Finite Group Databasebeta

← #7732575

Subgroups — #7732575

Order 512.

7532 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#50865C214yesmaximal, complemented
4#50643C214yesmaximal, complemented
5#47686C214yesmaximal, complemented
6#47682C214yesmaximal, complemented
7#43974C214yesmaximal, complemented
8#43904C214yesmaximal, complemented
9#39130C212yesmaximal, complemented
10#39125C212yesmaximal, complemented
11#37839C212yesmaximal, complemented
12#37838C212yesmaximal, complemented
13#37770C212yesmaximal, complemented
14#37754C212yesmaximal, complemented
15#37697C212yesmaximal, complemented
16#37678C212yesmaximal, complemented
17#37657C212yesmaximal, complemented
18#37649C212yesmaximal, complemented
19#37554C211yesmaximal, characteristic, complemented
20#37280C212yesmaximal, complemented
21#37271C212yesmaximal, complemented
22#36153C212yesmaximal, complemented
23#36097C212yesmaximal, complemented
24#35520C212yesmaximal, complemented
25#35518C212yesmaximal, complemented
26#35247C211yesmaximal, characteristic, complemented
27#35165C211yesmaximal, characteristic, complemented
28C2×#2536C211yesmaximal, characteristic, complemented
29#34382C211yesmaximal, characteristic, complemented
30#3522—216no—
31C2×#559C2212yescomplemented
32C2×#559C2211yescharacteristic, complemented
33C2×Q82C2211yescharacteristic, complemented
34C2×#554C2212yescomplemented
35C2×#554C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic, complemented
37C2×#548C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×#547C2214yescomplemented
40C2×#546C2214yes—
41#3459—216no—
42C2×#543C2211yescharacteristic
43C2×#542C2214yescomplemented
44C2×#542C2212yescomplemented
45C2×#539C2212yes—
46C2×#539C2212yes—
47C2×#539C2212yes—
48C2×#538C2211yescharacteristic
49C2×#538C2212yes—
50C2×#538C2211yescharacteristic
51C2×#538C2212yes—
52C2×#537C2212yescomplemented
53C2×#535C2212yes—
54C2×#534C2211yescharacteristic
55C2×#534C2212yes—
56C2×#532C2212yes—
57C2×#532C2211yescharacteristic, complemented
58C2×#529C2212yes—
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2211yescharacteristic
62C2×#529C2212yescomplemented
63C2×#525C2212yes—
64C2×#525C2212yes—
65C2×#525C2212yes—
66C2×#525C2212yescomplemented
67C22×C22⋊Q8C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic, complemented
69C2×#520C2212yescomplemented
70C22×C4×Q8C2211yescharacteristic, complemented
71C22×C4×D4C2212yes—
72C22×C4×D4C2211yescharacteristic
73#2857C2212yescomplemented
74#2855C2212yescomplemented
75#2854C2212yes—
76#2850C2212yescomplemented
77#2848C2212yescomplemented
78#2847C2212yes—
79#2847C2212yescomplemented
80#2847C2212yescomplemented
81#2820C2212yescomplemented
82#2819C2212yescomplemented
83#2733C2214yescomplemented
84#2730C2214yescomplemented
85#2727C2214yescomplemented
86#2723C2214yescomplemented
87#2716C2214yescomplemented
88#2716C2214yescomplemented
89#2714C2214yescomplemented
90#2712C2214yescomplemented
91#2710C2214yescomplemented
92#2706C2214yescomplemented
93#2706C2214yescomplemented
94#2704C2214yescomplemented
95#2703C2214yescomplemented
96#2702C2214yescomplemented
97#2696C2214yescomplemented
98#2695C2214yescomplemented
99#2694C2214yescomplemented
100#2694C2214yescomplemented
101#2692C2214yescomplemented
102#2692C2214yescomplemented
103#2690C2214yescomplemented
104#2687C2214yescomplemented
105#2683C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2678C2214yescomplemented
110#2676C2214yes—
111#2676C2214yescomplemented
112#2674C2214yescomplemented
113#2674C2214yescomplemented
114#2673C2214yes—
115#2673C2214yescomplemented
116#2672C2214yes—
117#2672C2214yescomplemented
118#2672C2214yescomplemented
119#2671C2214yes—
120#2670C2214yescomplemented
121#2669C2214yescomplemented
122#2669C2214yescomplemented
123#2656C2212yes—
124#2639C2212yescomplemented
125#2637C2214yescomplemented
126#2636C2214yescomplemented
127#2628C2212yescomplemented
128#2628C2212yescomplemented
129#2620C2212yescomplemented
130#2619C2212yescomplemented
131#2617C2212yes—
132#2617C2212yescomplemented
133#2616C2212yescomplemented
134#2615C2212yescomplemented
135#2592C2212yescomplemented
136#2584C2212yescomplemented
137#2582C2211yescharacteristic, complemented
138#2582C2211yescharacteristic, complemented
139#2580C2212yescomplemented
140#2563C2212yescomplemented
141#2554C2214yescomplemented
142#2550C2214yescomplemented
143#2549C2214yescomplemented
144#2547C2212yescomplemented
145#2547C2212yescomplemented
