Finite Group Databasebeta

← #7653303

Subgroups — #7653303

Order 512.

6782 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C22×#556C211yesmaximal, characteristic, complemented
3#42802C212yesmaximal, complemented
4#42799C212yesmaximal, complemented
5#42301C214yesmaximal, complemented
6#41943C214yesmaximal, complemented
7#39954C212yesmaximal, complemented
8#39951C212yesmaximal, complemented
9#39721C211yesmaximal, characteristic, complemented
10#39716C212yesmaximal, complemented
11#39593C211yesmaximal, characteristic, complemented
12#39588C212yesmaximal, complemented
13#39135C211yesmaximal, characteristic, complemented
14#39129C212yesmaximal, complemented
15#39123C211yesmaximal, characteristic, complemented
16#39117C212yesmaximal, complemented
17#38435C214yesmaximal, complemented
18#38431C214yesmaximal, complemented
19#37546C211yesmaximal, characteristic, complemented
20#37538C212yesmaximal, complemented
21#36582C211yesmaximal, characteristic, complemented
22#36547C211yesmaximal, characteristic, complemented
23#36529C211yesmaximal, characteristic, complemented
24#36528C211yesmaximal, characteristic, complemented
25#36271C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#35817C212yesmaximal, complemented
28#35787C212yesmaximal, complemented
29#35302C212yesmaximal, complemented
30#35247C211yesmaximal, characteristic, complemented
31#35145C212yesmaximal, complemented
32#35131C211yesmaximal, characteristic, complemented
33#34972C211yesmaximal, characteristic, complemented
34#34877C212yesmaximal, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36#3516—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#556—216no—
39C2×#556C2212yes—
40C2×#556C2214yes—
41C2×#556C2212yes—
42C2×#556C2214yes—
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#556C2212yescomplemented
46C2×#556C2211yescharacteristic, complemented
47C2×#554C2212yes—
48C2×#554C2211yescharacteristic
49C2×#553C2212yes—
50C2×#553C2211yescharacteristic
51C2×#552C2212yescomplemented
52C2×#552C2211yescharacteristic, complemented
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2211yescharacteristic
55C2×#548C2211yescharacteristic, complemented
56C2×#542C2211yescharacteristic, complemented
57C2×#542C2212yescomplemented
58C2×#541C2211yescharacteristic, complemented
59C2×#541C2212yescomplemented
60C22×C4⋊Q8C2211yescharacteristic
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2211yescharacteristic
65C22×#126C2212yes—
66C22×#126C2212yes—
67C22×#124C2211yescharacteristic
68C22×#124C2211yescharacteristic
69C22×C22⋊Q8C2212yes—
70C2×#520C2211yescharacteristic, complemented
71C2×#519C2211yescharacteristic, complemented
72C22×C4×Q8C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74C22×C4×Q8C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2861C2212yes—
78#2860C2214yescomplemented
79#2860C2214yescomplemented
80#2858C2212yes—
81#2855C2211yescharacteristic
82#2855C2211yescharacteristic
83#2855C2212yes—
84#2854C2211yescharacteristic
85#2854C2211yescharacteristic
86#2854C2212yes—
87#2848C2212yes—
88#2847C2212yes—
89#2823C2214yescomplemented
90#2823C2214yescomplemented
91#2820C2212yes—
92#2819C2212yes—
93#2734C2214yescomplemented
94#2733C2214yes—
95#2731C2214yes—
96#2731C2214yescomplemented
97#2730C2214yes—
98#2730C2214yes—
99#2729C2214yescomplemented
100#2729C2214yescomplemented
101#2727C2214yescomplemented
102#2725C2214yescomplemented
103#2723C2214yescomplemented
104#2721C2214yescomplemented
105#2716C2214yescomplemented
106#2714C2214yescomplemented
107#2705C2214yescomplemented
108#2704C2214yescomplemented
109#2702C2214yescomplemented
110#2702C2214yescomplemented
111#2692C2214yescomplemented
112#2690C2214yescomplemented
113#2683C2214yescomplemented
114#2681C2214yescomplemented
