Finite Group Databasebeta

← #7679883

Subgroups — #7679883

Order 512.

7037 conjugacy classes of subgroups.

The subgroup lattice has 1961 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59810C212yesmaximal, complemented
4#59755C212yesmaximal, complemented
5#59315C212yesmaximal, complemented
6#59244C212yesmaximal, complemented
7#59152C212yesmaximal, complemented
8#59137C212yesmaximal, complemented
9#59072C212yesmaximal, complemented
10#59043C212yesmaximal, complemented
11#44689C214yesmaximal, complemented
12#44609C214yesmaximal, complemented
13#43919C214yesmaximal, complemented
14#43917C214yesmaximal, complemented
15#39469C211yesmaximal, characteristic, complemented
16#39468C212yesmaximal, complemented
17#39343C211yesmaximal, characteristic, complemented
18#39335C212yesmaximal, complemented
19#39136C211yesmaximal, characteristic, complemented
20#39125C211yesmaximal, characteristic, complemented
21#38051C212yesmaximal, complemented
22#38025C212yesmaximal, complemented
23#36579C211yesmaximal, characteristic, complemented
24Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
25#36411C211yesmaximal, characteristic, complemented
26#36274C211yesmaximal, characteristic, complemented
27#35663C212yesmaximal, complemented
28#35569C212yesmaximal, complemented
29#35297C211yesmaximal, characteristic, complemented
30#35258C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34947C211yesmaximal, characteristic, complemented
33#34268C212yesmaximal, complemented
34#34243C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36#3518—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#556C2214yes—
45C2×#556C2212yes—
46C2×#556C2211yescharacteristic
47C2×#556C2211yescharacteristic
48C2×#555C2211yescharacteristic
49C2×#555C2212yes—
50C2×#553C2211yescharacteristic
51C2×#553C2212yes—
52C2×#553C2212yes—
53C2×#553C2211yescharacteristic
54C2×#550C2211yescharacteristic
55C2×D4×Q8C2211yescharacteristic
56C2×#548C2212yes—
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#542C2214yes—
60C2×#542C2212yes—
61C2×#537C2211yescharacteristic
62C2×#536C2212yes—
63C2×#533C2212yes—
64C2×#533C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#519C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2212yes—
78C22×C4×Q8C2211yescharacteristic
79#2857C2212yes—
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2855C2212yes—
85#2854C2212yes—
86#2850C2212yes—
87#2727C2214yes—
88#2718C2214yes—
89#2717C2214yes—
90#2716C2214yes—
91#2715C2214yes—
92#2715C2214yes—
93#2715C2214yes—
94#2712C2214yes—
95#2712C2214yes—
96#2705C2214yes—
97#2704C2214yes—
98#2702C2214yes—
99#2691C2214yes—
100#2691C2214yes—
101#2689C2214yes—
102#2686C2214yes—
103#2677C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2673C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2628C2212yes—
112#2625C2212yes—
113#2620C2212yes—
114#2616C2212yes—
115#2616C2212yes—
116#2615C2212yes—
117#2609C2214yes—
118#2592C2212yes—
119#2584C2212yes—
120#2582C2212yes—
121#2582C2211yescharacteristic
122#2581C2212yes—
123#2581C2212yes—
124#2568C2211yescharacteristic
125#2567C2211yescharacteristic
126#2567C2212yes—
127#2566C2212yes—
128#2565C2212yes—
129#2564C2214yes—
130#2563C2211yescharacteristic
131#2562C2212yes—
132#2560C2214yes—
133#2557C2214yes—
134#2556C2214yes—
135#2555C2214yes—
136#2555C2214yes—
137#2551C2212yes—
138#2550C2212yes—
139#2547C2212yes—
140#2544C2214yes—
141#2543C2214yes—
142#2542C2211yescharacteristic
143#2540C2212yes—
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yes—
147#2538C2211yescharacteristic
148#2537C2211yescharacteristic
149#2536C2212yes—
150#2536C2212yes—
151#2535C2212yes—
152#2521C2214yes—
153#2521C2214yes—
154#2512C2214yes—
155#2496C2214yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2214yes—
159#2485C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2485C2212yes—
165#2481C2214yes—
166#2478C2214yes—
167#2476C2214yes—
168#2474C2214yes—
169#2474C2214yes—
170#2470C2214yes—
171#2469C2214yes—
172#2469C2214yes—
173#2469C2214yes—
174#2469C2214yes—
175#2467C2214yes—
176#2465C2214yes—
177#2465C2214yes—
