Finite Group Databasebeta

← #7654129

Subgroups — #7654129

Order 512.

7086 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#42168C212yesmaximal, complemented
4#41990C212yesmaximal, complemented
5#41422C212yesmaximal, complemented
6#41419C212yesmaximal, complemented
7#41413C212yesmaximal, complemented
8#41408C212yesmaximal, complemented
9#39871C214yesmaximal, complemented
10#39460C212yesmaximal, complemented
11#38913C212yesmaximal, complemented
12#38377C214yesmaximal, complemented
13#38361C214yesmaximal, complemented
14#38045C212yesmaximal, complemented
15#38036C212yesmaximal, complemented
16#37843C212yesmaximal, complemented
17#37834C212yesmaximal, complemented
18#37548C211yesmaximal, characteristic, complemented
19#37446C211yesmaximal, characteristic, complemented
20#37443C211yesmaximal, characteristic, complemented
21#36317C212yesmaximal, complemented
22#36225C214yesmaximal, complemented
23#36159C212yesmaximal, complemented
24#36045C212yesmaximal, complemented
25#35953C212yesmaximal, complemented
26#35325C211yesmaximal, characteristic, complemented
27#35262C211yesmaximal, characteristic, complemented
28#35143C211yesmaximal, characteristic, complemented
29#35097C211yesmaximal, characteristic, complemented
30#35063C211yesmaximal, characteristic, complemented
31#35057C211yesmaximal, characteristic, complemented
32#34875C211yesmaximal, characteristic, complemented
33#34809C211yesmaximal, characteristic, complemented
34C2×#2484C211yesmaximal, characteristic, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3475—216no—
37C2×#556C2211yescharacteristic, complemented
38C2×#555C2211yescharacteristic, complemented
39C2×#554C2211yescharacteristic, complemented
40C2×#553—216no—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic, complemented
50C2×#553C2211yescharacteristic, complemented
51C2×#552C2212yes—
52C2×#552C2211yescharacteristic, complemented
53C2×#552C2211yescharacteristic, complemented
54C2×#551C2212yes—
55C2×#551C2212yes—
56C2×#547C2211yescharacteristic, complemented
57C2×#546C2212yes—
58C2×#533C2211yescharacteristic
59C2×#529C2212yescomplemented
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C22×#126C2211yescharacteristic
63C22×#126C2211yescharacteristic
64C22×#125C2211yescharacteristic
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C22×#123C2211yescharacteristic
68C22×#123C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C22×#121C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2211yescharacteristic
80C22×#117C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C23×C4⋊C4C2211yescharacteristic
83#2855C2212yes—
84#2854C2214yescomplemented
85#2853C2212yes—
86#2853C2214yescomplemented
87#2852C2214yescomplemented
88#2849C2212yes—
89#2849C2212yes—
90#2849C2212yes—
91#2848C2212yes—
92#2821C2212yescomplemented
93#2821C2212yescomplemented
94#2816C2212yescomplemented
95#2815C2212yescomplemented
96#2814C2212yescomplemented
97#2813C2212yescomplemented
98#2726C2214yescomplemented
99#2725C2214yescomplemented
100#2722C2214yescomplemented
101#2720C2214yescomplemented
102#2719C2214yescomplemented
103#2718C2214yescomplemented
104#2715C2214yescomplemented
105#2707C2214yescomplemented
106#2705C2214yescomplemented
107#2703C2214yescomplemented
108#2701C2214yescomplemented
109#2701C2214yescomplemented
110#2699C2214yescomplemented
111#2698C2214yescomplemented
112#2696C2214yescomplemented
113#2694C2214yescomplemented
114#2691C2214yescomplemented
115#2688C2214yescomplemented
116#2686C2214yescomplemented
117#2686C2214yescomplemented
118#2682C2214yescomplemented
119#2681C2214yescomplemented
120#2676C2214yescomplemented
121#2671C2214yescomplemented
122#2664C2212yescomplemented
123#2664C2212yescomplemented
124#2663C2212yescomplemented
125#2661C2212yescomplemented
126#2656C2212yescomplemented
127#2639C2212yescomplemented
