Finite Group Databasebeta

← #7681119

Subgroups — #7681119

Order 512.

6965 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3503C211yesmaximal, characteristic, complemented
3#59656C212yesmaximal, complemented
4#59655C212yesmaximal, complemented
5#59651C214yesmaximal, complemented
6#59649C214yesmaximal, complemented
7#59586C212yesmaximal, complemented
8#59421C212yesmaximal, complemented
9#45338C212yesmaximal, complemented
10#45337C212yesmaximal, complemented
11#45300C212yesmaximal, complemented
12#45071C212yesmaximal, complemented
13#43532C214yesmaximal, complemented
14#43104C214yesmaximal, complemented
15#39427C212yesmaximal, complemented
16#39424C212yesmaximal, complemented
17#37759C212yesmaximal, complemented
18#37757C212yesmaximal, complemented
19#37709C212yesmaximal, complemented
20#37704C212yesmaximal, complemented
21#36142C212yesmaximal, complemented
22#36129C212yesmaximal, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35312C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31C2×#2492C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36#3503—216no—
37#3495—216no—
38C2×Q82C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#554C2214yes—
42C2×#554C2212yes—
43C2×#554C2212yescomplemented
44C2×#552C2214yes—
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#551C2214yes—
48C2×D4×Q8C2214yes—
49C2×D4×Q8C2212yescomplemented
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#544C2212yescomplemented
53C2×#544C2212yescomplemented
54C2×#542C2212yes—
55C2×#541C2212yes—
56C2×#537C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C22×C4⋊Q8C2211yescharacteristic
63C22×C4⋊Q8C2212yescomplemented
64C2×#529C2212yes—
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C22×C22⋊Q8C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×#117C2211yescharacteristic
74#2862C2212yescomplemented
75#2861C2212yescomplemented
76#2857C2212yes—
77#2857C2212yescomplemented
78#2851C2212yes—
79#2850C2212yescomplemented
80#2731C2214yes—
81#2731C2214yes—
82#2729C2214yes—
83#2729C2214yescomplemented
84#2728C2214yes—
85#2728C2214yescomplemented
86#2725C2214yescomplemented
87#2723C2214yes—
88#2719C2214yescomplemented
89#2719C2214yescomplemented
90#2716C2214yes—
91#2716C2214yescomplemented
92#2716C2214yescomplemented
93#2707C2214yes—
94#2702C2214yes—
95#2702C2214yes—
96#2702C2214yescomplemented
97#2696C2214yes—
98#2690C2214yescomplemented
99#2690C2214yescomplemented
100#2690C2214yescomplemented
101#2690C2214yescomplemented
102#2681C2214yes—
103#2674C2214yes—
104#2642C2212yescomplemented
105#2640C2212yescomplemented
106#2629C2212yes—
107#2628C2212yes—
108#2621C2212yescomplemented
109#2620C2212yescomplemented
110#2582C2212yescomplemented
111#2582C2212yescomplemented
112#2581C2212yescomplemented
113#2581C2212yescomplemented
114#2579C2214yes—
115#2560C2214yes—
116#2560C2214yescomplemented
117#2560C2214yescomplemented
118#2558C2214yes—
119#2550C2214yescomplemented
120#2550C2214yescomplemented
121#2538C2212yes—
122#2537C2212yes—
123#2536C2212yes—
124#2535C2212yes—
125#2534C2214yes—
126#2519C2214yes—
127#2492C2212yes—
128#2492C2212yes—
129#2492C2212yes—
130#2492C2212yes—
131#2492C2212yes—
132#2492C2211yescharacteristic
133#2492C2212yes—
134#2492C2212yes—
135#2492C2211yescharacteristic
136#2492C2212yes—
137#2492C2212yescomplemented
138#2492C2212yescomplemented
139#2491C2211yescharacteristic
140#2491C2211yescharacteristic
141#2490C2211yescharacteristic
142#2490C2211yescharacteristic
143#2489C2211yescharacteristic
144#2489C2211yescharacteristic
145#2489C2214yescomplemented
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2488C2214yes—
149#2488C2212yes—
150#2488C2212yes—
151#2488C2214yes—
152#2486C2214yes—
153#2481C2214yescomplemented
154#2477C2214yes—
155#2477C2214yescomplemented