178#2464C2214yes—
179#2463C2214yes—
180#2462C2214yes—
181#2462C2214yes—
182#2461C2214yes—
183#2461C2214yes—
184#2461C2214yes—
185#2461C2214yes—
186#2459C2214yes—
187#2458C2214yes—
188#2457C2214yes—
189#2455C2214yes—
190#2451C2214yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2214yes—
194#2450C2214yes—
195#2450C2214yes—
196#2448C2212yes—
197#2445C2212yes—
198#2441C2212yes—
199#2440C2212yes—
200#2440C2214yes—
201#2439C2212yes—
202#2439C2212yes—
203#2438C2214yes—
204#2428C2212yes—
205#2427C2214yes—
206#2426C2214yes—
207#2426C2212yes—
208#2425C2214yes—
209#2425C2214yes—
210#2422C2212yes—
211#2422C2214yes—
212#2422C2212yes—
213#2421C2212yes—
214#2421C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2414C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2409C2212yes—
226#2409C2212yes—
227#2409C2212yes—
228#2407C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2396C2214yes—
232#2392C2214yes—
233#2370C2212yes—
234#2367C2214yes—
235#2367C2214yes—
236#2367C2212yes—
237#2365C2214yes—
238#2365C2214yes—
239#2362C2212yes—
240#2362C2212yes—
241#2359C2214yes—
242#2359C2214yes—
243#2359C2214yes—
244#2359C2214yes—
245#2359C2214yes—
246#2355C2211yescharacteristic
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2352C2212yes—
250#2352C2212yes—
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256Q8×C22⋊C4C2212yes—
257#2339C2212yes—
258#2334C2214yes—
259#2325C2212yes—
260#2325C2212yes—
261#2324C2212yes—
262#2324C2211yescharacteristic
263#2324C2211yescharacteristic
264#2323C2212yes—
265#2323C2211yescharacteristic
266#2323C2211yescharacteristic
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2323C2212yes—
271#2316C2211yescharacteristic
272#2314C2212yes—
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2212yes—
293C4×#121C2212yes—
294#2297C2212yes—
295#2296C2212yes—
296C2×#391C2212yes—
297#2285C2212yes—
298#2285C2211yescharacteristic
299#2274C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308#559—28no—
309#559—216no—
310Q82—28no—
311#557—28no—
312#556—216no—
313#556—232no—
314#556—28no—
315#556—216no—
316#556—28no—
317#556—216no—
318#555—216no—
319#555—28no—
320#553—216no—
321#553—28no—
322#553—216no—
323#553—28no—
324#550—28no—
325D4×Q8—28no—
326#548—28no—
327#548—28no—
328#548—216no—
329#542—232no—
330#542—216no—
331#537—28no—
332#536—216no—
333#533—216no—
334#533—28no—
335#532—216no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348#529—216no—
349#529—28no—
350#529—216no—
351#529—216no—
352#529D4116yescomplemented
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2311yescharacteristic
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2311yescharacteristic
437#519—216no—
438C4×#41—28no—
439C4×#41—216no—
440C4×#41—28no—
441C4×#41—28no—
442C4×#41—28no—
443C2×C4×Q8—28no—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2314yes—
462C2×C4×Q8C2314yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2314yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2314yes—
514C2×#117C2314yes—
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2312yes—
525C22×C42C2312yes—
526C22×C42C2312yes—
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2312yes—
530C22×C42C2312yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533#400C2314yes—
534#400C2314yes—
535#400C2314yes—
536#400C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2314yes—
575#395C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#391C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2314yes—
622#391C2312yes—
623#391C2314yes—
624#391C2314yes—
625#391C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
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#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#384C2312yes—
774#384C2312yes—
775#384C2314yes—
776#384C2312yes—
777#384C2311yescharacteristic
778#384C2311yescharacteristic
779#382C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2312yes—
783#381C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—42no—
868C22×Q8—24no—
869C22×Q8—28no—
870C22×Q8—24no—
871C22×Q8—28no—
872C22×Q8—44no—
873C22×Q8—42no—
