Finite Group Databasebeta

← #7681695

Subgroups — #7681695

Order 512.

7490 conjugacy classes of subgroups.

The subgroup lattice has 1749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59812C212yesmaximal, complemented
4#59770C212yesmaximal, complemented
5#59213C212yesmaximal, complemented
6#59184C214yesmaximal, complemented
7#59158C214yesmaximal, complemented
8#59129C212yesmaximal, complemented
9#45356C211yesmaximal, characteristic, complemented
10#45354C211yesmaximal, characteristic, complemented
11#45271C211yesmaximal, characteristic, complemented
12#45143C211yesmaximal, characteristic, complemented
13#45141C211yesmaximal, characteristic, complemented
14#45139C211yesmaximal, characteristic, complemented
15#44936C211yesmaximal, characteristic, complemented
16#44932C211yesmaximal, characteristic, complemented
17#44456C214yesmaximal, complemented
18#43901C214yesmaximal, complemented
19#39861C214yesmaximal, complemented
20#38377C214yesmaximal, complemented
21#38365C214yesmaximal, complemented
22#36221C214yesmaximal, complemented
23#35654C212yesmaximal, complemented
24#35570C212yesmaximal, complemented
25#35226C212yesmaximal, complemented
26#35210C211yesmaximal, characteristic, complemented
27#34909C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34288C212yesmaximal, complemented
30#34222C211yesmaximal, characteristic, complemented
31#34070C211yesmaximal, characteristic, complemented
32#3517—216no—
33#3481—216no—
34C2×#559C2211yescharacteristic
35C2×#557C2211yescharacteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553C2212yes—
39C2×#553C2212yes—
40C2×#553C2212yescomplemented
41C2×#553C2214yescomplemented
42C2×#551C2214yes—
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×#550C2212yescomplemented
46C2×#550C2212yescomplemented
47C2×#547C2211yescharacteristic, complemented
48C2×#547C2212yescomplemented
49C2×#546C2212yes—
50C2×#546C2212yes—
51C2×#546C2212yes—
52C2×D42C2211yescharacteristic
53C2×#540C2214yescomplemented
54C2×#540C2212yescomplemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2212yescomplemented
58C2×#529C2212yes—
59C2×#529C2212yes—
60C2×#529C2212yescomplemented
61C2×#529C2211yescharacteristic, complemented
62C2×#525C2214yes—
63C2×#520C2212yescomplemented
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2211yescharacteristic, complemented
67C22×C4×D4C2212yes—
68C22×C4×D4C2212yes—
69#2852C2214yescomplemented
70#2849C2214yescomplemented
71#2847C2214yescomplemented
72#2732C2214yescomplemented
73#2729C2214yescomplemented
74#2729C2214yescomplemented
75#2728C2214yescomplemented
76#2720C2214yescomplemented
77#2719C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2214yescomplemented
84#2696C2214yescomplemented
85#2694C2214yescomplemented
86#2688C2214yes—
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2686C2214yescomplemented
90#2671C2214yes—
91#2671C2214yescomplemented
92#2669C2214yes—
93#2669C2214yescomplemented
94#2668C2214yes—
95#2668C2214yescomplemented
96#2638C2212yescomplemented
97#2635C2212yescomplemented
98#2635C2214yescomplemented
99#2630C2214yescomplemented
100#2611C2212yescomplemented
101#2611C2212yescomplemented
102#2610C2212yescomplemented
103#2610C2212yescomplemented
104#2604C2212yescomplemented
105#2603C2212yes—
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2600C2214yescomplemented
109#2600C2214yescomplemented
110#2599C2212yescomplemented
111#2598C2212yes—
112#2581C2211yescharacteristic, complemented
113#2581C2211yescharacteristic, complemented
114#2580C2211yescharacteristic
115#2580C2211yescharacteristic, complemented
116#2579C2214yescomplemented
117#2564C2212yescomplemented
118#2559C2214yescomplemented
119#2559C2214yescomplemented
120#2553C2214yescomplemented
121#2553C2214yescomplemented
122#2552C2212yescomplemented
123#2544C2212yescomplemented
124#2543C2212yescomplemented
125#2543C2214yescomplemented
126#2540C2212yescomplemented
127#2537C2212yes—
128#2537C2214yescomplemented
129#2536C2211yescharacteristic
130#2536C2211yescharacteristic, complemented
131#2535C2211yescharacteristic
132#2535C2211yescharacteristic
