Finite Group Databasebeta

← #7732538

Subgroups — #7732538

Order 512.

7278 conjugacy classes of subgroups.

The subgroup lattice has 1843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#50180C214yesmaximal, complemented
4#50179C214yesmaximal, complemented
5#47205C214yesmaximal, complemented
6#47204C214yesmaximal, complemented
7#43904C214yesmaximal, complemented
8#43021C214yesmaximal, complemented
9#39469C212yesmaximal, complemented
10#39462C212yesmaximal, complemented
11#38050C212yesmaximal, complemented
12#38042C212yesmaximal, complemented
13#37839C212yesmaximal, complemented
14#37836C212yesmaximal, complemented
15#37770C212yesmaximal, complemented
16#37755C212yesmaximal, complemented
17#37697C212yesmaximal, complemented
18#37679C212yesmaximal, complemented
19#37439C211yesmaximal, characteristic, complemented
20#37279C212yesmaximal, complemented
21#37273C212yesmaximal, complemented
22#36361C212yesmaximal, complemented
23#36259C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35517C212yesmaximal, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35000C211yesmaximal, characteristic, complemented
28C2×#2485C211yesmaximal, characteristic, complemented
29#34360C211yesmaximal, characteristic, complemented
30#3494—216no—
31C2×#555C2212yescomplemented
32C2×#553C2212yes—
33C2×#553C2212yescomplemented
34C2×#551C2214yescomplemented
35C2×#547C2212yes—
36C2×#547C2214yescomplemented
37C2×#546C2214yes—
38#3460—216no—
39C2×#544C2211yescharacteristic, complemented
40C2×#544C2211yescharacteristic, complemented
41C2×#542C2212yes—
42C2×#542C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#540C2212yes—
45C2×#540C2212yescomplemented
46C2×#540C2212yescomplemented
47C2×#538C2212yes—
48C2×#538C2211yescharacteristic, complemented
49C2×#538C2211yescharacteristic, complemented
50C2×#537C2211yescharacteristic, complemented
51C2×#535C2212yes—
52C2×#535C2211yescharacteristic, complemented
53C2×#534C2212yes—
54C2×#532C2212yes—
55C2×#532C2212yes—
56C2×#532C2212yescomplemented
57C2×#529C2212yes—
58C2×#529C2212yes—
59C2×#529C2212yescomplemented
60C2×#525C2211yescharacteristic
61C2×#525C2211yescharacteristic
62C2×#525C2212yescomplemented
63C22×#121C2211yescharacteristic
64C2×#520C2211yescharacteristic, complemented
65C2×#518C2211yescharacteristic, complemented
66C2×C4×#41C2212yescomplemented
67C22×C4×D4C2211yescharacteristic
68C22×#117C2211yescharacteristic
69#2857C2212yescomplemented
70#2855C2212yescomplemented
71#2854C2212yes—
72#2854C2212yescomplemented
73#2854C2212yescomplemented
74#2854C2212yescomplemented
75#2851C2212yescomplemented
76#2847C2212yes—
77#2813C2214yescomplemented
78#2733C2214yescomplemented
79#2731C2214yescomplemented
80#2727C2214yescomplemented
81#2725C2214yescomplemented
82#2719C2214yescomplemented
83#2716C2214yescomplemented
84#2716C2214yescomplemented
85#2714C2214yescomplemented
86#2712C2214yescomplemented
87#2712C2214yescomplemented
88#2710C2214yescomplemented
89#2708C2214yescomplemented
90#2706C2214yescomplemented
91#2705C2214yescomplemented
92#2703C2214yescomplemented
93#2702C2214yescomplemented
94#2698C2214yescomplemented
95#2696C2214yescomplemented
96#2695C2214yescomplemented
97#2694C2214yescomplemented
98#2693C2214yescomplemented
99#2692C2214yescomplemented
100#2688C2214yescomplemented
101#2687C2214yescomplemented
102#2684C2214yescomplemented
103#2681C2214yes—
104#2678C2214yes—
105#2678C2214yescomplemented
106#2677C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2674C2214yes—
110#2674C2214yescomplemented
111#2673C2214yescomplemented
112#2673C2214yescomplemented
113#2673C2214yescomplemented
114#2672C2214yescomplemented
115#2671C2214yescomplemented
116#2671C2214yescomplemented
117#2669C2214yes—
118#2656C2212yes—
119#2639C2212yes—
120#2629C2212yescomplemented
121#2628C2212yescomplemented
122#2626C2212yescomplemented
123#2625C2212yescomplemented
124#2624C2212yescomplemented
125#2624C2212yescomplemented
126#2618C2212yes—
127#2617C2212yes—
128#2617C2212yescomplemented
129#2615C2212yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2584C2212yescomplemented
133#2580C2212yescomplemented
134#2563C2212yescomplemented
135#2562C2212yescomplemented
136#2557C2214yescomplemented
137#2546C2212yescomplemented
