Finite Group Databasebeta

← #7720521

Subgroups — #7720521

Order 512.

6609 conjugacy classes of subgroups.

The subgroup lattice has 1899 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic
3#51413C214yesmaximal, complemented
4#51412C214yesmaximal, complemented
5#50887C214yesmaximal, complemented
6#50885C214yesmaximal, complemented
7#45429C212yesmaximal, complemented
8#45424C212yesmaximal, complemented
9#45300C212yesmaximal, complemented
10#45185C212yesmaximal, complemented
11#45175C212yesmaximal, complemented
12#45108C212yesmaximal, complemented
13#45084C212yesmaximal, complemented
14#44890C212yesmaximal, complemented
15#39599C211yesmaximal, characteristic, complemented
16#39597C211yesmaximal, characteristic, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38923C212yesmaximal, complemented
19#38921C211yesmaximal, characteristic, complemented
20#38915C212yesmaximal, complemented
21#37844C212yesmaximal, complemented
22#37837C212yesmaximal, complemented
23#37378C212yesmaximal, complemented
24#37279C212yesmaximal, complemented
25#36505C211yesmaximal, characteristic, complemented
26#36456C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35310C212yesmaximal, complemented
30#35280C211yesmaximal, characteristic, complemented
31#35280C211yesmaximal, characteristic, complemented
32#35253C212yesmaximal, complemented
33#35200C211yesmaximal, characteristic, complemented
34#34627C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#557C2211yescharacteristic, complemented
41#3475—216no—
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#556C2211yescharacteristic
45C2×#556C2212yescomplemented
46C2×#555C2211yescharacteristic
47C2×#554C2211yescharacteristic
48C2×#554C2211yescharacteristic
49C2×#553C2212yes—
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#552C2211yescharacteristic
53C2×#552C2212yescomplemented
54C2×#551C2212yes—
55C2×#551C2212yes—
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#542C2212yes—
61C2×#541C2212yescomplemented
62C2×#541C2212yescomplemented
63C2×#541C2214yescomplemented
64C2×#533C2211yescharacteristic
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2211yescharacteristic, complemented
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#525C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2857C2212yescomplemented
80#2857C2211yescharacteristic, complemented
81#2857C2212yescomplemented
82#2857C2211yescharacteristic, complemented
83#2857C2212yescomplemented
84#2851C2212yescomplemented
85#2851C2212yescomplemented
86#2851C2212yescomplemented
87#2848C2212yes—
88#2848C2212yes—
89#2726C2214yescomplemented
90#2726C2214yescomplemented
91#2725C2214yescomplemented
92#2722C2214yescomplemented
93#2722C2214yescomplemented
94#2722C2214yescomplemented
95#2722C2214yescomplemented
96#2720C2214yescomplemented
97#2719C2214yescomplemented
98#2719C2214yescomplemented
99#2717C2214yescomplemented
100#2716C2214yescomplemented
101#2715C2214yescomplemented
102#2713C2214yescomplemented
103#2708C2214yes—
104#2707C2214yes—
105#2707C2214yescomplemented
106#2704C2214yes—
107#2704C2214yescomplemented
108#2704C2214yescomplemented
109#2698C2214yescomplemented
110#2698C2214yescomplemented
111#2698C2214yescomplemented
112#2695C2214yes—
113#2695C2214yes—
114#2695C2214yes—
115#2695C2214yescomplemented
116#2695C2214yescomplemented
117#2694C2214yescomplemented
118#2691C2214yes—
119#2691C2214yescomplemented
120#2687C2214yes—
121#2686C2214yescomplemented
122#2685C2214yes—
123#2684C2214yes—
124#2681C2214yes—
125#2680C2214yescomplemented
126#2677C2214yes—
127#2677C2214yescomplemented
128#2674C2214yescomplemented
129#2638C2212yes—
130#2638C2212yescomplemented
