Finite Group Databasebeta

← #7726746

Subgroups — #7726746

Order 512.

7117 conjugacy classes of subgroups.

The subgroup lattice has 1797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic
2C22×#539C211yesmaximal, characteristic, complemented
3#48781C212yesmaximal, complemented
4#48780C212yesmaximal, complemented
5#47835C212yesmaximal, complemented
6#47834C212yesmaximal, complemented
7#46832C214yesmaximal, complemented
8#46374C214yesmaximal, complemented
9#43027C214yesmaximal, complemented
10#43026C214yesmaximal, complemented
11#39717C212yesmaximal, complemented
12#39589C212yesmaximal, complemented
13#38038C212yesmaximal, complemented
14#38038C212yesmaximal, complemented
15#38022C212yesmaximal, complemented
16#38022C212yesmaximal, complemented
17#37763C212yesmaximal, complemented
18#37760C212yesmaximal, complemented
19#37698C212yesmaximal, complemented
20#37692C212yesmaximal, complemented
21#37442C211yesmaximal, characteristic, complemented
22#36960C212yesmaximal, complemented
23#36716C212yesmaximal, complemented
24#36237C212yesmaximal, complemented
25#36236C212yesmaximal, complemented
26#35452C212yesmaximal, complemented
27#35349C212yesmaximal, complemented
28#35084C211yesmaximal, characteristic, complemented
29#35057C211yesmaximal, characteristic, complemented
30C2×#2579C211yesmaximal, characteristic, complemented
31#34379C211yesmaximal, characteristic, complemented
32#3519—216no—
33C2×#555C2211yescharacteristic
34C2×#554C2211yescharacteristic
35C2×#553C2212yes—
36C2×#553C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#546C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×D42C2211yescharacteristic
44C2×D42C2212yes—
45C2×#540C2212yes—
46C2×#539—216no—
47C2×#539C2212yes—
48C2×#539C2214yescomplemented
49C2×#539C2214yescomplemented
50C2×#539C2212yescomplemented
51C2×#539C2212yescomplemented
52C2×#539C2212yescomplemented
53C2×#538C2212yes—
54C2×#538C2212yes—
55C2×#532C2211yescharacteristic
56C2×#529C2211yescharacteristic
57C22×#126C2212yescomplemented
58C22×#125C2212yescomplemented
59C2×#525C2211yescharacteristic
60C2×#525C2211yescharacteristic
61C22×#123C2212yescomplemented
62C22×#123C2212yescomplemented
63C22×C22⋊Q8C2211yescharacteristic, complemented
64C22×C22⋊Q8C2212yescomplemented
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C2×#518C2212yes—
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2212yescomplemented
70C23×C4⋊C4C2211yescharacteristic, complemented
71#2855C2212yescomplemented
72#2855C2212yescomplemented
73#2854C2212yescomplemented
74#2849C2212yescomplemented
75#2849C2212yescomplemented
76#2849C2212yescomplemented
77#2849C2212yescomplemented
78#2848C2212yescomplemented
79#2814C2214yescomplemented
80#2726C2214yescomplemented
81#2725C2214yescomplemented
82#2724C2214yescomplemented
83#2724C2214yescomplemented
84#2722C2214yescomplemented
85#2722C2214yescomplemented
86#2720C2214yescomplemented
87#2719C2214yescomplemented
88#2717C2214yescomplemented
89#2717C2214yescomplemented
90#2715C2214yescomplemented
91#2715C2214yescomplemented
92#2713C2214yescomplemented
93#2711C2214yescomplemented
94#2709C2214yescomplemented
95#2709C2214yescomplemented
96#2708C2214yescomplemented
97#2708C2214yescomplemented
98#2708C2214yescomplemented
99#2708C2214yescomplemented
100#2707C2214yescomplemented
101#2704C2214yescomplemented
102#2701C2214yescomplemented
103#2701C2214yescomplemented
104#2701C2214yescomplemented
105#2701C2214yescomplemented
106#2700C2214yescomplemented
107#2700C2214yescomplemented
108#2698C2214yescomplemented
109#2698C2214yescomplemented
110#2697C2214yescomplemented
111#2697C2214yescomplemented
112#2695C2214yescomplemented
113#2695C2214yescomplemented
114#2691C2214yescomplemented
115#2691C2214yescomplemented
116#2681C2214yescomplemented
117#2681C2214yescomplemented
118#2680C2214yescomplemented
119#2680C2214yescomplemented
