Finite Group Databasebeta

← #7716088

Subgroups — #7716088

Order 512.

7048 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3538C211yesmaximal, characteristic, complemented
2C2×#3536C211yesmaximal, characteristic, complemented
3#49571C214yesmaximal, complemented
4#49567C214yesmaximal, complemented
5#47859C214yesmaximal, complemented
6#47855C214yesmaximal, complemented
7#45289C212yesmaximal, complemented
8#45245C212yesmaximal, complemented
9#45239C212yesmaximal, complemented
10#45236C212yesmaximal, complemented
11#45187C212yesmaximal, complemented
12#45177C212yesmaximal, complemented
13#45114C212yesmaximal, complemented
14#45093C212yesmaximal, complemented
15#39166C212yesmaximal, complemented
16#38950C212yesmaximal, complemented
17#38944C214yesmaximal, complemented
18#38086C214yesmaximal, complemented
19#36742C212yesmaximal, complemented
20#36741C212yesmaximal, complemented
21#36434C212yesmaximal, complemented
22#36424C212yesmaximal, complemented
23#35306C211yesmaximal, characteristic, complemented
24#35252C211yesmaximal, characteristic, complemented
25#35158C212yesmaximal, complemented
26#35019C211yesmaximal, characteristic, complemented
27#35006C212yesmaximal, complemented
28#34575C211yesmaximal, characteristic, complemented
29C2×#2362C211yesmaximal, characteristic, complemented
30#3538—216no—
31#3536—216no—
32C2×#563C2214yes—
33C2×#562C2214yes—
34C2×#554C2212yes—
35C2×#552C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#551C2214yes—
38C2×D4×Q8C2212yescomplemented
39C2×D4×Q8C2212yescomplemented
40C2×#548C2212yes—
41C2×#548C2212yescomplemented
42C2×#547C2212yes—
43C2×#546C2214yes—
44C2×#546C2212yes—
45C2×#544C2212yescomplemented
46C2×#544C2212yescomplemented
47C2×#543C2212yes—
48C2×#542C2212yes—
49C2×#541C2212yes—
50C2×#539C2212yes—
51C2×#539C2212yescomplemented
52C2×#539C2212yescomplemented
53C2×#538C2212yes—
54C2×#537C2212yes—
55C2×#537C2212yes—
56C2×#536C2212yes—
57C2×#536C2211yescharacteristic, complemented
58C2×#535C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C2×#525C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×C4×Q8C2211yescharacteristic, complemented
65C22×#117C2211yescharacteristic
66#2857C2212yescomplemented
67#2856C2212yes—
68#2854C2214yescomplemented
69#2850C2212yes—
70#2850C2212yes—
71#2850C2212yes—
72#2850C2214yescomplemented
73#2850C2212yescomplemented
74#2731C2214yescomplemented
75#2730C2214yescomplemented
76#2729C2214yescomplemented
77#2728C2214yescomplemented
78#2723C2214yescomplemented
79#2721C2214yescomplemented
80#2720C2214yescomplemented
81#2719C2214yescomplemented
82#2716C2214yescomplemented
83#2714C2214yescomplemented
84#2713C2214yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2707C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yescomplemented
90#2704C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2702C2214yescomplemented
94#2700C2214yes—
95#2700C2214yescomplemented
96#2698C2214yes—
97#2696C2214yescomplemented
98#2694C2214yescomplemented
99#2692C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yes—
102#2687C2214yes—
103#2687C2214yescomplemented
104#2685C2214yes—
105#2685C2214yes—
106#2681C2214yescomplemented
107#2678C2214yes—
108#2677C2214yescomplemented
109#2676C2214yescomplemented
110#2674C2214yescomplemented
111#2673C2214yescomplemented
112#2672C2214yescomplemented
113#2670C2214yes—
114#2663C2212yes—
115#2663C2212yescomplemented
116#2661C2212yes—
117#2661C2212yescomplemented
118#2659C2211yescharacteristic, complemented
119#2656C2211yescharacteristic, complemented
120#2639C2212yes—
121#2639C2212yes—
122#2639C2211yescharacteristic, complemented
123#2639C2211yescharacteristic, complemented
124#2639C2214yescomplemented
125#2621C2212yes—
126#2620C2212yes—
127#2620C2212yes—
128#2619C2212yes—
129#2618C2214yescomplemented
130#2617C2212yes—
131#2617C2212yes—
132#2591C2214yes—
133#2564C2214yescomplemented
134#2561C2214yes—
135#2560C2214yescomplemented
136#2560C2214yescomplemented
137#2560C2214yescomplemented
138#2558C2214yescomplemented
139#2558C2214yescomplemented
140#2558C2214yescomplemented
141#2556C2214yescomplemented
142#2554C2214yescomplemented
