Finite Group Databasebeta

← #7699831

Subgroups — #7699831

Order 512.

5174 conjugacy classes of subgroups.

The subgroup lattice has 1711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59899C214yesmaximal, complemented
2#59758C214yesmaximal, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59590C214yesmaximal, complemented
5#59584C212yesmaximal, complemented
6#59489C212yesmaximal, complemented
7#59474C212yesmaximal, complemented
8#59417C212yesmaximal, complemented
9#59307C212yesmaximal, complemented
10#59257C211yesmaximal, characteristic, complemented
11#59249C211yesmaximal, characteristic, complemented
12#59247C212yesmaximal, complemented
13#36589C212yesmaximal, complemented
14#36580C211yesmaximal, characteristic, complemented
15#36555C211yesmaximal, characteristic, complemented
16#36535C211yesmaximal, characteristic, complemented
17#36526C212yesmaximal, complemented
18#36526C212yesmaximal, complemented
19#36495C212yesmaximal, complemented
20#36493C211yesmaximal, characteristic, complemented
21#36487C212yesmaximal, complemented
22#36472C211yesmaximal, characteristic, complemented
23#36470C212yesmaximal, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36403C212yesmaximal, complemented
26#36335C214yesmaximal, complemented
27#36211C211yesmaximal, characteristic, complemented
28#36202C212yesmaximal, complemented
29C4×#559C212yesmaximal, complemented
30C4×#559C211yesmaximal, characteristic, complemented
31C4×#556C211yesmaximal, characteristic, complemented
32C4×#553C212yesmaximal, complemented
33C4×#548C211yesmaximal, characteristic, complemented
34#34127C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#553C2212yes—
40C2×#548C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2864C2212yes—
44#2864C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2860C2214yes—
48#2859C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2853C2214yes—
52#2852C2214yes—
53#2850C2212yes—
54#2850C2212yes—
55#2767C2214yes—
56#2754C2214yes—
57#2752C2214yes—
58#2750C2214yes—
59#2741C2214yes—
60#2740C2214yes—
61#2710C2214yes—
62#2703C2214yes—
63#2700C2214yes—
64#2604C2214yes—
65#2604C2214yes—
66#2603C2214yes—
67#2603C2214yes—
68#2597C2214yes—
69#2597C2214yes—
70#2596C2214yes—
71#2596C2214yes—
72#2596C2214yes—
73#2593C2214yes—
74#2592C2212yes—
75#2590C2214yes—
76#2589C2214yes—
77#2588C2214yes—
78#2587C2214yes—
79#2582C2211yescharacteristic
80#2581C2212yes—
81#2580C2212yes—
82#2580C2212yes—
83#2578C2214yes—
84#2578C2214yes—
85#2575C2214yes—
86#2575C2214yes—
87#2575C2214yes—
88#2573C2214yes—
89#2573C2214yes—
90#2571C2211yescharacteristic
91#2570C2212yes—
92#2565C2212yes—
93#2559C2214yes—
94#2559C2214yes—
95#2557C2214yes—
96#2557C2214yes—
97#2555C2214yes—
98#2554C2214yes—
99#2553C2214yes—
100#2552C2211yescharacteristic
101#2550C2212yes—
102#2548C2211yescharacteristic
103#2541C2211yescharacteristic
104#2540C2212yes—
105#2538C2211yescharacteristic
106#2535C2212yes—
107#2535C2212yes—
108#2532C2214yes—
109#2531C2214yes—
110#2526C2214yes—
111#2525C2214yes—
112#2523C2214yes—
113#2523C2214yes—
114#2522C2214yes—
115#2516C2214yes—
116#2516C2214yes—
117#2516C2214yes—
118#2513C2212yes—
119#2513C2212yes—
120#2512C2212yes—
121#2511C2212yes—
122#2509C2212yes—
123#2509C2212yes—
124#2503C2212yes—
125#2501C2212yes—
126#2500C2212yes—
127#2497C2212yes—
128#2496C2212yes—
129#2496C2212yes—
130#2495C2212yes—
131#2495C2212yes—
132#2491C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2490C2212yes—
136#2489C2212yes—
137#2488C2214yes—
138#2478C2214yes—
139#2471C2214yes—
140#2467C2214yes—
141#2467C2214yes—
142#2467C2214yes—
143#2466C2214yes—
144#2464C2214yes—
145#2459C2214yes—
146#2458C2214yes—
147#2457C2214yes—
148#2457C2214yes—
149#2456C2214yes—
150#2455C2214yes—
151#2454C2212yes—
152#2453C2212yes—
153#2448C2212yes—
154#2448C2212yes—
155#2448C2212yes—
156#2445C2212yes—
157#2443C2214yes—
158#2436C2212yes—
159#2431C2212yes—
160#2428C2212yes—
161#2426C2212yes—
162#2423C2212yes—
163#2422C2212yes—
164#2422C2212yes—
165#2421C2212yes—
166#2420C2212yes—
167#2420C2212yes—
168#2420C2212yes—
169#2420C2212yes—
170#2419C2214yes—
171#2415C2212yes—
172#2414C2212yes—
173#2414C2212yes—
174#2414C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2374C2214yes—
178#2374C2214yes—
