Finite Group Databasebeta

← #7648473

Subgroups — #7648473

Order 512.

7113 conjugacy classes of subgroups.

The subgroup lattice has 2030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42980C212yesmaximal, complemented
4#42970C212yesmaximal, complemented
5#42929C212yesmaximal, complemented
6#42928C212yesmaximal, complemented
7#42167C214yesmaximal, complemented
8#41984C214yesmaximal, complemented
9#39614C212yesmaximal, complemented
10#39487C212yesmaximal, complemented
11#39165C212yesmaximal, complemented
12#38950C212yesmaximal, complemented
13#38077C214yesmaximal, complemented
14#37861C214yesmaximal, complemented
15#37620C212yesmaximal, complemented
16#37555C212yesmaximal, complemented
17#37378C212yesmaximal, complemented
18#37378C212yesmaximal, complemented
19#37280C212yesmaximal, complemented
20#37277C212yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35519C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35308C211yesmaximal, characteristic, complemented
26#35306C211yesmaximal, characteristic, complemented
27#35306C211yesmaximal, characteristic, complemented
28#35280C212yesmaximal, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35223C211yesmaximal, characteristic, complemented
32#35130C212yesmaximal, complemented
33#34737C211yesmaximal, characteristic, complemented
34C2×#2417C211yesmaximal, characteristic, complemented
35C2×#2317C211yesmaximal, characteristic, complemented
36#3495—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2212yescomplemented
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2212yescomplemented
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#552C2214yes—
46C2×#552C2211yescharacteristic
47C2×#552C2212yes—
48C2×#552C2211yescharacteristic
49C2×#552C2212yescomplemented
50C2×#552C2212yescomplemented
51C2×#551C2212yes—
52C2×#551C2214yes—
53C2×#551C2212yes—
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#544C2211yescharacteristic
57C2×#542C2212yescomplemented
58C2×#541C2212yescomplemented
59C2×#537C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2212yescomplemented
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yescomplemented
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic
72C22×C22⋊Q8C2211yescharacteristic
73C22×C22⋊Q8C2211yescharacteristic
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C2×C4×#41C2212yes—
77C2×C4×#41C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2211yescharacteristic
80C22×#117C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C23×C4⋊C4C2211yescharacteristic
83#2857C2212yescomplemented
84#2857C2212yescomplemented
85#2857C2212yescomplemented
86#2857C2212yescomplemented
87#2857C2212yescomplemented
88#2851C2212yescomplemented
89#2851C2212yescomplemented
90#2850C2212yescomplemented
91#2850C2212yescomplemented
92#2850C2212yescomplemented
93#2847C2214yes—
94#2823C2214yescomplemented
95#2823C2214yescomplemented
96#2822C2214yescomplemented
97#2820C2214yescomplemented
98#2727C2214yescomplemented
99#2726C2214yescomplemented
100#2726C2214yescomplemented
101#2725C2214yescomplemented
102#2725C2214yescomplemented
103#2725C2214yescomplemented
104#2722C2214yescomplemented
105#2722C2214yescomplemented
106#2715C2214yes—
107#2715C2214yescomplemented
108#2715C2214yescomplemented
109#2712C2214yes—
110#2707C2214yescomplemented
111#2707C2214yescomplemented
112#2705C2214yescomplemented
113#2704C2214yescomplemented
114#2704C2214yescomplemented
115#2704C2214yescomplemented
116#2702C2214yescomplemented
117#2702C2214yescomplemented
118#2695C2214yes—
119#2695C2214yescomplemented
120#2695C2214yescomplemented
121#2693C2214yes—
122#2691C2214yes—
123#2691C2214yes—
124#2683C2214yescomplemented
125#2681C2214yescomplemented
126#2676C2214yes—
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2671C2214yes—
130#2659C2214yescomplemented
131#2639C2214yes—
132#2637C2214yescomplemented
133#2637C2214yescomplemented
134#2637C2214yescomplemented
135#2636C2214yescomplemented
136#2629C2214yescomplemented
137#2629C2212yescomplemented
138#2629C2212yescomplemented
139#2629C2214yescomplemented
140#2629C2214yescomplemented
141#2628C2212yescomplemented
142#2628C2212yescomplemented
143#2621C2212yescomplemented
144#2621C2212yescomplemented
145#2621C2212yescomplemented
146#2620C2214yescomplemented
147#2620C2212yescomplemented
148#2620C2212yescomplemented