131#2638C2214yescomplemented
132#2634C2212yescomplemented
133#2633C2212yes—
134#2629C2212yes—
135#2629C2212yes—
136#2629C2212yescomplemented
137#2629C2214yescomplemented
138#2628C2211yescharacteristic
139#2628C2212yes—
140#2628C2211yescharacteristic, complemented
141#2625C2211yescharacteristic, complemented
142#2625C2212yescomplemented
143#2625C2212yescomplemented
144#2625C2211yescharacteristic, complemented
145#2621C2211yescharacteristic
146#2621C2211yescharacteristic, complemented
147#2616C2211yescharacteristic
148#2616C2211yescharacteristic
149#2599C2214yescomplemented
150#2584C2212yescomplemented
151#2582C2212yescomplemented
152#2582C2211yescharacteristic, complemented
153#2582C2211yescharacteristic, complemented
154#2582C2212yescomplemented
155#2582C2212yescomplemented
156#2582C2212yescomplemented
157#2581C2212yescomplemented
158#2567C2211yescharacteristic, complemented
159#2563C2211yescharacteristic
160#2563C2212yescomplemented
161#2562C2212yescomplemented
162#2559C2214yescomplemented
163#2553C2214yes—
164#2553C2214yescomplemented
165#2552C2212yescomplemented
166#2551C2212yescomplemented
167#2547C2212yes—
168#2547C2211yescharacteristic
169#2547C2214yescomplemented
170#2546C2211yescharacteristic, complemented
171#2546C2212yescomplemented
172#2546C2212yescomplemented
173#2538C2212yes—
174#2538C2212yes—
175#2538C2211yescharacteristic
176#2538C2211yescharacteristic
177#2538C2212yes—
178#2538C2212yescomplemented
179#2536C2212yescomplemented
180#2534C2214yes—
181#2499C2212yescomplemented
182#2496C2214yescomplemented
183#2492C2212yes—
184#2489C2212yescomplemented
185#2487C2212yes—
186#2486C2212yescomplemented
187#2485C2212yes—
188#2485C2212yescomplemented
189#2485C2212yescomplemented
190#2485C2212yescomplemented
191#2480C2214yes—
192#2480C2214yes—
193#2480C2214yes—
194#2478C2214yescomplemented
195#2478C2214yescomplemented
196#2478C2214yescomplemented
197#2475C2214yes—
198#2475C2214yes—
199#2475C2214yescomplemented
200#2473C2214yescomplemented
201#2473C2214yescomplemented
202#2470C2214yes—
203#2466C2214yes—
204#2465C2214yescomplemented
205#2460C2214yescomplemented
206#2458C2214yes—
207#2454C2212yes—
208#2453C2212yescomplemented
209#2453C2214yescomplemented
210#2452C2212yes—
211#2452C2214yescomplemented
212#2451C2212yescomplemented
213#2450C2214yes—
214#2447C2212yes—
215#2447C2212yes—
216#2446C2212yescomplemented
217#2446C2212yescomplemented
218#2442C2212yes—
219#2442C2214yescomplemented
220#2441C2214yes—
221#2440C2214yescomplemented
222#2439C2214yes—
223#2439C2212yescomplemented
224#2439C2214yescomplemented
225#2438C2214yescomplemented
226#2438C2214yescomplemented
227#2438C2214yescomplemented
228#2437C2214yes—
229#2437C2214yes—
230#2437C2214yes—
231#2435C2212yes—
232#2432C2212yes—
233#2432C2212yes—
234#2429C2212yes—
235#2429C2212yes—
236#2429C2214yescomplemented
237#2429C2212yescomplemented
238#2427C2212yes—
239#2427C2214yes—
240#2425C2214yescomplemented
241#2423C2212yes—
242#2422C2212yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2212yes—
246#2417C2212yescomplemented
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2417C2212yescomplemented
250#2417C2212yescomplemented
251#2417C2214yescomplemented
252#2415C2212yes—
253#2415C2212yescomplemented
254#2411C2214yes—
255#2399C2212yescomplemented
256#2398C2212yes—
257#2395C2212yes—
258#2395C2212yescomplemented
259#2383C2214yescomplemented
260#2367C2212yes—
261#2367C2212yes—
262#2362C2212yescomplemented
263#2361C2212yes—
264#2360C2212yes—
265#2360C2212yescomplemented
266#2355C2211yescharacteristic, complemented
267#2354C2211yescharacteristic
268#2352C2212yescomplemented
