Finite Group Databasebeta

← #7699823

Subgroups — #7699823

Order 512.

5524 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59891C214yesmaximal, complemented
2#59749C212yesmaximal, complemented
3#59745C214yesmaximal, complemented
4#59647C211yesmaximal, characteristic, complemented
5#59644C212yesmaximal, complemented
6#59618C214yesmaximal, complemented
7#59483C212yesmaximal, complemented
8#59308C212yesmaximal, complemented
9#59305C211yesmaximal, characteristic, complemented
10#59248C211yesmaximal, characteristic, complemented
11#59247C212yesmaximal, complemented
12#59093C212yesmaximal, complemented
13#36588C212yesmaximal, complemented
14#36580C211yesmaximal, characteristic, complemented
15#36527C212yesmaximal, complemented
16#36507C212yesmaximal, complemented
17#36497C211yesmaximal, characteristic, complemented
18#36493C211yesmaximal, characteristic, complemented
19#36424C212yesmaximal, complemented
20#36306C212yesmaximal, complemented
21#36302C211yesmaximal, characteristic, complemented
22#36299C211yesmaximal, characteristic, complemented
23#36255C212yesmaximal, complemented
24#36252C212yesmaximal, complemented
25#36225C214yesmaximal, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36172C212yesmaximal, complemented
28#36126C211yesmaximal, characteristic, complemented
29C4×#559C211yesmaximal, characteristic, complemented
30C4×#552C211yesmaximal, characteristic, complemented
31C4×#547C212yesmaximal, complemented
32C4×#548C211yesmaximal, characteristic, complemented
33#34141C212yesmaximal, complemented
34#34127C211yesmaximal, characteristic, complemented
35C2×#2355C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#547C2212yes—
41C2×#532C2212yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2214yes—
44C22×C4×Q8C2211yescharacteristic
45#2864C2212yes—
46#2863C2212yes—
47#2861C2212yes—
48#2859C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2854C2214yes—
53#2853C2214yes—
54#2852C2214yes—
55#2850C2212yes—
56#2850C2212yes—
57#2797C2214yes—
58#2790C2214yes—
59#2789C2214yes—
60#2772C2214yes—
61#2754C2214yes—
62#2753C2214yes—
63#2740C2214yes—
64#2712C2214yes—
65#2700C2214yes—
66#2604C2214yes—
67#2602C2214yes—
68#2600C2214yes—
69#2599C2214yes—
70#2595C2214yes—
71#2595C2214yes—
72#2594C2214yes—
73#2593C2214yes—
74#2592C2212yes—
75#2589C2214yes—
76#2582C2211yescharacteristic
77#2580C2212yes—
78#2579C2214yes—
79#2577C2214yes—
80#2576C2214yes—
81#2576C2214yes—
82#2576C2214yes—
83#2573C2214yes—
84#2570C2212yes—
85#2566C2212yes—
86#2566C2212yes—
87#2560C2214yes—
88#2558C2214yes—
89#2556C2214yes—
90#2554C2214yes—
91#2552C2211yescharacteristic
92#2551C2211yescharacteristic
93#2550C2212yes—
94#2548C2211yescharacteristic
95#2544C2212yes—
96#2543C2214yes—
97#2541C2211yescharacteristic
98#2540C2212yes—
99#2538C2211yescharacteristic
100#2535C2212yes—
101#2532C2214yes—
102#2532C2214yes—
103#2531C2214yes—
104#2529C2214yes—
105#2527C2214yes—
106#2523C2214yes—
107#2520C2214yes—
108#2518C2214yes—
109#2518C2214yes—
110#2517C2214yes—
111#2515C2214yes—
112#2515C2214yes—
113#2514C2212yes—
114#2514C2212yes—
115#2513C2212yes—
116#2513C2212yes—
117#2512C2212yes—
118#2512C2212yes—
119#2510C2214yes—
120#2510C2214yes—
121#2510C2214yes—
122#2509C2212yes—
123#2507C2212yes—
124#2504C2212yes—
125#2504C2212yes—
126#2502C2212yes—
127#2500C2212yes—
128#2500C2212yes—
129#2498C2214yes—
130#2497C2212yes—
131#2495C2212yes—
132#2494C2212yes—
133#2494C2212yes—
134#2492C2212yes—
135#2492C2212yes—
136#2491C2212yes—
137#2490C2212yes—
138#2490C2212yes—
139#2478C2214yes—
140#2476C2214yes—
141#2475C2214yes—
142#2471C2214yes—
143#2471C2214yes—
144#2466C2214yes—
145#2462C2214yes—
146#2461C2214yes—
147#2459C2214yes—
148#2458C2214yes—
149#2458C2214yes—
150#2456C2214yes—
151#2453C2212yes—
152#2452C2212yes—
153#2451C2212yes—
154#2450C2214yes—
155#2448C2212yes—
156#2448C2212yes—
157#2447C2212yes—
158#2447C2212yes—
159#2445C2212yes—
160#2444C2214yes—
161#2444C2214yes—
162#2443C2214yes—
163#2442C2212yes—
164#2436C2212yes—
165#2431C2212yes—
166#2430C2214yes—
167#2430C2214yes—
168#2427C2212yes—
169#2422C2212yes—
170#2422C2212yes—
171#2421C2212yes—
172#2420C2212yes—
173#2417C2212yes—
174#2416C2212yes—
175#2416C2212yes—
