Finite Group Databasebeta

← #7631628

Subgroups — #7631628

Order 512.

7214 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×#3493C211yesmaximal, characteristic, complemented
3#36518C212yesmaximal, complemented
4#36508C212yesmaximal, complemented
5#36473C212yesmaximal, complemented
6#36471C212yesmaximal, complemented
7#36269C212yesmaximal, complemented
8#36268C212yesmaximal, complemented
9#36186C212yesmaximal, complemented
10#36185C212yesmaximal, complemented
11#36051C212yesmaximal, complemented
12#36048C212yesmaximal, complemented
13#36028C212yesmaximal, complemented
14#36015C212yesmaximal, complemented
15#35949C212yesmaximal, complemented
16#35856C212yesmaximal, complemented
17#35834C212yesmaximal, complemented
18#35773C212yesmaximal, complemented
19#35634C211yesmaximal, characteristic, complemented
20#35633C211yesmaximal, characteristic, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35465C214yesmaximal, complemented
24#35464C214yesmaximal, complemented
25#35312C211yesmaximal, characteristic, complemented
26#35308C211yesmaximal, characteristic, complemented
27#35009C214yesmaximal, complemented
28#34813C211yesmaximal, characteristic, complemented
29#34763C214yesmaximal, complemented
30#34743C211yesmaximal, characteristic, complemented
31#34274C211yesmaximal, characteristic, complemented
32#34266C211yesmaximal, characteristic, complemented
33#34201C211yesmaximal, characteristic, complemented
34C2×#2362C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36#3507—216no—
37#3493—216no—
38C2×#559C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#556C2212yes—
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#556C2212yescomplemented
45C2×#555C2212yes—
46C2×#555C2212yes—
47C2×#554C2212yescomplemented
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×#552C2212yescomplemented
53C2×#552C2212yescomplemented
54C2×#544C2211yescharacteristic
55C2×#539C2214yes—
56C2×#538C2214yes—
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#529C2214yes—
65C2×#529C2214yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2862C2212yescomplemented
78#2861C2214yes—
79#2861C2212yescomplemented
80#2860C2214yes—
81#2857C2212yescomplemented
82#2854C2214yes—
83#2850C2214yes—
84#2850C2212yescomplemented
85#2664C2214yes—
86#2663C2214yes—
87#2662C2214yes—
88#2661C2214yes—
89#2642C2212yescomplemented
90#2640C2212yescomplemented
91#2621C2212yescomplemented
92#2620C2212yescomplemented
93#2611C2214yescomplemented
94#2610C2214yes—
95#2604C2214yes—
96#2604C2214yescomplemented
97#2602C2214yes—
98#2602C2214yescomplemented
99#2601C2214yes—
100#2601C2214yescomplemented
101#2584C2212yescomplemented
102#2584C2212yescomplemented
103#2567C2212yescomplemented
104#2565C2214yescomplemented
105#2564C2214yescomplemented
106#2560C2214yes—
107#2560C2214yescomplemented
108#2559C2214yes—
109#2559C2214yes—
110#2558C2214yes—
111#2558C2214yes—
112#2557C2214yes—
113#2557C2214yescomplemented
114#2556C2214yescomplemented
115#2555C2214yes—
116#2554C2214yes—
117#2553C2214yescomplemented
118#2552C2212yescomplemented
119#2551C2212yescomplemented
120#2550C2212yescomplemented
121#2550C2212yescomplemented
122#2549C2214yes—
123#2546C2212yescomplemented
124#2545C2214yes—
125#2543C2214yes—
126#2543C2214yes—
127#2542C2212yes—
128#2542C2212yes—
129#2542C2212yes—
130#2542C2212yes—
131#2540C2212yes—
132#2540C2212yes—
133#2540C2212yes—
134#2540C2212yes—
135#2539C2214yes—
136#2534C2214yes—
137#2521C2214yes—
138#2521C2214yes—
139#2521C2214yescomplemented
140#2521C2214yescomplemented
141#2521C2214yescomplemented
142#2519C2214yes—
143#2519C2214yes—
144#2519C2214yescomplemented
145#2519C2214yescomplemented
146#2519C2214yescomplemented
147#2512C2214yes—
148#2512C2214yescomplemented
149#2506C2214yescomplemented
150#2506C2214yescomplemented
151#2501C2214yes—
152#2500C2214yes—
153#2499C2214yescomplemented
154#2498C2214yes—
