Finite Group Databasebeta

← #7686307

Subgroups — #7686307

Order 512.

5309 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59863C211yesmaximal, characteristic, complemented
3#59717C212yesmaximal, complemented
4#59703C214yesmaximal, complemented
5#59427C211yesmaximal, characteristic, complemented
6#59426C211yesmaximal, characteristic, complemented
7#59424C212yesmaximal, complemented
8#59148C212yesmaximal, complemented
9#45029C212yesmaximal, complemented
10#44911C212yesmaximal, complemented
11#43965C214yesmaximal, complemented
12#43225C214yesmaximal, complemented
13#39515C211yesmaximal, characteristic, complemented
14#39511C212yesmaximal, complemented
15#39297C212yesmaximal, complemented
16#39289C214yesmaximal, complemented
17#38985C211yesmaximal, characteristic, complemented
18#38983C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36579C212yesmaximal, complemented
21#36289C211yesmaximal, characteristic
22#36276C211yesmaximal, characteristic, complemented
23#36271C211yesmaximal, characteristic, complemented
24#36255C212yesmaximal, complemented
25#36240C212yesmaximal, complemented
26D4×#124C211yesmaximal, characteristic
27#35873C212yesmaximal, complemented
28#35702C212yesmaximal, complemented
29#34902C211yesmaximal, characteristic, complemented
30C2×#2592C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic
33#34261C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#554C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C22×#124C2212yes—
42C2×#518C2212yes—
43C22×C4×Q8C2212yescomplemented
44#2862C2211yescharacteristic, complemented
45#2860C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2857C2212yescomplemented
49#2852C2214yescomplemented
50#2850C2212yes—
51#2850C2212yes—
52#2808C2214yescomplemented
53#2808C2214yescomplemented
54#2800C2214yescomplemented
55#2800C2214yescomplemented
56#2798C2214yescomplemented
57#2798C2214yescomplemented
58#2788C2214yescomplemented
59#2786C2214yescomplemented
60#2783C2214yescomplemented
61#2775C2214yescomplemented
62#2759C2214yescomplemented
63#2759C2214yescomplemented
64#2759C2214yescomplemented
65#2759C2214yescomplemented
66#2745C2214yescomplemented
67#2740C2214yescomplemented
68#2727C2214yescomplemented
69#2715C2214yescomplemented
70#2715C2214yescomplemented
71#2700C2214yescomplemented
72#2700C2214yescomplemented
73#2644C2212yescomplemented
74#2643C2214yescomplemented
75#2628C2212yescomplemented
76#2626C2214yescomplemented
77#2601C2214yescomplemented
78#2601C2214yescomplemented
79#2596C2212yescomplemented
80#2594C2212yescomplemented
81#2594C2214yescomplemented
82#2592C2212yes—
83#2592C2212yes—
84#2592C2211yescharacteristic
85#2592C2212yes—
86#2592C2212yescomplemented
87#2592C2212yescomplemented
88#2592C2214yescomplemented
89#2592C2212yescomplemented
90#2592C2214yescomplemented
91#2592C2214yescomplemented
92#2592C2212yescomplemented
93#2592C2212yescomplemented
94#2592C2214yescomplemented
95#2592C2212yescomplemented
96#2581C2211yescharacteristic, complemented
97#2581C2212yescomplemented
98#2580C2212yescomplemented
99#2577C2214yescomplemented
100#2570C2211yescharacteristic, complemented
101#2568C2212yescomplemented
102#2567C2211yescharacteristic, complemented
103#2564C2214yescomplemented
104#2563C2211yescharacteristic
105#2563C2212yescomplemented
106#2560C2214yescomplemented
107#2560C2214yescomplemented
108#2550C2212yescomplemented
109#2550C2212yescomplemented
110#2549C2214yescomplemented
111#2549C2214yescomplemented
112#2548C2211yescharacteristic
113#2548C2211yescharacteristic
114#2547C2211yescharacteristic
115#2547C2212yescomplemented
116#2546C2211yescharacteristic, complemented
117#2545C2211yescharacteristic
118#2545C2212yes—
119#2545C2212yescomplemented
120#2538C2212yescomplemented
121#2532C2214yescomplemented
122#2532C2214yescomplemented
123#2527C2214yescomplemented
124#2525C2212yescomplemented
125#2523C2214yescomplemented
126#2521C2214yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2514C2211yescharacteristic, complemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2212yescomplemented
133#2513C2212yescomplemented
134#2512C2211yescharacteristic
135#2512C2212yes—
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2510C2214yescomplemented
140#2510C2214yescomplemented
141#2510C2214yescomplemented
142#2510C2214yescomplemented
143#2504C2212yes—