269#2351C2212yescomplemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271#2349C2212yes—
272D4×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yescomplemented
274#2341C2212yes—
275D4×C22⋊C4C2212yes—
276#2330C2212yescomplemented
277#2327C2212yescomplemented
278#2326C2212yes—
279#2326C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2322C2214yescomplemented
283#2317C2212yescomplemented
284#2317C2212yescomplemented
285#2316C2212yescomplemented
286#2316C2212yescomplemented
287#2316C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yes—
290#2311C2212yes—
291C4×C22⋊Q8C2211yescharacteristic
292C4×C22⋊Q8C2211yescharacteristic
293C4×C22⋊Q8C2212yescomplemented
294C4×C22⋊Q8C2211yescharacteristic, complemented
295C4×C22⋊Q8C2211yescharacteristic, complemented
296C4×C22⋊Q8C2212yescomplemented
297C2×#384C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299#2280C2212yes—
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#563—232no—
307Q82—28no—
308#557—216no—
309#557—28no—
310#556—28no—
311#556—216no—
312#556—28no—
313#556—216no—
314#555—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#552—216no—
319#552—28no—
320#552—28no—
321#552—216no—
322#551—216no—
323#551—216no—
324#547—28no—
325#546—28no—
326#546—28no—
327#544—216no—
328#542—216no—
329#541—232no—
330#541—216no—
331#541—216no—
332#533—28no—
333#533—28no—
334#533—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348#529—216no—
349#529—28no—
350#529—216no—
351#529D4116yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2314yes—
377C2×#125C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385#525—216no—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#120C2312yes—
434C2×#120C2312yes—
435C4×#41—28no—
436C4×#41—28no—
437C4×#41—28no—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2314yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×D4—28no—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×#117—216no—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2314yes—
513C22×C42C2312yes—
514C22×C42C2312yes—
515C22×C42C2311yescharacteristic
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518#400C2314yes—
519#400C2314yes—
520#400C2312yes—
521#400C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2312yes—
525#400C2314yes—
526#400C2312yes—
527#400C2314yes—
528#399C2312yes—
529#399C2314yes—
530#399C2312yes—
531#399C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2314yes—
601#395C2312yes—
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2314yes—
619#393C2312yes—
620#393C2314yes—
621#393C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2312yes—
631#391C2311yescharacteristic
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2314yes—
637#391C2314yes—
638#391C2312yes—
639#391C2314yes—
640#391C2311yescharacteristic
641#391C2311yescharacteristic
642#391C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2312yes—
649#390C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2314yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2312yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2311yescharacteristic
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
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#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#384C2312yes—
771#384C2312yes—
772#384C2312yes—
773#384C2314yes—
774#384C2312yes—
775#384C2311yescharacteristic
776#384C2311yescharacteristic
777#384C2312yes—
778#383C2312yes—
779#382C2312yes—
780#382C2314yes—
781#382C2311yescharacteristic
782#382C2311yescharacteristic
783#382C2312yes—
784#382C2314yes—
785#381C2312yes—
786#381C2314yes—
787#381C2314yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2311yescharacteristic
