Finite Group Databasebeta

← #8461540

Subgroups — #8461540

Order 512.

5401 conjugacy classes of subgroups.

The subgroup lattice has 1847 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59420C211yesmaximal, characteristic, complemented
2#59314C211yesmaximal, characteristic, complemented
3#59244C211yesmaximal, characteristic, complemented
4#56377C214yesmaximal, complemented
5#54864C214yesmaximal, complemented
6#54152C214yesmaximal, complemented
7#53018C212yesmaximal, complemented
8#52979C212yesmaximal, complemented
9#48406C214yesmaximal, complemented
10#46042C212yesmaximal, complemented
11#45598C212yesmaximal, complemented
12#45352C212yesmaximal, complemented
13#45112C212yesmaximal, complemented
14#42928C212yesmaximal, complemented
15#42618C212yesmaximal, complemented
16#42606C212yesmaximal, complemented
17#42486C212yesmaximal, complemented
18#40056C212yesmaximal, complemented
19#39726C211yesmaximal, characteristic, complemented
20#39194C211yesmaximal, characteristic, complemented
21#39137C211yesmaximal, characteristic, complemented
22#39120C212yesmaximal, complemented
23#38957C212yesmaximal, complemented
24#38910C211yesmaximal, characteristic, complemented
25#37664C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37355C212yesmaximal, complemented
28#37285C212yesmaximal, complemented
29#36555C211yesmaximal, characteristic, complemented
30#36182C211yesmaximal, characteristic, complemented
31D4×#121C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35172C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×#553C2212yescomplemented
40C2×D42C2211yescharacteristic
41C2×D42C2212yes—
42C2×#542C2212yescomplemented
43C2×#533C2211yescharacteristic, complemented
44C2×#529C2211yescharacteristic, complemented
45C2×#529C2211yescharacteristic, complemented
46C22×#121C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2864C2212yescomplemented
49#2860C2212yescomplemented
50#2859C2211yescharacteristic, complemented
51#2858C2212yescomplemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2848C2212yescomplemented
55#2848C2212yescomplemented
56#2847C2212yes—
57#2842C2214yescomplemented
58#2830C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2827C2214yescomplemented
62#2824C2214yescomplemented
63#2823C2214yescomplemented
64#2823C2214yescomplemented
65#2801C2214yescomplemented
66#2800C2214yescomplemented
67#2795C2214yescomplemented
68#2786C2214yescomplemented
69#2781C2214yescomplemented
70#2781C2214yescomplemented
71#2780C2214yescomplemented
72#2778C2214yescomplemented
73#2765C2214yescomplemented
74#2761C2214yescomplemented
75#2750C2214yescomplemented
76#2748C2214yescomplemented
77#2746C2214yescomplemented
78#2735C2214yescomplemented
79#2732C2214yescomplemented
80#2730C2214yescomplemented
81#2721C2214yescomplemented
82#2720C2214yescomplemented
83#2715C2214yescomplemented
84#2711C2214yescomplemented
85#2711C2214yescomplemented
86#2707C2214yescomplemented
87#2705C2214yescomplemented
88#2701C2214yescomplemented
89#2700C2214yescomplemented
90#2697C2214yescomplemented
91#2697C2214yescomplemented
92#2695C2214yescomplemented
93#2694C2214yescomplemented
94#2692C2214yescomplemented
95#2691C2214yescomplemented
96#2691C2214yescomplemented
97#2691C2214yescomplemented
98#2686C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2685C2214yescomplemented
105#2684C2214yescomplemented
106#2682C2214yescomplemented
107#2681C2214yescomplemented
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2672C2214yescomplemented
113#2668C2214yescomplemented
114#2662C2214yescomplemented
115#2653C2214yescomplemented
116#2637C2214yescomplemented
117#2636C2214yescomplemented
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2626C2214yescomplemented
121#2626C2214yescomplemented
122#2626C2214yescomplemented
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2620C2212yescomplemented
129#2618C2214yescomplemented
130#2592C2212yescomplemented
131#2587C2214yescomplemented
132#2582C2211yescharacteristic, complemented
133#2580C2212yes—
134#2580C2212yescomplemented
135#2566C2214yescomplemented
136#2566C2212yescomplemented
137#2563C2212yescomplemented
138#2560C2212yescomplemented
139#2558C2212yescomplemented
140#2551C2211yescharacteristic, complemented
141#2550C2211yescharacteristic, complemented
142#2548C2212yescomplemented
143#2548C2211yescharacteristic, complemented
144#2545C2211yescharacteristic, complemented
145#2545C2212yescomplemented
146#2542C2212yes—
147#2542C2212yescomplemented
148#2541C2211yescharacteristic
149#2540C2211yescharacteristic
150#2540C2212yescomplemented
151#2540C2212yescomplemented
152#2538C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2214yescomplemented
155#2538C2211yescharacteristic, complemented
156#2538C2211yescharacteristic, complemented
157#2538C2212yescomplemented
158#2538C2211yescharacteristic, complemented
159#2537C2211yescharacteristic
160#2537C2212yescomplemented
161#2536C2211yescharacteristic, complemented
162#2534C2214yescomplemented
163#2522C2214yescomplemented
164#2519C2212yescomplemented
