Finite Group Databasebeta

← #7968133

Subgroups — #7968133

Order 512.

7161 conjugacy classes of subgroups.

The subgroup lattice has 1943 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3541C212yesmaximal, complemented
2#59831C212yesmaximal, complemented
3#59815C211yesmaximal, characteristic, complemented
4#59314C211yesmaximal, characteristic, complemented
5#59244C211yesmaximal, characteristic, complemented
6#59024C212yesmaximal, complemented
7#52018C214yesmaximal, complemented
8#47868C214yesmaximal, complemented
9#46329C212yesmaximal, complemented
10#45484C212yesmaximal, complemented
11#45258C212yesmaximal, complemented
12#45243C212yesmaximal, complemented
13#43912C214yesmaximal, complemented
14#42798C212yesmaximal, complemented
15#42796C212yesmaximal, complemented
16#40515C214yesmaximal, complemented
17#39723C212yesmaximal, complemented
18#39409C212yesmaximal, complemented
19#39387C212yesmaximal, complemented
20#39383C212yesmaximal, complemented
21#39379C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#37836C212yesmaximal, complemented
24#36576C211yesmaximal, characteristic, complemented
25#36576C211yesmaximal, characteristic, complemented
26#36270C211yesmaximal, characteristic, complemented
27#36263C212yesmaximal, complemented
28#36182C211yesmaximal, characteristic, complemented
29#36101C211yesmaximal, characteristic, complemented
30#35198C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35007C212yesmaximal, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36#3541—232no—
37C2×#563C2214yescomplemented
38C2×#562C2214yescomplemented
39C2×#556C2212yescomplemented
40C2×#554C2214yes—
41C2×#554C2212yes—
42C2×#553C2214yes—
43C2×#553C2212yes—
44C2×#552C2212yescomplemented
45C2×#550C2211yescharacteristic
46C2×#550C2211yescharacteristic, complemented
47C2×D4×Q8C2211yescharacteristic
48C2×#548C2212yes—
49C2×#548C2212yescomplemented
50C2×#547C2212yescomplemented
51C2×#542C2212yescomplemented
52C2×#542C2214yescomplemented
53C2×#541C2212yescomplemented
54C2×#539C2214yescomplemented
55C2×#538C2214yes—
56C2×#538C2214yes—
57C2×#537C2212yescomplemented
58C2×#536C2212yescomplemented
59C2×#532C2211yescharacteristic
60C2×#525C2212yes—
61C2×#525C2212yes—
62C22×C22⋊Q8C2212yes—
63C22×C4×Q8C2211yescharacteristic
64C22×C4×Q8C2211yescharacteristic, complemented
65C22×C4×D4C2211yescharacteristic
66#2860C2212yes—
67#2860C2212yescomplemented
68#2859C2211yescharacteristic, complemented
69#2858C2212yes—
70#2856C2211yescharacteristic
71#2856C2212yes—
72#2856C2212yes—
73#2856C2211yescharacteristic, complemented
74#2854C2212yes—
75#2854C2212yescomplemented
76#2847C2212yes—
77#2823C2214yescomplemented
78#2813C2214yescomplemented
79#2733C2214yes—
80#2731C2214yescomplemented
81#2730C2214yescomplemented
82#2730C2214yescomplemented
83#2730C2214yescomplemented
84#2729C2214yescomplemented
85#2728C2214yescomplemented
86#2728C2214yescomplemented
87#2725C2214yescomplemented
88#2725C2214yescomplemented
89#2720C2214yescomplemented
90#2715C2214yescomplemented
91#2714C2214yes—
92#2714C2214yes—
93#2711C2214yescomplemented
94#2707C2214yescomplemented
95#2707C2214yescomplemented
96#2707C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2704C2214yescomplemented
100#2702C2214yescomplemented
101#2702C2214yescomplemented
102#2696C2214yescomplemented
103#2693C2214yescomplemented
104#2691C2214yescomplemented
105#2682C2214yes—
106#2682C2214yescomplemented
107#2681C2214yescomplemented
108#2676C2214yescomplemented
109#2676C2214yescomplemented
110#2675C2214yescomplemented
111#2671C2214yescomplemented
112#2662C2214yes—
113#2662C2214yescomplemented
114#2661C2214yes—
115#2630C2214yescomplemented
