Finite Group Databasebeta

← #8424656

Subgroups — #8424656

Order 512.

5438 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59414C212yesmaximal, complemented
3#59124C211yesmaximal, characteristic, complemented
4#59078C211yesmaximal, characteristic, complemented
5#59038C212yesmaximal, complemented
6#53788C214yesmaximal, complemented
7#53393C214yesmaximal, complemented
8#53088C212yesmaximal, complemented
9#53000C212yesmaximal, complemented
10#52976C212yesmaximal, complemented
11#52967C212yesmaximal, complemented
12#52476C214yesmaximal, complemented
13#42988C212yesmaximal, complemented
14#42907C212yesmaximal, complemented
15#42895C212yesmaximal, complemented
16#42634C212yesmaximal, complemented
17#41044C214yesmaximal, complemented
18#40044C212yesmaximal, complemented
19#39953C212yesmaximal, complemented
20#39739C212yesmaximal, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39147C211yesmaximal, characteristic, complemented
23#39146C211yesmaximal, characteristic, complemented
24#39127C211yesmaximal, characteristic, complemented
25#37785C212yesmaximal, complemented
26#37618C211yesmaximal, characteristic, complemented
27#37614C211yesmaximal, characteristic, complemented
28#37572C212yesmaximal, complemented
29#37515C212yesmaximal, complemented
30#36583C211yesmaximal, characteristic, complemented
31#36469C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33#34945C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#559C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#537C2212yescomplemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic, complemented
45C22×#127C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#529C2212yescomplemented
48#2858C2211yescharacteristic
49#2858C2212yescomplemented
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yescomplemented
53#2837C2214yescomplemented
54#2832C2214yescomplemented
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2828C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2818C2214yes—
63#2815C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2214yes—
67#2779C2214yescomplemented
68#2778C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2770C2214yescomplemented
72#2757C2214yescomplemented
73#2746C2214yes—
74#2736C2214yes—
75#2735C2214yes—
76#2733C2214yescomplemented
77#2733C2214yescomplemented
78#2725C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2708C2214yescomplemented
84#2707C2214yes—
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2702C2214yescomplemented
90#2701C2214yescomplemented
91#2693C2214yescomplemented
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2682C2214yescomplemented
95#2678C2214yes—
96#2678C2214yes—
97#2678C2214yes—
98#2676C2214yescomplemented
99#2675C2214yescomplemented
100#2673C2214yes—
101#2670C2214yes—
102#2670C2214yes—
103#2668C2214yes—
104#2663C2214yescomplemented
105#2661C2214yescomplemented
106#2661C2214yescomplemented
107#2657C2212yes—
108#2657C2212yescomplemented
109#2653C2214yescomplemented
110#2653C2214yescomplemented
111#2653C2214yescomplemented
112#2649C2214yescomplemented
113#2648C2214yescomplemented
114#2645C2212yescomplemented
115#2644C2212yescomplemented
116#2641C2212yes—
117#2640C2212yescomplemented
118#2631C2214yescomplemented
119#2629C2212yescomplemented
120#2626C2214yes—
121#2619C2212yes—
122#2619C2212yes—
123#2615C2212yescomplemented
124#2615C2212yescomplemented
125#2615C2212yescomplemented
126#2613C2214yes—
127#2602C2214yescomplemented
128#2592C2212yescomplemented
129#2580C2212yescomplemented
130#2573C2212yes—
131#2573C2212yescomplemented
132#2571C2211yescharacteristic, complemented
133#2568C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2562C2212yes—
136#2562C2212yes—
137#2559C2214yescomplemented
138#2559C2212yescomplemented
139#2557C2212yes—
140#2557C2214yescomplemented
141#2557C2214yescomplemented
142#2554C2214yescomplemented
143#2552C2211yescharacteristic, complemented
144#2550C2211yescharacteristic, complemented
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2212yescomplemented
149#2547C2211yescharacteristic
150#2547C2212yescomplemented
151#2547C2211yescharacteristic, complemented
152#2547C2211yescharacteristic, complemented
153#2545C2212yescomplemented
154#2545C2212yescomplemented
155#2544C2212yes—
156#2544C2212yescomplemented
157#2544C2211yescharacteristic, complemented
