Finite Group Databasebeta

← #7709331

Subgroups — #7709331

Order 512.

6986 conjugacy classes of subgroups.

The subgroup lattice has 1909 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59120C212yesmaximal, complemented
4#59118C212yesmaximal, complemented
5#59104C212yesmaximal, complemented
6#59102C212yesmaximal, complemented
7#45767C214yesmaximal, complemented
8#45766C214yesmaximal, complemented
9#39135C211yesmaximal, characteristic, complemented
10#39134C211yesmaximal, characteristic, complemented
11#39129C212yesmaximal, complemented
12#39123C211yesmaximal, characteristic, complemented
13#39122C211yesmaximal, characteristic, complemented
14#39117C212yesmaximal, complemented
15#37799C212yesmaximal, complemented
16#37797C212yesmaximal, complemented
17#37787C212yesmaximal, complemented
18#37785C212yesmaximal, complemented
19#37743C214yesmaximal, complemented
20#37741C214yesmaximal, complemented
21#37448C211yesmaximal, characteristic, complemented
22#37437C211yesmaximal, characteristic, complemented
23#36956C212yesmaximal, complemented
24#36956C212yesmaximal, complemented
25#36626C211yesmaximal, characteristic, complemented
26#36626C211yesmaximal, characteristic, complemented
27#36529C211yesmaximal, characteristic, complemented
28#36528C211yesmaximal, characteristic, complemented
29#36517C212yesmaximal, complemented
30#36516C212yesmaximal, complemented
31#36483C211yesmaximal, characteristic, complemented
32#36482C211yesmaximal, characteristic, complemented
33#35091C212yesmaximal, complemented
34#34986C212yesmaximal, complemented
35#34370C211yesmaximal, characteristic, complemented
36#3541—216no—
37C2×#563C2212yescomplemented
38C2×#562C2212yescomplemented
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2212yes—
41C2×#554C2211yescharacteristic
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#552C2211yescharacteristic, complemented
45C2×D4×Q8C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic, complemented
48C2×#547C2211yescharacteristic, complemented
49C2×#542C2212yescomplemented
50C2×#542C2211yescharacteristic, complemented
51C2×#541C2211yescharacteristic, complemented
52C2×#539C2212yescomplemented
53C2×#538C2212yes—
54C2×#538C2212yes—
55C2×#537C2211yescharacteristic, complemented
56C2×#536C2211yescharacteristic, complemented
57C2×#529—216no—
58C2×#529C2214yes—
59C2×#529C2212yes—
60C2×#529C2212yes—
61C2×#529C2214yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C22×#126C2212yes—
65C22×#125C2211yescharacteristic
66C22×#124C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C22×#123C2212yes—
70C22×C22⋊Q8C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×C4×D4C2212yes—
74C22×C4×D4C2211yescharacteristic
75C22×#117C2212yes—
76C23×C42C2211yescharacteristic
77#2855C2211yescharacteristic
78#2855C2211yescharacteristic
79#2855C2211yescharacteristic
80#2855C2211yescharacteristic
81#2855C2212yes—
82#2855C2212yescomplemented
83#2855C2212yescomplemented
84#2854C2211yescharacteristic
85#2854C2211yescharacteristic
86#2854C2211yescharacteristic
87#2854C2211yescharacteristic
88#2854C2212yes—
89#2854C2212yescomplemented
90#2854C2212yescomplemented
91#2853C2212yescomplemented
92#2853C2212yescomplemented
93#2853C2214yescomplemented
94#2849C2211yescharacteristic
95#2849C2212yes—
96#2849C2211yescharacteristic
97#2849C2211yescharacteristic
98#2849C2212yes—
99#2849C2211yescharacteristic
100#2848C2212yes—
101#2847C2212yes—
102#2816C2212yes—
103#2815C2212yes—
104#2813C2214yes—
105#2733C2214yescomplemented
106#2731C2214yescomplemented
107#2730C2214yescomplemented
108#2730C2214yescomplemented
109#2727C2214yescomplemented
110#2725C2214yescomplemented
111#2723C2214yescomplemented
112#2721C2214yescomplemented
113#2721C2214yescomplemented
114#2719C2214yescomplemented
115#2718C2214yescomplemented
116#2718C2214yescomplemented
117#2718C2214yescomplemented
118#2718C2214yescomplemented
119#2716C2214yescomplemented
120#2714C2214yescomplemented
121#2710C2214yescomplemented