155#2498C2214yescomplemented
156#2496C2214yescomplemented
157#2496C2214yescomplemented
158#2492C2211yescharacteristic
159#2492C2211yescharacteristic
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2491C2214yes—
163#2491C2211yescharacteristic
164#2491C2211yescharacteristic
165#2491C2214yescomplemented
166#2490C2211yescharacteristic
167#2490C2211yescharacteristic
168#2489C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2212yescomplemented
171#2489C2212yescomplemented
172#2488C2212yes—
173#2488C2214yes—
174#2488C2214yes—
175#2488C2212yes—
176#2486C2214yes—
177#2472C2212yes—
178#2472C2212yes—
179#2464C2214yes—
180#2461C2214yes—
181#2440C2214yes—
182#2429C2212yes—
183#2429C2212yes—
184#2429C2211yescharacteristic
185#2429C2211yescharacteristic
186#2429C2212yescomplemented
187#2429C2212yescomplemented
188#2429C2212yescomplemented
189#2428C2211yescharacteristic
190#2428C2211yescharacteristic
191#2428C2212yescomplemented
192#2427C2211yescharacteristic
193#2427C2212yes—
194#2427C2212yes—
195#2427C2211yescharacteristic
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2211yescharacteristic
200#2426C2211yescharacteristic
201#2426C2212yescomplemented
202#2425C2212yes—
203#2425C2214yes—
204#2425C2212yes—
205#2425C2214yes—
206#2424C2212yes—
207#2424C2212yes—
208#2417C2212yes—
209#2417C2212yes—
210#2417C2212yescomplemented
211#2416C2214yes—
212#2416C2212yescomplemented
213#2415C2212yes—
214#2415C2212yes—
215#2415C2212yescomplemented
216#2414C2212yescomplemented
217#2398C2212yes—
218#2398C2212yes—
219#2396C2214yescomplemented
220#2396C2214yescomplemented
221#2395C2214yescomplemented
222#2395C2214yescomplemented
223#2392C2212yes—
224#2392C2212yes—
225#2367C2212yescomplemented
226#2367C2212yescomplemented
227#2365C2212yescomplemented
228#2365C2212yescomplemented
229#2363C2212yes—
230#2363C2212yes—
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2362C2212yescomplemented
246#2362C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2360C2212yescomplemented
250#2360C2212yescomplemented
251#2360C2212yescomplemented
252#2360C2212yescomplemented
253#2354C2212yes—
254#2354C2212yes—
255#2352C2212yes—
256#2352C2212yes—
257#2325C2214yes—
258#2322C2214yes—
259#2321C2214yes—
260#2317C2211yescharacteristic
261#2316C2211yescharacteristic
262#2311C2211yescharacteristic
263#2310C2211yescharacteristic
264C4×C4⋊Q8C2214yescomplemented
265C4×#124C2212yes—
266C4×#124C2212yes—
267C4×#123C2214yes—
268C4×#123C2214yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2214yes—
272C4×#121C2214yescomplemented
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2296C2211yescharacteristic
277C2×#391C2211yescharacteristic
278#2293C2214yescomplemented
279C2×#389C2211yescharacteristic
280C2×#388C2212yes—
281C2×#388C2212yes—
282C2×#387C2212yes—
283#2285C2214yescomplemented
284#2280C2211yescharacteristic
285#2276C2212yescomplemented
286#2275C2214yes—
287#2275C2212yescomplemented
288#2274C2211yescharacteristic
289#2274C2211yescharacteristic
290#2274C2212yescomplemented
291#2274C2212yescomplemented
292C42×Q8C2212yescomplemented
293C42×D4C2214yes—
294C42×D4C2212yescomplemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4×C4⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C24×C4C2311yescharacteristic
306#559—216no—
307#557—216no—
308#556—216no—
309#556—216no—
310#556—216no—
311#556—216no—
312#556—216no—
313#555—216no—
314#555—216no—
315#554—216no—
316#553—216no—
317#553—216no—
318#552—216no—
319#552—216no—
320#552—216no—
321#552—216no—
322#544—28no—
323#539—232no—
324#538—232no—
325#537—28no—
326#537—28no—
327#536—28no—
328#536—28no—
329#536—28no—
330#533—28no—
331#532—28no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×#127C2311yescharacteristic
342#529—232no—
343#529—232no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371#525—28no—
372#525—28no—