149#2620C2212yescomplemented
150#2618C2214yes—
151#2618C2214yes—
152#2618C2214yescomplemented
153#2609C2214yescomplemented
154#2609C2214yescomplemented
155#2582C2212yescomplemented
156#2582C2212yescomplemented
157#2582C2212yescomplemented
158#2582C2214yescomplemented
159#2581C2212yescomplemented
160#2581C2212yescomplemented
161#2581C2212yescomplemented
162#2580C2212yescomplemented
163#2538C2214yescomplemented
164#2538C2212yescomplemented
165#2538C2212yescomplemented
166#2538C2212yescomplemented
167#2538C2212yescomplemented
168#2537C2212yescomplemented
169#2536C2212yescomplemented
170#2536C2212yescomplemented
171#2536C2212yescomplemented
172#2535C2212yescomplemented
173#2498C2214yes—
174#2498C2214yescomplemented
175#2498C2214yescomplemented
176#2454C2212yescomplemented
177#2453C2212yescomplemented
178#2453C2212yescomplemented
179#2453C2212yescomplemented
180#2452C2212yescomplemented
181#2451C2212yescomplemented
182#2451C2212yescomplemented
183#2451C2212yescomplemented
184#2450C2214yes—
185#2450C2214yes—
186#2449C2214yes—
187#2449C2214yes—
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2438C2214yes—
197#2438C2214yes—
198#2438C2214yes—
199#2437C2214yes—
200#2430C2214yes—
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2425C2214yes—
210#2425C2214yes—
211#2425C2214yes—
212#2424C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2211yescharacteristic
222#2417C2211yescharacteristic
223#2417C2214yes—
224#2417C2212yescomplemented
225#2417C2212yescomplemented
226#2417C2212yescomplemented
227#2417C2212yescomplemented
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2417C2212yescomplemented
231#2417C2212yescomplemented
232#2417C2214yescomplemented
233#2417C2214yescomplemented
234#2417C2212yescomplemented
235#2416C2211yescharacteristic
236#2416C2211yescharacteristic
237#2416C2214yes—
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2415C2211yescharacteristic
244#2415C2211yescharacteristic
245#2415C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2415C2212yescomplemented
250#2414C2211yescharacteristic
251#2414C2211yescharacteristic
252#2414C2212yescomplemented
253#2413C2214yes—
254#2413C2214yes—
255#2413C2212yes—
256#2413C2214yes—
257#2412C2214yes—
258#2412C2212yes—
259#2412C2214yes—
260#2411C2212yes—
261#2411C2214yes—
262#2410C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#398C2212yes—
266C2×#396C2212yes—
267#2325C2214yes—
268#2325C2214yescomplemented
269#2317C2214yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2317C2212yescomplemented
276#2317C2212yescomplemented
277#2317C2212yescomplemented
278#2317C2212yescomplemented
279#2316C2211yescharacteristic
280#2316C2214yescomplemented
281#2311C2214yes—
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2311C2211yescharacteristic
285#2310C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2212yescomplemented
293C2×#389C2212yescomplemented
294C2×#386C2212yes—
295C2×#385C2214yes—
296C2×#384C2212yescomplemented
297C2×#382C2212yescomplemented
298#2280C2211yescharacteristic
299C2×#380C2211yescharacteristic
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2312yes—
309#556—28no—
310#556—216no—
311#555—28no—
312#554—28no—
313#554—216no—
314#553—28no—
315#553—28no—
316#552—216no—
317#552—28no—
318#552—232no—
319#552—216no—
320#552—28no—
321#552—216no—
322#551—216no—
323#551—216no—
324#551—232no—
325#547—28no—
326#546—216no—
327#544—28no—
328#542—216no—
329#541—216no—
330#537—44no—
331#536—28no—
332#536—44no—
333#533—28no—
334#533—216no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341#529—216no—
342#529—216no—
343#529—216no—
344#529—216no—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371#525—28no—
372#525—28no—
373#525—28no—
374#525—44no—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×C22⋊Q8—28no—
390C2×C22⋊Q8—44no—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447#520—28no—
448#519—28no—
449C4×#41—28no—
450C4×#41—216no—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2314yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×D4—28no—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×#117—28no—
490C2×#117—44no—
491C2×#117D4116yescomplemented
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2314yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C22×C4⋊C4—44no—
