Finite Group Databasebeta

← #8467132

Subgroups — #8467132

Order 512.

5896 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#58583C214yesmaximal, complemented
5#57354C214yesmaximal, complemented
6#55312C214yesmaximal, complemented
7#53116C212yesmaximal, complemented
8#53102C212yesmaximal, complemented
9#49590C214yesmaximal, complemented
10#46338C212yesmaximal, complemented
11#46054C212yesmaximal, complemented
12#44929C212yesmaximal, complemented
13#44927C212yesmaximal, complemented
14#42971C212yesmaximal, complemented
15#42889C212yesmaximal, complemented
16#42606C212yesmaximal, complemented
17#42443C212yesmaximal, complemented
18#39362C211yesmaximal, characteristic, complemented
19#38957C212yesmaximal, complemented
20#38953C212yesmaximal, complemented
21#38940C211yesmaximal, characteristic, complemented
22#38920C211yesmaximal, characteristic, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38288C212yesmaximal, complemented
25#38216C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37334C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36271C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×#555C2212yescomplemented
39C2×#550C2212yescomplemented
40C2×#547C2211yescharacteristic, complemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×D42C2211yescharacteristic
45C2×#542C2212yescomplemented
46C2×#535C2212yescomplemented
47C2×#532C2211yescharacteristic, complemented
48C22×#127C2211yescharacteristic
49C2×#529C2211yescharacteristic, complemented
50C2×#529C2211yescharacteristic, complemented
51#2861C2212yescomplemented
52#2860C2212yescomplemented
53#2860C2212yescomplemented
54#2858C2211yescharacteristic
55#2858C2212yescomplemented
56#2858C2212yescomplemented
57#2858C2212yescomplemented
58#2857C2211yescharacteristic, complemented
59#2856C2211yescharacteristic
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2824C2214yescomplemented
63#2819C2214yescomplemented
64#2818C2214yescomplemented
65#2818C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yescomplemented
68#2803C2214yescomplemented
69#2795C2214yescomplemented
70#2781C2214yescomplemented
71#2775C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2753C2214yescomplemented
75#2737C2214yescomplemented
76#2733C2214yescomplemented
77#2733C2214yescomplemented
78#2718C2214yescomplemented
79#2718C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2712C2214yescomplemented
85#2710C2214yescomplemented
86#2706C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2684C2214yescomplemented
94#2684C2214yescomplemented
95#2684C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2673C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2670C2214yescomplemented
114#2669C2214yes—
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2662C2214yescomplemented
118#2661C2214yescomplemented
119#2657C2212yescomplemented
120#2641C2212yescomplemented
121#2640C2212yescomplemented
122#2636C2214yescomplemented
123#2626C2214yescomplemented
124#2624C2212yescomplemented
125#2624C2212yescomplemented
126#2620C2214yescomplemented
127#2620C2212yescomplemented
128#2620C2214yescomplemented
129#2619C2214yescomplemented
130#2619C2212yescomplemented
131#2619C2212yescomplemented
132#2613C2214yescomplemented
133#2610C2214yescomplemented
134#2609C2214yescomplemented
135#2603C2214yescomplemented
136#2601C2214yescomplemented
137#2598C2214yescomplemented
138#2592C2212yescomplemented
139#2563C2212yescomplemented
140#2560C2214yescomplemented
141#2555C2214yescomplemented
142#2554C2212yescomplemented
143#2554C2212yescomplemented
144#2552C2211yescharacteristic, complemented
145#2551C2211yescharacteristic, complemented
146#2548C2211yescharacteristic
147#2548C2212yescomplemented
148#2548C2211yescharacteristic, complemented
149#2548C2211yescharacteristic, complemented
150#2548C2212yescomplemented
151#2547C2211yescharacteristic, complemented
152#2546C2211yescharacteristic, complemented
153#2545C2212yescomplemented
154#2544C2212yescomplemented
155#2542C2212yescomplemented
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2211yescharacteristic
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2541C2211yescharacteristic, complemented
163#2540C2212yescomplemented
164#2538C2211yescharacteristic, complemented
165#2538C2211yescharacteristic, complemented
166#2537C2212yescomplemented
167#2532C2212yescomplemented
168#2526C2212yescomplemented
169#2518C2214yescomplemented
170#2518C2212yescomplemented
171#2513C2211yescharacteristic, complemented
172#2512C2212yescomplemented
173#2512C2212yescomplemented
174#2508C2211yescharacteristic, complemented
175#2500C2214yescomplemented
176#2500C2214yescomplemented
177#2500C2211yescharacteristic, complemented
178#2497C2211yescharacteristic, complemented
179#2495C2212yescomplemented
180#2492C2212yescomplemented
181#2491C2211yescharacteristic
182#2491C2212yescomplemented
183#2491C2212yescomplemented
184#2491C2212yescomplemented
185#2490C2211yescharacteristic, complemented
