Finite Group Databasebeta

← #7681913

Subgroups — #7681913

Order 512.

7444 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×#3514C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#59810C212yesmaximal, complemented
4#59568C212yesmaximal, complemented
5#59229C212yesmaximal, complemented
6#59160C214yesmaximal, complemented
7#59156C214yesmaximal, complemented
8#59129C212yesmaximal, complemented
9#45388C211yesmaximal, characteristic, complemented
10#45354C211yesmaximal, characteristic, complemented
11#45338C211yesmaximal, characteristic, complemented
12#45141C211yesmaximal, characteristic, complemented
13#44938C211yesmaximal, characteristic, complemented
14#44936C211yesmaximal, characteristic, complemented
15#44934C211yesmaximal, characteristic, complemented
16#44932C211yesmaximal, characteristic, complemented
17#43504C214yesmaximal, complemented
18#43012C214yesmaximal, complemented
19#39864C214yesmaximal, complemented
20#38372C214yesmaximal, complemented
21#38368C214yesmaximal, complemented
22#36224C214yesmaximal, complemented
23#35607C212yesmaximal, complemented
24#35524C212yesmaximal, complemented
25#35210C211yesmaximal, characteristic, complemented
26#35155C212yesmaximal, complemented
27#34909C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34292C212yesmaximal, complemented
30#34222C211yesmaximal, characteristic, complemented
31#34070C211yesmaximal, characteristic, complemented
32#3514—216no—
33#3483—216no—
34C2×#559C2211yescharacteristic
35C2×Q82C2211yescharacteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yes—
38C2×#555C2214yescomplemented
39C2×#555C2211yescharacteristic, complemented
40C2×#555C2212yescomplemented
41C2×#555C2212yescomplemented
42C2×#551C2214yes—
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×#550C2212yescomplemented
46C2×#550C2212yescomplemented
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#546C2212yes—
50C2×#546C2212yes—
51C2×#546C2212yes—
52C2×D42C2211yescharacteristic
53C2×#542C2212yes—
54C2×#538C2214yes—
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2212yescomplemented
58C2×#532C2214yescomplemented
59C2×#532C2212yescomplemented
60C2×#529C2212yes—
61C2×#529C2211yescharacteristic
62C22×#124C2212yes—
63C2×#518C2212yes—
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic, complemented
67C2×C4×#41C2212yescomplemented
68C2×C4×#41C2212yescomplemented
69#2855C2214yescomplemented
70#2853C2214yescomplemented
71#2852C2214yescomplemented
72#2733C2214yes—
73#2731C2214yes—
74#2730C2214yescomplemented
75#2729C2214yescomplemented
76#2716C2214yescomplemented
77#2714C2214yescomplemented
78#2709C2214yescomplemented
79#2708C2214yescomplemented
80#2688C2214yes—
81#2688C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2686C2214yescomplemented
85#2686C2214yescomplemented
86#2686C2214yescomplemented
87#2684C2214yescomplemented
88#2677C2214yescomplemented
89#2676C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yes—
92#2671C2214yescomplemented
93#2669C2214yes—
94#2669C2214yescomplemented
95#2668C2214yes—
96#2638C2214yescomplemented
97#2638C2212yescomplemented
98#2635C2212yes—
99#2630C2214yescomplemented
100#2611C2212yescomplemented
101#2611C2212yescomplemented
102#2610C2212yes—
103#2610C2212yes—
104#2604C2212yescomplemented
105#2603C2212yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2600C2214yescomplemented
109#2600C2214yescomplemented
110#2599C2212yescomplemented
111#2598C2212yescomplemented
112#2581C2211yescharacteristic, complemented
113#2581C2211yescharacteristic, complemented
114#2580C2211yescharacteristic
115#2580C2211yescharacteristic, complemented
116#2564C2214yescomplemented
117#2564C2212yescomplemented
118#2559C2214yescomplemented
119#2557C2214yescomplemented
120#2555C2214yescomplemented
121#2555C2214yescomplemented
122#2551C2212yescomplemented
123#2547C2214yescomplemented
124#2544C2214yescomplemented
125#2544C2212yescomplemented
126#2543C2212yes—
127#2543C2214yescomplemented
128#2540C2212yescomplemented
129#2537C2212yes—
130#2536C2211yescharacteristic
131#2536C2211yescharacteristic, complemented
132#2535C2211yescharacteristic
133#2535C2211yescharacteristic
