Finite Group Databasebeta

← #7716017

Subgroups — #7716017

Order 512.

7580 conjugacy classes of subgroups.

The subgroup lattice has 1835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3537C211yesmaximal, characteristic, complemented
2C2×#3536C211yesmaximal, characteristic, complemented
3#49570C214yesmaximal, complemented
4#49566C214yesmaximal, complemented
5#47858C214yesmaximal, complemented
6#47854C214yesmaximal, complemented
7#45096C212yesmaximal, complemented
8#45094C212yesmaximal, complemented
9#45093C212yesmaximal, complemented
10#45092C212yesmaximal, complemented
11#44874C212yesmaximal, complemented
12#44873C212yesmaximal, complemented
13#44871C212yesmaximal, complemented
14#44868C212yesmaximal, complemented
15#39165C212yesmaximal, complemented
16#38949C212yesmaximal, complemented
17#38949C214yesmaximal, complemented
18#38076C214yesmaximal, complemented
19#36740C212yesmaximal, complemented
20#36739C212yesmaximal, complemented
21#36518C212yesmaximal, complemented
22#36214C212yesmaximal, complemented
23#35306C211yesmaximal, characteristic, complemented
24#35252C211yesmaximal, characteristic, complemented
25#35019C211yesmaximal, characteristic, complemented
26#35005C212yesmaximal, complemented
27#34993C212yesmaximal, complemented
28#34575C211yesmaximal, characteristic, complemented
29C2×#2363C211yesmaximal, characteristic, complemented
30#3537—216no—
31#3536—216no—
32C2×#562C2214yescomplemented
33C2×#560C2214yes—
34C2×#554C2212yescomplemented
35C2×#553C2212yes—
36C2×#553C2212yes—
37C2×#548C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×#546C2212yescomplemented
40C2×#546C2214yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×D42C2214yes—
44C2×D42C2212yes—
45C2×#543C2212yescomplemented
46C2×#542C2212yescomplemented
47C2×#540C2212yes—
48C2×#539C2212yescomplemented
49C2×#538C2212yes—
50C2×#538C2212yes—
51C2×#538C2212yescomplemented
52C2×#537C2212yescomplemented
53C2×#537C2212yescomplemented
54C2×#536C2211yescharacteristic, complemented
55C2×#535C2212yes—
56C2×#535C2211yescharacteristic, complemented
57C2×#534C2212yes—
58C2×#534C2212yes—
59C2×#525C2211yescharacteristic
60C2×#525C2211yescharacteristic, complemented
61C22×C22⋊Q8C2211yescharacteristic, complemented
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic, complemented
65C22×#117C2211yescharacteristic, complemented
66#2857C2212yescomplemented
67#2856C2212yescomplemented
68#2850C2214yescomplemented
69#2850C2212yescomplemented
70#2850C2212yescomplemented
71#2850C2212yescomplemented
72#2850C2212yescomplemented
73#2847C2214yescomplemented
74#2725C2214yescomplemented
75#2718C2214yescomplemented
76#2710C2214yescomplemented
77#2709C2214yescomplemented
78#2708C2214yescomplemented
79#2707C2214yescomplemented
80#2706C2214yescomplemented
81#2703C2214yescomplemented
82#2702C2214yescomplemented
83#2701C2214yescomplemented
84#2701C2214yescomplemented
85#2701C2214yescomplemented
86#2700C2214yescomplemented
87#2699C2214yescomplemented
88#2699C2214yescomplemented
89#2699C2214yescomplemented
90#2698C2214yescomplemented
91#2697C2214yescomplemented
92#2697C2214yescomplemented
93#2697C2214yescomplemented
94#2689C2214yescomplemented
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2687C2214yescomplemented
98#2686C2214yescomplemented
99#2685C2214yescomplemented
100#2684C2214yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2680C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2674C2214yescomplemented
109#2673C2214yescomplemented
110#2672C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2663C2212yescomplemented
115#2663C2212yescomplemented
116#2661C2212yescomplemented
117#2661C2212yescomplemented
118#2659C2211yescharacteristic, complemented
119#2656C2211yescharacteristic, complemented
120#2639C2211yescharacteristic, complemented
121#2639C2211yescharacteristic, complemented
122#2639C2212yescomplemented
123#2639C2214yescomplemented
