Finite Group Databasebeta

← #7780464

Subgroups — #7780464

Order 512.

7016 conjugacy classes of subgroups.

The subgroup lattice has 1905 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3562C212yesmaximal, complemented
2#59827C211yesmaximal, characteristic, complemented
3#59826C212yesmaximal, complemented
4#59815C211yesmaximal, characteristic, complemented
5#59654C211yesmaximal, characteristic, complemented
6#59428C211yesmaximal, characteristic, complemented
7#59198C212yesmaximal, complemented
8#51578C214yesmaximal, complemented
9#48810C214yesmaximal, complemented
10#46374C214yesmaximal, complemented
11#46370C214yesmaximal, complemented
12#45482C212yesmaximal, complemented
13#45478C212yesmaximal, complemented
14#45307C212yesmaximal, complemented
15#45141C212yesmaximal, complemented
16#42926C212yesmaximal, complemented
17#42673C212yesmaximal, complemented
18#39410C212yesmaximal, complemented
19#39378C211yesmaximal, characteristic, complemented
20#39376C212yesmaximal, complemented
21#39360C211yesmaximal, characteristic, complemented
22#39349C212yesmaximal, complemented
23#39349C212yesmaximal, complemented
24#37750C212yesmaximal, complemented
25#37700C212yesmaximal, complemented
26#37378C212yesmaximal, complemented
27#36444C211yesmaximal, characteristic, complemented
28#36259C211yesmaximal, characteristic, complemented
29#36153C211yesmaximal, characteristic, complemented
30#36153C211yesmaximal, characteristic, complemented
31#36127C211yesmaximal, characteristic, complemented
32#36114C211yesmaximal, characteristic, complemented
33#35319C211yesmaximal, characteristic, complemented
34#34914C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3562—232no—
37C2×#562C2214yes—
38C2×#560C2214yes—
39C2×#559C2212yes—
40C2×#556C2212yes—
41C2×#553C2214yes—
42C2×#551C2214yes—
43C2×#550C2212yes—
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2212yes—
46C2×#548C2212yes—
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49C2×#547C2211yescharacteristic
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#541C2212yes—
54C2×#540C2214yes—
55C2×#540C2212yes—
56C2×#539C2214yes—
57C2×#538C2214yes—
58C2×#538C2214yes—
59C2×#536C2212yes—
60C2×#535C2211yescharacteristic
61C2×#532C2212yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×C4×#41C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66#2868C2211yescharacteristic, complemented
67#2859C2211yescharacteristic, complemented
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2857C2212yescomplemented
71#2857C2212yescomplemented
72#2854C2212yescomplemented
73#2851C2212yescomplemented
74#2847C2212yes—
75#2847C2212yes—
76#2814C2214yescomplemented
77#2812C2214yes—
78#2726C2214yescomplemented
79#2725C2214yescomplemented
80#2724C2214yes—
81#2724C2214yescomplemented
82#2722C2214yes—
83#2717C2214yes—
84#2715C2214yes—
85#2715C2214yescomplemented
86#2709C2214yescomplemented
87#2709C2214yescomplemented
88#2708C2214yes—
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2707C2214yescomplemented
92#2704C2214yescomplemented
93#2701C2214yes—
94#2701C2214yes—
95#2701C2214yescomplemented
96#2701C2214yescomplemented
97#2700C2214yescomplemented
98#2699C2214yes—
99#2695C2214yes—
100#2695C2214yescomplemented
101#2693C2214yescomplemented
102#2691C2214yes—
103#2691C2214yescomplemented
104#2689C2214yescomplemented
105#2689C2214yescomplemented
106#2689C2214yescomplemented
107#2688C2214yes—
108#2688C2214yescomplemented
109#2688C2214yescomplemented
110#2687C2214yescomplemented
111#2686C2214yes—
112#2686C2214yescomplemented
113#2686C2214yescomplemented
114#2682C2214yescomplemented
115#2681C2214yescomplemented
116#2680C2214yescomplemented
117#2680C2214yescomplemented
118#2642C2212yescomplemented
119#2630C2214yescomplemented
120#2629C2212yescomplemented
121#2627C2214yescomplemented
122#2622C2214yes—
123#2622C2214yes—
124#2621C2212yes—
125#2621C2212yescomplemented
126#2582C2212yescomplemented
127#2581C2212yescomplemented
128#2579C2214yescomplemented
129#2560C2212yescomplemented
130#2559C2212yes—
131#2558C2212yescomplemented
132#2557C2212yes—
133#2547C2211yescharacteristic
134#2547C2211yescharacteristic
135#2547C2212yes—
136#2547C2211yescharacteristic, complemented