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2541C2211yescharacteristic
161#2541C2211yescharacteristic
162#2541C2212yescomplemented
163#2540C2211yescharacteristic
164#2539C2214yes—
165#2538C2211yescharacteristic
166#2538C2212yes—
167#2538C2211yescharacteristic, complemented
168#2535C2211yescharacteristic
169#2535C2212yescomplemented
170#2535C2212yescomplemented
171#2521C2212yescomplemented
172#2514C2212yescomplemented
173#2513C2212yescomplemented
174#2512C2212yescomplemented
175#2501C2212yescomplemented
176#2494C2211yescharacteristic
177#2494C2211yescharacteristic, complemented
178#2494C2212yescomplemented
179#2492C2211yescharacteristic
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2490C2214yescomplemented
183#2490C2211yescharacteristic, complemented
184#2490C2214yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2490C2212yescomplemented
188#2490C2212yescomplemented
189#2490C2212yescomplemented
190#2487C2212yes—
191#2480C2214yes—
192#2477C2214yescomplemented
193#2470C2214yescomplemented
194#2464C2212yes—
195#2464C2214yescomplemented
196#2460C2214yescomplemented
197#2456C2214yescomplemented
198#2456C2214yescomplemented
199#2456C2214yescomplemented
200#2456C2214yescomplemented
201#2456C2214yescomplemented
202#2455C2214yescomplemented
203#2454C2212yescomplemented
204#2453C2212yescomplemented
205#2452C2212yescomplemented
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2447C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yescomplemented
213#2445C2212yescomplemented
214#2442C2212yescomplemented
215#2435C2212yes—
216#2435C2212yes—
217#2433C2212yes—
218#2433C2212yes—
219#2432C2212yescomplemented
220#2431C2212yes—
221#2431C2212yes—
222#2431C2212yescomplemented
223#2431C2212yescomplemented
224#2429C2212yes—
225#2428C2211yescharacteristic
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2212yes—
232#2427C2211yescharacteristic, complemented
233#2426C2212yes—
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2212yescomplemented
237#2423C2212yes—
238#2422C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2422C2212yescomplemented
242#2421C2211yescharacteristic
243#2421C2211yescharacteristic, complemented
244#2418C2214yes—
245#2416C2212yescomplemented
246#2414C2214yescomplemented
247#2411C2214yes—
248#2410C2214yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yescomplemented
255#2401C2212yes—
256#2401C2212yescomplemented
257#2395C2212yescomplemented
258#2392C2214yescomplemented
259#2388C2212yes—
260#2367C2212yescomplemented
261#2367C2212yescomplemented
262#2366C2211yescharacteristic
263#2365C2211yescharacteristic, complemented
264#2361C2212yescomplemented
265#2358C2214yes—
266Q8×C4⋊C4C2211yescharacteristic, complemented
267D4×C4⋊C4C2211yescharacteristic, complemented
268#2341C2212yescomplemented
269#2341C2212yescomplemented
270#2341C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2323C2212yescomplemented
277#2321C2214yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#127C2212yescomplemented
281C4×#124C2212yes—
282C4×#124C2212yescomplemented
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291#2297C2212yescomplemented
292#2295C2212yescomplemented
293#2293C2212yescomplemented
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#559—48no—
306#559—48no—
307#557—44no—
308#550—44no—
309#546—48no—
310#546—48no—
311#537—48no—
312#532—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329#529—44no—
330#529—48no—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×#125C2314yes—
337C2×#124C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2311yescharacteristic
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C22×C4⋊C4C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439#401C2312yes—
440#401C2314yes—
441#401C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2314yes—
448#400C2312yes—
449#400C2312yes—
450#400C2314yes—
451#400C2312yes—
452#400C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#395C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2314yes—
572#392C2314yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2312yes—
740#383C2312yes—
741#383C2312yes—
742#382C2311yescharacteristic
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2312yes—
747#382C2311yescharacteristic
748#381C2312yes—
