Finite Group Databasebeta

← #7651311

Subgroups — #7651311

Order 512.

7016 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#42970C212yesmaximal, complemented
4#42929C212yesmaximal, complemented
5#42799C212yesmaximal, complemented
6#42795C212yesmaximal, complemented
7#42675C212yesmaximal, complemented
8#42649C212yesmaximal, complemented
9#42477C212yesmaximal, complemented
10#42441C212yesmaximal, complemented
11#40518C214yesmaximal, complemented
12#40493C214yesmaximal, complemented
13#39963C212yesmaximal, complemented
14#39959C212yesmaximal, complemented
15#39879C212yesmaximal, complemented
16#39853C212yesmaximal, complemented
17#39614C212yesmaximal, complemented
18#39599C212yesmaximal, complemented
19#39468C212yesmaximal, complemented
20#38950C212yesmaximal, complemented
21#38361C214yesmaximal, complemented
22#38025C214yesmaximal, complemented
23#35621C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35564C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35308C211yesmaximal, characteristic, complemented
31#35153C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic, complemented
34C2×#2451C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3511—216no—
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#556C2212yes—
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#555C2212yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#553C2214yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#548C2214yes—
51C2×#547C2212yes—
52C2×#542C2212yes—
53C2×#542C2212yes—
54C2×#539C2214yes—
55C2×#537C2211yescharacteristic
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yes—
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C22×C4⋊Q8C2211yescharacteristic
69C2×#529C2214yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2212yes—
78#2857C2212yes—
79#2854C2214yes—
80#2850C2212yes—
81#2850C2212yes—
82#2823C2214yes—
83#2820C2214yes—
84#2814C2214yes—
85#2814C2214yes—
86#2726C2214yes—
87#2726C2214yes—
88#2725C2214yes—
89#2722C2214yes—
90#2722C2214yes—
91#2715C2214yes—
92#2715C2214yes—
93#2715C2214yes—
94#2715C2214yes—
95#2715C2214yes—
96#2712C2214yes—
97#2712C2214yes—
98#2707C2214yes—
99#2707C2214yes—
100#2705C2214yes—
101#2704C2214yes—
102#2704C2214yes—
103#2704C2214yes—
104#2704C2214yes—
105#2704C2214yes—
106#2702C2214yes—
107#2702C2214yes—
108#2695C2214yes—
109#2691C2214yes—
110#2691C2214yes—
111#2683C2214yes—
112#2683C2214yes—
113#2681C2214yes—
114#2676C2214yes—
115#2672C2214yes—
116#2672C2214yes—
117#2671C2214yes—
118#2664C2214yes—
119#2662C2214yes—
120#2659C2214yes—
121#2637C2214yes—
122#2637C2214yes—
123#2630C2214yes—
124#2630C2214yes—
125#2629C2214yes—
126#2625C2214yes—
127#2621C2212yes—
128#2621C2212yes—
129#2620C2214yes—
130#2620C2212yes—
131#2620C2212yes—
132#2618C2214yes—
133#2618C2214yes—
134#2616C2214yes—
135#2609C2214yes—
136#2601C2214yes—
137#2601C2214yes—
138#2592C2214yes—
139#2584C2214yes—
140#2582C2214yes—
141#2582C2212yes—
142#2581C2212yes—
143#2580C2212yes—
144#2579C2214yes—
145#2548C2211yescharacteristic
146#2547C2212yes—
147#2547C2212yes—
148#2547C2211yescharacteristic
149#2546C2212yes—
150#2546C2212yes—
151#2546C2211yescharacteristic
152#2545C2212yes—
153#2545C2212yes—
154#2545C2211yescharacteristic
155#2545C2211yescharacteristic
156#2544C2212yes—
157#2544C2212yes—
158#2544C2211yescharacteristic
159#2544C2211yescharacteristic
160#2543C2214yes—
161#2543C2212yes—
162#2543C2212yes—
163#2543C2214yes—
164#2541C2211yescharacteristic
165#2538C2212yes—
166#2498C2214yes—
167#2485C2214yes—
168#2454C2211yescharacteristic
169#2454C2211yescharacteristic
170#2453C2211yescharacteristic
171#2453C2211yescharacteristic
172#2452C2211yescharacteristic
173#2452C2212yes—
174#2452C2212yes—
175#2452C2211yescharacteristic
176#2451C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2451C2212yes—
184#2451C2212yes—
185#2451C2212yes—
186#2451C2211yescharacteristic
187#2451C2211yescharacteristic
188#2450C2212yes—
189#2450C2212yes—
190#2450C2214yes—
191#2449C2212yes—
192#2449C2214yes—
193#2449C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2439C2212yes—