143#2550C2212yescomplemented
144#2545C2212yescomplemented
145#2545C2214yescomplemented
146#2543C2214yescomplemented
147#2540C2212yescomplemented
148#2536C2212yescomplemented
149#2536C2214yescomplemented
150#2512C2214yescomplemented
151#2506C2214yescomplemented
152#2504C2212yes—
153#2503C2212yes—
154#2498C2214yescomplemented
155#2498C2214yescomplemented
156#2492C2212yescomplemented
157#2492C2214yescomplemented
158#2492C2214yescomplemented
159#2491C2214yescomplemented
160#2491C2214yescomplemented
161#2490C2212yescomplemented
162#2490C2214yescomplemented
163#2490C2214yescomplemented
164#2489C2214yescomplemented
165#2489C2214yescomplemented
166#2480C2214yes—
167#2480C2214yes—
168#2476C2214yescomplemented
169#2476C2214yescomplemented
170#2474C2214yescomplemented
171#2472C2214yes—
172#2470C2214yescomplemented
173#2468C2214yes—
174#2466C2214yes—
175#2464C2214yescomplemented
176#2459C2214yes—
177#2459C2214yescomplemented
178#2457C2214yes—
179#2457C2214yescomplemented
180#2456C2214yescomplemented
181#2454C2212yescomplemented
182#2452C2214yescomplemented
183#2451C2212yescomplemented
184#2448C2212yescomplemented
185#2446C2212yescomplemented
186#2445C2214yescomplemented
187#2442C2212yescomplemented
188#2439C2212yescomplemented
189#2436C2212yes—
190#2436C2212yescomplemented
191#2435C2212yes—
192#2432C2212yescomplemented
193#2430C2214yescomplemented
194#2430C2214yescomplemented
195#2429C2212yescomplemented
196#2429C2214yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2214yescomplemented
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2418C2214yes—
204#2417C2212yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2417C2214yescomplemented
208#2416C2212yes—
209#2416C2212yes—
210#2416C2214yescomplemented
211#2415C2212yes—
212#2415C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yescomplemented
216#2413C2214yescomplemented
217#2412C2214yes—
218#2411C2214yes—
219#2410C2214yes—
220#2409C2212yescomplemented
221#2407C2212yescomplemented
222#2395C2212yes—
223#2395C2212yescomplemented
224#2388C2212yes—
225#2388C2212yescomplemented
226#2367C2212yescomplemented
227#2363C2212yescomplemented
228#2362C2212yes—
229#2362C2212yes—
230#2362C2214yes—
231#2362C2214yescomplemented
232#2362C2212yescomplemented
233#2362C2212yescomplemented
234#2360C2212yescomplemented
235#2352C2212yescomplemented
236#2351C2212yescomplemented
237#2341C2212yescomplemented
238Q8×C22⋊C4C2212yescomplemented
239#2325C2214yescomplemented
240#2317C2211yescharacteristic
241#2317C2211yescharacteristic, complemented
242#2311C2211yescharacteristic
243#2311C2214yescomplemented
244#2311C2211yescharacteristic, complemented
245#2310C2211yescharacteristic, complemented
246#2309C2211yescharacteristic
247#2308C2212yes—
248#2308C2212yes—
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2214yescomplemented
252#2297C2214yescomplemented
253C2×#391C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255C2×#388C2212yes—
256C2×#388C2212yes—
257C2×#387C2212yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C2×C4×C4⋊C4C2212yescomplemented
260C2×C4×C22⋊C4C2211yescharacteristic
261C22×#41C2311yescharacteristic
262C22×#41C2311yescharacteristic
263C22×#41C2314yes—
264C22×#41C2312yes—
265C23×Q8C2311yescharacteristic
266C23×Q8C2312yes—
267C23×Q8C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271#563—232no—
272#562—232no—
273#554—216no—
274#552—216no—
275#552—216no—
276#551—232no—
277D4×Q8—216no—
278D4×Q8—216no—
279#548—216no—
280#548—48no—
281#547—216no—
282#546—216no—
283#546—232no—
284#544—216no—
285#544—216no—
286#543—216no—
287#542—216no—
288#541—216no—
289#539—216no—
290#539—216no—
291#539—216no—
292#538—216no—
293#537—216no—
294#537—216no—
295#536—216no—
296#536—44no—
297#535—44no—
298C2×C4⋊Q8C2314yes—
299C2×C4⋊Q8C2314yes—
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2314yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#127C2312yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#124C2314yes—
317C2×#124C2314yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325#525—28no—
326#525—28no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8—28no—
339C2×C22⋊Q8D4116yescomplemented