124#2639C2212yescomplemented
125#2621C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2619C2212yescomplemented
129#2617C2212yescomplemented
130#2617C2212yescomplemented
131#2617C2214yescomplemented
132#2591C2214yescomplemented
133#2564C2214yescomplemented
134#2561C2214yescomplemented
135#2560C2214yescomplemented
136#2559C2214yescomplemented
137#2559C2214yescomplemented
138#2558C2214yescomplemented
139#2557C2214yescomplemented
140#2557C2214yescomplemented
141#2550C2212yescomplemented
142#2544C2212yescomplemented
143#2543C2214yescomplemented
144#2543C2214yescomplemented
145#2540C2212yescomplemented
146#2535C2212yescomplemented
147#2534C2214yescomplemented
148#2519C2214yescomplemented
149#2504C2212yescomplemented
150#2503C2212yescomplemented
151#2496C2214yescomplemented
152#2491C2214yescomplemented
153#2491C2212yescomplemented
154#2489C2212yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2488C2214yescomplemented
158#2488C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2461C2214yescomplemented
164#2453C2212yescomplemented
165#2452C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2214yescomplemented
168#2445C2214yescomplemented
169#2445C2212yescomplemented
170#2444C2214yescomplemented
171#2444C2214yescomplemented
172#2442C2212yescomplemented
173#2439C2212yescomplemented
174#2436C2212yescomplemented
175#2435C2212yescomplemented
176#2435C2214yescomplemented
177#2435C2212yescomplemented
178#2431C2212yescomplemented
179#2431C2214yescomplemented
180#2430C2214yescomplemented
181#2428C2212yescomplemented
182#2428C2214yescomplemented
183#2427C2212yescomplemented
184#2427C2212yescomplemented
185#2426C2212yescomplemented
186#2425C2214yescomplemented
187#2424C2214yescomplemented
188#2422C2214yescomplemented
189#2420C2212yescomplemented
190#2420C2214yescomplemented
191#2420C2214yescomplemented
192#2420C2212yescomplemented
193#2419C2214yescomplemented
194#2418C2214yescomplemented
195#2417C2214yescomplemented
196#2417C2212yescomplemented
197#2417C2212yescomplemented
198#2416C2214yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2415C2212yescomplemented
203#2415C2212yescomplemented
204#2415C2212yescomplemented
205#2414C2212yescomplemented
206#2414C2212yescomplemented
207#2413C2214yescomplemented
208#2412C2214yescomplemented
209#2412C2214yescomplemented
210#2412C2214yescomplemented
211#2411C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2214yescomplemented
218#2407C2212yescomplemented
219#2407C2214yescomplemented
220#2405C2214yescomplemented
221#2404C2214yescomplemented
222#2395C2212yescomplemented
223#2395C2212yescomplemented
224#2388C2212yescomplemented
225#2388C2212yescomplemented
226#2367C2212yescomplemented
227#2363C2212yescomplemented
228#2363C2212yescomplemented
229#2363C2212yescomplemented
230#2363C2212yescomplemented
231#2363C2214yescomplemented
232#2363C2214yescomplemented
233#2362C2212yescomplemented
234#2361C2212yescomplemented
235#2352C2212yescomplemented
236#2349C2212yescomplemented
237#2339C2212yescomplemented
238D4×C22⋊C4C2212yescomplemented
239#2325C2214yescomplemented
240#2317C2211yescharacteristic, complemented
241#2317C2211yescharacteristic, complemented
242#2311C2211yescharacteristic, complemented
243#2311C2211yescharacteristic, complemented
244#2310C2211yescharacteristic, complemented
245#2309C2211yescharacteristic, complemented
246#2308C2214yescomplemented
247#2308C2212yescomplemented
248#2308C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2214yescomplemented
252C2×#390C2212yescomplemented
253C2×#390C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255C2×#388C2212yescomplemented
256C2×#386C2212yescomplemented
257C2×#386C2214yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C2×C4×C22⋊C4C2211yescharacteristic, complemented
260C2×C4×C22⋊C4C2212yescomplemented
261C22×#41C2311yescharacteristic
