Finite Group Databasebeta

← #7732285

Subgroups — #7732285

Order 512.

7554 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#47873C214yesmaximal, complemented
4#47870C214yesmaximal, complemented
5#46831C214yesmaximal, complemented
6#46381C214yesmaximal, complemented
7#43021C214yesmaximal, complemented
8#43017C214yesmaximal, complemented
9#39422C212yesmaximal, complemented
10#39413C212yesmaximal, complemented
11#39384C212yesmaximal, complemented
12#39354C212yesmaximal, complemented
13#38921C212yesmaximal, complemented
14#38902C212yesmaximal, complemented
15#38041C212yesmaximal, complemented
16#38025C212yesmaximal, complemented
17#37838C212yesmaximal, complemented
18#37658C212yesmaximal, complemented
19#37442C211yesmaximal, characteristic, complemented
20#37280C212yesmaximal, complemented
21#37268C212yesmaximal, complemented
22#36153C212yesmaximal, complemented
23#36097C212yesmaximal, complemented
24#35569C212yesmaximal, complemented
25#35518C212yesmaximal, complemented
26#35252C211yesmaximal, characteristic, complemented
27#35000C211yesmaximal, characteristic, complemented
28C2×#2415C211yesmaximal, characteristic, complemented
29#34202C211yesmaximal, characteristic, complemented
30#3536—216no—
31C2×#562C2214yescomplemented
32C2×#554C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#547C2212yescomplemented
35C2×#546C2214yescomplemented
36C2×#546C2212yescomplemented
37C2×#546C2214yescomplemented
38#3459—216no—
39C2×#543C2212yescomplemented
40C2×#543C2211yescharacteristic, complemented
41C2×#542C2212yescomplemented
42C2×#539C2212yes—
43C2×#539C2212yescomplemented
44C2×#539C2211yescharacteristic, complemented
45C2×#539C2211yescharacteristic, complemented
46C2×#539C2212yescomplemented
47C2×#538C2212yes—
48C2×#538C2212yes—
49C2×#538C2212yescomplemented
50C2×#538C2212yescomplemented
51C2×#537C2212yes—
52C2×#537C2212yescomplemented
53C2×#535C2211yescharacteristic, complemented
54C2×#534C2212yes—
55C2×#534C2212yes—
56C2×#534C2211yescharacteristic, complemented
57C2×#529C2212yes—
58C2×#529C2212yescomplemented
59C2×#529C2212yescomplemented
60C2×#525C2212yes—
61C2×#525C2211yescharacteristic
62C2×#525C2211yescharacteristic
63C2×#525C2212yescomplemented
64C2×#525C2212yescomplemented
65C22×C22⋊Q8C2211yescharacteristic, complemented
66C22×C22⋊Q8C2211yescharacteristic, complemented
67C22×#121C2211yescharacteristic, complemented
68C2×#520C2211yescharacteristic, complemented
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2212yescomplemented
71C22×#117C2211yescharacteristic, complemented
72#2857C2212yescomplemented
73#2856C2212yes—
74#2854C2212yescomplemented
75#2850C2212yescomplemented
76#2850C2212yescomplemented
77#2848C2212yescomplemented
78#2847C2212yes—
79#2847C2212yescomplemented
80#2814C2214yescomplemented
81#2732C2214yescomplemented
82#2728C2214yescomplemented
83#2727C2214yescomplemented
84#2723C2214yescomplemented
85#2720C2214yescomplemented
86#2718C2214yescomplemented
87#2715C2214yescomplemented
88#2712C2214yescomplemented
89#2712C2214yescomplemented
90#2710C2214yescomplemented
91#2708C2214yescomplemented
92#2704C2214yescomplemented
93#2704C2214yescomplemented
94#2702C2214yescomplemented
95#2702C2214yescomplemented
96#2701C2214yescomplemented
97#2698C2214yescomplemented
98#2698C2214yescomplemented
99#2696C2214yescomplemented
100#2695C2214yescomplemented
101#2694C2214yescomplemented
102#2694C2214yescomplemented
103#2690C2214yescomplemented
104#2688C2214yescomplemented
105#2687C2214yescomplemented
106#2684C2214yescomplemented
107#2681C2214yescomplemented
108#2680C2214yescomplemented
109#2680C2214yescomplemented
110#2679C2214yescomplemented
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2672C2214yes—
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2669C2214yescomplemented
119#2668C2214yes—
120#2668C2214yescomplemented
121#2659C2212yescomplemented
122#2639C2212yescomplemented
123#2628C2212yescomplemented
124#2627C2212yescomplemented
125#2625C2212yescomplemented
126#2625C2212yescomplemented
127#2624C2212yescomplemented