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×#121—28no—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×C4×Q8—44no—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×#117—44no—
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2314yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2314yes—
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2311yescharacteristic
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2312yes—
445C22×C42C2312yes—
446C22×C42C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2312yes—
451#400C2312yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2312yes—
458#399C2312yes—
459#399C2314yes—
460#399C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#395C2314yes—
500#395C2312yes—
501#395C2312yes—
502#395C2314yes—
503#395C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#392C2312yes—
541#392C2312yes—
542#392C2312yes—
543#392C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2314yes—
567#391C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#388C2314yes—
606#388C2312yes—
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#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
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#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2312yes—
692#384C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#379C2314yes—
716#379C2314yes—
717#379C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2314yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2311yescharacteristic
745C2×#95C2311yescharacteristic
746C2×#95C2312yes—
747C2×#95C2312yes—
748C25C2411yescharacteristic
749C25C2412yes—
750C2×#41—28no—
751C2×#41—24no—
752C2×#41—24no—
753C2×#41—216no—
754C2×#41—42no—
755C2×#41—42no—
756C2×#41—42no—
757C2×#41—42no—
758C2×#41—48no—
759C2×#41—48no—
760C2×#41—44no—
761C2×#41—44no—
762C22×Q8—28no—
763C22×Q8—24no—
764C22×Q8—42no—
765C22×Q8—42no—
766C22×Q8—42no—
767C22×Q8—44no—
768C22×Q8—42no—
769C22×Q8—44no—
770C22×Q8C2×D418yes—
771C22×Q8C2412yes—
772C22×Q8C2412yes—
773C22×Q8C2411yescharacteristic
774C22×Q8C2412yes—
775C22×Q8C2414yes—
776C22×Q8C2414yes—
777C22×Q8C2411yescharacteristic
778C22×Q8C2412yes—
779C22×D4—28no—
780C22×D4—24no—
781C22×D4—42no—
782C22×D4—42no—
783C22×D4—44no—
784C22×D4—44no—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2411yescharacteristic
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2411yescharacteristic
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C23×C4—42no—
804C23×C4—42no—
805C23×C4C2×D418yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C4⋊Q8—28no—
830C4⋊Q8—216no—
831C4⋊Q8—216no—
832C4⋊Q8—28no—
833C4⋊Q8—216no—
834C4⋊Q8—44no—
835#127—44no—
836#126—216no—
837#126—216no—
838#126—216no—
839#126—216no—
840#126—216no—
841#125—216no—
842#125—216no—
843#125—216no—
844#125—28no—
845#125—216no—
846#125—216no—
847#124—216no—
848#124—28no—
849#124—216no—
850#124—216no—
851#124—44no—
852#124—44no—
853#124—48no—
854#124—44no—
855#124—44no—
856#123—28no—
857#123—28no—
858#123—216no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—216no—
864#123—216no—
865#123—216no—
866#123—48no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—216no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—216no—
880C22⋊Q8—28no—
881C22⋊Q8—216no—
882C22⋊Q8—216no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—216no—
886C22⋊Q8—28no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8C2×D4116yes—
892C22⋊Q8C2×D4116yes—
893C22⋊Q8C2×D4116yes—
894C22⋊Q8C2×D4116yes—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—24no—
902#121—24no—
903#121—216no—
904#121—216no—
905#121—28no—
906#121—216no—
907#121—28no—
908#121—216no—
909#121—216no—
910#121—48no—
911#121—44no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—48no—
916#120—28no—
917#120—28no—
918#120—216no—
919#120—48no—
920C4×Q8—28no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—28no—
924C4×Q8—48no—
925C4×Q8—44no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—216no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—216no—
934C4×D4—216no—
935C4×D4—48no—
936C4×D4—44no—
937C4×D4—44no—
938#117—24no—
939#117—24no—
940#117—216no—
941#117—28no—