116#2629C2212yescomplemented
117#2620C2214yescomplemented
118#2618C2214yescomplemented
119#2617C2214yes—
120#2615C2212yescomplemented
121#2602C2214yescomplemented
122#2601C2214yescomplemented
123#2601C2214yescomplemented
124#2591C2214yes—
125#2579C2214yes—
126#2566C2212yescomplemented
127#2562C2212yescomplemented
128#2559C2214yescomplemented
129#2558C2214yescomplemented
130#2558C2214yescomplemented
131#2555C2214yes—
132#2554C2214yes—
133#2551C2211yescharacteristic, complemented
134#2548C2212yes—
135#2548C2212yes—
136#2548C2211yescharacteristic, complemented
137#2548C2212yescomplemented
138#2546C2212yescomplemented
139#2545C2214yescomplemented
140#2543C2214yes—
141#2542C2212yescomplemented
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yes—
147#2538C2214yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2538C2212yes—
154#2538C2212yes—
155#2538C2211yescharacteristic, complemented
156#2538C2211yescharacteristic, complemented
157#2538C2212yescomplemented
158#2538C2212yescomplemented
159#2537C2212yescomplemented
160#2536C2212yescomplemented
161#2536C2212yescomplemented
162#2536C2212yescomplemented
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2512C2212yescomplemented
167#2512C2212yescomplemented
168#2506C2212yescomplemented
169#2506C2212yescomplemented
170#2506C2212yescomplemented
171#2506C2212yescomplemented
172#2504C2212yes—
173#2500C2212yescomplemented
174#2496C2212yescomplemented
175#2491C2212yes—
176#2491C2212yescomplemented
177#2487C2212yes—
178#2485C2212yescomplemented
179#2481C2214yescomplemented
180#2473C2214yescomplemented
181#2472C2212yes—
182#2472C2214yes—
183#2469C2214yescomplemented
184#2465C2214yescomplemented
185#2464C2212yes—
186#2461C2212yes—
187#2461C2214yescomplemented
188#2460C2214yescomplemented
189#2456C2214yes—
190#2452C2211yescharacteristic
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2450C2214yes—
194#2450C2214yes—
195#2449C2214yes—
196#2445C2212yes—
197#2445C2211yescharacteristic
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2212yescomplemented
202#2440C2211yescharacteristic
203#2440C2212yes—
204#2440C2212yescomplemented
205#2439C2212yescomplemented
206#2433C2212yes—
207#2433C2211yescharacteristic
208#2428C2211yescharacteristic
209#2428C2212yes—
210#2428C2212yescomplemented
211#2427C2214yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2214yescomplemented
216#2426C2214yescomplemented
217#2426C2214yescomplemented
218#2424C2214yes—
219#2424C2212yes—
220#2424C2214yes—
221#2424C2214yes—
222#2424C2214yes—
223#2423C2212yescomplemented
224#2422C2211yescharacteristic
225#2422C2212yescomplemented
226#2422C2212yescomplemented
227#2421C2212yescomplemented
228#2421C2212yescomplemented
229#2421C2212yescomplemented
230#2416C2212yes—
231#2416C2214yes—
232#2416C2212yes—
233#2416C2211yescharacteristic
234#2416C2212yes—
235#2416C2212yescomplemented
236#2416C2214yescomplemented
237#2416C2214yescomplemented
238#2416C2212yescomplemented
239#2414C2212yes—
240#2408C2211yescharacteristic
241#2407C2212yes—
242#2407C2212yescomplemented
243#2407C2212yescomplemented
244#2407C2212yescomplemented
245#2392C2212yes—
246C2×#396C2214yes—
247#2388C2212yes—
248#2366C2212yes—
249#2365C2212yescomplemented
250#2365C2212yescomplemented
251#2365C2211yescharacteristic, complemented
252#2364C2214yes—
253#2361C2212yes—
254#2361C2212yes—
255#2361C2212yes—
256#2361C2212yes—
257#2360C2212yes—
258#2360C2211yescharacteristic
259#2360C2211yescharacteristic, complemented
260#2360C2212yescomplemented
261#2354C2211yescharacteristic
262#2352C2212yescomplemented
263Q8×C4⋊C4C2211yescharacteristic, complemented
