Finite Group Databasebeta

← #7690620

Subgroups — #7690620

Order 512.

5673 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59647C211yesmaximal, characteristic, complemented
4#59549C212yesmaximal, complemented
5#59437C211yesmaximal, characteristic, complemented
6#59396C212yesmaximal, complemented
7#59351C214yesmaximal, complemented
8#59076C212yesmaximal, complemented
9#45097C212yesmaximal, complemented
10#44961C212yesmaximal, complemented
11#43782C214yesmaximal, complemented
12#43431C214yesmaximal, complemented
13#40412C214yesmaximal, complemented
14#40169C212yesmaximal, complemented
15#40056C212yesmaximal, complemented
16#39816C212yesmaximal, complemented
17#39362C211yesmaximal, characteristic
18#38957C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36528C212yesmaximal, complemented
21#36454C211yesmaximal, characteristic, complemented
22#36406C211yesmaximal, characteristic, complemented
23#36305C212yesmaximal, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36161C212yesmaximal, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35838C212yesmaximal, complemented
28#35787C212yesmaximal, complemented
29#34893C211yesmaximal, characteristic, complemented
30#34700C212yesmaximal, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34265C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#556C2212yescomplemented
39C2×#554C2212yescomplemented
40C2×#547C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C2×#535C2212yes—
43C2×#529C2212yescomplemented
44C2×#520C2212yescomplemented
45C22×C4×D4C2212yes—
46C22×C4×D4C2212yes—
47#2862C2211yescharacteristic, complemented
48#2860C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2212yescomplemented
52#2855C2212yescomplemented
53#2850C2212yescomplemented
54#2848C2214yescomplemented
55#2797C2214yescomplemented
56#2787C2214yescomplemented
57#2783C2214yescomplemented
58#2781C2214yescomplemented
59#2779C2214yescomplemented
60#2778C2214yescomplemented
61#2761C2214yescomplemented
62#2749C2214yescomplemented
63#2735C2214yescomplemented
64#2735C2214yescomplemented
65#2732C2214yescomplemented
66#2725C2214yescomplemented
67#2723C2214yescomplemented
68#2701C2214yescomplemented
69#2697C2214yescomplemented
70#2686C2214yescomplemented
71#2685C2214yes—
72#2685C2214yes—
73#2684C2214yescomplemented
74#2678C2214yes—
75#2678C2214yes—
76#2653C2214yescomplemented
77#2636C2214yescomplemented
78#2620C2212yes—
79#2620C2212yes—
80#2609C2214yescomplemented
81#2608C2214yescomplemented
82#2601C2214yescomplemented
83#2601C2214yescomplemented
84#2600C2214yescomplemented
85#2594C2214yescomplemented
86#2592C2212yescomplemented
87#2592C2212yescomplemented
88#2592C2212yescomplemented
89#2589C2212yescomplemented
90#2587C2212yescomplemented
91#2587C2214yescomplemented
92#2584C2211yescharacteristic, complemented
93#2580C2211yescharacteristic
94#2580C2212yescomplemented
95#2577C2214yescomplemented
96#2576C2214yescomplemented
97#2575C2214yescomplemented
98#2574C2214yescomplemented
99#2566C2211yescharacteristic
100#2561C2214yescomplemented
101#2560C2214yescomplemented
102#2553C2214yescomplemented
103#2553C2214yescomplemented
104#2552C2212yescomplemented
105#2550C2211yescharacteristic, complemented
106#2548C2211yescharacteristic
107#2547C2212yes—
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic, complemented
110#2545C2212yescomplemented
111#2544C2212yescomplemented
112#2542C2211yescharacteristic
113#2542C2211yescharacteristic, complemented
114#2541C2211yescharacteristic
115#2538C2212yes—
116#2538C2212yescomplemented
117#2538C2212yescomplemented
118#2534C2214yescomplemented
119#2531C2214yescomplemented
120#2526C2214yescomplemented
121#2526C2214yescomplemented
122#2525C2214yescomplemented
123#2522C2212yescomplemented
124#2518C2214yescomplemented
125#2517C2214yescomplemented
126#2514C2212yescomplemented
127#2513C2212yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2512C2212yescomplemented
131#2512C2212yescomplemented
132#2511C2212yescomplemented
133#2509C2211yescharacteristic, complemented
134#2507C2211yescharacteristic, complemented
135#2504C2212yescomplemented
136#2500C2212yes—
137#2499C2212yescomplemented
138#2495C2212yescomplemented
139#2494C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2488C2214yescomplemented
143#2485C2214yescomplemented
144#2481C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2480C2214yescomplemented
148#2475C2214yescomplemented
149#2471C2214yescomplemented
150#2468C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2466C2214yescomplemented
154#2466C2214yescomplemented