128#2638C2212yescomplemented
129#2637C2212yescomplemented
130#2637C2214yescomplemented
131#2636C2212yescomplemented
132#2635C2212yescomplemented
133#2635C2214yescomplemented
134#2630C2214yescomplemented
135#2628C2212yescomplemented
136#2627C2212yes—
137#2627C2212yescomplemented
138#2626C2212yes—
139#2624C2212yescomplemented
140#2624C2212yescomplemented
141#2623C2212yes—
142#2623C2212yescomplemented
143#2623C2212yescomplemented
144#2622C2212yes—
145#2621C2212yescomplemented
146#2618C2212yescomplemented
147#2613C2212yes—
148#2613C2212yes—
149#2611C2212yescomplemented
150#2611C2212yescomplemented
151#2609C2214yescomplemented
152#2604C2212yescomplemented
153#2604C2214yescomplemented
154#2603C2212yescomplemented
155#2602C2214yescomplemented
156#2601C2214yescomplemented
157#2600C2214yescomplemented
158#2599C2212yescomplemented
159#2599C2214yescomplemented
160#2598C2212yescomplemented
161#2591C2212yescomplemented
162#2583C2212yes—
163#2583C2212yes—
164#2583C2212yescomplemented
165#2579C2212yes—
166#2579C2212yes—
167#2579C2214yescomplemented
168#2564C2212yescomplemented
169#2561C2212yes—
170#2561C2212yes—
171#2559C2214yescomplemented
172#2558C2214yescomplemented
173#2554C2214yescomplemented
174#2553C2214yescomplemented
175#2543C2214yescomplemented
176#2543C2214yescomplemented
177#2543C2212yescomplemented
178#2534C2212yes—
179#2534C2212yes—
180#2519C2214yescomplemented
181#2506C2214yescomplemented
182#2504C2212yescomplemented
183#2501C2212yescomplemented
184#2500C2214yescomplemented
185#2498C2212yescomplemented
186#2498C2212yescomplemented
187#2498C2214yescomplemented
188#2496C2214yescomplemented
189#2487C2212yescomplemented
190#2486C2212yescomplemented
191#2485C2214yescomplemented
192#2484C2212yes—
193#2484C2212yes—
194#2484C2211yescharacteristic
195#2484C2211yescharacteristic
196#2484C2212yes—
197#2484C2211yescharacteristic
198#2484C2211yescharacteristic
199#2484C2211yescharacteristic
200#2484C2211yescharacteristic
201#2484C2212yescomplemented
202#2484C2212yescomplemented
203#2484C2214yescomplemented
204#2483C2212yes—
205#2482C2211yescharacteristic
206#2482C2211yescharacteristic
207#2482C2212yes—
208#2482C2211yescharacteristic
209#2482C2211yescharacteristic
210#2482C2211yescharacteristic
211#2482C2211yescharacteristic
212#2478C2214yescomplemented
213#2476C2214yescomplemented
214#2475C2214yescomplemented
215#2471C2214yescomplemented
216#2468C2214yescomplemented
217#2468C2214yescomplemented
218#2466C2214yescomplemented
219#2466C2214yescomplemented
220#2466C2214yescomplemented
221#2464C2214yescomplemented
222#2462C2214yescomplemented
223#2461C2214yescomplemented
224#2459C2214yescomplemented
225#2458C2214yescomplemented
226#2457C2214yescomplemented
227#2456C2214yescomplemented
228#2455C2214yescomplemented
229#2450C2214yescomplemented
230#2449C2214yescomplemented
231#2444C2214yescomplemented
232#2443C2214yescomplemented
233#2430C2214yescomplemented
234#2430C2214yescomplemented
235#2425C2214yescomplemented
236#2425C2214yescomplemented
237#2425C2214yescomplemented
238#2425C2214yescomplemented
239#2416C2214yescomplemented
240#2413C2212yes—
241#2413C2212yes—
242#2413C2212yes—
243#2412C2212yes—
244#2411C2212yes—
245#2410C2212yes—
246#2410C2212yes—
247#2410C2212yes—
248#2406C2211yescharacteristic
249#2406C2211yescharacteristic
250#2405C2212yes—
251#2405C2212yes—
252#2405C2212yes—
253#2404C2211yescharacteristic
254#2404C2211yescharacteristic
255#2396C2212yescomplemented
256#2395C2212yescomplemented
257#2395C2212yescomplemented
258C2×#400C2212yescomplemented
259#2392C2212yescomplemented
260C2×#398C2212yescomplemented
261#2364C2214yescomplemented
262#2361C2214yescomplemented
263#2359C2214yescomplemented
264#2359C2214yescomplemented
265#2357C2212yescomplemented
266#2353C2212yescomplemented
267#2353C2212yescomplemented