133#2535C2214yescomplemented
134#2534C2214yescomplemented
135#2500C2214yescomplemented
136#2498C2212yescomplemented
137#2498C2214yescomplemented
138#2496C2214yescomplemented
139#2490C2212yescomplemented
140#2489C2212yescomplemented
141#2486C2214yescomplemented
142#2485C2214yescomplemented
143#2485C2212yescomplemented
144#2485C2212yescomplemented
145#2484C2214yescomplemented
146#2480C2214yescomplemented
147#2478C2214yescomplemented
148#2473C2214yescomplemented
149#2470C2214yescomplemented
150#2468C2214yescomplemented
151#2468C2214yescomplemented
152#2468C2214yescomplemented
153#2466C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2214yescomplemented
158#2460C2214yes—
159#2457C2214yescomplemented
160#2457C2214yescomplemented
161#2457C2214yescomplemented
162#2456C2214yes—
163#2455C2214yescomplemented
164#2454C2212yes—
165#2453C2212yescomplemented
166#2447C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2433C2212yes—
174#2432C2212yescomplemented
175#2430C2212yes—
176#2429C2212yescomplemented
177#2428C2212yes—
178#2428C2212yes—
179#2428C2214yescomplemented
180#2428C2214yescomplemented
181#2427C2212yescomplemented
182#2425C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2423C2214yescomplemented
187#2422C2214yescomplemented
188#2421C2214yescomplemented
189#2420C2212yes—
190#2420C2212yescomplemented
191#2419C2214yescomplemented
192#2418C2214yes—
193#2418C2214yescomplemented
194#2417C2212yescomplemented
195#2416C2212yescomplemented
196#2410C2214yes—
197#2410C2214yes—
198#2408C2212yes—
199#2407C2212yes—
200#2407C2212yes—
201#2407C2214yescomplemented
202#2407C2214yescomplemented
203#2407C2212yescomplemented
204#2406C2214yescomplemented
205#2404C2214yes—
206#2399C2211yescharacteristic, complemented
207#2398C2211yescharacteristic
208#2398C2211yescharacteristic, complemented
209#2397C2211yescharacteristic
210#2395C2212yescomplemented
211#2388C2212yes—
212#2372C2214yescomplemented
213#2367C2212yes—
214#2364C2214yescomplemented
215#2364C2214yescomplemented
216#2361C2212yes—
217#2361C2214yescomplemented
218#2361C2214yescomplemented
219#2360C2212yescomplemented
220#2359C2214yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2358C2214yescomplemented
224#2353C2214yescomplemented
225D4×C4⋊C4C2212yescomplemented
226D4×C4⋊C4C2212yescomplemented
227#2342C2214yescomplemented
228#2339C2212yescomplemented
229#2339C2214yescomplemented
230D4×C22⋊C4C2212yes—
231#2331C2211yescharacteristic, complemented
232#2331C2211yescharacteristic, complemented
233#2328C2211yescharacteristic
234#2328C2211yescharacteristic
235#2328C2211yescharacteristic
236#2328C2211yescharacteristic
237#2327C2211yescharacteristic, complemented
238#2327C2211yescharacteristic, complemented
239#2326C2211yescharacteristic
240#2326C2211yescharacteristic
241#2326C2211yescharacteristic, complemented
242#2326C2211yescharacteristic, complemented
243#2325C2214yescomplemented
244#2325C2214yescomplemented
245#2325C2214yescomplemented
246#2324C2212yes—
247#2323C2212yescomplemented
248#2322C2214yescomplemented
249#2319C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#120C2214yescomplemented
257#2297C2211yescharacteristic
258#2297C2211yescharacteristic, complemented
259#2290C2214yescomplemented
260#2290C2214yescomplemented
261#2290C2214yescomplemented
262#2290C2212yescomplemented
263#2290C2212yescomplemented
264C2×#385C2214yescomplemented
265#2285C2211yescharacteristic, complemented
266#2283C2211yescharacteristic, complemented
267#2275C2212yescomplemented
268C2×#376C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2312yes—
274C22×#41C2312yes—
275C22×#41C2312yes—
276C23×D4C2312yes—
277C23×D4C2312yes—
278C24×C4C2314yes—
279#559—28no—
280#557—28no—
281#554—28no—
282#554—28no—
283#553—216no—
284#553—216no—
285#553—216no—
286#553—232no—
287#551—232no—
288#550—216no—
289#550—28no—
290#550—28no—
291#550—216no—
292#547—216no—
293#547—28no—
294#546—216no—
295#546—216no—
296#546—216no—
297D42—28no—
298#540—232no—
299#540—216no—
300#532—216no—
301#532—28no—
302#532D4116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2314yes—
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311#529—216no—
