Finite Group Databasebeta

← #7680436

Subgroups — #7680436

Order 512.

6885 conjugacy classes of subgroups.

The subgroup lattice has 1911 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic
3#59829C212yesmaximal, complemented
4#59667C212yesmaximal, complemented
5#59658C212yesmaximal, complemented
6#59415C212yesmaximal, complemented
7#59121C212yesmaximal, complemented
8#59114C212yesmaximal, complemented
9#59101C212yesmaximal, complemented
10#59100C212yesmaximal, complemented
11#44774C214yesmaximal, complemented
12#44773C214yesmaximal, complemented
13#43540C214yesmaximal, complemented
14#43534C214yesmaximal, complemented
15#39468C211yesmaximal, characteristic, complemented
16#39463C212yesmaximal, complemented
17#39343C211yesmaximal, characteristic, complemented
18#39343C212yesmaximal, complemented
19#39139C211yesmaximal, characteristic, complemented
20#39127C211yesmaximal, characteristic, complemented
21#38048C212yesmaximal, complemented
22#38027C212yesmaximal, complemented
23#36577C211yesmaximal, characteristic, complemented
24#36545C211yesmaximal, characteristic, complemented
25#36405C211yesmaximal, characteristic, complemented
26#36274C211yesmaximal, characteristic, complemented
27#35663C212yesmaximal, complemented
28#35635C212yesmaximal, complemented
29#35309C212yesmaximal, complemented
30#35297C211yesmaximal, characteristic, complemented
31#34979C211yesmaximal, characteristic, complemented
32#34952C211yesmaximal, characteristic, complemented
33#34268C212yesmaximal, complemented
34#34242C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3523—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#557C2212yes—
41C2×#557C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2212yes—
45C2×#556C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#553C2212yes—
51C2×#553C2211yescharacteristic
52C2×#552C2214yes—
53C2×#552C2212yes—
54C2×#550C2211yescharacteristic
55C2×D4×Q8C2212yes—
56C2×D4×Q8C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#541C2212yes—
60C2×#541C2214yes—
61C2×#536C2211yescharacteristic
62C2×#536C2212yes—
63C2×#533C2211yescharacteristic
64C2×#533C2212yes—
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#519C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2212yes—
77C22×C4×Q8C2211yescharacteristic
78C22×C4×Q8C2211yescharacteristic
79#2857C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2212yes—
83#2857C2211yescharacteristic
84#2855C2212yes—
85#2855C2212yes—
86#2851C2212yes—
87#2725C2214yes—
88#2724C2214yes—
89#2721C2214yes—
90#2718C2214yes—
91#2716C2214yes—
92#2715C2214yes—
93#2713C2214yes—
94#2713C2214yes—
95#2711C2214yes—
96#2709C2214yes—
97#2708C2214yes—
98#2707C2214yes—
99#2701C2214yes—
100#2700C2214yes—
101#2698C2214yes—
102#2698C2214yes—
103#2694C2214yes—
104#2691C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2672C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2629C2212yes—
112#2625C2212yes—
113#2621C2212yes—
114#2616C2212yes—
115#2616C2212yes—
116#2616C2212yes—
117#2611C2214yes—
118#2584C2212yes—
119#2584C2212yes—
120#2582C2211yescharacteristic
121#2582C2212yes—
122#2582C2211yescharacteristic
123#2581C2212yes—
124#2581C2212yes—
125#2581C2212yes—
126#2580C2212yes—
127#2579C2214yes—
128#2568C2212yes—
129#2568C2211yescharacteristic
130#2562C2212yes—
131#2562C2212yes—
132#2559C2214yes—
133#2559C2214yes—
134#2558C2214yes—
135#2556C2214yes—
136#2553C2214yes—
137#2552C2212yes—
138#2551C2214yes—
139#2551C2212yes—
140#2549C2214yes—
141#2547C2211yescharacteristic
142#2546C2211yescharacteristic
143#2545C2212yes—
144#2544C2212yes—
145#2542C2212yes—
146#2542C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2536C2212yes—
151#2536C2212yes—
152#2521C2214yes—
153#2521C2214yes—
154#2519C2214yes—
155#2519C2214yes—
156#2506C2214yes—
157#2506C2214yes—
158#2499C2212yes—
159#2496C2214yes—
160#2491C2212yes—
161#2491C2214yes—
162#2490C2212yes—
163#2488C2214yes—
164#2487C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2478C2214yes—
