Finite Group Databasebeta

← #7726074

Subgroups — #7726074

Order 512.

7686 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3543C211yesmaximal, characteristic, complemented
3#52064C214yesmaximal, complemented
4#52032C214yesmaximal, complemented
5#47800C214yesmaximal, complemented
6#47796C214yesmaximal, complemented
7#45387C211yesmaximal, characteristic, complemented
8#45354C211yesmaximal, characteristic, complemented
9#45141C211yesmaximal, characteristic, complemented
10#45141C211yesmaximal, characteristic, complemented
11#45140C211yesmaximal, characteristic, complemented
12#45137C211yesmaximal, characteristic, complemented
13#44935C211yesmaximal, characteristic, complemented
14#44932C211yesmaximal, characteristic, complemented
15#39486C212yesmaximal, complemented
16#38949C212yesmaximal, complemented
17#38076C214yesmaximal, complemented
18#37860C214yesmaximal, complemented
19#37764C212yesmaximal, complemented
20#37748C212yesmaximal, complemented
21#37700C212yesmaximal, complemented
22#37682C212yesmaximal, complemented
23#37555C211yesmaximal, characteristic, complemented
24#36737C214yesmaximal, complemented
25#36214C212yesmaximal, complemented
26#36153C212yesmaximal, complemented
27#35360C214yesmaximal, complemented
28#35326C211yesmaximal, characteristic, complemented
29#35130C211yesmaximal, characteristic, complemented
30#34876C211yesmaximal, characteristic, complemented
31C2×#2328C211yesmaximal, characteristic, complemented
32#3543—216no—
33C2×#560C2214yes—
34#3508—216no—
35C2×#559C2211yescharacteristic
36C2×#559C2211yescharacteristic
37C2×#559C2211yescharacteristic, complemented
38C2×#559C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2212yescomplemented
43C2×#550C2211yescharacteristic, complemented
44C2×#547C2212yescomplemented
45C2×#546C2212yes—
46C2×#546C2212yes—
47C2×#546C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2214yescomplemented
50C2×#546C2212yescomplemented
51C2×D42C2212yes—
52C2×D42C2211yescharacteristic
53C2×D42C2212yes—
54C2×#540C2212yes—
55C2×#540C2212yes—
56C2×#540C2214yescomplemented
57C2×#535C2212yes—
58C2×#535C2212yes—
59C2×#535C2212yescomplemented
60C2×#534C2214yes—
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2212yescomplemented
63C2×#532C2212yescomplemented
64C22×#127C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#518C2212yescomplemented
68C2×C4×#41C2211yescharacteristic, complemented
69C22×C4×D4C2212yescomplemented
70#2857C2211yescharacteristic, complemented
71#2857C2211yescharacteristic, complemented
72#2851C2212yescomplemented
73#2850C2211yescharacteristic
74#2850C2211yescharacteristic
75#2850C2212yescomplemented
76#2847C2214yescomplemented
77#2847C2214yescomplemented
78#2822C2212yescomplemented
79#2820C2212yescomplemented
80#2724C2214yescomplemented
81#2717C2214yescomplemented
82#2717C2214yescomplemented
83#2717C2214yescomplemented
84#2709C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2708C2214yescomplemented
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2699C2214yescomplemented
95#2697C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2686C2214yescomplemented
101#2686C2214yescomplemented
102#2686C2214yescomplemented
103#2686C2214yescomplemented
104#2686C2214yescomplemented
105#2684C2214yescomplemented
106#2684C2214yescomplemented
107#2682C2214yescomplemented
108#2678C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2671C2214yescomplemented
116#2669C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2668C2214yescomplemented
120#2660C2211yescharacteristic, complemented
121#2659C2212yescomplemented
122#2658C2211yescharacteristic, complemented
123#2642C2211yescharacteristic, complemented
124#2640C2211yescharacteristic, complemented
125#2639C2212yes—
126#2637C2212yescomplemented
127#2637C2214yescomplemented
128#2636C2212yescomplemented
129#2628C2212yescomplemented
130#2621C2212yescomplemented
131#2617C2214yescomplemented
132#2617C2214yescomplemented
133#2611C2212yescomplemented
134#2611C2214yescomplemented
135#2610C2212yescomplemented
136#2609C2214yescomplemented
137#2604C2212yescomplemented
138#2604C2214yescomplemented
139#2603C2212yescomplemented
140#2581C2211yescharacteristic, complemented
141#2581C2211yescharacteristic, complemented
142#2581C2211yescharacteristic, complemented
143#2580C2211yescharacteristic, complemented
144#2564C2212yescomplemented