128#2620C2212yescomplemented
129#2620C2212yescomplemented
130#2619C2212yescomplemented
131#2618C2212yescomplemented
132#2618C2212yescomplemented
133#2617C2212yes—
134#2616C2212yescomplemented
135#2592C2212yescomplemented
136#2582C2212yescomplemented
137#2580C2212yescomplemented
138#2567C2212yescomplemented
139#2560C2214yescomplemented
140#2559C2214yescomplemented
141#2557C2214yescomplemented
142#2556C2214yescomplemented
143#2555C2214yescomplemented
144#2552C2214yescomplemented
145#2549C2214yescomplemented
146#2547C2212yescomplemented
147#2543C2214yescomplemented
148#2543C2214yescomplemented
149#2540C2212yescomplemented
150#2538C2214yescomplemented
151#2537C2214yescomplemented
152#2537C2212yescomplemented
153#2536C2212yescomplemented
154#2536C2214yescomplemented
155#2535C2214yescomplemented
156#2534C2214yescomplemented
157#2521C2214yescomplemented
158#2512C2214yescomplemented
159#2501C2214yescomplemented
160#2489C2214yescomplemented
161#2488C2214yescomplemented
162#2487C2212yescomplemented
163#2486C2212yescomplemented
164#2486C2212yescomplemented
165#2486C2212yescomplemented
166#2480C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2464C2214yescomplemented
170#2463C2214yescomplemented
171#2461C2214yescomplemented
172#2461C2214yescomplemented
173#2461C2214yescomplemented
174#2450C2214yescomplemented
175#2449C2214yescomplemented
176#2447C2214yescomplemented
177#2445C2214yescomplemented
178#2444C2214yescomplemented
179#2443C2214yescomplemented
180#2430C2214yescomplemented
181#2427C2214yescomplemented
182#2425C2214yescomplemented
183#2425C2214yescomplemented
184#2425C2214yescomplemented
185#2425C2214yescomplemented
186#2425C2214yescomplemented
187#2425C2214yescomplemented
188#2424C2214yes—
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2422C2214yes—
192#2422C2214yescomplemented
193#2418C2214yescomplemented
194#2418C2214yescomplemented
195#2418C2214yescomplemented
196#2417C2214yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2415C2212yescomplemented
206#2415C2214yescomplemented
207#2415C2212yescomplemented
208#2415C2214yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2411C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2409C2212yescomplemented
222#2408C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2406C2214yescomplemented
226C2×#397C2212yescomplemented
227C2×#394C2212yes—
228#2361C2214yescomplemented
229#2359C2214yescomplemented
230#2358C2214yescomplemented
231#2358C2214yescomplemented
232#2354C2212yescomplemented
233#2352C2212yescomplemented
234#2352C2212yescomplemented
235D4×C4⋊C4C2212yescomplemented
236#2339C2214yescomplemented
237#2324C2212yescomplemented
238#2324C2212yescomplemented
239#2323C2212yescomplemented
240#2323C2212yescomplemented
241#2317C2211yescharacteristic, complemented
242#2317C2212yescomplemented
243#2317C2211yescharacteristic, complemented
244#2311C2212yescomplemented
245#2311C2211yescharacteristic, complemented
246#2311C2211yescharacteristic, complemented
247#2309C2211yescharacteristic, complemented
248#2308C2212yescomplemented
249C4×C22⋊Q8C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C2×#391C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255C2×#389C2212yescomplemented
256C2×#388C2212yescomplemented
257C2×#380C2211yescharacteristic, complemented
258C2×#380C2212yescomplemented
259C2×#380C2211yescharacteristic, complemented
260#2274C2211yescharacteristic, complemented
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2314yes—
264C22×#41C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272C24×C4C2311yescharacteristic
273#562—232no—
274#554—216no—
275#548—216no—
276#547—216no—
277#546—232no—
278#546—216no—
279#546—416no—
280#543—28no—
281#543—216no—
282#542—216no—
283#539—216no—
284#539—216no—
285#539—28no—
286#539—216no—
287#539—28no—
288#538—216no—
289#538—216no—
290#538—216no—
291#538—216no—
292#537—216no—
293#537—216no—
294#535—44no—
295#534—28no—
296#534—216no—
297#534—48no—
298C2×C4⋊Q8C2312yes—
299C2×#127C2312yes—
300#529—216no—
301#529—216no—