156#2475C2214yes—
157#2475C2214yescomplemented
158#2472C2212yes—
159#2472C2212yes—
160#2469C2214yes—
161#2469C2214yes—
162#2469C2214yescomplemented
163#2463C2214yes—
164#2463C2214yes—
165#2461C2214yes—
166#2458C2214yes—
167#2453C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2214yescomplemented
170#2453C2214yescomplemented
171#2452C2214yes—
172#2452C2212yescomplemented
173#2452C2212yescomplemented
174#2451C2212yescomplemented
175#2451C2212yescomplemented
176#2451C2212yescomplemented
177#2451C2212yescomplemented
178#2446C2214yescomplemented
179#2446C2214yescomplemented
180#2443C2214yes—
181#2442C2212yes—
182#2442C2214yescomplemented
183#2441C2212yes—
184#2440C2212yes—
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2439C2212yes—
188#2439C2214yes—
189#2439C2212yescomplemented
190#2439C2212yescomplemented
191#2438C2214yes—
192#2438C2214yes—
193#2438C2214yes—
194#2437C2214yes—
195#2436C2214yes—
196#2429C2214yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2214yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2214yes—
207#2425C2214yes—
208#2425C2214yes—
209#2425C2214yes—
210#2424C2214yes—
211#2421C2214yescomplemented
212#2417C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2214yescomplemented
220#2414C2212yes—
221#2409C2214yes—
222#2409C2214yes—
223#2409C2214yescomplemented
224#2398C2212yes—
225#2398C2212yes—
226C2×#400C2212yes—
227C2×#393C2212yes—
228#2367C2214yes—
229#2363C2211yescharacteristic
230#2363C2211yescharacteristic
231#2363C2212yescomplemented
232#2363C2212yescomplemented
233#2362C2211yescharacteristic
234#2362C2211yescharacteristic
235#2362C2212yescomplemented
236#2362C2214yescomplemented
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2361C2211yescharacteristic
241#2361C2211yescharacteristic
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2360C2212yescomplemented
247#2360C2212yescomplemented
248#2360C2212yescomplemented
249#2360C2212yescomplemented
250#2359C2214yes—
251#2359C2212yes—
252#2359C2212yes—
253#2359C2214yes—
254#2358C2212yes—
255#2358C2212yes—
256#2352C2214yes—
257Q8×C22⋊C4C2214yescomplemented
258#2331C2212yescomplemented
259#2331C2212yescomplemented
260#2330C2212yescomplemented
261#2330C2212yescomplemented
262#2329C2214yes—
263#2327C2212yescomplemented
264#2326C2212yescomplemented
265#2325C2214yes—
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×C4⋊Q8C2212yescomplemented
274C4×C4⋊Q8C2212yescomplemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#125C2212yescomplemented
277C4×#125C2212yescomplemented
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2214yes—
282C4×#121C2214yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#391C2212yes—
288C2×#391C2211yescharacteristic
289C2×#391C2211yescharacteristic
290#2293C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293C2×#388C2212yes—
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2314yes—
305C23×Q8C2312yes—
306C24×C4C2311yescharacteristic
307Q82—216no—
308#557—216no—
309#556—216no—
310#554—216no—
311#554—216no—
312#554—232no—
313#552—216no—
314#552—216no—
315#552—232no—
316#551—232no—
317D4×Q8—216no—
318D4×Q8—232no—
319#544—216no—
320#544—216no—
321#544—28no—
322#544D4116yescomplemented
323#542—216no—
324#541—216no—
325#537—28no—
326#536—28no—
327#536—28no—
328#533—216no—
329#533—216no—
330#533—28no—
331C2×C4⋊Q8—216no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349#529—216no—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2311yescharacteristic
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370#525—28no—
371#525—28no—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×C22⋊Q8—28no—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418#520—28no—
419#520—28no—
420#520—28no—
421#519—28no—
422C4×#41—28no—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×#117—28no—