115#2677C2214yescomplemented
116#2676C2214yescomplemented
117#2664C2214yescomplemented
118#2664C2214yescomplemented
119#2662C2212yes—
120#2662C2212yes—
121#2662C2214yes—
122#2662C2214yescomplemented
123#2662C2214yescomplemented
124#2637C2214yescomplemented
125#2637C2214yescomplemented
126#2636C2214yescomplemented
127#2629C2214yescomplemented
128#2627C2212yes—
129#2626C2212yes—
130#2626C2212yes—
131#2620C2212yes—
132#2620C2212yes—
133#2620C2214yescomplemented
134#2618C2212yes—
135#2617C2212yes—
136#2617C2212yes—
137#2611C2214yescomplemented
138#2610C2214yes—
139#2610C2214yescomplemented
140#2609C2214yescomplemented
141#2609C2214yescomplemented
142#2604C2214yescomplemented
143#2604C2212yescomplemented
144#2604C2212yescomplemented
145#2603C2214yescomplemented
146#2601C2214yescomplemented
147#2601C2214yescomplemented
148#2601C2214yescomplemented
149#2601C2214yescomplemented
150#2601C2214yescomplemented
151#2601C2214yescomplemented
152#2601C2214yescomplemented
153#2601C2214yescomplemented
154#2592C2212yes—
155#2592C2212yescomplemented
156#2591C2212yes—
157#2591C2212yes—
158#2584C2212yescomplemented
159#2583C2212yes—
160#2583C2212yes—
161#2582C2212yescomplemented
162#2579C2212yes—
163#2579C2212yes—
164#2579C2212yes—
165#2579C2212yes—
166#2565C2212yescomplemented
167#2561C2212yes—
168#2561C2212yes—
169#2560C2214yescomplemented
170#2560C2214yescomplemented
171#2556C2214yescomplemented
172#2554C2214yescomplemented
173#2548C2212yes—
174#2546C2212yescomplemented
175#2545C2212yes—
176#2545C2212yes—
177#2545C2212yescomplemented
178#2545C2212yescomplemented
179#2544C2212yes—
180#2540C2212yes—
181#2539C2212yes—
182#2539C2212yes—
183#2538C2212yescomplemented
184#2534C2212yes—
185#2534C2212yes—
186#2534C2212yes—
187#2534C2212yes—
188#2519C2214yescomplemented
189#2512C2214yescomplemented
190#2503C2211yescharacteristic
191#2501C2211yescharacteristic
192#2486C2212yes—
193#2481C2214yescomplemented
194#2479C2214yescomplemented
195#2477C2214yescomplemented
196#2469C2214yescomplemented
197#2469C2214yescomplemented
198#2467C2214yes—
199#2467C2214yescomplemented
200#2465C2214yescomplemented
201#2465C2214yescomplemented
202#2463C2214yes—
203#2463C2214yescomplemented
204#2462C2214yescomplemented
205#2461C2214yescomplemented
206#2460C2214yes—
207#2458C2214yescomplemented
208#2456C2214yes—
209#2454C2212yes—
210#2453C2212yescomplemented
211#2452C2212yes—
212#2452C2214yescomplemented
213#2451C2212yescomplemented
214#2449C2214yescomplemented
215#2448C2212yes—
216#2448C2212yes—
217#2446C2212yescomplemented
218#2446C2212yescomplemented
219#2436C2212yes—
220#2436C2211yescharacteristic
221#2436C2211yescharacteristic
222#2435C2211yescharacteristic
223#2434C2211yescharacteristic
224#2434C2211yescharacteristic
225#2434C2212yescomplemented
226#2433C2211yescharacteristic
227#2432C2212yescomplemented
228#2431C2212yes—
229#2429C2212yescomplemented
230#2429C2212yescomplemented
231#2429C2212yescomplemented
232#2428C2212yes—
233#2427C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2212yescomplemented
237#2413C2211yescharacteristic
238#2413C2212yes—
239#2413C2211yescharacteristic
240#2413C2212yes—
241#2413C2211yescharacteristic
242#2413C2211yescharacteristic
243#2411C2212yes—
244#2411C2212yes—
245#2411C2212yes—
246#2411C2212yes—
247#2409C2212yes—
248#2409C2211yescharacteristic
249#2409C2211yescharacteristic
250#2408C2211yescharacteristic
251#2408C2211yescharacteristic
252#2396C2212yescomplemented
253#2396C2212yescomplemented
254#2396C2214yescomplemented
255#2392C2214yescomplemented
256#2367C2212yes—
257#2367C2212yescomplemented
258#2366C2212yes—
259#2365C2212yescomplemented
260#2363C2212yes—
261#2362C2212yescomplemented
262#2361C2212yes—
263#2360C2212yescomplemented
264#2355C2214yescomplemented