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2414yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C4⋊Q8—28no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—216no—
932C4⋊Q8—216no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936#127—28no—
937#127—24no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—216no—
942#126—216no—
943#126—28no—
944#126—28no—
945#126—216no—
946#126—216no—
947#126C2×D4116yes—
948#125—28no—
949#125—28no—
950#125—24no—
951#125—28no—
952#125C2×D418yes—
953#124—24no—
954#124—216no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—216no—
962#124—216no—
963#124—216no—
964#124—28no—
965#124—84no—
966#124C2×D418yes—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—216no—
971#123—216no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—84no—
976#123C2×D4116yes—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—82no—
996C22⋊Q8—84no—
997C22⋊Q8—82no—
998C22⋊Q8C2×D418yes—
999C22⋊Q8#4118yescomplemented
1000#121—28no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—24no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—44no—
1019#121—44no—
1020#121—84no—
1021#121C2×D418yes—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—216no—
1030C4×Q8—216no—
1031C4×Q8—216no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—44no—
1044C4×Q8C2×D418yes—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—84no—
1076C4×D4—84no—
1077C4×D4C2×D418yes—
1078C4×D4C2×D4116yes—
1079#117—24no—
1080#117—24no—
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—24no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—216no—
1090#117—216no—
1091#117—24no—
1092#117—28no—
1093#117—24no—
1094#117—28no—
1095#117—28no—
1096#117—82no—
1097#117C2×D4116yes—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—44no—
1102C2×C4⋊C4—42no—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C42—28no—
1235C2×C42—28no—
1236C2×C42—24no—
1237C2×C42—24no—
1238C2×C42—28no—
1239C2×C42—28no—
1240C2×C42—44no—
1241C2×C42C2×D418yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321C24C2512yes—
1322C24C2512yes—
1323C24C2511yescharacteristic
1324C24C2512yes—
1325C24C2511yescharacteristic
1326C24C2511yescharacteristic
1327#41—432no—
1328#41—416no—
1329#41—416no—
1330#41—416no—
1331#41—416no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—28no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—28no—
1344C2×Q8—24no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—42no—
1352C2×Q8—44no—
1353C2×Q8—41no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—44no—
1357C2×Q8—42no—
1358C2×Q8—44no—
1359C2×Q8—432no—
1360C2×Q8—416no—
1361C2×Q8C22×D414yes—
1362C2×Q8C2×#4114yes—
1363C2×Q82−1+414yes—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—41no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—41no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4C22×D414yes—
1420C2×D4C22×D418yes—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—28no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4C22×D418yes—
1489C22×C4C22×D414yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D414yes—
1492C22×C4C2×#4114yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2514yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2514yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2514yes—
1504C22×C4C2514yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—28no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—28no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—24no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4C22×D414yes—
1585C4⋊C4C22×D418yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D418yes—
1588C4⋊C4C22×D418yes—
1589C4⋊C4C22×D418yes—
1590C4⋊C4C2×#4114yes—
1591C4⋊C4C2×#4118yes—
1592C22⋊C4—28no—
1593C22⋊C4—22no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—22no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—24no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4C22×D418yes—
1648C22⋊C4C22×D418yes—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D418yes—
1651C22⋊C4C22×D418yes—