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2314yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C24×C4C2312yes—
274C24×C4C2311yescharacteristic
275#562—232no—
276#560—232no—
277#554—216no—
278#553—216no—
279#553—216no—
280#548—216no—
281#547—216no—
282#546—232no—
283#546—216no—
284#546—48no—
285D42—232no—
286D42—216no—
287D42—216no—
288#543—216no—
289#542—216no—
290#540—216no—
291#539—216no—
292#538—216no—
293#538—216no—
294#538—216no—
295#537—216no—
296#537—216no—
297#536—44no—
298#535—216no—
299#535—44no—
300#534—216no—
301#534—216no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#127C2314yes—
305C2×#127C2312yes—
306C2×#127C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#124C2314yes—
313C2×#124C2314yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321#525—28no—
322#525—28no—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8—28no—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×#121—28no—
356C2×#121D4116yescomplemented
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4—44no—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×#117—44no—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C42C2312yes—
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2312yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2312yes—
461#400C2312yes—
462#400C2314yes—
463#400C2314yes—
464#399C2314yes—
465#399C2312yes—
466#399C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#395C2314yes—
502#395C2312yes—
503#395C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
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#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#393C2312yes—
544#393C2314yes—
545#393C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2312yes—
690#384C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#379C2314yes—
716#379C2314yes—
717#379C2314yes—
718#379C2314yes—
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2314yes—
745C2×#95C2314yes—
746C2×#95C2311yescharacteristic
747C2×#95C2311yescharacteristic
748C25C2411yescharacteristic
749C25C2412yes—
750C25C2414yes—
751C25C2412yes—
752C2×#41—216no—
753C2×#41—28no—
754C2×#41—24no—
755C2×#41—24no—
756C2×#41—42no—
757C2×#41—42no—
758C2×#41—42no—
759C2×#41—42no—
760C2×#41—44no—
761C2×#41—44no—
762C2×#41—84no—
763C2×#41—84no—
764C22×Q8—24no—
765C22×Q8—42no—
766C22×Q8—42no—
767C22×Q8C2412yes—
768C22×Q8C2411yescharacteristic
769C22×Q8C2414yes—
770C22×Q8C2412yes—
771C22×Q8C2411yescharacteristic
772C22×D4—28no—
773C22×D4—216no—
774C22×D4—216no—
775C22×D4—28no—
776C22×D4—24no—
777C22×D4—42no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4—44no—
781C22×D4—42no—
782C22×D4—44no—
783C22×D4—48no—
784C22×D4—44no—
785C22×D4—44no—
786C22×D4—48no—
787C22×D4—82no—
788C22×D4—82no—
789C22×D4—84no—
790C22×D4—84no—
791C22×D4C2×D418yes—
792C22×D4C2×D4116yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2411yescharacteristic
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2414yes—
819C22×D4C2414yes—
820C23×C4—42no—
821C23×C4—42no—
822C23×C4—44no—
823C23×C4—44no—
824C23×C4—82no—
825C23×C4C2×D418yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—28no—
852C4⋊Q8—44no—
853#127—216no—
854#127—28no—
855#127—44no—
856#126—216no—
857#126—216no—
858#126—216no—
859#125—216no—
860#125—28no—
861#124—28no—
862#124—216no—
863#124—216no—
864#124—216no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—44no—
869#124—84no—
870#123—216no—
871#123—216no—
872#123—216no—
873#123—28no—
874#123—28no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—48no—
881#123—48no—
882#123—84no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—24no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—216no—
897C22⋊Q8—216no—
898C22⋊Q8—216no—
899C22⋊Q8—44no—
900C22⋊Q8—84no—
901#121—216no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—216no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—216no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—24no—
916#121—24no—