146#2544C2214yescomplemented
147#2541C2212yescomplemented
148#2540C2212yescomplemented
149#2540C2212yescomplemented
150#2539C2214yescomplemented
151#2538C2212yescomplemented
152#2538C2211yescharacteristic, complemented
153#2538C2211yescharacteristic, complemented
154#2537C2212yescomplemented
155#2537C2212yescomplemented
156#2537C2212yescomplemented
157#2536C2212yescomplemented
158#2536C2212yescomplemented
159#2536C2214yescomplemented
160#2536C2212yescomplemented
161#2536C2214yescomplemented
162#2536C2212yescomplemented
163#2536C2212yescomplemented
164#2535C2214yescomplemented
165#2535C2212yescomplemented
166#2535C2212yescomplemented
167#2491C2214yes—
168#2488C2214yescomplemented
169#2487C2212yescomplemented
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2479C2214yescomplemented
173#2477C2214yescomplemented
174#2473C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2468C2214yescomplemented
178#2467C2214yescomplemented
179#2464C2214yes—
180#2464C2214yescomplemented
181#2463C2214yescomplemented
182#2463C2214yescomplemented
183#2461C2214yescomplemented
184#2459C2214yescomplemented
185#2456C2214yescomplemented
186#2456C2214yescomplemented
187#2455C2214yescomplemented
188#2449C2214yescomplemented
189#2449C2214yescomplemented
190#2448C2214yescomplemented
191#2445C2214yescomplemented
192#2444C2214yescomplemented
193#2443C2214yescomplemented
194#2443C2214yescomplemented
195#2430C2214yes—
196#2430C2214yescomplemented
197#2428C2214yes—
198#2427C2214yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2425C2214yescomplemented
202#2425C2214yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2421C2214yescomplemented
208#2418C2214yescomplemented
209#2417C2212yescomplemented
210#2417C2214yescomplemented
211#2417C2214yescomplemented
212#2416C2214yes—
213#2416C2214yes—
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2415C2212yescomplemented
218#2415C2214yescomplemented
219#2414C2212yescomplemented
220#2414C2214yescomplemented
221#2413C2214yescomplemented
222#2412C2214yes—
223#2412C2214yescomplemented
224#2410C2214yes—
225#2409C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2404C2214yescomplemented
229C2×#398C2212yescomplemented
230C2×#394C2212yes—
231#2382C2212yescomplemented
232#2379C2212yescomplemented
233#2361C2214yescomplemented
234#2359C2214yescomplemented
235#2358C2214yes—
236#2355C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240#2339C2214yescomplemented
241#2334C2214yescomplemented
242#2329C2212yescomplemented
243#2325C2212yes—
244#2324C2212yescomplemented
245#2323C2212yescomplemented
246#2323C2212yescomplemented
247#2323C2212yescomplemented
248#2317C2212yescomplemented
249#2314C2212yescomplemented
250#2311C2212yescomplemented
251#2311C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#121C2212yescomplemented
254C2×#388C2212yes—
255C2×#388C2212yescomplemented
256#2285C2211yescharacteristic, complemented
257C2×#382C2211yescharacteristic, complemented
258C2×#380C2211yescharacteristic
259C2×#380C2212yescomplemented
260C2×#380C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2314yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2312yes—
271#559—216no—
272#559—28no—
273Q82—28no—
274#554—216no—
275#554—28no—
276#550—28no—
277#548—216no—
278#547—232no—
279#547—216no—
280#546—416no—
281#543—28no—
282#542—232no—
283#542—216no—
284#539—216no—
285#539—216no—
286#539—216no—
287#538—216no—
288#538—216no—
289#538—28no—
290#538—28no—
291#537—48no—
292#535—48no—
293#534—216no—
294#534—28no—
295#532—216no—
296#532—28no—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2314yes—
301C2×#127C2311yescharacteristic
302C2×#127C2312yes—
303C2×#127C2314yes—
304#529—216no—
305#529—216no—
306#529—216no—
307#529—28no—
308#529D4116yescomplemented
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2311yescharacteristic
332#525—216no—
333#525—216no—
334#525—216no—
335#525—48no—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×C22⋊Q8—44no—
356C2×C22⋊Q8—44no—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#120C2314yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422#520—216no—
423C2×C4×Q8—28no—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×D4—216no—
435C2×C4×D4—28no—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C22⋊C4C2312yes—
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C22⋊C4C2312yes—
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2312yes—
489C22×C22⋊C4C2312yes—