155#2465C2212yescomplemented
156#2463C2214yescomplemented
157#2463C2214yescomplemented
158#2460C2214yescomplemented
159#2460C2214yescomplemented
160#2457C2214yescomplemented
161#2454C2211yescharacteristic
162#2454C2214yescomplemented
163#2452C2211yescharacteristic
164#2452C2212yescomplemented
165#2449C2214yescomplemented
166#2448C2212yescomplemented
167#2448C2212yescomplemented
168#2447C2212yes—
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2447C2212yescomplemented
172#2446C2212yescomplemented
173#2445C2212yescomplemented
174#2444C2214yescomplemented
175#2442C2212yescomplemented
176#2435C2212yes—
177#2435C2212yes—
178#2435C2212yes—
179#2435C2212yes—
180#2432C2212yescomplemented
181#2431C2212yes—
182#2427C2212yes—
183#2427C2212yes—
184#2427C2212yescomplemented
185#2426C2212yes—
186#2426C2212yes—
187#2426C2212yescomplemented
188#2425C2214yescomplemented
189#2421C2212yescomplemented
190#2420C2212yescomplemented
191#2418C2214yescomplemented
192#2417C2212yescomplemented
193#2417C2212yescomplemented
194#2416C2212yes—
195#2416C2212yes—
196#2415C2214yescomplemented
197#2408C2212yes—
198#2408C2212yes—
199#2396C2212yescomplemented
200#2396C2212yescomplemented
201#2395C2214yescomplemented
202#2392C2214yescomplemented
203#2374C2212yescomplemented
204#2374C2212yescomplemented
205#2373C2214yescomplemented
206#2367C2212yes—
207#2367C2212yes—
208#2367C2211yescharacteristic
209#2367C2212yes—
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2367C2211yescharacteristic, complemented
213#2367C2212yescomplemented
214#2367C2212yescomplemented
215#2366C2211yescharacteristic
216#2366C2212yes—
217#2366C2211yescharacteristic
218#2366C2212yescomplemented
219#2366C2212yescomplemented
220#2365C2211yescharacteristic, complemented
221#2365C2211yescharacteristic, complemented
222#2363C2214yescomplemented
223#2363C2214yescomplemented
224#2361C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2361C2214yescomplemented
228#2361C2212yescomplemented
229#2361C2214yescomplemented
230#2360C2212yescomplemented
231#2360C2212yescomplemented
232#2360C2212yescomplemented
233#2360C2212yescomplemented
234#2359C2214yescomplemented
235#2358C2214yes—
236#2357C2211yescharacteristic
237#2357C2212yescomplemented
238#2357C2212yescomplemented
239#2357C2211yescharacteristic, complemented
240#2355C2211yescharacteristic, complemented
241#2355C2212yescomplemented
242#2355C2211yescharacteristic, complemented
243#2355C2211yescharacteristic, complemented
244#2354C2212yescomplemented
245#2353C2214yescomplemented
246#2351C2212yescomplemented
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic, complemented
250#2346C2212yescomplemented
251#2345C2212yescomplemented
252#2344C2212yescomplemented
253#2339C2212yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2334C2214yescomplemented
257#2323C2212yescomplemented
258#2323C2212yescomplemented
259#2322C2214yescomplemented
260#2321C2214yescomplemented
261#2321C2214yescomplemented
262#2309C2212yes—
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#125C2211yescharacteristic, complemented
269C4×#125C2211yescharacteristic, complemented
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yescomplemented
273C4×#124C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#120C2214yes—
282C4×#120C2214yescomplemented
283C4×#120C2214yescomplemented
284#2297C2212yescomplemented
285#2296C2212yescomplemented
286#2295C2212yescomplemented
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290C2×#389C2212yescomplemented
291#2280C2214yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C24×C4C2314yes—
303#559—28no—
304#556—28no—
305#556—48no—
306#554—48no—
307#547—28no—
308D42—28no—
309#535—216no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317#529—48no—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359#520—48no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×D4—48no—
373C2×C4×D4—48no—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C42C2312yes—
418C22×C42C2312yes—
419C22×C42C2312yes—
420#401C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2312yes—
473#395C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2312yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#383C2314yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2314yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C23×C4—48no—
850C23×C4—48no—
851C23×C4—48no—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871#127—28no—
872#127—24no—
873#127#4118yes—
874#126—216no—
875#126—48no—
876#126—48no—
877#126—48no—
878#125—24no—
879#125—42no—
880#125—48no—
