Finite Group Databasebeta

← #7724349

Subgroups — #7724349

Order 512.

7080 conjugacy classes of subgroups.

The subgroup lattice has 1803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C211yesmaximal, characteristic, complemented
2C22×#540C211yesmaximal, characteristic, complemented
3#50179C214yesmaximal, complemented
4#50178C214yesmaximal, complemented
5#47210C214yesmaximal, complemented
6#47207C214yesmaximal, complemented
7#44453C214yesmaximal, complemented
8#44452C214yesmaximal, complemented
9#39467C212yesmaximal, complemented
10#39460C212yesmaximal, complemented
11#38045C212yesmaximal, complemented
12#38039C212yesmaximal, complemented
13#37843C212yesmaximal, complemented
14#37840C212yesmaximal, complemented
15#37814C214yesmaximal, complemented
16#37734C214yesmaximal, complemented
17#37440C211yesmaximal, characteristic, complemented
18#37232C211yesmaximal, characteristic, complemented
19#36720C211yesmaximal, characteristic, complemented
20#36718C211yesmaximal, characteristic, complemented
21#36715C211yesmaximal, characteristic, complemented
22#36427C212yesmaximal, complemented
23#36317C212yesmaximal, complemented
24#35554C211yesmaximal, characteristic, complemented
25#35355C211yesmaximal, characteristic, complemented
26#35354C211yesmaximal, characteristic, complemented
27#35351C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic, complemented
29#35062C211yesmaximal, characteristic, complemented
30#34809C211yesmaximal, characteristic, complemented
31#34357C211yesmaximal, characteristic, complemented
32#3491—216no—
33C2×#552C2212yes—
34C2×#552C2212yes—
35C2×#552C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#551C2212yes—
38C2×#551C2212yes—
39C2×#551C2212yescomplemented
40C2×#551C2212yescomplemented
41C2×#543C2211yescharacteristic
42C2×#540—216no—
43C2×#540C2214yes—
44C2×#540C2214yes—
45C2×#540C2214yescomplemented
46C2×#540C2214yescomplemented
47C2×#539C2212yescomplemented
48C2×#539C2212yescomplemented
49C2×#534C2211yescharacteristic
50C22×#127C2211yescharacteristic
51C2×#529C2212yescomplemented
52C2×#529C2212yescomplemented
53C22×#125C2211yescharacteristic, complemented
54C22×#123C2211yescharacteristic
55C22×#123C2211yescharacteristic
56C22×#123C2211yescharacteristic
57C22×#123C2211yescharacteristic, complemented
58C22×#123C2211yescharacteristic, complemented
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic, complemented
65C2×#518C2211yescharacteristic
66C2×#518C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic
70C22×#117C2211yescharacteristic, complemented
71#2854C2212yescomplemented
72#2854C2212yescomplemented
73#2853C2212yes—
74#2853C2212yes—
75#2849C2212yes—
76#2849C2212yes—
77#2848C2212yescomplemented
78#2848C2212yescomplemented
79#2813C2214yescomplemented
80#2726C2214yescomplemented
81#2725C2214yescomplemented
82#2720C2214yescomplemented
83#2719C2214yescomplemented
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2714C2214yescomplemented
87#2714C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2710C2214yescomplemented
91#2709C2214yescomplemented
92#2707C2214yescomplemented
93#2706C2214yescomplemented
94#2705C2214yescomplemented
95#2703C2214yescomplemented
96#2703C2214yescomplemented
97#2701C2214yescomplemented
98#2699C2214yescomplemented
99#2696C2214yescomplemented
100#2694C2214yescomplemented
101#2691C2214yescomplemented
102#2691C2214yescomplemented
103#2687C2214yescomplemented
104#2687C2214yescomplemented
105#2682C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2680C2214yescomplemented
110#2680C2214yescomplemented
111#2678C2214yescomplemented