145#2564C2214yescomplemented
146#2547C2212yescomplemented
147#2544C2212yescomplemented
148#2543C2212yes—
149#2543C2214yescomplemented
150#2537C2212yescomplemented
151#2536C2211yescharacteristic, complemented
152#2536C2211yescharacteristic, complemented
153#2536C2211yescharacteristic, complemented
154#2535C2211yescharacteristic, complemented
155#2535C2212yescomplemented
156#2534C2214yescomplemented
157#2498C2212yescomplemented
158#2498C2212yescomplemented
159#2498C2214yescomplemented
160#2498C2214yescomplemented
161#2486C2214yescomplemented
162#2447C2212yescomplemented
163#2447C2212yescomplemented
164#2447C2212yescomplemented
165#2445C2212yescomplemented
166#2444C2214yescomplemented
167#2444C2214yescomplemented
168#2444C2214yescomplemented
169#2444C2214yescomplemented
170#2444C2214yescomplemented
171#2444C2214yescomplemented
172#2443C2214yescomplemented
173#2443C2214yescomplemented
174#2443C2214yescomplemented
175#2443C2214yescomplemented
176#2443C2214yescomplemented
177#2443C2214yescomplemented
178#2435C2212yescomplemented
179#2432C2212yescomplemented
180#2432C2212yescomplemented
181#2431C2212yescomplemented
182#2430C2212yescomplemented
183#2430C2212yescomplemented
184#2430C2214yescomplemented
185#2430C2214yescomplemented
186#2430C2214yescomplemented
187#2428C2212yescomplemented
188#2427C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2425C2214yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2419C2214yescomplemented
200#2419C2214yescomplemented
201#2419C2214yescomplemented
202#2419C2214yescomplemented
203#2419C2214yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2416C2212yes—
215#2416C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2412C2214yescomplemented
221#2412C2214yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2406C2214yescomplemented
230#2406C2214yescomplemented
231#2405C2214yescomplemented
232#2404C2214yescomplemented
233#2399C2211yescharacteristic, complemented
234#2398C2211yescharacteristic, complemented
235#2398C2211yescharacteristic, complemented
236#2397C2211yescharacteristic, complemented
237#2349C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239#2339C2212yescomplemented
240#2339C2212yescomplemented
241#2339C2212yescomplemented
242D4×C22⋊C4C2212yescomplemented
243#2328C2211yescharacteristic
244#2328C2211yescharacteristic
245#2328C2211yescharacteristic, complemented
246#2328C2212yescomplemented
247#2328C2214yescomplemented
248#2328C2212yescomplemented
249#2328C2211yescharacteristic, complemented
250#2328C2214yescomplemented
251#2327C2211yescharacteristic, complemented
252#2327C2211yescharacteristic, complemented
253#2326C2211yescharacteristic, complemented
254#2326C2211yescharacteristic, complemented
255#2325C2214yescomplemented
256#2315C2214yescomplemented
257#2308C2214yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C2×#390C2212yescomplemented
261#2290C2212yescomplemented
262#2290C2212yescomplemented
263C2×#386C2214yescomplemented
264C2×#386C2214yescomplemented
265C2×#386C2214yescomplemented
266C2×#382C2211yescharacteristic, complemented
267C2×#380C2214yescomplemented
268C2×#376C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2311yescharacteristic
273C22×#41C2314yes—
274C22×#41C2312yes—
275C23×D4C2314yes—
276C23×D4C2312yes—
277C23×D4C2312yes—
278C23×D4C2312yes—
279C23×D4C2312yes—
280C23×D4C2312yes—
281C24×C4C2314yes—
282#560—232no—
283#559—28no—
284#559—28no—
285#559—28no—
286#559—216no—
287#550—28no—
288#550—28no—
289#550—28no—
290#550—28no—
291#550—216no—
292#547—48no—
293#546—216no—
294#546—216no—
295#546—216no—
296#546—216no—
297#546—232no—
298#546—48no—
299D42—216no—
300D42—216no—
301D42—28no—
302#540—216no—
303#540—216no—
304#540—232no—
305#535—216no—
306#535—216no—
307#535—216no—
308#534—232no—
309#533—28no—
310#532—216no—
311#532—216no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127D4116yescomplemented
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326#529—28no—
327#529—28no—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2311yescharacteristic
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409#518—216no—
410C4×#41—28no—
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×D4—48no—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2314yes—
455C22×C4⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2314yes—
463C22×C22⋊C4C2314yes—