265#2355C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267#2345C2212yes—
268#2345C2212yes—
269#2345C2211yescharacteristic
270#2345C2211yescharacteristic
271Q8×C22⋊C4C2211yescharacteristic
272Q8×C22⋊C4C2211yescharacteristic
273#2324C2214yescomplemented
274#2323C2214yescomplemented
275#2323C2214yescomplemented
276#2322C2212yes—
277#2322C2212yes—
278#2321C2212yes—
279#2321C2212yes—
280#2321C2212yes—
281#2321C2212yes—
282C4×C4⋊Q8C2212yescomplemented
283C4×#124C2212yescomplemented
284C4×#123C2211yescharacteristic
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#123C2211yescharacteristic
288C4×#123C2211yescharacteristic
289C4×#123C2211yescharacteristic
290C4×#120C2212yes—
291C4×#120C2212yes—
292#2295C2212yescomplemented
293#2295C2214yescomplemented
294#2293C2214yescomplemented
295#2293C2214yescomplemented
296#2285C2212yes—
297#2285C2211yescharacteristic
298C42×Q8C2212yescomplemented
299C4×#117C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#557—28no—
309#556—216no—
310#556—216no—
311#556—232no—
312#556—216no—
313#556—232no—
314#556—216no—
315#556—216no—
316#556—28no—
317#554—28no—
318#554—216no—
319#553—28no—
320#553—216no—
321#552—216no—
322#552—28no—
323D4×Q8—28no—
324#548—28no—
325#548—28no—
326#542—28no—
327#542—216no—
328#541—28no—
329#541—216no—
330C2×C4⋊Q8—28no—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×#127C2312yes—
341#529—216no—
342#529—216no—
343#529—28no—
344#529—28no—
345C2×#126—216no—
346C2×#126—216no—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2311yescharacteristic
358C2×#126C2311yescharacteristic
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#124—28no—
375C2×#124—28no—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2314yes—
387C2×#124C2312yes—
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#123C2311yescharacteristic
393C2×#123C2311yescharacteristic
394C2×#123C2312yes—
395C2×#123C2311yescharacteristic
396C2×#123C2311yescharacteristic
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2311yescharacteristic
403C2×#123C2311yescharacteristic
404C2×C22⋊Q8—216no—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439#520—28no—
440#519—28no—
441C2×C4×Q8—28no—
442C2×C4×Q8—28no—
443C2×C4×Q8D4116yescomplemented
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2314yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×D4—28no—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×#117—216no—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2314yes—
524#400C2314yes—
525#400C2312yes—
526#400C2312yes—
527#400C2314yes—
528#399C2314yes—
529#399C2312yes—
530#399C2312yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#395C2312yes—
580#395C2312yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2312yes—
585#395C2312yes—
586#395C2314yes—
587#395C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2312yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#393C2314yes—
607#393C2314yes—
608#393C2314yes—
609#393C2314yes—
610#393C2312yes—
611#393C2312yes—
612#393C2312yes—
613#393C2312yes—
614#393C2314yes—
615#393C2314yes—
616#392C2314yes—
617#392C2312yes—
618#392C2312yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2314yes—
627#391C2314yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2314yes—
636#391C2312yes—
637#391C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2312yes—
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2312yes—
679#389C2314yes—
680#389C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2311yescharacteristic
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2311yescharacteristic
757#386C2311yescharacteristic
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#386C2311yescharacteristic
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#385C2311yescharacteristic
