232no—
1269#41—232no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—28no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—28no—
1277C2×Q8—24no—
1278C2×Q8—28no—
1279C2×Q8—28no—
1280C2×Q8—22no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—28no—
1284C2×Q8—24no—
1285C2×Q8—44no—
1286C2×Q8—44no—
1287C2×Q8—44no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—42no—
1291C2×Q8—42no—
1292C2×Q8—44no—
1293C2×Q8—44no—
1294C2×Q8—42no—
1295C2×Q8—44no—
1296C2×Q8—44no—
1297C2×Q8—44no—
1298C2×Q8—42no—
1299C2×Q8—44no—
1300C2×Q8—816no—
1301C2×Q8—832no—
1302C2×Q8C22×D4116yes—
1303C2×Q8C22×Q814yes—
1304C2×Q8C22×Q814yes—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4C22×Q818yes—
1316C2×D4C22×Q814yes—
1317C2×D4C22×Q818yes—
1318C2×D4C22×Q814yes—
1319C2×D4C22×Q8116yes—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—28no—
1341C22×C4—28no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4C22×D418yes—
1377C22×C4C22×D414yes—
1378C22×C4C22×Q818yes—
1379C22×C4C22×Q818yes—
1380C22×C4C22×Q818yes—
1381C22×C4C22×Q814yes—
1382C22×C42−1+414yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2514yes—
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—28no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—44no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4C22×D414yes—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D4116yes—
1498C4⋊C4C22×D418yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D4116yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D414yes—
1503C4⋊C4C22×D4116yes—
1504C4⋊C4C22×Q818yes—
1505C4⋊C4C22×Q818yes—
1506C4⋊C4C22×Q8116yes—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4C22×D418yes—
1540C22⋊C4C22×D418yes—
1541C22⋊C4C22×Q8116yes—
1542C22⋊C4C22×Q8116yes—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—24no—
1552C42—24no—
1553C42—22no—
1554C42—22no—
1555C42—28no—
1556C42—28no—
1557C42—28no—
1558C42—28no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—24no—
1567C42—44no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42—44no—
1573C42C22×D418yes—
1574C42C22×D418yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23C23×D412yes—
1592C23C23×Q814yes—
1593C23C23×Q814yes—
1594C23C23×Q812yes—
1595C23C2×2−1+412yes—
1596C23C2611yescharacteristic
1597Q8—28no—
1598Q8—28no—
1599Q8—416no—
1600Q8—48no—
1601Q8—416no—
1602Q8—48no—
1603Q8—84no—
1604Q8—84no—
1605Q8—88no—
1606Q8—88no—
1607Q8—88no—
1608D4—216no—
1609D4—216no—
1610D4—28no—
1611D4—28no—
1612D4—416no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—216no—
1634C2×C4—216no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—88no—
1704C2×C4—84no—
1705C2×C4—88no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—88no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4D4×Q8116yes—
1714C2×C4C23×D414yes—
1715C2×C4C23×D414yes—
1716C2×C4C23×D418yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D412yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×Q818yes—
1722C2×C4C23×Q814yes—
1723C2×C4C23×Q814yes—
1724C2×C4C23×Q812yes—
1725C2×C4C23×Q812yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4#58512yes—
1729C2×C4#58512yes—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—24no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22C2×D4×Q814yes—
1751C22C24×D411yescharacteristic
1752C22C24×Q811yescharacteristic
1753C22C22×2−1+411yescharacteristic
1754C22C2×#58511yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22H(7,𝔽2)11yescharacteristic
1757C222−1+611yescharacteristic
1758C4—22no—
1759C4—28no—
1760C4—24no—
1761C4—24no—
1762C4—28no—
1763C4—22no—
1764C4—24no—
1765C4—24no—
1766C4—24no—
1767C4—24no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—44no—
1772C4—42no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—44no—
1777C4—41no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—41no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4C2×D4×Q814yes—
1789C4C2×D4×Q814yes—
1790C2—24no—
1791C2—44no—
1792C2—44no—
1793C2C22×D4×Q811yescharacteristic
1794C2#6283811yescharacteristic
1795C2#6287711yescharacteristic
1796C2#6298711yescharacteristic
1797C2#6298911yescharacteristic
1798C2#6300211yescharacteristic
1799C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3504C2semidirect
2. C2×#3503C2semidirect
3. #59831C2semidirect
4. #59809C2semidirect
5. #59155C2semidirect
6. #59154C2semidirect
7. #59153C2semidirect
8. #59152C2semidirect
9. #59144C2semidirect
10. #59136C2semidirect
11. #59081C2semidirect
12. #59036C2semidirect
13. #45274C2semidirect
14. #45274C2semidirect
15. #45110C2semidirect
16. #45099C2semidirect
17. #44939C2semidirect
18. #44939C2semidirect
19. #44894C2semidirect
20. #44879C2semidirect
21. #43529C2semidirect
22. #43100C2semidirect
23. #35639C2semidirect
24. #35620C2semidirect
25. #35620C2semidirect
26. #35574C2semidirect
27. #35566C2semidirect
28. #35566C2semidirect
29. C2×#2550C2semidirect
30. #34745C2semidirect
31. #34745C2semidirect
33. #34271C2semidirect
323. #544D4semidirect
324. #537Q8semidirect
851. C2×#41C2×Q8semidirect
962. C22⋊Q8C2×Q8semidirect
963. C22⋊Q8C2×Q8semidirect
964. #121C2×Q8semidirect
965. #121C2×Q8semidirect
966. #121C2×Q8semidirect
1032. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#35032
#598312
#598092
#591552
#591542
#591532
#591522
#591442
#591362
#590812
#590362
#452742
#451102
#450992
#449392
#448942
#448792
#435292
#431002
#356392
#356202
#355742
#355662
C2×#25502
#347452
#342742
#342712
#342672