Finite Group Databasebeta

← #7710659

Subgroups — #7710659

Order 512.

5730 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59639C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59410C211yesmaximal, characteristic, complemented
5#59053C212yesmaximal, complemented
6#59038C212yesmaximal, complemented
7#45896C214yesmaximal, complemented
8#45655C212yesmaximal, complemented
9#45632C212yesmaximal, complemented
10#40421C214yesmaximal, complemented
11#40003C212yesmaximal, complemented
12#39953C212yesmaximal, complemented
13#39926C212yesmaximal, complemented
14#39876C212yesmaximal, complemented
15#39196C212yesmaximal, complemented
16#39138C211yesmaximal, characteristic, complemented
17#39136C211yesmaximal, characteristic, complemented
18#38945C212yesmaximal, complemented
19#38910C211yesmaximal, characteristic, complemented
20#38908C211yesmaximal, characteristic, complemented
21#38749C214yesmaximal, complemented
22#37570C212yesmaximal, complemented
23#36812C214yesmaximal, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36493C212yesmaximal, complemented
27#36477C211yesmaximal, characteristic, complemented
28#36468C211yesmaximal, characteristic, complemented
29#36419C211yesmaximal, characteristic, complemented
30#36360C212yesmaximal, complemented
31#36260C211yesmaximal, characteristic, complemented
32#35038C212yesmaximal, complemented
33#35025C212yesmaximal, complemented
34#34495C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#556C2211yescharacteristic, complemented
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×D42C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#529C2212yescomplemented
48C2×#529C2211yescharacteristic, complemented
49C2×C4×#41C2212yescomplemented
50#2861C2211yescharacteristic
51#2861C2212yescomplemented
52#2861C2211yescharacteristic, complemented
53#2860C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2860C2212yescomplemented
57#2859C2211yescharacteristic, complemented
58#2859C2211yescharacteristic, complemented
59#2858C2211yescharacteristic
60#2858C2211yescharacteristic
61#2857C2211yescharacteristic, complemented
62#2857C2211yescharacteristic, complemented
63#2856C2211yescharacteristic
64#2856C2211yescharacteristic
65#2856C2212yes—
66#2855C2212yescomplemented
67#2854C2212yes—
68#2854C2212yescomplemented
69#2854C2212yescomplemented
70#2854C2212yescomplemented
71#2854C2212yescomplemented
72#2850C2211yescharacteristic
73#2850C2211yescharacteristic, complemented
74#2850C2212yescomplemented
75#2850C2212yescomplemented
76#2837C2214yescomplemented
77#2828C2214yescomplemented
78#2807C2214yescomplemented
79#2803C2214yescomplemented
80#2798C2214yescomplemented
81#2798C2214yescomplemented
82#2773C2214yescomplemented
83#2748C2214yescomplemented
84#2727C2214yescomplemented
85#2714C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2706C2214yescomplemented
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2705C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2703C2214yescomplemented
96#2703C2214yescomplemented
97#2695C2214yescomplemented
98#2693C2214yescomplemented
99#2693C2214yescomplemented
100#2685C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2670C2214yescomplemented
109#2669C2214yescomplemented
110#2661C2214yescomplemented
111#2651C2214yescomplemented
112#2649C2214yescomplemented
113#2648C2214yescomplemented
114#2648C2214yescomplemented
115#2635C2214yescomplemented
116#2625C2212yescomplemented
117#2624C2212yes—
118#2620C2212yescomplemented
119#2619C2212yescomplemented
120#2608C2214yescomplemented
121#2602C2214yescomplemented
122#2596C2214yescomplemented
123#2595C2214yescomplemented
124#2593C2214yescomplemented
125#2592C2212yes—
126#2587C2214yescomplemented
127#2580C2212yescomplemented
128#2570C2212yescomplemented
129#2568C2211yescharacteristic, complemented
130#2566C2212yes—
131#2562C2212yescomplemented
132#2559C2214yescomplemented
133#2559C2214yescomplemented
134#2559C2214yescomplemented
135#2559C2214yescomplemented
136#2554C2214yescomplemented
137#2554C2214yescomplemented
138#2548C2211yescharacteristic
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2542C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2540C2212yes—
146#2540C2212yes—
147#2540C2212yes—
148#2540C2212yescomplemented
149#2540C2212yescomplemented
150#2539C2214yes—
151#2539C2214yes—
152#2538C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2212yescomplemented
155#2538C2212yescomplemented