373#525—28no—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8—28no—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#120C2312yes—
430C2×#120C2312yes—
431C2×#120C2312yes—
432#520—28no—
433#520—28no—
434#520—28no—
435#520D4116yescomplemented
436C4×#41—28no—
437C2×C4×Q8—28no—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×#117—28no—
476C2×#117C2311yescharacteristic
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2311yescharacteristic
507C22×C22⋊C4C2311yescharacteristic
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2314yes—
514C22×C42C2312yes—
515#400C2314yes—
516#400C2314yes—
517#400C2312yes—
518#400C2314yes—
519#400C2314yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2312yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2314yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#396C2312yes—
559#396C2312yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#393C2312yes—
585#393C2312yes—
586#393C2312yes—
587#393C2314yes—
588#393C2314yes—
589#393C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2312yes—
594#392C2314yes—
595#391C2314yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#384C2314yes—
750#384C2314yes—
751#384C2312yes—
752#384C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2314yes—
756#382C2314yes—
757#382C2312yes—
758#381C2314yes—
759#381C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840#376C2314yes—
841#376C2312yes—
842C2×#95C2314yes—
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C43C2314yes—
850C43C2312yes—
851C25C2411yescharacteristic
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41C2×D418yes—
861C22×Q8—24no—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C23×C4—24no—
889C23×C4—24no—
890C23×C4—24no—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—48no—
923#127—24no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#125—216no—
933#125—216no—
934#125—24no—
935#125—24no—
936#125—216no—
937#125—28no—
938#125—216no—
939#125—28no—
940#124—24no—
941#124—24no—
942#124—28no—
943#124—216no—
944#124—216no—
945#124—216no—
946#124—28no—
947#124—216no—
948#124—28no—
949#124—44no—
950#124—44no—
951#123—28no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—28no—
957#123—216no—
958#123—216no—
959#123—28no—
960#123—216no—
961C22⋊Q8—24no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—28no—
986#121—24no—
987#121—24no—
988#121—28no—
989#121—216no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—216no—
995#121—24no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—44no—
1003#121—44no—
1004#121—48no—
1005#120—28no—
1006#120—28no—
1007#120—28no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—216no—
1018C4×Q8—216no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8C2×D4116yes—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—216no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—48no—
1043C4×D4C2×D4132yes—
1044C4×D4C2×D4116yes—
1045#117—24no—
1046#117—24no—
1047#117—216no—
1048#117—216no—
1049#117—24no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—28no—
1057#117—216no—
1058#117—216no—
1059#117—28no—
1060#117C2×D418yes—
1061#117C2×D4116yes—
1062#117#4118yes—
1063C2×C4⋊C4—24no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—44no—
1070C2×C4⋊C4C2×D418yes—
1071C2×C4⋊C4C2×D4116yes—
1072C2×C4⋊C4#4118yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C22⋊C4—28no—
1135C2×C22⋊C4—28no—
1136C2×C22⋊C4—42no—
1137C2×C22⋊C4—42no—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C42—28no—
1206C2×C42—28no—
1207C2×C42—24no—
1208C2×C42—24no—
1209C2×C42—28no—
1210C2×C42—44no—
1211C2×C42—48no—
1212C2×C42C2414yes—
1213C2×C42C2414yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2414yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2414yes—
1249#95C2414yes—
1250#95C2411yescharacteristic
1251#95C2414yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299C24—22no—
1300C24—22no—