202#2430C2214yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2428C2212yes—
214#2428C2212yes—
215#2427C2212yes—
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2425C2214yes—
228#2425C2214yes—
229#2425C2214yes—
230#2425C2214yes—
231#2425C2214yes—
232#2425C2214yes—
233#2425C2214yes—
234#2425C2214yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2214yes—
241#2417C2214yes—
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2214yes—
246#2416C2214yes—
247#2416C2212yes—
248#2416C2212yes—
249#2415C2212yes—
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2414C2212yes—
256#2414C2212yes—
257#2409C2214yes—
258#2407C2214yes—
259#2396C2212yes—
260#2396C2212yes—
261#2392C2212yes—
262#2392C2212yes—
263C2×#398C2212yes—
264C2×#395C2212yes—
265#2351C2212yes—
266Q8×C4⋊C4C2212yes—
267#2349C2214yes—
268#2349C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2214yes—
271#2325C2214yes—
272#2323C2214yes—
273#2323C2214yes—
274#2317C2212yes—
275#2317C2211yescharacteristic
276#2317C2211yescharacteristic
277#2316C2211yescharacteristic
278#2316C2212yes—
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2214yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2212yes—
291#2296C2211yescharacteristic
292#2296C2211yescharacteristic
293C2×#391C2211yescharacteristic
294C2×#391C2211yescharacteristic
295C2×#391C2212yes—
296C2×#389C2212yes—
297C2×#389C2211yescharacteristic
298C2×#389C2211yescharacteristic
299C2×#387C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308#559—216no—
309#557—216no—
310#556—216no—
311#556—216no—
312#556—216no—
313#556—216no—
314#555—216no—
315#554—216no—
316#554—216no—
317#553—232no—
318#552—216no—
319#552—216no—
320#548—232no—
321#547—216no—
322#542—216no—
323#542—216no—
324#539—232no—
325#537—28no—
326#537—28no—
327#537—44no—
328#536—28no—
329#536—28no—
330#536—44no—
331#536—44no—
332#533—216no—
333#533—28no—
334#532—28no—
335#532—28no—
336#532—216no—
337#532—44no—
338C2×C4⋊Q8—28no—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2311yescharacteristic
354C2×#127C2311yescharacteristic
355#529—232no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436#520—28no—
437#520—28no—
438#520—44no—
439#520D4116yescomplemented
440C4×#41—28no—
441C4×#41—44no—
442C2×C4×Q8—28no—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2314yes—
486C2×#117C2311yescharacteristic
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2314yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C42C2312yes—
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2312yes—
516#400C2314yes—
517#400C2312yes—
518#400C2312yes—
519#399C2312yes—
520#399C2314yes—
521#399C2312yes—
522#398C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2312yes—
546#398C2312yes—
547#398C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2314yes—
575#396C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2312yes—
595#395C2314yes—
596#395C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2312yes—
618#394C2312yes—
619#393C2314yes—
620#393C2312yes—
621#393C2314yes—
622#393C2312yes—
623#393C2314yes—
624#392C2312yes—
625#392C2314yes—
626#392C2312yes—
627#392C2314yes—
628#391C2314yes—
629#391C2312yes—
630#391C2314yes—
631#391C2312yes—
632#391C2314yes—
633#391C2311yescharacteristic
634#391C2311yescharacteristic
635#391C2312yes—
636#391C2314yes—
637#391C2314yes—
638#391C2314yes—
639#391C2312yes—
640#391C2312yes—
641#391C2311yescharacteristic
642#391C2311yescharacteristic
643#391C2312yes—
644#391C2312yes—
645#391C2314yes—
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2312yes—
650#391C2312yes—
651#391C2311yescharacteristic
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2314yes—
661#390C2311yescharacteristic
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2314yes—
665#390C2311yescharacteristic
666#390C2311yescharacteristic
667#390C2312yes—
668#390C2311yescharacteristic
669#390C2311yescharacteristic
670#390C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2311yescharacteristic
713#389C2311yescharacteristic
714#389C2311yescharacteristic