1652C22⋊C4C2×#4118yes—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—24no—
1657C42—24no—
1658C42—24no—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—24no—
1663C42—22no—
1664C42—24no—
1665C42—24no—
1666C42—22no—
1667C42—24no—
1668C42—22no—
1669C42—28no—
1670C42—28no—
1671C42—28no—
1672C42—28no—
1673C42—28no—
1674C42—24no—
1675C42—24no—
1676C42—42no—
1677C42—42no—
1678C42—44no—
1679C42—44no—
1680C42—44no—
1681C42C22×D414yes—
1682C42C22×D414yes—
1683C42C22×D414yes—
1684C42C22×D418yes—
1685C42C22×D414yes—
1686C23—21no—
1687C23—22no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—22no—
1692C23—21no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23C23×D412yes—
1726C23C23×D414yes—
1727C23C22×#4112yes—
1728C23C2611yescharacteristic
1729Q8—28no—
1730Q8—28no—
1731Q8—28no—
1732Q8—48no—
1733Q8—416no—
1734Q8—44no—
1735Q8—48no—
1736Q8—48no—
1737Q8—84no—
1738Q8—88no—
1739D4—28no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744D4—48no—
1745D4—48no—
1746D4—44no—
1747D4—48no—
1748D4—48no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—216no—
1781C2×C4—28no—
1782C2×C4—28no—
1783C2×C4—28no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—416no—
1837C2×C4—48no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—82no—
1847C2×C4—82no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—164no—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D414yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D412yes—
1861C2×C4C22×#4114yes—
1862C2×C4C22×#4114yes—
1863C2×C4C22×#4112yes—
1864C2×C4C22×#4112yes—
1865C2×C4C2×2−1+414yes—
1866C2×C4C2×2−1+412yes—
1867C2×C4#58512yes—
1868C2×C4#58512yes—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—24no—
1873C22—22no—
1874C22—24no—
1875C22—24no—
1876C22—22no—
1877C22—22no—
1878C22—41no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—41no—
1888C22—42no—
1889C22—41no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—41no—
1911C22C24×D411yescharacteristic
1912C22C23×#4111yescharacteristic
1913C22C22×2−1+411yescharacteristic
1914C22C2×#58511yescharacteristic
1915C22C2×#58511yescharacteristic
1916C22H(7,𝔽2)11yescharacteristic
1917C222−1+611yescharacteristic
1918C4—24no—
1919C4—22no—
1920C4—24no—
1921C4—24no—
1922C4—22no—
1923C4—22no—
1924C4—24no—
1925C4—22no—
1926C4—24no—
1927C4—22no—
1928C4—24no—
1929C4—42no—
1930C4—44no—
1931C4—42no—
1932C4—41no—
1933C4—41no—
1934C4—42no—
1935C4—41no—
1936C4—41no—
1937C4—42no—
1938C4—44no—
1939C4—42no—
1940C4—42no—
1941C4—44no—
1942C4—41no—
1943C4—42no—
1944C4—44no—
1945C4D4×#4114yes—
1946C4#348914yes—
1947C2—42no—
1948C2—42no—
1949C2—44no—
1950C2—81no—
1951C2—82no—
1952C2—82no—
1953C2C2×D4×#4111yescharacteristic
1954C2C2×#348911yescharacteristic
1955C2#6285311yescharacteristic
1956C2#6293811yescharacteristic
1957C2#6295311yescharacteristic
1958C2#6299511yescharacteristic
1959C2#6299911yescharacteristic
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×#3518C2semidirect
2. C2×#3480C2semidirect
3. #59810C2semidirect
4. #59755C2semidirect
5. #59315C2semidirect
6. #59244C2semidirect
7. #59152C2semidirect
8. #59137C2semidirect
9. #59072C2semidirect
10. #59043C2semidirect
11. #44689C2semidirect
12. #44609C2semidirect
13. #43919C2semidirect
14. #43917C2semidirect
15. #39469C2semidirect
16. #39468C2semidirect
17. #39343C2semidirect
18. #39335C2semidirect
19. #39136C2semidirect
20. #39125C2semidirect
21. #38051C2semidirect
22. #38025C2semidirect
23. #36579C2semidirect
24. Q8×C22⋊Q8C2semidirect
25. #36411C2semidirect
26. #36274C2semidirect
27. #35663C2semidirect
28. #35569C2semidirect
29. #35297C2semidirect
30. #35258C2semidirect
31. #34976C2semidirect
32. #34947C2semidirect
33. #34268C2semidirect
34. #34243C2semidirect
35. C4×#537C2semidirect
352. #529D4semidirect
999. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35182
C2×#34802
#598102
#597552
#593152
#592442
#591522
#591372
#590722
#590432
#446892
#446092
#439192
#439172
#394692
#394682
#393432
#393352
#391362
#391252
#380512
#380252
#365792
Q8×C22⋊Q82
#364112
#362742
#356632
#355692
#352972
#352582
#349762
#349472
#342682
#342432
C4×#5372