134#2534C2214yescomplemented
135#2521C2214yescomplemented
136#2498C2212yescomplemented
137#2492C2212yescomplemented
138#2491C2214yescomplemented
139#2491C2212yescomplemented
140#2491C2214yescomplemented
141#2485C2212yescomplemented
142#2485C2212yescomplemented
143#2479C2214yescomplemented
144#2478C2214yescomplemented
145#2477C2214yescomplemented
146#2476C2214yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2474C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2470C2214yescomplemented
153#2469C2214yescomplemented
154#2466C2214yescomplemented
155#2465C2214yescomplemented
156#2464C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2459C2214yescomplemented
160#2456C2214yescomplemented
161#2455C2214yescomplemented
162#2452C2212yes—
163#2451C2212yescomplemented
164#2448C2214yescomplemented
165#2447C2212yescomplemented
166#2446C2214yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2439C2212yescomplemented
171#2439C2212yescomplemented
172#2436C2214yescomplemented
173#2434C2214yescomplemented
174#2433C2212yes—
175#2432C2214yescomplemented
176#2432C2212yescomplemented
177#2430C2212yescomplemented
178#2430C2214yescomplemented
179#2429C2212yescomplemented
180#2428C2212yes—
181#2428C2212yes—
182#2428C2214yescomplemented
183#2427C2212yescomplemented
184#2427C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2420C2212yes—
190#2420C2212yescomplemented
191#2419C2214yescomplemented
192#2418C2214yes—
193#2416C2214yescomplemented
194#2415C2212yescomplemented
195#2414C2212yescomplemented
196#2410C2214yes—
197#2410C2214yes—
198#2408C2212yes—
199#2407C2212yes—
200#2407C2212yes—
201#2407C2212yescomplemented
202#2407C2214yescomplemented
203#2406C2214yescomplemented
204#2404C2214yes—
205#2404C2214yescomplemented
206#2399C2211yescharacteristic, complemented
207#2398C2211yescharacteristic
208#2398C2211yescharacteristic, complemented
209#2397C2211yescharacteristic
210#2395C2212yescomplemented
211#2388C2212yescomplemented
212#2372C2214yescomplemented
213#2367C2212yes—
214#2364C2214yescomplemented
215#2363C2212yes—
216#2362C2212yescomplemented
217#2361C2214yescomplemented
218#2359C2214yescomplemented
219#2359C2214yescomplemented
220#2358C2214yescomplemented
221#2358C2214yescomplemented
222#2354C2212yescomplemented
223#2353C2214yescomplemented
224D4×C4⋊C4C2212yescomplemented
225#2344C2214yescomplemented
226#2342C2214yescomplemented
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#2324C2212yescomplemented
247#2323C2212yescomplemented
248#2321C2214yescomplemented
249#2319C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#123C2214yescomplemented
252C4×#121C2212yes—
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257#2297C2211yescharacteristic
258#2297C2211yescharacteristic, complemented
259#2290C2214yescomplemented
260#2290C2214yescomplemented
261#2290C2214yescomplemented
262#2290C2212yescomplemented
263#2290C2212yescomplemented
264C2×#388C2214yescomplemented
265#2285C2211yescharacteristic, complemented
266#2283C2211yescharacteristic, complemented
267#2275C2212yescomplemented
268C2×#376C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2312yes—
274C22×#41C2314yes—
275C22×#41C2312yes—
276C23×Q8C2312yes—
277C23×D4C2312yes—
278C23×D4C2312yes—
279#559—28no—
280Q82—28no—
281#556—28no—
282#555—28no—
283#555—232no—
284#555—216no—
285#555—216no—
286#555—216no—
287#551—232no—
288#550—28no—
289#550—28no—
290#550—216no—
291#550—216no—
292D4×Q8—28no—
293#548—216no—
294#546—216no—
295#546—216no—
296#546—216no—
297D42—28no—
298#542—216no—
299#538—232no—
300#532—232no—
301#532—28no—
302#532—216no—
303#532—216no—
304#532D4116yescomplemented
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2314yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317#529—216no—
318#529—28no—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#124—216no—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385#518—216no—
386C4×#41—216no—
387C4×#41—216no—
388C4×#41—28no—
389C4×#41—28no—
390C4×#41—28no—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2314yes—
439C2×#117C2312yes—
440C2×#117C2314yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2311yescharacteristic