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2314yes—
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2314yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2314yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C22⋊C4C2312yes—
486C22×C22⋊C4C2311yescharacteristic
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2312yes—
490C22×C42C2312yes—
491C22×C42C2312yes—
492C22×C42C2311yescharacteristic
493C22×C42C2311yescharacteristic
494C22×C42C2312yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#399C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2312yes—
571#393C2312yes—
572#393C2312yes—
573#393C2312yes—
574#392C2314yes—
575#391C2314yes—
576#391C2314yes—
577#391C2314yes—
578#391C2311yescharacteristic
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2314yes—
591#391C2314yes—
592#391C2311yescharacteristic
593#391C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2314yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#384C2312yes—
756#384C2312yes—
757#384C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2314yes—
762#382C2314yes—
763#382C2312yes—
764#382C2312yes—
765#381C2314yes—
766#381C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2314yes—
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#379C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836#376C2312yes—
837#376C2312yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2311yescharacteristic
841C2×#95C2311yescharacteristic
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C43C2312yes—
847C43C2312yes—
848C25C2411yescharacteristic
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41#4118yes—
855C22×Q8—216no—
856C22×Q8—24no—
857C22×Q8—28no—
858C22×Q8—24no—
859C22×Q8—24no—
860C22×Q8—44no—
861C22×Q8—48no—
862C22×Q8—82no—
863C22×Q8—84no—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2414yes—
872C22×Q8C2414yes—
873C22×Q8C2414yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C23×C4—24no—
884C23×C4—24no—
885C23×C4—24no—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C4⋊Q8—216no—
910C4⋊Q8—216no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—216no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—24no—
919C4⋊Q8—216no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8C2×D4116yes—
924C4⋊Q8C2×D4116yes—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#125—24no—
930#125—24no—
931#125—216no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—28no—
936#125—216no—
937#125—28no—
938#125C2×D4116yes—
939#125C2×D4116yes—
940#124—216no—
941#124—28no—
942#124—28no—
943#124—28no—
944#124—44no—
945#123—28no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—28no—
950#123—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—24no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—48no—
977C22⋊Q8—84no—
978C22⋊Q8—84no—
979C22⋊Q8C2×D4132yes—
980#121—24no—
981#121—24no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—24no—
986#121—24no—
987#121—84no—
988#120—28no—
989#120—28no—
990C4×Q8—216no—
991C4×Q8—24no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—216no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—84no—
1005C4×D4—216no—
1006C4×D4—216no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—28no—
1015C4×D4—28no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—44no—
1022C4×D4—84no—
1023#117—24no—
1024#117—24no—
1025#117—24no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—28no—
1030#117—28no—
1031#117—28no—
1032#117—216no—
1033#117—216no—
1034#117—28no—
1035#117—216no—
1036#117—28no—
1037#117—28no—
1038#117C2×D418yes—
1039#117C2×D418yes—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—28no—
1042C2×C4⋊C4—28no—
1043C2×C4⋊C4—24no—
1044C2×C4⋊C4—24no—