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2311yescharacteristic
775#385C2311yescharacteristic
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2311yescharacteristic
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#384C2312yes—
788#384C2314yes—
789#384C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2314yes—
793#381C2311yescharacteristic
794#381C2311yescharacteristic
795#381C2312yes—
796#381C2312yes—
797#381C2311yescharacteristic
798#381C2311yescharacteristic
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#379C2312yes—
810#379C2312yes—
811#379C2312yes—
812#379C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847#376C2314yes—
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—44no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8—44no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—44no—
861C22×Q8C2×D418yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×D4—24no—
874C22×D4—44no—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C23×C4—28no—
889C23×C4—48no—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—216no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—44no—
917C4⋊Q8—44no—
918#127—44no—
919#126—216no—
920#126—216no—
921#126—216no—
922#126—216no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—24no—
935#126—28no—
936#126—24no—
937#125—28no—
938#125—28no—
939#125—28no—
940#125—24no—
941#125—28no—
942#125—28no—
943#125—24no—
944#125—28no—
945#125—24no—
946#124—28no—
947#124—28no—
948#124—216no—
949#124—24no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124—24no—
957#124—28no—
958#124—24no—
959#124—44no—
960#124—44no—
961#124—44no—
962#123—24no—
963#123—28no—
964#123—24no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—24no—
969#123—24no—
970#123—44no—
971#123—44no—
972#123—42no—
973#123—42no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—48no—
992C22⋊Q8—48no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—24no—
1000#121—28no—
1001#121—48no—
1002#121—44no—
1003#121—44no—
1004#120—28no—
1005#120—44no—
1006#120—44no—
1007#120—44no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—216no—
1013C4×Q8—24no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—44no—
1024C4×Q8—44no—
1025C4×Q8C2×D418yes—
1026C4×Q8C2×D4116yes—
1027C4×Q8C2×D418yes—
1028C4×Q8C2×D418yes—
1029C4×Q8C2×D418yes—
1030C4×Q8C2×D4116yes—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—216no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—48no—
1048C4×D4—48no—
1049#117—24no—
1050#117—28no—
1051#117—24no—
1052#117—216no—
1053#117—216no—
1054#117—216no—
1055#117—216no—
1056#117—28no—
1057#117—24no—
1058#117—28no—
1059#117—24no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—42no—
1064#117—44no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—24no—
1069C2×C4⋊C4—24no—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—24no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4C2×D418yes—
1074C2×C4⋊C4C2×D4116yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C42—28no—
1221C2×C42—24no—
1222C2×C42—24no—
1223C2×C42C2×D4116yes—
1224C2×C42C2×D418yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304C24—24no—
1305C24—24no—
1306C24—24no—
1307C24—44no—
1308C24—44no—
1309C24C2514yes—
1310C24C2511yescharacteristic
1311C24C2511yescharacteristic
1312C24C2512yes—
1313C24C2511yescharacteristic
1314#41—416no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—44no—
1331C2×Q8—42no—
1332C2×Q8—42no—
1333C2×Q8—44no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—42no—
1337C2×Q8—416no—
1338C2×Q8—416no—
1339C2×Q8—416no—
1340C2×Q8—416no—
1341C2×Q8C22×D414yes—
1342C2×Q8C22×D414yes—
1343C2×Q8C22×D418yes—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—28no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—416no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—28no—