881#124—28no—
882#124—28no—
883#124—24no—
884#124—24no—
885#124—28no—
886#124—28no—
887#124—44no—
888#124—44no—
889#124—44no—
890#124—44no—
891#123—28no—
892#123—28no—
893#123—216no—
894#123—48no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—48no—
905#121—216no—
906#121—216no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—44no—
911#121—44no—
912#120—216no—
913#120—216no—
914#120—216no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×Q8—42no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4#4118yes—
957#117—28no—
958#117—28no—
959#117—44no—
960#117—48no—
961#117—48no—
962#117—48no—
963C2×C4⋊C4—28no—
964C2×C4⋊C4—28no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—48no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—48no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—44no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—28no—
1203C24—28no—
1204C24—44no—
1205C24—44no—
1206C24—44no—
1207C24—44no—
1208C24—44no—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2512yes—
1212C24C2512yes—
1213#41—432no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—41no—
1226C2×Q8—41no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—432no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—432no—
1265C2×D4C2×#4114yes—
1266C2×D4C2×#4114yes—
1267C2×D4C2×#4114yes—
1268C2×D4C2×#4118yes—
1269C2×D4C2×#4118yes—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—832no—
1315C22×C4C2×#4118yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—28no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4C2×#4114yes—
1410C4⋊C4H(5,𝔽2)14yes—
1411C4⋊C4H(5,𝔽2)14yes—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4C2×#4118yes—
1474C42—28no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—28no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—42no—
1501C42—41no—
1502C42—41no—
1503C42—41no—
1504C42—42no—
1505C42—44no—
1506C42—44no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—41no—
1511C42—41no—
1512C42C2×#4114yes—
1513C42C2×#4114yes—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—416no—
1540C23—416no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23C22×#4114yes—
1547C23C22×#4114yes—
1548C23C22×#4114yes—
1549C23C2611yescharacteristic
1550Q8—44no—
1551Q8—44no—
1552Q8—48no—
1553Q8—48no—
1554Q8—84no—
1555D4—28no—
1556D4—28no—
1557D4—28no—
1558D4—48no—
1559D4—48no—
1560D4—416no—
1561D4—416no—
1562D4—416no—
1563D4—48no—
1564D4—48no—
1565D4—84no—
1566D4—88no—
1567D4—88no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—216no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—416no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—416no—
1653C2×C4—48no—
1654C2×C4—48no—
1655C2×C4—84no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—164no—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C2×H(5,𝔽2)14yes—
1671C2×C4C2×H(5,𝔽2)14yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C22—24no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—44no—
1699C22—44no—
1700C22—44no—
1701C22—44no—
1702C22—44no—
1703C22—44no—
1704C22—832no—
1705C22C23×#4111yescharacteristic
1706C22C23×#4111yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C222−1+611yescharacteristic
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—24no—
1716C4—24no—
1717C4—22no—
1718C4—24no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—44no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4—41no—
1733C4—41no—
1734C4—42no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4#348114yes—
1742C4#350614yes—
1743C2—44no—
1744C2—44no—
1745C2—44no—
1746C2—84no—
1747C2C2×#348111yescharacteristic
1748C2C2×#350611yescharacteristic
1749C2#6278111yescharacteristic
1750C2#6292211yescharacteristic
1751C2#6298411yescharacteristic
1752C2#6299511yescharacteristic
1753C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39362C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59953C2semidirect
2. #59823C2semidirect
3. #59647C2semidirect
4. #59549C2semidirect
5. #59437C2semidirect
6. #59396C2semidirect
7. #59351C2semidirect
8. #59076C2semidirect
9. #45097C2semidirect
10. #44961C2semidirect
11. #43782C2semidirect
12. #43431C2semidirect
13. #40412C2semidirect
14. #40169C2semidirect
15. #40056C2semidirect
16. #39816C2semidirect
18. #38957C2semidirect
19. #36609C2semidirect
20. #36528C2semidirect
21. #36454C2semidirect
22. #36406C2semidirect
23. #36305C2semidirect
24. #36271C2semidirect
25. #36161C2semidirect
26. #36115C2semidirect
27. #35838C2semidirect
28. #35787C2semidirect
29. #34893C2semidirect
30. #34700C2semidirect