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic, complemented
158#2535C2212yes—
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2535C2212yescomplemented
162#2513C2212yes—
163#2511C2212yescomplemented
164#2501C2212yes—
165#2501C2212yescomplemented
166#2500C2212yescomplemented
167#2499C2212yescomplemented
168#2497C2212yescomplemented
169#2496C2212yescomplemented
170#2492C2212yescomplemented
171#2491C2212yescomplemented
172#2490C2212yes—
173#2490C2212yescomplemented
174#2480C2214yescomplemented
175#2479C2214yescomplemented
176#2476C2214yescomplemented
177#2471C2214yescomplemented
178#2471C2214yescomplemented
179#2471C2214yescomplemented
180#2470C2214yescomplemented
181#2467C2214yescomplemented
182#2458C2214yescomplemented
183#2456C2214yescomplemented
184#2456C2214yescomplemented
185#2456C2214yescomplemented
186#2456C2214yescomplemented
187#2455C2214yescomplemented
188#2448C2214yescomplemented
189#2448C2212yescomplemented
190#2445C2212yescomplemented
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2435C2212yes—
194#2433C2212yes—
195#2433C2212yes—
196#2432C2212yescomplemented
197#2431C2212yes—
198#2431C2212yescomplemented
199#2431C2214yescomplemented
200#2429C2212yescomplemented
201#2428C2212yes—
202#2428C2212yes—
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yescomplemented
206#2424C2214yes—
207#2423C2212yescomplemented
208#2422C2212yes—
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2418C2214yescomplemented
212#2418C2214yescomplemented
213#2417C2212yescomplemented
214#2417C2212yescomplemented
215#2417C2212yescomplemented
216#2414C2212yes—
217#2414C2212yes—
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2411C2214yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2376C2214yescomplemented
229#2375C2214yescomplemented
230#2370C2212yescomplemented
231#2367C2212yescomplemented
232#2367C2212yescomplemented
233#2366C2214yescomplemented
234#2363C2214yescomplemented
235#2362C2212yescomplemented
236#2361C2212yescomplemented
237#2358C2214yescomplemented
238#2357C2212yes—
239#2355C2212yescomplemented
240#2355C2211yescharacteristic, complemented
241#2354C2211yescharacteristic
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244Q8×C4⋊C4C2211yescharacteristic, complemented
245D4×C4⋊C4C2211yescharacteristic, complemented
246#2342C2214yescomplemented
247#2341C2212yes—
248D4×C22⋊C4C2212yes—
249#2335C2214yescomplemented
250#2335C2214yescomplemented
251#2333C2214yescomplemented
252#2324C2212yescomplemented
253#2323C2212yescomplemented
254#2321C2214yescomplemented
255#2321C2214yescomplemented
256#2312C2214yescomplemented
257#2311C2212yes—
258#2309C2212yes—
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2212yescomplemented
269C4×#124C2211yescharacteristic, complemented
270C4×#124C2212yescomplemented
271C4×#124C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yescomplemented
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2293C2211yescharacteristic
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2285C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#556—44no—
306#553—48no—
307#550—44no—
308#547—44no—
309#546—216no—
310#546—48no—
311#546—48no—
312D42—44no—
313#532—28no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2314yes—
323#529—44no—
324#529—44no—
325#529—48no—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C4×#41—48no—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C22⋊C4C2314yes—
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2314yes—
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2312yes—
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
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#393C2314yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2314yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2312yes—
750#381C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C25C2414yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C4⋊Q8—24no—
889C4⋊Q8—24no—
890C4⋊Q8—42no—
891#127—24no—
892#127—24no—
893#127—42no—
894#127—44no—
895#127—44no—
896#127—48no—
897#126—48no—
898#126—44no—
899#126—44no—
900#126—48no—
901#126—48no—
902#125—28no—
903#125—42no—
904#125—42no—
905#124—28no—
906#124—28no—
907#124—28no—
908#124—24no—
909#124—24no—
910#124—42no—
911#124—42no—
912#124—44no—
913#124—44no—
914#124—48no—
915#123—216no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—44no—
923#123—44no—
924#123—48no—
925#123—48no—
926C22⋊Q8—28no—
927C22⋊Q8—44no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935#121—24no—