1397C22×C4—28no—
1398C22×C4—28no—
1399C22×C4—28no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—432no—
1418C22×C4C22×D414yes—
1419C22×C4C22×D414yes—
1420C22×C4C22×D418yes—
1421C22×C4C22×D418yes—
1422C22×C4C22×D414yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2514yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D418yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D418yes—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D418yes—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—28no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C42−1+414yes—
1593C42—28no—
1594C42—28no—
1595C42—24no—
1596C42—24no—
1597C42—24no—
1598C42—24no—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—22no—
1604C42—24no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—42no—
1610C42—44no—
1611C42—44no—
1612C42—44no—
1613C42—44no—
1614C42—44no—
1615C42—42no—
1616C42—42no—
1617C42C22×D418yes—
1618C42C22×D418yes—
1619C42C22×D414yes—
1620C42C22×D418yes—
1621C42C22×D414yes—
1622C42C22×D418yes—
1623C42C22×D414yes—
1624C42C22×D414yes—
1625C23—22no—
1626C23—22no—
1627C23—24no—
1628C23—21no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—24no—
1634C23—22no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—24no—
1640C23—24no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—24no—
1646C23—21no—
1647C23—21no—
1648C23—24no—
1649C23—48no—
1650C23—48no—
1651C23—48no—
1652C23—88no—
1653C23—88no—
1654C23C23×D412yes—
1655C23C2×2−1+412yes—
1656C23#58512yes—
1657C23C2611yescharacteristic
1658Q8—28no—
1659Q8—28no—
1660Q8—48no—
1661Q8—48no—
1662Q8—48no—
1663Q8—48no—
1664Q8—48no—
1665Q8—44no—
1666Q8—48no—
1667Q8—84no—
1668Q8—82no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—44no—
1673D4—44no—
1674D4—48no—
1675D4—44no—
1676D4—88no—
1677D4—84no—
1678D4—82no—
1679D4—88no—
1680D4—164no—
1681D4—164no—
1682C2×C4—28no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—28no—
1699C2×C4—28no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—48no—
1749C2×C4—44no—
1750C2×C4—48no—
1751C2×C4—416no—
1752C2×C4—416no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4C23×D414yes—
1765C2×C4C23×D412yes—
1766C2×C4C23×D412yes—
1767C2×C4C23×D414yes—
1768C2×C4C23×D414yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D412yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D412yes—
1773C2×C4C23×D412yes—
1774C2×C4C2×2−1+414yes—
1775C2×C4#58514yes—
1776C2×C4#58514yes—
1777C22—24no—
1778C22—24no—
1779C22—22no—
1780C22—22no—
1781C22—44no—
1782C22—44no—
1783C22—42no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—44no—
1790C22—44no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—42no—
1801C22—41no—
1802C22—44no—
1803C22—816no—
1804C22#349714yes—
1805C22C24×D411yescharacteristic
1806C22C22×2−1+411yescharacteristic
1807C22C2×#58512yes—
1808C22C2×#58512yes—
1809C22C2×#58511yescharacteristic
1810C4—24no—
1811C4—22no—
1812C4—22no—
1813C4—24no—
1814C4—24no—
1815C4—24no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—24no—
1820C4—24no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—44no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—41no—
1835C4—41no—
1836C4—44no—
1837C4—41no—
1838C4—42no—
1839C4#344914yes—
1840C2—24no—
1841C2—82no—
1842C2—81no—
1843C2—81no—
1844C2—84no—
1845C2C2×#344911yescharacteristic
1846C2C2×#349711yescharacteristic
1847C2#6281111yescharacteristic
1848C2#6302512yes—
1849C2#6302912yes—
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×#3516C2semidirect
2. C22×#556C2semidirect
3. #42802C2semidirect
4. #42799C2semidirect
5. #42301C2semidirect
6. #41943C2semidirect
7. #39954C2semidirect
8. #39951C2semidirect
9. #39721C2semidirect
10. #39716C2semidirect
11. #39593C2semidirect