112#2676C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2672C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yescomplemented
119#2669C2214yescomplemented
120#2661C2214yescomplemented
121#2630C2214yescomplemented
122#2627C2212yescomplemented
123#2626C2212yescomplemented
124#2624C2214yescomplemented
125#2623C2212yes—
126#2618C2212yescomplemented
127#2617C2212yescomplemented
128#2613C2212yes—
129#2613C2212yes—
130#2613C2212yes—
131#2602C2214yescomplemented
132#2591C2212yescomplemented
133#2583C2212yescomplemented
134#2579C2212yes—
135#2579C2212yescomplemented
136#2561C2212yescomplemented
137#2559C2214yescomplemented
138#2559C2214yescomplemented
139#2558C2214yescomplemented
140#2555C2214yescomplemented
141#2554C2214yescomplemented
142#2540C2214yescomplemented
143#2539C2212yescomplemented
144#2534C2212yes—
145#2534C2212yescomplemented
146#2519C2214yescomplemented
147#2506C2214yescomplemented
148#2504C2212yescomplemented
149#2502C2212yescomplemented
150#2501C2212yescomplemented
151#2501C2214yescomplemented
152#2500C2214yescomplemented
153#2490C2214yescomplemented
154#2488C2214yescomplemented
155#2487C2212yes—
156#2487C2212yescomplemented
157#2486C2212yescomplemented
158#2485C2214yescomplemented
159#2484C2212yescomplemented
160#2484C2212yescomplemented
161#2483C2211yescharacteristic
162#2483C2211yescharacteristic
163#2483C2211yescharacteristic
164#2482C2212yescomplemented
165#2482C2212yescomplemented
166#2482C2212yescomplemented
167#2482C2212yescomplemented
168#2479C2214yescomplemented
169#2479C2214yescomplemented
170#2476C2214yescomplemented
171#2476C2214yescomplemented
172#2476C2214yescomplemented
173#2475C2214yescomplemented
174#2475C2214yescomplemented
175#2475C2214yescomplemented
176#2471C2214yescomplemented
177#2470C2214yescomplemented
178#2468C2214yescomplemented
179#2466C2214yescomplemented
180#2464C2214yescomplemented
181#2464C2214yescomplemented
182#2464C2214yescomplemented
183#2462C2214yescomplemented
184#2461C2214yescomplemented
185#2458C2214yescomplemented
186#2457C2214yescomplemented
187#2456C2214yescomplemented
188#2456C2214yescomplemented
189#2455C2214yescomplemented
190#2455C2214yescomplemented
191#2449C2214yescomplemented
192#2445C2214yescomplemented
193#2445C2214yescomplemented
194#2445C2214yescomplemented
195#2445C2214yescomplemented
196#2444C2214yescomplemented
197#2444C2214yescomplemented
198#2443C2214yescomplemented
199#2443C2214yescomplemented
200#2441C2214yescomplemented
201#2435C2212yescomplemented
202#2426C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yescomplemented
206#2418C2214yescomplemented
207#2415C2214yescomplemented
208#2414C2214yescomplemented
209#2413C2212yes—
210#2413C2212yes—
211#2413C2214yescomplemented
212#2411C2212yes—
213#2411C2212yes—
214#2411C2212yes—
215#2411C2212yes—
216#2410C2212yes—
217#2410C2212yes—
218#2408C2212yes—
219#2405C2211yescharacteristic
220#2405C2211yescharacteristic
221#2405C2211yescharacteristic
222#2405C2211yescharacteristic
223#2405C2211yescharacteristic
224#2405C2211yescharacteristic
225#2405C2211yescharacteristic
226#2405C2211yescharacteristic
227#2405C2211yescharacteristic
228#2405C2211yescharacteristic
229#2405C2212yescomplemented
230#2405C2212yescomplemented
231#2403C2211yescharacteristic
232#2403C2211yescharacteristic
233#2403C2211yescharacteristic
234#2395C2214yescomplemented
235#2376C2214yescomplemented
236#2374C2214yescomplemented
237#2362C2214yescomplemented
238#2361C2214yescomplemented
239#2359C2214yescomplemented
240#2354C2214yescomplemented
241#2344C2212yescomplemented
242#2344C2212yescomplemented
243#2342C2212yescomplemented
244#2342C2212yescomplemented
