Finite Group Databasebeta

← #7714754

Subgroups — #7714754

Order 512.

7832 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic, complemented
2C22×#536C211yesmaximal, characteristic, complemented
3#51746C214yesmaximal, complemented
4#51538C214yesmaximal, complemented
5#51525C214yesmaximal, complemented
6#51524C214yesmaximal, complemented
7#46430C212yesmaximal, complemented
8#46426C212yesmaximal, complemented
9#46418C214yesmaximal, complemented
10#46369C214yesmaximal, complemented
11#46361C212yesmaximal, complemented
12#46357C212yesmaximal, complemented
13#39465C212yesmaximal, complemented
14#39461C212yesmaximal, complemented
15#39337C212yesmaximal, complemented
16#39333C212yesmaximal, complemented
17#37843C212yesmaximal, complemented
18#37842C212yesmaximal, complemented
19#37655C212yesmaximal, complemented
20#37654C212yesmaximal, complemented
21#37447C211yesmaximal, characteristic, complemented
22#37441C211yesmaximal, characteristic, complemented
23#37186C212yesmaximal, complemented
24#37118C212yesmaximal, complemented
25#35242C212yesmaximal, complemented
26#35149C211yesmaximal, characteristic, complemented
27#35094C212yesmaximal, complemented
28#35088C211yesmaximal, characteristic, complemented
29#34359C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C24×Q8C2211yescharacteristic, complemented
32#3535—216no—
33C2×#563C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#554C2212yescomplemented
36C2×#552C2212yes—
37C2×#551C2212yes—
38C2×#551C2212yescomplemented
39C2×#547C2212yes—
40C2×#546C2212yes—
41C2×#544C2211yescharacteristic, complemented
42C2×#543C2211yescharacteristic, complemented
43C2×#542C2212yescomplemented
44C2×#539C2212yes—
45C2×#539C2211yescharacteristic, complemented
46C2×#539C2212yescomplemented
47C2×#538C2211yescharacteristic, complemented
48C2×#536—216no—
49C2×#536C2212yes—
50C2×#536C2212yes—
51C2×#536C2214yes—
52C2×#536C2212yes—
53C2×#536C2212yes—
54C2×#536C2212yescomplemented
55C2×#536C2214yescomplemented
56C2×#536C2212yescomplemented
57C2×#536C2211yescharacteristic, complemented
58C2×#535C2211yescharacteristic, complemented
59C2×#534C2211yescharacteristic
60C2×#534C2211yescharacteristic
61C22×C4⋊Q8C2212yescomplemented
62C22×#124C2212yes—
63C2×#525C2211yescharacteristic
64C2×#525C2212yes—
65C22×#123C2211yescharacteristic
66C22×#123C2212yes—
67C22×#123C2212yescomplemented
68C22×C22⋊Q8C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C22×C22⋊Q8C2211yescharacteristic, complemented
71C22×C22⋊Q8C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73#2855C2212yescomplemented
74#2854C2212yes—
75#2849C2212yes—
76#2849C2212yes—
77#2849C2212yes—
78#2849C2212yescomplemented
79#2849C2212yescomplemented
80#2849C2212yescomplemented
81#2817C2212yescomplemented
82#2816C2212yescomplemented
83#2814C2214yescomplemented
84#2732C2214yescomplemented
85#2732C2214yescomplemented
86#2730C2214yescomplemented
87#2730C2214yescomplemented
88#2729C2214yescomplemented
89#2729C2214yescomplemented
90#2728C2214yescomplemented
91#2728C2214yescomplemented
92#2723C2214yescomplemented
93#2723C2214yescomplemented
94#2720C2214yescomplemented
95#2720C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2214yescomplemented
98#2715C2214yescomplemented
99#2713C2214yescomplemented
100#2713C2214yescomplemented
101#2712C2214yescomplemented
102#2710C2214yescomplemented
103#2707C2214yescomplemented
104#2706C2214yescomplemented
105#2705C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2696C2214yescomplemented
109#2696C2214yescomplemented
110#2695C2214yescomplemented
111#2694C2214yescomplemented
112#2693C2214yescomplemented
113#2692C2214yescomplemented
114#2692C2214yescomplemented
115#2687C2214yescomplemented
116#2682C2214yescomplemented
117#2681C2214yescomplemented
118#2680C2214yescomplemented
119#2678C2214yescomplemented
120#2677C2214yescomplemented
121#2677C2214yescomplemented
122#2676C2214yescomplemented
123#2674C2214yescomplemented
124#2674C2214yescomplemented
125#2674C2214yescomplemented