137#2547C2212yescomplemented
138#2546C2211yescharacteristic, complemented
139#2541C2212yescomplemented
140#2538C2212yescomplemented
141#2538C2211yescharacteristic, complemented
142#2537C2211yescharacteristic
143#2537C2211yescharacteristic
144#2537C2212yes—
145#2537C2212yescomplemented
146#2537C2212yescomplemented
147#2537C2211yescharacteristic, complemented
148#2536C2212yescomplemented
149#2512C2211yescharacteristic, complemented
150#2506C2212yescomplemented
151#2506C2211yescharacteristic, complemented
152#2506C2212yescomplemented
153#2506C2212yescomplemented
154#2506C2212yescomplemented
155#2496C2212yes—
156#2496C2211yescharacteristic
157#2496C2212yes—
158#2496C2212yes—
159#2496C2212yes—
160#2496C2212yescomplemented
161#2496C2212yescomplemented
162#2496C2212yescomplemented
163#2491C2211yescharacteristic
164#2491C2212yescomplemented
165#2486C2212yes—
166#2486C2212yes—
167#2486C2212yes—
168#2486C2212yescomplemented
169#2486C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2483C2214yes—
173#2478C2214yescomplemented
174#2476C2214yescomplemented
175#2470C2214yescomplemented
176#2470C2214yescomplemented
177#2466C2214yescomplemented
178#2466C2214yescomplemented
179#2461C2214yescomplemented
180#2457C2214yescomplemented
181#2452C2211yescharacteristic, complemented
182#2450C2214yescomplemented
183#2450C2214yescomplemented
184#2447C2212yes—
185#2447C2212yes—
186#2447C2214yescomplemented
187#2447C2212yescomplemented
188#2446C2212yescomplemented
189#2445C2214yescomplemented
190#2445C2211yescharacteristic, complemented
191#2444C2214yescomplemented
192#2444C2214yescomplemented
193#2444C2214yescomplemented
194#2444C2214yescomplemented
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2440C2212yescomplemented
198#2440C2212yescomplemented
199#2438C2214yescomplemented
200#2438C2214yescomplemented
201#2434C2212yescomplemented
202#2432C2212yes—
203#2432C2212yes—
204#2432C2212yescomplemented
205#2429C2212yescomplemented
206#2428C2211yescharacteristic
207#2428C2212yescomplemented
208#2427C2214yes—
209#2427C2212yes—
210#2427C2212yes—
211#2427C2212yescomplemented
212#2425C2214yes—
213#2425C2214yes—
214#2425C2214yes—
215#2422C2211yescharacteristic
216#2422C2212yescomplemented
217#2422C2214yescomplemented
218#2422C2214yescomplemented
219#2422C2212yescomplemented
220#2422C2212yescomplemented
221#2421C2212yescomplemented
222#2420C2212yes—
223#2420C2212yes—
224#2420C2212yescomplemented
225#2419C2214yescomplemented
226#2419C2214yescomplemented
227#2419C2214yescomplemented
228#2419C2214yescomplemented
229#2417C2212yes—
230#2417C2212yes—
231#2416C2212yes—
232#2416C2212yes—
233#2416C2212yes—
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2415C2212yes—
239#2415C2212yes—
240#2415C2214yescomplemented
241#2413C2214yescomplemented
242#2412C2214yes—
243#2412C2214yes—
244#2409C2212yescomplemented
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yescomplemented
248#2398C2212yescomplemented
249#2392C2212yes—
250#2361C2212yescomplemented
251#2361C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yescomplemented
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2211yescharacteristic, complemented
259D4×C4⋊C4C2212yescomplemented
260#2344C2212yescomplemented
261#2344C2212yescomplemented
262Q8×C22⋊C4C2212yescomplemented
263#2339C2212yes—
264#2339C2212yes—
265#2339C2212yescomplemented
266#2328C2211yescharacteristic
267#2328C2211yescharacteristic
268#2327C2212yescomplemented
269#2326C2211yescharacteristic
270#2326C2211yescharacteristic
271#2324C2212yes—
272#2324C2212yes—
273#2321C2212yes—
274#2321C2212yes—
275#2317C2211yescharacteristic
276#2311C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292C4×#120C2212yes—
293#2293C2211yescharacteristic, complemented
294C2×#389C2212yescomplemented
295#2290C2212yescomplemented
296C2×#380C2212yes—
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#562—232no—
308#560—232no—
309#559—216no—
310#556—216no—
311#553—232no—
312#551—232no—
313#550—216no—
314D4×Q8—44no—
315#548—216no—
316#548—216no—
317#547—216no—
318#547—44no—
319#547—44no—
320#547—44no—
321#546—216no—
322#546—216no—
323#541—216no—
324#540—216no—
325#540—232no—
326#539—232no—