817#380C2314yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2314yes—
822#380C2314yes—
823#380C2314yes—
824#379C2314yes—
825#379C2314yes—
826#379C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850C2×#95C2314yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4—42no—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C23×C4—28no—
885C23×C4—28no—
886C23×C4—44no—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2411yescharacteristic
908C4⋊Q8—24no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—216no—
912C4⋊Q8—28no—
913C4⋊Q8—216no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—24no—
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—44no—
920C4⋊Q8—84no—
921#126—28no—
922#126—28no—
923#126—28no—
924#126—28no—
925#126—28no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126C2×D4116yes—
933#125—28no—
934#125—28no—
935#125—24no—
936#125—28no—
937#125—216no—
938#125—216no—
939#125—216no—
940#125—28no—
941#125—216no—
942#125—216no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125C2×D418yes—
947#124—24no—
948#124—28no—
949#124—28no—
950#124—216no—
951#124—28no—
952#124—28no—
953#124C2×D418yes—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—84no—
963#123C2×D4116yes—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—44no—
985C22⋊Q8—42no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—42no—
990C22⋊Q8—82no—
991C22⋊Q8—84no—
992C22⋊Q8—84no—
993C22⋊Q8—82no—
994C22⋊Q8C2×D418yes—
995#121—28no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—28no—
1000#121C2×D418yes—
1001#120—28no—
1002#120—28no—
1003C4×Q8—24no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8—28no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—44no—
1021C4×Q8C2×D418yes—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—44no—
1042C4×D4—84no—
1043C4×D4C2×D418yes—
1044C4×D4C2×D4116yes—
1045#117—28no—
1046#117—24no—
1047#117—24no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—28no—
1054#117—24no—
1055#117—28no—
1056#117—28no—
1057#117—216no—
1058#117—24no—
1059#117—28no—
1060#117—24no—
1061#117—28no—
1062#117—44no—
1063#117C2×D4116yes—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—24no—
1068C2×C4⋊C4—44no—
1069C2×C4⋊C4—44no—
1070C2×C4⋊C4—44no—
1071C2×C4⋊C4—82no—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—28no—
1160C2×C22⋊C4—84no—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C42—28no—
1217C2×C42—28no—
1218C2×C42—24no—
1219C2×C42—24no—
1220C2×C42C2×D418yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302C24—24no—
1303C24—24no—
1304C24—24no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24C2511yescharacteristic
1310C24C2512yes—
1311C24C2511yescharacteristic
1312C24C2511yescharacteristic
1313C24C2512yes—
1314#41—416no—
1315#41—416no—
1316#41—416no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—28no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—22no—
1337C2×Q8—41no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—44no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—42no—
1346C2×Q8C22×D414yes—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—416no—
1375C2×D4C22×D414yes—
1376C2×D4C22×D418yes—
1377C2×D42−1+414yes—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—41no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—432no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—42no—
1428C22×C4—41no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4C22×D414yes—
1438C22×C4C22×D414yes—
1439C22×C4C22×D418yes—
1440C22×C4C22×D414yes—
1441C22×C42−1+414yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4C22×D418yes—
1552C4⋊C4C22×D418yes—
1553C4⋊C4C22×D414yes—
1554C4⋊C4C22×D414yes—
1555C4⋊C4C22×D418yes—