302#529—216no—
303C2×#126C2314yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322#525—216no—
323#525—28no—
324#525—216no—
325#525—48no—
326#525D4116yescomplemented
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×C22⋊Q8—28no—
349C2×C22⋊Q8—44no—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2311yescharacteristic
377C2×C22⋊Q8C2311yescharacteristic
378C2×#121—28no—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2311yescharacteristic
409C2×#121C2311yescharacteristic
410C2×#120C2314yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2312yes—
422#520—44no—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×D4—28no—
427C2×C4×D4—216no—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×#117—44no—
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2312yes—
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2312yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2312yes—
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2314yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#395C2314yes—
539#395C2314yes—
540#395C2314yes—
541#395C2314yes—
542#395C2314yes—
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#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#391C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
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#388C2314yes—
649#388C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
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#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
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#384C2314yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C2×#95C2312yes—
749C2×#95C2314yes—
750C2×#95C2312yes—
751C2×#95C2312yes—
752C2×#95C2312yes—
753C2×#95C2312yes—
754C25C2412yes—
755C25C2411yescharacteristic
756C25C2411yescharacteristic
757C25C2412yes—
758C2×#41—216no—
759C2×#41—24no—
760C2×#41—28no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—42no—
764C2×#41—42no—
765C2×#41—48no—
766C2×#41—48no—
767C2×#41—44no—
768C2×#41—44no—
769C2×#41C2×D418yes—
770C22×Q8—24no—
771C22×Q8—42no—
772C22×Q8—42no—
773C22×Q8C2412yes—
774C22×Q8C2412yes—
775C22×Q8C2412yes—
776C22×Q8C2411yescharacteristic
777C22×Q8C2414yes—
778C22×Q8C2411yescharacteristic
779C22×D4—24no—
780C22×D4—24no—
781C22×D4—28no—
782C22×D4—28no—
783C22×D4—28no—
784C22×D4—24no—
785C22×D4—42no—
786C22×D4—42no—
787C22×D4—42no—
788C22×D4—44no—
789C22×D4—44no—
790C22×D4—44no—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2411yescharacteristic
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2414yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C23×C4—24no—
815C23×C4—28no—
816C23×C4—42no—
817C23×C4—42no—
818C23×C4—42no—
819C23×C4—44no—
820C23×C4—42no—
821C23×C4—44no—
822C23×C4C2×D418yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C4⋊Q8—28no—
853#127—44no—
854#126—28no—
855#126—28no—
856#126—216no—
857#126—28no—
858#126—28no—
859#126—28no—
860#126—28no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—216no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—216no—
869#124—216no—
870#124—28no—
871#124—44no—
872#124—48no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—216no—
880#123—28no—
881#123—28no—
882#123—28no—
883#123—28no—
884#123—28no—
885#123—216no—
886#123—216no—
887#123—216no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893#123C2×D4116yes—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—216no—
908C22⋊Q8—216no—
909C22⋊Q8—216no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—216no—
914C22⋊Q8—216no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8C2×D418yes—
921C22⋊Q8C2×D418yes—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—216no—
928#121—216no—
929#121—216no—
930#121—216no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—24no—
936#121—24no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—216no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—48no—
950#121—48no—
951#121C2×D418yes—
952#121C2×D418yes—
953#120—28no—
954#120—216no—
955#120—28no—
956#120—28no—
957#120—28no—