327#538—232no—
328#538—232no—
329#536—216no—
330#535D4116yescomplemented
331#532—216no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×#127C2314yes—
340C2×#127C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2311yescharacteristic
343#529—216no—
344#529—216no—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2312yes—
423C2×#120C2312yes—
424C4×#41—44no—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×D4—44no—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×#117C2314yes—
466C2×#117C2314yes—
467C2×#117C2312yes—
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C22×C4⋊C4C2314yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C22⋊C4C2314yes—
481C22×C22⋊C4C2314yes—
482C22×C22⋊C4C2312yes—
483C22×C42C2312yes—
484C22×C42C2311yescharacteristic
485C22×C42C2312yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2312yes—
494#400C2312yes—
495#398C2312yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2312yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#396C2312yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2312yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#393C2312yes—
576#393C2312yes—
577#393C2314yes—
578#392C2314yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#391C2314yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#382C2312yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2311yescharacteristic
802#379C2312yes—
803#379C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833#376C2311yescharacteristic
834#376C2311yescharacteristic
835C2×#95C2314yes—
836C2×#95C2314yes—
837C2×#95C2314yes—
838C43C2311yescharacteristic
839C43C2311yescharacteristic
840C25C2412yes—
841C2×#41—28no—
842C2×#41—28no—
843C2×#41—28no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41C2×D418yes—
853C22×Q8—28no—
854C22×Q8—44no—
855C22×Q8—44no—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×Q8C2411yescharacteristic
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×D4—42no—
862C22×D4—42no—
863C22×D4C2×D418yes—
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4—44no—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—24no—
914C4⋊Q8—42no—
915C4⋊Q8—44no—
916C4⋊Q8—44no—
917#127—216no—
918#127—42no—
919#127C2×D418yes—
920#127C2×D418yes—
921#126—28no—
922#126—216no—
923#126—28no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—28no—
932#124—28no—
933#124—28no—
934#124—28no—
935#124—216no—
936#124—216no—
937#124—28no—
938#124—216no—
939#124C2×D418yes—
940#124C2×D418yes—
941#123—216no—
942#123—216no—
943#123—216no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—28no—
950#123—28no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—48no—
955#123—48no—
956#123—48no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—48no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971#121—28no—
972#121—216no—
973#121—216no—
974#121—216no—
975#121—216no—
976#121—216no—
977#121—216no—
978#121—216no—
979#121—28no—
980#121—216no—
981#121—216no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—216no—
986#121—44no—
987#121—42no—
988#121—44no—
989#121—44no—
990#121—42no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121C2×D4116yes—
995#121C2×D4116yes—
996#120—216no—
997#120—216no—
998#120C2×D4116yes—
999#120C2×D4116yes—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—42no—
1006C4×D4—28no—
1007C4×D4—216no—
1008C4×D4—216no—
1009C4×D4—216no—
1010C4×D4—216no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—216no—
1016C4×D4—216no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039#117—216no—
1040#117—216no—
1041#117—28no—
1042#117—42no—
1043#117—44no—
1044#117—42no—
1045#117C2×D418yes—
1046C2×C4⋊C4—216no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—44no—
1050C2×C4⋊C4—42no—
1051C2×C4⋊C4—44no—
1052C2×C4⋊C4—44no—
1053C2×C4⋊C4—44no—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C22⋊C4—216no—
1119C2×C22⋊C4—216no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C42—28no—
1192C2×C42—24no—
1193C2×C42—44no—
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24—42no—
1280C24C22×D418yes—
1281C24C2512yes—
1282C24C2512yes—
1283C24C2511yescharacteristic
1284C24C2512yes—
1285C24C2512yes—
1286C24C2512yes—
