Finite Group Databasebeta

← #7646730

Subgroups — #7646730

Order 512.

7150 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3492C211yesmaximal, characteristic, complemented
2C22×#539C211yesmaximal, characteristic, complemented
3#40527C214yesmaximal, complemented
4#40526C214yesmaximal, complemented
5#40523C214yesmaximal, complemented
6#40522C214yesmaximal, complemented
7#38047C212yesmaximal, complemented
8#38045C212yesmaximal, complemented
9#38031C212yesmaximal, complemented
10#38029C212yesmaximal, complemented
11#37843C212yesmaximal, complemented
12#37841C212yesmaximal, complemented
13#37655C212yesmaximal, complemented
14#37653C212yesmaximal, complemented
15#37452C212yesmaximal, complemented
16#37447C211yesmaximal, characteristic, complemented
17#37446C211yesmaximal, characteristic, complemented
18#37130C214yesmaximal, complemented
19#36742C212yesmaximal, complemented
20#36741C212yesmaximal, complemented
21#35366C214yesmaximal, complemented
22#35306C211yesmaximal, characteristic, complemented
23#35252C211yesmaximal, characteristic, complemented
24#35064C212yesmaximal, complemented
25#35063C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34737C212yesmaximal, complemented
29C2×#2344C211yesmaximal, characteristic, complemented
30#3492—216no—
31C2×#554C2212yescomplemented
32C2×#554C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#553C2212yescomplemented
35C2×#552C2212yes—
36C2×#552C2212yes—
37C2×#547C2212yes—
38C2×#547C2212yes—
39C2×#544C2211yescharacteristic, complemented
40C2×#539—216no—
41C2×#539C2212yes—
42C2×#539C2212yes—
43C2×#539C2214yes—
44C2×#539C2214yes—
45C2×#539C2212yes—
46C2×#539C2212yes—
47C2×#539C2212yescomplemented
48C2×#539C2211yescharacteristic, complemented
49C2×#539C2211yescharacteristic, complemented
50C2×#537C2211yescharacteristic, complemented
51C2×#536C2211yescharacteristic
52C2×#535C2211yescharacteristic
53C22×#126C2212yes—
54C22×#125C2212yes—
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#525C2212yes—
58C2×#525C2212yes—
59C2×#525C2212yes—
60C22×#123C2212yes—
61C22×#123C2212yes—
62C22×C22⋊Q8C2212yes—
63C22×C22⋊Q8C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C2×#520C2212yescomplemented
66C22×C4×D4C2212yes—
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C23×C4⋊C4C2211yescharacteristic
70#2857C2212yescomplemented
71#2856C2212yes—
72#2854C2214yescomplemented
73#2854C2214yescomplemented
74#2853C2212yes—
75#2853C2212yes—
76#2850C2212yes—
77#2850C2212yescomplemented
78#2849C2212yes—
79#2849C2212yes—
80#2817C2212yescomplemented
81#2816C2212yes—
82#2816C2212yescomplemented
83#2815C2212yes—
84#2814C2214yescomplemented
85#2813C2214yescomplemented
86#2727C2214yescomplemented
87#2726C2214yescomplemented
88#2725C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2721C2214yescomplemented
92#2720C2214yescomplemented
93#2719C2214yescomplemented
94#2716C2214yescomplemented
95#2714C2214yescomplemented
96#2713C2214yescomplemented
97#2711C2214yescomplemented
98#2707C2214yescomplemented
99#2707C2214yescomplemented
100#2705C2214yescomplemented
101#2705C2214yescomplemented
102#2704C2214yescomplemented
103#2704C2214yescomplemented
104#2702C2214yescomplemented
105#2702C2214yescomplemented
106#2696C2214yescomplemented
107#2694C2214yescomplemented
108#2692C2214yescomplemented
109#2690C2214yescomplemented
110#2683C2214yescomplemented
111#2682C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2677C2214yescomplemented
115#2676C2214yescomplemented
116#2674C2214yescomplemented
117#2673C2214yescomplemented
118#2663C2214yescomplemented
119#2661C2214yescomplemented
120#2659C2212yescomplemented
121#2656C2212yes—
122#2639C2212yes—
123#2639C2212yescomplemented
124#2638C2214yescomplemented
125#2638C2214yescomplemented
126#2635C2214yes—
127#2635C2214yescomplemented
128#2630C2214yescomplemented
129#2630C2214yescomplemented
130#2627C2212yes—
131#2626C2212yes—
132#2623C2212yes—
133#2623C2212yes—
134#2621C2212yescomplemented
135#2620C2212yes—
136#2620C2212yescomplemented