936#121—216no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—44no—
949#121—42no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#120—216no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—48no—
966C4×Q8—28no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×D4—28no—
974C4×D4—24no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4#4118yescomplemented
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006#117—48no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C22⋊C4—216no—
1067C2×C22⋊C4—48no—
1068C2×C22⋊C4—48no—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—44no—
1149C2×C42—44no—
1150C2×C42—42no—
1151C2×C42—42no—
1152C2×C42—42no—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—28no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24C2512yes—
1246C24C2514yes—
1247C24C2512yes—
1248C24C2512yes—
1249C24C2512yes—
1250C24C2511yescharacteristic
1251#41—432no—
1252#41—816no—
1253#41—816no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—42no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
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×D4C2×#4114yes—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—28no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—28no—
1376C22×C4—24no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—42no—
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—44no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4C2×#4118yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2514yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4C2×#4114yes—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4C2×#4118yes—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—24no—
1571C42—24no—
1572C42—24no—
1573C42—24no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—41no—
1579C42—41no—
1580C42—41no—
1581C42—41no—
1582C42—41no—
1583C42—41no—
1584C42—41no—
1585C42—41no—
1586C42—42no—
1587C42—42no—
1588C42—42no—
1589C42—42no—
1590C42—44no—
1591C42—44no—
1592C42—44no—
1593C42—44no—
1594C42—44no—
1595C42C2×#4114yes—
1596C42H(5,𝔽2)14yes—
1597C42H(5,𝔽2)14yes—
1598C42H(5,𝔽2)14yes—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—24no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—24no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—164no—
1645C23—164no—
1646C23C22×#4114yes—
1647C23#58512yes—
1648C23C2611yescharacteristic
1649Q8—48no—
1650Q8—48no—
1651Q8—44no—
1652Q8—44no—
1653D4—28no—
1654D4—48no—
1655D4—48no—
1656D4—48no—
1657D4—48no—
1658D4—44no—
1659D4—48no—
1660D4—44no—
1661D4—44no—
1662D4—48no—
1663D4—84no—
1664D4—88no—
1665D4—84no—
1666D4—84no—
1667D4—88no—
1668D4—84no—
1669D4—84no—
1670D4—88no—
1671D4—88no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—164no—
1676D4—164no—
1677D4—164no—
1678C2×C4—28no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—48no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—84no—
1764C2×C4—88no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4—88no—
1768C2×C4—164no—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4114yes—
1772C2×C4C22×#4112yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4#58512yes—
1783C2×C4#58512yes—
1784C22—22no—
1785C22—22no—
1786C22—24no—
1787C22—24no—
1788C22—24no—
1789C22—22no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—44no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—1616no—
1827C22C23×#4111yescharacteristic
1828C22C22×H(5,𝔽2)11yescharacteristic
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C2×#58511yescharacteristic
1832C22C2×#58511yescharacteristic
1833C22C2×#58511yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—24no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—41no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—41no—
1849C4—44no—
1850C4—42no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—44no—
1855C4—41no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—44no—
1860C4—42no—
1861C4#350814yes—
1862C4#354614yes—
1863C2—42no—
1864C2—44no—
1865C2—82no—
1866C2—82no—
1867C2—84no—
1868C2—82no—
1869C2C2×#354611yescharacteristic
1870C2#6274811yescharacteristic
1871C2#6277311yescharacteristic
1872C2C2×#350811yescharacteristic
1873C2#6281611yescharacteristic
1874C2#6283011yescharacteristic
1875C2#6283411yescharacteristic
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. #59639C2semidirect
3. #59412C2semidirect
4. #59410C2semidirect
5. #59053C2semidirect
6. #59038C2semidirect