176#2416C2212yes—
177#2374C2214yes—
178#2373C2212yes—
179#2371C2212yes—
180#2370C2211yescharacteristic
181#2370C2212yes—
182#2367C2212yes—
183#2367C2214yes—
184#2367C2214yes—
185#2367C2212yes—
186#2367C2212yes—
187#2367C2211yescharacteristic
188#2367C2212yes—
189#2366C2211yescharacteristic
190#2366C2212yes—
191#2366C2212yes—
192#2365C2212yes—
193#2365C2212yes—
194#2365C2212yes—
195#2364C2214yes—
196#2364C2214yes—
197#2363C2212yes—
198#2363C2212yes—
199#2362C2214yes—
200#2362C2211yescharacteristic
201#2362C2212yes—
202#2362C2211yescharacteristic
203#2361C2212yes—
204#2361C2212yes—
205#2361C2212yes—
206#2361C2211yescharacteristic
207#2361C2212yes—
208#2361C2212yes—
209#2361C2212yes—
210#2361C2212yes—
211#2360C2212yes—
212#2360C2211yescharacteristic
213#2359C2214yes—
214#2359C2214yes—
215#2359C2212yes—
216#2357C2212yes—
217#2357C2212yes—
218#2356C2211yescharacteristic
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2214yes—
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2355C2212yes—
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2354C2212yes—
231#2353C2214yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2211yescharacteristic
237#2351C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241#2347C2212yes—
242#2346C2211yescharacteristic
243#2344C2211yescharacteristic
244#2344C2212yes—
245#2343C2214yes—
246#2343C2212yes—
247#2341C2211yescharacteristic
248Q8×C22⋊C4C2211yescharacteristic
249#2339C2212yes—
250#2339C2214yes—
251C4×C4⋊Q8C2212yes—
252C4×#127C2211yescharacteristic
253C4×#125C2212yes—
254C4×#125C2211yescharacteristic
255C4×#126C2212yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2212yes—
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2214yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2211yescharacteristic
265C4×#123C2214yes—
266C4×#123C2214yes—
267C4×#123C2212yes—
268C4×#123C2214yes—
269C4×#121C2211yescharacteristic
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273#2297C2214yes—
274#2295C2212yes—
275C2×#391C2212yes—
276#2293C2212yes—
277#2293C2212yes—
278#2290C2214yes—
279#2290C2214yes—
280#2290C2214yes—
281C2×#387C2214yes—
282#2285C2211yescharacteristic
283C2×#384C2211yescharacteristic
284#2283C2212yes—
285C2×#382C2212yes—
286C42×Q8C2211yescharacteristic
287C42×Q8C2211yescharacteristic
288C42×D4C2212yes—
289C42×D4C2212yes—
290C42×D4C2211yescharacteristic
291C42×D4C2212yes—
292C42×D4C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2212yes—
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C23×Q8C2311yescharacteristic
302#559—28no—
303#553—48no—
304#552—28no—
305#548—28no—
306#547—216no—
307#532—216no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C4×#41—28no—
348C4×#41—416no—
349C2×C4×Q8—28no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2311yescharacteristic
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C42C2312yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2314yes—
413C22×C42C2314yes—
414C22×C42C2314yes—
415#401C2314yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—216no—
821C2×#41—24no—
822C2×#41—216no—
823C2×#41—48no—
824C2×#41—42no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865#127—28no—
866#127—24no—
867#126—28no—
868#126—48no—
869#125—28no—
870#125—24no—
871#125—44no—
872#125—44no—
873#124—28no—
874#124—24no—
875#124—216no—
876#124—28no—
877#124—28no—
878#124—44no—
879#123—216no—
880#123—28no—
881#123—216no—
882#123—216no—
883#123—48no—
884C22⋊Q8—24no—
885C22⋊Q8—216no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890#121—216no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—48no—
900#121—44no—
901#121#4118yes—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—28no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—48no—
912C4×Q8—48no—
913C4×Q8—42no—
914C4×Q8—42no—
915C4×Q8#4118yescomplemented
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941#117—28no—
942#117—24no—
943#117—28no—
944#117—24no—
945#117—28no—
946#117—44no—
947#117—48no—
948#117—48no—
949#117—42no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4#4118yescomplemented
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C42—28no—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—28no—
1076C2×C42—24no—