245#2335C2214yescomplemented
246#2335C2214yescomplemented
247#2322C2212yes—
248#2322C2212yescomplemented
249#2321C2212yes—
250#2321C2212yescomplemented
251#2317C2212yescomplemented
252#2312C2211yescharacteristic
253#2312C2211yescharacteristic
254#2309C2211yescharacteristic
255#2309C2212yescomplemented
256#2309C2212yescomplemented
257#2308C2211yescharacteristic
258#2308C2212yescomplemented
259C4×#123C2212yescomplemented
260C4×#123C2212yescomplemented
261C4×#120C2212yes—
262C4×#120C2212yes—
263#2296C2212yescomplemented
264#2296C2212yescomplemented
265C2×#385C2212yescomplemented
266#2280C2211yescharacteristic
267#2280C2211yescharacteristic
268#2280C2212yescomplemented
269C23×D4C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2311yescharacteristic
276C23×D4C2311yescharacteristic
277C23×D4C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C23×D4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284C24×C4C2311yescharacteristic
285#552—216no—
286#552—216no—
287#552—216no—
288#552—216no—
289#551—216no—
290#551—216no—
291#551—216no—
292#551—216no—
293#543—28no—
294#540—232no—
295#540—232no—
296#540—232no—
297#540—232no—
298#539—216no—
299#539—216no—
300#534—28no—
301C2×#127—28no—
302C2×#127C2314yes—
303C2×#127C2314yes—
304#529—216no—
305#529—216no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#125—28no—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#123—28no—
327C2×#123—28no—
328C2×#123—28no—
329C2×#123—28no—
330C2×#123D4116yescomplemented
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×#121—28no—
377C2×#121—28no—
378C2×#121—28no—
379C2×#121—28no—
380C2×#121—28no—
381C2×#121—28no—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409#518—28no—
410#518—28no—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×D4—28no—
414C2×C4×D4—28no—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×#117—28no—
434C2×#117—28no—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2314yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2314yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C42C2311yescharacteristic
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#399C2314yes—
491#399C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#395C2314yes—
528#395C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2314yes—
560#393C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#391C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#384C2314yes—
716#384C2314yes—
717#382C2314yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#379C2312yes—
740#379C2312yes—
741#379C2311yescharacteristic
742#379C2311yescharacteristic
743#379C2312yes—
744#379C2312yes—
745#379C2311yescharacteristic
746#379C2311yescharacteristic
747#379C2312yes—
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2411yescharacteristic
776C25C2411yescharacteristic
777C25C2411yescharacteristic
778C25C2411yescharacteristic
779C22×Q8C2412yes—
780C22×Q8C2412yes—
781C22×D4—24no—
782C22×D4—24no—
783C22×D4—24no—
784C22×D4—24no—
785C22×D4—24no—
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—24no—
790C22×D4—24no—
791C22×D4—44no—
792C22×D4—44no—
793C22×D4—44no—
794C22×D4—44no—
795C22×D4—44no—
796C22×D4—44no—
797C22×D4—44no—
798C22×D4—82no—
799C22×D4—82no—
800C22×D4—82no—
801C22×D4—82no—
802C22×D4C2×D418yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2414yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4—24no—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4—44no—
830C23×C4—44no—
831C23×C4—44no—
832C23×C4—82no—
833C23×C4—82no—
834C23×C4C2×D418yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866#127—216no—
867#127—216no—
868#126—28no—