144#2502C2212yescomplemented
145#2497C2212yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2212yescomplemented
149#2494C2212yescomplemented
150#2494C2212yescomplemented
151#2491C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2485C2214yescomplemented
156#2481C2214yescomplemented
157#2481C2214yescomplemented
158#2480C2214yescomplemented
159#2480C2214yescomplemented
160#2480C2214yescomplemented
161#2480C2214yescomplemented
162#2480C2214yescomplemented
163#2480C2214yescomplemented
164#2478C2214yescomplemented
165#2474C2214yescomplemented
166#2472C2214yes—
167#2472C2214yes—
168#2472C2214yes—
169#2472C2214yes—
170#2469C2214yescomplemented
171#2469C2212yescomplemented
172#2469C2214yescomplemented
173#2469C2214yescomplemented
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2450C2214yescomplemented
177#2450C2214yescomplemented
178#2448C2212yes—
179#2448C2211yescharacteristic
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2446C2211yescharacteristic, complemented
186#2439C2212yescomplemented
187#2439C2212yescomplemented
188#2437C2214yescomplemented
189#2437C2214yescomplemented
190#2436C2212yes—
191#2435C2212yes—
192#2435C2212yes—
193#2434C2212yescomplemented
194#2421C2214yescomplemented
195#2409C2214yescomplemented
196#2401C2212yescomplemented
197#2396C2212yescomplemented
198C2×#397C2214yescomplemented
199C2×#393C2214yescomplemented
200#2370C2212yescomplemented
201#2369C2212yescomplemented
202#2369C2211yescharacteristic, complemented
203#2368C2214yescomplemented
204#2368C2214yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic, complemented
210#2365C2211yescharacteristic, complemented
211#2365C2211yescharacteristic, complemented
212#2365C2211yescharacteristic, complemented
213#2363C2212yes—
214#2362C2214yescomplemented
215#2361C2212yes—
216#2360C2212yescomplemented
217#2360C2212yescomplemented
218#2360C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2212yescomplemented
221#2358C2214yes—
222#2357C2212yescomplemented
223#2356C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2355C2212yescomplemented
226#2355C2211yescharacteristic, complemented
227#2354C2211yescharacteristic
228#2354C2212yescomplemented
229#2354C2212yescomplemented
230#2353C2214yescomplemented
231#2352C2214yescomplemented
232Q8×C4⋊C4C2211yescharacteristic, complemented
233#2349C2212yes—
234#2349C2212yes—
235#2349C2212yes—
236#2349C2212yes—
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2212yescomplemented
242#2346C2212yescomplemented
243#2345C2212yescomplemented
244#2342C2214yescomplemented
245#2342C2214yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247Q8×C22⋊C4C2212yescomplemented
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2331C2212yescomplemented
255#2329C2214yescomplemented
256#2324C2212yes—
257#2321C2214yes—
258#2319C2212yescomplemented
259#2318C2214yescomplemented
260#2314C2212yescomplemented
261#2312C2214yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#127C2211yescharacteristic
269C4×#125C2212yescomplemented
270C4×#126C2212yescomplemented
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2214yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yes—
280#2298C2212yescomplemented
281#2295C2211yescharacteristic, complemented
282C2×#391C2212yescomplemented
283C2×#391C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2212yescomplemented
286C2×#390C2212yes—
287C2×#390C2212yes—
288#2290C2214yescomplemented
289C2×#388C2214yescomplemented
290C2×#388C2214yescomplemented
291#2275C2212yes—
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yescomplemented
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#556—48no—
304#554—28no—
305D4×Q8—28no—
306D4×Q8—28no—
307D42—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#124—48no—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347#518—216no—
348C2×C4×Q8—48no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C42C2312yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403C22×C42C2314yes—
404#401C2314yes—
405#401C2312yes—
406#401C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
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#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#383C2312yes—
702#383C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2414yes—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—28no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868#127—24no—