120#2659C2212yescomplemented
121#2639C2212yescomplemented
122#2638C2212yescomplemented
123#2638C2212yescomplemented
124#2627C2212yescomplemented
125#2627C2212yescomplemented
126#2627C2212yescomplemented
127#2625C2212yescomplemented
128#2622C2212yescomplemented
129#2622C2212yescomplemented
130#2618C2212yescomplemented
131#2618C2212yescomplemented
132#2618C2212yescomplemented
133#2616C2212yescomplemented
134#2591C2212yescomplemented
135#2591C2212yescomplemented
136#2583C2212yescomplemented
137#2583C2212yescomplemented
138#2583C2212yescomplemented
139#2579C2212yes—
140#2579C2212yes—
141#2579C2212yes—
142#2579C2212yescomplemented
143#2579C2212yescomplemented
144#2579C2212yescomplemented
145#2579C2212yescomplemented
146#2579C2212yescomplemented
147#2579C2212yescomplemented
148#2579C2212yescomplemented
149#2579C2212yescomplemented
150#2579C2212yescomplemented
151#2561C2212yescomplemented
152#2558C2214yescomplemented
153#2556C2214yescomplemented
154#2534C2214yescomplemented
155#2534C2214yescomplemented
156#2519C2214yescomplemented
157#2506C2214yescomplemented
158#2504C2212yescomplemented
159#2502C2212yescomplemented
160#2487C2212yes—
161#2487C2212yescomplemented
162#2486C2211yescharacteristic
163#2486C2211yescharacteristic, complemented
164#2486C2214yescomplemented
165#2486C2214yescomplemented
166#2486C2212yescomplemented
167#2484C2212yescomplemented
168#2483C2212yescomplemented
169#2483C2212yescomplemented
170#2483C2212yescomplemented
171#2480C2214yescomplemented
172#2480C2214yescomplemented
173#2478C2214yescomplemented
174#2478C2214yescomplemented
175#2475C2214yescomplemented
176#2473C2214yescomplemented
177#2468C2214yescomplemented
178#2468C2214yescomplemented
179#2466C2214yescomplemented
180#2466C2214yescomplemented
181#2462C2214yescomplemented
182#2460C2214yescomplemented
183#2450C2214yescomplemented
184#2450C2214yescomplemented
185#2449C2214yescomplemented
186#2449C2214yescomplemented
187#2447C2214yescomplemented
188#2445C2214yescomplemented
189#2444C2214yescomplemented
190#2444C2214yescomplemented
191#2443C2214yescomplemented
192#2443C2214yescomplemented
193#2438C2214yescomplemented
194#2438C2214yescomplemented
195#2437C2214yescomplemented
196#2437C2214yescomplemented
197#2425C2214yescomplemented
198#2425C2214yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2422C2214yescomplemented
202#2420C2214yescomplemented
203#2419C2214yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2214yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2413C2214yescomplemented
215#2412C2212yescomplemented
216#2412C2212yescomplemented
217#2412C2212yescomplemented
218#2412C2212yescomplemented
219#2412C2212yescomplemented
220#2412C2212yescomplemented
221#2409C2211yescharacteristic
222#2409C2211yescharacteristic, complemented
223#2409C2212yescomplemented
224#2406C2214yescomplemented
225#2406C2214yescomplemented
226#2406C2212yescomplemented
227#2405C2212yes—
228#2405C2212yes—
229#2405C2212yes—
230#2405C2214yescomplemented
231#2405C2214yescomplemented
232C2×#398C2212yescomplemented
233C2×#396C2212yescomplemented
234#2377C2212yescomplemented
235#2377C2212yescomplemented
236#2361C2214yescomplemented
237#2349C2214yescomplemented
238D4×C4⋊C4C2214yescomplemented
239#2345C2212yescomplemented
240#2339C2214yescomplemented
241D4×C22⋊C4C2214yescomplemented
242D4×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2325C2212yes—
246#2325C2212yescomplemented
247#2324C2214yescomplemented
248#2322C2212yes—
249#2322C2212yes—
250#2322C2212yescomplemented
251#2322C2214yescomplemented
252#2322C2212yescomplemented
253#2315C2212yescomplemented
254#2315C2212yescomplemented
255#2312C2212yescomplemented
256#2308C2212yes—
257C4×#123C2212yes—
258C4×#123C2212yescomplemented
259C2×#387C2212yescomplemented
260C2×#386C2211yescharacteristic
261C2×#386C2211yescharacteristic
262C2×#386C2212yes—
263C2×#385C2212yescomplemented
