Finite Group Databasebeta

← #7695624

Subgroups — #7695624

Order 512.

7983 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C212yesmaximal, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59814C212yesmaximal, complemented
4#59124C212yesmaximal, complemented
5#59122C214yesmaximal, complemented
6#52167C212yesmaximal, complemented
7#52162C211yesmaximal, characteristic, complemented
8#45354C212yesmaximal, complemented
9#45097C212yesmaximal, complemented
10#44876C212yesmaximal, complemented
11#43923C214yesmaximal, complemented
12#43901C214yesmaximal, complemented
13#43118C214yesmaximal, complemented
14#39739C211yesmaximal, characteristic, complemented
15#39718C212yesmaximal, complemented
16#39454C212yesmaximal, complemented
17#39355C211yesmaximal, characteristic, complemented
18#38424C212yesmaximal, complemented
19#38368C214yesmaximal, complemented
20#37822C214yesmaximal, complemented
21#37674C212yesmaximal, complemented
22#36469C211yesmaximal, characteristic, complemented
23#36437C212yesmaximal, complemented
24#35930C212yesmaximal, complemented
25#35808C212yesmaximal, complemented
26#35741C212yesmaximal, complemented
27#34330C211yesmaximal, characteristic, complemented
28#34310C211yesmaximal, characteristic, complemented
29#34292C212yesmaximal, complemented
30#3508—232no—
31C2×#559C2212yescomplemented
32C2×#559C2212yescomplemented
33C2×#559C2212yescomplemented
34C2×#559C2212yescomplemented
35C2×#550C2212yes—
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×#550C2212yescomplemented
39C2×#547C2212yescomplemented
40C2×#546C2212yes—
41C2×#546C2214yescomplemented
42C2×#546C2214yescomplemented
43C2×#546C2214yescomplemented
44C2×#546C2214yescomplemented
45C2×#546C2214yescomplemented
46C2×D42C2211yescharacteristic
47C2×#540C2214yescomplemented
48C2×#540C2214yescomplemented
49C2×#535C2212yes—
50C2×#535C2212yescomplemented
51C2×#533C2212yescomplemented
52C2×#532C2214yescomplemented
53C2×#532C2214yescomplemented
54C22×#127C2212yescomplemented
55C2×#518C2212yescomplemented
56C2×#518C2212yescomplemented
57C2×C4×#41C2212yescomplemented
58#2858C2211yescharacteristic, complemented
59#2854C2212yescomplemented
60#2853C2214yescomplemented
61#2850C2212yescomplemented
62#2734C2211yescharacteristic, complemented
63#2733C2212yescomplemented
64#2733C2212yescomplemented
65#2732C2211yescharacteristic
66#2731C2214yescomplemented
67#2730C2214yescomplemented
68#2729C2212yescomplemented
69#2726C2211yescharacteristic, complemented
70#2720C2212yescomplemented
71#2713C2212yescomplemented
72#2708C2214yescomplemented
73#2708C2214yescomplemented
74#2704C2212yescomplemented
75#2701C2214yescomplemented
76#2699C2214yescomplemented
77#2697C2214yescomplemented
78#2696C2214yescomplemented
79#2692C2212yes—
80#2688C2214yescomplemented
81#2686C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2684C2214yescomplemented
85#2683C2211yescharacteristic
86#2682C2212yescomplemented
87#2682C2212yescomplemented
88#2682C2212yescomplemented
89#2682C2212yescomplemented
90#2682C2212yescomplemented
91#2682C2212yescomplemented
92#2679C2212yes—
93#2679C2212yes—
94#2678C2214yescomplemented
95#2677C2212yescomplemented
96#2674C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2669C2214yes—
102#2669C2214yes—
103#2668C2214yescomplemented
104#2661C2214yescomplemented
105#2657C2212yescomplemented
106#2635C2214yescomplemented
107#2630C2214yescomplemented
108#2620C2212yescomplemented
109#2619C2212yes—
110#2602C2214yescomplemented
111#2602C2214yescomplemented
112#2600C2214yescomplemented
113#2592C2212yescomplemented
114#2592C2212yescomplemented
115#2581C2212yescomplemented
116#2580C2212yescomplemented
117#2558C2214yescomplemented
118#2557C2214yescomplemented
119#2555C2214yescomplemented
120#2555C2214yescomplemented
