Finite Group Databasebeta

← #7671114

Subgroups — #7671114

Order 512.

5060 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59716C212yesmaximal, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59530C214yesmaximal, complemented
4#59503C212yesmaximal, complemented
5#59467C211yesmaximal, characteristic, complemented
6#59465C211yesmaximal, characteristic, complemented
7#59437C211yesmaximal, characteristic, complemented
8#59083C212yesmaximal, complemented
9#59069C212yesmaximal, complemented
10#40317C214yesmaximal, complemented
11#40298C214yesmaximal, complemented
12#39912C212yesmaximal, complemented
13#39905C212yesmaximal, complemented
14#39866C212yesmaximal, complemented
15#39857C212yesmaximal, complemented
16#36631C211yesmaximal, characteristic, complemented
17#36535C211yesmaximal, characteristic, complemented
18#36534C212yesmaximal, complemented
19#36472C211yesmaximal, characteristic
20#36469C211yesmaximal, characteristic, complemented
21#36459C212yesmaximal, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36395C212yesmaximal, complemented
24#36302C211yesmaximal, characteristic, complemented
25#36294C212yesmaximal, complemented
26#36288C211yesmaximal, characteristic, complemented
27#36271C211yesmaximal, characteristic, complemented
28#36261C211yesmaximal, characteristic, complemented
29#35503C214yesmaximal, complemented
30#35117C212yesmaximal, complemented
31#35037C212yesmaximal, complemented
32#34331C212yesmaximal, complemented
33#34323C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#553C2212yes—
40C2×#533C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43#2864C2212yes—
44#2863C2212yes—
45#2862C2212yes—
46#2861C2212yes—
47#2861C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2860C2212yes—
51#2860C2212yes—
52#2859C2211yescharacteristic
53#2858C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2212yes—
56#2856C2211yescharacteristic
57#2854C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2850C2212yes—
61#2797C2214yes—
62#2791C2214yes—
63#2787C2214yes—
64#2784C2214yes—
65#2770C2214yes—
66#2759C2214yes—
67#2737C2214yes—
68#2715C2214yes—
69#2696C2214yes—
70#2695C2214yes—
71#2695C2214yes—
72#2693C2214yes—
73#2687C2214yes—
74#2681C2214yes—
75#2680C2214yes—
76#2672C2214yes—
77#2653C2214yes—
78#2650C2214yes—
79#2637C2214yes—
80#2630C2214yes—
81#2612C2214yes—
82#2604C2214yes—
83#2603C2214yes—
84#2602C2214yes—
85#2601C2214yes—
86#2600C2214yes—
87#2599C2214yes—
88#2596C2214yes—
89#2594C2214yes—
90#2594C2214yes—
91#2592C2212yes—
92#2592C2212yes—
93#2590C2214yes—
94#2590C2214yes—
95#2588C2214yes—
96#2584C2212yes—
97#2583C2214yes—
98#2581C2212yes—
99#2578C2214yes—
100#2577C2214yes—
101#2577C2214yes—
102#2574C2214yes—
103#2571C2211yescharacteristic
104#2570C2212yes—
105#2565C2212yes—
106#2565C2212yes—
107#2564C2214yes—
108#2563C2212yes—
109#2563C2212yes—
110#2560C2214yes—
111#2560C2214yes—
112#2560C2214yes—
113#2560C2214yes—
114#2560C2214yes—
115#2560C2214yes—
116#2557C2214yes—
117#2552C2212yes—
118#2552C2211yescharacteristic
119#2552C2211yescharacteristic
120#2551C2211yescharacteristic
121#2550C2212yes—
122#2550C2212yes—
123#2549C2214yes—
124#2548C2211yescharacteristic
125#2547C2211yescharacteristic
126#2547C2212yes—
127#2546C2211yescharacteristic
128#2545C2212yes—
129#2544C2212yes—
130#2544C2212yes—
131#2541C2211yescharacteristic
132#2536C2214yes—
133#2536C2214yes—
134#2532C2214yes—
135#2532C2214yes—
136#2531C2214yes—
137#2530C2214yes—
138#2530C2214yes—
139#2529C2214yes—
140#2515C2214yes—
141#2514C2212yes—
142#2513C2212yes—
143#2513C2212yes—
144#2512C2212yes—
145#2509C2212yes—
146#2508C2212yes—
147#2507C2212yes—
148#2504C2212yes—
149#2500C2212yes—
150#2498C2214yes—
151#2496C2214yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2492C2212yes—
156#2491C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2485C2212yes—
161#2485C2214yes—
162#2481C2214yes—
163#2478C2214yes—
164#2478C2214yes—
165#2477C2214yes—
166#2476C2214yes—
167#2466C2214yes—
168#2465C2214yes—
169#2464C2214yes—
170#2463C2214yes—
171#2454C2212yes—
172#2454C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2452C2212yes—
176#2452C2212yes—
177#2452C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2442C2212yes—
181#2440C2212yes—
182#2440C2212yes—
183#2439C2212yes—
184#2438C2214yes—
185#2429C2212yes—
186#2428C2212yes—
187#2427C2212yes—
188#2427C2212yes—
189#2422C2212yes—
190#2422C2212yes—
191#2421C2212yes—
192#2420C2212yes—
193#2415C2214yes—
194#2414C2212yes—
195#2373C2214yes—
196#2370C2212yes—
197#2370C2212yes—
198#2369C2212yes—
199#2367C2212yes—
200#2367C2214yes—
201#2367C2212yes—
202#2367C2212yes—
203#2366C2212yes—
204#2366C2211yescharacteristic
205#2366C2211yescharacteristic
206#2365C2211yescharacteristic
207#2365C2211yescharacteristic
208#2363C2212yes—
209#2361C2212yes—
210#2361C2214yes—
211#2361C2212yes—
212#2359C2214yes—
213#2359C2214yes—
214#2359C2214yes—
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2354C2214yes—
219#2354C2212yes—
220#2352C2212yes—
221#2352C2214yes—
222#2352C2214yes—
223Q8×C4⋊C4C2212yes—
224#2349C2212yes—
225#2349C2212yes—
226#2349C2212yes—
227D4×C4⋊C4C2211yescharacteristic
228D4×C4⋊C4C2211yescharacteristic
229#2347C2214yes—
230#2346C2212yes—
231#2345C2212yes—
232#2345C2212yes—
233#2335C2214yes—
234#2335C2214yes—
235#2335C2214yes—
236#2334C2214yes—
237#2332C2214yes—
238#2326C2214yes—
239#2325C2214yes—
240C4×C4⋊Q8C2211yescharacteristic
241C4×C4⋊Q8C2211yescharacteristic
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×#127C2211yescharacteristic