464C22×C42C2311yescharacteristic
465C22×C42C2312yes—
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468#400C2314yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2314yes—
473#400C2312yes—
474#400C2312yes—
475#400C2314yes—
476#399C2314yes—
477#399C2312yes—
478#399C2314yes—
479#399C2312yes—
480#399C2312yes—
481#399C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2312yes—
486#398C2312yes—
487#398C2312yes—
488#398C2314yes—
489#398C2312yes—
490#398C2314yes—
491#398C2314yes—
492#398C2312yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#395C2314yes—
520#395C2312yes—
521#395C2312yes—
522#395C2312yes—
523#395C2312yes—
524#395C2312yes—
525#395C2314yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#393C2314yes—
557#393C2312yes—
558#393C2312yes—
559#393C2312yes—
560#393C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2312yes—
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#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#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
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#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2312yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758#376C2311yescharacteristic
759#376C2311yescharacteristic
760#376C2312yes—
761#376C2312yes—
762#376C2311yescharacteristic
763#376C2311yescharacteristic
764C2×#95C2312yes—
765C2×#95C2312yes—
766C2×#95C2314yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C2×#95C2314yes—
770C2×#95C2312yes—
771C2×#95C2312yes—
772C25C2414yes—
773C25C2414yes—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—216no—
777C2×#41—28no—
778C2×#41—28no—
779C2×#41—24no—
780C2×#41—44no—
781C2×#41—44no—
782C2×#41—44no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—44no—
786C2×#41—44no—
787C2×#41—84no—
788C2×#41—84no—
789C2×#41—84no—
790C22×Q8C2411yescharacteristic
791C22×Q8C2411yescharacteristic
792C22×Q8C2411yescharacteristic
793C22×Q8C2411yescharacteristic
794C22×Q8C2411yescharacteristic
795C22×Q8C2412yes—
796C22×D4—216no—
797C22×D4—28no—
798C22×D4—28no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4—48no—
804C22×D4—48no—
805C22×D4—48no—
806C22×D4—84no—
807C22×D4—84no—
808C22×D4C2×D4116yes—
809C22×D4C2×D4116yes—
810C22×D4C2×D4116yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2411yescharacteristic
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C23×C4—48no—
840C23×C4—48no—
841C23×C4—84no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—42no—
868#127—28no—
869#127—28no—
870#127—28no—
871#127—28no—
872#127C2×D4116yes—
873#127C2×D4116yes—
874#127C2×D418yes—
875#127C2×D418yes—
876#127C2×D4116yes—
877#126—28no—
878#126—28no—
879#125—24no—
880#125—24no—
881#125—28no—
882#124—28no—
883#124—28no—
884#124—216no—
885#124—28no—
886#124—28no—
887#124—28no—
888#124—28no—
889#124—24no—
890#124—24no—
891#124—24no—
892#124—42no—
893#123—216no—
894#123—216no—
895#123—216no—
896#123—216no—
897#123—216no—
898#123—216no—
899#123—216no—
900#123—216no—
901#123—28no—
902#123—28no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—84no—
907#123—84no—
908#123—84no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—28no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917#121—216no—
918#121—216no—
919#121—28no—
920#121—28no—
921#121—216no—
922#121—216no—
923#121—216no—
924#121—216no—
925#121—216no—
926#121—216no—
927#121—216no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—216no—
933#121—216no—
934#121—216no—
935#121—216no—
936#121—216no—
937#121—216no—
938#121—24no—
939#121—24no—
940#121—48no—
941#121—44no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—84no—
947#121—84no—
948#120—216no—
949#120—216no—
950#120—216no—
951#120—216no—
952#120—216no—
953#120—216no—
954#120—216no—
955#120—216no—
956#120—48no—
957#120—84no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—24no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—28no—
965C4×D4—216no—
966C4×D4—216no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—216no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993C4×D4—44no—
994#117—24no—
995#117—28no—
996#117—28no—
997#117—28no—
998#117—28no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—48no—
1001C2×C4⋊C4—84no—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C22⋊C4—216no—
1048C2×C22⋊C4—216no—
1049C2×C22⋊C4—216no—
1050C2×C22⋊C4—48no—