121#2548C2212yescomplemented
122#2547C2211yescharacteristic, complemented
123#2545C2212yescomplemented
124#2544C2212yescomplemented
125#2544C2212yescomplemented
126#2544C2212yescomplemented
127#2544C2212yescomplemented
128#2543C2214yescomplemented
129#2543C2214yescomplemented
130#2541C2211yescharacteristic
131#2541C2212yescomplemented
132#2541C2212yescomplemented
133#2541C2212yescomplemented
134#2539C2214yescomplemented
135#2538C2212yescomplemented
136#2537C2212yescomplemented
137#2534C2214yescomplemented
138#2534C2214yescomplemented
139#2491C2212yescomplemented
140#2474C2214yescomplemented
141#2472C2214yescomplemented
142#2470C2214yescomplemented
143#2464C2214yescomplemented
144#2464C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2463C2214yescomplemented
148#2461C2214yescomplemented
149#2461C2214yescomplemented
150#2461C2214yescomplemented
151#2460C2214yescomplemented
152#2457C2214yescomplemented
153#2457C2214yescomplemented
154#2456C2214yescomplemented
155#2456C2214yescomplemented
156#2447C2212yescomplemented
157#2447C2212yescomplemented
158#2445C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2445C2212yescomplemented
162#2444C2214yescomplemented
163#2443C2214yescomplemented
164#2443C2214yescomplemented
165#2435C2212yescomplemented
166#2433C2212yes—
167#2433C2212yescomplemented
168#2433C2212yescomplemented
169#2432C2212yescomplemented
170#2431C2212yes—
171#2431C2214yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2428C2214yescomplemented
175#2425C2214yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2424C2214yescomplemented
180#2424C2214yescomplemented
181#2422C2212yescomplemented
182#2418C2214yescomplemented
183#2418C2214yescomplemented
184#2416C2214yescomplemented
185#2411C2214yescomplemented
186#2410C2214yescomplemented
187#2410C2214yescomplemented
188#2410C2214yescomplemented
189#2410C2214yescomplemented
190#2408C2214yescomplemented
191#2407C2214yescomplemented
192#2406C2214yescomplemented
193#2406C2214yescomplemented
194#2404C2214yescomplemented
195#2404C2214yescomplemented
196#2403C2214yes—
197#2403C2214yes—
198#2399C2212yescomplemented
199#2396C2212yescomplemented
200#2396C2212yescomplemented
201#2392C2214yescomplemented
202#2388C2214yescomplemented
203#2388C2214yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2366C2211yescharacteristic, complemented
207#2366C2212yescomplemented
208#2366C2211yescharacteristic, complemented
209#2366C2212yescomplemented
210#2366C2211yescharacteristic, complemented
211#2365C2211yescharacteristic, complemented
212#2364C2214yescomplemented
213#2363C2212yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2362C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2214yescomplemented
219#2359C2214yescomplemented
220#2358C2214yes—
221#2358C2214yescomplemented
222#2357C2212yescomplemented
223#2355C2211yescharacteristic, complemented
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic, complemented
226D4×C4⋊C4C2211yescharacteristic, complemented
227D4×C4⋊C4C2212yescomplemented
228#2342C2214yescomplemented
229#2339C2212yescomplemented
230#2339C2212yescomplemented
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2212yescomplemented
233D4×C22⋊C4C2212yescomplemented
234#2333C2214yescomplemented
235#2328C2212yescomplemented
236#2326C2212yescomplemented
237#2325C2214yescomplemented
238#2324C2212yescomplemented
239#2323C2212yescomplemented
240#2321C2214yes—
241#2321C2214yescomplemented
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×#127C2211yescharacteristic, complemented
244C4×#127C2211yescharacteristic, complemented
245C4×C22⋊Q8C2212yescomplemented
246C4×#123C2214yescomplemented
247C4×#123C2214yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2297C2212yescomplemented