1301C24—22no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24C2511yescharacteristic
1307C24C2511yescharacteristic
1308C24C2512yes—
1309C24C2512yes—
1310C24C2512yes—
1311C24C2511yescharacteristic
1312#41—232no—
1313#41—416no—
1314#41—416no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—24no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—28no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—44no—
1336C2×Q8—42no—
1337C2×Q8—44no—
1338C2×Q8—416no—
1339C2×Q8C22×D414yes—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4C22×D418yes—
1387C2×D4C22×D414yes—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—28no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—41no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—41no—
1436C22×C4—44no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—416no—
1451C22×C4C22×D418yes—
1452C22×C4C22×D418yes—
1453C22×C4C22×D4116yes—
1454C22×C4C22×D414yes—
1455C22×C4C2×#4118yes—
1456C22×C4C2×#4114yes—
1457C22×C4C2×#4114yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2514yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2514yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—24no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4C22×D418yes—
1540C4⋊C4C22×D418yes—
1541C4⋊C4C22×D414yes—
1542C4⋊C4C22×D4116yes—
1543C4⋊C4C22×D414yes—
1544C4⋊C4C2×#4118yes—
1545C4⋊C4C2×#4118yes—
1546C4⋊C4C2×#4114yes—
1547C4⋊C4C2×#4114yes—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4C22×D418yes—
1613C22⋊C4C22×D4116yes—
1614C22⋊C4C2×#4118yes—
1615C42—28no—
1616C42—28no—
1617C42—28no—
1618C42—22no—
1619C42—22no—
1620C42—28no—
1621C42—22no—
1622C42—22no—
1623C42—28no—
1624C42—28no—
1625C42—24no—
1626C42—24no—
1627C42—22no—
1628C42—22no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—22no—
1633C42—28no—
1634C42—24no—
1635C42—28no—
1636C42—24no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—42no—
1642C42—42no—
1643C42—42no—
1644C42—44no—
1645C42C22×D4116yes—
1646C42C22×D418yes—
1647C42C2×#4118yes—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—21no—
1685C23—21no—
1686C23—44no—
1687C23—44no—
1688C23—44no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23—82no—
1693C23C23×D414yes—
1694C23C23×D412yes—
1695C23C22×#4112yes—
1696C23C22×#4112yes—
1697C23C2611yescharacteristic
1698Q8—28no—
1699Q8—48no—
1700Q8—48no—
1701Q8—48no—
1702Q8—44no—
1703Q8—44no—
1704Q8—84no—
1705Q8—88no—
1706D4—216no—
1707D4—28no—
1708D4—48no—
1709D4—48no—
1710D4—48no—
1711D4—44no—
1712D4—44no—
1713D4—84no—
1714D4—84no—
1715D4—84no—
1716D4—84no—
1717D4—88no—
1718D4—84no—
1719D4—84no—
1720D4—88no—
1721D4—84no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—216no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—48no—
1796C2×C4—416no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—88no—
1810C2×C4—88no—
1811C2×C4—84no—
1812C2×C4—88no—
1813C2×C4—82no—
1814C2×C4—84no—
1815C2×C4—82no—
1816C2×C4#532116yes—
1817C2×C4C23×D418yes—
1818C2×C4C23×D414yes—
1819C2×C4C23×D414yes—
1820C2×C4C23×D414yes—
1821C2×C4C23×D412yes—
1822C2×C4C23×D412yes—
1823C2×C4C22×#4114yes—
1824C2×C4C22×#4114yes—
1825C2×C4C22×#4118yes—
1826C2×C4C22×#4112yes—
1827C2×C4C22×#4112yes—
1828C2×C4C22×#4112yes—
1829C2×C4C22×#4112yes—
1830C2×C4#58512yes—
1831C2×C4#58512yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—24no—
1839C22—24no—
1840C22—24no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—42no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—42no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—42no—
1862C22—42no—
1863C22—41no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—42no—
1872C22—42no—
1873C22—88no—
1874C22C2×#53214yes—
1875C22C24×D411yescharacteristic
1876C22C23×#4111yescharacteristic
1877C22C23×#4111yescharacteristic
1878C22C2×#58511yescharacteristic
1879C22C2×#58511yescharacteristic
1880C222−1+611yescharacteristic
1881C222−1+611yescharacteristic
1882C4—28no—