268#2349C2212yescomplemented
269#2344C2212yes—
270#2342C2212yes—
271#2342C2212yes—
272D4×C22⋊C4C2212yes—
273#2325C2214yescomplemented
274#2323C2214yescomplemented
275#2322C2212yes—
276#2322C2214yescomplemented
277#2321C2212yes—
278#2319C2212yescomplemented
279#2318C2212yescomplemented
280#2318C2212yescomplemented
281#2317C2212yes—
282#2315C2212yes—
283#2309C2212yes—
284#2308C2212yes—
285C4×#123C2212yes—
286C4×#123C2214yescomplemented
287C4×#120C2212yes—
288#2296C2212yes—
289#2290C2214yescomplemented
290C2×#387C2214yescomplemented
291C2×#385C2212yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2280C2212yes—
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#381C2211yescharacteristic
298C2×#381C2212yes—
299C2×#381C2211yescharacteristic
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315#556—28no—
316#555—28no—
317#554—28no—
318#553—216no—
319#553—216no—
320#553—216no—
321#553—216no—
322#553—216no—
323#553—216no—
324#553—216no—
325#553—216no—
326#553—28no—
327#553—28no—
328#552—28no—
329#552—28no—
330#552—216no—
331#551—216no—
332#551—216no—
333#547—28no—
334#546—216no—
335#533—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338#529—216no—
339#529—216no—
340#529—216no—
341C2×#126—28no—
342C2×#126—28no—
343C2×#126C2312yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#125—28no—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370#525—28no—
371#525—28no—
372C2×#123—28no—
373C2×#123—28no—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×#121—28no—
407C2×#121—28no—
408C2×#121—28no—
409C2×#121—28no—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C4×#41—216no—
441C4×#41—28no—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×D4—28no—
448C2×C4×D4—28no—
449C2×C4×D4—28no—
450C2×C4×D4D4116yescomplemented
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×#117—28no—
485C2×#117—28no—
486C2×#117—28no—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C22×C4⋊C4—28no—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C22⋊C4C2311yescharacteristic
529C22×C22⋊C4C2311yescharacteristic
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2311yescharacteristic
532C22×C22⋊C4C2311yescharacteristic
533C22×C22⋊C4C2311yescharacteristic
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2311yescharacteristic
536C22×C22⋊C4C2311yescharacteristic
537C22×C22⋊C4C2311yescharacteristic
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2311yescharacteristic
541C22×C22⋊C4C2311yescharacteristic
542C22×C42C2312yes—
543C22×C42C2311yescharacteristic
544C22×C42C2312yes—
545C22×C42C2312yes—
546C22×C42C2311yescharacteristic
547C22×C42C2311yescharacteristic
548#400C2312yes—
549#400C2312yes—
550#400C2314yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2314yes—
567#399C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2312yes—
571#398C2312yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2314yes—
593#397C2314yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#395C2312yes—
613#395C2314yes—
614#395C2314yes—
615#395C2314yes—
616#395C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#393C2312yes—
639#393C2312yes—
640#393C2314yes—
641#393C2314yes—
642#393C2314yes—
643#392C2312yes—
644#392C2314yes—
645#392C2314yes—
646#392C2312yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#391C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
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#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#384C2314yes—
785#383C2312yes—
786#383C2312yes—
787#382C2314yes—
788#382C2312yes—
789#382C2312yes—
790#381C2312yes—
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2312yes—
795#381C2312yes—
796#381C2312yes—
797#381C2314yes—
798#381C2312yes—
799#381C2312yes—
800#381C2312yes—
801#381C2312yes—
802#381C2311yescharacteristic
803#381C2311yescharacteristic
804#381C2311yescharacteristic