490C22×C22⋊C4C2314yes—
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
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#394C2314yes—
560#394C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#391C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
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#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#381C2314yes—
713#381C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#379C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C2×#95C2312yes—
751C2×#95C2312yes—
752C2×#95C2314yes—
753C2×#95C2312yes—
754C2×#95C2312yes—
755C25C2411yescharacteristic
756C25C2412yes—
757C25C2411yescharacteristic
758C2×#41—28no—
759C2×#41—216no—
760C2×#41—28no—
761C2×#41—28no—
762C2×#41—28no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—48no—
767C2×#41—44no—
768C2×#41—48no—
769C2×#41—44no—
770C22×Q8—24no—
771C22×Q8—24no—
772C22×Q8—42no—
773C22×Q8C2411yescharacteristic
774C22×Q8C2412yes—
775C22×Q8C2411yescharacteristic
776C22×Q8C2411yescharacteristic
777C22×Q8C2412yes—
778C22×Q8C2414yes—
779C22×Q8C2412yes—
780C22×Q8C2411yescharacteristic
781C22×D4—24no—
782C22×D4—28no—
783C22×D4—28no—
784C22×D4—24no—
785C22×D4—42no—
786C22×D4—44no—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2412yes—
800C22×D4C2411yescharacteristic
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2411yescharacteristic
812C23×C4—24no—
813C23×C4—24no—
814C23×C4—28no—
815C23×C4—42no—
816C23×C4—42no—
817C23×C4—44no—
818C23×C4—42no—
819C23×C4—42no—
820C23×C4—44no—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C4⋊Q8—28no—
847C4⋊Q8—216no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850#127—28no—
851#127—24no—
852#127—48no—
853#126—28no—
854#126—28no—
855#126—28no—
856#126—216no—
857#126—28no—
858#126—28no—
859#126C2×D4116yes—
860#125—28no—
861#125—28no—
862#125—28no—
863#125—24no—
864#125C2×D418yes—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—216no—
869#124—216no—
870#124—24no—
871#124—28no—
872#124—28no—
873#124—48no—
874#124—48no—
875#124C2×D418yes—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123—28no—
881#123—28no—
882#123—216no—
883#123—28no—
884#123—28no—
885#123—28no—
886#123—28no—
887#123—28no—
888#123—216no—
889#123—216no—
890#123—216no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123C2×D4116yes—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—24no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—216no—
907C22⋊Q8—216no—
908C22⋊Q8—216no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—216no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8C2×D418yes—
920#121—28no—
921#121—28no—
922#121—216no—
923#121—28no—
924#121—24no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—28no—
933#121—216no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—48no—
948#121—48no—
949#121C2×D418yes—
950#120—216no—
951#120—28no—
952#120—28no—
953#120—28no—
954#120—28no—
955#120—28no—
956#120—28no—
957#120—48no—
958#120—48no—
959#120—48no—
960C4×Q8—28no—
961C4×Q8—24no—
962C4×Q8—28no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—24no—
969C4×Q8C2×D418yes—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—216no—
981C4×D4—216no—
982C4×D4—216no—
983C4×D4—28no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—24no—
992C4×D4—28no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4C2×D4116yes—
998C4×D4C2×D418yes—
999#117—216no—
1000#117—28no—
1001#117—28no—
1002#117—44no—
1003#117—44no—
1004#117C2×D4116yes—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—28no—
1010C2×C4⋊C4—216no—
1011C2×C4⋊C4—42no—
1012C2×C4⋊C4—42no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C22⋊C4—28no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—28no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4—44no—
1079C2×C22⋊C4—48no—
1080C2×C22⋊C4—44no—
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⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C42—28no—
1145C2×C42—28no—
1146C2×C42C2×D418yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
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—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—24no—
1200C24—24no—
1201C24—22no—
1202C24—22no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—42no—
1208C24—42no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24H(5,𝔽2)14yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2511yescharacteristic
1223#41—432no—