165#2512C2212yescomplemented
166#2512C2212yescomplemented
167#2512C2212yescomplemented
168#2506C2212yescomplemented
169#2504C2212yescomplemented
170#2500C2212yescomplemented
171#2500C2212yescomplemented
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2494C2212yescomplemented
175#2494C2212yescomplemented
176#2491C2212yes—
177#2491C2211yescharacteristic, complemented
178#2491C2212yescomplemented
179#2490C2212yescomplemented
180#2490C2212yescomplemented
181#2489C2211yescharacteristic, complemented
182#2487C2212yescomplemented
183#2485C2212yescomplemented
184#2480C2214yescomplemented
185#2480C2212yescomplemented
186#2469C2214yescomplemented
187#2468C2212yescomplemented
188#2467C2214yescomplemented
189#2461C2214yescomplemented
190#2461C2212yescomplemented
191#2457C2212yescomplemented
192#2456C2214yescomplemented
193#2454C2212yes—
194#2454C2211yescharacteristic
195#2454C2212yescomplemented
196#2453C2212yescomplemented
197#2452C2212yescomplemented
198#2452C2212yescomplemented
199#2449C2214yescomplemented
200#2447C2211yescharacteristic, complemented
201#2445C2212yescomplemented
202#2442C2211yescharacteristic, complemented
203#2441C2212yescomplemented
204#2440C2212yescomplemented
205#2440C2212yescomplemented
206#2439C2212yescomplemented
207#2437C2214yescomplemented
208#2435C2212yes—
209#2435C2211yescharacteristic
210#2435C2212yescomplemented
211#2435C2212yescomplemented
212#2435C2214yescomplemented
213#2435C2214yescomplemented
214#2429C2211yescharacteristic, complemented
215#2428C2212yes—
216#2428C2212yescomplemented
217#2427C2211yescharacteristic
218#2427C2212yescomplemented
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2211yescharacteristic
222#2426C2214yescomplemented
223#2426C2212yescomplemented
224#2426C2212yescomplemented
225#2426C2214yescomplemented
226#2426C2212yescomplemented
227#2426C2212yescomplemented
228#2424C2214yes—
229#2424C2214yescomplemented
230#2423C2212yescomplemented
231#2423C2212yescomplemented
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2421C2212yescomplemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2420C2211yescharacteristic, complemented
238#2418C2212yescomplemented
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2211yescharacteristic, complemented
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2414C2212yescomplemented
249#2410C2214yes—
250#2408C2212yes—
251#2408C2211yescharacteristic
252#2408C2212yes—
253#2408C2214yescomplemented
254#2408C2212yescomplemented
255#2405C2214yescomplemented
256#2396C2212yescomplemented
257#2395C2212yescomplemented
258#2392C2212yescomplemented
259#2392C2212yescomplemented
260#2377C2214yescomplemented
261#2365C2212yescomplemented
262#2361C2212yes—
263#2361C2212yescomplemented
264#2361C2212yescomplemented
265#2360C2212yescomplemented
266#2354C2211yescharacteristic, complemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic
270#2345C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yescomplemented
274#2324C2212yescomplemented
275#2324C2212yescomplemented
276#2324C2212yescomplemented
277#2323C2212yescomplemented
278#2321C2214yescomplemented
279#2317C2212yescomplemented
280#2309C2212yes—
281#2309C2212yes—
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×#124C2211yescharacteristic, complemented
286C4×#124C2212yescomplemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#120C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293#2293C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304#559—44no—
305#556—48no—
306#554—48no—
307#553—48no—
308D42—44no—
309D42—48no—
310#542—48no—
311#533—44no—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318#529—44no—
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121—48no—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2312yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2314yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4—44no—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2314yes—
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#401C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2312yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2312yes—
513#395C2312yes—
514#395C2314yes—
515#395C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#384C2311yescharacteristic
733#384C2314yes—
734#384C2312yes—
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#382C2314yes—
742#382C2312yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2312yes—
747#381C2314yes—
748#381C2312yes—
749#381C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2314yes—
784#379C2312yes—
785#379C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2412yes—
823C25C2414yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—28no—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4—44no—
834C22×D4—48no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—48no—
840C22×D4—84no—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4—44no—
861C23×C4—44no—
862C23×C4—44no—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C4⋊Q8—28no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—42no—