7. #45896C2semidirect
8. #45655C2semidirect
9. #45632C2semidirect
10. #40421C2semidirect
11. #40003C2semidirect
12. #39953C2semidirect
13. #39926C2semidirect
14. #39876C2semidirect
15. #39196C2semidirect
16. #39138C2semidirect
17. #39136C2semidirect
18. #38945C2semidirect
19. #38910C2semidirect
20. #38908C2semidirect
21. #38749C2semidirect
22. #37570C2semidirect
23. #36812C2semidirect
24. #36631C2semidirect
25. #36631C2semidirect
26. #36493C2semidirect
27. #36477C2semidirect
28. #36468C2semidirect
29. #36419C2semidirect
30. #36360C2semidirect
31. #36260C2semidirect
32. #35038C2semidirect
33. #35025C2semidirect
34. #34495C2semidirect
35. C4×#532C2semidirect
36. C2×#559C22semidirect
37. C2×#556C22semidirect
38. C2×#553C22semidirect
47. C2×#529C22semidirect
48. C2×#529C22semidirect
49. C2×C4×#41C22semidirect
51. #2861C22semidirect
52. #2861C22semidirect
53. #2860C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2860C22semidirect
57. #2859C22semidirect
58. #2859C22semidirect
61. #2857C22semidirect
62. #2857C22semidirect
66. #2855C22semidirect
68. #2854C22semidirect
69. #2854C22semidirect
70. #2854C22semidirect
71. #2854C22semidirect
73. #2850C22semidirect
74. #2850C22semidirect
75. #2850C22semidirect
76. #2837C22semidirect
77. #2828C22semidirect
78. #2807C22semidirect
79. #2803C22semidirect
80. #2798C22semidirect
81. #2798C22semidirect
82. #2773C22semidirect
83. #2748C22semidirect
84. #2727C22semidirect
85. #2714C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2706C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
92. #2705C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2703C22semidirect
96. #2703C22semidirect
97. #2695C22semidirect
98. #2693C22semidirect
99. #2693C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2670C22semidirect
109. #2669C22semidirect
110. #2661C22semidirect
111. #2651C22semidirect
112. #2649C22semidirect
113. #2648C22semidirect
114. #2648C22semidirect
115. #2635C22semidirect
116. #2625C22semidirect
118. #2620C22semidirect
119. #2619C22semidirect
120. #2608C22semidirect
121. #2602C22semidirect
122. #2596C22semidirect
123. #2595C22semidirect
124. #2593C22semidirect
126. #2587C22semidirect
127. #2580C22semidirect
128. #2570C22semidirect
129. #2568C22semidirect
131. #2562C22semidirect
132. #2559C22semidirect
133. #2559C22semidirect
134. #2559C22semidirect
135. #2559C22semidirect
136. #2554C22semidirect
137. #2554C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
157. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2535C22semidirect
163. #2511C22semidirect
165. #2501C22semidirect
166. #2500C22semidirect
167. #2499C22semidirect
168. #2497C22semidirect
169. #2496C22semidirect
170. #2492C22semidirect
171. #2491C22semidirect
173. #2490C22semidirect
174. #2480C22semidirect
175. #2479C22semidirect
176. #2476C22semidirect
177. #2471C22semidirect
178. #2471C22semidirect
179. #2471C22semidirect
180. #2470C22semidirect
181. #2467C22semidirect
182. #2458C22semidirect
183. #2456C22semidirect
184. #2456C22semidirect
185. #2456C22semidirect
186. #2456C22semidirect
187. #2455C22semidirect
188. #2448C22semidirect
189. #2448C22semidirect
190. #2445C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
196. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2429C22semidirect
203. #2427C22semidirect
205. #2426C22semidirect
207. #2423C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2418C22semidirect
212. #2418C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2411C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2376C22semidirect
229. #2375C22semidirect
230. #2370C22semidirect
231. #2367C22semidirect
232. #2367C22semidirect
233. #2366C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2361C22semidirect
237. #2358C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. Q8×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2342C22semidirect
249. #2335C22semidirect
250. #2335C22semidirect
251. #2333C22semidirect
252. #2324C22semidirect
253. #2323C22semidirect
254. #2321C22semidirect
255. #2321C22semidirect
256. #2312C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C43C22semidirect
1001. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596412
#596392
#594122
#594102
#590532
#590382
#458962
#456552
#456322
#404212
#400032
#399532
#399262
#398762
#391962
#391382
#391362
#389452
#389102
#389082
#387492
#375702
#368122
#366312
#364932
#364772
#364682
#364192
#363602
#362602
#350382
#350252
#344952
C4×#5322