264C2×#385C2211yescharacteristic, complemented
265C2×#385C2211yescharacteristic, complemented
266C2×#385C2212yescomplemented
267#2280C2211yescharacteristic, complemented
268C2×#380C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C23×Q8C2311yescharacteristic
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
276C23×D4C2311yescharacteristic
277C23×D4C2312yes—
278C23×D4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2312yes—
283C24×C4C2311yescharacteristic
284#555—28no—
285#554—28no—
286#553—216no—
287#553—28no—
288#553—28no—
289#550—28no—
290#546—216no—
291#546—28no—
292#546—216no—
293#546—28no—
294D42—216no—
295D42—28no—
296#540—216no—
297#539—216no—
298#539—216no—
299#539—232no—
300#539—232no—
301#539—216no—
302#539—216no—
303#538—216no—
304#538—216no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309#529—28no—
310C2×#126—216no—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125—216no—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329#525—28no—
330#525—28no—
331C2×#123—216no—
332C2×#123—216no—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8—28no—
357C2×C22⋊Q8—216no—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×#121—28no—
375C2×#121D4116yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2311yescharacteristic
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404#518—216no—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×D4—216no—
407C2×C4×D4—28no—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C22×C4⋊C4—28no—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2314yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2314yes—
476C22×C22⋊C4C2312yes—
477C22×C42C2312yes—
478C22×C42C2311yescharacteristic
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#399C2314yes—
486#399C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2312yes—
497#398C2312yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#397C2312yes—
509#397C2312yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2314yes—
542#395C2312yes—
543#395C2312yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#393C2312yes—
569#393C2312yes—
570#393C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#388C2314yes—
598#388C2314yes—
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#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#384C2314yes—
714#382C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#379C2314yes—
751#379C2314yes—
752#379C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2314yes—
756#379C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C2×#95C2312yes—
767C2×#95C2312yes—
768C2×#95C2314yes—
769C2×#95C2312yes—
770C2×#95C2314yes—
771C2×#95C2312yes—
772C2×#95C2312yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2412yes—
776C25C2412yes—
777C2×#41—24no—
778C2×#41—28no—
779C2×#41—24no—
780C2×#41—48no—
781C2×#41—82no—
782C2×#41—82no—
783C22×Q8—24no—
784C22×Q8—82no—
785C22×Q8C2411yescharacteristic
786C22×Q8C2412yes—
787C22×Q8C2412yes—
788C22×Q8C2412yes—
789C22×D4—24no—
790C22×D4—28no—
791C22×D4—24no—
792C22×D4—28no—
793C22×D4—24no—
794C22×D4—28no—
795C22×D4—48no—
796C22×D4—42no—
797C22×D4—44no—
798C22×D4—48no—
799C22×D4—82no—
800C22×D4—82no—
801C22×D4C2×D4116yes—
802C22×D4C2×D418yes—
803C22×D4C2411yescharacteristic
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2412yes—
808C22×D4C2411yescharacteristic
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2411yescharacteristic
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C23×C4—24no—
826C23×C4—24no—
827C23×C4—28no—
828C23×C4—24no—
829C23×C4—44no—
830C23×C4—82no—
831C23×C4—82no—
832C23×C4—82no—
833C23×C4—84no—
834C23×C4C2×D418yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C4⋊Q8—24no—
870#127—24no—
871#127—28no—
872#126—28no—
873#126—216no—
874#126—216no—
875#126—216no—
876#126—216no—
877#126—28no—
878#126—28no—
879#125—216no—
880#125—216no—
881#125—216no—