137#2619C2212yes—
138#2618C2212yes—
139#2618C2214yescomplemented
140#2618C2214yescomplemented
141#2617C2212yes—
142#2614C2212yes—
143#2613C2212yes—
144#2602C2214yescomplemented
145#2602C2214yescomplemented
146#2600C2214yescomplemented
147#2600C2214yescomplemented
148#2591C2212yes—
149#2583C2212yes—
150#2579C2212yes—
151#2579C2212yes—
152#2564C2214yescomplemented
153#2564C2214yescomplemented
154#2561C2212yes—
155#2560C2214yescomplemented
156#2560C2214yescomplemented
157#2558C2214yescomplemented
158#2558C2214yescomplemented
159#2556C2214yescomplemented
160#2556C2214yescomplemented
161#2554C2214yescomplemented
162#2554C2214yescomplemented
163#2543C2214yes—
164#2543C2214yescomplemented
165#2539C2212yes—
166#2534C2212yes—
167#2534C2212yes—
168#2519C2214yescomplemented
169#2519C2214yescomplemented
170#2512C2214yescomplemented
171#2506C2214yescomplemented
172#2498C2214yescomplemented
173#2498C2214yescomplemented
174#2484C2212yes—
175#2484C2212yes—
176#2482C2212yes—
177#2482C2212yes—
178#2481C2214yescomplemented
179#2479C2214yescomplemented
180#2477C2214yescomplemented
181#2475C2214yescomplemented
182#2473C2214yescomplemented
183#2471C2214yescomplemented
184#2469C2214yescomplemented
185#2467C2214yescomplemented
186#2465C2214yescomplemented
187#2463C2214yescomplemented
188#2462C2214yescomplemented
189#2461C2214yescomplemented
190#2461C2214yescomplemented
191#2460C2214yescomplemented
192#2458C2214yescomplemented
193#2456C2214yescomplemented
194#2452C2214yescomplemented
195#2449C2214yescomplemented
196#2445C2214yescomplemented
197#2443C2214yescomplemented
198#2430C2214yescomplemented
199#2430C2214yescomplemented
200#2417C2214yescomplemented
201#2417C2214yescomplemented
202#2416C2214yes—
203#2416C2214yescomplemented
204#2415C2214yescomplemented
205#2415C2214yescomplemented
206#2414C2214yes—
207#2414C2214yescomplemented
208#2413C2212yes—
209#2413C2212yes—
210#2413C2212yes—
211#2413C2212yes—
212#2412C2212yes—
213#2412C2212yes—
214#2412C2212yes—
215#2412C2212yes—
216#2411C2212yes—
217#2411C2212yes—
218#2411C2212yes—
219#2411C2212yes—
220#2410C2212yes—
221#2410C2212yes—
222#2410C2212yes—
223#2410C2212yes—
224#2406C2212yes—
225#2406C2212yes—
226#2404C2212yes—
227#2404C2212yes—
228#2392C2214yescomplemented
229#2392C2214yescomplemented
230#2344C2212yes—
231#2344C2212yes—
232#2344C2212yes—
233#2344C2212yes—
234#2344C2214yescomplemented
235#2344C2214yescomplemented
236#2325C2214yescomplemented
237#2325C2214yescomplemented
238#2322C2212yes—
239#2322C2212yes—
240#2321C2212yes—
241#2321C2212yes—
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2311C2211yescharacteristic
245#2311C2211yescharacteristic
246#2310C2211yescharacteristic
247#2309C2211yescharacteristic
248C4×#121C2214yescomplemented
249C4×#121C2214yescomplemented
250#2297C2212yes—
251#2296C2212yes—
252C2×#389C2212yescomplemented
253C2×#387C2212yescomplemented
254C2×#387C2212yescomplemented
255#2280C2212yes—
256C2×#381C2211yescharacteristic
257C2×#381C2211yescharacteristic
258C2×#380C2211yescharacteristic
259C2×C4×C4⋊C4C2212yescomplemented
260C2×C4×C22⋊C4C2211yescharacteristic
261C22×#41C2311yescharacteristic
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2312yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C24×C4C2312yes—
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#554—216no—
273#554—216no—
274#553—216no—
275#553—216no—
276#552—216no—
277#552—216no—
278#547—216no—
279#547—216no—
280#544—28no—
281#539—216no—
282#539—216no—
283#539—216no—
284#539—216no—
285#539—232no—
286#539—232no—
287#539—216no—
288#539—28no—
289#539—28no—
290#537—28no—
291#536—44no—
292#535—44no—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×#127C2312yes—
297C2×#126—216no—
298C2×#126C2312yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#126C2314yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#125—216no—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319#525—216no—
320#525—216no—
321#525—28no—
322#525—28no—
323#525—48no—
324C2×#123—216no—