942#117—24no—
943#117—24no—
944#117—216no—
945#117—44no—
946#117—44no—
947#117—42no—
948#117—42no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4C2×D4116yes—
958C2×C4⋊C4C2×D418yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4—28no—
1012C2×C22⋊C4—28no—
1013C2×C22⋊C4—216no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4—42no—
1017C2×C22⋊C4C2×D4116yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C42—44no—
1083C2×C42—42no—
1084C2×C42—44no—
1085C2×C42—42no—
1086C2×C42—44no—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24—22no—
1150C24—22no—
1151C24—24no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24—41no—
1156C24—42no—
1157C24—42no—
1158C24—42no—
1159C24—42no—
1160C24—42no—
1161C24—42no—
1162C24C22×D414yes—
1163C24C2514yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169#41—88no—
1170#41—88no—
1171#41—832no—
1172#41—816no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—28no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—41no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—416no—
1196C2×Q8—88no—
1197C2×Q8—816no—
1198C2×Q8C22×D418yes—
1199C2×Q8C22×D418yes—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—41no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—88no—
1255C2×D4—816no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
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—28no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—416no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4C22×D418yes—
1319C22×C4C22×D414yes—
1320C22×C4C22×D414yes—
1321C22×C4C22×D414yes—
1322C22×C4C22×D414yes—
1323C22×C4C22×D418yes—
1324C22×C4C22×D414yes—
1325C22×C4C22×D414yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2514yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4C22×D418yes—
1397C4⋊C4C22×D4116yes—
1398C4⋊C4C22×D4116yes—
1399C4⋊C4C22×D418yes—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4C22×D4116yes—
1464C22⋊C4C22×D4116yes—
1465C42—28no—
1466C42—24no—
1467C42—24no—
1468C42—28no—
1469C42—28no—
1470C42—28no—
1471C42—24no—
1472C42—24no—
1473C42—28no—
1474C42—24no—
1475C42—24no—
1476C42—44no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—44no—
1482C42—42no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—28no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—44no—
1522C23—44no—
1523C23—48no—
1524C23—82no—
1525C23—82no—
1526C23—82no—
1527C23—82no—
1528C23—84no—
1529C23—84no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23C23×D412yes—
1535C23C23×D412yes—
1536C23C23×D412yes—
1537C23#58512yes—
1538C23#58512yes—
1539C23C2611yescharacteristic
1540Q8—216no—
1541Q8—48no—
1542Q8—48no—
1543Q8—84no—
1544Q8—88no—
1545Q8—82no—
1546Q8—82no—
1547Q8—88no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—416no—
1552D4—48no—
1553D4—48no—
1554D4—88no—
1555D4—84no—
1556D4—82no—
1557D4—82no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—164no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—216no—
1579C2×C4—28no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—82no—
1645C2×C4—82no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4C23×D418yes—
1650C2×C4C23×D418yes—
1651C2×C4C23×D412yes—
1652C2×C4C23×D412yes—
1653C2×C4C23×D412yes—
1654C2×C4C23×D412yes—
1655C2×C4C2×H(5,𝔽2)14yes—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4#58512yes—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—88no—
1700C22—168no—
1701C22#350014yes—
1702C22C24×D411yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22C2×#58511yescharacteristic
1707C222−1+611yescharacteristic
1708C222−1+611yescharacteristic
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—28no—
1713C4—28no—
1714C4—24no—
1715C4—42no—
1716C4—42no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—42no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4#349614yes—
1732C2—24no—
1733C2—42no—
1734C2—42no—
1735C2—82no—
1736C2—82no—
1737C2—84no—
1738C2C2×#349611yescharacteristic
1739C2C2×#350011yescharacteristic
1740C2#6284811yescharacteristic
1741C2#6289811yescharacteristic
1742C2#6291111yescharacteristic
1743C2#6291911yescharacteristic
1744C2#6293411yescharacteristic