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2314yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2311yescharacteristic
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2314yes—
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2311yescharacteristic
540C22×C22⋊C4C2311yescharacteristic
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2311yescharacteristic
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2311yescharacteristic
551C22×C42C2312yes—
552C22×C42C2312yes—
553#400C2314yes—
554#400C2314yes—
555#400C2314yes—
556#400C2314yes—
557#400C2314yes—
558#399C2314yes—
559#399C2314yes—
560#399C2314yes—
561#398C2312yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#398C2314yes—
568#398C2314yes—
569#398C2314yes—
570#398C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2312yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2312yes—
596#397C2312yes—
597#396C2312yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2312yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2312yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2312yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#396C2314yes—
626#396C2314yes—
627#395C2314yes—
628#395C2314yes—
629#395C2314yes—
630#395C2314yes—
631#395C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2312yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2312yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#393C2314yes—
652#393C2314yes—
653#393C2314yes—
654#392C2314yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2314yes—
663#391C2314yes—
664#391C2312yes—
665#391C2312yes—
666#391C2311yescharacteristic
667#391C2312yes—
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2314yes—
671#391C2314yes—
672#391C2314yes—
673#391C2312yes—
674#391C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2311yescharacteristic
681#390C2311yescharacteristic
682#390C2314yes—
683#390C2312yes—
684#390C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2314yes—
707#389C2314yes—
708#389C2314yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2311yescharacteristic
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2311yescharacteristic
716#389C2311yescharacteristic
717#389C2314yes—
718#389C2314yes—
719#389C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2312yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#386C2312yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2312yes—
794#385C2312yes—
795#384C2314yes—
796#384C2312yes—
797#384C2312yes—
798#384C2312yes—
799#384C2312yes—
800#384C2314yes—
801#384C2312yes—
802#382C2314yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#382C2312yes—
807#382C2314yes—
808#382C2312yes—
809#381C2314yes—
810#381C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2311yescharacteristic
829#380C2312yes—
830#380C2311yescharacteristic
831#380C2314yes—
832#380C2314yes—
833#380C2314yes—
834#380C2311yescharacteristic
835#380C2312yes—
836#380C2311yescharacteristic
837#380C2314yes—
838#380C2314yes—
839#380C2312yes—
840#380C2312yes—
841#380C2312yes—
842#380C2314yes—
843#380C2314yes—
844#379C2312yes—
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C2×#95C2314yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2411yescharacteristic
858C25C2411yescharacteristic
859C2×#41—28no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—44no—
868C22×Q8—24no—
869C22×Q8—24no—
870C22×Q8—24no—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2414yes—
878C22×D4—24no—
879C22×D4—24no—
880C22×D4—42no—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—44no—
904C23×C4—44no—
905C23×C4—82no—
906C23×C4C2×D418yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—28no—
940C4⋊Q8—28no—
941C4⋊Q8—28no—
942C4⋊Q8—44no—
943#126—28no—
944#126—28no—
945#126—216no—
946#126—28no—
947#126—28no—
948#126—216no—
949#126—216no—
950#126—28no—
951#126—28no—
952#126—216no—
953#125—28no—
954#125—28no—
955#125—24no—
956#125—24no—
957#125—216no—
958#125—216no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—216no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—28no—
967#124—28no—
968#124—44no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—216no—
980#123—216no—
981#123—44no—
982#123—48no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007C22⋊Q8—42no—
1008C22⋊Q8—42no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—84no—
1014C22⋊Q8—84no—
1015C22⋊Q8—84no—