958#120—216no—
959#120—28no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120C2×D4116yes—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—44no—
968C4×D4—28no—
969C4×D4—216no—
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—28no—
981C4×D4—216no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—44no—
985C4×D4—48no—
986C4×D4—48no—
987C4×D4—48no—
988C4×D4—48no—
989C4×D4—48no—
990C4×D4C2×D4116yes—
991C4×D4C2×D4116yes—
992#117—28no—
993#117—24no—
994#117—24no—
995#117—24no—
996#117—28no—
997#117—28no—
998#117—44no—
999#117—44no—
1000#117—42no—
1001#117—42no—
1002#117C2×D418yes—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—28no—
1006C2×C4⋊C4—24no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—42no—
1011C2×C4⋊C4—42no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—42no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—28no—
1073C2×C22⋊C4—28no—
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—28no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—28no—
1078C2×C22⋊C4—216no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C42—24no—
1150C2×C42—28no—
1151C2×C42—44no—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
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—
1196#95C2414yes—
1197#95C2414yes—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—24no—
1203C24—24no—
1204C24—24no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—42no—
1210C24—42no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24C22×D414yes—
1225C24H(5,𝔽2)14yes—
1226C24C2514yes—
1227C24C2512yes—
1228C24C2511yescharacteristic
1229C24C2511yescharacteristic
1230C24C2512yes—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233#41—416no—
1234#41—88no—
1235#41—816no—
1236#41—832no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—28no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—42no—
1247C2×Q8—44no—
1248C2×Q8—41no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—41no—
1253C2×Q8—44no—
1254C2×Q8—88no—
1255C2×Q8C22×D414yes—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—41no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—41no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—41no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—41no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—432no—
1322C2×D4—416no—
1323C2×D4—88no—
1324C2×D4—816no—
1325C2×D4C22×D418yes—
1326C2×D4C22×D418yes—
1327C2×D4C22×D414yes—
1328C2×D4C22×D418yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
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—24no—
1363C22×C4—28no—
1364C22×C4—28no—
1365C22×C4—24no—
1366C22×C4—416no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—41no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—42no—
1410C22×C4—88no—
1411C22×C4—816no—
1412C22×C4C22×D414yes—
1413C22×C4C22×D418yes—
1414C22×C4C22×D414yes—
1415C22×C4C22×D414yes—
1416C22×C4C22×D414yes—
1417C22×C4C22×D414yes—
1418C22×C4C22×D414yes—
1419C22×C4C2514yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2514yes—
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4C22×D418yes—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D414yes—
1494C4⋊C4C22×D418yes—
1495C4⋊C4H(5,𝔽2)14yes—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
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⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4C22×D418yes—
1558C22⋊C4C22×D418yes—
1559C22⋊C4C22×D418yes—
1560C22⋊C4C22×D418yes—
1561C22⋊C4C22×D418yes—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—28no—
1568C42—24no—
1569C42—24no—
1570C42—28no—
1571C42—42no—
1572C42—42no—
1573C42—44no—
1574C42—44no—
1575C42C22×D418yes—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—21no—
1604C23—28no—
1605C23—28no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—24no—
1615C23—24no—
1616C23—24no—
1617C23—24no—
1618C23—22no—
1619C23—22no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—48no—
1625C23—48no—
1626C23—48no—
1627C23—82no—
1628C23—84no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—82no—