449C22×C4⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C42C2312yes—
456C22×C42C2314yes—
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2312yes—
463#400C2314yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#399C2312yes—
468#399C2314yes—
469#399C2312yes—
470#399C2312yes—
471#399C2312yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2312yes—
497#395C2312yes—
498#395C2312yes—
499#395C2314yes—
500#395C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#393C2312yes—
528#393C2314yes—
529#393C2312yes—
530#393C2312yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2312yes—
543#392C2312yes—
544#392C2314yes—
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#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
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#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#379C2314yes—
734#379C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
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⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
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×#95C2314yes—
769C2×#95C2312yes—
770C2×#95C2314yes—
771C25C2414yes—
772C2×#41—24no—
773C2×#41—28no—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—24no—
777C2×#41—24no—
778C2×#41—24no—
779C2×#41—24no—
780C2×#41—216no—
781C2×#41—42no—
782C2×#41—42no—
783C2×#41—48no—
784C2×#41—44no—
785C2×#41—44no—
786C2×#41—84no—
787C2×#41—84no—
788C2×#41—84no—
789C2×#41C2×D4116yes—
790C22×Q8—28no—
791C22×Q8—84no—
792C22×Q8C2411yescharacteristic
793C22×Q8C2411yescharacteristic
794C22×Q8C2411yescharacteristic
795C22×Q8C2411yescharacteristic
796C22×Q8C2414yes—
797C22×Q8C2414yes—
798C22×Q8C2412yes—
799C22×D4—28no—
800C22×D4—28no—
801C22×D4—28no—
802C22×D4—44no—
803C22×D4—84no—
804C22×D4C2411yescharacteristic
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2411yescharacteristic
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2412yes—
817C22×D4C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—216no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—84no—
856C4⋊Q8C2×D418yes—
857#127—216no—
858#127—28no—
859#127—28no—
860#127—24no—
861#127C2×D418yes—
862#126—216no—
863#126—216no—
864#126—28no—
865#125—24no—
866#124—28no—
867#124—216no—
868#124—28no—
869#124—216no—
870#124—216no—
871#124—28no—
872#124—216no—
873#124—216no—
874#124—216no—
875#124—216no—
876#124—24no—
877#124—24no—
878#124—84no—
879#124C2×D4116yes—
880#124#4118yescomplemented
881#123—216no—
882#123—28no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—24no—
890C22⋊Q8—216no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—44no—
894C22⋊Q8—84no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—216no—
899#121—216no—
900#121—216no—
901#121—216no—
902#121—216no—
903#121—216no—
904#121—28no—
905#121—28no—
906#121—24no—
907#121—28no—
908#121—28no—
909#121—216no—
910#121—216no—
911#121—216no—
912#121—216no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—84no—
917#121—84no—
918#121—84no—
919#121C2×D4116yes—
920#121C2×D4116yes—
921#120—216no—
922#120—216no—
923#120—216no—
924#120—48no—
925#120—84no—
926#120—84no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×Q8—28no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—24no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—216no—
942C4×D4—216no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—28no—
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×D4C2×D4116yes—
971C4×D4C2×D4116yes—
972#117—24no—
973#117—24no—
974#117—24no—
975#117—28no—
976#117—28no—
977#117—28no—
978#117—216no—
979#117—216no—
980#117—216no—
981#117—28no—
982#117—28no—
983#117—28no—
984#117—28no—
985C2×C4⋊C4—48no—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C22⋊C4—216no—
1030C2×C22⋊C4—216no—
1031C2×C22⋊C4—216no—
1032C2×C22⋊C4—216no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C42—216no—
1099C2×C42—28no—
1100C2×C42—28no—
1101C2×C42—28no—
1102C2×C42—24no—
1103C2×C42—42no—
1104C2×C42C2×D418yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
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#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—28no—