882#125—216no—
883#125—24no—
884#125—28no—
885#124—24no—
886#124—28no—
887#124—28no—
888#124—28no—
889#123—216no—
890#123—216no—
891#123—216no—
892#123—216no—
893#123—216no—
894#123—216no—
895#123—216no—
896#123—216no—
897#123—28no—
898#123—28no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—28no—
904#123—28no—
905#123—44no—
906#123—44no—
907#123—44no—
908#123—48no—
909#123—84no—
910#123—84no—
911#123—84no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—24no—
917C22⋊Q8—24no—
918C22⋊Q8—28no—
919C22⋊Q8—24no—
920C22⋊Q8—28no—
921C22⋊Q8—216no—
922C22⋊Q8—216no—
923C22⋊Q8—216no—
924C22⋊Q8—216no—
925C22⋊Q8—82no—
926C22⋊Q8—84no—
927C22⋊Q8—82no—
928#121—28no—
929#121—24no—
930#121—24no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—28no—
938#121—24no—
939#121—24no—
940#121—28no—
941#121—24no—
942#121—28no—
943#121—28no—
944#121C2×D418yes—
945#121C2×D418yes—
946#121C2×D4116yes—
947#121C2×D4116yes—
948#121C2×D418yes—
949#121C2×D418yes—
950#120—28no—
951#120—28no—
952#120—28no—
953#120—28no—
954#120—28no—
955#120—28no—
956C4×Q8—24no—
957C4×D4—216no—
958C4×D4—216no—
959C4×D4—216no—
960C4×D4—216no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—84no—
985#117—24no—
986#117—24no—
987#117—28no—
988#117—28no—
989#117—82no—
990C2×C4⋊C4—28no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—28no—
995C2×C4⋊C4—28no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4—28no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—82no—
1005C2×C4⋊C4—84no—
1006C2×C4⋊C4—82no—
1007C2×C4⋊C4C2×D418yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C22⋊C4—28no—
1062C2×C22⋊C4—28no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—28no—
1065C2×C22⋊C4—28no—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—28no—
1070C2×C22⋊C4—42no—
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—82no—
1076C2×C22⋊C4—84no—
1077C2×C22⋊C4C2×D4116yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C42—28no—
1144C2×C42—24no—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24—22no—
1199C24—22no—
1200C24—24no—
1201C24—24no—
1202C24—24no—
1203C24—22no—
1204C24—22no—
1205C24—24no—
1206C24—24no—
1207C24—24no—
1208C24—42no—
1209C24—42no—
1210C24—44no—
1211C24—41no—
1212C24—44no—
1213C24—42no—
1214C24—44no—
1215C24—44no—
1216C24C22×D414yes—
1217C24C22×D418yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225C24C2511yescharacteristic
1226#41—816no—
1227#41—88no—
1228#41—88no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—42no—
1234C2×Q8—44no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—44no—
1238C2×Q8—88no—
1239C2×D4—22no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—41no—
1270C2×D4—42no—
1271C2×D4—41no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—432no—
1283C2×D4—416no—
1284C2×D4—432no—
1285C2×D4—88no—
1286C2×D4—88no—
1287C2×D4—816no—
1288C2×D4C22×D418yes—
1289C2×D4C22×D418yes—
1290C2×D4C22×D418yes—
1291C2×D4C22×D418yes—
1292C2×D4C22×D414yes—
1293C2×D4C22×D414yes—
1294C2×D4C22×D418yes—
1295C2×D42−1+414yes—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—28no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—416no—
1369C22×C4—88no—
1370C22×C4—88no—
1371C22×C4—88no—
1372C22×C4—816no—
1373C22×C4C22×D418yes—
1374C22×C4C22×D414yes—
1375C22×C4C22×D414yes—
1376C22×C4C22×D414yes—
1377C22×C4C22×D414yes—
1378C22×C4C22×D414yes—
1379C22×C4C22×D414yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2514yes—
1386C22×C4C2514yes—
1387C22×C4C2514yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2514yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4C22×D414yes—
1454C4⋊C4C22×D414yes—
1455C4⋊C4C22×D418yes—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—22no—
1488C22⋊C4—24no—
1489C22⋊C4—22no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4C22×D418yes—
1518C22⋊C4C22×D418yes—
1519C22⋊C4C22×D418yes—