1016#121—28no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—42no—
1027#121—42no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—48no—
1032#121—48no—
1033#121—84no—
1034#121—84no—
1035#120—28no—
1036#120—28no—
1037#120—28no—
1038#120—44no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8—28no—
1046C4×Q8—28no—
1047C4×Q8—28no—
1048C4×Q8—28no—
1049C4×Q8—216no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—44no—
1075C4×D4—44no—
1076#117—24no—
1077#117—28no—
1078#117—24no—
1079#117—216no—
1080#117—24no—
1081#117—24no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—216no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—216no—
1092#117—44no—
1093#117—44no—
1094#117—42no—
1095#117—42no—
1096#117C2×D418yes—
1097#117C2×D418yes—
1098#117C2×D4116yes—
1099#117C2×D4116yes—
1100#117C2×D418yes—
1101#117C2×D418yes—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—24no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—44no—
1111C2×C4⋊C4—44no—
1112C2×C4⋊C4—44no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—42no—
1115C2×C4⋊C4—42no—
1116C2×C4⋊C4—44no—
1117C2×C4⋊C4—48no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4—84no—
1120C2×C4⋊C4—82no—
1121C2×C4⋊C4C2×D418yes—
1122C2×C4⋊C4C2×D418yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C4⋊C4C2411yescharacteristic
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C22⋊C4—24no—
1203C2×C22⋊C4—28no—
1204C2×C22⋊C4—24no—
1205C2×C22⋊C4—28no—
1206C2×C22⋊C4—44no—
1207C2×C22⋊C4—44no—
1208C2×C22⋊C4—82no—
1209C2×C22⋊C4C2×D4116yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C42—24no—
1276C2×C42—28no—
1277C2×C42—28no—
1278C2×C42—44no—
1279C2×C42C2×D4116yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2414yes—
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2414yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2412yes—
1294C2×C42C2411yescharacteristic
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2412yes—
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300C2×C42C2412yes—
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#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343C24—22no—
1344C24—22no—
1345C24—22no—
1346C24—22no—
1347C24—22no—
1348C24—22no—
1349C24—22no—
1350C24—22no—
1351C24—41no—
1352C24—41no—
1353C24—41no—
1354C24—41no—
1355C24—41no—
1356C24C22×D414yes—
1357C24C2511yescharacteristic
1358C24C2512yes—
1359C24C2512yes—
1360C24C2511yescharacteristic
1361C24C2511yescharacteristic
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364#41—432no—
1365#41—416no—
1366#41—416no—
1367C2×Q8—24no—
1368C2×Q8—22no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—22no—
1372C2×Q8—24no—
1373C2×Q8—28no—
1374C2×Q8—24no—
1375C2×Q8—22no—
1376C2×Q8—24no—
1377C2×Q8—22no—
1378C2×Q8—24no—
1379C2×Q8—24no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—22no—
1383C2×Q8—42no—
1384C2×Q8—42no—
1385C2×Q8—44no—
1386C2×Q8—42no—
1387C2×Q8—44no—
1388C2×Q8—416no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—416no—
1440C2×D42−1+414yes—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—232no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—28no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—28no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—41no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—42no—
1508C22×C4—41no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—44no—
1515C22×C4—42no—
1516C22×C4—44no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—41no—
1521C22×C4—42no—
1522C22×C4—416no—
1523C22×C4—816no—
1524C22×C4C22×D414yes—
1525C22×C4C22×D418yes—
1526C22×C4C22×D414yes—
1527C22×C4C22×D414yes—
1528C22×C4C22×D414yes—
1529C22×C4C22×D414yes—
1530C22×C4C22×D418yes—
1531C22×C4C22×D414yes—
1532C22×C4H(5,𝔽2)14yes—
1533C22×C42−1+414yes—
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2514yes—
1539C22×C4C2514yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2514yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2514yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—28no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—28no—
1585C4⋊C4—28no—
1586C4⋊C4—28no—
1587C4⋊C4—28no—
1588C4⋊C4—28no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—28no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—28no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—22no—
1603C4⋊C4—22no—
1604C4⋊C4—22no—