1077C2×C42—48no—
1078C2×C42—48no—
1079C2×C42—48no—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24C2511yescharacteristic
1196C24C2514yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199#41—464no—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—28no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—416no—
1216C2×Q8C2×#4114yes—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—22no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4118yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4C2×#4114yes—
1305C22×C4C2×#4118yes—
1306C22×C4C2×#4114yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4C2×#4114yes—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4118yes—
1397C4⋊C4C2×#4114yes—
1398C4⋊C4C2×#4118yes—
1399C4⋊C4C2×#4114yes—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—22no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
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⋊C4C2×#4118yes—
1450C22⋊C4H(5,𝔽2)14yes—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—28no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—42no—
1488C42—42no—
1489C42—41no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42C2×#4118yes—
1495C42C2×#4114yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—24no—
1508C23—24no—
1509C23—21no—
1510C23—21no—
1511C23—24no—
1512C23—21no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23C22×#4114yes—
1521C23C22×#4112yes—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2611yescharacteristic
1525Q8—28no—
1526Q8—48no—
1527Q8—416no—
1528Q8—44no—
1529Q8—44no—
1530D4—216no—
1531D4—28no—
1532D4—48no—
1533D4—416no—
1534D4—44no—
1535D4—416no—
1536D4—48no—
1537D4—48no—
1538D4—84no—
1539D4—88no—
1540D4—164no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—216no—
1562C2×C4—28no—
1563C2×C4—28no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—416no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—416no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4114yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4114yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—44no—
1668C22—41no—
1669C22—44no—
1670C22—44no—
1671C22—41no—
1672C22—44no—
1673C22—41no—
1674C22—41no—
1675C22—44no—
1676C22—41no—
1677C22—44no—
1678C22—44no—
1679C22—41no—
1680C22#348114yes—
1681C22C23×#4111yescharacteristic
1682C22C23×#4111yescharacteristic
1683C22C23×#4111yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—24no—
1694C4—22no—
1695C4—24no—
1696C4—24no—
1697C4—24no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—44no—
1710C4—41no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—44no—
1716C4—41no—
1717C4#347514yes—
1718C4#348014yes—
1719C2—24no—
1720C2—44no—
1721C2—81no—
1722C2—84no—
1723C2C2×#347511yescharacteristic
1724C2C2×#348011yescharacteristic
1725C2C2×#348111yescharacteristic
1726C2#6298511yescharacteristic
1727C2#6300711yescharacteristic
1728C2#6300911yescharacteristic
1729C2#6302111yescharacteristic
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. #59891C2semidirect
2. #59749C2semidirect
3. #59745C2semidirect
4. #59647C2semidirect
5. #59644C2semidirect
6. #59618C2semidirect
7. #59483C2semidirect
8. #59308C2semidirect
9. #59305C2semidirect
10. #59248C2semidirect
11. #59247C2semidirect
12. #59093C2semidirect
13. #36588C2semidirect
14. #36580C2semidirect
15. #36527C2semidirect
16. #36507C2semidirect
17. #36497C2semidirect
18. #36493C2semidirect
19. #36424C2semidirect
20. #36306C2semidirect
21. #36302C2semidirect
22. #36299C2semidirect
23. #36255C2semidirect
24. #36252C2semidirect
25. #36225C2semidirect
26. #36182C2semidirect
27. #36172C2semidirect
28. #36126C2semidirect
29. C4×#559C2semidirect
30. C4×#552C2semidirect
31. C4×#547C2semidirect
32. C4×#548C2semidirect
33. #34141C2semidirect
34. #34127C2semidirect
35. C2×#2355C2semidirect
915. C4×Q8#41semidirect
958. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598912
#597492
#597452
#596472
#596442
#596182
#594832
#593082
#593052
#592482
#592472
#590932
#365882
#365802
#365272
#365072
#364972
#364932
#364242
#363062
#363022
#362992
#362552
#362522
#362252
#361822
#361722
#361262
C4×#5592
C4×#5522
C4×#5472
C4×#5482
#341412
#341272
C2×#23552