31. #34322C2semidirect
32. #34308C2semidirect
33. #34265C2semidirect
34. C4×#559C2semidirect
35. C4×D42C2semidirect
38. C2×#556C22semidirect
39. C2×#554C22semidirect
43. C2×#529C22semidirect
44. C2×#520C22semidirect
47. #2862C22semidirect
48. #2860C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2850C22semidirect
54. #2848C22semidirect
55. #2797C22semidirect
56. #2787C22semidirect
57. #2783C22semidirect
58. #2781C22semidirect
59. #2779C22semidirect
60. #2778C22semidirect
61. #2761C22semidirect
62. #2749C22semidirect
63. #2735C22semidirect
64. #2735C22semidirect
65. #2732C22semidirect
66. #2725C22semidirect
67. #2723C22semidirect
68. #2701C22semidirect
69. #2697C22semidirect
70. #2686C22semidirect
73. #2684C22semidirect
76. #2653C22semidirect
77. #2636C22semidirect
80. #2609C22semidirect
81. #2608C22semidirect
82. #2601C22semidirect
83. #2601C22semidirect
84. #2600C22semidirect
85. #2594C22semidirect
86. #2592C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2589C22semidirect
90. #2587C22semidirect
91. #2587C22semidirect
92. #2584C22semidirect
94. #2580C22semidirect
95. #2577C22semidirect
96. #2576C22semidirect
97. #2575C22semidirect
98. #2574C22semidirect
100. #2561C22semidirect
101. #2560C22semidirect
102. #2553C22semidirect
103. #2553C22semidirect
104. #2552C22semidirect
105. #2550C22semidirect
109. #2546C22semidirect
110. #2545C22semidirect
111. #2544C22semidirect
113. #2542C22semidirect
116. #2538C22semidirect
117. #2538C22semidirect
118. #2534C22semidirect
119. #2531C22semidirect
120. #2526C22semidirect
121. #2526C22semidirect
122. #2525C22semidirect
123. #2522C22semidirect
124. #2518C22semidirect
125. #2517C22semidirect
126. #2514C22semidirect
127. #2513C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2512C22semidirect
131. #2512C22semidirect
132. #2511C22semidirect
133. #2509C22semidirect
134. #2507C22semidirect
135. #2504C22semidirect
137. #2499C22semidirect
138. #2495C22semidirect
139. #2494C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
142. #2488C22semidirect
143. #2485C22semidirect
144. #2481C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2480C22semidirect
148. #2475C22semidirect
149. #2471C22semidirect
150. #2468C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
153. #2466C22semidirect
154. #2466C22semidirect
155. #2465C22semidirect
156. #2463C22semidirect
157. #2463C22semidirect
158. #2460C22semidirect
159. #2460C22semidirect
160. #2457C22semidirect
162. #2454C22semidirect
164. #2452C22semidirect
165. #2449C22semidirect
166. #2448C22semidirect
167. #2448C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2447C22semidirect
172. #2446C22semidirect
173. #2445C22semidirect
174. #2444C22semidirect
175. #2442C22semidirect
180. #2432C22semidirect
184. #2427C22semidirect
187. #2426C22semidirect
188. #2425C22semidirect
189. #2421C22semidirect
190. #2420C22semidirect
191. #2418C22semidirect
192. #2417C22semidirect
193. #2417C22semidirect
196. #2415C22semidirect
199. #2396C22semidirect
200. #2396C22semidirect
201. #2395C22semidirect
202. #2392C22semidirect
203. #2374C22semidirect
204. #2374C22semidirect
205. #2373C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
214. #2367C22semidirect
218. #2366C22semidirect
219. #2366C22semidirect
220. #2365C22semidirect
221. #2365C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
227. #2361C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
232. #2360C22semidirect
233. #2360C22semidirect
234. #2359C22semidirect
237. #2357C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
240. #2355C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2353C22semidirect
246. #2351C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2346C22semidirect
251. #2345C22semidirect
252. #2344C22semidirect
253. #2339C22semidirect
256. #2334C22semidirect
257. #2323C22semidirect
258. #2323C22semidirect
259. #2322C22semidirect
260. #2321C22semidirect
261. #2321C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×#125C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
282. C4×#120C22semidirect
283. C4×#120C22semidirect
284. #2297C22semidirect
285. #2296C22semidirect
286. #2295C22semidirect
289. #2293C22semidirect
290. C2×#389C22semidirect
291. #2280C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#599532
#598232
#596472
#595492
#594372
#593962
#593512
#590762
#450972
#449612
#437822
#434312
#404122
#401692
#400562
#398162
#393622
#389572
#366092
#365282
#364542
#364062
#363052
#362712
#361612
#361152
#358382
#357872
#348932
#347002
#343222
#343082
#342652
C4×#5592
C4×D422