1180C24—28no—
1181C24—44no—
1182C24—44no—
1183C24—44no—
1184C24—44no—
1185C24—44no—
1186C24C2512yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2514yes—
1190C24C2511yescharacteristic
1191C24C2512yes—
1192#41—416no—
1193#41—416no—
1194#41—432no—
1195#41—416no—
1196#41—432no—
1197#41—816no—
1198#41—832no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—28no—
1204C2×Q8—28no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—816no—
1216C2×Q8C22×D418yes—
1217C2×Q8C2×#4114yes—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—432no—
1282C2×D4—816no—
1283C2×D4C22×D418yes—
1284C2×D4C22×D418yes—
1285C2×D4C22×D418yes—
1286C2×D4C22×D4116yes—
1287C2×D4C2×#4114yes—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—28no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4C22×D414yes—
1345C22×C4C22×D4116yes—
1346C22×C4C22×D414yes—
1347C22×C4C22×D414yes—
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×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4C22×D418yes—
1415C4⋊C4C22×D418yes—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4C22×D4116yes—
1478C22⋊C4C22×D4116yes—
1479C22⋊C4C2×#41116yes—
1480C42—24no—
1481C42—24no—
1482C42—28no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—28no—
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—24no—
1508C23—21no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—24no—
1519C23—24no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—416no—
1540C23—88no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—164no—
1545C23—164no—
1546C23C23×D412yes—
1547C23C23×D418yes—
1548C23C22×#4114yes—
1549C23C2611yescharacteristic
1550Q8—28no—
1551Q8—28no—
1552Q8—48no—
1553Q8—44no—
1554Q8—44no—
1555Q8—88no—
1556Q8—88no—
1557D4—28no—
1558D4—216no—
1559D4—48no—
1560D4—48no—
1561D4—416no—
1562D4—416no—
1563D4—48no—
1564D4—48no—
1565D4—416no—
1566D4—44no—
1567D4—44no—
1568D4—416no—
1569D4—48no—
1570D4—44no—
1571D4—84no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—84no—
1580D4—164no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—28no—
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—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—416no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—416no—
1643C2×C4—48no—
1644C2×C4—416no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4—88no—
1656C2×C4—84no—
1657C2×C4—164no—
1658C2×C4C23×D412yes—
1659C2×C4C23×D412yes—
1660C2×C4C23×D412yes—
1661C2×C4C23×D418yes—
1662C2×C4C23×D412yes—
1663C2×C4C23×D412yes—
1664C2×C4C23×D412yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4112yes—
1668C2×C4#58514yes—
1669C2×C4#58512yes—
1670C22—28no—
1671C22—28no—
1672C22—22no—
1673C22—22no—
1674C22—28no—
1675C22—22no—
1676C22—24no—
1677C22—28no—
1678C22—42no—
1679C22—44no—
1680C22—44no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—1616no—
1707C22C24×D411yescharacteristic
1708C22C23×#4111yescharacteristic
1709C22C2×#58512yes—
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)12yes—
1712C4—24no—
1713C4—22no—
1714C4—22no—
1715C4—24no—
1716C4—22no—
1717C4—22no—
1718C4—28no—
1719C4—22no—
1720C4—24no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4D4×#4114yes—
1737C2—42no—
1738C2—48no—
1739C2—44no—
1740C2—82no—
1741C2—82no—
1742C2—82no—
1743C2C2×D4×#4111yescharacteristic
1744C2#6281111yescharacteristic
1745C2#6284211yescharacteristic
1746C2#6296612yes—
1747C2#6299412yes—
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×#3514C2semidirect
2. C2×#3483C2semidirect
3. #59810C2semidirect
4. #59568C2semidirect
5. #59229C2semidirect
6. #59160C2semidirect
7. #59156C2semidirect
8. #59129C2semidirect
9. #45388C2semidirect
10. #45354C2semidirect
11. #45338C2semidirect
12. #45141C2semidirect
13. #44938C2semidirect
14. #44936C2semidirect
15. #44934C2semidirect
16. #44932C2semidirect
17. #43504C2semidirect
18. #43012C2semidirect
19. #39864C2semidirect
20. #38372C2semidirect
21. #38368C2semidirect
22. #36224C2semidirect
23. #35607C2semidirect
24. #35524C2semidirect
25. #35210C2semidirect
26. #35155C2semidirect
27. #34909C2semidirect
28. #34876C2semidirect
29. #34292C2semidirect
30. #34222C2semidirect
