Finite Group Databasebeta

← #7690644

Subgroups — #7690644

Order 512.

4821 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C212yesmaximal, complemented
2#59904C212yesmaximal, complemented
3#59870C211yesmaximal, characteristic, complemented
4#59744C214yesmaximal, complemented
5#59702C212yesmaximal, complemented
6#59647C211yesmaximal, characteristic, complemented
7#59450C211yesmaximal, characteristic, complemented
8#59211C212yesmaximal, complemented
9#45198C212yesmaximal, complemented
10#45111C212yesmaximal, complemented
11#44546C214yesmaximal, complemented
12#43715C214yesmaximal, complemented
13#40034C212yesmaximal, complemented
14#40033C212yesmaximal, complemented
15#39387C211yesmaximal, characteristic, complemented
16#39328C214yesmaximal, complemented
17#39284C212yesmaximal, complemented
18#38986C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36606C212yesmaximal, complemented
21#36589C212yesmaximal, complemented
22#36460C212yesmaximal, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36412C211yesmaximal, characteristic
25#36300C211yesmaximal, characteristic, complemented
26#36185C211yesmaximal, characteristic, complemented
27#36055C212yesmaximal, complemented
28#36037C212yesmaximal, complemented
29#34902C211yesmaximal, characteristic, complemented
30#34816C212yesmaximal, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34321C211yesmaximal, characteristic, complemented
33#34285C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#542C2212yes—
41#2862C2211yescharacteristic
42#2860C2214yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2211yescharacteristic
46#2856C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2805C2214yes—
50#2797C2214yes—
51#2796C2214yes—
52#2789C2214yes—
53#2782C2214yes—
54#2779C2214yes—
55#2779C2214yes—
56#2778C2214yes—
57#2778C2214yes—
58#2771C2214yes—
59#2758C2214yes—
60#2753C2214yes—
61#2750C2214yes—
62#2750C2214yes—
63#2749C2214yes—
64#2730C2214yes—
65#2730C2214yes—
66#2728C2214yes—
67#2723C2214yes—
68#2705C2214yes—
69#2696C2214yes—
70#2650C2214yes—
71#2649C2214yes—
72#2645C2212yes—
73#2620C2212yes—
74#2600C2214yes—
75#2600C2214yes—
76#2598C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2596C2212yes—
80#2595C2214yes—
81#2594C2212yes—
82#2593C2214yes—
83#2592C2212yes—
84#2592C2212yes—
85#2592C2211yescharacteristic
86#2591C2214yes—
87#2581C2214yes—
88#2581C2211yescharacteristic
89#2580C2212yes—
90#2578C2214yes—
91#2576C2214yes—
92#2576C2214yes—
93#2575C2214yes—
94#2575C2214yes—
95#2573C2214yes—
96#2572C2214yes—
97#2571C2212yes—
98#2571C2212yes—
99#2571C2212yes—
100#2570C2212yes—
101#2570C2211yescharacteristic
102#2568C2212yes—
103#2568C2211yescharacteristic
104#2567C2211yescharacteristic
105#2567C2211yescharacteristic
106#2559C2214yes—
107#2559C2214yes—
108#2559C2214yes—
109#2559C2214yes—
110#2555C2214yes—
111#2555C2214yes—
112#2548C2211yescharacteristic
113#2548C2212yes—
114#2545C2211yescharacteristic
115#2544C2212yes—
116#2544C2212yes—
117#2544C2212yes—
118#2542C2211yescharacteristic
119#2541C2211yescharacteristic
120#2538C2212yes—
121#2536C2214yes—
122#2526C2214yes—
123#2526C2214yes—
124#2525C2214yes—
125#2525C2214yes—
126#2525C2212yes—
127#2521C2214yes—
128#2521C2214yes—
129#2521C2214yes—
130#2516C2214yes—
131#2516C2214yes—
132#2515C2214yes—
133#2514C2211yescharacteristic
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2512C2211yescharacteristic
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2510C2214yes—
148#2510C2214yes—
149#2510C2214yes—
150#2509C2212yes—
151#2509C2212yes—
152#2504C2212yes—
153#2503C2212yes—
154#2500C2212yes—
155#2500C2212yes—
156#2500C2212yes—
157#2499C2212yes—
158#2495C2214yes—
159#2493C2214yes—
160#2490C2212yes—
161#2489C2212yes—
162#2485C2214yes—
163#2481C2214yes—
164#2481C2214yes—
165#2474C2214yes—
166#2469C2212yes—
167#2454C2212yes—
168#2453C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2448C2211yescharacteristic
172#2448C2212yes—
173#2447C2212yes—
174#2447C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2211yescharacteristic
178#2445C2212yes—
179#2444C2214yes—
180#2443C2214yes—
181#2432C2212yes—
182#2431C2212yes—
183#2428C2212yes—
184#2428C2212yes—
185#2427C2212yes—
186#2427C2212yes—
187#2427C2212yes—
188#2426C2214yes—
189#2426C2212yes—
190#2421C2212yes—
191#2420C2214yes—
192#2420C2212yes—
193#2401C2214yes—
194#2401C2214yes—
195#2401C2212yes—
196#2396C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2370C2211yescharacteristic
200#2370C2211yescharacteristic
201#2369C2211yescharacteristic
202#2369C2211yescharacteristic
203#2368C2214yes—
204#2368C2212yes—
205#2368C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2214yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2366C2212yes—
214#2366C2212yes—
215#2366C2211yescharacteristic
216#2365C2212yes—
217#2365C2211yescharacteristic
218#2364C2214yes—
219#2364C2214yes—
220#2363C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2362C2214yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2361C2212yes—
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2359C2214yes—
233#2357C2212yes—
234#2357C2212yes—
235#2357C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242Q8×C4⋊C4C2212yes—
243#2349C2211yescharacteristic
244#2349C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247#2347C2212yes—
248#2347C2212yes—
249#2347C2212yes—
250#2345C2212yes—
251#2339C2212yes—
252#2337C2214yes—
253#2337C2214yes—
254#2334C2214yes—