325C2×#123—216no—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×C22⋊Q8—28no—
349C2×C22⋊Q8—216no—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×#121—28no—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401#520—216no—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×D4—216no—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×#117—44no—
426C2×#117—44no—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2314yes—
442C22×C4⋊C4D4116yescomplemented
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C42C2312yes—
472C22×C42C2312yes—
473C22×C42C2312yes—
474C22×C42C2312yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
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#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
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#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2314yes—
575#391C2312yes—
576#391C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#388C2314yes—
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#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#384C2312yes—
704#384C2312yes—
705#382C2312yes—
706#382C2312yes—
707#381C2312yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#379C2312yes—
730#379C2312yes—
731#379C2312yes—
732#379C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2314yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C2×#95C2312yes—
750C2×#95C2312yes—
751C2×#95C2312yes—
752C25C2411yescharacteristic
753C25C2412yes—
754C2×#41—28no—
755C2×#41—28no—
756C2×#41—24no—
757C2×#41—24no—
758C2×#41—48no—
759C2×#41—44no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—44no—
763C2×#41—42no—
764C2×#41—42no—
765C22×Q8—24no—
766C22×Q8—42no—
767C22×Q8—42no—
768C22×Q8C2412yes—
769C22×Q8C2412yes—
770C22×Q8C2412yes—
771C22×Q8C2412yes—
772C22×Q8C2411yescharacteristic
773C22×Q8C2411yescharacteristic
774C22×D4—28no—
775C22×D4—24no—
776C22×D4—42no—
777C22×D4—42no—
778C22×D4—48no—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C22×D4C2411yescharacteristic
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C23×C4—28no—
798C23×C4—42no—
799C23×C4—42no—
800C23×C4—44no—
801C23×C4—42no—
802C23×C4—42no—
803C23×C4—44no—
804C23×C4—44no—
805C23×C4C2×D418yes—
806C23×C4C2×D418yes—
807C23×C4C2×D418yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—44no—
840#127—44no—
841#126—216no—
842#126—216no—
843#126—216no—
844#126—216no—
845#126—28no—
846#126—28no—
847#126—28no—
848#126—28no—
849#125—216no—
850#125—216no—
851#125—216no—
852#125—216no—
853#125—28no—
854#125—28no—
855#125—28no—
856#125—28no—
857#125—28no—
858#125—28no—
859#124—44no—
860#124—44no—
861#123—216no—
862#123—216no—
863#123—216no—
864#123—216no—
865#123—28no—
866#123—28no—
867#123—28no—
868#123—28no—
869#123—28no—
870#123—28no—
871#123—216no—
872#123—216no—
873#123—216no—
874#123—216no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123—44no—
881#123—44no—
882#123—44no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—216no—
896C22⋊Q8—216no—
897C22⋊Q8—216no—
898C22⋊Q8—216no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—24no—
913#121—24no—
914#121—28no—
915#121—28no—
916#121—24no—
917#121—24no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—48no—
926#121—48no—
927#120—28no—
928#120—28no—
929#120—28no—
930#120—44no—
931#120—44no—
932#120—44no—
933C4×Q8—28no—
934C4×Q8—28no—
935C4×D4—216no—
936C4×D4—216no—
937C4×D4—216no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—48no—
954C4×D4—48no—
955#117—28no—
956#117—28no—
957#117—24no—
958#117—24no—
959#117—28no—
960#117—28no—
961#117—28no—
962#117—24no—
963#117—24no—
964#117—48no—
965#117—44no—
966#117—44no—
967#117—42no—
968#117—44no—
969#117—42no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—28no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—28no—
977C2×C4⋊C4—28no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4C2×D418yes—
982C2×C4⋊C4C2×D4116yes—
983C2×C4⋊C4C2×D4116yes—
984C2×C4⋊C4C2×D418yes—
985C2×C4⋊C4C2×D418yes—
986C2×C4⋊C4C2×D418yes—
987C2×C4⋊C4C2×D4116yes—