312#529—216no—
313#529—216no—
314#529—28no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330#525—232no—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383#520—216no—
384C4×#41—28no—
385C4×#41—28no—
386C4×#41—28no—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×D4—216no—
397C2×C4×D4—216no—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2314yes—
447C22×C4⋊C4C2314yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C42C2312yes—
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#399C2312yes—
471#399C2312yes—
472#399C2312yes—
473#399C2312yes—
474#399C2314yes—
475#399C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2312yes—
480#398C2312yes—
481#398C2312yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2312yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#395C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#393C2312yes—
534#393C2312yes—
535#393C2312yes—
536#393C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2314yes—
707#383C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760#376C2311yescharacteristic
761#376C2311yescharacteristic
762#376C2311yescharacteristic
763#376C2311yescharacteristic
764#376C2312yes—
765#376C2312yes—
766#376C2312yes—
767C2×#95C2312yes—
768C2×#95C2312yes—
769C2×#95C2314yes—
770C2×#95C2314yes—
771C25C2414yes—
772C2×#41—28no—
773C2×#41—24no—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—24no—
778C2×#41—24no—
779C2×#41—24no—
780C2×#41—24no—
781C2×#41—44no—
782C2×#41—42no—
783C2×#41—42no—
784C2×#41—44no—
785C2×#41—84no—
786C2×#41—84no—
787C2×#41—84no—
788C2×#41C2×D4116yes—
789C22×Q8C2411yescharacteristic
790C22×Q8C2411yescharacteristic
791C22×Q8C2411yescharacteristic
792C22×Q8C2411yescharacteristic
793C22×Q8C2412yes—
794C22×D4—28no—
795C22×D4—28no—
796C22×D4—28no—
797C22×D4—44no—
798C22×D4—48no—
799C22×D4C2411yescharacteristic
800C22×D4C2411yescharacteristic
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2411yescharacteristic
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C23×C4—216no—
824C23×C4—84no—
825C23×C4—84no—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8C2×D418yes—
853#127—28no—
854#127—216no—
855#127—28no—
856#127—24no—
857#127C2×D418yes—
858#126—216no—
859#126—216no—
860#126—216no—
861#126—28no—
862#125—28no—
863#125—28no—
864#125—216no—
865#125—28no—
866#125—24no—
867#124—28no—
868#124—28no—
869#124—24no—
870#124—24no—
871#124C2×D4116yes—
872#124#4118yescomplemented
873#123—216no—
874#123—216no—
875#123—216no—
876#123—28no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—216no—
882#123—216no—
883#123—84no—
884C22⋊Q8—216no—
885C22⋊Q8—216no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—24no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892#121—216no—
893#121—216no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—216no—
898#121—216no—
899#121—216no—
900#121—28no—
901#121—216no—
902#121—28no—
903#121—24no—
904#121—216no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—44no—
915#121—84no—
916#121—84no—
917#121C2×D4116yes—
918#121C2×D4116yes—
919#120—216no—
920#120—216no—
921#120—216no—
922#120—48no—
923#120—48no—
924#120—84no—
925C4×Q8—28no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—216no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—216no—
951C4×D4—216no—
952C4×D4—216no—
953C4×D4—216no—
954C4×D4—216no—
955C4×D4—216no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—84no—
969C4×D4—84no—
970C4×D4—84no—
971C4×D4—84no—
972C4×D4C2×D4116yes—
973C4×D4C2×D4116yes—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—216no—
978#117—216no—
979#117—28no—
980#117—28no—
981#117—28no—
982#117—28no—
983C2×C4⋊C4—216no—
984C2×C4⋊C4—28no—
985C2×C4⋊C4—28no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—84no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C22⋊C4—216no—
1036C2×C22⋊C4—216no—
1037C2×C22⋊C4—216no—
1038C2×C22⋊C4—84no—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C42—28no—
1102C2×C42—28no—
1103C2×C42—28no—
1104C2×C42—24no—
1105C2×C42—42no—
1106C2×C42C2×D418yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—28no—