1605C4⋊C4—22no—
1606C4⋊C4—24no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—42no—
1614C4⋊C4—42no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—42no—
1625C4⋊C4—42no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—44no—
1633C4⋊C4—44no—
1634C4⋊C4—42no—
1635C4⋊C4C22×D414yes—
1636C4⋊C4C22×D414yes—
1637C4⋊C4C22×D414yes—
1638C4⋊C4C22×D414yes—
1639C4⋊C4C22×D418yes—
1640C4⋊C4C22×D418yes—
1641C22⋊C4—22no—
1642C22⋊C4—24no—
1643C22⋊C4—28no—
1644C22⋊C4—22no—
1645C22⋊C4—22no—
1646C22⋊C4—22no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—22no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—22no—
1660C22⋊C4—22no—
1661C22⋊C4—22no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—28no—
1669C22⋊C4—28no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—28no—
1675C22⋊C4—24no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—44no—
1691C22⋊C4—42no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—42no—
1701C22⋊C4—42no—
1702C22⋊C4C22×D418yes—
1703C22⋊C4C22×D418yes—
1704C22⋊C4C22×D418yes—
1705C22⋊C4C22×D418yes—
1706C42—22no—
1707C42—24no—
1708C42—22no—
1709C42—24no—
1710C42—24no—
1711C42—24no—
1712C42—22no—
1713C42—22no—
1714C42—24no—
1715C42—28no—
1716C42—28no—
1717C42—28no—
1718C42—24no—
1719C42—24no—
1720C42—24no—
1721C42—42no—
1722C42—42no—
1723C42C22×D418yes—
1724C42C22×D418yes—
1725C42C22×D418yes—
1726C42C22×D418yes—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—21no—
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—28no—
1748C23—28no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—21no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—21no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—21no—
1761C23—22no—
1762C23—22no—
1763C23—21no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—22no—
1768C23—21no—
1769C23—22no—
1770C23—44no—
1771C23—44no—
1772C23—44no—
1773C23—44no—
1774C23—44no—
1775C23—44no—
1776C23—44no—
1777C23—44no—
1778C23—44no—
1779C23—82no—
1780C23—82no—
1781C23—82no—
1782C23C23×D412yes—
1783C23C23×D412yes—
1784C23C23×D412yes—
1785C23C2×H(5,𝔽2)12yes—
1786C23C2×2−1+412yes—
1787C23C2×2−1+412yes—
1788C23C2×2−1+412yes—
1789C23#58512yes—
1790C23C2611yescharacteristic
1791Q8—48no—
1792Q8—48no—
1793Q8—48no—
1794Q8—44no—
1795Q8—44no—
1796Q8—84no—
1797Q8—88no—
1798D4—28no—
1799D4—44no—
1800D4—48no—
1801D4—44no—
1802D4—48no—
1803D4—48no—
1804D4—48no—
1805D4—44no—
1806D4—48no—
1807D4—44no—
1808D4—44no—
1809D4—84no—
1810D4—84no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—164no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—28no—
1830C2×C4—216no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—28no—
1834C2×C4—28no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—24no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—24no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—44no—
1895C2×C4—48no—
1896C2×C4—48no—
1897C2×C4—44no—
1898C2×C4—48no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—48no—
1904C2×C4—48no—
1905C2×C4—88no—
1906C2×C4—84no—
1907C2×C4—84no—
1908C2×C4—82no—
1909C2×C4—84no—
1910C2×C4—84no—
1911C2×C4—84no—
1912C2×C4—88no—
1913C2×C4—84no—
1914C2×C4—88no—
1915C2×C4#537116yes—
1916C2×C4C23×D414yes—
1917C2×C4C23×D414yes—
1918C2×C4C23×D414yes—
1919C2×C4C23×D414yes—
1920C2×C4C23×D412yes—
1921C2×C4C23×D412yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D412yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×H(5,𝔽2)12yes—
1926C2×C4C2×2−1+412yes—
1927C2×C4C2×2−1+412yes—
1928C2×C4C2×2−1+412yes—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—416no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—42no—
1957C22—41no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—41no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—41no—
1968C22—41no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—41no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—88no—
1978C22C2×#53714yes—
1979C22#348914yes—
1980C22C24×D411yescharacteristic
1981C22C22×H(5,𝔽2)11yescharacteristic
1982C22C22×2−1+411yescharacteristic
1983C22C22×2−1+411yescharacteristic
1984C22C2×#58511yescharacteristic
1985C22H(7,𝔽2)11yescharacteristic
1986C222−1+611yescharacteristic
1987C4—24no—
1988C4—24no—
1989C4—22no—
1990C4—24no—
1991C4—24no—
1992C4—22no—
1993C4—22no—
1994C4—41no—
1995C4—42no—
1996C4—42no—
1997C4—41no—
1998C4—44no—
1999C4—42no—
2000C4—41no—