1556C4⋊C4C22×D418yes—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4C22×D418yes—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C22⋊C4C22×D418yes—
1612C42—22no—
1613C42—24no—
1614C42—24no—
1615C42—22no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—28no—
1624C42—24no—
1625C42—24no—
1626C42—28no—
1627C42—28no—
1628C42—28no—
1629C42—24no—
1630C42—24no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42C22×D414yes—
1635C42C22×D414yes—
1636C42C22×D418yes—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—21no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—48no—
1671C23—48no—
1672C23—48no—
1673C23—84no—
1674C23—84no—
1675C23—84no—
1676C23—84no—
1677C23C23×D412yes—
1678C23C23×D414yes—
1679C23C2×2−1+412yes—
1680C23C2×2−1+414yes—
1681C23C2611yescharacteristic
1682Q8—28no—
1683Q8—44no—
1684Q8—44no—
1685Q8—44no—
1686Q8—48no—
1687Q8—44no—
1688Q8—84no—
1689Q8—84no—
1690Q8—84no—
1691Q8—88no—
1692D4—28no—
1693D4—28no—
1694D4—48no—
1695D4—44no—
1696D4—44no—
1697D4—48no—
1698D4—48no—
1699D4—44no—
1700D4—48no—
1701D4—84no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—28no—
1719C2×C4—216no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—82no—
1793C2×C4—84no—
1794C2×C4—82no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4—164no—
1798C2×C4—164no—
1799C2×C4C23×D412yes—
1800C2×C4C23×D414yes—
1801C2×C4C23×D414yes—
1802C2×C4C23×D412yes—
1803C2×C4C23×D412yes—
1804C2×C4C23×D412yes—
1805C2×C4C23×D414yes—
1806C2×C4C23×D412yes—
1807C2×C4C23×D412yes—
1808C2×C4C2×2−1+412yes—
1809C2×C4C2×2−1+412yes—
1810C2×C4C2×2−1+412yes—
1811C2×C4#58512yes—
1812C2×C4#58512yes—
1813C22—22no—
1814C22—24no—
1815C22—22no—
1816C22—22no—
1817C22—24no—
1818C22—24no—
1819C22—22no—
1820C22—24no—
1821C22—22no—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—41no—
1835C22—42no—
1836C22—42no—
1837C22—41no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—816no—
1849C22C24×D411yescharacteristic
1850C22C22×2−1+411yescharacteristic
1851C22C22×2−1+411yescharacteristic
1852C22C2×#58511yescharacteristic
1853C22C2×#58511yescharacteristic
1854C22H(7,𝔽2)11yescharacteristic
1855C222−1+611yescharacteristic
1856C4—22no—
1857C4—24no—
1858C4—22no—
1859C4—22no—
1860C4—24no—
1861C4—22no—
1862C4—22no—
1863C4—24no—
1864C4—42no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—44no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—41no—
1876C4—44no—
1877C4—42no—
1878C4—42no—
1879C4—42no—
1880C4—42no—
1881C4—44no—
1882C4—42no—
1883C4—44no—
1884C4#348914yes—
1885C4#348914yes—
1886C2—42no—
1887C2—44no—
1888C2—44no—
1889C2—42no—
1890C2—81no—
1891C2C2×#348911yescharacteristic
1892C2C2×#348911yescharacteristic
1893C2#6285311yescharacteristic
1894C2#6294511yescharacteristic
1895C2#6295011yescharacteristic
1896C2#6295911yescharacteristic
1897C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3475C2
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×#3555C2semidirect
3. #51413C2semidirect
4. #51412C2semidirect
5. #50887C2semidirect
6. #50885C2semidirect
7. #45429C2semidirect
8. #45424C2semidirect
9. #45300C2semidirect
10. #45185C2semidirect
11. #45175C2semidirect
12. #45108C2semidirect
13. #45084C2semidirect
14. #44890C2semidirect
15. #39599C2semidirect
16. #39597C2semidirect
17. #38923C2semidirect
18. #38923C2semidirect
19. #38921C2semidirect
20. #38915C2semidirect
21. #37844C2semidirect
22. #37837C2semidirect
23. #37378C2semidirect
24. #37279C2semidirect
25. #36505C2semidirect
26. #36456C2semidirect
27. #36161C2semidirect
28. #36154C2semidirect
29. #35310C2semidirect
30. #35280C2semidirect
31. #35280C2semidirect
32. #35253C2semidirect
33. #35200C2semidirect
34. #34627C2semidirect