1180C24—28no—
1181C24—28no—
1182C24—44no—
1183C24—44no—
1184C24—44no—
1185C24—44no—
1186C24C2512yes—
1187C24C2512yes—
1188C24C2514yes—
1189C24C2511yescharacteristic
1190C24C2512yes—
1191C24C2512yes—
1192#41—416no—
1193#41—416no—
1194#41—432no—
1195#41—416no—
1196#41—816no—
1197#41—816no—
1198#41—816no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8C22×D418yes—
1210C2×Q8C2×#4114yes—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—432no—
1275C2×D4—432no—
1276C2×D4C22×D418yes—
1277C2×D4C22×D418yes—
1278C2×D4C22×D418yes—
1279C2×D4C22×D4116yes—
1280C2×D4C2×#4114yes—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—832no—
1344C22×C4C22×D414yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×D414yes—
1347C22×C4C22×D4116yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—22no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—24no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4C22×D418yes—
1419C4⋊C4C22×D418yes—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4C22×D4116yes—
1480C22⋊C4C22×D4116yes—
1481C22⋊C4C2×#41116yes—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—28no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—42no—
1498C42—44no—
1499C42—44no—
1500C42—44no—
1501C42C22×D414yes—
1502C42C22×D414yes—
1503C42C22×D414yes—
1504C42C22×D414yes—
1505C42C2×#4114yes—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—21no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—21no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—24no—
1523C23—24no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—416no—
1539C23—416no—
1540C23—416no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23C23×D412yes—
1546C23C23×D418yes—
1547C23C22×#4114yes—
1548C23#58514yes—
1549C23C2611yescharacteristic
1550Q8—28no—
1551Q8—48no—
1552Q8—44no—
1553Q8—44no—
1554Q8—44no—
1555D4—28no—
1556D4—28no—
1557D4—216no—
1558D4—48no—
1559D4—416no—
1560D4—48no—
1561D4—48no—
1562D4—48no—
1563D4—416no—
1564D4—44no—
1565D4—416no—
1566D4—416no—
1567D4—48no—
1568D4—48no—
1569D4—44no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—88no—
1574D4—84no—
1575D4—88no—
1576D4—84no—
1577D4—88no—
1578D4—88no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—28no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—416no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—416no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—88no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—88no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—164no—
1659C2×C4C23×D412yes—
1660C2×C4C23×D412yes—
1661C2×C4C23×D412yes—
1662C2×C4C23×D412yes—
1663C2×C4C23×D412yes—
1664C2×C4C23×D418yes—
1665C2×C4C23×D412yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4#58512yes—
1670C22—24no—
1671C22—28no—
1672C22—24no—
1673C22—22no—
1674C22—28no—
1675C22—28no—
1676C22—22no—
1677C22—24no—
1678C22—22no—
1679C22—24no—
1680C22—28no—
1681C22—42no—
1682C22—44no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—44no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—832no—
1707C22C24×D411yescharacteristic
1708C22C23×#4111yescharacteristic
1709C22C2×#58512yes—
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)12yes—
1712C4—24no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—28no—
1718C4—22no—
1719C4—24no—
1720C4—44no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4D4×#4114yes—
1737C2—42no—
1738C2—48no—
1739C2—44no—
1740C2—44no—
1741C2—82no—
1742C2—82no—
1743C2C2×D4×#4111yescharacteristic
1744C2#6281111yescharacteristic
1745C2#6284211yescharacteristic
1746C2#6294112yes—
1747C2#6300812yes—
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×#3517C2semidirect
2. C2×#3481C2semidirect
3. #59812C2semidirect
4. #59770C2semidirect
5. #59213C2semidirect
6. #59184C2semidirect
7. #59158C2semidirect
8. #59129C2semidirect
9. #45356C2semidirect
10. #45354C2semidirect
11. #45271C2semidirect
12. #45143C2semidirect
13. #45141C2semidirect
14. #45139C2semidirect
15. #44936C2semidirect
16. #44932C2semidirect
17. #44456C2semidirect
18. #43901C2semidirect
19. #39861C2semidirect
20. #38377C2semidirect