805#381C2311yescharacteristic
806#381C2314yes—
807#381C2314yes—
808#381C2314yes—
809#381C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#379C2312yes—
823#379C2312yes—
824#379C2312yes—
825#379C2312yes—
826#379C2312yes—
827#379C2312yes—
828#379C2312yes—
829#379C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2411yescharacteristic
858C25C2411yescharacteristic
859C25C2411yescharacteristic
860C25C2411yescharacteristic
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—48no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×D4—24no—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4C2×D418yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C23×C4—24no—
903C23×C4—24no—
904C23×C4—24no—
905C23×C4—24no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4C2×D418yes—
913C23×C4C2×D418yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C4⋊Q8—24no—
951C4⋊Q8—24no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#126—28no—
964#126—28no—
965#126—28no—
966#125—28no—
967#125—28no—
968#125—28no—
969#125—28no—
970#125—28no—
971#125—28no—
972#125—28no—
973#125—24no—
974#125—24no—
975#124—28no—
976#124—28no—
977#124—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—48no—
995#123—44no—
996#123—44no—
997#123—48no—
998#123—48no—
999#123—48no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—48no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—24no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#120—28no—
1037#120—28no—
1038#120—44no—
1039#120—44no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
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—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—48no—
1069C4×D4—48no—
1070C4×D4C2×D418yes—
1071C4×D4C2×D418yes—
1072C4×D4C2×D418yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D418yes—
1077C4×D4C2×D418yes—
1078#117—24no—
1079#117—24no—
1080#117—24no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—44no—
1098#117—44no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—48no—
1117C2×C4⋊C4C2×D418yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—28no—
1182C2×C22⋊C4—24no—
1183C2×C22⋊C4—24no—
1184C2×C22⋊C4—24no—
1185C2×C22⋊C4—24no—
1186C2×C22⋊C4—24no—
1187C2×C22⋊C4—24no—
1188C2×C22⋊C4—24no—
1189C2×C22⋊C4—24no—
1190C2×C22⋊C4—44no—
1191C2×C22⋊C4—44no—
1192C2×C22⋊C4C2×D418yes—
1193C2×C22⋊C4C2×D418yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C22⋊C4C2411yescharacteristic
1263C2×C22⋊C4C2411yescharacteristic
1264C2×C22⋊C4C2411yescharacteristic
1265C2×C42—24no—
1266C2×C42—28no—
1267C2×C42—28no—
1268C2×C42—24no—
1269C2×C42—28no—
1270C2×C42C2×D418yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2414yes—
1285C2×C42C2414yes—
1286C2×C42C2414yes—
1287C2×C42C2414yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24—24no—
1337C24—24no—
1338C24—24no—
1339C24—22no—
1340C24—22no—
1341C24—24no—
1342C24—24no—
1343C24—42no—
1344C24—42no—
1345C24—42no—
1346C24—42no—
1347C24—42no—
1348C24—42no—
1349C24—42no—
1350C24C22×D414yes—
1351C24C22×D414yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2512yes—
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357C24C2511yescharacteristic
1358C24C2511yescharacteristic
1359C24C2511yescharacteristic
1360#41—416no—
1361#41—432no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—44no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—416no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—416no—
1415C2×D4—416no—
1416C2×D4—416no—
1417C2×D4—88no—
1418C2×D4—88no—
1419C2×D4C22×D414yes—
1420C2×D4C22×D414yes—
1421C2×D4C22×D414yes—
1422C2×D4C22×D414yes—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—416no—
1457C22×C4—416no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—416no—
1492C22×C4—416no—
1493C22×C4—88no—
1494C22×C4—88no—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C22×D414yes—