255#2333C2214yes—
256#2328C2212yes—
257#2324C2212yes—
258#2320C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#126C2214yes—
267C4×#126C2214yes—
268C4×#126C2212yes—
269C4×#126C2214yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2214yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2298C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2297C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2285C2212yes—
289#2275C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#555—28no—
302#554—28no—
303#550—28no—
304#542—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2312yes—
387#401C2314yes—
388#401C2314yes—
389#401C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2312yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#383C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C43C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—42no—
849C4⋊Q8#4118yescomplemented
850#127—28no—
851#127—24no—
852#127—44no—
853#126—216no—
854#126—216no—
855#126—44no—
856#126—48no—
857#125—24no—
858#125—24no—
859#124—216no—
860#124—28no—
861#124—216no—
862#124—28no—
863#124—44no—
864#124—42no—
865#124—44no—
866#124—44no—
867#124—42no—
868#124—82no—
869#123—216no—
870C22⋊Q8—216no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—44no—
877#121—28no—
878#121—28no—
879#121—28no—
880#121—28no—
881#121—216no—
882#121—48no—
883#121—44no—
884#121—84no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—84no—
897C4×Q8—82no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—84no—
912C4×D4—82no—
913C4×D4—84no—
914C4×D4—84no—
915C4×D4#4118yes—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—44no—
921#117—84no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42—44no—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
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#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2414yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2514yes—
1165C24C2512yes—
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—41no—
1179C2×Q8—42no—
1180C2×Q8—41no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8C2×#4118yes—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4C2×#4114yes—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4C2×#4118yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2514yes—
1261C22×C4C2514yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4118yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C42—28no—
1399C42—24no—
1400C42—28no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—28no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—42no—
1428C42—44no—
1429C42—41no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42—41no—
1435C42—41no—
1436C42—42no—
1437C42—41no—
1438C42—44no—
1439C42—41no—
1440C42C2×#4114yes—
1441C42C2×#4114yes—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—24no—
1460C23—24no—
1461C23—22no—
1462C23C22×#4114yes—
1463C23C2611yescharacteristic
1464Q8—48no—
1465Q8—44no—
1466Q8—48no—
1467Q8—44no—
1468Q8—44no—
1469Q8—84no—
1470D4—28no—
1471D4—48no—
1472D4—44no—
1473D4—48no—
1474D4—88no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—164no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—216no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—164no—
1574C2×C4—164no—
1575C2×C4C22×#4114yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4114yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—42no—
1603C22—44no—
1604C22—42no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—44no—
1609C22C23×#4111yescharacteristic
1610C22C23×#4111yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22H(7,𝔽2)11yescharacteristic
1616C4—24no—
1617C4—24no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—24no—
1622C4—22no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—44no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—42no—
1642C4—44no—
1643C4—41no—
1644C4—42no—
1645C4—44no—
1646C4#348014yes—
1647C4#352114yes—
1648C2—44no—
1649C2—84no—
1650C2—82no—
1651C2C2×#348011yescharacteristic
1652C2C2×#352111yescharacteristic
1653C2#6279311yescharacteristic
1654C2#6296611yescharacteristic
1655C2#6299211yescharacteristic
1656C2#6301011yescharacteristic
1657C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36412C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59905C2semidirect
2. #59904C2semidirect
3. #59870C2semidirect
4. #59744C2semidirect
5. #59702C2semidirect
6. #59647C2semidirect
7. #59450C2semidirect
8. #59211C2semidirect
9. #45198C2semidirect
10. #45111C2semidirect
11. #44546C2semidirect
12. #43715C2semidirect
13. #40034C2semidirect
14. #40033C2semidirect
15. #39387C2semidirect
16. #39328C2semidirect
17. #39284C2semidirect
18. #38986C2semidirect
19. #36609C2semidirect
20. #36606C2semidirect
21. #36589C2semidirect
22. #36460C2semidirect
23. #36419C2semidirect
25. #36300C2semidirect
26. #36185C2semidirect
27. #36055C2semidirect
28. #36037C2semidirect
29. #34902C2semidirect
30. #34816C2semidirect
31. #34330C2semidirect
32. #34321C2semidirect
33. #34285C2semidirect
34. C4×#554C2semidirect
35. C4×#556C2semidirect
849. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599052
#599042
#598702
#597442
#597022
#596472
#594502
#592112
#451982
#451112
#445462
#437152
#400342
#400332
#393872
#393282
#392842
#389862
#366092
#366062
#365892
#364602
#364192
#364122
#363002
#361852
#360552
#360372
#349022
#348162
#343302
#343212
#342852
C4×#5542
C4×#5562