869#126—48no—
870#126—44no—
871#126—48no—
872#126—84no—
873#126—84no—
874#125—28no—
875#124—24no—
876#124—28no—
877#124—48no—
878#124—48no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—42no—
883#124—44no—
884#124—44no—
885#124—82no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892C22⋊Q8—216no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895#121—28no—
896#121—28no—
897#120—216no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—82no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—216no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—82no—
931C4×D4#4118yes—
932C4×D4#4118yes—
933#117—28no—
934#117—28no—
935#117—48no—
936#117—84no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—216no—
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4—84no—
1015C2×C22⋊C4—84no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C42—28no—
1069C2×C42—44no—
1070C2×C42—44no—
1071C2×C42—84no—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24—28no—
1187C24—28no—
1188C24—28no—
1189C24—44no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2512yes—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—28no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—44no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—432no—
1224C2×Q8—816no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—432no—
1244C2×D4—816no—
1245C2×D4C2×#4114yes—
1246C2×D4C2×#4114yes—
1247C2×D42−1+414yes—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2×#4118yes—
1286C22×C4C2×#4118yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4C2×#4114yes—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4C2×#4118yes—
1437C22⋊C4C2×#4118yes—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—41no—
1470C42—41no—
1471C42—41no—
1472C42—44no—
1473C42—42no—
1474C42—41no—
1475C42—41no—
1476C42—42no—
1477C42C2×#4114yes—
1478C42C2×#4114yes—
1479C42H(5,𝔽2)14yes—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—416no—
1499C23—88no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—88no—
1505C23C22×#4114yes—
1506C23C22×#4114yes—
1507C23C2×2−1+414yes—
1508C23C2611yescharacteristic
1509Q8—28no—
1510Q8—48no—
1511Q8—48no—
1512Q8—48no—
1513Q8—44no—
1514Q8—48no—
1515Q8—44no—
1516Q8—84no—
1517Q8—88no—
1518D4—416no—
1519D4—48no—
1520D4—48no—
1521D4—44no—
1522D4—84no—
1523D4—88no—
1524D4#556116yescomplemented
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—216no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—48no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4—88no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—88no—
1620C2×C4C22×#4114yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4114yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4#58512yes—
1633C2×C4#58512yes—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—44no—
1641C22—44no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—1616no—
1655C22C2×#55618yes—
1656C22C23×#4111yescharacteristic
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22H(7,𝔽2)11yescharacteristic
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—24no—
1669C4—24no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4—44no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—41no—
1692C4—42no—
1693C4C2×#55614yes—
1694C4#351414yes—
1695C2—28no—
1696C2—84no—
1697C2—82no—
1698C2C22×#55611yescharacteristic
1699C2#6277311yescharacteristic
1700C2C2×#351411yescharacteristic
1701C2#6294411yescharacteristic
1702C2#6301011yescharacteristic
1703C2#6301011yescharacteristic
1704C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59874C2semidirect
2. #59863C2semidirect
3. #59717C2semidirect
4. #59703C2semidirect
5. #59427C2semidirect
6. #59426C2semidirect
7. #59424C2semidirect
8. #59148C2semidirect
9. #45029C2semidirect
10. #44911C2semidirect
11. #43965C2semidirect
12. #43225C2semidirect
13. #39515C2semidirect
14. #39511C2semidirect
15. #39297C2semidirect
16. #39289C2semidirect
17. #38985C2semidirect
18. #38983C2semidirect
19. #36609C2semidirect
20. #36579C2semidirect
22. #36276C2semidirect
23. #36271C2semidirect
24. #36255C2semidirect
25. #36240C2semidirect
27. #35873C2semidirect
28. #35702C2semidirect
29. #34902C2semidirect
30. C2×#2592C2semidirect
31. #34334C2semidirect
33. #34261C2semidirect
34. C4×#554C2semidirect