869#126—28no—
870#126—28no—
871#126—28no—
872#126—28no—
873#126—28no—
874#126—28no—
875#126—28no—
876#125—216no—
877#125—216no—
878#125—28no—
879#125—28no—
880#125—28no—
881#125—28no—
882#125—28no—
883#125—28no—
884#124—28no—
885#124—28no—
886#124—84no—
887#123—28no—
888#123—28no—
889#123—28no—
890#123—28no—
891#123—28no—
892#123—28no—
893#123—216no—
894#123—216no—
895#123—216no—
896#123—216no—
897#123—216no—
898#123—216no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—44no—
904#123—44no—
905#123—48no—
906#123—44no—
907#123—44no—
908#123—82no—
909#123—84no—
910#123—82no—
911#123—82no—
912#123—82no—
913#123—84no—
914#123—82no—
915#123—82no—
916#123C2×D4116yes—
917#123C2×D4116yes—
918#123C2×D4116yes—
919#123C2×D4116yes—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—48no—
931C22⋊Q8—84no—
932#121—216no—
933#121—216no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—216no—
941#121—216no—
942#121—216no—
943#121—216no—
944#121—216no—
945#121—216no—
946#121—216no—
947#121—216no—
948#121—48no—
949#121—84no—
950#121—84no—
951#120—28no—
952#120—28no—
953#120—44no—
954#120—44no—
955#120—44no—
956#120—44no—
957#120—82no—
958#120—82no—
959C4×Q8—28no—
960C4×Q8—28no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—28no—
966C4×D4—28no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—216no—
972C4×D4—216no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—48no—
978C4×D4—84no—
979#117—28no—
980#117—28no—
981#117—28no—
982#117—28no—
983#117—28no—
984#117—216no—
985#117—216no—
986#117—28no—
987#117—28no—
988#117—28no—
989#117—28no—
990#117—28no—
991#117—44no—
992#117—44no—
993#117—44no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—84no—
1005C2×C4⋊C4C2×D418yes—
1006C2×C4⋊C4C2×D418yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C22⋊C4—24no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—28no—
1062C2×C22⋊C4—24no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—24no—
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—24no—
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—28no—
1071C2×C22⋊C4—44no—
1072C2×C22⋊C4C2×D418yes—
1073C2×C22⋊C4C2×D418yes—
1074C2×C22⋊C4C2×D418yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24—24no—
1204C24—24no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—24no—
1210C24—24no—
1211C24—24no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24C22×D414yes—
1226C24C22×D414yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2512yes—
1230C24C2512yes—
1231C24C2511yescharacteristic
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—416no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—416no—
1272C2×D4—416no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—416no—
1303C2×D4—88no—
1304C2×D4—88no—
1305C2×D4—88no—
1306C2×D4—88no—
1307C2×D4—88no—
1308C2×D4—88no—
1309C2×D4—88no—
1310C2×D4C22×D418yes—
1311C2×D4C22×D418yes—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—416no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—416no—
1371C22×C4—88no—
1372C22×C4—88no—
1373C22×C4—88no—
1374C22×C4C22×D414yes—
1375C22×C4C22×D414yes—
1376C22×C4C22×D414yes—
1377C22×C4C22×D414yes—
1378C22×C4C22×D414yes—
1379C22×C4C22×D414yes—
1380C22×C4C22×D414yes—
1381C22×C4C22×D414yes—
1382C22×C4C22×D414yes—
1383C22×C4C2514yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4C22×D418yes—
1453C4⋊C4C22×D418yes—
1454C4⋊C4C22×D418yes—
1455C4⋊C4C22×D418yes—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4C22×D418yes—
1527C22⋊C4C22×D418yes—
1528C22⋊C4C22×D418yes—
1529C22⋊C4C22×D418yes—
1530C22⋊C4C22×D418yes—
1531C22⋊C4C22×D418yes—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—28no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—28no—