883#127—24no—
884#127—44no—
885#126—44no—
886#126—44no—
887#126—48no—
888#126—48no—
889#126—48no—
890#126—48no—
891#125—42no—
892#125—42no—
893#125—44no—
894#125—44no—
895#125—48no—
896#124—24no—
897#124—42no—
898#124—42no—
899#124—42no—
900#124—44no—
901#124—48no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—48no—
906#124—84no—
907#123—48no—
908#123—44no—
909#123—44no—
910#123—48no—
911#123—48no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—42no—
920C22⋊Q8—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—84no—
928C22⋊Q8—84no—
929#121—24no—
930#121—28no—
931#121—24no—
932#121—28no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—84no—
950#121—82no—
951#120—48no—
952#120—48no—
953#120—48no—
954#120—44no—
955#120—48no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—44no—
961C4×Q8—48no—
962C4×Q8—42no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—44no—
971C4×D4—48no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—48no—
985C4×D4—42no—
986C4×D4—82no—
987#117—28no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—44no—
992#117—44no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—82no—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—48no—
1065C2×C22⋊C4—84no—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2414yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—24no—
1225C24—24no—
1226C24—28no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—44no—
1231C24—42no—
1232C24—42no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2514yes—
1241C24C2511yescharacteristic
1242C24C2512yes—
1243C24C2511yescharacteristic
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—28no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—42no—
1255C2×Q8—44no—
1256C2×Q8—42no—
1257C2×Q8—44no—
1258C2×Q8—42no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—28no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—416no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—41no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—816no—
1317C2×D4—816no—
1318C2×D4—832no—
1319C2×D42−1+414yes—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—28no—
1344C22×C4—41no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—816no—
1368C22×C4H(5,𝔽2)14yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4H(5,𝔽2)14yes—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—22no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—28no—
1550C42—22no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—44no—
1561C42—41no—
1562C42—44no—
1563C42—41no—
1564C42—42no—
1565C42—44no—
1566C42—42no—
1567C42—42no—
1568C42H(5,𝔽2)14yes—
1569C23—21no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—48no—
1609C23—48no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—88no—
1614C23—88no—
1615C23—88no—
1616C23—84no—
1617C23—84no—
1618C23—88no—
1619C23—88no—
1620C23—164no—
1621C23—164no—
1622C23C2×H(5,𝔽2)12yes—
1623C23C2×2−1+414yes—
1624C23#58512yes—
1625C23C2611yescharacteristic
1626Q8—44no—
1627Q8—44no—
1628Q8—44no—
1629Q8—88no—
1630Q8—84no—
1631D4—28no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—44no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—84no—
1641D4—88no—
1642D4—88no—
1643D4—84no—
1644D4—84no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—164no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—28no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—44no—
1733C2×C4—48no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—82no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—164no—
1742C2×C4—164no—
1743C2×C4—164no—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)14yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×2−1+412yes—
1752C2×C4#58512yes—
1753C22—22no—
1754C22—24no—
1755C22—22no—
1756C22—24no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—24no—
1761C22—22no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—816no—
1796C22—1616no—
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×2−1+411yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22H(7,𝔽2)11yescharacteristic
1804C4—22no—
1805C4—24no—
1806C4—22no—
1807C4—41no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—41no—
1817C4—42no—
1818C4—41no—
1819C4—44no—
1820C4—42no—
1821C4—44no—
1822C4—41no—
1823C4—44no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4#353614yes—
1832C4#354614yes—
1833C2—42no—
1834C2—42no—
1835C2—44no—
1836C2—82no—
1837C2—84no—
1838C2—82no—
1839C2C2×#353611yescharacteristic
1840C2C2×#354611yescharacteristic
1841C2#6283011yescharacteristic
1842C2#6291211yescharacteristic
1843C2#6295111yescharacteristic
1844C2#6295711yescharacteristic
1845C2#6301511yescharacteristic
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. #59420C2semidirect
2. #59314C2semidirect
3. #59244C2semidirect
4. #56377C2semidirect
5. #54864C2semidirect
6. #54152C2semidirect
7. #53018C2semidirect
8. #52979C2semidirect
9. #48406C2semidirect
10. #46042C2semidirect
11. #45598C2semidirect
12. #45352C2semidirect
13. #45112C2semidirect