1287#41—416no—
1288#41—816no—
1289#41—816no—
1290#41—816no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—28no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—44no—
1302C2×Q8—42no—
1303C2×Q8—44no—
1304C2×Q8—42no—
1305C2×Q8—816no—
1306C2×Q8C22×D414yes—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—28no—
1310C2×D4—28no—
1311C2×D4—28no—
1312C2×D4—28no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—416no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4C22×D414yes—
1363C2×D4C22×D414yes—
1364C2×D4C22×D414yes—
1365C2×D4C22×D418yes—
1366C2×D4C22×D418yes—
1367C2×D4C22×D418yes—
1368C2×D4C22×D418yes—
1369C2×D4C22×D418yes—
1370C2×D4C22×D418yes—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—28no—
1375C22×C4—28no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—28no—
1400C22×C4—22no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—816no—
1436C22×C4C22×D414yes—
1437C22×C4C22×D418yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2514yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—41no—
1518C4⋊C4—41no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C22×D414yes—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
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—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4C22×D418yes—
1596C22⋊C4C22×D418yes—
1597C22⋊C4C22×D414yes—
1598C22⋊C4C22×D414yes—
1599C22⋊C4C22×D418yes—
1600C22⋊C4C22×D418yes—
1601C42—24no—
1602C42—24no—
1603C42—24no—
1604C42—28no—
1605C42—24no—
1606C42—28no—
1607C42—28no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—24no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—42no—
1619C42—42no—
1620C42—41no—
1621C42—41no—
1622C42—41no—
1623C42—41no—
1624C42C22×D414yes—
1625C42C22×D414yes—
1626C42H(5,𝔽2)14yes—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—48no—
1666C23—48no—
1667C23—48no—
1668C23—84no—
1669C23—84no—
1670C23—84no—
1671C23—84no—
1672C23C23×D412yes—
1673C23C23×D414yes—
1674C23C23×D414yes—
1675C23C23×D414yes—
1676C23C2611yescharacteristic
1677Q8—28no—
1678Q8—48no—
1679Q8—48no—
1680Q8—84no—
1681Q8—88no—
1682D4—28no—
1683D4—28no—
1684D4—28no—
1685D4—48no—
1686D4—48no—
1687D4—48no—
1688D4—48no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—44no—
1693D4—84no—
1694D4—88no—
1695D4—84no—
1696D4—88no—
1697D4—88no—
1698D4—84no—
1699D4—88no—
1700D4—88no—
1701D4—88no—
1702D4—84no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—28no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—44no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—82no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—88no—
1792C2×C4—88no—
1793C2×C4—88no—
1794C2×C4—88no—
1795C2×C4—84no—
1796C2×C4—84no—
1797C2×C4—84no—
1798C2×C4—84no—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D412yes—
1802C2×C4C23×D412yes—
1803C2×C4C23×D414yes—
1804C2×C4C23×D412yes—
1805C2×C4C23×D412yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4#58512yes—
1810C2×C4#58512yes—
1811C2×C4#58512yes—
1812C22—24no—
1813C22—24no—
1814C22—24no—
1815C22—24no—
1816C22—24no—
1817C22—24no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—816no—
1855C22C24×D411yescharacteristic
1856C22C22×H(5,𝔽2)11yescharacteristic
1857C22C2×#58511yescharacteristic
1858C22C2×#58511yescharacteristic
1859C22C2×#58511yescharacteristic
1860C222−1+611yescharacteristic
1861C222−1+611yescharacteristic
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—24no—
1868C4—22no—
1869C4—42no—
1870C4—42no—
1871C4—44no—
1872C4—42no—
1873C4—44no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—42no—
1880C4—42no—
1881C4—44no—
1882C4—44no—
1883C4—42no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4#349614yes—
1890C4#356214yescomplemented
1891C2—44no—
1892C2—44no—
1893C2—44no—
1894C2—42no—
1895C2—82no—
1896C2—82no—
1897C2C2×#356211yescharacteristic
1898C2C2×#349611yescharacteristic
1899C2#6288811yescharacteristic
1900C2#6293611yescharacteristic
1901C2#6293911yescharacteristic
1902C2#6298811yescharacteristic
1903C2#6298811yescharacteristic
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×#3562C2semidirect
2. #59827C2semidirect
3. #59826C2semidirect
4. #59815C2semidirect
5. #59654C2semidirect
6. #59428C2semidirect