126#2674C2214yescomplemented
127#2673C2214yescomplemented
128#2672C2214yescomplemented
129#2672C2214yescomplemented
130#2671C2214yescomplemented
131#2670C2214yescomplemented
132#2663C2214yescomplemented
133#2659C2212yescomplemented
134#2639C2212yescomplemented
135#2638C2214yescomplemented
136#2627C2212yescomplemented
137#2626C2212yescomplemented
138#2626C2212yescomplemented
139#2623C2212yes—
140#2623C2212yescomplemented
141#2617C2212yes—
142#2614C2212yes—
143#2614C2212yes—
144#2614C2212yes—
145#2614C2212yescomplemented
146#2614C2212yescomplemented
147#2613C2212yes—
148#2613C2212yes—
149#2613C2212yes—
150#2583C2212yescomplemented
151#2564C2214yescomplemented
152#2561C2212yescomplemented
153#2561C2212yescomplemented
154#2558C2214yescomplemented
155#2557C2214yescomplemented
156#2557C2214yescomplemented
157#2555C2214yescomplemented
158#2554C2214yescomplemented
159#2553C2214yescomplemented
160#2551C2214yescomplemented
161#2550C2214yescomplemented
162#2539C2212yes—
163#2534C2212yes—
164#2534C2212yescomplemented
165#2521C2214yescomplemented
166#2503C2212yescomplemented
167#2501C2212yes—
168#2492C2214yescomplemented
169#2491C2214yescomplemented
170#2491C2214yescomplemented
171#2486C2212yes—
172#2486C2212yescomplemented
173#2484C2212yescomplemented
174#2484C2212yescomplemented
175#2483C2212yes—
176#2482C2212yescomplemented
177#2479C2214yescomplemented
178#2479C2214yescomplemented
179#2477C2214yescomplemented
180#2477C2214yescomplemented
181#2475C2214yescomplemented
182#2475C2214yescomplemented
183#2474C2214yescomplemented
184#2472C2214yescomplemented
185#2471C2214yescomplemented
186#2471C2214yescomplemented
187#2471C2214yescomplemented
188#2470C2214yescomplemented
189#2464C2214yescomplemented
190#2461C2214yescomplemented
191#2461C2214yescomplemented
192#2459C2214yescomplemented
193#2458C2214yescomplemented
194#2457C2214yescomplemented
195#2456C2214yescomplemented
196#2455C2214yescomplemented
197#2452C2214yescomplemented
198#2451C2214yescomplemented
199#2445C2214yescomplemented
200#2443C2214yescomplemented
201#2440C2214yescomplemented
202#2439C2214yescomplemented
203#2436C2214yescomplemented
204#2436C2214yescomplemented
205#2434C2214yescomplemented
206#2434C2214yescomplemented
207#2432C2212yes—
208#2432C2212yescomplemented
209#2431C2212yes—
210#2431C2212yescomplemented
211#2430C2214yes—
212#2430C2214yes—
213#2422C2214yescomplemented
214#2418C2214yescomplemented
215#2413C2212yes—
216#2413C2212yes—
217#2413C2212yes—
218#2413C2212yescomplemented
219#2412C2212yes—
220#2412C2212yes—
221#2411C2212yes—
222#2411C2212yescomplemented
223#2409C2214yescomplemented
224#2409C2214yescomplemented
225#2409C2214yescomplemented
226#2409C2214yescomplemented
227#2407C2214yes—
228#2407C2214yescomplemented
229#2406C2212yes—
230#2406C2212yes—
231#2406C2212yes—
232#2406C2212yescomplemented
233#2405C2212yes—
234#2404C2212yes—
235#2404C2212yes—
236#2404C2212yes—
237#2378C2214yescomplemented
238#2368C2214yescomplemented
239#2344C2212yescomplemented
240#2344C2212yescomplemented
241#2342C2212yes—
242#2342C2212yes—
243#2332C2212yescomplemented
244#2332C2212yescomplemented
245#2329C2212yescomplemented
246#2329C2212yescomplemented
247#2321C2212yes—
248#2321C2212yescomplemented
249#2313C2212yescomplemented
250#2310C2212yescomplemented
251#2310C2211yescharacteristic, complemented
252#2310C2212yescomplemented
253#2309C2211yescharacteristic, complemented
254#2308C2211yescharacteristic
255#2308C2211yescharacteristic
256C4×#123C2212yes—
257C4×#123C2212yescomplemented
258#2280C2211yescharacteristic
259#2280C2212yescomplemented
260C2×#381C2211yescharacteristic
261C22×#41—28no—
262C22×#41—44no—
263C22×#41—44no—
264C22×#41C2312yes—
265C22×#41C2312yes—
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2311yescharacteristic
270C23×Q8—28no—
271C23×Q8—44no—
272C23×Q8—44no—
273C23×Q8C2312yes—
274C23×Q8C2311yescharacteristic
275C23×Q8C2311yescharacteristic
276C23×Q8C2312yes—
277C23×Q8C2314yes—
278C23×Q8C2312yes—
279C23×Q8C2311yescharacteristic