264Q8×C4⋊C4C2211yescharacteristic, complemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yescomplemented
269D4×C4⋊C4C2211yescharacteristic, complemented
270#2341C2212yescomplemented
271#2341C2212yescomplemented
272Q8×C22⋊C4C2211yescharacteristic
273Q8×C22⋊C4C2211yescharacteristic, complemented
274#2324C2212yescomplemented
275#2321C2214yes—
276#2311C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2212yescomplemented
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yescomplemented
289C4×#120C2212yes—
290#2293C2211yescharacteristic
291#2293C2212yescomplemented
292C2×#390C2212yes—
293C2×#389C2212yes—
294#2285C2211yescharacteristic, complemented
295C2×#384C2211yescharacteristic
296C2×#380C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C42×D4C2212yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#563—232no—
308#562—232no—
309#556—216no—
310#554—216no—
311#554—232no—
312#553—216no—
313#553—232no—
314#552—216no—
315#550—44no—
316#550—44no—
317D4×Q8D4116yescomplemented
318#548—216no—
319#548—216no—
320#547—216no—
321#542—232no—
322#542—216no—
323#541—216no—
324#539—232no—
325#538—232no—
326#538—232no—
327#537—216no—
328#536—216no—
329#532—44no—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2311yescharacteristic
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2311yescharacteristic
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#125C2314yes—
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362#525—216no—
363#525—216no—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×C22⋊Q8—216no—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2312yes—
432C2×C4×Q8—44no—
433C2×C4×Q8—44no—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—44no—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C22×C4⋊C4C2314yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2314yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2314yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2312yes—
501C22×C42C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#399C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2312yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2312yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2312yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2314yes—
580#393C2312yes—
581#393C2314yes—
582#393C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2314yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2314yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2314yes—
680#389C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#384C2311yescharacteristic
763#384C2311yescharacteristic
764#384C2312yes—
765#384C2311yescharacteristic
766#384C2312yes—
767#384C2311yescharacteristic
768#384C2312yes—
769#384C2312yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2312yes—
773#382C2312yes—
774#382C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2314yes—
797#379C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C2×#95C2314yes—
838C43C2311yescharacteristic
839C43C2312yes—
840C25C2412yes—
841C2×#41—28no—
842C2×#41—28no—
843C2×#41—28no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C22×Q8—42no—
851C22×Q8—42no—
852C22×Q8—42no—
853C22×Q8—42no—
854C22×Q8C2×D418yes—
855C22×Q8C2×D418yescomplemented
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2414yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×D4—24no—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C23×C4—28no—
891C23×C4—44no—
892C23×C4—44no—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C4⋊Q8—216no—
915C4⋊Q8—28no—
916C4⋊Q8—44no—
917C4⋊Q8—42no—
918C4⋊Q8C2×D418yescomplemented
919C4⋊Q8C2×D4116yescomplemented
920#127—24no—
921#127—42no—
922#127—44no—