1045C2×C4⋊C4—24no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4C2×D418yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C22⋊C4—28no—
1118C2×C22⋊C4—28no—
1119C2×C22⋊C4—24no—
1120C2×C22⋊C4—42no—
1121C2×C22⋊C4—82no—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C42—24no—
1180C2×C42—24no—
1181C2×C42—28no—
1182C2×C42—28no—
1183C2×C42—82no—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24—22no—
1282C24—22no—
1283C24—22no—
1284C24—22no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24C2511yescharacteristic
1289C24C2512yes—
1290C24C2512yes—
1291C24C2511yescharacteristic
1292C24C2511yescharacteristic
1293#41—232no—
1294#41—416no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—28no—
1302C2×Q8—28no—
1303C2×Q8—28no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—28no—
1313C2×Q8—24no—
1314C2×Q8—44no—
1315C2×Q8—44no—
1316C2×Q8—44no—
1317C2×Q8—42no—
1318C2×Q8—42no—
1319C2×Q8—44no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—44no—
1323C2×Q8—416no—
1324C2×Q8—816no—
1325C2×Q8—832no—
1326C2×Q8C22×D4116yes—
1327C2×Q8C2×#4114yes—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4C2×#4118yes—
1354C2×D4C2×#4114yes—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—41no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—41no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—42no—
1406C22×C4—41no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—42no—
1419C22×C4—416no—
1420C22×C4C22×D418yes—
1421C22×C4C22×D414yes—
1422C22×C4C2×#4118yes—
1423C22×C4C2×#4114yes—
1424C22×C42−1+414yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4C22×D414yes—
1513C4⋊C4C22×D418yes—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C22×D414yes—
1516C4⋊C4C22×D414yes—
1517C4⋊C4C22×D4116yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D4116yes—
1520C4⋊C4C22×D4116yes—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4C22×D418yes—
1576C22⋊C4C22×D418yes—
1577C22⋊C42−1+414yes—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—24no—
1582C42—22no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—28no—
1588C42—28no—
1589C42—28no—
1590C42—28no—
1591C42—28no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—44no—
1602C42—44no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—42no—
1607C42—42no—
1608C42—42no—
1609C42C22×D418yes—
1610C42C22×D418yes—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—22no—
1621C23—21no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—21no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—82no—
1646C23—82no—
1647C23—82no—
1648C23C23×D412yes—
1649C23C22×#4114yes—
1650C23C22×#4112yes—
1651C23C2×2−1+412yes—
1652C23C2×2−1+412yes—
1653C23C2611yescharacteristic
1654Q8—28no—
1655Q8—416no—
1656Q8—48no—
1657Q8—416no—
1658Q8—48no—
1659Q8—48no—
1660Q8—48no—
1661Q8—44no—
1662Q8—88no—
1663Q8—88no—
1664D4—216no—
1665D4—28no—
1666D4—48no—
1667D4—48no—
1668D4—48no—
1669D4—44no—
1670D4—84no—
1671D4—88no—
1672D4—84no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—216no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—44no—
1753C2×C4—48no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—88no—
1764C2×C4—84no—
1765C2×C4—88no—
1766C2×C4—88no—
1767C2×C4—84no—
1768C2×C4—82no—
1769C2×C4—84no—
1770C2×C4#548116yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D414yes—
1775C2×C4C23×D418yes—
1776C2×C4C23×D412yes—
1777C2×C4C23×D412yes—
1778C2×C4C22×#4114yes—
1779C2×C4C22×#4112yes—
1780C2×C4C22×#4112yes—
1781C2×C4C2×2−1+412yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4C2×2−1+412yes—
1784C2×C4C2×2−1+412yes—
1785C2×C4#58512yes—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—24no—
1795C22—24no—
1796C22—22no—
1797C22—24no—
1798C22—42no—
1799C22—41no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—88no—
1821C22C2×#54814yes—
1822C22C24×D411yescharacteristic