246C4×#127C2212yes—
247C4×#125C2212yes—
248C4×#125C2211yescharacteristic
249C4×#125C2211yescharacteristic
250C4×#125C2211yescharacteristic
251C4×#125C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2211yescharacteristic
254C4×#126C2212yes—
255C4×#126C2212yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2211yescharacteristic
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2211yescharacteristic
266C4×#123C2212yes—
267C4×#123C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273#2298C2212yes—
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2212yes—
277#2295C2211yescharacteristic
278#2295C2212yes—
279#2295C2212yes—
280#2293C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285C2×#389C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2275C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#559—216no—
300#556—48no—
301#554—48no—
302#553—216no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—28no—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#392C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2314yes—
684#384C2312yes—
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#381C2314yes—
700#381C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#127—28no—
852#127—24no—
853#126—28no—
854#126—216no—
855#126—48no—
856#126—48no—
857#126—48no—
858#125—24no—
859#125—24no—
860#125—24no—
861#125—28no—
862#125—28no—
863#125—44no—
864#124—24no—
865#124—28no—
866#124—216no—
867#124—28no—
868#124—28no—
869#124—44no—
870#123—216no—
871#123—28no—
872#123—216no—
873#123—216no—
874#123—48no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884#121—24no—
885#121—28no—
886#121—28no—
887#121—216no—
888#121—44no—
889#121—44no—
890#121—44no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—216no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—48no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4#4118yes—
923#117—28no—
924#117—24no—
925#117—44no—
926#117—48no—
927#117—48no—
928#117—48no—
929#117—42no—
930#117—42no—
931#117#4118yes—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—48no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—42no—
1053C2×C42—44no—
1054C2×C42—42no—
1055C2×C42—42no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2514yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4C2×#4114yes—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4C2×#4114yes—
1264C22×C4C2×#4118yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4C2×#4114yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4114yes—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4C2×#4118yes—
1409C22⋊C4C2×#4118yes—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—28no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—41no—
1443C42—42no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—42no—
1448C42—41no—
1449C42—41no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—42no—
1457C42—44no—
1458C42—42no—
1459C42—42no—
1460C42C2×#4114yes—
1461C42C2×#4118yes—
1462C42H(5,𝔽2)14yes—
1463C422−1+414yes—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23C22×#4114yes—
1484C23C22×#4112yes—
1485C23C2611yescharacteristic
1486Q8—48no—
1487Q8—48no—
1488Q8—44no—
1489Q8—48no—
1490Q8—164no—
1491D4—28no—
1492D4—416no—
1493D4—48no—
1494D4—48no—
1495D4—48no—
1496D4—84no—
1497D4—88no—
1498D4—88no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—28no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—164no—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—24no—
1612C22—24no—
1613C22—22no—
1614C22—22no—
1615C22—24no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—44no—
1625C22—44no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—44no—
1631C22C23×#4111yescharacteristic
1632C22C23×#4111yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×2−1+411yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—24no—
1641C4—22no—
1642C4—24no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—24no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—44no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4#350714yes—
1669C4#351114yes—
1670C2—42no—
1671C2—44no—
1672C2—84no—
1673C2#41211yescharacteristic
1674C2C2×#350711yescharacteristic
1675C2#6278111yescharacteristic
1676C2C2×#351111yescharacteristic
1677C2#6280011yescharacteristic
1678C2#6283011yescharacteristic
1679C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36472C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59716C2semidirect
2. #59647C2semidirect
3. #59530C2semidirect
4. #59503C2semidirect
5. #59467C2semidirect
6. #59465C2semidirect
7. #59437C2semidirect
8. #59083C2semidirect
9. #59069C2semidirect
10. #40317C2semidirect
11. #40298C2semidirect
12. #39912C2semidirect
13. #39905C2semidirect
14. #39866C2semidirect
15. #39857C2semidirect
16. #36631C2semidirect
17. #36535C2semidirect
18. #36534C2semidirect
20. #36469C2semidirect
21. #36459C2semidirect
22. #36449C2semidirect
23. #36395C2semidirect
24. #36302C2semidirect
25. #36294C2semidirect
26. #36288C2semidirect
27. #36271C2semidirect
28. #36261C2semidirect
29. #35503C2semidirect
30. #35117C2semidirect
31. #35037C2semidirect
32. #34331C2semidirect
33. #34323C2semidirect
34. C4×#533C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#597162
#596472
#595302
#595032
#594672
#594652
#594372
#590832
#590692
#403172
#402982
#399122
#399052
#398662
#398572
#366312
#365352
#365342
#364722
#364692
#364592
#364492
#363952
#363022
#362942
#362882
#362712
#362612
#355032
#351172
#350372
#343312
#343232
C4×#5332
C4×#5292