2001C4—42no—
2002C4—44no—
2003C4—42no—
2004C4—44no—
2005C4—42no—
2006C4—41no—
2007C4—41no—
2008C4—42no—
2009C4—42no—
2010C4—44no—
2011C4—42no—
2012C4—42no—
2013C4C2×#53714yes—
2014C4C2×#53714yes—
2015C2—24no—
2016C2—24no—
2017C2—42no—
2018C2—42no—
2019C2—82no—
2020C2—82no—
2021C2—81no—
2022C2C22×#53711yescharacteristic
2023C2C2×#348911yescharacteristic
2024C2#6285311yescharacteristic
2025C2#6292411yescharacteristic
2026C2#6292811yescharacteristic
2027C2#6294211yescharacteristic
2028C2#6294511yescharacteristic
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×#3495C2semidirect
2. C2×#3475C2semidirect
3. #42980C2semidirect
4. #42970C2semidirect
5. #42929C2semidirect
6. #42928C2semidirect
7. #42167C2semidirect
8. #41984C2semidirect
9. #39614C2semidirect
10. #39487C2semidirect
11. #39165C2semidirect
12. #38950C2semidirect
13. #38077C2semidirect
14. #37861C2semidirect
15. #37620C2semidirect
16. #37555C2semidirect
17. #37378C2semidirect
18. #37378C2semidirect
19. #37280C2semidirect
20. #37277C2semidirect
21. #35662C2semidirect
22. #35661C2semidirect
23. #35519C2semidirect
24. #35518C2semidirect
25. #35308C2semidirect
26. #35306C2semidirect
27. #35306C2semidirect
28. #35280C2semidirect
29. #35257C2semidirect
30. #35253C2semidirect
31. #35223C2semidirect
32. #35130C2semidirect
33. #34737C2semidirect
34. C2×#2417C2semidirect
35. C2×#2317C2semidirect
39. C2×#556C22semidirect
42. C2×#554C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
57. C2×#542C22semidirect
58. C2×#541C22semidirect
63. C2×#533C22semidirect
67. C2×#529C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
87. #2857C22semidirect
88. #2851C22semidirect
89. #2851C22semidirect
90. #2850C22semidirect
91. #2850C22semidirect
92. #2850C22semidirect
94. #2823C22semidirect
95. #2823C22semidirect
96. #2822C22semidirect
97. #2820C22semidirect
98. #2727C22semidirect
99. #2726C22semidirect
100. #2726C22semidirect
101. #2725C22semidirect
102. #2725C22semidirect
103. #2725C22semidirect
104. #2722C22semidirect
105. #2722C22semidirect
107. #2715C22semidirect
108. #2715C22semidirect
110. #2707C22semidirect
111. #2707C22semidirect
112. #2705C22semidirect
113. #2704C22semidirect
114. #2704C22semidirect
115. #2704C22semidirect
116. #2702C22semidirect
117. #2702C22semidirect
119. #2695C22semidirect
120. #2695C22semidirect
124. #2683C22semidirect
125. #2681C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
130. #2659C22semidirect
132. #2637C22semidirect
133. #2637C22semidirect
134. #2637C22semidirect
135. #2636C22semidirect
136. #2629C22semidirect
137. #2629C22semidirect
138. #2629C22semidirect
139. #2629C22semidirect
140. #2629C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2621C22semidirect
144. #2621C22semidirect
145. #2621C22semidirect
146. #2620C22semidirect
147. #2620C22semidirect
148. #2620C22semidirect
149. #2620C22semidirect
152. #2618C22semidirect
153. #2609C22semidirect
154. #2609C22semidirect
155. #2582C22semidirect
156. #2582C22semidirect
157. #2582C22semidirect
158. #2582C22semidirect
159. #2581C22semidirect
160. #2581C22semidirect
161. #2581C22semidirect
162. #2580C22semidirect
163. #2538C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2537C22semidirect
169. #2536C22semidirect
170. #2536C22semidirect
171. #2536C22semidirect
172. #2535C22semidirect
174. #2498C22semidirect
175. #2498C22semidirect
176. #2454C22semidirect
177. #2453C22semidirect
178. #2453C22semidirect
179. #2453C22semidirect
180. #2452C22semidirect
181. #2451C22semidirect
182. #2451C22semidirect
183. #2451C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
224. #2417C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
230. #2417C22semidirect
231. #2417C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
252. #2414C22semidirect
268. #2325C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2317C22semidirect
278. #2317C22semidirect
280. #2316C22semidirect
292. C2×#389C22semidirect
293. C2×#389C22semidirect
296. C2×#384C22semidirect
297. C2×#382C22semidirect
491. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34752
#429802
#429702
#429292
#429282
#421672
#419842
#396142
#394872
#391652
#389502
#380772
#378612
#376202
#375552
#373782
#372802
#372772
#356622
#356612
#355192
#355182
#353082
#353062
#352802
#352572
#352532
#352232
#351302
#347372
C2×#24172
C2×#23172