7. #59198C2semidirect
8. #51578C2semidirect
9. #48810C2semidirect
10. #46374C2semidirect
11. #46370C2semidirect
12. #45482C2semidirect
13. #45478C2semidirect
14. #45307C2semidirect
15. #45141C2semidirect
16. #42926C2semidirect
17. #42673C2semidirect
18. #39410C2semidirect
19. #39378C2semidirect
20. #39376C2semidirect
21. #39360C2semidirect
22. #39349C2semidirect
23. #39349C2semidirect
24. #37750C2semidirect
25. #37700C2semidirect
26. #37378C2semidirect
27. #36444C2semidirect
28. #36259C2semidirect
29. #36153C2semidirect
30. #36153C2semidirect
31. #36127C2semidirect
32. #36114C2semidirect
33. #35319C2semidirect
34. #34914C2semidirect
35. C4×#535C2semidirect
44. C2×D4×Q8C22semidirect
50. C2×#547C22semidirect
66. #2868C22semidirect
67. #2859C22semidirect
70. #2857C22semidirect
71. #2857C22semidirect
72. #2854C22semidirect
73. #2851C22semidirect
76. #2814C22semidirect
78. #2726C22semidirect
79. #2725C22semidirect
81. #2724C22semidirect
85. #2715C22semidirect
86. #2709C22semidirect
87. #2709C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2707C22semidirect
92. #2704C22semidirect
95. #2701C22semidirect
96. #2701C22semidirect
97. #2700C22semidirect
100. #2695C22semidirect
101. #2693C22semidirect
103. #2691C22semidirect
104. #2689C22semidirect
105. #2689C22semidirect
106. #2689C22semidirect
108. #2688C22semidirect
109. #2688C22semidirect
110. #2687C22semidirect
112. #2686C22semidirect
113. #2686C22semidirect
114. #2682C22semidirect
115. #2681C22semidirect
116. #2680C22semidirect
117. #2680C22semidirect
118. #2642C22semidirect
119. #2630C22semidirect
120. #2629C22semidirect
121. #2627C22semidirect
125. #2621C22semidirect
126. #2582C22semidirect
127. #2581C22semidirect
128. #2579C22semidirect
129. #2560C22semidirect
131. #2558C22semidirect
136. #2547C22semidirect
137. #2547C22semidirect
138. #2546C22semidirect
139. #2541C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2536C22semidirect
149. #2512C22semidirect
150. #2506C22semidirect
151. #2506C22semidirect
152. #2506C22semidirect
153. #2506C22semidirect
154. #2506C22semidirect
160. #2496C22semidirect
161. #2496C22semidirect
162. #2496C22semidirect
164. #2491C22semidirect
168. #2486C22semidirect
169. #2486C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
173. #2478C22semidirect
174. #2476C22semidirect
175. #2470C22semidirect
176. #2470C22semidirect
177. #2466C22semidirect
178. #2466C22semidirect
179. #2461C22semidirect
180. #2457C22semidirect
181. #2452C22semidirect
182. #2450C22semidirect
183. #2450C22semidirect
186. #2447C22semidirect
187. #2447C22semidirect
188. #2446C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2444C22semidirect
192. #2444C22semidirect
193. #2444C22semidirect
194. #2444C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2438C22semidirect
200. #2438C22semidirect
201. #2434C22semidirect
204. #2432C22semidirect
205. #2429C22semidirect
207. #2428C22semidirect
211. #2427C22semidirect
216. #2422C22semidirect
217. #2422C22semidirect
218. #2422C22semidirect
219. #2422C22semidirect
220. #2422C22semidirect
221. #2421C22semidirect
224. #2420C22semidirect
225. #2419C22semidirect
226. #2419C22semidirect
227. #2419C22semidirect
228. #2419C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
240. #2415C22semidirect
241. #2413C22semidirect
244. #2409C22semidirect
247. #2407C22semidirect
248. #2398C22semidirect
250. #2361C22semidirect
251. #2361C22semidirect
252. Q8×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2344C22semidirect
261. #2344C22semidirect
262. Q8×C22⋊C4C22semidirect
265. #2339C22semidirect
268. #2327C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
290. C4×#121C22semidirect
293. #2293C22semidirect
294. C2×#389C22semidirect
295. #2290C22semidirect
298. C42×D4C22semidirect
330. #535D4semidirect
1890. C4#3562semidirect

Maximal subgroups

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

subgroupindex
C2×#35622
#598272
#598262
#598152
#596542
#594282
#591982
#515782
#488102
#463742
#463702
#454822
#454782
#453072
#451412
#429262
#426732
#394102
#393782
#393762
#393602
#393492
#377502
#377002
#373782
#364442
#362592
#361532
#361272
#361142
#353192
#349142
C4×#5352