1501C22×C4C22×D414yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C22×D414yes—
1506C22×C4C22×D414yes—
1507C22×C4C22×D414yes—
1508C22×C4C2514yes—
1509C22×C4C2514yes—
1510C22×C4C2514yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C22×D414yes—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C22⋊C4C22×D414yes—
1667C22⋊C4C22×D414yes—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—44no—
1682C42—44no—
1683C42—44no—
1684C42—44no—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C42C22×D414yes—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—28no—
1703C23—28no—
1704C23—28no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—22no—
1710C23—22no—
1711C23—24no—
1712C23—24no—
1713C23—22no—
1714C23—22no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—24no—
1719C23—24no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—416no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23—44no—
1728C23—44no—
1729C23—44no—
1730C23—88no—
1731C23—88no—
1732C23—88no—
1733C23C23×D412yes—
1734C23C23×D412yes—
1735C23C23×D412yes—
1736C23C23×D412yes—
1737C23C23×D412yes—
1738C23#58514yes—
1739C23#58514yes—
1740C23C2611yescharacteristic
1741Q8—44no—
1742Q8—48no—
1743Q8—84no—
1744D4—28no—
1745D4—28no—
1746D4—44no—
1747D4—44no—
1748D4—48no—
1749D4—48no—
1750D4—44no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—84no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—84no—
1763D4—84no—
1764D4—88no—
1765D4—164no—
1766C2×C4—28no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—28no—
1780C2×C4—28no—
1781C2×C4—28no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—88no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—164no—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D412yes—
1861C2×C4C23×D412yes—
1862C2×C4#58514yes—
1863C22—28no—
1864C22—28no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—416no—
1879C22—44no—
1880C22—44no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—44no—
1885C22—44no—
1886C22—44no—
1887C22—44no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—88no—
1898C22—88no—
1899C22—88no—
1900C22#344914yes—
1901C22#348514yes—
1902C22C24×D411yescharacteristic
1903C22C2×#58512yes—
1904C22C2×#58512yes—
1905C22C2×#58512yes—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—24no—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—44no—
1918C4—44no—
1919C4—44no—
1920C4—44no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C2—24no—
1934C2—24no—
1935C2—42no—
1936C2—42no—
1937C2—42no—
1938C2—82no—
1939C2—82no—
1940C2—82no—
1941C2C2×#344911yescharacteristic
1942C2C2×#348511yescharacteristic
1943C2#6281111yescharacteristic
1944C2#6302714yes—
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×#3475C2semidirect
2. C22×#553C2semidirect
3. #42168C2semidirect
4. #41990C2semidirect
5. #41422C2semidirect
6. #41419C2semidirect
7. #41413C2semidirect
8. #41408C2semidirect
9. #39871C2semidirect
10. #39460C2semidirect
11. #38913C2semidirect
12. #38377C2semidirect
13. #38361C2semidirect
14. #38045C2semidirect
15. #38036C2semidirect
16. #37843C2semidirect
17. #37834C2semidirect
18. #37548C2semidirect
19. #37446C2semidirect
20. #37443C2semidirect
21. #36317C2semidirect
22. #36225C2semidirect
23. #36159C2semidirect
24. #36045C2semidirect
25. #35953C2semidirect
26. #35325C2semidirect
27. #35262C2semidirect
28. #35143C2semidirect
29. #35097C2semidirect
30. #35063C2semidirect
31. #35057C2semidirect
32. #34875C2semidirect
33. #34809C2semidirect
34. C2×#2484C2semidirect
35. #34190C2semidirect
37. C2×#556C22semidirect
38. C2×#555C22semidirect
39. C2×#554C22semidirect
49. C2×#553C22semidirect
50. C2×#553C22semidirect
52. C2×#552C22semidirect
53. C2×#552C22semidirect
56. C2×#547C22semidirect
59. C2×#529C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
74. C2×C4×#41C22semidirect