749#381C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2312yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774#379C2314yes—
775#379C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2312yes—
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—82no—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—42no—
891C4⋊Q8—42no—
892C4⋊Q8—44no—
893#127—24no—
894#127—24no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—42no—
900#127—44no—
901#127—44no—
902#127—44no—
903#126—44no—
904#126—48no—
905#125—42no—
906#125—44no—
907#125—44no—
908#125—48no—
909#124—28no—
910#124—28no—
911#124—24no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—42no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—48no—
922#124—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—44no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—84no—
932#123—84no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—24no—
936C22⋊Q8—48no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939C22⋊Q8—44no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—42no—
953#121—44no—
954#121—42no—
955#121—42no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—84no—
964#121—84no—
965#121—82no—
966#120—48no—
967#120—48no—
968#120—48no—
969#120—48no—
970#120—84no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—24no—
974C4×Q8—28no—
975C4×Q8—42no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—28no—
984C4×D4—24no—
985C4×D4—48no—
986C4×D4—42no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—42no—
1001C4×D4—84no—
1002C4×D4—82no—
1003#117—44no—
1004#117—48no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—28no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2514yes—
1233C24C2514yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237C24C2511yescharacteristic
1238#41—816no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8H(5,𝔽2)14yes—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—41no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—816no—
1341C2×D4—816no—
1342C2×D4—816no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2514yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—24no—
1561C42—42no—
1562C42—42no—
1563C42—41no—
1564C42—44no—
1565C42—44no—
1566C42—41no—
1567C42—42no—
1568C42—42no—
1569C42—44no—
1570C42—42no—
1571C42H(5,𝔽2)14yes—
1572C42H(5,𝔽2)14yes—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—24no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—21no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—24no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—24no—
1597C23—21no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—21no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—21no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—164no—
1620C23—164no—
1621C23#58512yes—
1622C23C2611yescharacteristic
1623Q8—28no—
1624Q8—44no—
1625Q8—48no—
1626Q8—84no—
1627Q8—84no—
1628D4—44no—
1629D4—48no—
1630D4—44no—
1631D4—44no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—48no—
1636D4—84no—
1637D4—88no—
1638D4—84no—
1639D4—84no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—84no—
1649D4—84no—
1650D4—84no—
1651D4—88no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—164no—
1747C2×C4—164no—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)14yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C2×C4#58512yes—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—44no—
1769C22—44no—
1770C22—41no—
1771C22—44no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—42no—
1781C22—42no—
1782C22—44no—
1783C22—41no—
1784C22—44no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—41no—
1790C22—41no—
1791C22—44no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—41no—
1799C22—44no—
1800C22—1616no—
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22H(7,𝔽2)11yescharacteristic
1808C4—24no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—42no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4—41no—
1817C4—41no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4#354614yes—
1836C4#355814yes—
1837C2—42no—
1838C2—81no—
1839C2—82no—
1840C2—82no—
1841C2—84no—
1842C2—84no—
1843C2C2×#355811yescharacteristic
1844C2C2×#354611yescharacteristic
1845C2#6274811yescharacteristic
1846C2#6291611yescharacteristic
1847C2#6292411yescharacteristic
1848C2#6296911yescharacteristic
1849C2#6301911yescharacteristic