1051C2×C22⋊C4—48no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4—84no—
1054C2×C22⋊C4—84no—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C42—28no—
1123C2×C42—24no—
1124C2×C42—42no—
1125C2×C42C2×D418yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24—28no—
1192C24—28no—
1193C24—28no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24—44no—
1204C24C22×D4116yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2514yes—
1209C24C2514yes—
1210C24C2511yescharacteristic
1211#41—416no—
1212#41—816no—
1213#41—816no—
1214#41—816no—
1215#41—816no—
1216#41—832no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—44no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—28no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—432no—
1261C2×D4—44no—
1262C2×D4—432no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—816no—
1303C2×D4—816no—
1304C2×D4—816no—
1305C2×D4—832no—
1306C2×D4C22×D418yes—
1307C2×D4C22×D418yes—
1308C2×D4C22×D418yes—
1309C2×D4C22×D4116yes—
1310C2×D4C22×D418yes—
1311C2×D4C22×D4116yes—
1312C2×D4C22×D418yes—
1313C2×D4C22×D418yes—
1314C2×D4C22×D4116yes—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—28no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—832no—
1376C22×C4C22×D414yes—
1377C22×C4C22×D414yes—
1378C22×C4C22×D414yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—24no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
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—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—42no—
1528C42C22×D414yes—
1529C42C22×D414yes—
1530C42C22×D414yes—
1531C42C22×D414yes—
1532C42H(5,𝔽2)14yes—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—232no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—24no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—416no—
1569C23—416no—
1570C23—88no—
1571C23—88no—
1572C23—88no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—88no—
1579C23—164no—
1580C23—164no—
1581C23C23×D418yes—
1582C23C23×D418yes—
1583C23C23×D412yes—
1584C23#58514yes—
1585C23C2611yescharacteristic
1586Q8—44no—
1587Q8—44no—
1588Q8—48no—
1589Q8—44no—
1590Q8—44no—
1591Q8—44no—
1592D4—216no—
1593D4—216no—
1594D4—416no—
1595D4—416no—
1596D4—48no—
1597D4—48no—
1598D4—48no—
1599D4—48no—
1600D4—416no—
1601D4—44no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—84no—
1619D4—164no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—28no—
1629C2×C4—28no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—416no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—88no—
1689C2×C4—84no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4C23×D412yes—
1701C2×C4C23×D412yes—
1702C2×C4C23×D412yes—
1703C2×C4C23×D412yes—
1704C2×C4C23×D412yes—
1705C2×C4C23×D412yes—
1706C2×C4C2×H(5,𝔽2)14yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C22—22no—
1710C22—22no—
1711C22—24no—
1712C22—24no—
1713C22—28no—
1714C22—28no—
1715C22—28no—
1716C22—28no—
1717C22—28no—
1718C22—28no—
1719C22—44no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—44no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—832no—
1747C22—1616no—
1748C22#348514yes—
1749C22C24×D411yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58512yes—
1753C22H(7,𝔽2)12yes—
1754C4—22no—
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—24no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—42no—
1778C4#349614yes—
1779C2—24no—
1780C2—48no—
1781C2—48no—
1782C2—82no—
1783C2—82no—
1784C2—82no—
1785C2C2×#349611yescharacteristic
1786C2C2×#348511yescharacteristic
1787C2#6284211yescharacteristic
1788C2#6292412yes—
1789C2#6294112yes—
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×#3508C2semidirect
2. C2×#3543C2semidirect
3. #52064C2semidirect
4. #52032C2semidirect
5. #47800C2semidirect
6. #47796C2semidirect
7. #45387C2semidirect
8. #45354C2semidirect
9. #45141C2semidirect
10. #45141C2semidirect
11. #45140C2semidirect
12. #45137C2semidirect
13. #44935C2semidirect
14. #44932C2semidirect
15. #39486C2semidirect
16. #38949C2semidirect
17. #38076C2semidirect
18. #37860C2semidirect
19. #37764C2semidirect
20. #37748C2semidirect
21. #37700C2semidirect
22. #37682C2semidirect
23. #37555C2semidirect
24. #36737C2semidirect
25. #36214C2semidirect
26. #36153C2semidirect
27. #35360C2semidirect
28. #35326C2semidirect
29. #35130C2semidirect
30. #34876C2semidirect
31. C2×#2328C2semidirect
37. C2×#559C22semidirect