186#2490C2211yescharacteristic, complemented
187#2490C2212yescomplemented
188#2489C2212yescomplemented
189#2487C2212yescomplemented
190#2485C2211yescharacteristic, complemented
191#2485C2212yescomplemented
192#2476C2214yescomplemented
193#2464C2214yescomplemented
194#2461C2214yescomplemented
195#2459C2212yescomplemented
196#2456C2214yescomplemented
197#2452C2212yescomplemented
198#2452C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2439C2212yescomplemented
204#2439C2211yescharacteristic, complemented
205#2435C2214yescomplemented
206#2435C2212yescomplemented
207#2435C2212yescomplemented
208#2435C2212yescomplemented
209#2435C2212yescomplemented
210#2433C2212yes—
211#2433C2212yes—
212#2433C2214yescomplemented
213#2433C2212yescomplemented
214#2432C2212yescomplemented
215#2432C2212yescomplemented
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2426C2212yes—
227#2426C2211yescharacteristic
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2211yescharacteristic, complemented
231#2424C2214yescomplemented
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2414C2212yes—
236#2414C2211yescharacteristic
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2214yescomplemented
244#2411C2214yescomplemented
245#2410C2214yescomplemented
246#2408C2212yes—
247#2408C2212yes—
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2403C2214yes—
259#2398C2212yescomplemented
260#2392C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2375C2214yescomplemented
264#2367C2212yescomplemented
265#2366C2211yescharacteristic
266#2365C2211yescharacteristic, complemented
267#2363C2212yescomplemented
268#2361C2212yescomplemented
269#2354C2211yescharacteristic, complemented
270#2354C2211yescharacteristic, complemented
271#2354C2212yescomplemented
272D4×C22⋊C4C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274#2324C2212yescomplemented
275#2324C2212yescomplemented
276#2324C2212yescomplemented
277#2320C2212yescomplemented
278#2317C2212yescomplemented
279#2309C2214yescomplemented
280#2309C2212yescomplemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2212yescomplemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290#2298C2212yescomplemented
291#2293C2212yescomplemented
292#2293C2212yescomplemented
293#2293C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#556—48no—
308#555—48no—
309#555—48no—
310#550—48no—
311#547—44no—
312#546—48no—
313D42—44no—
314D42—48no—
315D42—48no—
316#542—48no—
317#535—48no—
318#532—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×#127—44no—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337#529—44no—
338#529—44no—
339C2×#126C2314yes—
340C2×#126C2312yes—
341C2×#126C2314yes—
342C2×#126C2312yes—
343C2×#126C2314yes—
344C2×#125C2311yescharacteristic
345C2×#125C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2311yescharacteristic
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2314yes—
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2314yes—
454C2×#117C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C22⋊C4C2314yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459#400C2312yes—
460#400C2314yes—
461#400C2314yes—
462#400C2312yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2312yes—
494#396C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
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#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2314yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2312yes—
752#384C2311yescharacteristic
753#384C2314yes—
754#383C2312yes—
755#383C2314yes—
756#382C2314yes—
757#382C2314yes—
758#382C2311yescharacteristic
759#382C2311yescharacteristic
760#382C2312yes—
761#381C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820#376C2312yes—
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2312yes—
824C43C2312yes—
825C25C2414yes—
826C25C2414yes—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—48no—
843C22×D4—48no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—82no—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2414yes—
902C4⋊Q8—24no—
903C4⋊Q8—24no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906C4⋊Q8—44no—
907#127—24no—
908#127—24no—
909#127—24no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—48no—
917#127—44no—
918#127—44no—
919#126—44no—
920#126—44no—
921#126—48no—
922#126—48no—
923#126—48no—
924#125—42no—
925#125—42no—
926#124—28no—
927#124—48no—
928#124—48no—
929#124—48no—
930#124—42no—
931#124—42no—
932#124—44no—
933#124—44no—
934#124—44no—
935#124—48no—
936#124—44no—
937#124—44no—
938#124—44no—
939#124—48no—
940#124—84no—
941#124—84no—
942#123—48no—
943#123—48no—
944#123—44no—
945#123—44no—
946#123—48no—
947C22⋊Q8—48no—
948C22⋊Q8—48no—
949C22⋊Q8—42no—
950C22⋊Q8—42no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954#121—24no—
955#121—24no—
956#121—28no—
957#121—28no—
958#121—24no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—42no—
971#121—44no—
972#121—42no—
973#121—42no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—84no—