138#2543C2214yes—
139#2543C2214yescomplemented
140#2539C2214yescomplemented
141#2538C2212yescomplemented
142#2537C2212yescomplemented
143#2535C2214yescomplemented
144#2535C2212yescomplemented
145#2534C2214yes—
146#2521C2214yescomplemented
147#2498C2214yescomplemented
148#2491C2214yescomplemented
149#2488C2214yescomplemented
150#2487C2212yescomplemented
151#2487C2212yescomplemented
152#2487C2212yescomplemented
153#2486C2212yes—
154#2486C2212yescomplemented
155#2486C2212yescomplemented
156#2485C2214yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2214yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2480C2214yescomplemented
167#2479C2214yescomplemented
168#2479C2214yescomplemented
169#2475C2214yescomplemented
170#2472C2214yes—
171#2470C2214yescomplemented
172#2469C2214yescomplemented
173#2467C2214yescomplemented
174#2464C2214yescomplemented
175#2463C2214yescomplemented
176#2460C2214yescomplemented
177#2459C2214yescomplemented
178#2456C2214yescomplemented
179#2456C2214yescomplemented
180#2455C2214yescomplemented
181#2450C2214yescomplemented
182#2449C2214yescomplemented
183#2448C2214yescomplemented
184#2447C2214yescomplemented
185#2446C2214yescomplemented
186#2445C2214yes—
187#2444C2214yescomplemented
188#2444C2214yescomplemented
189#2443C2214yes—
190#2443C2214yescomplemented
191#2443C2214yescomplemented
192#2439C2214yescomplemented
193#2430C2214yescomplemented
194#2430C2214yescomplemented
195#2429C2214yescomplemented
196#2428C2214yescomplemented
197#2425C2214yescomplemented
198#2425C2214yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2424C2214yes—
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2418C2214yescomplemented
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2415C2214yescomplemented
213#2414C2214yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2413C2214yescomplemented
217#2413C2214yescomplemented
218#2412C2214yes—
219#2410C2214yes—
220#2408C2212yes—
221#2408C2212yescomplemented
222#2404C2214yescomplemented
223C2×#397C2212yes—
224C2×#394C2212yes—
225#2376C2214yescomplemented
226#2361C2214yescomplemented
227#2359C2214yescomplemented
228#2358C2214yes—
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2212yescomplemented
233#2339C2214yescomplemented
234#2329C2212yescomplemented
235#2329C2212yescomplemented
236#2325C2212yescomplemented
237#2325C2212yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2316C2211yescharacteristic, complemented
241#2316C2211yescharacteristic, complemented
242#2314C2212yescomplemented
243#2311C2211yescharacteristic, complemented
244#2311C2212yescomplemented
245#2311C2211yescharacteristic, complemented
246#2311C2212yescomplemented
247#2311C2212yescomplemented
248#2308C2212yes—
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251#2296C2212yescomplemented
252C2×#389C2211yescharacteristic, complemented
253C2×#389C2212yescomplemented
254C2×#389C2211yescharacteristic, complemented
255C2×#388C2212yescomplemented
256C2×#387C2212yescomplemented
257C2×#380C2211yescharacteristic
258C2×#380C2211yescharacteristic
259C2×#380C2211yescharacteristic, complemented
260C2×#380C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2314yes—
265C22×#41C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271#555—216no—
272#553—216no—
273#553—216no—
274#551—232no—
275#547—216no—
276#547—416no—
277#546—232no—
278#544—28no—
279#544—28no—
280#542—216no—
281#542—216no—
282#542—216no—
283#540—216no—
284#540—216no—
285#540—216no—
286#538—28no—
287#538—28no—
288#538—216no—
289#537—28no—
290#535—28no—
291#535—216no—
292#534—48no—
293#532—216no—
294#532—216no—
295#532—216no—
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2314yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2312yes—
304#529—216no—
305#529—216no—
306#529—216no—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326#525—28no—
327#525—216no—
328#525D4116yescomplemented
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×#121—28no—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2311yescharacteristic
395C2×#121C2311yescharacteristic
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2312yes—
404#520—28no—
405#518—28no—