170#2478C2214yes—
171#2478C2214yes—
172#2476C2214yes—
173#2476C2214yes—
174#2474C2214yes—
175#2474C2214yes—
176#2474C2214yes—
177#2473C2214yes—
178#2470C2214yes—
179#2469C2214yes—
180#2468C2214yes—
181#2468C2214yes—
182#2468C2214yes—
183#2466C2214yes—
184#2466C2214yes—
185#2465C2214yes—
186#2462C2214yes—
187#2462C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2458C2214yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2214yes—
196#2451C2212yes—
197#2451C2212yes—
198#2450C2214yes—
199#2448C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2445C2214yes—
203#2445C2212yes—
204#2444C2214yes—
205#2442C2212yes—
206#2442C2214yes—
207#2439C2212yes—
208#2438C2214yes—
209#2434C2212yes—
210#2432C2212yes—
211#2432C2212yes—
212#2429C2212yes—
213#2427C2212yes—
214#2426C2212yes—
215#2426C2212yes—
216#2423C2212yes—
217#2422C2214yes—
218#2422C2212yes—
219#2419C2214yes—
220#2417C2212yes—
221#2417C2212yes—
222#2415C2212yes—
223#2415C2212yes—
224#2415C2212yes—
225#2415C2212yes—
226#2415C2212yes—
227#2415C2212yes—
228#2409C2212yes—
229#2409C2212yes—
230#2409C2212yes—
231#2396C2214yes—
232#2395C2214yes—
233#2373C2214yes—
234#2367C2214yes—
235#2367C2214yes—
236#2365C2214yes—
237#2365C2212yes—
238#2365C2212yes—
239#2365C2214yes—
240#2363C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2360C2212yes—
244#2359C2214yes—
245#2359C2214yes—
246#2359C2214yes—
247#2359C2214yes—
248#2355C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2352C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256Q8×C22⋊C4C2212yes—
257#2339C2212yes—
258#2335C2214yes—
259#2327C2212yes—
260#2326C2212yes—
261#2323C2211yescharacteristic
262#2323C2211yescharacteristic
263#2323C2211yescharacteristic
264#2323C2211yescharacteristic
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2322C2212yes—
270#2322C2212yes—
271#2317C2211yescharacteristic
272#2314C2212yes—
273#2311C2211yescharacteristic
274#2311C2212yes—
275#2310C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×#125C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2212yes—
291C4×C22⋊Q8C2212yes—
292C4×#123C2212yes—
293C4×#123C2212yes—
294#2297C2212yes—
295#2296C2212yes—
296#2296C2212yes—
297C2×#391C2212yes—
298#2285C2211yescharacteristic
299#2274C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308#559—28no—
309#559—216no—
310#557—28no—
311#557—216no—
312#557—28no—
313#557—28no—
314#556—216no—
315#556—216no—
316#556—28no—
317#556—28no—
318#553—216no—
319#553—28no—
320#553—216no—
321#553—28no—
322#552—232no—
323#552—216no—
324#550—28no—
325D4×Q8—216no—
326D4×Q8—28no—
327#548—28no—
328#548—28no—
329#541—232no—
330#541—216no—
331#536—28no—
332#536—216no—
333#533—216no—
334#533—28no—
335#532—216no—
336#532—28no—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350#529—216no—
351#529—28no—
352#529—216no—
353#529—216no—
354#529D4116yes—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2311yescharacteristic
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433#519—216no—
434C4×#41—28no—
435C4×#41—216no—
436C4×#41—28no—
437C4×#41—28no—
438C2×C4×Q8—28no—
439C2×C4×Q8—28no—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2314yes—
464C2×C4×Q8C2314yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2314yes—
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2314yes—
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#400C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#384C2311yescharacteristic
774#384C2311yescharacteristic
775#384C2314yes—
776#382C2312yes—
777#382C2312yes—
778#382C2314yes—
779#382C2312yes—
780#382C2312yes—
781#381C2312yes—
782#381C2312yes—
783#381C2314yes—
784#381C2314yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C43C2312yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—44no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—42no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—28no—
871C22×Q8—44no—
872C22×Q8—42no—