985#121—82no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—48no—
993#120—48no—
994#120—48no—
995#120—84no—
996#120—84no—
997#120—84no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—44no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—48no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—42no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—42no—
1024C4×D4—82no—
1025#117—28no—
1026#117—24no—
1027#117—28no—
1028#117—44no—
1029#117—44no—
1030#117—48no—
1031#117—48no—
1032#117—48no—
1033#117—42no—
1034#117—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C42—24no—
1175C2×C42—24no—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2412yes—
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—28no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24C2512yes—
1264C24C2514yes—
1265C24C2512yes—
1266C24C2514yes—
1267C24C2512yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270#41—816no—
1271#41—816no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—42no—
1280C2×Q8—42no—
1281C2×Q8—44no—
1282C2×Q8—44no—
1283C2×Q8—44no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
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—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—832no—
1387C2×D4—816no—
1388C2×D4—816no—
1389C2×D4—816no—
1390C2×D4—816no—
1391C2×D4—816no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—28no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—28no—
1419C22×C4—44no—
1420C22×C4—41no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—41no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—41no—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2514yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—41no—
1492C4⋊C4—42no—
1493C4⋊C4—41no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4H(5,𝔽2)14yes—
1508C4⋊C4H(5,𝔽2)14yes—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—22no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—41no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—28no—
1603C42—24no—
1604C42—24no—
1605C42—24no—
1606C42—24no—
1607C42—28no—
1608C42—24no—
1609C42—24no—
1610C42—22no—
1611C42—24no—
1612C42—22no—
1613C42—24no—
1614C42—22no—
1615C42—42no—
1616C42—44no—
1617C42—41no—
1618C42—41no—
1619C42—42no—
1620C42—42no—
1621C42—42no—
1622C42—42no—
1623C42H(5,𝔽2)14yes—
1624C42H(5,𝔽2)14yes—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—24no—
1636C23—22no—
1637C23—24no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—24no—
1642C23—21no—
1643C23—22no—
1644C23—24no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—21no—
1651C23—22no—
1652C23—24no—
1653C23—24no—
1654C23—22no—
1655C23—21no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—24no—
1662C23—24no—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—24no—
1672C23—21no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—88no—
1681C23—164no—
1682C23—164no—
1683C23—164no—
1684C23—164no—
1685C23—164no—
1686C23—164no—
1687C23#58512yes—
1688C23C2611yescharacteristic
1689Q8—44no—
1690Q8—48no—
1691Q8—84no—
1692Q8—164no—
1693D4—44no—
1694D4—48no—
1695D4—48no—
1696D4—48no—
1697D4—48no—
1698D4—44no—
1699D4—48no—
1700D4—44no—
1701D4—48no—
1702D4—48no—
1703D4—44no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708D4—88no—
1709D4—84no—
1710D4—84no—
1711D4—88no—
1712D4—84no—
1713D4—84no—
1714D4—88no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—88no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724D4—164no—
1725D4—164no—
1726D4—164no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—416no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—44no—
1809C2×C4—88no—
1810C2×C4—82no—
1811C2×C4—88no—
1812C2×C4—88no—
1813C2×C4C2×H(5,𝔽2)14yes—
1814C2×C4C2×H(5,𝔽2)14yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4#58512yes—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—44no—
1836C22—44no—
1837C22—44no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—41no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—44no—
1847C22—44no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—42no—
1852C22—44no—
1853C22—44no—
1854C22—42no—
1855C22—44no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—41no—
1868C22—44no—
1869C22—44no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—1616no—
1874C22—1616no—
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C2×#58511yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22H(7,𝔽2)11yescharacteristic
1882C4—24no—
1883C4—24no—
1884C4—22no—
1885C4—22no—
1886C4—22no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—41no—
1893C4—41no—
1894C4—42no—
1895C4—41no—
1896C4—44no—
1897C4—42no—
1898C4—42no—
1899C4—44no—
1900C4—42no—
1901C4—42no—
1902C4—41no—
1903C4—42no—
1904C4—42no—
1905C4—41no—
1906C4—41no—
1907C4—42no—
1908C4#354614yes—
1909C4#354914yes—
1910C2—42no—
1911C2—81no—
1912C2—82no—
1913C2—84no—
1914C2—82no—
1915C2—84no—
1916C2—82no—
1917C2C2×#354611yescharacteristic
1918C2C2×#354911yescharacteristic