12. #39588C2semidirect
13. #39135C2semidirect
14. #39129C2semidirect
15. #39123C2semidirect
16. #39117C2semidirect
17. #38435C2semidirect
18. #38431C2semidirect
19. #37546C2semidirect
20. #37538C2semidirect
21. #36582C2semidirect
22. #36547C2semidirect
23. #36529C2semidirect
24. #36528C2semidirect
25. #36271C2semidirect
26. #36268C2semidirect
27. #35817C2semidirect
28. #35787C2semidirect
29. #35302C2semidirect
30. #35247C2semidirect
31. #35145C2semidirect
32. #35131C2semidirect
33. #34972C2semidirect
34. #34877C2semidirect
35. Q8×#117C2semidirect
37. C2×#557C22semidirect
45. C2×#556C22semidirect
46. C2×#556C22semidirect
51. C2×#552C22semidirect
52. C2×#552C22semidirect
55. C2×#548C22semidirect
56. C2×#542C22semidirect
57. C2×#542C22semidirect
58. C2×#541C22semidirect
59. C2×#541C22semidirect
70. C2×#520C22semidirect
71. C2×#519C22semidirect
78. #2860C22semidirect
79. #2860C22semidirect
89. #2823C22semidirect
90. #2823C22semidirect
93. #2734C22semidirect
96. #2731C22semidirect
99. #2729C22semidirect
100. #2729C22semidirect
101. #2727C22semidirect
102. #2725C22semidirect
103. #2723C22semidirect
104. #2721C22semidirect
105. #2716C22semidirect
106. #2714C22semidirect
107. #2705C22semidirect
108. #2704C22semidirect
109. #2702C22semidirect
110. #2702C22semidirect
111. #2692C22semidirect
112. #2690C22semidirect
113. #2683C22semidirect
114. #2681C22semidirect
115. #2677C22semidirect
116. #2676C22semidirect
117. #2664C22semidirect
118. #2664C22semidirect
122. #2662C22semidirect
123. #2662C22semidirect
124. #2637C22semidirect
125. #2637C22semidirect
126. #2636C22semidirect
127. #2629C22semidirect
133. #2620C22semidirect
137. #2611C22semidirect
139. #2610C22semidirect
140. #2609C22semidirect
141. #2609C22semidirect
142. #2604C22semidirect
143. #2604C22semidirect
144. #2604C22semidirect
145. #2603C22semidirect
146. #2601C22semidirect
147. #2601C22semidirect
148. #2601C22semidirect
149. #2601C22semidirect
150. #2601C22semidirect
151. #2601C22semidirect
152. #2601C22semidirect
153. #2601C22semidirect
155. #2592C22semidirect
158. #2584C22semidirect
161. #2582C22semidirect
166. #2565C22semidirect
169. #2560C22semidirect
170. #2560C22semidirect
171. #2556C22semidirect
172. #2554C22semidirect
174. #2546C22semidirect
177. #2545C22semidirect
178. #2545C22semidirect
183. #2538C22semidirect
188. #2519C22semidirect
189. #2512C22semidirect
193. #2481C22semidirect
194. #2479C22semidirect
195. #2477C22semidirect
196. #2469C22semidirect
197. #2469C22semidirect
199. #2467C22semidirect
200. #2465C22semidirect
201. #2465C22semidirect
203. #2463C22semidirect
204. #2462C22semidirect
205. #2461C22semidirect
207. #2458C22semidirect
210. #2453C22semidirect
212. #2452C22semidirect
213. #2451C22semidirect
214. #2449C22semidirect
217. #2446C22semidirect
218. #2446C22semidirect
225. #2434C22semidirect
227. #2432C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
231. #2429C22semidirect
236. #2426C22semidirect
252. #2396C22semidirect
253. #2396C22semidirect
254. #2396C22semidirect
255. #2392C22semidirect
257. #2367C22semidirect
259. #2365C22semidirect
261. #2362C22semidirect
263. #2360C22semidirect
264. #2355C22semidirect
265. #2355C22semidirect
266. Q8×C4⋊C4C22semidirect
273. #2324C22semidirect
274. #2323C22semidirect
275. #2323C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#124C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
298. C42×Q8C22semidirect
443. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C22×#5562
#428022
#427992
#423012
#419432
#399542
#399512
#397212
#397162
#395932
#395882
#391352
#391292
#391232
#391172
#384352
#384312
#375462
#375382
#365822
#365472
#365292
#365282
#362712
#362682
#358172
#357872
#353022
#352472
#351452
#351312
#349722
#348772
Q8×#1172