122#2710C2214yescomplemented
123#2710C2214yescomplemented
124#2710C2214yescomplemented
125#2706C2214yescomplemented
126#2706C2214yescomplemented
127#2706C2214yescomplemented
128#2706C2214yescomplemented
129#2705C2214yescomplemented
130#2703C2214yescomplemented
131#2703C2214yescomplemented
132#2703C2214yescomplemented
133#2703C2214yescomplemented
134#2702C2214yescomplemented
135#2694C2214yescomplemented
136#2690C2214yescomplemented
137#2661C2212yes—
138#2661C2212yes—
139#2635C2214yes—
140#2627C2212yes—
141#2626C2212yes—
142#2624C2212yes—
143#2620C2212yes—
144#2619C2212yes—
145#2618C2212yes—
146#2617C2212yes—
147#2615C2212yes—
148#2613C2212yes—
149#2613C2212yes—
150#2613C2212yes—
151#2613C2212yes—
152#2561C2212yes—
153#2561C2212yes—
154#2561C2212yes—
155#2560C2214yescomplemented
156#2554C2214yescomplemented
157#2552C2212yescomplemented
158#2550C2212yescomplemented
159#2548C2212yescomplemented
160#2545C2212yescomplemented
161#2539C2212yes—
162#2539C2212yes—
163#2539C2212yes—
164#2534C2212yes—
165#2534C2212yes—
166#2534C2212yes—
167#2534C2212yes—
168#2534C2212yes—
169#2534C2212yes—
170#2519C2214yescomplemented
171#2512C2214yescomplemented
172#2503C2211yescharacteristic
173#2503C2212yes—
174#2503C2212yes—
175#2501C2211yescharacteristic
176#2501C2212yes—
177#2501C2212yes—
178#2500C2212yes—
179#2490C2212yescomplemented
180#2489C2212yescomplemented
181#2486C2211yescharacteristic
182#2486C2211yescharacteristic
183#2486C2212yes—
184#2486C2212yes—
185#2486C2212yes—
186#2486C2212yes—
187#2481C2214yescomplemented
188#2479C2214yescomplemented
189#2479C2214yescomplemented
190#2479C2214yescomplemented
191#2477C2214yescomplemented
192#2477C2214yescomplemented
193#2475C2214yescomplemented
194#2475C2214yescomplemented
195#2471C2214yescomplemented
196#2471C2214yescomplemented
197#2469C2214yescomplemented
198#2468C2214yescomplemented
199#2468C2214yescomplemented
200#2467C2214yescomplemented
201#2467C2214yescomplemented
202#2466C2214yescomplemented
203#2466C2214yescomplemented
204#2464C2214yescomplemented
205#2464C2214yescomplemented
206#2463C2214yescomplemented
207#2461C2214yescomplemented
208#2461C2214yescomplemented
209#2460C2214yescomplemented
210#2459C2214yescomplemented
211#2459C2214yescomplemented
212#2457C2214yescomplemented
213#2457C2214yescomplemented
214#2456C2214yescomplemented
215#2456C2214yescomplemented
216#2456C2214yescomplemented
217#2455C2214yescomplemented
218#2455C2214yescomplemented
219#2454C2212yescomplemented
220#2454C2212yescomplemented
221#2453C2212yescomplemented
222#2452C2212yescomplemented
223#2448C2214yescomplemented
224#2448C2212yescomplemented
225#2448C2212yescomplemented
226#2448C2212yescomplemented
227#2446C2214yescomplemented
228#2446C2212yescomplemented
229#2442C2212yescomplemented
230#2441C2212yescomplemented
231#2441C2214yescomplemented
232#2439C2214yescomplemented
233#2436C2212yescomplemented
234#2435C2211yescharacteristic
235#2433C2211yescharacteristic
236#2431C2212yes—
237#2431C2212yescomplemented
238#2428C2212yescomplemented
239#2427C2212yescomplemented
240#2426C2212yescomplemented
241#2426C2212yescomplemented
242#2423C2214yescomplemented
243#2423C2212yescomplemented
244#2421C2214yescomplemented
245#2421C2212yescomplemented
246#2415C2214yescomplemented
247#2414C2212yes—
248#2414C2212yes—
249#2414C2214yescomplemented
250#2408C2211yescharacteristic
251#2408C2211yescharacteristic
252#2378C2214yescomplemented
253#2367C2212yescomplemented
254#2366C2212yescomplemented
255#2363C2214yescomplemented
256#2363C2212yescomplemented
257#2362C2212yescomplemented
258#2362C2212yescomplemented
259#2362C2214yescomplemented
260#2361C2212yescomplemented
261#2354C2214yescomplemented
262#2352C2214yescomplemented
263#2351C2212yescomplemented
264Q8×C4⋊C4C2212yescomplemented
265#2345C2212yes—
266#2345C2212yes—
267#2345C2211yescharacteristic
268#2345C2211yescharacteristic
269#2341C2212yescomplemented
270Q8×C22⋊C4C2211yescharacteristic
271Q8×C22⋊C4C2211yescharacteristic