406C4×#41—216no—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—28no—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×#117—28no—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2314yes—
465C22×C4⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C42C2312yes—
476C22×C42C2311yescharacteristic
477C22×C42C2312yes—
478C22×C42C2312yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#395C2314yes—
522#395C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#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#386C2314yes—
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#386C2314yes—
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#384C2312yes—
700#382C2314yes—
701#382C2312yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
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#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2314yes—
748C2×#95C2312yes—
749C2×#95C2312yes—
750C2×#95C2312yes—
751C25C2411yescharacteristic
752C25C2411yescharacteristic
753C25C2412yes—
754C2×#41—28no—
755C2×#41—216no—
756C2×#41—24no—
757C2×#41—28no—
758C2×#41—28no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—44no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—48no—
767C2×#41—48no—
768C2×#41C2×D418yes—
769C22×Q8C2412yes—
770C22×Q8C2414yes—
771C22×Q8C2411yescharacteristic
772C22×Q8C2412yes—
773C22×Q8C2411yescharacteristic
774C22×D4—24no—
775C22×D4—28no—
776C22×D4—24no—
777C22×D4—24no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4—42no—
781C22×D4—44no—
782C22×D4—44no—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2411yescharacteristic
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2411yescharacteristic
809C23×C4—24no—
810C23×C4—42no—
811C23×C4—42no—
812C23×C4—42no—
813C23×C4—42no—
814C23×C4C2×D418yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C4⋊Q8—28no—
844C4⋊Q8—28no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—48no—
848#127—28no—
849#127—28no—
850#127—28no—
851#126—28no—
852#126—28no—
853#126—216no—
854#126—216no—
855#126—28no—
856#126—28no—
857#125—28no—
858#125—28no—
859#125—28no—
860#125—28no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—216no—
869#124—216no—
870#123—28no—
871#123—28no—
872#123—216no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—216no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—48no—
886#123—84no—
887#123C2×D4116yes—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—216no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8C2×D418yes—
899C22⋊Q8C2×D418yes—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—24no—
915#121—24no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—48no—
924#121—48no—
925#121—48no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—48no—
931#121—48no—
932#121—84no—
933#121—84no—
934#121C2×D418yes—
935#121C2×D418yes—
936#120—28no—
937#120—28no—
938#120—216no—
939#120—28no—
940#120—48no—
941#120—48no—
942#120—84no—
943#120C2×D4116yes—
944C4×Q8—28no—
945C4×Q8—28no—
946C4×Q8—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—216no—
963C4×D4—216no—
964C4×D4—28no—
965C4×D4—28no—
966C4×D4—28no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—84no—
970C4×D4—84no—
971C4×D4C2×D4116yes—
972C4×D4C2×D4116yes—
973#117—24no—
974#117—24no—
975#117—28no—
976#117—28no—
977#117—24no—
978#117—24no—
979#117—28no—
980#117—24no—
981#117—28no—
982#117—216no—
983#117—28no—
984#117—28no—
985#117—28no—
986#117—44no—
987#117C2×D418yes—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—28no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—42no—
999C2×C4⋊C4—48no—
1000C2×C4⋊C4—82no—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4—28no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—24no—
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—216no—
1059C2×C22⋊C4—44no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—82no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C42—28no—
1128C2×C42—24no—
1129C2×C42—28no—
1130C2×C42—28no—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
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—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—24no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24C22×D414yes—
1202C24C2514yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207C24C2512yes—
1208C24C2511yescharacteristic