38. C2×#559C22semidirect
42. C2×#550C22semidirect
43. C2×#550C22semidirect
44. C2×#547C22semidirect
47. C2×#546C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
56. C2×#540C22semidirect
59. C2×#535C22semidirect
61. C2×#533C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
67. C2×#518C22semidirect
68. C2×C4×#41C22semidirect
69. C22×C4×D4C22semidirect
70. #2857C22semidirect
71. #2857C22semidirect
72. #2851C22semidirect
75. #2850C22semidirect
76. #2847C22semidirect
77. #2847C22semidirect
78. #2822C22semidirect
79. #2820C22semidirect
80. #2724C22semidirect
81. #2717C22semidirect
82. #2717C22semidirect
83. #2717C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2708C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2699C22semidirect
95. #2697C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2686C22semidirect
101. #2686C22semidirect
102. #2686C22semidirect
103. #2686C22semidirect
104. #2686C22semidirect
105. #2684C22semidirect
106. #2684C22semidirect
107. #2682C22semidirect
108. #2678C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
115. #2671C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2668C22semidirect
120. #2660C22semidirect
121. #2659C22semidirect
122. #2658C22semidirect
123. #2642C22semidirect
124. #2640C22semidirect
126. #2637C22semidirect
127. #2637C22semidirect
128. #2636C22semidirect
129. #2628C22semidirect
130. #2621C22semidirect
131. #2617C22semidirect
132. #2617C22semidirect
133. #2611C22semidirect
134. #2611C22semidirect
135. #2610C22semidirect
136. #2609C22semidirect
137. #2604C22semidirect
138. #2604C22semidirect
139. #2603C22semidirect
140. #2581C22semidirect
141. #2581C22semidirect
142. #2581C22semidirect
143. #2580C22semidirect
144. #2564C22semidirect
145. #2564C22semidirect
146. #2547C22semidirect
147. #2544C22semidirect
149. #2543C22semidirect
150. #2537C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
153. #2536C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2498C22semidirect
158. #2498C22semidirect
159. #2498C22semidirect
160. #2498C22semidirect
161. #2486C22semidirect
162. #2447C22semidirect
163. #2447C22semidirect
164. #2447C22semidirect
165. #2445C22semidirect
166. #2444C22semidirect
167. #2444C22semidirect
168. #2444C22semidirect
169. #2444C22semidirect
170. #2444C22semidirect
171. #2444C22semidirect
172. #2443C22semidirect
173. #2443C22semidirect
174. #2443C22semidirect
175. #2443C22semidirect
176. #2443C22semidirect
177. #2443C22semidirect
178. #2435C22semidirect
179. #2432C22semidirect
180. #2432C22semidirect
181. #2431C22semidirect
182. #2430C22semidirect
183. #2430C22semidirect
184. #2430C22semidirect
185. #2430C22semidirect
186. #2430C22semidirect
187. #2428C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2425C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2424C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2419C22semidirect
200. #2419C22semidirect
201. #2419C22semidirect
202. #2419C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
215. #2416C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2412C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2406C22semidirect
230. #2406C22semidirect
231. #2405C22semidirect
232. #2404C22semidirect
233. #2399C22semidirect
234. #2398C22semidirect
235. #2398C22semidirect
236. #2397C22semidirect
237. #2349C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2339C22semidirect
240. #2339C22semidirect
241. #2339C22semidirect
242. D4×C22⋊C4C22semidirect
245. #2328C22semidirect
246. #2328C22semidirect
247. #2328C22semidirect
248. #2328C22semidirect
249. #2328C22semidirect
250. #2328C22semidirect
251. #2327C22semidirect
252. #2327C22semidirect
253. #2326C22semidirect
254. #2326C22semidirect
255. #2325C22semidirect
256. #2315C22semidirect
257. #2308C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C2×#390C22semidirect
261. #2290C22semidirect
262. #2290C22semidirect
263. C2×#386C22semidirect
264. C2×#386C22semidirect
265. C2×#386C22semidirect
266. C2×#382C22semidirect
267. C2×#380C22semidirect
268. C2×#376C22semidirect
316. C2×#127D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35432
#520642
#520322
#478002
#477962
#453872
#453542
#451412
#451402
#451372
#449352
#449322
#394862
#389492
#380762
#378602
#377642
#377482
#377002
#376822
#375552
#367372
#362142
#361532
#353602
#353262
#351302
#348762
C2×#23282