272Q8×C22⋊C4C2212yescomplemented
273#2332C2214yescomplemented
274#2323C2212yescomplemented
275#2323C2212yescomplemented
276#2322C2212yes—
277#2322C2212yes—
278#2321C2212yes—
279#2321C2212yes—
280#2312C2212yes—
281#2312C2212yes—
282C4×#123C2211yescharacteristic
283C4×#123C2211yescharacteristic
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#123C2211yescharacteristic
287C4×#123C2211yescharacteristic
288C4×#123C2212yes—
289C4×#123C2212yes—
290C4×#123C2214yescomplemented
291C4×#123C2212yescomplemented
292C4×#123C2212yescomplemented
293C4×#120C2212yes—
294C4×#120C2212yes—
295#2297C2212yescomplemented
296#2297C2212yescomplemented
297#2296C2212yescomplemented
298#2296C2212yescomplemented
299#2280C2211yescharacteristic
300#2280C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312#563—216no—
313#562—216no—
314#556—28no—
315#554—28no—
316#554—216no—
317#553—216no—
318#553—28no—
319#552—28no—
320D4×Q8—28no—
321#548—28no—
322#548—28no—
323#547—28no—
324#542—28no—
325#542—216no—
326#541—28no—
327#539—216no—
328#538—216no—
329#538—216no—
330#537—28no—
331#536—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×#127C2312yes—
337#529—216no—
338#529—216no—
339#529—232no—
340#529—216no—
341#529—216no—
342#529—232no—
343C2×#126—216no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#125—28no—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#124—28no—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375#525—28no—
376#525—28no—
377C2×#123—216no—
378C2×#123C2311yescharacteristic
379C2×#123C2311yescharacteristic
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2311yescharacteristic
395C2×#123C2311yescharacteristic
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2311yescharacteristic
399C2×#123C2311yescharacteristic
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×C22⋊Q8D4116yescomplemented
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×#121—28no—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#120C2311yescharacteristic
449C2×#120C2312yes—
450C2×#120C2311yescharacteristic
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×C4×Q8—28no—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×D4—28no—
466C2×C4×D4—216no—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×#117—216no—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2314yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C42—28no—
513C22×C42C2312yes—
514C22×C42C2312yes—
515C22×C42C2311yescharacteristic
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520C22×C42C2312yes—
521C22×C42C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#395C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2312yes—
603#392C2312yes—
604#392C2314yes—
605#392C2314yes—
606#391C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2314yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2314yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#386C2314yes—
727#386C2311yescharacteristic
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2311yescharacteristic
732#386C2311yescharacteristic
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2311yescharacteristic
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#385C2311yescharacteristic
754#385C2312yes—
755#385C2311yescharacteristic
756#385C2314yes—
757#385C2314yes—
758#385C2311yescharacteristic
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2312yes—
768#385C2311yescharacteristic
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#384C2312yes—
775#384C2314yes—
776#384C2314yes—
777#382C2312yes—
778#382C2314yes—
779#382C2314yes—
780#381C2312yes—
781#381C2311yescharacteristic
782#381C2311yescharacteristic
783#381C2312yes—
784#381C2312yes—
785#381C2312yes—
786#381C2312yes—
787#381C2312yes—
788#381C2312yes—
789#381C2311yescharacteristic
790#381C2311yescharacteristic
791#381C2312yes—
792#381C2314yes—
793#381C2312yes—
794#381C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2314yes—
806#380C2312yes—
807#380C2314yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#379C2312yes—