280C23×D4C2311yescharacteristic
281C23×D4C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C23×D4C2311yescharacteristic
284C24×C4C2311yescharacteristic
285C24×C4C2312yes—
286C24×C4C2311yescharacteristic
287C24×C4C2311yescharacteristic
288#563—216no—
289#562—216no—
290#554—216no—
291#552—216no—
292#551—216no—
293#551—216no—
294#547—216no—
295#546—216no—
296#544—28no—
297#543—28no—
298#542—216no—
299#539—28no—
300#539—216no—
301#539—216no—
302#538—28no—
303#536—216no—
304#536—216no—
305#536—216no—
306#536—232no—
307#536—216no—
308#536—216no—
309#536—232no—
310#536—48no—
311#536—44no—
312#535—44no—
313#534—44no—
314#534—44no—
315C2×C4⋊Q8—216no—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2314yes—
324C2×C4⋊Q8C2312yes—
325C2×#127C2312yes—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#124—216no—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349#525—28no—
350#525—48no—
351C2×#123—28no—
352C2×#123—216no—
353C2×#123—216no—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×C22⋊Q8—28no—
387C2×C22⋊Q8—28no—
388C2×C22⋊Q8—28no—
389C2×C22⋊Q8D4116yescomplemented
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×#117—28no—
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2314yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2312yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2311yescharacteristic
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2312yes—
484C22×C42C2312yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#399C2314yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
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#397C2314yes—
518#397C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2314yes—
540#395C2314yes—
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#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2312yes—
590#391C2314yes—
591#391C2314yes—
592#391C2314yes—
593#391C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
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#388C2314yes—
638#388C2314yes—
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#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
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#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
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#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#384C2314yes—
710#382C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#379C2312yes—
738#379C2312yes—
739#379C2314yes—
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C2×#95C2312yes—
758C2×#95C2312yes—
759C25C2411yescharacteristic
760C25C2411yescharacteristic
761C25C2411yescharacteristic
762C25C2411yescharacteristic
763C2×#41—28no—
764C2×#41—28no—
765C2×#41—28no—
766C2×#41—28no—
767C2×#41—24no—
768C2×#41—28no—
769C2×#41—44no—
770C2×#41—44no—
771C2×#41—44no—
772C2×#41—44no—
773C2×#41—44no—
774C2×#41—42no—
775C2×#41—42no—
776C2×#41—44no—
777C2×#41—44no—
778C2×#41—44no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—464no—
782C22×Q8—28no—
783C22×Q8—216no—
784C22×Q8—28no—
785C22×Q8—24no—
786C22×Q8—28no—
787C22×Q8—24no—
788C22×Q8—28no—
789C22×Q8—24no—
790C22×Q8—42no—
791C22×Q8—44no—
792C22×Q8—42no—
793C22×Q8—42no—
794C22×Q8—42no—
795C22×Q8—44no—
796C22×Q8—48no—
797C22×Q8—44no—
798C22×Q8—42no—
799C22×Q8—44no—
800C22×Q8—48no—
801C22×Q8—44no—
802C22×Q8—464no—
803C22×Q8C2×D418yes—
804C22×Q8C2414yes—
805C22×Q8C2412yes—
806C22×Q8C2414yes—
807C22×Q8C2412yes—
808C22×Q8C2412yes—
809C22×Q8C2411yescharacteristic
810C22×Q8C2412yes—
811C22×Q8C2412yes—
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×D4—24no—
817C22×D4—24no—
818C22×D4—24no—
819C22×D4—24no—
820C22×D4—24no—
821C22×D4—24no—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2414yes—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4—28no—
850C23×C4—24no—
851C23×C4—28no—
852C23×C4—44no—
853C23×C4—42no—
854C23×C4—42no—
855C23×C4—42no—
856C23×C4—42no—
857C23×C4C2×D418yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C4⋊Q8—28no—
887C4⋊Q8—28no—