873C22×Q8—42no—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2414yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2411yescharacteristic
883C22×Q8C2411yescharacteristic
884C22×Q8C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2414yes—
918C23×C4C2411yescharacteristic
919C4⋊Q8—28no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—28no—
924C4⋊Q8—216no—
925C4⋊Q8—28no—
926C4⋊Q8—216no—
927C4⋊Q8—24no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930#127—28no—
931#127—24no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—216no—
936#126—28no—
937#126—28no—
938#126—216no—
939#126—216no—
940#126—216no—
941#126C2×D4116yes—
942#125—28no—
943#125—28no—
944#125—24no—
945#125—28no—
946#125—216no—
947#125—216no—
948#125—216no—
949#125—216no—
950#125—216no—
951#125—28no—
952#125—28no—
953#125C2×D418yes—
954#124—24no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—216no—
963#124—44no—
964#124C2×D418yes—
965#123—216no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—216no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123C2×D4116yes—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8C2×D418yes—
998C22⋊Q8#4118yescomplemented
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121C2×D418yes—
1010C4×Q8—24no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—216no—
1018C4×Q8—216no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—28no—
1036C4×Q8—44no—
1037C4×Q8C2×D418yes—
1038C4×D4—24no—
1039C4×D4—216no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—44no—
1062C4×D4C2×D418yes—
1063C4×D4C2×D4116yes—
1064#117—24no—
1065#117—24no—
1066#117—28no—
1067#117—28no—
1068#117—24no—
1069#117—24no—
1070#117—28no—
1071#117—28no—
1072#117—216no—
1073#117—216no—
1074#117—216no—
1075#117—24no—
1076#117—28no—
1077#117—24no—
1078#117—28no—
1079#117—42no—
1080#117—44no—
1081#117C2×D4116yes—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—28no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—44no—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C42—28no—
1218C2×C42—28no—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—28no—
1223C2×C42C2×D418yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2414yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312C24C2511yescharacteristic
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2511yescharacteristic
1317#41—432no—
1318#41—416no—
1319#41—416no—
1320#41—416no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—28no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—28no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—22no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—41no—
1350C2×Q8—42no—
1351C2×Q8—416no—
1352C2×Q8—432no—
1353C2×Q8—416no—
1354C2×Q8C22×D414yes—
1355C2×Q8C2×#4114yes—
1356C2×Q82−1+414yes—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—41no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—41no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4C22×D414yes—
1395C2×D4C22×D418yes—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4C22×D414yes—
1455C22×C4C22×D418yes—
1456C22×C4C22×D414yes—
1457C22×C4C22×D414yes—
1458C22×C4C2×#4114yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2514yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2514yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2514yes—
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—28no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C22×D418yes—
1565C4⋊C4C2×#4114yes—
1566C4⋊C4C2×#4118yes—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—22no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4C22×D418yes—
1614C22⋊C4C22×D418yes—
1615C22⋊C4C22×D418yes—
1616C22⋊C4C22×D418yes—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C2×#4118yes—
1619C42—22no—
1620C42—24no—
1621C42—22no—
1622C42—24no—
1623C42—24no—
1624C42—22no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—22no—
1629C42—24no—
1630C42—22no—
1631C42—24no—
1632C42—22no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—28no—
1637C42—28no—
1638C42—28no—
1639C42—28no—