1520C22⋊C4C22×D418yes—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—28no—
1526C42—28no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—24no—
1548C23—22no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—28no—
1555C23—28no—
1556C23—216no—
1557C23—22no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—22no—
1566C23—24no—
1567C23—44no—
1568C23—48no—
1569C23—48no—
1570C23—48no—
1571C23—48no—
1572C23—44no—
1573C23—48no—
1574C23—48no—
1575C23—44no—
1576C23—82no—
1577C23—88no—
1578C23—84no—
1579C23—88no—
1580C23—84no—
1581C23—84no—
1582C23—88no—
1583C23—164no—
1584C23C23×D414yes—
1585C23C23×D414yes—
1586C23C23×D412yes—
1587C23C23×D412yes—
1588C23C23×D412yes—
1589C23C2×2−1+412yes—
1590C23C2×2−1+412yes—
1591C23#58514yes—
1592C23#58512yes—
1593C23C2611yescharacteristic
1594Q8—44no—
1595Q8—84no—
1596Q8—84no—
1597Q8—84no—
1598D4—216no—
1599D4—216no—
1600D4—28no—
1601D4—48no—
1602D4—48no—
1603D4—44no—
1604D4—48no—
1605D4—44no—
1606D4—44no—
1607D4—48no—
1608D4—44no—
1609D4—44no—
1610D4—48no—
1611D4—48no—
1612D4—44no—
1613D4—48no—
1614D4—84no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—82no—
1689C2×C4—82no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—82no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—88no—
1703C2×C4—164no—
1704C2×C4C23×D414yes—
1705C2×C4C23×D414yes—
1706C2×C4C23×D412yes—
1707C2×C4C23×D412yes—
1708C2×C4C23×D412yes—
1709C2×C4C23×D412yes—
1710C2×C4C2×2−1+412yes—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—22no—
1720C22—24no—
1721C22—24no—
1722C22—24no—
1723C22—22no—
1724C22—22no—
1725C22—24no—
1726C22—22no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—416no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—44no—
1750C22—816no—
1751C22—88no—
1752C22—168no—
1753C22#348514yes—
1754C22#348914yes—
1755C22C24×D411yescharacteristic
1756C22C22×2−1+411yescharacteristic
1757C22C2×#58512yes—
1758C22C2×#58511yescharacteristic
1759C22H(7,𝔽2)12yes—
1760C4—24no—
1761C4—24no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—44no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—44no—
1772C4—41no—
1773C4—42no—
1774C4—41no—
1775C4—44no—
1776C4—41no—
1777C4—44no—
1778C4—42no—
1779C4—44no—
1780C4—44no—
1781C4—44no—
1782C4—44no—
1783C2—24no—
1784C2—24no—
1785C2—42no—
1786C2—44no—
1787C2—44no—
1788C2—42no—
1789C2—81no—
1790C2—82no—
1791C2C2×#348511yescharacteristic
1792C2C2×#348911yescharacteristic
1793C2#6284211yescharacteristic
1794C2#6294812yes—
1795C2#6296312yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3519C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#539C2semidirect
3. #48781C2semidirect
4. #48780C2semidirect
5. #47835C2semidirect
6. #47834C2semidirect
7. #46832C2semidirect
8. #46374C2semidirect
9. #43027C2semidirect
10. #43026C2semidirect
11. #39717C2semidirect
12. #39589C2semidirect
13. #38038C2semidirect
14. #38038C2semidirect
15. #38022C2semidirect
16. #38022C2semidirect
17. #37763C2semidirect
18. #37760C2semidirect
19. #37698C2semidirect
20. #37692C2semidirect
21. #37442C2semidirect
22. #36960C2semidirect
23. #36716C2semidirect
24. #36237C2semidirect
25. #36236C2semidirect
26. #35452C2semidirect
27. #35349C2semidirect
28. #35084C2semidirect
29. #35057C2semidirect
30. C2×#2579C2semidirect
31. #34379C2semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
50. C2×#539C22semidirect
51. C2×#539C22semidirect
52. C2×#539C22semidirect
57. C22×#126C22semidirect
58. C22×#125C22semidirect
61. C22×#123C22semidirect
62. C22×#123C22semidirect
63. C22×C22⋊Q8C22semidirect
64. C22×C22⋊Q8C22semidirect
69. C22×C4×D4C22semidirect
70. C23×C4⋊C4C22semidirect
71. #2855C22semidirect
72. #2855C22semidirect
73. #2854C22semidirect
74. #2849C22semidirect
75. #2849C22semidirect
76. #2849C22semidirect
77. #2849C22semidirect
78. #2848C22semidirect
79. #2814C22semidirect
80. #2726C22semidirect
81. #2725C22semidirect
82. #2724C22semidirect
83. #2724C22semidirect