253#2295C2211yescharacteristic, complemented
254#2293C2211yescharacteristic
255C2×#390C2212yes—
256#2290C2212yes—
257C2×#388C2214yescomplemented
258#2275C2212yescomplemented
259C42×D4C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2314yes—
262C22×#41C2314yes—
263C22×#41C2314yes—
264C22×#41C2312yes—
265C23×D4C2312yes—
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270#559—216no—
271#559—216no—
272#559—216no—
273#559—216no—
274#550—216no—
275#550—216no—
276#550—216no—
277#550D4116yescomplemented
278#547—48no—
279#546—232no—
280#546—232no—
281#546—232no—
282#546—232no—
283#546—216no—
284#546—416no—
285D42—28no—
286#540—232no—
287#540—232no—
288#535—216no—
289#535—216no—
290#533—216no—
291#532—232no—
292#532—232no—
293C2×C4⋊Q8C2311yescharacteristic
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2311yescharacteristic
297C2×#127—216no—
298C2×#127C2311yescharacteristic
299C2×#127C2312yes—
300C2×#127C2314yes—
301C2×#127C2314yes—
302C2×#127C2312yes—
303C2×#127C2312yes—
304C2×#127C2312yes—
305C2×#127C2312yes—
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382#518—216no—
383#518—216no—
384C4×#41—216no—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2314yes—
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2314yes—
439C22×C42C2312yes—
440C22×C42C2314yes—
441C22×C42C2312yes—
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#399C2314yes—
446#399C2312yes—
447#399C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2312yes—
475#395C2312yes—
476#395C2312yes—
477#395C2312yes—
478#395C2312yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
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#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
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#386C2312yes—
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#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#382C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#379C2314yes—
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736#376C2312yes—
737C2×#95C2314yes—
738C2×#95C2314yes—
739C43C2311yescharacteristic
740C25C2414yes—
741C25C2414yes—
742C2×#41—28no—
743C2×#41—216no—
744C2×#41—216no—
745C2×#41—216no—
746C2×#41—28no—
747C2×#41—44no—
748C2×#41—48no—
749C2×#41—48no—
750C2×#41—82no—
751C2×#41—82no—
752C2×#41—84no—
753C2×#41—84no—
754C2×#41—84no—
755C2×#41—84no—
756C2×#41C2×D4116yescomplemented
757C22×Q8C2412yes—
758C22×Q8C2412yes—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2411yescharacteristic
762C22×D4—28no—
763C22×D4—28no—
764C22×D4—216no—
765C22×D4—216no—
766C22×D4—28no—
767C22×D4—28no—
768C22×D4—28no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—48no—
772C22×D4—82no—
773C22×D4—82no—
774C22×D4—84no—
775C22×D4—84no—
776C22×D4—84no—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2411yescharacteristic
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2411yescharacteristic
807C23×C4C2414yes—
808C23×C4C2414yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2414yes—
824C4⋊Q8—28no—
825C4⋊Q8—28no—
826C4⋊Q8—24no—
827C4⋊Q8—42no—
828#127—216no—
829#127—216no—
830#127—28no—
831#127—28no—
832#127—28no—
833#127—28no—
834#127—28no—
835#127—24no—
836#127—44no—
837#127—42no—
838#127C2×D4116yes—
839#127C2×D418yescomplemented
840#125—28no—
841#125—28no—
842#124—216no—
843#124—216no—
844#124—28no—
845#124—28no—
846#124—216no—
847#124—216no—
848#124—28no—
849#124—28no—
850#124—28no—
851#124—44no—
852#124—48no—
853#123—216no—
854#123—216no—
855#123—216no—
856#123—216no—
857#123—216no—
858#123—216no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—48no—
864#123—48no—
865#123—84no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—48no—
873#121—216no—
874#121—216no—
875#121—216no—
876#121—216no—
877#121—216no—