1640C42—24no—
1641C42—28no—
1642C42—24no—
1643C42—24no—
1644C42—42no—
1645C42—44no—
1646C42—42no—
1647C42—44no—
1648C42—42no—
1649C42—44no—
1650C42C22×D414yes—
1651C42C22×D414yes—
1652C42C22×D418yes—
1653C42C22×D414yes—
1654C42C22×D414yes—
1655C23—21no—
1656C23—21no—
1657C23—22no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—22no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—21no—
1686C23—22no—
1687C23C23×D414yes—
1688C23C23×D412yes—
1689C23C22×#4112yes—
1690C23C2611yescharacteristic
1691Q8—28no—
1692Q8—28no—
1693Q8—28no—
1694Q8—48no—
1695Q8—48no—
1696Q8—416no—
1697Q8—44no—
1698Q8—48no—
1699Q8—44no—
1700Q8—48no—
1701Q8—48no—
1702D4—28no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—44no—
1707D4—48no—
1708D4—44no—
1709D4—48no—
1710D4—44no—
1711D4—48no—
1712D4—44no—
1713D4—84no—
1714D4—84no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—216no—
1738C2×C4—28no—
1739C2×C4—28no—
1740C2×C4—28no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—416no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—48no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—84no—
1804C2×C4—82no—
1805C2×C4—82no—
1806C2×C4—84no—
1807C2×C4—84no—
1808C2×C4—164no—
1809C2×C4C23×D412yes—
1810C2×C4C23×D412yes—
1811C2×C4C23×D414yes—
1812C2×C4C23×D414yes—
1813C2×C4C23×D414yes—
1814C2×C4C23×D412yes—
1815C2×C4C23×D412yes—
1816C2×C4C23×D412yes—
1817C2×C4C23×D412yes—
1818C2×C4C22×#4114yes—
1819C2×C4C22×#4114yes—
1820C2×C4C22×#4112yes—
1821C2×C4C22×#4112yes—
1822C2×C4C2×2−1+414yes—
1823C2×C4C2×2−1+412yes—
1824C2×C4#58512yes—
1825C2×C4#58512yes—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—22no—
1833C22—24no—
1834C22—22no—
1835C22—41no—
1836C22—42no—
1837C22—41no—
1838C22—42no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—42no—
1852C22—41no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22C24×D411yescharacteristic
1862C22C23×#4111yescharacteristic
1863C22C22×2−1+411yescharacteristic
1864C22C2×#58511yescharacteristic
1865C22C2×#58511yescharacteristic
1866C222−1+611yescharacteristic
1867C222−1+611yescharacteristic
1868C4—24no—
1869C4—22no—
1870C4—24no—
1871C4—24no—
1872C4—22no—
1873C4—22no—
1874C4—24no—
1875C4—22no—
1876C4—24no—
1877C4—22no—
1878C4—24no—
1879C4—42no—
1880C4—44no—
1881C4—41no—
1882C4—41no—
1883C4—44no—
1884C4—42no—
1885C4—42no—
1886C4—42no—
1887C4—41no—
1888C4—41no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—42no—
1893C4—44no—
1894C4—44no—
1895C4—42no—
1896C4D4×#4114yes—
1897C4#348914yes—
1898C2—42no—
1899C2—42no—
1900C2—44no—
1901C2—81no—
1902C2—82no—
1903C2C2×D4×#4111yescharacteristic
1904C2C2×#348911yescharacteristic
1905C2#6285911yescharacteristic
1906C2#6295311yescharacteristic
1907C2#6296811yescharacteristic
1908C2#6300111yescharacteristic
1909C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3480C2
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×#3523C2semidirect
3. #59829C2semidirect
4. #59667C2semidirect
5. #59658C2semidirect
6. #59415C2semidirect
7. #59121C2semidirect
8. #59114C2semidirect
9. #59101C2semidirect
10. #59100C2semidirect
11. #44774C2semidirect
12. #44773C2semidirect
13. #43540C2semidirect
14. #43534C2semidirect
15. #39468C2semidirect
16. #39463C2semidirect
17. #39343C2semidirect
18. #39343C2semidirect
19. #39139C2semidirect
20. #39127C2semidirect
21. #38048C2semidirect
22. #38027C2semidirect
23. #36577C2semidirect
24. #36545C2semidirect
25. #36405C2semidirect
26. #36274C2semidirect
27. #35663C2semidirect
28. #35635C2semidirect
29. #35309C2semidirect
30. #35297C2semidirect
31. #34979C2semidirect
32. #34952C2semidirect
33. #34268C2semidirect
34. #34242C2semidirect
35. C4×#536C2semidirect
998. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34802
#598292
#596672
#596582
#594152
#591212
#591142
#591012
#591002
#447742
#447732
#435402
#435342
#394682
#394632
#393432
#391392
#391272
#380482
#380272
#365772
#365452
#364052
#362742
#356632
#356352
#353092
#352972
#349792
#349522
#342682
#342422
C4×#5362