917#121—24no—
918#121—24no—
919#121—216no—
920#121—28no—
921#121—28no—
922#121—216no—
923#121—216no—
924#121—44no—
925#121—48no—
926#121—48no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—84no—
931#121—84no—
932#121C2×D4116yes—
933#121C2×D4116yes—
934#121C2×D4116yes—
935#121C2×D4116yes—
936#120—28no—
937#120—28no—
938#120—216no—
939#120—216no—
940#120—216no—
941#120—216no—
942#120—216no—
943#120—216no—
944#120—216no—
945#120—48no—
946#120—48no—
947#120—84no—
948C4×Q8—28no—
949C4×D4—216no—
950C4×D4—216no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—216no—
958C4×D4—216no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—84no—
966#117—24no—
967#117—24no—
968#117—28no—
969#117—24no—
970#117—24no—
971#117—44no—
972#117—44no—
973#117—42no—
974#117—42no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—28no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4C2×D418yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C22⋊C4—28no—
1026C2×C22⋊C4—216no—
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—48no—
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—42no—
1033C2×C22⋊C4—42no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4—82no—
1036C2×C22⋊C4C2×D4116yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C42—44no—
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—82no—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24—22no—
1168C24—22no—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—28no—
1173C24—41no—
1174C24—42no—
1175C24—42no—
1176C24—41no—
1177C24—42no—
1178C24—42no—
1179C24—41no—
1180C24—41no—
1181C24—42no—
1182C24—42no—
1183C24—44no—
1184C24—44no—
1185C24—44no—
1186C24—44no—
1187C24—44no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24—44no—
1193C24C22×D418yes—
1194C24C22×D414yes—
1195C24C2512yes—
1196C24C2514yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2511yescharacteristic
1202#41—88no—
1203#41—88no—
1204#41—816no—
1205#41—832no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—44no—
1214C2×Q8—41no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—41no—
1218C2×Q8—42no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—88no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—416no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—41no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—88no—
1301C2×D4—816no—
1302C2×D4—816no—
1303C2×D4—816no—
1304C2×D4—832no—
1305C2×D4—832no—
1306C2×D4C22×D418yes—
1307C2×D4C22×D4116yes—
1308C2×D4C22×D4116yes—
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—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—28no—
1338C22×C4—416no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
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—41no—
1355C22×C4—42no—
1356C22×C4—41no—
1357C22×C4—44no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—816no—
1380C22×C4C22×D414yes—
1381C22×C4C22×D414yes—
1382C22×C4C22×D414yes—
1383C22×C4C22×D414yes—
1384C22×C4C22×D414yes—
1385C22×C4C22×D418yes—
1386C22×C4C22×D414yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—28no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4C22×D418yes—
1449C4⋊C4C22×D418yes—
1450C4⋊C4H(5,𝔽2)14yes—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4C22×D4116yes—
1522C22⋊C4C22×D4116yes—
1523C42—24no—
1524C42—24no—
1525C42—28no—
1526C42—28no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—24no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—44no—
1536C42—44no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—24no—
1544C23—21no—
1545C23—21no—
1546C23—24no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—24no—
1552C23—24no—
1553C23—24no—
1554C23—24no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—28no—
1560C23—216no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—44no—
1583C23—48no—
1584C23—44no—
1585C23—48no—
1586C23—48no—
1587C23—84no—
1588C23—82no—
1589C23—84no—
1590C23—82no—
1591C23—84no—