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. #59641C2semidirect
2. #59414C2semidirect
3. #59124C2semidirect
4. #59078C2semidirect
5. #59038C2semidirect
6. #53788C2semidirect
7. #53393C2semidirect
8. #53088C2semidirect
9. #53000C2semidirect
10. #52976C2semidirect
11. #52967C2semidirect
12. #52476C2semidirect
13. #42988C2semidirect
14. #42907C2semidirect
15. #42895C2semidirect
16. #42634C2semidirect
17. #41044C2semidirect
18. #40044C2semidirect
19. #39953C2semidirect
20. #39739C2semidirect
21. #39341C2semidirect
22. #39147C2semidirect
23. #39146C2semidirect
24. #39127C2semidirect
25. #37785C2semidirect
26. #37618C2semidirect
27. #37614C2semidirect
28. #37572C2semidirect
29. #37515C2semidirect
30. #36583C2semidirect
31. #36469C2semidirect
32. #36121C2semidirect
33. #34945C2semidirect
34. #34934C2semidirect
35. #34889C2semidirect
36. C2×#559C22semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
42. C2×#537C22semidirect
44. C2×#532C22semidirect
47. C2×#529C22semidirect
49. #2858C22semidirect
52. #2854C22semidirect
53. #2837C22semidirect
54. #2832C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
63. #2815C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
67. #2779C22semidirect
68. #2778C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2770C22semidirect
72. #2757C22semidirect
76. #2733C22semidirect
77. #2733C22semidirect
78. #2725C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2708C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2702C22semidirect
90. #2701C22semidirect
91. #2693C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
98. #2676C22semidirect
99. #2675C22semidirect
104. #2663C22semidirect
105. #2661C22semidirect
106. #2661C22semidirect
108. #2657C22semidirect
109. #2653C22semidirect
110. #2653C22semidirect
111. #2653C22semidirect
112. #2649C22semidirect
113. #2648C22semidirect
114. #2645C22semidirect
115. #2644C22semidirect
117. #2640C22semidirect
118. #2631C22semidirect
119. #2629C22semidirect
123. #2615C22semidirect
124. #2615C22semidirect
125. #2615C22semidirect
127. #2602C22semidirect
128. #2592C22semidirect
129. #2580C22semidirect
131. #2573C22semidirect
132. #2571C22semidirect
133. #2568C22semidirect
134. #2566C22semidirect
137. #2559C22semidirect
138. #2559C22semidirect
140. #2557C22semidirect
141. #2557C22semidirect
142. #2554C22semidirect
143. #2552C22semidirect
144. #2550C22semidirect
148. #2548C22semidirect
150. #2547C22semidirect
151. #2547C22semidirect
152. #2547C22semidirect
153. #2545C22semidirect
154. #2545C22semidirect
156. #2544C22semidirect
157. #2544C22semidirect
162. #2541C22semidirect
167. #2538C22semidirect
169. #2535C22semidirect
170. #2535C22semidirect
171. #2521C22semidirect
172. #2514C22semidirect
173. #2513C22semidirect
174. #2512C22semidirect
175. #2501C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
192. #2477C22semidirect
193. #2470C22semidirect
195. #2464C22semidirect
196. #2460C22semidirect
197. #2456C22semidirect
198. #2456C22semidirect
199. #2456C22semidirect
200. #2456C22semidirect
201. #2456C22semidirect
202. #2455C22semidirect
203. #2454C22semidirect
204. #2453C22semidirect
205. #2452C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
212. #2445C22semidirect
213. #2445C22semidirect
214. #2442C22semidirect
219. #2432C22semidirect
222. #2431C22semidirect
223. #2431C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
232. #2427C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2422C22semidirect
243. #2421C22semidirect
245. #2416C22semidirect
246. #2414C22semidirect
254. #2407C22semidirect
256. #2401C22semidirect
257. #2395C22semidirect
258. #2392C22semidirect
260. #2367C22semidirect
261. #2367C22semidirect
263. #2365C22semidirect
264. #2361C22semidirect
266. Q8×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. #2341C22semidirect
269. #2341C22semidirect
270. #2341C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
276. #2323C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2293C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596412
#594142
#591242
#590782
#590382
#537882
#533932
#530882
#530002
#529762
#529672
#524762
#429882
#429072
#428952
#426342
#410442
#400442
#399532
#397392
#393412
#391472
#391462
#391272
#377852
#376182
#376142
#375722
#375152
#365832
#364692
#361212
#349452
#349342
#348892