878#121—216no—
879#121—216no—
880#121—216no—
881#121—216no—
882#121—216no—
883#121—216no—
884#121—28no—
885#121—28no—
886#121—28no—
887#121—28no—
888#121—216no—
889#121—216no—
890#121—216no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—84no—
895#121—84no—
896#121—84no—
897#121—82no—
898#121C2×D4132yescomplemented
899#121C2×D4116yescomplemented
900#120—216no—
901#120—216no—
902#120—216no—
903#120—216no—
904#120—216no—
905#120—216no—
906#120—48no—
907#120—48no—
908#120—84no—
909#120—84no—
910#120—84no—
911#120—84no—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8C2×D418yescomplemented
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—216no—
923C4×D4—216no—
924C4×D4—216no—
925C4×D4—216no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—216no—
930C4×D4—216no—
931C4×D4—216no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—48no—
942C4×D4—48no—
943C4×D4—82no—
944C4×D4—82no—
945C4×D4—82no—
946C4×D4—84no—
947C4×D4—82no—
948C4×D4—82no—
949C4×D4C2×D418yes—
950C4×D4C2×D4116yescomplemented
951C4×D4#4118yescomplemented
952#117—28no—
953#117—216no—
954#117—28no—
955#117—28no—
956#117—82no—
957C2×C4⋊C4—48no—
958C2×C4⋊C4—82no—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4—216no—
1009C2×C22⋊C4—216no—
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4—216no—
1012C2×C22⋊C4—216no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4—48no—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—216no—
1079C2×C42—28no—
1080C2×C42—82no—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24—28no—
1145C24—28no—
1146C24—28no—
1147C24—28no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24—44no—
1154C24—44no—
1155C24—44no—
1156C24—44no—
1157C24—44no—
1158C24C2514yes—
1159C24C2514yes—
1160C24C2512yes—
1161C24C2514yes—
1162C24C2512yes—
1163#41—432no—
1164#41—816no—
1165#41—832no—
1166#41—832no—
1167#41—832no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8C22×D414yes—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—432no—
1217C2×D4—432no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—832no—
1269C2×D4—816no—
1270C2×D4—832no—
1271C2×D4C22×D414yes—
1272C2×D4C22×D418yes—
1273C2×D4C22×D4116yes—
1274C2×D4C22×D418yes—
1275C2×D4C22×D418yes—
1276C2×D4C22×D4116yes—
1277C2×D4C2×#4114yes—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4C22×D4116yes—
1327C22×C4C22×D418yes—
1328C22×C4C2×#4118yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2514yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—42no—
1390C4⋊C4—41no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4C22×D414yes—
1398C4⋊C4C22×D418yes—
1399C4⋊C4C22×D414yes—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4H(5,𝔽2)14yes—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
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—44no—
1461C22⋊C4—44no—
1462C22⋊C4C22×D418yes—
1463C22⋊C4C22×D4116yes—
1464C22⋊C4C2×#4118yes—
1465C42—24no—
1466C42—28no—
1467C42—24no—
1468C42—28no—
1469C42—28no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—22no—
1476C42—41no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—41no—
1483C42—41no—
1484C42C22×D418yes—
1485C42C22×D414yes—
1486C42C2×#4114yes—
1487C23—22no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—24no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—24no—
1519C23—416no—
1520C23—416no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—164no—
1530C23—164no—
1531C23—164no—
1532C23—164no—
1533C23C23×D414yes—
1534C23C23×D418yes—
1535C23C22×#4114yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—48no—
1539Q8—48no—
1540Q8—48no—
1541Q8—48no—
1542D4—28no—
1543D4—216no—
1544D4—44no—
1545D4—416no—
1546D4—416no—
1547D4—48no—
1548D4—48no—
1549D4—416no—
1550D4—416no—
1551D4—416no—
1552D4—416no—
1553D4—48no—