179#2373C2214yes—
180#2373C2214yes—
181#2373C2212yes—
182#2373C2212yes—
183#2370C2212yes—
184#2370C2212yes—
185#2367C2212yes—
186#2367C2211yescharacteristic
187#2367C2212yes—
188#2367C2212yes—
189#2367C2214yes—
190#2367C2212yes—
191#2367C2212yes—
192#2366C2211yescharacteristic
193#2366C2212yes—
194#2365C2211yescharacteristic
195#2364C2214yes—
196#2363C2212yes—
197#2363C2212yes—
198#2363C2212yes—
199#2363C2212yes—
200#2362C2211yescharacteristic
201#2362C2211yescharacteristic
202#2362C2212yes—
203#2362C2211yescharacteristic
204#2361C2212yes—
205#2361C2211yescharacteristic
206#2361C2212yes—
207#2361C2212yes—
208#2361C2212yes—
209#2360C2212yes—
210#2357C2212yes—
211#2357C2212yes—
212#2357C2212yes—
213#2357C2212yes—
214#2357C2212yes—
215#2357C2214yes—
216#2356C2212yes—
217#2355C2211yescharacteristic
218#2355C2212yes—
219#2355C2212yes—
220#2355C2211yescharacteristic
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2354C2211yescharacteristic
227#2353C2214yes—
228#2352C2212yes—
229#2352C2212yes—
230#2352C2211yescharacteristic
231#2352C2212yes—
232#2352C2212yes—
233#2351C2211yescharacteristic
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2347C2212yes—
239#2347C2211yescharacteristic
240#2347C2211yescharacteristic
241#2345C2214yes—
242#2345C2212yes—
243#2345C2212yes—
244#2343C2214yes—
245#2341C2211yescharacteristic
246Q8×C22⋊C4C2212yes—
247Q8×C22⋊C4C2211yescharacteristic
248#2339C2212yes—
249C4×C4⋊Q8C2211yescharacteristic
250C4×#127C2212yes—
251C4×#127C2211yescharacteristic
252C4×#125C2212yes—
253C4×#126C2212yes—
254C4×#126C2212yes—
255C4×#126C2214yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2212yes—
259C4×#124C2212yes—
260C4×#124C2212yes—
261C4×#124C2212yes—
262C4×#124C2211yescharacteristic
263C4×#124C2214yes—
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×#123C2214yes—
269C4×#123C2214yes—
270C4×#123C2214yes—
271C4×#123C2214yes—
272C4×#121C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2214yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277#2295C2212yes—
278#2295C2212yes—
279#2295C2214yes—
280#2290C2214yes—
281#2285C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2283C2212yes—
285C42×Q8C2212yes—
286C42×Q8C2212yes—
287C42×Q8C2211yescharacteristic
288C42×Q8C2211yescharacteristic
289C42×D4C2212yes—
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2214yes—
294C42×D4C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—216no—
302#559—28no—
303#556—28no—
304#553—216no—
305#548—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C4×#41—28no—
345C2×C4×Q8—28no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C42C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2314yes—
404C22×C42C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#390C2311yescharacteristic
477#390C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
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#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#383C2312yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C22⋊C4C2311yescharacteristic
767C4×C22⋊C4C2311yescharacteristic
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856#127—28no—
857#127—24no—
858#126—28no—
859#126—216no—
860#126—28no—
861#126—48no—
862#126—84no—
863#125—28no—
864#125—44no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—28no—
869#124—216no—
870#124—28no—
871#124#4118yes—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—216no—
876#123—84no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—44no—
882#121—24no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—216no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—82no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—28no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8#4118yes—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—216no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—216no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4—82no—
934#117—24no—
935#117—28no—
936#117—24no—
937#117—42no—
938#117—44no—
939#117—42no—
940#117—82no—
941#117#4118yescomplemented
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—28no—
1062C2×C42—24no—
1063C2×C42—28no—
1064C2×C42—24no—
1065C2×C42—84no—
1066C2×C42—84no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24C2511yescharacteristic