1224#41—816no—
1225#41—816no—
1226#41—832no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—28no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—42no—
1239C2×Q8—41no—
1240C2×Q8—41no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×Q8—42no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—416no—
1250C2×Q8C22×D414yes—
1251C2×Q8H(5,𝔽2)14yes—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—416no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—432no—
1327C2×D4C22×D418yes—
1328C2×D4C22×D414yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—28no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—28no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—88no—
1401C22×C4—88no—
1402C22×C4—816no—
1403C22×C4C22×D414yes—
1404C22×C4C22×D414yes—
1405C22×C4C22×D418yes—
1406C22×C4C22×D414yes—
1407C22×C4C2514yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2514yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4C22×D418yes—
1481C4⋊C4C22×D418yes—
1482C4⋊C4C22×D418yes—
1483C4⋊C4C22×D414yes—
1484C4⋊C4C22×D414yes—
1485C4⋊C4C22×D418yes—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4C22×D418yes—
1545C22⋊C4C22×D418yes—
1546C22⋊C4C22×D418yes—
1547C22⋊C4C22×D418yes—
1548C22⋊C4C22×D418yes—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—28no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C42—44no—
1561C42C22×D418yes—
1562C42C22×D414yes—
1563C42C22×D414yes—
1564C42C22×D414yes—
1565C42C22×D414yes—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—28no—
1583C23—24no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—24no—
1597C23—22no—
1598C23—24no—
1599C23—24no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—44no—
1605C23—44no—
1606C23—48no—
1607C23—44no—
1608C23—44no—
1609C23—48no—
1610C23—44no—
1611C23—82no—
1612C23—82no—
1613C23—84no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23C23×D414yes—
1625C23C23×D412yes—
1626C23C2×H(5,𝔽2)14yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23#58512yes—
1629C23C2611yescharacteristic
1630Q8—28no—
1631Q8—44no—
1632Q8—48no—
1633Q8—44no—
1634Q8—82no—
1635Q8—84no—
1636Q8—84no—
1637Q8—88no—
1638D4—216no—
1639D4—44no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—416no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—416no—
1648D4—48no—
1649D4—82no—
1650D4—84no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—88no—
1655D4—88no—
1656D4—84no—
1657D4—84no—
1658D4—88no—
1659D4—88no—
1660D4—164no—
1661D4—164no—
1662D4—164no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—216no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—44no—
1724C2×C4—416no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—82no—
1741C2×C4—84no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—164no—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D414yes—
1748C2×C4C23×D414yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C23×D414yes—
1753C2×C4C23×D412yes—
1754C2×C4C2×H(5,𝔽2)14yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—24no—
1767C22—24no—
1768C22—24no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—88no—
1799C22—88no—
1800C22—816no—
1801C22#348814yes—
1802C22C24×D411yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C222−1+611yescharacteristic
1808C222−1+611yescharacteristic
1809C4—24no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—24no—
1814C4—24no—
1815C4—22no—
1816C4—22no—
1817C4—24no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—44no—
1826C4—42no—
1827C4—44no—
1828C4—44no—
1829C4—44no—
1830C4—44no—
1831C4#348814yes—
1832C2—24no—
1833C2—44no—
1834C2—44no—
1835C2—84no—
1836C2—82no—
1837C2—82no—
1838C2C2×#348811yescharacteristic
1839C2C2×#348811yescharacteristic
1840C2#6285911yescharacteristic
1841C2#6289511yescharacteristic
1842C2#6289711yescharacteristic
1843C2#6290111yescharacteristic
1844C2#6290711yescharacteristic
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×#3522C2semidirect
2. C2×#3459C2semidirect
3. #50865C2semidirect
4. #50643C2semidirect
5. #47686C2semidirect
6. #47682C2semidirect
7. #43974C2semidirect
8. #43904C2semidirect
9. #39130C2semidirect
10. #39125C2semidirect
11. #37839C2semidirect
12. #37838C2semidirect
13. #37770C2semidirect
14. #37754C2semidirect
15. #37697C2semidirect
16. #37678C2semidirect
17. #37657C2semidirect
18. #37649C2semidirect
19. #37554C2semidirect
20. #37280C2semidirect
21. #37271C2semidirect
22. #36153C2semidirect
23. #36097C2semidirect