1209#41—416no—
1210#41—432no—
1211#41—88no—
1212#41—816no—
1213#41—832no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—28no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8C22×D414yes—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—42no—
1269C2×D4—416no—
1270C2×D4—416no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—816no—
1306C2×D4C22×D418yes—
1307C2×D4C22×D418yes—
1308C2×D4C22×D414yes—
1309C2×D4C22×D418yes—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—24no—
1345C22×C4—416no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—88no—
1388C22×C4C22×D414yes—
1389C22×C4C22×D418yes—
1390C22×C4C22×D414yes—
1391C22×C4C22×D414yes—
1392C22×C4C22×D414yes—
1393C22×C4C22×D414yes—
1394C22×C4C22×D414yes—
1395C22×C4H(5,𝔽2)14yes—
1396C22×C4C2514yes—
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4C22×D418yes—
1468C4⋊C4C22×D418yes—
1469C4⋊C4C22×D414yes—
1470C4⋊C4C22×D414yes—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
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⋊C4C22×D418yes—
1531C22⋊C4C22×D418yes—
1532C22⋊C4C22×D418yes—
1533C22⋊C4C22×D418yes—
1534C22⋊C4C22×D418yes—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—28no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42C22×D418yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—22no—
1557C23—21no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—28no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—24no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—48no—
1600C23—44no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—84no—
1610C23—84no—
1611C23—162no—
1612C23—162no—
1613C23—162no—
1614C23—162no—
1615C23C23×D412yes—
1616C23C23×D412yes—
1617C23C23×D414yes—
1618C23C23×D412yes—
1619C23C2×H(5,𝔽2)12yes—
1620C23#58512yes—
1621C23C2611yescharacteristic
1622Q8—44no—
1623Q8—48no—
1624Q8—82no—
1625Q8—84no—
1626Q8—88no—
1627D4—216no—
1628D4—48no—
1629D4—44no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—416no—
1636D4—48no—
1637D4—48no—
1638D4—84no—
1639D4—82no—
1640D4—84no—
1641D4—88no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—28no—
1668C2×C4—28no—
1669C2×C4—28no—
1670C2×C4—28no—
1671C2×C4—216no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—84no—
1723C2×C4—88no—
1724C2×C4—84no—
1725C2×C4—88no—
1726C2×C4—82no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—82no—
1732C2×C4—84no—
1733C2×C4—88no—
1734C2×C4—88no—
1735C2×C4—162no—
1736C2×C4—162no—
1737C2×C4C23×D412yes—
1738C2×C4C23×D414yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D412yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D414yes—
1743C2×C4C23×D412yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C2×C4#58512yes—
1746C2×C4#58512yes—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—24no—
1756C22—24no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—22no—
1761C22—22no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—41no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—42no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—44no—
1792C22—42no—
1793C22—44no—
1794C22—42no—
1795C22—88no—
1796C22—88no—
1797C22—168no—
1798C22#348814yes—
1799C22C24×D411yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22H(7,𝔽2)11yescharacteristic
1805C222−1+611yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—24no—
1810C4—24no—
1811C4—24no—
1812C4—24no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—44no—
1825C4—44no—
1826C4—44no—
1827C4#348514yes—
1828C2—24no—
1829C2—44no—
1830C2—42no—
1831C2—42no—
1832C2—82no—
1833C2—82no—
1834C2—84no—
1835C2C2×#348511yescharacteristic
1836C2C2×#348811yescharacteristic
1837C2#6285311yescharacteristic
1838C2#6293011yescharacteristic
1839C2#6293111yescharacteristic
1840C2#6293411yescharacteristic
1841C2#6293511yescharacteristic
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×#3494C2semidirect
2. C2×#3460C2semidirect
3. #50180C2semidirect
4. #50179C2semidirect
5. #47205C2semidirect
6. #47204C2semidirect
7. #43904C2semidirect
8. #43021C2semidirect
9. #39469C2semidirect
10. #39462C2semidirect
11. #38050C2semidirect
12. #38042C2semidirect
13. #37839C2semidirect
14. #37836C2semidirect
15. #37770C2semidirect
16. #37755C2semidirect
17. #37697C2semidirect
18. #37679C2semidirect