1823C22C23×#4111yescharacteristic
1824C22C22×2−1+411yescharacteristic
1825C22C22×2−1+411yescharacteristic
1826C22C2×#58511yescharacteristic
1827C22H(7,𝔽2)11yescharacteristic
1828C222−1+611yescharacteristic
1829C4—22no—
1830C4—28no—
1831C4—24no—
1832C4—24no—
1833C4—22no—
1834C4—24no—
1835C4—24no—
1836C4—22no—
1837C4—24no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—44no—
1842C4—42no—
1843C4—41no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—44no—
1855C4—41no—
1856C4—41no—
1857C4C2×#54814yes—
1858C4C2×#54814yes—
1859C2—24no—
1860C2—44no—
1861C2—42no—
1862C2—82no—
1863C2—81no—
1864C2C22×#54811yescharacteristic
1865C2#6280511yescharacteristic
1866C2#6285711yescharacteristic
1867C2#6294511yescharacteristic
1868C2#6295911yescharacteristic
1869C2#6298711yescharacteristic
1870C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3495C2semidirect
2. C2×#3503C2semidirect
3. #59656C2semidirect
4. #59655C2semidirect
5. #59651C2semidirect
6. #59649C2semidirect
7. #59586C2semidirect
8. #59421C2semidirect
9. #45338C2semidirect
10. #45337C2semidirect
11. #45300C2semidirect
12. #45071C2semidirect
13. #43532C2semidirect
14. #43104C2semidirect
15. #39427C2semidirect
16. #39424C2semidirect
17. #37759C2semidirect
18. #37757C2semidirect
19. #37709C2semidirect
20. #37704C2semidirect
21. #36142C2semidirect
22. #36129C2semidirect
23. #35662C2semidirect
24. #35633C2semidirect
25. #35574C2semidirect
27. #35312C2semidirect
28. #35308C2semidirect
29. #35253C2semidirect
30. #34813C2semidirect
31. C2×#2492C2semidirect
32. #34276C2semidirect
33. #34274C2semidirect
34. #34136C2semidirect
35. C4×#544C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
43. C2×#554C22semidirect
49. C2×D4×Q8C22semidirect
52. C2×#544C22semidirect
53. C2×#544C22semidirect
61. C2×#533C22semidirect
63. C22×C4⋊Q8C22semidirect
74. #2862C22semidirect
75. #2861C22semidirect
77. #2857C22semidirect
79. #2850C22semidirect
83. #2729C22semidirect
85. #2728C22semidirect
86. #2725C22semidirect
88. #2719C22semidirect
89. #2719C22semidirect
91. #2716C22semidirect
92. #2716C22semidirect
96. #2702C22semidirect
98. #2690C22semidirect
99. #2690C22semidirect
100. #2690C22semidirect
101. #2690C22semidirect
104. #2642C22semidirect
105. #2640C22semidirect
108. #2621C22semidirect
109. #2620C22semidirect
110. #2582C22semidirect
111. #2582C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
116. #2560C22semidirect
117. #2560C22semidirect
119. #2550C22semidirect
120. #2550C22semidirect
137. #2492C22semidirect
138. #2492C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
153. #2481C22semidirect
155. #2477C22semidirect
157. #2475C22semidirect
162. #2469C22semidirect
167. #2453C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2451C22semidirect
176. #2451C22semidirect
177. #2451C22semidirect
178. #2446C22semidirect
179. #2446C22semidirect
182. #2442C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
189. #2439C22semidirect
190. #2439C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
204. #2427C22semidirect
205. #2427C22semidirect
211. #2421C22semidirect
219. #2415C22semidirect
223. #2409C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
249. #2360C22semidirect
257. Q8×C22⋊C4C22semidirect
258. #2331C22semidirect
259. #2331C22semidirect
260. #2330C22semidirect
261. #2330C22semidirect
263. #2327C22semidirect
264. #2326C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
280. C4×#124C22semidirect
322. #544D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#35032
#596562
#596552
#596512
#596492
#595862
#594212
#453382
#453372
#453002
#450712
#435322
#431042
#394272
#394242
#377592
#377572
#377092
#377042
#361422
#361292
#356622
#356332
#355742
#355182
#353122
#353082
#352532
#348132
C2×#24922
#342762
#342742
#341362
C4×#5442