1883C4—24no—
1884C4—22no—
1885C4—24no—
1886C4—22no—
1887C4—24no—
1888C4—24no—
1889C4—28no—
1890C4—24no—
1891C4—42no—
1892C4—42no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—44no—
1898C4—42no—
1899C4—42no—
1900C4—41no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4C2×#53214yes—
1910C4C2×#53214yes—
1911C2—24no—
1912C2—44no—
1913C2—82no—
1914C2—82no—
1915C2—81no—
1916C2—81no—
1917C2C22×#53211yescharacteristic
1918C2#6278111yescharacteristic
1919C2#6285011yescharacteristic
1920C2#6298811yescharacteristic
1921C2#6299311yescharacteristic
1922C2#6300211yescharacteristic
1923C2#6300911yescharacteristic
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×#3507C2semidirect
2. C2×#3493C2semidirect
3. #36518C2semidirect
4. #36508C2semidirect
5. #36473C2semidirect
6. #36471C2semidirect
7. #36269C2semidirect
8. #36268C2semidirect
9. #36186C2semidirect
10. #36185C2semidirect
11. #36051C2semidirect
12. #36048C2semidirect
13. #36028C2semidirect
14. #36015C2semidirect
15. #35949C2semidirect
16. #35856C2semidirect
17. #35834C2semidirect
18. #35773C2semidirect
19. #35634C2semidirect
20. #35633C2semidirect
21. #35566C2semidirect
22. #35564C2semidirect
23. #35465C2semidirect
24. #35464C2semidirect
25. #35312C2semidirect
26. #35308C2semidirect
27. #35009C2semidirect
28. #34813C2semidirect
29. #34763C2semidirect
30. #34743C2semidirect
31. #34274C2semidirect
32. #34266C2semidirect
33. #34201C2semidirect
34. C2×#2362C2semidirect
35. C4×#520C2semidirect
38. C2×#559C22semidirect
39. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
47. C2×#554C22semidirect
52. C2×#552C22semidirect
53. C2×#552C22semidirect
77. #2862C22semidirect
79. #2861C22semidirect
81. #2857C22semidirect
84. #2850C22semidirect
89. #2642C22semidirect
90. #2640C22semidirect
91. #2621C22semidirect
92. #2620C22semidirect
93. #2611C22semidirect
96. #2604C22semidirect
98. #2602C22semidirect
100. #2601C22semidirect
101. #2584C22semidirect
102. #2584C22semidirect
103. #2567C22semidirect
104. #2565C22semidirect
105. #2564C22semidirect
107. #2560C22semidirect
113. #2557C22semidirect
114. #2556C22semidirect
117. #2553C22semidirect
118. #2552C22semidirect
119. #2551C22semidirect
120. #2550C22semidirect
121. #2550C22semidirect
123. #2546C22semidirect
139. #2521C22semidirect
140. #2521C22semidirect
141. #2521C22semidirect
144. #2519C22semidirect
145. #2519C22semidirect
146. #2519C22semidirect
148. #2512C22semidirect
149. #2506C22semidirect
150. #2506C22semidirect
153. #2499C22semidirect
155. #2498C22semidirect
156. #2496C22semidirect
157. #2496C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
165. #2491C22semidirect
170. #2489C22semidirect
171. #2489C22semidirect
186. #2429C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
191. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
201. #2426C22semidirect
210. #2417C22semidirect
212. #2416C22semidirect
215. #2415C22semidirect
216. #2414C22semidirect
219. #2396C22semidirect
220. #2396C22semidirect
221. #2395C22semidirect
222. #2395C22semidirect
225. #2367C22semidirect
226. #2367C22semidirect
227. #2365C22semidirect
228. #2365C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2360C22semidirect
250. #2360C22semidirect
251. #2360C22semidirect
252. #2360C22semidirect
264. C4×C4⋊Q8C22semidirect
272. C4×#121C22semidirect
278. #2293C22semidirect
283. #2285C22semidirect
285. #2276C22semidirect
287. #2275C22semidirect
290. #2274C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
296. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
435. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C2×#34932
#365182
#365082
#364732
#364712
#362692
#362682
#361862
#361852
#360512
#360482
#360282
#360152
#359492
#358562
#358342
#357732
#356342
#356332
#355662
#355642
#354652
#354642
#353122
#353082
#350092
#348132
#347632
#347432
#342742
#342662
#342012
C2×#23622
C4×#5202