35. C4×D4×Q8C2semidirect
36. C2×#556C22semidirect
43. C22×C4×Q8C22semidirect
44. #2862C22semidirect
45. #2860C22semidirect
48. #2857C22semidirect
49. #2852C22semidirect
52. #2808C22semidirect
53. #2808C22semidirect
54. #2800C22semidirect
55. #2800C22semidirect
56. #2798C22semidirect
57. #2798C22semidirect
58. #2788C22semidirect
59. #2786C22semidirect
60. #2783C22semidirect
61. #2775C22semidirect
62. #2759C22semidirect
63. #2759C22semidirect
64. #2759C22semidirect
65. #2759C22semidirect
66. #2745C22semidirect
67. #2740C22semidirect
68. #2727C22semidirect
69. #2715C22semidirect
70. #2715C22semidirect
71. #2700C22semidirect
72. #2700C22semidirect
73. #2644C22semidirect
74. #2643C22semidirect
75. #2628C22semidirect
76. #2626C22semidirect
77. #2601C22semidirect
78. #2601C22semidirect
79. #2596C22semidirect
80. #2594C22semidirect
81. #2594C22semidirect
86. #2592C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2592C22semidirect
90. #2592C22semidirect
91. #2592C22semidirect
92. #2592C22semidirect
93. #2592C22semidirect
94. #2592C22semidirect
95. #2592C22semidirect
96. #2581C22semidirect
97. #2581C22semidirect
98. #2580C22semidirect
99. #2577C22semidirect
100. #2570C22semidirect
101. #2568C22semidirect
102. #2567C22semidirect
103. #2564C22semidirect
105. #2563C22semidirect
106. #2560C22semidirect
107. #2560C22semidirect
108. #2550C22semidirect
109. #2550C22semidirect
110. #2549C22semidirect
111. #2549C22semidirect
115. #2547C22semidirect
116. #2546C22semidirect
119. #2545C22semidirect
120. #2538C22semidirect
121. #2532C22semidirect
122. #2532C22semidirect
123. #2527C22semidirect
124. #2525C22semidirect
125. #2523C22semidirect
126. #2521C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2510C22semidirect
140. #2510C22semidirect
141. #2510C22semidirect
142. #2510C22semidirect
144. #2502C22semidirect
145. #2497C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
155. #2485C22semidirect
156. #2481C22semidirect
157. #2481C22semidirect
158. #2480C22semidirect
159. #2480C22semidirect
160. #2480C22semidirect
161. #2480C22semidirect
162. #2480C22semidirect
163. #2480C22semidirect
164. #2478C22semidirect
165. #2474C22semidirect
170. #2469C22semidirect
171. #2469C22semidirect
172. #2469C22semidirect
173. #2469C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2450C22semidirect
177. #2450C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2446C22semidirect
186. #2439C22semidirect
187. #2439C22semidirect
188. #2437C22semidirect
189. #2437C22semidirect
193. #2434C22semidirect
194. #2421C22semidirect
195. #2409C22semidirect
196. #2401C22semidirect
197. #2396C22semidirect
198. C2×#397C22semidirect
199. C2×#393C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
202. #2369C22semidirect
203. #2368C22semidirect
204. #2368C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
209. #2365C22semidirect
210. #2365C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
214. #2362C22semidirect
216. #2360C22semidirect
217. #2360C22semidirect
218. #2360C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
222. #2357C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
228. #2354C22semidirect
229. #2354C22semidirect
230. #2353C22semidirect
231. #2352C22semidirect
232. Q8×C4⋊C4C22semidirect
241. #2347C22semidirect
242. #2346C22semidirect
243. #2345C22semidirect
244. #2342C22semidirect
245. #2342C22semidirect
246. Q8×C22⋊C4C22semidirect
247. Q8×C22⋊C4C22semidirect
254. #2331C22semidirect
255. #2329C22semidirect
258. #2319C22semidirect
259. #2318C22semidirect
260. #2314C22semidirect
261. #2312C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×#126C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
280. #2298C22semidirect
281. #2295C22semidirect
282. C2×#391C22semidirect
283. C2×#391C22semidirect
285. #2293C22semidirect
288. #2290C22semidirect
289. C2×#388C22semidirect
290. C2×#388C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1524. D4#556semidirect

Maximal subgroups

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

subgroupindex
#598742
#598632
#597172
#597032
#594272
#594262
#594242
#591482
#450292
#449112
#439652
#432252
#395152
#395112
#392972
#392892
#389852
#389832
#366092
#365792
#362892
#362762
#362712
#362552
#362402
D4×#1242
#358732
#357022
#349022
C2×#25922
#343342
#343102
#342612
C4×#5542
C4×D4×Q82