814#379C2312yes—
815#379C2312yes—
816#379C2312yes—
817#379C2311yescharacteristic
818#379C2311yescharacteristic
819#379C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C25C2412yes—
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C22×Q8—24no—
860C22×Q8—44no—
861C22×Q8—44no—
862C22×Q8C2×D418yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—28no—
899C23×C4—44no—
900C23×C4—48no—
901C23×C4—44no—
902C23×C4—42no—
903C23×C4—42no—
904C23×C4C2×D418yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—28no—
934C4⋊Q8—24no—
935#127—44no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#125—28no—
948#125—28no—
949#125—216no—
950#125—28no—
951#125—28no—
952#125—24no—
953#125—28no—
954#125—28no—
955#124—28no—
956#124—28no—
957#124—216no—
958#124—24no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—44no—
965#123—24no—
966#123—24no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—44no—
980#123—48no—
981#123—44no—
982#123—42no—
983#123—42no—
984#123—44no—
985#123—44no—
986#123—44no—
987#123—44no—
988#123—42no—
989#123—42no—
990#123—44no—
991#123—44no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—24no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—48no—
1008C22⋊Q8C2×D418yes—
1009C22⋊Q8C2×D418yes—
1010C22⋊Q8C2×D4116yes—
1011C22⋊Q8C2×D418yes—
1012C22⋊Q8C2×D418yes—
1013C22⋊Q8C2×D4116yes—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—28no—
1023#121—28no—
1024#121—24no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—48no—
1031#121—44no—
1032#121—44no—
1033#120—24no—
1034#120—28no—
1035#120—24no—
1036#120—44no—
1037#120—44no—
1038#120—44no—
1039#120—44no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—216no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—28no—
1047C4×Q8—44no—
1048C4×Q8—44no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—216no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—216no—
1068C4×D4—48no—
1069C4×D4—48no—
1070#117—24no—
1071#117—24no—
1072#117—216no—
1073#117—216no—
1074#117—216no—
1075#117—216no—
1076#117—24no—
1077#117—28no—
1078#117—44no—
1079#117—44no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4C2×D4116yes—
1087C2×C4⋊C4C2×D418yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4C2×D4116yes—
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⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C42—24no—
1230C2×C42—28no—
1231C2×C42—24no—
1232C2×C42—24no—
1233C2×C42—24no—
1234C2×C42—28no—
1235C2×C42—28no—
1236C2×C42—28no—
1237C2×C42—28no—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—22no—
1310C24—22no—
1311C24—24no—
1312C24—24no—
1313C24—24no—
1314C24—42no—
1315C24—42no—
1316C24—44no—
1317C24—44no—
1318C24C22×D414yes—
1319C24C2514yes—
1320C24C2511yescharacteristic
1321C24C2512yes—
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324C24C2511yescharacteristic
1325C24C2511yescharacteristic
1326#41—88no—
1327#41—88no—
1328#41—88no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—42no—
1340C2×Q8—416no—
1341C2×Q8—88no—
1342C2×Q8C22×D414yes—
1343C2×Q8C22×D414yes—
1344C2×Q8C22×D418yes—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—28no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—416no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—432no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—28no—
1420C22×C4—28no—
1421C22×C4—22no—
1422C22×C4—28no—
1423C22×C4—28no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—416no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—432no—
1454C22×C4—416no—
1455C22×C4—416no—
1456C22×C4C22×D414yes—
1457C22×C4C22×D414yes—
1458C22×C4C22×D414yes—
1459C22×C4C22×D414yes—
1460C22×C4C22×D414yes—
1461C22×C4C22×D414yes—
1462C22×C4C22×D418yes—
1463C22×C4C22×D418yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2514yes—
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C4⋊C4—22no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—22no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4C22×D418yes—