24. #35520C2semidirect
25. #35518C2semidirect
26. #35247C2semidirect
27. #35165C2semidirect
28. C2×#2536C2semidirect
29. #34382C2semidirect
31. C2×#559C22semidirect
32. C2×#559C22semidirect
33. C2×Q82C22semidirect
34. C2×#554C22semidirect
35. C2×#554C22semidirect
36. C2×#550C22semidirect
37. C2×#548C22semidirect
38. C2×#547C22semidirect
39. C2×#547C22semidirect
43. C2×#542C22semidirect
44. C2×#542C22semidirect
52. C2×#537C22semidirect
57. C2×#532C22semidirect
62. C2×#529C22semidirect
66. C2×#525C22semidirect
68. C22×C22⋊Q8C22semidirect
69. C2×#520C22semidirect
70. C22×C4×Q8C22semidirect
73. #2857C22semidirect
74. #2855C22semidirect
76. #2850C22semidirect
77. #2848C22semidirect
79. #2847C22semidirect
80. #2847C22semidirect
81. #2820C22semidirect
82. #2819C22semidirect
83. #2733C22semidirect
84. #2730C22semidirect
85. #2727C22semidirect
86. #2723C22semidirect
87. #2716C22semidirect
88. #2716C22semidirect
89. #2714C22semidirect
90. #2712C22semidirect
91. #2710C22semidirect
92. #2706C22semidirect
93. #2706C22semidirect
94. #2704C22semidirect
95. #2703C22semidirect
96. #2702C22semidirect
97. #2696C22semidirect
98. #2695C22semidirect
99. #2694C22semidirect
100. #2694C22semidirect
101. #2692C22semidirect
102. #2692C22semidirect
103. #2690C22semidirect
104. #2687C22semidirect
105. #2683C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2678C22semidirect
111. #2676C22semidirect
112. #2674C22semidirect
113. #2674C22semidirect
115. #2673C22semidirect
117. #2672C22semidirect
118. #2672C22semidirect
120. #2670C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
124. #2639C22semidirect
125. #2637C22semidirect
126. #2636C22semidirect
127. #2628C22semidirect
128. #2628C22semidirect
129. #2620C22semidirect
130. #2619C22semidirect
132. #2617C22semidirect
133. #2616C22semidirect
134. #2615C22semidirect
135. #2592C22semidirect
136. #2584C22semidirect
137. #2582C22semidirect
138. #2582C22semidirect
139. #2580C22semidirect
140. #2563C22semidirect
141. #2554C22semidirect
142. #2550C22semidirect
143. #2549C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2544C22semidirect
147. #2541C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2539C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2537C22semidirect
157. #2536C22semidirect
158. #2536C22semidirect
159. #2536C22semidirect
160. #2536C22semidirect
161. #2536C22semidirect
162. #2536C22semidirect
163. #2536C22semidirect
164. #2535C22semidirect
165. #2535C22semidirect
166. #2535C22semidirect
168. #2488C22semidirect
169. #2487C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2479C22semidirect
173. #2477C22semidirect
174. #2473C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2468C22semidirect
178. #2467C22semidirect
180. #2464C22semidirect
181. #2463C22semidirect
182. #2463C22semidirect
183. #2461C22semidirect
184. #2459C22semidirect
185. #2456C22semidirect
186. #2456C22semidirect
187. #2455C22semidirect
188. #2449C22semidirect
189. #2449C22semidirect
190. #2448C22semidirect
191. #2445C22semidirect
192. #2444C22semidirect
193. #2443C22semidirect
194. #2443C22semidirect
196. #2430C22semidirect
198. #2427C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
201. #2425C22semidirect
202. #2425C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2421C22semidirect
208. #2418C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2413C22semidirect
223. #2412C22semidirect
225. #2409C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2404C22semidirect
229. C2×#398C22semidirect
231. #2382C22semidirect
232. #2379C22semidirect
233. #2361C22semidirect
234. #2359C22semidirect
236. #2355C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. D4×C4⋊C4C22semidirect
240. #2339C22semidirect
241. #2334C22semidirect
242. #2329C22semidirect
244. #2324C22semidirect
245. #2323C22semidirect
246. #2323C22semidirect
247. #2323C22semidirect
248. #2317C22semidirect
249. #2314C22semidirect
250. #2311C22semidirect
251. #2311C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×#121C22semidirect
255. C2×#388C22semidirect
256. #2285C22semidirect
257. C2×#382C22semidirect
259. C2×#380C22semidirect
260. C2×#380C22semidirect
308. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34592
#508652
#506432
#476862
#476822
#439742
#439042
#391302
#391252
#378392
#378382
#377702
#377542
#376972
#376782
#376572
#376492
#375542
#372802
#372712
#361532
#360972
#355202
#355182
#352472
#351652
C2×#25362
#343822