84. #2854C22semidirect
86. #2853C22semidirect
87. #2852C22semidirect
92. #2821C22semidirect
93. #2821C22semidirect
94. #2816C22semidirect
95. #2815C22semidirect
96. #2814C22semidirect
97. #2813C22semidirect
98. #2726C22semidirect
99. #2725C22semidirect
100. #2722C22semidirect
101. #2720C22semidirect
102. #2719C22semidirect
103. #2718C22semidirect
104. #2715C22semidirect
105. #2707C22semidirect
106. #2705C22semidirect
107. #2703C22semidirect
108. #2701C22semidirect
109. #2701C22semidirect
110. #2699C22semidirect
111. #2698C22semidirect
112. #2696C22semidirect
113. #2694C22semidirect
114. #2691C22semidirect
115. #2688C22semidirect
116. #2686C22semidirect
117. #2686C22semidirect
118. #2682C22semidirect
119. #2681C22semidirect
120. #2676C22semidirect
121. #2671C22semidirect
122. #2664C22semidirect
123. #2664C22semidirect
124. #2663C22semidirect
125. #2661C22semidirect
126. #2656C22semidirect
127. #2639C22semidirect
128. #2638C22semidirect
129. #2637C22semidirect
130. #2637C22semidirect
131. #2636C22semidirect
132. #2635C22semidirect
133. #2635C22semidirect
134. #2630C22semidirect
135. #2628C22semidirect
137. #2627C22semidirect
139. #2624C22semidirect
140. #2624C22semidirect
142. #2623C22semidirect
143. #2623C22semidirect
145. #2621C22semidirect
146. #2618C22semidirect
149. #2611C22semidirect
150. #2611C22semidirect
151. #2609C22semidirect
152. #2604C22semidirect
153. #2604C22semidirect
154. #2603C22semidirect
155. #2602C22semidirect
156. #2601C22semidirect
157. #2600C22semidirect
158. #2599C22semidirect
159. #2599C22semidirect
160. #2598C22semidirect
161. #2591C22semidirect
164. #2583C22semidirect
167. #2579C22semidirect
168. #2564C22semidirect
171. #2559C22semidirect
172. #2558C22semidirect
173. #2554C22semidirect
174. #2553C22semidirect
175. #2543C22semidirect
176. #2543C22semidirect
177. #2543C22semidirect
180. #2519C22semidirect
181. #2506C22semidirect
182. #2504C22semidirect
183. #2501C22semidirect
184. #2500C22semidirect
185. #2498C22semidirect
186. #2498C22semidirect
187. #2498C22semidirect
188. #2496C22semidirect
189. #2487C22semidirect
190. #2486C22semidirect
191. #2485C22semidirect
201. #2484C22semidirect
202. #2484C22semidirect
203. #2484C22semidirect
212. #2478C22semidirect
213. #2476C22semidirect
214. #2475C22semidirect
215. #2471C22semidirect
216. #2468C22semidirect
217. #2468C22semidirect
218. #2466C22semidirect
219. #2466C22semidirect
220. #2466C22semidirect
221. #2464C22semidirect
222. #2462C22semidirect
223. #2461C22semidirect
224. #2459C22semidirect
225. #2458C22semidirect
226. #2457C22semidirect
227. #2456C22semidirect
228. #2455C22semidirect
229. #2450C22semidirect
230. #2449C22semidirect
231. #2444C22semidirect
232. #2443C22semidirect
233. #2430C22semidirect
234. #2430C22semidirect
235. #2425C22semidirect
236. #2425C22semidirect
237. #2425C22semidirect
238. #2425C22semidirect
239. #2416C22semidirect
255. #2396C22semidirect
256. #2395C22semidirect
257. #2395C22semidirect
258. C2×#400C22semidirect
259. #2392C22semidirect
260. C2×#398C22semidirect
261. #2364C22semidirect
262. #2361C22semidirect
263. #2359C22semidirect
264. #2359C22semidirect
265. #2357C22semidirect
266. #2353C22semidirect
267. #2353C22semidirect
268. #2349C22semidirect
273. #2325C22semidirect
274. #2323C22semidirect
276. #2322C22semidirect
278. #2319C22semidirect
279. #2318C22semidirect
280. #2318C22semidirect
286. C4×#123C22semidirect
289. #2290C22semidirect
290. C2×#387C22semidirect
300. #2275C22semidirect
450. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
C22×#5532
#421682
#419902
#414222
#414192
#414132
#414082
#398712
#394602
#389132
#383772
#383612
#380452
#380362
#378432
#378342
#375482
#374462
#374432
#363172
#362252
#361592
#360452
#359532
#353252
#352622
#351432
#350972
#350632
#350572
#348752
#348092
C2×#24842
#341902