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×#3538C2semidirect
2. C2×#3536C2semidirect
3. #49571C2semidirect
4. #49567C2semidirect
5. #47859C2semidirect
6. #47855C2semidirect
7. #45289C2semidirect
8. #45245C2semidirect
9. #45239C2semidirect
10. #45236C2semidirect
11. #45187C2semidirect
12. #45177C2semidirect
13. #45114C2semidirect
14. #45093C2semidirect
15. #39166C2semidirect
16. #38950C2semidirect
17. #38944C2semidirect
18. #38086C2semidirect
19. #36742C2semidirect
20. #36741C2semidirect
21. #36434C2semidirect
22. #36424C2semidirect
23. #35306C2semidirect
24. #35252C2semidirect
25. #35158C2semidirect
26. #35019C2semidirect
27. #35006C2semidirect
28. #34575C2semidirect
29. C2×#2362C2semidirect
35. C2×#552C22semidirect
36. C2×#552C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
41. C2×#548C22semidirect
45. C2×#544C22semidirect
46. C2×#544C22semidirect
51. C2×#539C22semidirect
52. C2×#539C22semidirect
57. C2×#536C22semidirect
64. C22×C4×Q8C22semidirect
66. #2857C22semidirect
68. #2854C22semidirect
72. #2850C22semidirect
73. #2850C22semidirect
74. #2731C22semidirect
75. #2730C22semidirect
76. #2729C22semidirect
77. #2728C22semidirect
78. #2723C22semidirect
79. #2721C22semidirect
80. #2720C22semidirect
81. #2719C22semidirect
82. #2716C22semidirect
83. #2714C22semidirect
84. #2713C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
87. #2707C22semidirect
88. #2706C22semidirect
89. #2705C22semidirect
90. #2704C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2702C22semidirect
95. #2700C22semidirect
97. #2696C22semidirect
98. #2694C22semidirect
99. #2692C22semidirect
100. #2690C22semidirect
103. #2687C22semidirect
106. #2681C22semidirect
108. #2677C22semidirect
109. #2676C22semidirect
110. #2674C22semidirect
111. #2673C22semidirect
112. #2672C22semidirect
115. #2663C22semidirect
117. #2661C22semidirect
118. #2659C22semidirect
119. #2656C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2639C22semidirect
129. #2618C22semidirect
133. #2564C22semidirect
135. #2560C22semidirect
136. #2560C22semidirect
137. #2560C22semidirect
138. #2558C22semidirect
139. #2558C22semidirect
140. #2558C22semidirect
141. #2556C22semidirect
142. #2554C22semidirect
143. #2550C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
146. #2543C22semidirect
147. #2540C22semidirect
148. #2536C22semidirect
149. #2536C22semidirect
150. #2512C22semidirect
151. #2506C22semidirect
154. #2498C22semidirect
155. #2498C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2489C22semidirect
165. #2489C22semidirect
168. #2476C22semidirect
169. #2476C22semidirect
170. #2474C22semidirect
172. #2470C22semidirect
175. #2464C22semidirect
177. #2459C22semidirect
179. #2457C22semidirect
180. #2456C22semidirect
181. #2454C22semidirect
182. #2452C22semidirect
183. #2451C22semidirect
184. #2448C22semidirect
185. #2446C22semidirect
186. #2445C22semidirect
187. #2442C22semidirect
188. #2439C22semidirect
190. #2436C22semidirect
192. #2432C22semidirect
193. #2430C22semidirect
194. #2430C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
204. #2417C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
210. #2416C22semidirect
215. #2414C22semidirect
216. #2413C22semidirect
220. #2409C22semidirect
221. #2407C22semidirect
223. #2395C22semidirect
225. #2388C22semidirect
226. #2367C22semidirect
227. #2363C22semidirect
231. #2362C22semidirect
232. #2362C22semidirect
233. #2362C22semidirect
234. #2360C22semidirect
235. #2352C22semidirect
236. #2351C22semidirect
237. #2341C22semidirect
238. Q8×C22⋊C4C22semidirect
239. #2325C22semidirect
241. #2317C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2310C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2297C22semidirect
253. C2×#391C22semidirect
254. C2×#389C22semidirect
257. C2×#387C22semidirect
258. C2×C4×C4⋊C4C22semidirect
259. C2×C4×C4⋊C4C22semidirect
339. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35382
C2×#35362
#495712
#495672
#478592
#478552
#452892
#452452
#452392
#452362
#451872
#451772
#451142
#450932
#391662
#389502
#389442
#380862
#367422
#367412
#364342
#364242
#353062
#352522
#351582
#350192
#350062
#345752
C2×#23622