888C4⋊Q8—216no—
889C4⋊Q8—216no—
890C4⋊Q8—216no—
891C4⋊Q8—216no—
892C4⋊Q8—28no—
893C4⋊Q8—48no—
894C4⋊Q8—44no—
895#127—44no—
896#126—28no—
897#126—28no—
898#126—28no—
899#126—28no—
900#126—28no—
901#126—28no—
902#125—28no—
903#125—28no—
904#125—28no—
905#125—28no—
906#125—28no—
907#124—28no—
908#124—28no—
909#124—216no—
910#124—216no—
911#124—216no—
912#124—216no—
913#124—28no—
914#124—28no—
915#124—44no—
916#124—48no—
917#124—44no—
918#123—28no—
919#123—28no—
920#123—28no—
921#123—28no—
922#123—28no—
923#123—28no—
924#123—28no—
925#123—28no—
926#123—28no—
927#123—216no—
928#123—216no—
929#123—216no—
930#123—216no—
931#123—28no—
932#123—28no—
933#123—28no—
934#123—28no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—28no—
940#123—28no—
941#123—28no—
942#123—44no—
943#123—44no—
944#123—44no—
945#123—44no—
946#123—44no—
947#123—44no—
948#123—44no—
949#123—44no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—24no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—48no—
975C22⋊Q8—48no—
976C22⋊Q8—48no—
977C22⋊Q8—48no—
978C22⋊Q8C2×D418yes—
979C22⋊Q8C2×D418yes—
980C22⋊Q8C2×D418yes—
981C22⋊Q8C2×D418yes—
982C22⋊Q8C2×D4116yes—
983C22⋊Q8C2×D4116yes—
984#121—24no—
985#121—24no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—28no—
990#121—48no—
991#121—48no—
992#121—48no—
993#121—48no—
994#120—28no—
995#120—28no—
996#120—28no—
997#120—28no—
998#120—44no—
999#120—44no—
1000#120—44no—
1001#120—44no—
1002C4×Q8—28no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—48no—
1011C4×D4—48no—
1012#117—24no—
1013#117—28no—
1014#117—28no—
1015#117—216no—
1016#117—28no—
1017#117—28no—
1018#117—28no—
1019#117—44no—
1020#117—42no—
1021#117—44no—
1022#117—42no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—28no—
1030C2×C4⋊C4C2×D418yes—
1031C2×C4⋊C4C2×D4116yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C22⋊C4—28no—
1086C2×C22⋊C4—24no—
1087C2×C22⋊C4—28no—
1088C2×C22⋊C4—28no—
1089C2×C22⋊C4—28no—
1090C2×C22⋊C4—24no—
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—28no—
1093C2×C22⋊C4—42no—
1094C2×C22⋊C4—42no—
1095C2×C22⋊C4C2×D4116yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C42—28no—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
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—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24—41no—
1227C24—41no—
1228C24—42no—
1229C24C22×D414yes—
1230C24H(5,𝔽2)14yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2511yescharacteristic
1236C24C2512yes—
1237C24C2511yescharacteristic
1238#41—432no—
1239#41—432no—
1240#41—432no—
1241#41—432no—
1242#41—88no—
1243#41—816no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—28no—
1247C2×Q8—28no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—28no—
1254C2×Q8—24no—
1255C2×Q8—28no—
1256C2×Q8—24no—
1257C2×Q8—416no—
1258C2×Q8—41no—
1259C2×Q8—42no—
1260C2×Q8—44no—
1261C2×Q8—41no—
1262C2×Q8—42no—
1263C2×Q8—41no—
1264C2×Q8—44no—
1265C2×Q8—41no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—41no—
1274C2×Q8—41no—
1275C2×Q8—42no—
1276C2×Q8—44no—
1277C2×Q8—432no—
1278C2×Q8—416no—
1279C2×Q8—432no—
1280C2×Q8—464no—
1281C2×Q8—432no—
1282C2×Q8—416no—
1283C2×Q8C22×D414yes—
1284C2×Q8C22×D418yes—
1285C2×Q8C22×D414yes—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—416no—
1320C2×D4—416no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—41no—
1325C2×D4—42no—
1326C2×D4—41no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—416no—
1340C2×D4—88no—
1341C22×C4—232no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
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—22no—
1359C22×C4—22no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—28no—
1371C22×C4—28no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—416no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—432no—
1413C22×C4—416no—
1414C22×C4C22×D418yes—
1415C22×C4C22×D414yes—
1416C22×C4C22×D414yes—
1417C22×C4C22×D418yes—
1418C22×C4C22×D414yes—
1419C22×C4C22×D414yes—
1420C22×C4C22×D414yes—
1421C22×C4C22×D414yes—