1919C2#6283011yescharacteristic
1920C2#6291611yescharacteristic
1921C2#6292311yescharacteristic
1922C2#6292411yescharacteristic
1923C2#6301211yescharacteristic
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. #59822C2semidirect
2. #59126C2semidirect
3. #59051C2semidirect
4. #58583C2semidirect
5. #57354C2semidirect
6. #55312C2semidirect
7. #53116C2semidirect
8. #53102C2semidirect
9. #49590C2semidirect
10. #46338C2semidirect
11. #46054C2semidirect
12. #44929C2semidirect
13. #44927C2semidirect
14. #42971C2semidirect
15. #42889C2semidirect
16. #42606C2semidirect
17. #42443C2semidirect
18. #39362C2semidirect
19. #38957C2semidirect
20. #38953C2semidirect
21. #38940C2semidirect
22. #38920C2semidirect
23. #38910C2semidirect
24. #38288C2semidirect
25. #38216C2semidirect
26. #37614C2semidirect
27. #37334C2semidirect
28. #37305C2semidirect
29. #36273C2semidirect
30. #36271C2semidirect
31. #36121C2semidirect
32. #35198C2semidirect
33. #35191C2semidirect
34. #34934C2semidirect
35. #34800C2semidirect
36. C2×#556C22semidirect
37. C2×#555C22semidirect
38. C2×#555C22semidirect
39. C2×#550C22semidirect
40. C2×#547C22semidirect
41. C2×#546C22semidirect
45. C2×#542C22semidirect
46. C2×#535C22semidirect
47. C2×#532C22semidirect
49. C2×#529C22semidirect
50. C2×#529C22semidirect
51. #2861C22semidirect
52. #2860C22semidirect
53. #2860C22semidirect
55. #2858C22semidirect
56. #2858C22semidirect
57. #2858C22semidirect
58. #2857C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2824C22semidirect
63. #2819C22semidirect
64. #2818C22semidirect
65. #2818C22semidirect
66. #2813C22semidirect
67. #2812C22semidirect
68. #2803C22semidirect
69. #2795C22semidirect
70. #2781C22semidirect
71. #2775C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2753C22semidirect
75. #2737C22semidirect
76. #2733C22semidirect
77. #2733C22semidirect
78. #2718C22semidirect
79. #2718C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2712C22semidirect
85. #2710C22semidirect
86. #2706C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2684C22semidirect
94. #2684C22semidirect
95. #2684C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
107. #2673C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2670C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2662C22semidirect
118. #2661C22semidirect
119. #2657C22semidirect
120. #2641C22semidirect
121. #2640C22semidirect
122. #2636C22semidirect
123. #2626C22semidirect
124. #2624C22semidirect
125. #2624C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
132. #2613C22semidirect
133. #2610C22semidirect
134. #2609C22semidirect
135. #2603C22semidirect
136. #2601C22semidirect
137. #2598C22semidirect
138. #2592C22semidirect
139. #2563C22semidirect
140. #2560C22semidirect
141. #2555C22semidirect
142. #2554C22semidirect
143. #2554C22semidirect
144. #2552C22semidirect
145. #2551C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2547C22semidirect
152. #2546C22semidirect
153. #2545C22semidirect
154. #2544C22semidirect
155. #2542C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2540C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2537C22semidirect
167. #2532C22semidirect
168. #2526C22semidirect
169. #2518C22semidirect
170. #2518C22semidirect
171. #2513C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
174. #2508C22semidirect
175. #2500C22semidirect
176. #2500C22semidirect
177. #2500C22semidirect
178. #2497C22semidirect
179. #2495C22semidirect
180. #2492C22semidirect
182. #2491C22semidirect
183. #2491C22semidirect
184. #2491C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
188. #2489C22semidirect
189. #2487C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2476C22semidirect
193. #2464C22semidirect
194. #2461C22semidirect
195. #2459C22semidirect
196. #2456C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
207. #2435C22semidirect
208. #2435C22semidirect
209. #2435C22semidirect
212. #2433C22semidirect
213. #2433C22semidirect
214. #2432C22semidirect
215. #2432C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2424C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2411C22semidirect
245. #2410C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
259. #2398C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2375C22semidirect
264. #2367C22semidirect
266. #2365C22semidirect
267. #2363C22semidirect
268. #2361C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2354C22semidirect
272. D4×C22⋊C4C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. #2320C22semidirect
278. #2317C22semidirect
279. #2309C22semidirect
280. #2309C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2298C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#591262
#590512
#585832
#573542
#553122
#531162
#531022
#495902
#463382
#460542
#449292
#449272
#429712
#428892
#426062
#424432
#393622
#389572
#389532
#389402
#389202
#389102
#382882
#382162
#376142
#373342
#373052
#362732
#362712
#361212
#351982
#351912
#349342
#348002