1561C23—28no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—24no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23—88no—
1601C23—82no—
1602C23—82no—
1603C23—164no—
1604C23C23×D412yes—
1605C23C23×D414yes—
1606C23C23×D412yes—
1607C23C23×D412yes—
1608C23#58514yes—
1609C23C2611yescharacteristic
1610Q8—84no—
1611Q8—84no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—416no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—84no—
1620D4—84no—
1621D4—88no—
1622D4—88no—
1623D4—84no—
1624D4—84no—
1625D4—88no—
1626D4—84no—
1627D4—84no—
1628D4—88no—
1629D4—84no—
1630D4—84no—
1631D4—88no—
1632D4—88no—
1633D4—164no—
1634C2×C4—28no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—28no—
1646C2×C4—28no—
1647C2×C4—28no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—416no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—88no—
1702C2×C4—82no—
1703C2×C4—84no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4—82no—
1707C2×C4—84no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4C23×D412yes—
1713C2×C4C23×D412yes—
1714C2×C4C23×D414yes—
1715C2×C4C23×D412yes—
1716C2×C4C23×D414yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D412yes—
1719C2×C4#58514yes—
1720C22—22no—
1721C22—22no—
1722C22—28no—
1723C22—22no—
1724C22—22no—
1725C22—24no—
1726C22—22no—
1727C22—24no—
1728C22—22no—
1729C22—24no—
1730C22—22no—
1731C22—22no—
1732C22—44no—
1733C22—44no—
1734C22—44no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—44no—
1750C22—44no—
1751C22—44no—
1752C22—44no—
1753C22—44no—
1754C22—44no—
1755C22—44no—
1756C22—88no—
1757C22—88no—
1758C22—88no—
1759C22—88no—
1760C22—88no—
1761C22—164no—
1762C22#348514yes—
1763C22C24×D411yescharacteristic
1764C22C2×#58512yes—
1765C22C2×#58512yes—
1766C22H(7,𝔽2)12yes—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—24no—
1772C4—24no—
1773C4—24no—
1774C4—24no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—44no—
1787C4—44no—
1788C4—44no—
1789C4—44no—
1790C2—24no—
1791C2—42no—
1792C2—44no—
1793C2—42no—
1794C2—82no—
1795C2—82no—
1796C2—82no—
1797C2—82no—
1798C2C2×#348511yescharacteristic
1799C2#6281111yescharacteristic
1800C2#6285211yescharacteristic
1801C2#6294114yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3491C2semidirect
2. C22×#540C2semidirect
3. #50179C2semidirect
4. #50178C2semidirect
5. #47210C2semidirect
6. #47207C2semidirect
7. #44453C2semidirect
8. #44452C2semidirect
9. #39467C2semidirect
10. #39460C2semidirect
11. #38045C2semidirect
12. #38039C2semidirect
13. #37843C2semidirect
14. #37840C2semidirect
15. #37814C2semidirect
16. #37734C2semidirect
17. #37440C2semidirect
18. #37232C2semidirect
19. #36720C2semidirect
20. #36718C2semidirect
21. #36715C2semidirect
22. #36427C2semidirect
23. #36317C2semidirect
24. #35554C2semidirect
25. #35355C2semidirect
26. #35354C2semidirect
27. #35351C2semidirect
28. #35262C2semidirect
29. #35062C2semidirect
30. #34809C2semidirect
31. #34357C2semidirect
35. C2×#552C22semidirect
36. C2×#552C22semidirect
39. C2×#551C22semidirect
40. C2×#551C22semidirect
45. C2×#540C22semidirect
46. C2×#540C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
51. C2×#529C22semidirect
52. C2×#529C22semidirect
53. C22×#125C22semidirect
57. C22×#123C22semidirect
58. C22×#123C22semidirect
62. C22×#121C22semidirect
63. C22×#121C22semidirect
64. C22×#121C22semidirect
68. C22×C4×D4C22semidirect
70. C22×#117C22semidirect
71. #2854C22semidirect
72. #2854C22semidirect
77. #2848C22semidirect
78. #2848C22semidirect
79. #2813C22semidirect
80. #2726C22semidirect
81. #2725C22semidirect