21. #38365C2semidirect
22. #36221C2semidirect
23. #35654C2semidirect
24. #35570C2semidirect
25. #35226C2semidirect
26. #35210C2semidirect
27. #34909C2semidirect
28. #34876C2semidirect
29. #34288C2semidirect
30. #34222C2semidirect
31. #34070C2semidirect
35. C2×#557C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
53. C2×#540C22semidirect
54. C2×#540C22semidirect
57. C2×#532C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
63. C2×#520C22semidirect
66. C2×C4×#41C22semidirect
69. #2852C22semidirect
70. #2849C22semidirect
71. #2847C22semidirect
72. #2732C22semidirect
73. #2729C22semidirect
74. #2729C22semidirect
75. #2728C22semidirect
76. #2720C22semidirect
77. #2719C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2696C22semidirect
85. #2694C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2686C22semidirect
91. #2671C22semidirect
93. #2669C22semidirect
95. #2668C22semidirect
96. #2638C22semidirect
97. #2635C22semidirect
98. #2635C22semidirect
99. #2630C22semidirect
100. #2611C22semidirect
101. #2611C22semidirect
102. #2610C22semidirect
103. #2610C22semidirect
104. #2604C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2600C22semidirect
109. #2600C22semidirect
110. #2599C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
115. #2580C22semidirect
116. #2579C22semidirect
117. #2564C22semidirect
118. #2559C22semidirect
119. #2559C22semidirect
120. #2553C22semidirect
121. #2553C22semidirect
122. #2552C22semidirect
123. #2544C22semidirect
124. #2543C22semidirect
125. #2543C22semidirect
126. #2540C22semidirect
128. #2537C22semidirect
130. #2536C22semidirect
133. #2535C22semidirect
134. #2534C22semidirect
135. #2500C22semidirect
136. #2498C22semidirect
137. #2498C22semidirect
138. #2496C22semidirect
139. #2490C22semidirect
140. #2489C22semidirect
141. #2486C22semidirect
142. #2485C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2484C22semidirect
146. #2480C22semidirect
147. #2478C22semidirect
148. #2473C22semidirect
149. #2470C22semidirect
150. #2468C22semidirect
151. #2468C22semidirect
152. #2468C22semidirect
153. #2466C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
159. #2457C22semidirect
160. #2457C22semidirect
161. #2457C22semidirect
163. #2455C22semidirect
165. #2453C22semidirect
166. #2447C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
174. #2432C22semidirect
176. #2429C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2427C22semidirect
182. #2425C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2423C22semidirect
187. #2422C22semidirect
188. #2421C22semidirect
190. #2420C22semidirect
191. #2419C22semidirect
193. #2418C22semidirect
194. #2417C22semidirect
195. #2416C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2407C22semidirect
204. #2406C22semidirect
206. #2399C22semidirect
208. #2398C22semidirect
210. #2395C22semidirect
212. #2372C22semidirect
214. #2364C22semidirect
215. #2364C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2360C22semidirect
220. #2359C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2353C22semidirect
225. D4×C4⋊C4C22semidirect
226. D4×C4⋊C4C22semidirect
227. #2342C22semidirect
228. #2339C22semidirect
229. #2339C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
237. #2327C22semidirect
238. #2327C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
243. #2325C22semidirect
244. #2325C22semidirect
245. #2325C22semidirect
247. #2323C22semidirect
248. #2322C22semidirect
249. #2319C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#120C22semidirect
258. #2297C22semidirect
259. #2290C22semidirect
260. #2290C22semidirect
261. #2290C22semidirect
262. #2290C22semidirect
263. #2290C22semidirect
264. C2×#385C22semidirect
265. #2285C22semidirect
266. #2283C22semidirect
267. #2275C22semidirect
268. C2×#376C22semidirect
302. #532D4semidirect
872. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34812
#598122
#597702
#592132
#591842
#591582
#591292
#453562
#453542
#452712
#451432
#451412
#451392
#449362
#449322
#444562
#439012
#398612
#383772
#383652
#362212
#356542
#355702
#352262
#352102
#349092
#348762
#342882
#342222
#340702