988C2×C4⋊C4C2×D4116yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C22⋊C4—28no—
1050C2×C22⋊C4—28no—
1051C2×C22⋊C4—28no—
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—28no—
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—42no—
1056C2×C22⋊C4—42no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊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⋊C4C2411yescharacteristic
1120C2×C42—28no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
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—
1176C24—22no—
1177C24—22no—
1178C24—24no—
1179C24—24no—
1180C24—24no—
1181C24—24no—
1182C24—42no—
1183C24—44no—
1184C24—44no—
1185C24C22×D414yes—
1186C24C2514yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192#41—432no—
1193#41—816no—
1194#41—88no—
1195#41—88no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—41no—
1206C2×Q8—42no—
1207C2×Q8—41no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—88no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—432no—
1264C2×D4—88no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—416no—
1299C22×C4—416no—
1300C22×C4—416no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—816no—
1334C22×C4C22×D418yes—
1335C22×C4C22×D414yes—
1336C22×C4C22×D414yes—
1337C22×C4C22×D414yes—
1338C22×C4C22×D414yes—
1339C22×C4C22×D418yes—
1340C22×C4C22×D414yes—
1341C22×C4C22×D418yes—
1342C22×C4C22×D414yes—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×D418yes—
1347C22×C4C22×D414yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4C22×D418yes—
1424C4⋊C4C22×D418yes—
1425C4⋊C4C22×D418yes—
1426C4⋊C4C22×D418yes—
1427C4⋊C4C22×D418yes—
1428C4⋊C4C22×D418yes—
1429C4⋊C4C22×D418yes—
1430C4⋊C4C22×D418yes—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
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—44no—
1492C22⋊C4H(5,𝔽2)14yes—
1493C42—28no—
1494C42—28no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—28no—
1502C42—24no—
1503C42—24no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—42no—
1508C42—42no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—28no—
1519C23—28no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—24no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—44no—
1538C23—48no—
1539C23—48no—
1540C23—48no—
1541C23—48no—
1542C23—48no—
1543C23—88no—
1544C23—88no—
1545C23C23×D412yes—
1546C23C23×D412yes—
1547C23C23×D412yes—
1548C23C2×H(5,𝔽2)12yes—
1549C23#58514yes—
1550C23#58512yes—
1551C23C2611yescharacteristic
1552Q8—48no—
1553Q8—84no—
1554Q8—84no—
1555Q8—84no—
1556Q8—82no—
1557Q8—82no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—416no—
1562D4—416no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—88no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571D4—82no—
1572D4—82no—
1573D4—88no—
1574D4—164no—
1575D4—164no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—28no—
1593C2×C4—28no—
1594C2×C4—216no—
1595C2×C4—28no—
1596C2×C4—28no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4C23×D414yes—
1660C2×C4C23×D412yes—
1661C2×C4C23×D414yes—
1662C2×C4C23×D414yes—
1663C2×C4C23×D412yes—
1664C2×C4C23×D414yes—
1665C2×C4C23×D412yes—
1666C2×C4C23×D412yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—416no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—44no—
1689C22—44no—
1690C22—44no—
1691C22—44no—
1692C22—44no—
1693C22—44no—
1694C22—44no—
1695C22—44no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—816no—
1700C22#344914yes—
1701C22#349614yes—
1702C22C24×D411yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58512yes—
1706C222−1+612yes—
1707C4—24no—
1708C4—22no—
1709C4—24no—
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—24no—
1714C4—24no—
1715C4—24no—
1716C4—44no—
1717C4—42no—
1718C4—42no—
1719C4—44no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—44no—
1725C4—42no—
1726C4—44no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C2—24no—
1731C2—24no—
1732C2—42no—
1733C2—82no—
1734C2—82no—
1735C2—84no—
1736C2C2×#344911yescharacteristic
1737C2C2×#349611yescharacteristic