1554D4—416no—
1555D4—416no—
1556D4—48no—
1557D4—48no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—162no—
1571D4—164no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—216no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—48no—
1633C2×C4—416no—
1634C2×C4—48no—
1635C2×C4—416no—
1636C2×C4—416no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—88no—
1640C2×C4—84no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—164no—
1648C2×C4C23×D414yes—
1649C2×C4C23×D414yes—
1650C2×C4C23×D414yes—
1651C2×C4C23×D412yes—
1652C2×C4C23×D412yes—
1653C2×C4C23×D412yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4114yes—
1657C2×C4C22×#4112yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)14yes—
1660C2×C4#58512yes—
1661C22—28no—
1662C22—24no—
1663C22—24no—
1664C22—28no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—28no—
1669C22—24no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—44no—
1689C22—44no—
1690C22—44no—
1691C22—44no—
1692C22—44no—
1693C22—44no—
1694C22—44no—
1695C22—44no—
1696C22—1616no—
1697C22—1616no—
1698C22C24×D411yescharacteristic
1699C22C23×#4111yescharacteristic
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22H(7,𝔽2)11yescharacteristic
1703C22H(7,𝔽2)11yescharacteristic
1704C22H(7,𝔽2)11yescharacteristic
1705C4—24no—
1706C4—24no—
1707C4—22no—
1708C4—22no—
1709C4—24no—
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—24no—
1714C4—22no—
1715C4—44no—
1716C4—42no—
1717C4—42no—
1718C4—44no—
1719C4—42no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—42no—
1727C4—42no—
1728C4D4×#4114yes—
1729C2—48no—
1730C2—44no—
1731C2—44no—
1732C2—84no—
1733C2—84no—
1734C2C2×D4×#4111yescharacteristic
1735C2#6284211yescharacteristic
1736C2#6285511yescharacteristic
1737C2#6296111yescharacteristic
1738C2D4×H(5,𝔽2)11yescharacteristic
1739C2#6298611yescharacteristic
1740C2#6306011yescharacteristic
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×#3508C2semidirect
2. #59815C2semidirect
3. #59814C2semidirect
4. #59124C2semidirect
5. #59122C2semidirect
6. #52167C2semidirect
7. #52162C2semidirect
8. #45354C2semidirect
9. #45097C2semidirect
10. #44876C2semidirect
11. #43923C2semidirect
12. #43901C2semidirect
13. #43118C2semidirect
14. #39739C2semidirect
15. #39718C2semidirect
16. #39454C2semidirect
17. #39355C2semidirect
18. #38424C2semidirect
19. #38368C2semidirect
20. #37822C2semidirect
21. #37674C2semidirect
22. #36469C2semidirect
23. #36437C2semidirect
24. #35930C2semidirect
25. #35808C2semidirect
26. #35741C2semidirect
27. #34330C2semidirect
28. #34310C2semidirect
29. #34292C2semidirect
31. C2×#559C22semidirect
32. C2×#559C22semidirect
33. C2×#559C22semidirect
34. C2×#559C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
45. C2×#546C22semidirect
47. C2×#540C22semidirect
48. C2×#540C22semidirect
50. C2×#535C22semidirect
51. C2×#533C22semidirect
52. C2×#532C22semidirect
53. C2×#532C22semidirect
54. C22×#127C22semidirect
55. C2×#518C22semidirect
56. C2×#518C22semidirect
57. C2×C4×#41C22semidirect
58. #2858C22semidirect
59. #2854C22semidirect
60. #2853C22semidirect
61. #2850C22semidirect
62. #2734C22semidirect
63. #2733C22semidirect
64. #2733C22semidirect
66. #2731C22semidirect
67. #2730C22semidirect
68. #2729C22semidirect
69. #2726C22semidirect
70. #2720C22semidirect
71. #2713C22semidirect
72. #2708C22semidirect
73. #2708C22semidirect
74. #2704C22semidirect
75. #2701C22semidirect
76. #2699C22semidirect
77. #2697C22semidirect
78. #2696C22semidirect
80. #2688C22semidirect
81. #2686C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2684C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2682C22semidirect
89. #2682C22semidirect
90. #2682C22semidirect
91. #2682C22semidirect
94. #2678C22semidirect
95. #2677C22semidirect