1422C22×C4H(5,𝔽2)14yes—
1423C22×C4C2514yes—
1424C22×C4C2514yes—
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2514yes—
1431C22×C4C2512yes—
1432C22×C4C2514yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—28no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
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×D418yes—
1494C4⋊C4C22×D414yes—
1495C4⋊C4C22×D418yes—
1496C4⋊C4C22×D418yes—
1497C4⋊C4C22×D418yes—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
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—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
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⋊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—
1561C42—28no—
1562C42—28no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—42no—
1572C42—42no—
1573C42—44no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—28no—
1589C23—28no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—48no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—48no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—82no—
1620C23—82no—
1621C23—162no—
1622C23—162no—
1623C23C23×D412yes—
1624C23C23×D412yes—
1625C23C23×D412yes—
1626C23C2×H(5,𝔽2)14yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23C2×H(5,𝔽2)12yes—
1629C23C2611yescharacteristic
1630Q8—44no—
1631Q8—48no—
1632Q8—44no—
1633Q8—416no—
1634Q8—416no—
1635Q8—48no—
1636Q8—48no—
1637Q8—48no—
1638Q8—48no—
1639Q8—84no—
1640Q8—82no—
1641Q8—84no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—84no—
1652D4—82no—
1653D4—84no—
1654D4—84no—
1655D4—88no—
1656D4—88no—
1657D4—84no—
1658D4—164no—
1659D4—164no—
1660C2×C4—216no—
1661C2×C4—216no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—28no—
1679C2×C4—28no—
1680C2×C4—28no—
1681C2×C4—216no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—48no—
1722C2×C4—416no—
1723C2×C4—416no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—82no—
1736C2×C4—82no—
1737C2×C4—162no—
1738C2×C4—162no—
1739C2×C4C23×D414yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D414yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C2×H(5,𝔽2)14yes—
1748C22—22no—
1749C22—22no—
1750C22—24no—
1751C22—24no—
1752C22—24no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—28no—
1760C22—416no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—44no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—44no—
1782C22—44no—
1783C22—88no—
1784C22—88no—
1785C22—164no—
1786C22#348414yes—
1787C22C24×D411yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C222−1+612yes—
1791C222−1+612yes—
1792C4—22no—
1793C4—22no—
1794C4—24no—
1795C4—22no—
1796C4—24no—
1797C4—22no—
1798C4—24no—
1799C4—24no—
1800C4—24no—
1801C4—42no—
1802C4—44no—
1803C4—42no—
1804C4—42no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4—44no—
1812C4—44no—
1813C4—44no—
1814C2—24no—
1815C2—44no—
1816C2—42no—
1817C2—42no—
1818C2—82no—
1819C2—82no—
1820C2—82no—
1821C2C2×#348411yescharacteristic
1822C2#6284811yescharacteristic
1823C2#6285911yescharacteristic
1824C2#6287112yes—
1825C2#6288712yes—
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×#3535C2semidirect
2. C22×#536C2semidirect
3. #51746C2semidirect
4. #51538C2semidirect
5. #51525C2semidirect
6. #51524C2semidirect
7. #46430C2semidirect
8. #46426C2semidirect
9. #46418C2semidirect
10. #46369C2semidirect
11. #46361C2semidirect
12. #46357C2semidirect
13. #39465C2semidirect
14. #39461C2semidirect
15. #39337C2semidirect
16. #39333C2semidirect
17. #37843C2semidirect
18. #37842C2semidirect
19. #37655C2semidirect
20. #37654C2semidirect
21. #37447C2semidirect
22. #37441C2semidirect
23. #37186C2semidirect
24. #37118C2semidirect
25. #35242C2semidirect
26. #35149C2semidirect
27. #35094C2semidirect
28. #35088C2semidirect
29. #34359C2semidirect
31. C24×Q8C22semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#554C22semidirect
38. C2×#551C22semidirect
41. C2×#544C22semidirect
42. C2×#543C22semidirect
43. C2×#542C22semidirect
45. C2×#539C22semidirect
46. C2×#539C22semidirect