1592C23—82no—
1593C23—82no—
1594C23—84no—
1595C23—84no—
1596C23—88no—
1597C23—84no—
1598C23—88no—
1599C23—88no—
1600C23—88no—
1601C23—88no—
1602C23—162no—
1603C23—164no—
1604C23—162no—
1605C23—164no—
1606C23—162no—
1607C23—162no—
1608C23C23×D412yes—
1609C23C23×D418yes—
1610C23C23×D412yes—
1611C23C23×D412yes—
1612C23#58512yes—
1613C23#58512yes—
1614C23C2611yescharacteristic
1615Q8—48no—
1616Q8—84no—
1617Q8—82no—
1618Q8—82no—
1619Q8—88no—
1620D4—216no—
1621D4—48no—
1622D4—416no—
1623D4—416no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—416no—
1629D4—48no—
1630D4—88no—
1631D4—84no—
1632D4—88no—
1633D4—82no—
1634D4—82no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—88no—
1643D4—88no—
1644D4—84no—
1645D4—84no—
1646D4—164no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—28no—
1658C2×C4—28no—
1659C2×C4—28no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—48no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—88no—
1721C2×C4—84no—
1722C2×C4—82no—
1723C2×C4—82no—
1724C2×C4—84no—
1725C2×C4—88no—
1726C2×C4—84no—
1727C2×C4—88no—
1728C2×C4—88no—
1729C2×C4—88no—
1730C2×C4C23×D418yes—
1731C2×C4C23×D412yes—
1732C2×C4C23×D412yes—
1733C2×C4C23×D412yes—
1734C2×C4C23×D412yes—
1735C2×C4C2×H(5,𝔽2)14yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4#58512yes—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—28no—
1747C22—22no—
1748C22—28no—
1749C22—22no—
1750C22—22no—
1751C22—28no—
1752C22—22no—
1753C22—41no—
1754C22—44no—
1755C22—41no—
1756C22—41no—
1757C22—44no—
1758C22—41no—
1759C22—44no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—44no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—44no—
1786C22—88no—
1787C22—816no—
1788C22—168no—
1789C22—1616no—
1790C22#350014yes—
1791C22C24×D411yescharacteristic
1792C22C22×H(5,𝔽2)11yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58511yescharacteristic
1795C22C2×#58511yescharacteristic
1796C22H(7,𝔽2)11yescharacteristic
1797C22H(7,𝔽2)11yescharacteristic
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—28no—
1802C4—24no—
1803C4—42no—
1804C4—42no—
1805C4—44no—
1806C4—42no—
1807C4—44no—
1808C4—42no—
1809C4—44no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4#349614yes—
1820C2—24no—
1821C2—42no—
1822C2—48no—
1823C2—42no—
1824C2—82no—
1825C2—82no—
1826C2—84no—
1827C2C2×#349611yescharacteristic
1828C2C2×#350011yescharacteristic
1829C2#6284211yescharacteristic
1830C2#6289911yescharacteristic
1831C2#6291011yescharacteristic
1832C2#6291811yescharacteristic
1833C2#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×#3537C2semidirect
2. C2×#3536C2semidirect
3. #49570C2semidirect
4. #49566C2semidirect
5. #47858C2semidirect
6. #47854C2semidirect
7. #45096C2semidirect
8. #45094C2semidirect
9. #45093C2semidirect
10. #45092C2semidirect
11. #44874C2semidirect
12. #44873C2semidirect
13. #44871C2semidirect
14. #44868C2semidirect
15. #39165C2semidirect
16. #38949C2semidirect
17. #38949C2semidirect
18. #38076C2semidirect
19. #36740C2semidirect
20. #36739C2semidirect
21. #36518C2semidirect
22. #36214C2semidirect
23. #35306C2semidirect
24. #35252C2semidirect
25. #35019C2semidirect
26. #35005C2semidirect
27. #34993C2semidirect
28. #34575C2semidirect
29. C2×#2363C2semidirect
32. C2×#562C22semidirect
34. C2×#554C22semidirect
37. C2×#548C22semidirect
38. C2×#547C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
45. C2×#543C22semidirect
46. C2×#542C22semidirect
48. C2×#539C22semidirect
51. C2×#538C22semidirect
52. C2×#537C22semidirect
53. C2×#537C22semidirect
54. C2×#536C22semidirect
56. C2×#535C22semidirect
60. C2×#525C22semidirect
61. C22×C22⋊Q8C22semidirect
64. C22×C4×D4C22semidirect
65. C22×#117C22semidirect
66. #2857C22semidirect
67. #2856C22semidirect
68. #2850C22semidirect
69. #2850C22semidirect
70. #2850C22semidirect
71. #2850C22semidirect
72. #2850C22semidirect
73. #2847C22semidirect
74. #2725C22semidirect
75. #2718C22semidirect