82. #2720C22semidirect
83. #2719C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
86. #2714C22semidirect
87. #2714C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
90. #2710C22semidirect
91. #2709C22semidirect
92. #2707C22semidirect
93. #2706C22semidirect
94. #2705C22semidirect
95. #2703C22semidirect
96. #2703C22semidirect
97. #2701C22semidirect
98. #2699C22semidirect
99. #2696C22semidirect
100. #2694C22semidirect
101. #2691C22semidirect
102. #2691C22semidirect
103. #2687C22semidirect
104. #2687C22semidirect
105. #2682C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2680C22semidirect
110. #2680C22semidirect
111. #2678C22semidirect
112. #2676C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2672C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2671C22semidirect
119. #2669C22semidirect
120. #2661C22semidirect
121. #2630C22semidirect
122. #2627C22semidirect
123. #2626C22semidirect
124. #2624C22semidirect
126. #2618C22semidirect
127. #2617C22semidirect
131. #2602C22semidirect
132. #2591C22semidirect
133. #2583C22semidirect
135. #2579C22semidirect
136. #2561C22semidirect
137. #2559C22semidirect
138. #2559C22semidirect
139. #2558C22semidirect
140. #2555C22semidirect
141. #2554C22semidirect
142. #2540C22semidirect
143. #2539C22semidirect
145. #2534C22semidirect
146. #2519C22semidirect
147. #2506C22semidirect
148. #2504C22semidirect
149. #2502C22semidirect
150. #2501C22semidirect
151. #2501C22semidirect
152. #2500C22semidirect
153. #2490C22semidirect
154. #2488C22semidirect
156. #2487C22semidirect
157. #2486C22semidirect
158. #2485C22semidirect
159. #2484C22semidirect
160. #2484C22semidirect
164. #2482C22semidirect
165. #2482C22semidirect
166. #2482C22semidirect
167. #2482C22semidirect
168. #2479C22semidirect
169. #2479C22semidirect
170. #2476C22semidirect
171. #2476C22semidirect
172. #2476C22semidirect
173. #2475C22semidirect
174. #2475C22semidirect
175. #2475C22semidirect
176. #2471C22semidirect
177. #2470C22semidirect
178. #2468C22semidirect
179. #2466C22semidirect
180. #2464C22semidirect
181. #2464C22semidirect
182. #2464C22semidirect
183. #2462C22semidirect
184. #2461C22semidirect
185. #2458C22semidirect
186. #2457C22semidirect
187. #2456C22semidirect
188. #2456C22semidirect
189. #2455C22semidirect
190. #2455C22semidirect
191. #2449C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2444C22semidirect
197. #2444C22semidirect
198. #2443C22semidirect
199. #2443C22semidirect
200. #2441C22semidirect
201. #2435C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
205. #2424C22semidirect
206. #2418C22semidirect
207. #2415C22semidirect
208. #2414C22semidirect
211. #2413C22semidirect
229. #2405C22semidirect
230. #2405C22semidirect
234. #2395C22semidirect
235. #2376C22semidirect
236. #2374C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2359C22semidirect
240. #2354C22semidirect
241. #2344C22semidirect
242. #2344C22semidirect
243. #2342C22semidirect
244. #2342C22semidirect
245. #2335C22semidirect
246. #2335C22semidirect
248. #2322C22semidirect
250. #2321C22semidirect
251. #2317C22semidirect
255. #2309C22semidirect
256. #2309C22semidirect
258. #2308C22semidirect
259. C4×#123C22semidirect
260. C4×#123C22semidirect
263. #2296C22semidirect
264. #2296C22semidirect
265. C2×#385C22semidirect
268. #2280C22semidirect
330. C2×#123D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
C22×#5402
#501792
#501782
#472102
#472072
#444532
#444522
#394672
#394602
#380452
#380392
#378432
#378402
#378142
#377342
#374402
#372322
#367202
#367182
#367152
#364272
#363172
#355542
#353552
#353542
#353512
#352622
#350622
#348092
#343572