1738C2#6284811yescharacteristic
1739C2#6289812yes—
1740C2#6290912yes—
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×#3492C2semidirect
2. C22×#539C2semidirect
3. #40527C2semidirect
4. #40526C2semidirect
5. #40523C2semidirect
6. #40522C2semidirect
7. #38047C2semidirect
8. #38045C2semidirect
9. #38031C2semidirect
10. #38029C2semidirect
11. #37843C2semidirect
12. #37841C2semidirect
13. #37655C2semidirect
14. #37653C2semidirect
15. #37452C2semidirect
16. #37447C2semidirect
17. #37446C2semidirect
18. #37130C2semidirect
19. #36742C2semidirect
20. #36741C2semidirect
21. #35366C2semidirect
22. #35306C2semidirect
23. #35252C2semidirect
24. #35064C2semidirect
25. #35063C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34737C2semidirect
29. C2×#2344C2semidirect
31. C2×#554C22semidirect
32. C2×#554C22semidirect
33. C2×#553C22semidirect
34. C2×#553C22semidirect
39. C2×#544C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
50. C2×#537C22semidirect
65. C2×#520C22semidirect
70. #2857C22semidirect
72. #2854C22semidirect
73. #2854C22semidirect
77. #2850C22semidirect
80. #2817C22semidirect
82. #2816C22semidirect
84. #2814C22semidirect
85. #2813C22semidirect
86. #2727C22semidirect
87. #2726C22semidirect
88. #2725C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2721C22semidirect
92. #2720C22semidirect
93. #2719C22semidirect
94. #2716C22semidirect
95. #2714C22semidirect
96. #2713C22semidirect
97. #2711C22semidirect
98. #2707C22semidirect
99. #2707C22semidirect
100. #2705C22semidirect
101. #2705C22semidirect
102. #2704C22semidirect
103. #2704C22semidirect
104. #2702C22semidirect
105. #2702C22semidirect
106. #2696C22semidirect
107. #2694C22semidirect
108. #2692C22semidirect
109. #2690C22semidirect
110. #2683C22semidirect
111. #2682C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2677C22semidirect
115. #2676C22semidirect
116. #2674C22semidirect
117. #2673C22semidirect
118. #2663C22semidirect
119. #2661C22semidirect
120. #2659C22semidirect
123. #2639C22semidirect
124. #2638C22semidirect
125. #2638C22semidirect
127. #2635C22semidirect
128. #2630C22semidirect
129. #2630C22semidirect
134. #2621C22semidirect
136. #2620C22semidirect
139. #2618C22semidirect
140. #2618C22semidirect
144. #2602C22semidirect
145. #2602C22semidirect
146. #2600C22semidirect
147. #2600C22semidirect
152. #2564C22semidirect
153. #2564C22semidirect
155. #2560C22semidirect
156. #2560C22semidirect
157. #2558C22semidirect
158. #2558C22semidirect
159. #2556C22semidirect
160. #2556C22semidirect
161. #2554C22semidirect
162. #2554C22semidirect
164. #2543C22semidirect
168. #2519C22semidirect
169. #2519C22semidirect
170. #2512C22semidirect
171. #2506C22semidirect
172. #2498C22semidirect
173. #2498C22semidirect
178. #2481C22semidirect
179. #2479C22semidirect
180. #2477C22semidirect
181. #2475C22semidirect
182. #2473C22semidirect
183. #2471C22semidirect
184. #2469C22semidirect
185. #2467C22semidirect
186. #2465C22semidirect
187. #2463C22semidirect
188. #2462C22semidirect
189. #2461C22semidirect
190. #2461C22semidirect
191. #2460C22semidirect
192. #2458C22semidirect
193. #2456C22semidirect
194. #2452C22semidirect
195. #2449C22semidirect
196. #2445C22semidirect
197. #2443C22semidirect
198. #2430C22semidirect
199. #2430C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
203. #2416C22semidirect
204. #2415C22semidirect
205. #2415C22semidirect
207. #2414C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
234. #2344C22semidirect
235. #2344C22semidirect
236. #2325C22semidirect
237. #2325C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
252. C2×#389C22semidirect
253. C2×#387C22semidirect
254. C2×#387C22semidirect
259. C2×C4×C4⋊C4C22semidirect
442. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34922
C22×#5392
#405272
#405262
#405232
#405222
#380472
#380452
#380312
#380292
#378432
#378412
#376552
#376532
#374522
#374472
#374462
#371302
#367422
#367412
#353662
#353062
#352522
#350642
#350632
#350062
#350042
#347372
C2×#23442