14. #42928C2semidirect
15. #42618C2semidirect
16. #42606C2semidirect
17. #42486C2semidirect
18. #40056C2semidirect
19. #39726C2semidirect
20. #39194C2semidirect
21. #39137C2semidirect
22. #39120C2semidirect
23. #38957C2semidirect
24. #38910C2semidirect
25. #37664C2semidirect
26. #37620C2semidirect
27. #37355C2semidirect
28. #37285C2semidirect
29. #36555C2semidirect
30. #36182C2semidirect
31. D4×#121C2semidirect
32. #35198C2semidirect
33. #35172C2semidirect
34. #34919C2semidirect
35. #34700C2semidirect
36. C2×#559C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
39. C2×#553C22semidirect
42. C2×#542C22semidirect
43. C2×#533C22semidirect
44. C2×#529C22semidirect
45. C2×#529C22semidirect
48. #2864C22semidirect
49. #2860C22semidirect
50. #2859C22semidirect
51. #2858C22semidirect
53. #2856C22semidirect
54. #2848C22semidirect
55. #2848C22semidirect
57. #2842C22semidirect
58. #2830C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2827C22semidirect
62. #2824C22semidirect
63. #2823C22semidirect
64. #2823C22semidirect
65. #2801C22semidirect
66. #2800C22semidirect
67. #2795C22semidirect
68. #2786C22semidirect
69. #2781C22semidirect
70. #2781C22semidirect
71. #2780C22semidirect
72. #2778C22semidirect
73. #2765C22semidirect
74. #2761C22semidirect
75. #2750C22semidirect
76. #2748C22semidirect
77. #2746C22semidirect
78. #2735C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2721C22semidirect
82. #2720C22semidirect
83. #2715C22semidirect
84. #2711C22semidirect
85. #2711C22semidirect
86. #2707C22semidirect
87. #2705C22semidirect
88. #2701C22semidirect
89. #2700C22semidirect
90. #2697C22semidirect
91. #2697C22semidirect
92. #2695C22semidirect
93. #2694C22semidirect
94. #2692C22semidirect
95. #2691C22semidirect
96. #2691C22semidirect
97. #2691C22semidirect
98. #2686C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2685C22semidirect
105. #2684C22semidirect
106. #2682C22semidirect
107. #2681C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2672C22semidirect
113. #2668C22semidirect
114. #2662C22semidirect
115. #2653C22semidirect
116. #2637C22semidirect
117. #2636C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2626C22semidirect
121. #2626C22semidirect
122. #2626C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
129. #2618C22semidirect
130. #2592C22semidirect
131. #2587C22semidirect
132. #2582C22semidirect
134. #2580C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2563C22semidirect
138. #2560C22semidirect
139. #2558C22semidirect
140. #2551C22semidirect
141. #2550C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
147. #2542C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
160. #2537C22semidirect
161. #2536C22semidirect
162. #2534C22semidirect
163. #2522C22semidirect
164. #2519C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2506C22semidirect
169. #2504C22semidirect
170. #2500C22semidirect
171. #2500C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
174. #2494C22semidirect
175. #2494C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
181. #2489C22semidirect
182. #2487C22semidirect
183. #2485C22semidirect
184. #2480C22semidirect
185. #2480C22semidirect
186. #2469C22semidirect
187. #2468C22semidirect
188. #2467C22semidirect
189. #2461C22semidirect
190. #2461C22semidirect
191. #2457C22semidirect
192. #2456C22semidirect
195. #2454C22semidirect
196. #2453C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2449C22semidirect
200. #2447C22semidirect
201. #2445C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
207. #2437C22semidirect
210. #2435C22semidirect
211. #2435C22semidirect
212. #2435C22semidirect
213. #2435C22semidirect
214. #2429C22semidirect
216. #2428C22semidirect
218. #2427C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
227. #2426C22semidirect
229. #2424C22semidirect
230. #2423C22semidirect
231. #2423C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
238. #2418C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2414C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2405C22semidirect
256. #2396C22semidirect
257. #2395C22semidirect
258. #2392C22semidirect
259. #2392C22semidirect
260. #2377C22semidirect
261. #2365C22semidirect
263. #2361C22semidirect
264. #2361C22semidirect
265. #2360C22semidirect
266. #2354C22semidirect
267. Q8×C4⋊C4C22semidirect
268. Q8×C4⋊C4C22semidirect
270. #2345C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. #2323C22semidirect
278. #2321C22semidirect
279. #2317C22semidirect
282. C4×#127C22semidirect
285. C4×#124C22semidirect
286. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
291. C4×#120C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. #2280C22semidirect
297. 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
#594202
#593142
#592442
#563772
#548642
#541522
#530182
#529792
#484062
#460422
#455982
#453522
#451122
#429282
#426182
#426062
#424862
#400562
#397262
#391942
#391372
#391202
#389572
#389102
#376642
#376202
#373552
#372852
#365552
#361822
D4×#1212
#351982
#351722
#349192
#347002