1547C4⋊C4C22×D414yes—
1548C4⋊C4C22×D418yes—
1549C4⋊C4C22×D418yes—
1550C4⋊C4C22×D418yes—
1551C4⋊C4C22×D414yes—
1552C4⋊C4C22×D418yes—
1553C22⋊C4—22no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4C22×D418yes—
1625C22⋊C4C22×D418yes—
1626C22⋊C4C22×D418yes—
1627C22⋊C4C22×D418yes—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—28no—
1637C42—28no—
1638C42—24no—
1639C42—22no—
1640C42—22no—
1641C42—24no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—44no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42—44no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—28no—
1663C23—24no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—24no—
1675C23—24no—
1676C23—21no—
1677C23—21no—
1678C23—24no—
1679C23—24no—
1680C23—24no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—24no—
1685C23—44no—
1686C23—44no—
1687C23—48no—
1688C23—48no—
1689C23—48no—
1690C23—48no—
1691C23—48no—
1692C23—88no—
1693C23—88no—
1694C23C23×D412yes—
1695C23C23×D412yes—
1696C23C23×D412yes—
1697C23#58512yes—
1698C23#58512yes—
1699C23C2611yescharacteristic
1700Q8—28no—
1701Q8—28no—
1702Q8—48no—
1703Q8—44no—
1704Q8—84no—
1705Q8—84no—
1706Q8—82no—
1707D4—48no—
1708D4—416no—
1709D4—416no—
1710D4—44no—
1711D4—44no—
1712D4—48no—
1713D4—48no—
1714D4—44no—
1715D4—84no—
1716D4—82no—
1717D4—84no—
1718D4—82no—
1719D4—84no—
1720D4—82no—
1721D4—82no—
1722D4—82no—
1723D4—84no—
1724D4—88no—
1725D4—88no—
1726D4—164no—
1727D4—164no—
1728C2×C4—28no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—28no—
1739C2×C4—28no—
1740C2×C4—28no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—416no—
1798C2×C4—416no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—48no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—84no—
1810C2×C4—84no—
1811C2×C4—84no—
1812C2×C4—84no—
1813C2×C4—84no—
1814C2×C4C23×D412yes—
1815C2×C4C23×D412yes—
1816C2×C4C23×D412yes—
1817C2×C4C23×D414yes—
1818C2×C4C23×D414yes—
1819C2×C4C23×D414yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D412yes—
1822C2×C4#58514yes—
1823C2×C4#58514yes—
1824C22—24no—
1825C22—22no—
1826C22—22no—
1827C22—24no—
1828C22—22no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—416no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—44no—
1842C22—44no—
1843C22—42no—
1844C22—41no—
1845C22—41no—
1846C22—42no—
1847C22—44no—
1848C22—44no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—44no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—44no—
1858C22—44no—
1859C22—42no—
1860C22—44no—
1861C22—816no—
1862C22#348714yes—
1863C22C24×D411yescharacteristic
1864C22C2×#58511yescharacteristic
1865C22C2×#58512yes—
1866C22C2×#58512yes—
1867C22C2×#58511yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—24no—
1872C4—24no—
1873C4—24no—
1874C4—24no—
1875C4—24no—
1876C4—42no—
1877C4—44no—
1878C4—42no—
1879C4—41no—
1880C4—41no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—44no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—41no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—44no—
1894C4—42no—
1895C4#348514yes—
1896C2—24no—
1897C2—42no—
1898C2—42no—
1899C2—81no—
1900C2—82no—
1901C2—81no—
1902C2—84no—
1903C2#6274312yes—
1904C2C2×#348511yescharacteristic
1905C2C2×#348711yescharacteristic
1906C2#6281111yescharacteristic
1907C2#6282712yes—
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×#3541C2semidirect
2. C22×#529C2semidirect
3. #59120C2semidirect
4. #59118C2semidirect
5. #59104C2semidirect
6. #59102C2semidirect
7. #45767C2semidirect
8. #45766C2semidirect
9. #39135C2semidirect
10. #39134C2semidirect
11. #39129C2semidirect
12. #39123C2semidirect
13. #39122C2semidirect
14. #39117C2semidirect
15. #37799C2semidirect
16. #37797C2semidirect
17. #37787C2semidirect
18. #37785C2semidirect
19. #37743C2semidirect
20. #37741C2semidirect
21. #37448C2semidirect
22. #37437C2semidirect
23. #36956C2semidirect
24. #36956C2semidirect
25. #36626C2semidirect
26. #36626C2semidirect
27. #36529C2semidirect
28. #36528C2semidirect