923#127—42no—
924#127—44no—
925#127—44no—
926#126—216no—
927#126—216no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—216no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—28no—
938#124—216no—
939#124—216no—
940#124—28no—
941#124—216no—
942#124—216no—
943#124—216no—
944#124—44no—
945#124—84no—
946#123—216no—
947#123—216no—
948#123—28no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—28no—
955#123—216no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—84no—
974C22⋊Q8C2×D418yes—
975C22⋊Q8C2×D4116yes—
976C22⋊Q8C2×D418yescomplemented
977C22⋊Q8C2×D4116yescomplemented
978#121—28no—
979#121—216no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—216no—
984#121—28no—
985#121—24no—
986#121—28no—
987#121—216no—
988#121—216no—
989#121—28no—
990#121—216no—
991#121—216no—
992#121—44no—
993#121—48no—
994#121—48no—
995#121—44no—
996#121—44no—
997#121—42no—
998#121—42no—
999#121—42no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—48no—
1004#121—84no—
1005#121—84no—
1006#121—84no—
1007#121—82no—
1008#120—28no—
1009#120—28no—
1010#120—216no—
1011#120—44no—
1012#120—48no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—216no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—44no—
1020C4×Q8—44no—
1021C4×Q8—44no—
1022C4×Q8—44no—
1023C4×Q8—42no—
1024C4×Q8—42no—
1025C4×Q8—42no—
1026C4×Q8—42no—
1027C4×Q8—42no—
1028C4×Q8C2×D418yescomplemented
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—216no—
1035C4×D4—216no—
1036C4×D4—216no—
1037C4×D4—216no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—44no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—42no—
1054C4×D4—44no—
1055C4×D4—82no—
1056C4×D4C2×D418yes—
1057C4×D4C2×D4116yes—
1058#117—28no—
1059#117—28no—
1060#117—28no—
1061#117—216no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—216no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—216no—
1066C2×C4⋊C4—44no—
1067C2×C4⋊C4—42no—
1068C2×C4⋊C4—42no—
1069C2×C4⋊C4—42no—
1070C2×C4⋊C4—44no—
1071C2×C4⋊C4—44no—
1072C2×C4⋊C4—82no—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C22⋊C4—216no—
1142C2×C22⋊C4—44no—
1143C2×C22⋊C4—84no—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C42—24no—
1213C2×C42—24no—
1214C2×C42—44no—
1215C2×C42—44no—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24—24no—
1291C24—24no—
1292C24—24no—
1293C24—42no—
1294C24—42no—
1295C24—42no—
1296C24—42no—
1297C24C2512yes—
1298C24C2512yes—
1299C24C2512yes—
1300C24C2514yes—
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303#41—816no—
1304#41—816no—
1305#41—816no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—44no—
1321C2×Q8—42no—
1322C2×Q8—416no—
1323C2×Q8—416no—
1324C2×Q8C22×D414yes—
1325C2×Q8C22×D414yes—
1326C2×Q8C22×D414yes—
1327C2×Q8C22×D418yes—
1328C2×Q8C22×D418yes—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—416no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4C22×D414yes—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—41no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—41no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—816no—
1461C22×C4C22×D414yes—
1462C22×C4C22×D414yes—
1463C22×C4C22×D418yes—
1464C22×C4C22×D418yes—
1465C22×C42−1+414yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—41no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D418yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D418yes—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—41no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4C22×D414yes—
1628C22⋊C4C22×D418yes—
1629C22⋊C4C22×D418yes—
1630C22⋊C4C22×D414yes—
1631C42—28no—
1632C42—24no—
1633C42—28no—
1634C42—28no—