47. C2×#538C22semidirect
54. C2×#536C22semidirect
55. C2×#536C22semidirect
56. C2×#536C22semidirect
57. C2×#536C22semidirect
58. C2×#535C22semidirect
61. C22×C4⋊Q8C22semidirect
67. C22×#123C22semidirect
70. C22×C22⋊Q8C22semidirect
71. C22×C22⋊Q8C22semidirect
72. C22×#117C22semidirect
73. #2855C22semidirect
78. #2849C22semidirect
79. #2849C22semidirect
80. #2849C22semidirect
81. #2817C22semidirect
82. #2816C22semidirect
83. #2814C22semidirect
84. #2732C22semidirect
85. #2732C22semidirect
86. #2730C22semidirect
87. #2730C22semidirect
88. #2729C22semidirect
89. #2729C22semidirect
90. #2728C22semidirect
91. #2728C22semidirect
92. #2723C22semidirect
93. #2723C22semidirect
94. #2720C22semidirect
95. #2720C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2715C22semidirect
99. #2713C22semidirect
100. #2713C22semidirect
101. #2712C22semidirect
102. #2710C22semidirect
103. #2707C22semidirect
104. #2706C22semidirect
105. #2705C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2696C22semidirect
109. #2696C22semidirect
110. #2695C22semidirect
111. #2694C22semidirect
112. #2693C22semidirect
113. #2692C22semidirect
114. #2692C22semidirect
115. #2687C22semidirect
116. #2682C22semidirect
117. #2681C22semidirect
118. #2680C22semidirect
119. #2678C22semidirect
120. #2677C22semidirect
121. #2677C22semidirect
122. #2676C22semidirect
123. #2674C22semidirect
124. #2674C22semidirect
125. #2674C22semidirect
126. #2674C22semidirect
127. #2673C22semidirect
128. #2672C22semidirect
129. #2672C22semidirect
130. #2671C22semidirect
131. #2670C22semidirect
132. #2663C22semidirect
133. #2659C22semidirect
134. #2639C22semidirect
135. #2638C22semidirect
136. #2627C22semidirect
137. #2626C22semidirect
138. #2626C22semidirect
140. #2623C22semidirect
145. #2614C22semidirect
146. #2614C22semidirect
150. #2583C22semidirect
151. #2564C22semidirect
152. #2561C22semidirect
153. #2561C22semidirect
154. #2558C22semidirect
155. #2557C22semidirect
156. #2557C22semidirect
157. #2555C22semidirect
158. #2554C22semidirect
159. #2553C22semidirect
160. #2551C22semidirect
161. #2550C22semidirect
164. #2534C22semidirect
165. #2521C22semidirect
166. #2503C22semidirect
168. #2492C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
172. #2486C22semidirect
173. #2484C22semidirect
174. #2484C22semidirect
176. #2482C22semidirect
177. #2479C22semidirect
178. #2479C22semidirect
179. #2477C22semidirect
180. #2477C22semidirect
181. #2475C22semidirect
182. #2475C22semidirect
183. #2474C22semidirect
184. #2472C22semidirect
185. #2471C22semidirect
186. #2471C22semidirect
187. #2471C22semidirect
188. #2470C22semidirect
189. #2464C22semidirect
190. #2461C22semidirect
191. #2461C22semidirect
192. #2459C22semidirect
193. #2458C22semidirect
194. #2457C22semidirect
195. #2456C22semidirect
196. #2455C22semidirect
197. #2452C22semidirect
198. #2451C22semidirect
199. #2445C22semidirect
200. #2443C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2436C22semidirect
204. #2436C22semidirect
205. #2434C22semidirect
206. #2434C22semidirect
208. #2432C22semidirect
210. #2431C22semidirect
213. #2422C22semidirect
214. #2418C22semidirect
218. #2413C22semidirect
222. #2411C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
225. #2409C22semidirect
226. #2409C22semidirect
228. #2407C22semidirect
232. #2406C22semidirect
237. #2378C22semidirect
238. #2368C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
243. #2332C22semidirect
244. #2332C22semidirect
245. #2329C22semidirect
246. #2329C22semidirect
248. #2321C22semidirect
249. #2313C22semidirect
250. #2310C22semidirect
251. #2310C22semidirect
252. #2310C22semidirect
253. #2309C22semidirect
257. C4×#123C22semidirect
259. #2280C22semidirect
389. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
C22×#5362
#517462
#515382
#515252
#515242
#464302
#464262
#464182
#463692
#463612
#463572
#394652
#394612
#393372
#393332
#378432
#378422
#376552
#376542
#374472
#374412
#371862
#371182
#352422
#351492
#350942
#350882
#343592