1634C23—82no—
1635C23—82no—
1636C23—84no—
1637C23—84no—
1638C23—84no—
1639C23—84no—
1640C23—84no—
1641C23—84no—
1642C23—162no—
1643C23—162no—
1644C23—162no—
1645C23—162no—
1646C23C23×D412yes—
1647C23C23×D412yes—
1648C23C23×D414yes—
1649C23C23×D412yes—
1650C23C2×H(5,𝔽2)14yes—
1651C23C2×H(5,𝔽2)12yes—
1652C23#58512yes—
1653C23C2611yescharacteristic
1654Q8—44no—
1655Q8—48no—
1656Q8—84no—
1657Q8—84no—
1658Q8—82no—
1659Q8—88no—
1660D4—216no—
1661D4—48no—
1662D4—44no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—48no—
1668D4—48no—
1669D4—416no—
1670D4—48no—
1671D4—88no—
1672D4—84no—
1673D4—82no—
1674D4—84no—
1675D4—84no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—84no—
1680D4—88no—
1681D4—88no—
1682D4—164no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—28no—
1698C2×C4—28no—
1699C2×C4—28no—
1700C2×C4—216no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—48no—
1747C2×C4—48no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—84no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—88no—
1757C2×C4—88no—
1758C2×C4—82no—
1759C2×C4—84no—
1760C2×C4—82no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—88no—
1765C2×C4—164no—
1766C2×C4—162no—
1767C2×C4—162no—
1768C2×C4C23×D414yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D412yes—
1772C2×C4C23×D414yes—
1773C2×C4C23×D412yes—
1774C2×C4C23×D412yes—
1775C2×C4C2×H(5,𝔽2)14yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4#58512yes—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—24no—
1787C22—24no—
1788C22—24no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—24no—
1793C22—22no—
1794C22—24no—
1795C22—24no—
1796C22—42no—
1797C22—42no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—42no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—44no—
1814C22—44no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—44no—
1823C22—42no—
1824C22—42no—
1825C22—44no—
1826C22—88no—
1827C22—88no—
1828C22—816no—
1829C22—168no—
1830C22#348814yes—
1831C22C24×D411yescharacteristic
1832C22C22×H(5,𝔽2)11yescharacteristic
1833C22C22×H(5,𝔽2)11yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22C2×#58511yescharacteristic
1836C222−1+611yescharacteristic
1837C222−1+611yescharacteristic
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—24no—
1842C4—24no—
1843C4—24no—
1844C4—24no—
1845C4—42no—
1846C4—42no—
1847C4—44no—
1848C4—44no—
1849C4—42no—
1850C4—42no—
1851C4—44no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—42no—
1858C4—44no—
1859C4#349614yes—
1860C2—24no—
1861C2—42no—
1862C2—44no—
1863C2—44no—
1864C2—42no—
1865C2—82no—
1866C2—84no—
1867C2C2×#349611yescharacteristic
1868C2C2×#348811yescharacteristic
1869C2#6285911yescharacteristic
1870C2#6289511yescharacteristic
1871C2#6289811yescharacteristic
1872C2#6290111yescharacteristic
1873C2#6291111yescharacteristic
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×#3536C2semidirect
2. C2×#3459C2semidirect
3. #47873C2semidirect
4. #47870C2semidirect
5. #46831C2semidirect
6. #46381C2semidirect
7. #43021C2semidirect
8. #43017C2semidirect
9. #39422C2semidirect
10. #39413C2semidirect
11. #39384C2semidirect
12. #39354C2semidirect
13. #38921C2semidirect
14. #38902C2semidirect
15. #38041C2semidirect
16. #38025C2semidirect
17. #37838C2semidirect
18. #37658C2semidirect
19. #37442C2semidirect
20. #37280C2semidirect
21. #37268C2semidirect
22. #36153C2semidirect
23. #36097C2semidirect
24. #35569C2semidirect
25. #35518C2semidirect
26. #35252C2semidirect
27. #35000C2semidirect
28. C2×#2415C2semidirect
29. #34202C2semidirect
31. C2×#562C22semidirect
32. C2×#554C22semidirect
33. C2×#548C22semidirect
34. C2×#547C22semidirect
35. C2×#546C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
39. C2×#543C22semidirect
40. C2×#543C22semidirect
41. C2×#542C22semidirect
43. C2×#539C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
46. C2×#539C22semidirect
49. C2×#538C22semidirect
50. C2×#538C22semidirect
52. C2×#537C22semidirect
53. C2×#535C22semidirect
56. C2×#534C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