29. #36517C2semidirect
30. #36516C2semidirect
31. #36483C2semidirect
32. #36482C2semidirect
33. #35091C2semidirect
34. #34986C2semidirect
35. #34370C2semidirect
37. C2×#563C22semidirect
38. C2×#562C22semidirect
39. C2×#556C22semidirect
44. C2×#552C22semidirect
47. C2×#548C22semidirect
48. C2×#547C22semidirect
49. C2×#542C22semidirect
50. C2×#542C22semidirect
51. C2×#541C22semidirect
52. C2×#539C22semidirect
55. C2×#537C22semidirect
56. C2×#536C22semidirect
82. #2855C22semidirect
83. #2855C22semidirect
89. #2854C22semidirect
90. #2854C22semidirect
91. #2853C22semidirect
92. #2853C22semidirect
93. #2853C22semidirect
105. #2733C22semidirect
106. #2731C22semidirect
107. #2730C22semidirect
108. #2730C22semidirect
109. #2727C22semidirect
110. #2725C22semidirect
111. #2723C22semidirect
112. #2721C22semidirect
113. #2721C22semidirect
114. #2719C22semidirect
115. #2718C22semidirect
116. #2718C22semidirect
117. #2718C22semidirect
118. #2718C22semidirect
119. #2716C22semidirect
120. #2714C22semidirect
121. #2710C22semidirect
122. #2710C22semidirect
123. #2710C22semidirect
124. #2710C22semidirect
125. #2706C22semidirect
126. #2706C22semidirect
127. #2706C22semidirect
128. #2706C22semidirect
129. #2705C22semidirect
130. #2703C22semidirect
131. #2703C22semidirect
132. #2703C22semidirect
133. #2703C22semidirect
134. #2702C22semidirect
135. #2694C22semidirect
136. #2690C22semidirect
155. #2560C22semidirect
156. #2554C22semidirect
157. #2552C22semidirect
158. #2550C22semidirect
159. #2548C22semidirect
160. #2545C22semidirect
170. #2519C22semidirect
171. #2512C22semidirect
179. #2490C22semidirect
180. #2489C22semidirect
187. #2481C22semidirect
188. #2479C22semidirect
189. #2479C22semidirect
190. #2479C22semidirect
191. #2477C22semidirect
192. #2477C22semidirect
193. #2475C22semidirect
194. #2475C22semidirect
195. #2471C22semidirect
196. #2471C22semidirect
197. #2469C22semidirect
198. #2468C22semidirect
199. #2468C22semidirect
200. #2467C22semidirect
201. #2467C22semidirect
202. #2466C22semidirect
203. #2466C22semidirect
204. #2464C22semidirect
205. #2464C22semidirect
206. #2463C22semidirect
207. #2461C22semidirect
208. #2461C22semidirect
209. #2460C22semidirect
210. #2459C22semidirect
211. #2459C22semidirect
212. #2457C22semidirect
213. #2457C22semidirect
214. #2456C22semidirect
215. #2456C22semidirect
216. #2456C22semidirect
217. #2455C22semidirect
218. #2455C22semidirect
219. #2454C22semidirect
220. #2454C22semidirect
221. #2453C22semidirect
222. #2452C22semidirect
223. #2448C22semidirect
224. #2448C22semidirect
225. #2448C22semidirect
226. #2448C22semidirect
227. #2446C22semidirect
228. #2446C22semidirect
229. #2442C22semidirect
230. #2441C22semidirect
231. #2441C22semidirect
232. #2439C22semidirect
233. #2436C22semidirect
237. #2431C22semidirect
238. #2428C22semidirect
239. #2427C22semidirect
240. #2426C22semidirect
241. #2426C22semidirect
242. #2423C22semidirect
243. #2423C22semidirect
244. #2421C22semidirect
245. #2421C22semidirect
246. #2415C22semidirect
249. #2414C22semidirect
252. #2378C22semidirect
253. #2367C22semidirect
254. #2366C22semidirect
255. #2363C22semidirect
256. #2363C22semidirect
257. #2362C22semidirect
258. #2362C22semidirect
259. #2362C22semidirect
260. #2361C22semidirect
261. #2354C22semidirect
262. #2352C22semidirect
263. #2351C22semidirect
264. Q8×C4⋊C4C22semidirect
269. #2341C22semidirect
272. Q8×C22⋊C4C22semidirect
273. #2332C22semidirect
274. #2323C22semidirect
275. #2323C22semidirect
290. C4×#123C22semidirect
291. C4×#123C22semidirect
292. C4×#123C22semidirect
295. #2297C22semidirect
296. #2297C22semidirect
297. #2296C22semidirect
298. #2296C22semidirect
405. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
C22×#5292
#591202
#591182
#591042
#591022
#457672
#457662
#391352
#391342
#391292
#391232
#391222
#391172
#377992
#377972
#377872
#377852
#377432
#377412
#374482
#374372
#369562
#366262
#365292
#365282
#365172
#365162
#364832
#364822
#350912
#349862
#343702