715#389C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#387C2312yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2312yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2312yes—
746#387C2314yes—
747#387C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2314yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2312yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#385C2312yes—
790#385C2312yes—
791#385C2312yes—
792#384C2314yes—
793#384C2312yes—
794#384C2312yes—
795#382C2314yes—
796#382C2312yes—
797#382C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C2×#95C2314yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2311yescharacteristic
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2312yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—216no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—48no—
864C2×#41—84no—
865C2×#41C2×D418yes—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—44no—
871C22×Q8—82no—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2414yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—42no—
933C4⋊Q8—44no—
934C4⋊Q8—44no—
935#127—24no—
936#127—24no—
937#127—42no—
938#126—216no—
939#126—216no—
940#126—216no—
941#126—216no—
942#126—216no—
943#126—216no—
944#125—216no—
945#125—24no—
946#125—24no—
947#125—216no—
948#125—216no—
949#125—216no—
950#124—24no—
951#124—24no—
952#124—24no—
953#124—24no—
954#124—28no—
955#124—216no—
956#124—216no—
957#124—216no—
958#124—28no—
959#124—216no—
960#124—42no—
961#124—42no—
962#124—44no—
963#124—44no—
964#123—216no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—48no—
971#123—48no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—84no—
997C22⋊Q8—84no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—216no—
1004#121—28no—
1005#121—216no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—216no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—48no—
1016#121—84no—
1017#121—84no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—216no—
1028C4×Q8—28no—
1029C4×Q8—28no—
1030C4×Q8—42no—
1031C4×Q8—42no—
1032C4×Q8—44no—
1033C4×Q8C2×D4116yes—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4C2×D4132yes—
1057C4×D4C2×D4116yes—
1058#117—24no—
1059#117—216no—
1060#117—24no—
1061#117—24no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—216no—
1066#117—216no—
1067#117—44no—
1068#117—44no—
1069#117C2×D418yes—
1070#117C2×D4116yes—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—24no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—24no—
1078C2×C4⋊C4—42no—
1079C2×C4⋊C4—44no—
1080C2×C4⋊C4—82no—
1081C2×C4⋊C4—84no—
1082C2×C4⋊C4—82no—
1083C2×C4⋊C4C2×D418yes—
1084C2×C4⋊C4C2×D4116yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C42—28no—
1219C2×C42—24no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—28no—
1223C2×C42—44no—
1224C2×C42C2411yescharacteristic
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2414yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2414yes—
1249C2×C42C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304C24C2512yes—
1305C24C2512yes—
1306C24C2512yes—
1307C24C2512yes—
1308C24C2511yescharacteristic
1309#41—232no—
1310#41—416no—
1311#41—416no—
1312#41—416no—
1313#41—832no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—28no—
1321C2×Q8—24no—
1322C2×Q8—28no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—28no—
1337C2×Q8—44no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—42no—
1341C2×Q8—44no—
1342C2×Q8—44no—
1343C2×Q8—416no—
1344C2×Q8—816no—
1345C2×Q8C22×D414yes—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—28no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4C22×D418yes—
1396C2×D4C22×D414yes—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—24no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—42no—
1437C22×C4—41no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—41no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—41no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4C22×D418yes—
1461C22×C4C22×D418yes—
1462C22×C4C22×D4116yes—
1463C22×C4C22×D414yes—
1464C22×C4H(5,𝔽2)14yes—