1635C42—28no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—24no—
1649C42—42no—
1650C42—42no—
1651C42—42no—
1652C42—42no—
1653C42—41no—
1654C42—42no—
1655C42—41no—
1656C42—42no—
1657C42—42no—
1658C42C22×D414yes—
1659C42C22×D418yes—
1660C42H(5,𝔽2)14yes—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—24no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—22no—
1688C23—24no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—24no—
1699C23—48no—
1700C23—48no—
1701C23—48no—
1702C23—84no—
1703C23—84no—
1704C23—84no—
1705C23—84no—
1706C23C23×D412yes—
1707C23C23×D412yes—
1708C23C2×2−1+412yes—
1709C23#58512yes—
1710C23C2611yescharacteristic
1711Q8—28no—
1712Q8—28no—
1713Q8—28no—
1714Q8—48no—
1715Q8—48no—
1716Q8—88no—
1717Q8—84no—
1718D4—28no—
1719D4—48no—
1720D4—48no—
1721D4—416no—
1722D4—48no—
1723D4—44no—
1724D4—48no—
1725D4—44no—
1726D4—44no—
1727D4—84no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—88no—
1733D4—88no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—84no—
1738D4—84no—
1739D4—164no—
1740D4—164no—
1741D4—164no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—28no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4—82no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4—88no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—84no—
1832C2×C4—84no—
1833C2×C4—84no—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D412yes—
1843C2×C4C2×H(5,𝔽2)12yes—
1844C2×C4C2×H(5,𝔽2)12yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×2−1+412yes—
1847C2×C4C2×2−1+412yes—
1848C2×C4#58512yes—
1849C2×C4#58512yes—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—44no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—44no—
1879C22—42no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—44no—
1885C22—42no—
1886C22—42no—
1887C22—44no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—816no—
1892C22#349714yes—
1893C22C24×D411yescharacteristic
1894C22C22×H(5,𝔽2)11yescharacteristic
1895C22C22×2−1+411yescharacteristic
1896C22C2×#58511yescharacteristic
1897C22C2×#58511yescharacteristic
1898C22C2×#58511yescharacteristic
1899C22H(7,𝔽2)11yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—24no—
1903C4—22no—
1904C4—22no—
1905C4—24no—
1906C4—24no—
1907C4—24no—
1908C4—22no—
1909C4—22no—
1910C4—41no—
1911C4—44no—
1912C4—44no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—42no—
1919C4—44no—
1920C4—42no—
1921C4—41no—
1922C4—41no—
1923C4—42no—
1924C4—41no—
1925C4—42no—
1926C4—42no—
1927C4#349614yes—
1928C4#354114yescomplemented
1929C2—24no—
1930C2—42no—
1931C2—82no—
1932C2—84no—
1933C2—82no—
1934C2—82no—
1935C2C2×#354111yescharacteristic
1936C2C2×#349611yescharacteristic
1937C2C2×#349711yescharacteristic
1938C2#6292611yescharacteristic
1939C2#6295711yescharacteristic
1940C2#6300311yescharacteristic
1941C2#6302911yescharacteristic
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×#3541C2semidirect
2. #59831C2semidirect
3. #59815C2semidirect
4. #59314C2semidirect
5. #59244C2semidirect
6. #59024C2semidirect
7. #52018C2semidirect
8. #47868C2semidirect
9. #46329C2semidirect
10. #45484C2semidirect
11. #45258C2semidirect
12. #45243C2semidirect
13. #43912C2semidirect
14. #42798C2semidirect
15. #42796C2semidirect
16. #40515C2semidirect
17. #39723C2semidirect
18. #39409C2semidirect
19. #39387C2semidirect
20. #39383C2semidirect
21. #39379C2semidirect
22. #39341C2semidirect
23. #37836C2semidirect
24. #36576C2semidirect
25. #36576C2semidirect
26. #36270C2semidirect
27. #36263C2semidirect
28. #36182C2semidirect
29. #36101C2semidirect
30. #35198C2semidirect
31. #35178C2semidirect
32. #35007C2semidirect
33. C2×#2538C2semidirect
34. #34681C2semidirect