19. #37439C2semidirect
20. #37279C2semidirect
21. #37273C2semidirect
22. #36361C2semidirect
23. #36259C2semidirect
24. #35522C2semidirect
25. #35517C2semidirect
26. #35263C2semidirect
27. #35000C2semidirect
28. C2×#2485C2semidirect
29. #34360C2semidirect
31. C2×#555C22semidirect
33. C2×#553C22semidirect
34. C2×#551C22semidirect
36. C2×#547C22semidirect
39. C2×#544C22semidirect
40. C2×#544C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
45. C2×#540C22semidirect
46. C2×#540C22semidirect
48. C2×#538C22semidirect
49. C2×#538C22semidirect
50. C2×#537C22semidirect
52. C2×#535C22semidirect
56. C2×#532C22semidirect
59. C2×#529C22semidirect
62. C2×#525C22semidirect
64. C2×#520C22semidirect
65. C2×#518C22semidirect
66. C2×C4×#41C22semidirect
69. #2857C22semidirect
70. #2855C22semidirect
72. #2854C22semidirect
73. #2854C22semidirect
74. #2854C22semidirect
75. #2851C22semidirect
77. #2813C22semidirect
78. #2733C22semidirect
79. #2731C22semidirect
80. #2727C22semidirect
81. #2725C22semidirect
82. #2719C22semidirect
83. #2716C22semidirect
84. #2716C22semidirect
85. #2714C22semidirect
86. #2712C22semidirect
87. #2712C22semidirect
88. #2710C22semidirect
89. #2708C22semidirect
90. #2706C22semidirect
91. #2705C22semidirect
92. #2703C22semidirect
93. #2702C22semidirect
94. #2698C22semidirect
95. #2696C22semidirect
96. #2695C22semidirect
97. #2694C22semidirect
98. #2693C22semidirect
99. #2692C22semidirect
100. #2688C22semidirect
101. #2687C22semidirect
102. #2684C22semidirect
105. #2678C22semidirect
106. #2677C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
110. #2674C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
113. #2673C22semidirect
114. #2672C22semidirect
115. #2671C22semidirect
116. #2671C22semidirect
120. #2629C22semidirect
121. #2628C22semidirect
122. #2626C22semidirect
123. #2625C22semidirect
124. #2624C22semidirect
125. #2624C22semidirect
128. #2617C22semidirect
129. #2615C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2584C22semidirect
133. #2580C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
136. #2557C22semidirect
137. #2546C22semidirect
139. #2543C22semidirect
140. #2539C22semidirect
141. #2538C22semidirect
142. #2537C22semidirect
143. #2535C22semidirect
144. #2535C22semidirect
146. #2521C22semidirect
147. #2498C22semidirect
148. #2491C22semidirect
149. #2488C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2487C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2480C22semidirect
167. #2479C22semidirect
168. #2479C22semidirect
169. #2475C22semidirect
171. #2470C22semidirect
172. #2469C22semidirect
173. #2467C22semidirect
174. #2464C22semidirect
175. #2463C22semidirect
176. #2460C22semidirect
177. #2459C22semidirect
178. #2456C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2450C22semidirect
182. #2449C22semidirect
183. #2448C22semidirect
184. #2447C22semidirect
185. #2446C22semidirect
187. #2444C22semidirect
188. #2444C22semidirect
190. #2443C22semidirect
191. #2443C22semidirect
192. #2439C22semidirect
193. #2430C22semidirect
194. #2430C22semidirect
195. #2429C22semidirect
196. #2428C22semidirect
197. #2425C22semidirect
198. #2425C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2418C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2413C22semidirect
217. #2413C22semidirect
221. #2408C22semidirect
222. #2404C22semidirect
225. #2376C22semidirect
226. #2361C22semidirect
227. #2359C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2339C22semidirect
234. #2329C22semidirect
235. #2329C22semidirect
236. #2325C22semidirect
237. #2325C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2316C22semidirect
241. #2316C22semidirect
242. #2314C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. #2296C22semidirect
252. C2×#389C22semidirect
253. C2×#389C22semidirect
254. C2×#389C22semidirect
255. C2×#388C22semidirect
256. C2×#387C22semidirect
259. C2×#380C22semidirect
260. C2×#380C22semidirect
328. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34602
#501802
#501792
#472052
#472042
#439042
#430212
#394692
#394622
#380502
#380422
#378392
#378362
#377702
#377552
#376972
#376792
#374392
#372792
#372732
#363612
#362592
#355222
#355172
#352632
#350002
C2×#24852
#343602