1184C24C2514yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—416no—
1202C2×Q8C2×#4114yes—
1203C2×Q8C2×#4114yes—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—28no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—44no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4C2×#4114yes—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4C2×#4114yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4C2×#4114yes—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4C2×#4118yes—
1376C4⋊C4C2×#4114yes—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—22no—
1402C22⋊C4—28no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—41no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4C2×#4118yes—
1429C22⋊C4C2×#4118yes—
1430C22⋊C4C2×#4118yes—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—28no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—42no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C42—41no—
1467C42—42no—
1468C42—41no—
1469C42—42no—
1470C42—44no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42C2×#4118yes—
1476C42C2×#4114yes—
1477C42C2×#4118yes—
1478C42C2×#4114yes—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—24no—
1493C23—24no—
1494C23—24no—
1495C23—21no—
1496C23—21no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—24no—
1505C23C22×#4112yes—
1506C23C22×#4114yes—
1507C23C2611yescharacteristic
1508Q8—28no—
1509Q8—28no—
1510Q8—48no—
1511Q8—48no—
1512Q8—44no—
1513D4—28no—
1514D4—416no—
1515D4—44no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—84no—
1521D4—88no—
1522D4—88no—
1523D4—164no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—28no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—44no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—82no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4—88no—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4114yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4114yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4#58512yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C22—24no—
1634C22—22no—
1635C22—24no—
1636C22—22no—
1637C22—24no—
1638C22—22no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—44no—
1649C22—44no—
1650C22—44no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—44no—
1655C22—41no—
1656C22—44no—
1657C22—41no—
1658C22—44no—
1659C22—41no—
1660C22—44no—
1661C22C23×#4111yescharacteristic
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22H(7,𝔽2)11yescharacteristic
1668C4—22no—
1669C4—24no—
1670C4—22no—
1671C4—24no—
1672C4—22no—
1673C4—24no—
1674C4—24no—
1675C4—22no—
1676C4—24no—
1677C4—22no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—44no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4#347514yes—
1698C4#348014yes—
1699C2—44no—
1700C2—42no—
1701C2—81no—
1702C2—84no—
1703C2C2×#347511yescharacteristic
1704C2C2×#348011yescharacteristic
1705C2#41211yescharacteristic
1706C2#6300811yescharacteristic
1707C2#6301011yescharacteristic
1708C2#6301011yescharacteristic
1709C2#6303611yescharacteristic
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. #59899C2semidirect
2. #59758C2semidirect
3. #59641C2semidirect
4. #59590C2semidirect
5. #59584C2semidirect
6. #59489C2semidirect
7. #59474C2semidirect
8. #59417C2semidirect
9. #59307C2semidirect
10. #59257C2semidirect
11. #59249C2semidirect
12. #59247C2semidirect
13. #36589C2semidirect
14. #36580C2semidirect
15. #36555C2semidirect
16. #36535C2semidirect
17. #36526C2semidirect
18. #36526C2semidirect
19. #36495C2semidirect
20. #36493C2semidirect
21. #36487C2semidirect
22. #36472C2semidirect
23. #36470C2semidirect
24. #36460C2semidirect
25. #36403C2semidirect
26. #36335C2semidirect
27. #36211C2semidirect
28. #36202C2semidirect
29. C4×#559C2semidirect
30. C4×#559C2semidirect
31. C4×#556C2semidirect
32. C4×#553C2semidirect
33. C4×#548C2semidirect
34. #34127C2semidirect
35. Q8×#117C2semidirect
941. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598992
#597582
#596412
#595902
#595842
#594892
#594742
#594172
#593072
#592572
#592492
#592472
#365892
#365802
#365552
#365352
#365262
#364952
#364932
#364872
#364722
#364702
#364602
#364032
#363352
#362112
#362022
C4×#5592
C4×#5562
C4×#5532
C4×#5482
#341272
Q8×#1172