35. C4×D4×Q8C2semidirect
37. C2×#563C22semidirect
38. C2×#562C22semidirect
39. C2×#556C22semidirect
44. C2×#552C22semidirect
46. C2×#550C22semidirect
49. C2×#548C22semidirect
50. C2×#547C22semidirect
51. C2×#542C22semidirect
52. C2×#542C22semidirect
53. C2×#541C22semidirect
54. C2×#539C22semidirect
57. C2×#537C22semidirect
58. C2×#536C22semidirect
64. C22×C4×Q8C22semidirect
67. #2860C22semidirect
68. #2859C22semidirect
73. #2856C22semidirect
75. #2854C22semidirect
77. #2823C22semidirect
78. #2813C22semidirect
80. #2731C22semidirect
81. #2730C22semidirect
82. #2730C22semidirect
83. #2730C22semidirect
84. #2729C22semidirect
85. #2728C22semidirect
86. #2728C22semidirect
87. #2725C22semidirect
88. #2725C22semidirect
89. #2720C22semidirect
90. #2715C22semidirect
93. #2711C22semidirect
94. #2707C22semidirect
95. #2707C22semidirect
96. #2707C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2704C22semidirect
100. #2702C22semidirect
101. #2702C22semidirect
102. #2696C22semidirect
103. #2693C22semidirect
104. #2691C22semidirect
106. #2682C22semidirect
107. #2681C22semidirect
108. #2676C22semidirect
109. #2676C22semidirect
110. #2675C22semidirect
111. #2671C22semidirect
113. #2662C22semidirect
115. #2630C22semidirect
116. #2629C22semidirect
117. #2620C22semidirect
118. #2618C22semidirect
120. #2615C22semidirect
121. #2602C22semidirect
122. #2601C22semidirect
123. #2601C22semidirect
126. #2566C22semidirect
127. #2562C22semidirect
128. #2559C22semidirect
129. #2558C22semidirect
130. #2558C22semidirect
133. #2551C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2546C22semidirect
139. #2545C22semidirect
141. #2542C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2536C22semidirect
161. #2536C22semidirect
162. #2536C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2506C22semidirect
169. #2506C22semidirect
170. #2506C22semidirect
171. #2506C22semidirect
173. #2500C22semidirect
174. #2496C22semidirect
176. #2491C22semidirect
178. #2485C22semidirect
179. #2481C22semidirect
180. #2473C22semidirect
183. #2469C22semidirect
184. #2465C22semidirect
187. #2461C22semidirect
188. #2460C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
201. #2445C22semidirect
204. #2440C22semidirect
205. #2439C22semidirect
210. #2428C22semidirect
211. #2427C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
223. #2423C22semidirect
225. #2422C22semidirect
226. #2422C22semidirect
227. #2421C22semidirect
228. #2421C22semidirect
229. #2421C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
242. #2407C22semidirect
243. #2407C22semidirect
244. #2407C22semidirect
249. #2365C22semidirect
250. #2365C22semidirect
251. #2365C22semidirect
259. #2360C22semidirect
260. #2360C22semidirect
262. #2352C22semidirect
263. Q8×C4⋊C4C22semidirect
264. Q8×C4⋊C4C22semidirect
265. Q8×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2341C22semidirect
271. #2341C22semidirect
273. Q8×C22⋊C4C22semidirect
274. #2324C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
291. #2293C22semidirect
294. #2285C22semidirect
297. C42×Q8C22semidirect
317. D4×Q8D4semidirect
855. C22×Q8C2×D4semidirect
918. C4⋊Q8C2×D4semidirect
919. C4⋊Q8C2×D4semidirect
976. C22⋊Q8C2×D4semidirect
977. C22⋊Q8C2×D4semidirect
1028. C4×Q8C2×D4semidirect
1928. C4#3541semidirect

Maximal subgroups

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

subgroupindex
C2×#35412
#598312
#598152
#593142
#592442
#590242
#520182
#478682
#463292
#454842
#452582
#452432
#439122
#427982
#427962
#405152
#397232
#394092
#393872
#393832
#393792
#393412
#378362
#365762
#362702
#362632
#361822
#361012
#351982
#351782
#350072
C2×#25382
#346812
C4×D4×Q82