84. #2722C22semidirect
85. #2722C22semidirect
86. #2720C22semidirect
87. #2719C22semidirect
88. #2717C22semidirect
89. #2717C22semidirect
90. #2715C22semidirect
91. #2715C22semidirect
92. #2713C22semidirect
93. #2711C22semidirect
94. #2709C22semidirect
95. #2709C22semidirect
96. #2708C22semidirect
97. #2708C22semidirect
98. #2708C22semidirect
99. #2708C22semidirect
100. #2707C22semidirect
101. #2704C22semidirect
102. #2701C22semidirect
103. #2701C22semidirect
104. #2701C22semidirect
105. #2701C22semidirect
106. #2700C22semidirect
107. #2700C22semidirect
108. #2698C22semidirect
109. #2698C22semidirect
110. #2697C22semidirect
111. #2697C22semidirect
112. #2695C22semidirect
113. #2695C22semidirect
114. #2691C22semidirect
115. #2691C22semidirect
116. #2681C22semidirect
117. #2681C22semidirect
118. #2680C22semidirect
119. #2680C22semidirect
120. #2659C22semidirect
121. #2639C22semidirect
122. #2638C22semidirect
123. #2638C22semidirect
124. #2627C22semidirect
125. #2627C22semidirect
126. #2627C22semidirect
127. #2625C22semidirect
128. #2622C22semidirect
129. #2622C22semidirect
130. #2618C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
133. #2616C22semidirect
134. #2591C22semidirect
135. #2591C22semidirect
136. #2583C22semidirect
137. #2583C22semidirect
138. #2583C22semidirect
142. #2579C22semidirect
143. #2579C22semidirect
144. #2579C22semidirect
145. #2579C22semidirect
146. #2579C22semidirect
147. #2579C22semidirect
148. #2579C22semidirect
149. #2579C22semidirect
150. #2579C22semidirect
151. #2561C22semidirect
152. #2558C22semidirect
153. #2556C22semidirect
154. #2534C22semidirect
155. #2534C22semidirect
156. #2519C22semidirect
157. #2506C22semidirect
158. #2504C22semidirect
159. #2502C22semidirect
161. #2487C22semidirect
163. #2486C22semidirect
164. #2486C22semidirect
165. #2486C22semidirect
166. #2486C22semidirect
167. #2484C22semidirect
168. #2483C22semidirect
169. #2483C22semidirect
170. #2483C22semidirect
171. #2480C22semidirect
172. #2480C22semidirect
173. #2478C22semidirect
174. #2478C22semidirect
175. #2475C22semidirect
176. #2473C22semidirect
177. #2468C22semidirect
178. #2468C22semidirect
179. #2466C22semidirect
180. #2466C22semidirect
181. #2462C22semidirect
182. #2460C22semidirect
183. #2450C22semidirect
184. #2450C22semidirect
185. #2449C22semidirect
186. #2449C22semidirect
187. #2447C22semidirect
188. #2445C22semidirect
189. #2444C22semidirect
190. #2444C22semidirect
191. #2443C22semidirect
192. #2443C22semidirect
193. #2438C22semidirect
194. #2438C22semidirect
195. #2437C22semidirect
196. #2437C22semidirect
197. #2425C22semidirect
198. #2425C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
214. #2413C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
222. #2409C22semidirect
223. #2409C22semidirect
224. #2406C22semidirect
225. #2406C22semidirect
226. #2406C22semidirect
230. #2405C22semidirect
231. #2405C22semidirect
232. C2×#398C22semidirect
233. C2×#396C22semidirect
234. #2377C22semidirect
235. #2377C22semidirect
236. #2361C22semidirect
237. #2349C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2345C22semidirect
240. #2339C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
246. #2325C22semidirect
247. #2324C22semidirect
250. #2322C22semidirect
251. #2322C22semidirect
252. #2322C22semidirect
253. #2315C22semidirect
254. #2315C22semidirect
255. #2312C22semidirect
258. C4×#123C22semidirect
259. C2×#387C22semidirect
263. C2×#385C22semidirect
264. C2×#385C22semidirect
265. C2×#385C22semidirect
266. C2×#385C22semidirect
267. #2280C22semidirect
268. C2×#380C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C22×#5392
#487812
#487802
#478352
#478342
#468322
#463742
#430272
#430262
#397172
#395892
#380382
#380222
#377632
#377602
#376982
#376922
#374422
#369602
#367162
#362372
#362362
#354522
#353492
#350842
#350572
C2×#25792
#343792