76. #2710C22semidirect
77. #2709C22semidirect
78. #2708C22semidirect
79. #2707C22semidirect
80. #2706C22semidirect
81. #2703C22semidirect
82. #2702C22semidirect
83. #2701C22semidirect
84. #2701C22semidirect
85. #2701C22semidirect
86. #2700C22semidirect
87. #2699C22semidirect
88. #2699C22semidirect
89. #2699C22semidirect
90. #2698C22semidirect
91. #2697C22semidirect
92. #2697C22semidirect
93. #2697C22semidirect
94. #2689C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2687C22semidirect
98. #2686C22semidirect
99. #2685C22semidirect
100. #2684C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2680C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2674C22semidirect
109. #2673C22semidirect
110. #2672C22semidirect
111. #2670C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2663C22semidirect
115. #2663C22semidirect
116. #2661C22semidirect
117. #2661C22semidirect
118. #2659C22semidirect
119. #2656C22semidirect
120. #2639C22semidirect
121. #2639C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2639C22semidirect
125. #2621C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2591C22semidirect
133. #2564C22semidirect
134. #2561C22semidirect
135. #2560C22semidirect
136. #2559C22semidirect
137. #2559C22semidirect
138. #2558C22semidirect
139. #2557C22semidirect
140. #2557C22semidirect
141. #2550C22semidirect
142. #2544C22semidirect
143. #2543C22semidirect
144. #2543C22semidirect
145. #2540C22semidirect
146. #2535C22semidirect
147. #2534C22semidirect
148. #2519C22semidirect
149. #2504C22semidirect
150. #2503C22semidirect
151. #2496C22semidirect
152. #2491C22semidirect
153. #2491C22semidirect
154. #2489C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
157. #2488C22semidirect
158. #2488C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2461C22semidirect
164. #2453C22semidirect
165. #2452C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2445C22semidirect
169. #2445C22semidirect
170. #2444C22semidirect
171. #2444C22semidirect
172. #2442C22semidirect
173. #2439C22semidirect
174. #2436C22semidirect
175. #2435C22semidirect
176. #2435C22semidirect
177. #2435C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2430C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2425C22semidirect
187. #2424C22semidirect
188. #2422C22semidirect
189. #2420C22semidirect
190. #2420C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
193. #2419C22semidirect
194. #2418C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2415C22semidirect
203. #2415C22semidirect
204. #2415C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2413C22semidirect
208. #2412C22semidirect
209. #2412C22semidirect
210. #2412C22semidirect
211. #2411C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2405C22semidirect
221. #2404C22semidirect
222. #2395C22semidirect
223. #2395C22semidirect
224. #2388C22semidirect
225. #2388C22semidirect
226. #2367C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
234. #2361C22semidirect
235. #2352C22semidirect
236. #2349C22semidirect
237. #2339C22semidirect
238. D4×C22⋊C4C22semidirect
239. #2325C22semidirect
240. #2317C22semidirect
241. #2317C22semidirect
242. #2311C22semidirect
243. #2311C22semidirect
244. #2310C22semidirect
245. #2309C22semidirect
246. #2308C22semidirect
247. #2308C22semidirect
248. #2308C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C2×#390C22semidirect
253. C2×#390C22semidirect
254. C2×#389C22semidirect
255. C2×#388C22semidirect
256. C2×#386C22semidirect
257. C2×#386C22semidirect
258. C2×C4×C4⋊C4C22semidirect
259. C2×C4×C22⋊C4C22semidirect
260. C2×C4×C22⋊C4C22semidirect
356. C2×#121D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35372
C2×#35362
#495702
#495662
#478582
#478542
#450962
#450942
#450932
#450922
#448742
#448732
#448712
#448682
#391652
#389492
#380762
#367402
#367392
#365182
#362142
#353062
#352522
#350192
#350052
#349932
#345752
C2×#23632