31. #34070C2semidirect
35. C2×Q82C22semidirect
38. C2×#555C22semidirect
39. C2×#555C22semidirect
40. C2×#555C22semidirect
41. C2×#555C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
57. C2×#532C22semidirect
58. C2×#532C22semidirect
59. C2×#532C22semidirect
65. C2×C4×#41C22semidirect
66. C2×C4×#41C22semidirect
67. C2×C4×#41C22semidirect
68. C2×C4×#41C22semidirect
69. #2855C22semidirect
70. #2853C22semidirect
71. #2852C22semidirect
74. #2730C22semidirect
75. #2729C22semidirect
76. #2716C22semidirect
77. #2714C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
81. #2688C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2686C22semidirect
85. #2686C22semidirect
86. #2686C22semidirect
87. #2684C22semidirect
88. #2677C22semidirect
89. #2676C22semidirect
90. #2673C22semidirect
92. #2671C22semidirect
94. #2669C22semidirect
96. #2638C22semidirect
97. #2638C22semidirect
99. #2630C22semidirect
100. #2611C22semidirect
101. #2611C22semidirect
104. #2604C22semidirect
105. #2603C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2600C22semidirect
109. #2600C22semidirect
110. #2599C22semidirect
111. #2598C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
115. #2580C22semidirect
116. #2564C22semidirect
117. #2564C22semidirect
118. #2559C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2555C22semidirect
122. #2551C22semidirect
123. #2547C22semidirect
124. #2544C22semidirect
125. #2544C22semidirect
127. #2543C22semidirect
128. #2540C22semidirect
131. #2536C22semidirect
134. #2534C22semidirect
135. #2521C22semidirect
136. #2498C22semidirect
137. #2492C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
141. #2485C22semidirect
142. #2485C22semidirect
143. #2479C22semidirect
144. #2478C22semidirect
145. #2477C22semidirect
146. #2476C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
149. #2474C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2470C22semidirect
153. #2469C22semidirect
154. #2466C22semidirect
155. #2465C22semidirect
156. #2464C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
159. #2459C22semidirect
160. #2456C22semidirect
161. #2455C22semidirect
163. #2451C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
166. #2446C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
172. #2436C22semidirect
173. #2434C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
177. #2430C22semidirect
178. #2430C22semidirect
179. #2429C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
190. #2420C22semidirect
191. #2419C22semidirect
193. #2416C22semidirect
194. #2415C22semidirect
195. #2414C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2406C22semidirect
205. #2404C22semidirect
206. #2399C22semidirect
208. #2398C22semidirect
210. #2395C22semidirect
211. #2388C22semidirect
212. #2372C22semidirect
214. #2364C22semidirect
216. #2362C22semidirect
217. #2361C22semidirect
218. #2359C22semidirect
219. #2359C22semidirect
220. #2358C22semidirect
221. #2358C22semidirect
222. #2354C22semidirect
223. #2353C22semidirect
224. D4×C4⋊C4C22semidirect
225. #2344C22semidirect
226. #2342C22semidirect
227. #2342C22semidirect
228. #2339C22semidirect
229. #2339C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
237. #2327C22semidirect
238. #2327C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
243. #2325C22semidirect
244. #2325C22semidirect
245. #2325C22semidirect
246. #2324C22semidirect
247. #2323C22semidirect
248. #2321C22semidirect
249. #2319C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#123C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
258. #2297C22semidirect
259. #2290C22semidirect
260. #2290C22semidirect
261. #2290C22semidirect
262. #2290C22semidirect
263. #2290C22semidirect
264. C2×#388C22semidirect
265. #2285C22semidirect
266. #2283C22semidirect
267. #2275C22semidirect
268. C2×#376C22semidirect
304. #532D4semidirect
880. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34832
#598102
#595682
#592292
#591602
#591562
#591292
#453882
#453542
#453382
#451412
#449382
#449362
#449342
#449322
#435042
#430122
#398642
#383722
#383682
#362242
#356072
#355242
#352102
#351552
#349092
#348762
#342922
#342222
#340702