35. #34384C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
45. C2×#556C22semidirect
53. C2×#552C22semidirect
59. C2×#544C22semidirect
61. C2×#541C22semidirect
62. C2×#541C22semidirect
63. C2×#541C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
79. #2857C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2851C22semidirect
85. #2851C22semidirect
86. #2851C22semidirect
89. #2726C22semidirect
90. #2726C22semidirect
91. #2725C22semidirect
92. #2722C22semidirect
93. #2722C22semidirect
94. #2722C22semidirect
95. #2722C22semidirect
96. #2720C22semidirect
97. #2719C22semidirect
98. #2719C22semidirect
99. #2717C22semidirect
100. #2716C22semidirect
101. #2715C22semidirect
102. #2713C22semidirect
105. #2707C22semidirect
107. #2704C22semidirect
108. #2704C22semidirect
109. #2698C22semidirect
110. #2698C22semidirect
111. #2698C22semidirect
115. #2695C22semidirect
116. #2695C22semidirect
117. #2694C22semidirect
119. #2691C22semidirect
121. #2686C22semidirect
125. #2680C22semidirect
127. #2677C22semidirect
128. #2674C22semidirect
130. #2638C22semidirect
131. #2638C22semidirect
132. #2634C22semidirect
136. #2629C22semidirect
137. #2629C22semidirect
140. #2628C22semidirect
141. #2625C22semidirect
142. #2625C22semidirect
143. #2625C22semidirect
144. #2625C22semidirect
146. #2621C22semidirect
149. #2599C22semidirect
150. #2584C22semidirect
151. #2582C22semidirect
152. #2582C22semidirect
153. #2582C22semidirect
154. #2582C22semidirect
155. #2582C22semidirect
156. #2582C22semidirect
157. #2581C22semidirect
158. #2567C22semidirect
160. #2563C22semidirect
161. #2562C22semidirect
162. #2559C22semidirect
164. #2553C22semidirect
165. #2552C22semidirect
166. #2551C22semidirect
169. #2547C22semidirect
170. #2546C22semidirect
171. #2546C22semidirect
172. #2546C22semidirect
178. #2538C22semidirect
179. #2536C22semidirect
181. #2499C22semidirect
182. #2496C22semidirect
184. #2489C22semidirect
186. #2486C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
194. #2478C22semidirect
195. #2478C22semidirect
196. #2478C22semidirect
199. #2475C22semidirect
200. #2473C22semidirect
201. #2473C22semidirect
204. #2465C22semidirect
205. #2460C22semidirect
208. #2453C22semidirect
209. #2453C22semidirect
211. #2452C22semidirect
212. #2451C22semidirect
216. #2446C22semidirect
217. #2446C22semidirect
219. #2442C22semidirect
221. #2440C22semidirect
223. #2439C22semidirect
224. #2439C22semidirect
225. #2438C22semidirect
226. #2438C22semidirect
227. #2438C22semidirect
236. #2429C22semidirect
237. #2429C22semidirect
240. #2425C22semidirect
246. #2417C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
249. #2417C22semidirect
250. #2417C22semidirect
251. #2417C22semidirect
253. #2415C22semidirect
255. #2399C22semidirect
258. #2395C22semidirect
259. #2383C22semidirect
262. #2362C22semidirect
265. #2360C22semidirect
266. #2355C22semidirect
268. #2352C22semidirect
269. #2351C22semidirect
270. Q8×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
276. #2330C22semidirect
277. #2327C22semidirect
282. #2322C22semidirect
283. #2317C22semidirect
284. #2317C22semidirect
285. #2316C22semidirect
286. #2316C22semidirect
287. #2316C22semidirect
288. #2314C22semidirect
293. C4×C22⋊Q8C22semidirect
294. C4×C22⋊Q8C22semidirect
295. C4×C22⋊Q8C22semidirect
296. C4×C22⋊Q8C22semidirect
297. C2×#384C22semidirect
298. #2283C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C2×#34752
#514132
#514122
#508872
#508852
#454292
#454242
#453002
#451852
#451752
#451082
#450842
#448902
#395992
#395972
#389232
#389212
#389152
#378442
#378372
#373782
#372792
#365052
#364562
#361612
#361542
#353102
#352802
#352532
#352002
#346272
#343842