96. #2674C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
103. #2668C22semidirect
104. #2661C22semidirect
105. #2657C22semidirect
106. #2635C22semidirect
107. #2630C22semidirect
108. #2620C22semidirect
110. #2602C22semidirect
111. #2602C22semidirect
112. #2600C22semidirect
113. #2592C22semidirect
114. #2592C22semidirect
115. #2581C22semidirect
116. #2580C22semidirect
117. #2558C22semidirect
118. #2557C22semidirect
119. #2555C22semidirect
120. #2555C22semidirect
121. #2548C22semidirect
122. #2547C22semidirect
123. #2545C22semidirect
124. #2544C22semidirect
125. #2544C22semidirect
126. #2544C22semidirect
127. #2544C22semidirect
128. #2543C22semidirect
129. #2543C22semidirect
131. #2541C22semidirect
132. #2541C22semidirect
133. #2541C22semidirect
134. #2539C22semidirect
135. #2538C22semidirect
136. #2537C22semidirect
137. #2534C22semidirect
138. #2534C22semidirect
139. #2491C22semidirect
140. #2474C22semidirect
141. #2472C22semidirect
142. #2470C22semidirect
143. #2464C22semidirect
144. #2464C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2463C22semidirect
148. #2461C22semidirect
149. #2461C22semidirect
150. #2461C22semidirect
151. #2460C22semidirect
152. #2457C22semidirect
153. #2457C22semidirect
154. #2456C22semidirect
155. #2456C22semidirect
156. #2447C22semidirect
157. #2447C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2444C22semidirect
163. #2443C22semidirect
164. #2443C22semidirect
165. #2435C22semidirect
167. #2433C22semidirect
168. #2433C22semidirect
169. #2432C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2428C22semidirect
175. #2425C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2424C22semidirect
180. #2424C22semidirect
181. #2422C22semidirect
182. #2418C22semidirect
183. #2418C22semidirect
184. #2416C22semidirect
185. #2411C22semidirect
186. #2410C22semidirect
187. #2410C22semidirect
188. #2410C22semidirect
189. #2410C22semidirect
190. #2408C22semidirect
191. #2407C22semidirect
192. #2406C22semidirect
193. #2406C22semidirect
194. #2404C22semidirect
195. #2404C22semidirect
198. #2399C22semidirect
199. #2396C22semidirect
200. #2396C22semidirect
201. #2392C22semidirect
202. #2388C22semidirect
203. #2388C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2366C22semidirect
207. #2366C22semidirect
208. #2366C22semidirect
209. #2366C22semidirect
210. #2366C22semidirect
211. #2365C22semidirect
212. #2364C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2362C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2359C22semidirect
221. #2358C22semidirect
222. #2357C22semidirect
223. #2355C22semidirect
225. #2354C22semidirect
226. D4×C4⋊C4C22semidirect
227. D4×C4⋊C4C22semidirect
228. #2342C22semidirect
229. #2339C22semidirect
230. #2339C22semidirect
232. D4×C22⋊C4C22semidirect
233. D4×C22⋊C4C22semidirect
234. #2333C22semidirect
235. #2328C22semidirect
236. #2326C22semidirect
237. #2325C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
241. #2321C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×#127C22semidirect
244. C4×#127C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×#123C22semidirect
247. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2297C22semidirect
253. #2295C22semidirect
257. C2×#388C22semidirect
258. #2275C22semidirect
259. C42×D4C22semidirect
277. #550D4semidirect
756. C2×#41C2×D4semidirect
839. #127C2×D4semidirect
898. #121C2×D4semidirect
899. #121C2×D4semidirect
917. C4×Q8C2×D4semidirect
950. C4×D4C2×D4semidirect
951. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
#598152
#598142
#591242
#591222
#521672
#521622
#453542
#450972
#448762
#439232
#439012
#431182
#397392
#397182
#394542
#393552
#384242
#383682
#378222
#376742
#364692
#364372
#359302
#358082
#357412
#343302
#343102
#342922