63. C2×#525C22semidirect
64. C2×#525C22semidirect
65. C22×C22⋊Q8C22semidirect
66. C22×C22⋊Q8C22semidirect
67. C22×#121C22semidirect
68. C2×#520C22semidirect
70. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
72. #2857C22semidirect
74. #2854C22semidirect
75. #2850C22semidirect
76. #2850C22semidirect
77. #2848C22semidirect
79. #2847C22semidirect
80. #2814C22semidirect
81. #2732C22semidirect
82. #2728C22semidirect
83. #2727C22semidirect
84. #2723C22semidirect
85. #2720C22semidirect
86. #2718C22semidirect
87. #2715C22semidirect
88. #2712C22semidirect
89. #2712C22semidirect
90. #2710C22semidirect
91. #2708C22semidirect
92. #2704C22semidirect
93. #2704C22semidirect
94. #2702C22semidirect
95. #2702C22semidirect
96. #2701C22semidirect
97. #2698C22semidirect
98. #2698C22semidirect
99. #2696C22semidirect
100. #2695C22semidirect
101. #2694C22semidirect
102. #2694C22semidirect
103. #2690C22semidirect
104. #2688C22semidirect
105. #2687C22semidirect
106. #2684C22semidirect
107. #2681C22semidirect
108. #2680C22semidirect
109. #2680C22semidirect
110. #2679C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2669C22semidirect
120. #2668C22semidirect
121. #2659C22semidirect
122. #2639C22semidirect
123. #2628C22semidirect
124. #2627C22semidirect
125. #2625C22semidirect
126. #2625C22semidirect
127. #2624C22semidirect
128. #2620C22semidirect
129. #2620C22semidirect
130. #2619C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
134. #2616C22semidirect
135. #2592C22semidirect
136. #2582C22semidirect
137. #2580C22semidirect
138. #2567C22semidirect
139. #2560C22semidirect
140. #2559C22semidirect
141. #2557C22semidirect
142. #2556C22semidirect
143. #2555C22semidirect
144. #2552C22semidirect
145. #2549C22semidirect
146. #2547C22semidirect
147. #2543C22semidirect
148. #2543C22semidirect
149. #2540C22semidirect
150. #2538C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2536C22semidirect
154. #2536C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2521C22semidirect
158. #2512C22semidirect
159. #2501C22semidirect
160. #2489C22semidirect
161. #2488C22semidirect
162. #2487C22semidirect
163. #2486C22semidirect
164. #2486C22semidirect
165. #2486C22semidirect
166. #2480C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2464C22semidirect
170. #2463C22semidirect
171. #2461C22semidirect
172. #2461C22semidirect
173. #2461C22semidirect
174. #2450C22semidirect
175. #2449C22semidirect
176. #2447C22semidirect
177. #2445C22semidirect
178. #2444C22semidirect
179. #2443C22semidirect
180. #2430C22semidirect
181. #2427C22semidirect
182. #2425C22semidirect
183. #2425C22semidirect
184. #2425C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
192. #2422C22semidirect
193. #2418C22semidirect
194. #2418C22semidirect
195. #2418C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2415C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2411C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2409C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2406C22semidirect
226. C2×#397C22semidirect
228. #2361C22semidirect
229. #2359C22semidirect
230. #2358C22semidirect
231. #2358C22semidirect
232. #2354C22semidirect
233. #2352C22semidirect
234. #2352C22semidirect
235. D4×C4⋊C4C22semidirect
236. #2339C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
240. #2323C22semidirect
241. #2317C22semidirect
242. #2317C22semidirect
243. #2317C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2309C22semidirect
248. #2308C22semidirect
249. C4×C22⋊Q8C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C2×#391C22semidirect
254. C2×#389C22semidirect
255. C2×#389C22semidirect
256. C2×#388C22semidirect
257. C2×#380C22semidirect
258. C2×#380C22semidirect
259. C2×#380C22semidirect
260. #2274C22semidirect
326. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
C2×#34592
#478732
#478702
#468312
#463812
#430212
#430172
#394222
#394132
#393842
#393542
#389212
#389022
#380412
#380252
#378382
#376582
#374422
#372802
#372682
#361532
#360972
#355692
#355182
#352522
#350002
C2×#24152
#342022