1465C22×C42−1+414yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2514yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2514yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—41no—
1539C4⋊C4—41no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C22×D4116yes—
1569C4⋊C4C22×D414yes—
1570C4⋊C42−1+414yes—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4C22×D418yes—
1628C22⋊C4C22×D4116yes—
1629C42—22no—
1630C42—28no—
1631C42—22no—
1632C42—24no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—24no—
1638C42—28no—
1639C42—22no—
1640C42—22no—
1641C42—28no—
1642C42—28no—
1643C42—24no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—24no—
1649C42—24no—
1650C42—42no—
1651C42—42no—
1652C42—44no—
1653C42C22×D418yes—
1654C42C22×D4116yes—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23C23×D414yes—
1687C23C23×D412yes—
1688C23C2×H(5,𝔽2)12yes—
1689C23C2×2−1+412yes—
1690C23C2611yescharacteristic
1691Q8—28no—
1692Q8—48no—
1693Q8—416no—
1694Q8—48no—
1695Q8—48no—
1696Q8—44no—
1697Q8—44no—
1698Q8—44no—
1699Q8—84no—
1700Q8—88no—
1701D4—216no—
1702D4—28no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—48no—
1709D4—44no—
1710D4—44no—
1711D4—44no—
1712D4—84no—
1713D4—88no—
1714D4—84no—
1715D4—88no—
1716D4—84no—
1717D4—164no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—216no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—48no—
1796C2×C4—416no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—48no—
1807C2×C4—88no—
1808C2×C4—84no—
1809C2×C4—88no—
1810C2×C4—82no—
1811C2×C4—82no—
1812C2×C4—84no—
1813C2×C4—84no—
1814C2×C4—84no—
1815C2×C4—164no—
1816C2×C4#537116yes—
1817C2×C4C23×D414yes—
1818C2×C4C23×D418yes—
1819C2×C4C23×D414yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D412yes—
1822C2×C4C23×D412yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4C2×2−1+412yes—
1826C2×C4C2×2−1+412yes—
1827C2×C4C2×2−1+412yes—
1828C2×C4C2×2−1+412yes—
1829C2×C4C2×2−1+412yes—
1830C2×C4#58512yes—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—24no—
1838C22—24no—
1839C22—24no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22C2×#53714yes—
1866C22C24×D411yescharacteristic
1867C22C22×H(5,𝔽2)11yescharacteristic
1868C22C22×2−1+411yescharacteristic
1869C22C22×2−1+411yescharacteristic
1870C22C2×#58511yescharacteristic
1871C22H(7,𝔽2)11yescharacteristic
1872C222−1+611yescharacteristic
1873C4—24no—
1874C4—22no—
1875C4—28no—
1876C4—22no—
1877C4—24no—
1878C4—22no—
1879C4—22no—
1880C4—24no—
1881C4—41no—
1882C4—44no—
1883C4—42no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—42no—
1893C4—41no—
1894C4—44no—
1895C4—41no—
1896C4—42no—
1897C4—42no—
1898C4—42no—
1899C4—42no—
1900C4—44no—
1901C4C2×#53714yes—
1902C4C2×#53714yes—
1903C2—24no—
1904C2—44no—
1905C2—82no—
1906C2—82no—
1907C2—82no—
1908C2C22×#53711yescharacteristic
1909C2#6283511yescharacteristic
1910C2#6287811yescharacteristic
1911C2#6294311yescharacteristic
1912C2#6295611yescharacteristic
1913C2#6298711yescharacteristic
1914C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3511C2semidirect
2. C2×#3507C2semidirect
3. #42970C2semidirect
4. #42929C2semidirect
5. #42799C2semidirect
6. #42795C2semidirect
7. #42675C2semidirect
8. #42649C2semidirect
9. #42477C2semidirect
10. #42441C2semidirect
11. #40518C2semidirect
12. #40493C2semidirect
13. #39963C2semidirect
14. #39959C2semidirect
15. #39879C2semidirect
16. #39853C2semidirect
17. #39614C2semidirect
18. #39599C2semidirect
19. #39468C2semidirect
20. #38950C2semidirect
21. #38361C2semidirect
22. #38025C2semidirect
23. #35621C2semidirect
24. #35621C2semidirect
25. #35574C2semidirect
26. #35564C2semidirect
27. #35564C2semidirect
28. #35519C2semidirect
29. #35308C2semidirect
30. #35308C2semidirect
31. #35153C2semidirect
32. #34937C2semidirect
33. #34745C2semidirect
34. C2×#2451C2semidirect
35. #34250C2semidirect
439. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35072
#429702
#429292
#427992
#427952
#426752
#426492
#424772
#424412
#405182
#404932
#399632
#399592
#398792
#398532
#396142
#395992
#394682
#389502
#383612
#380252
#356212
#355742
#355642
#355192
#353082
#351532
#349372
#347452
C2×#24512
#342502