Finite Group Databasebeta

← #7680437

Subgroups — #7680437

Order 512.

7553 conjugacy classes of subgroups.

The subgroup lattice has 2048 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59770C212yesmaximal, complemented
5#59145C212yesmaximal, complemented
6#59128C212yesmaximal, complemented
7#59128C212yesmaximal, complemented
8#59085C212yesmaximal, complemented
9#59058C212yesmaximal, complemented
10#59051C212yesmaximal, complemented
11#44315C214yesmaximal, complemented
12#44187C214yesmaximal, complemented
13#43920C214yesmaximal, complemented
14#43914C214yesmaximal, complemented
15#39471C211yesmaximal, characteristic, complemented
16#39462C212yesmaximal, complemented
17#39341C212yesmaximal, complemented
18#39341C211yesmaximal, characteristic, complemented
19#39138C211yesmaximal, characteristic, complemented
20#39127C211yesmaximal, characteristic, complemented
21#38042C212yesmaximal, complemented
22#38033C212yesmaximal, complemented
23#36576C211yesmaximal, characteristic, complemented
24#36545C211yesmaximal, characteristic, complemented
25#36410C211yesmaximal, characteristic, complemented
26#36259C211yesmaximal, characteristic, complemented
27#35567C212yesmaximal, complemented
28#35521C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35259C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34267C212yesmaximal, complemented
34#34243C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36#3517—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2214yes—
46C2×#553C2212yes—
47C2×#553C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#550C2212yes—
52C2×#550C2212yes—
53C2×#550C2211yescharacteristic
54C2×#550C2211yescharacteristic
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#548C2212yes—
58C2×#547C2211yescharacteristic
59C2×#547C2212yes—
60C2×#547C2212yes—
61C2×#540C2214yes—
62C2×#540C2212yes—
63C2×#537C2211yescharacteristic
64C2×#537C2212yes—
65C2×#532C2212yes—
66C2×#532C2212yes—
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#532C2212yes—
70C2×#529C2212yes—
71C2×#529C2212yes—
72C2×#529C2212yes—
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic
75C2×#520C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2212yes—
81C22×C4×Q8C2211yescharacteristic
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2856C2211yescharacteristic
85#2856C2212yes—
86#2856C2211yescharacteristic
87#2854C2212yes—
88#2854C2212yes—
89#2851C2212yes—
90#2727C2214yes—
91#2725C2214yes—
92#2725C2214yes—
93#2716C2214yes—
94#2714C2214yes—
95#2714C2214yes—
96#2710C2214yes—
97#2709C2214yes—
98#2707C2214yes—
99#2703C2214yes—
100#2703C2214yes—
101#2695C2214yes—
102#2688C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2675C2214yes—
107#2675C2214yes—
108#2675C2214yes—
109#2673C2214yes—
110#2673C2214yes—
111#2673C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2629C2212yes—
115#2624C2212yes—
116#2619C2212yes—
117#2615C2212yes—
118#2615C2212yes—
119#2615C2212yes—
120#2609C2214yes—
121#2592C2212yes—
122#2584C2212yes—
123#2582C2211yescharacteristic
124#2581C2212yes—
125#2580C2212yes—
126#2562C2212yes—
127#2559C2214yes—
128#2559C2214yes—
129#2558C2214yes—
130#2557C2214yes—
131#2555C2214yes—
132#2555C2214yes—
133#2554C2214yes—
134#2548C2211yescharacteristic
135#2548C2212yes—
136#2547C2211yescharacteristic
137#2546C2211yescharacteristic
138#2545C2212yes—
139#2545C2212yes—
140#2544C2212yes—
141#2543C2214yes—
142#2541C2212yes—
143#2541C2211yescharacteristic
144#2541C2214yes—
145#2541C2212yes—
146#2541C2212yes—
147#2540C2212yes—
148#2540C2212yes—
149#2538C2212yes—
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2537C2211yescharacteristic
154#2535C2212yes—
155#2535C2212yes—
156#2492C2212yes—
157#2490C2212yes—
158#2487C2212yes—
159#2486C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2481C2214yes—
163#2476C2214yes—
164#2475C2214yes—
165#2473C2214yes—
166#2471C2214yes—
167#2467C2214yes—
168#2466C2214yes—
169#2464C2214yes—
170#2464C2214yes—
171#2464C2214yes—
172#2464C2214yes—
173#2464C2214yes—
174#2462C2214yes—
175#2461C2214yes—
176#2461C2214yes—
177#2460C2214yes—
178#2459C2214yes—
179#2458C2214yes—
180#2458C2214yes—
181#2457C2214yes—
182#2456C2214yes—
183#2456C2214yes—
184#2456C2214yes—
185#2456C2214yes—
186#2456C2214yes—
187#2456C2214yes—
188#2453C2212yes—
189#2452C2214yes—
190#2452C2212yes—
191#2449C2214yes—
192#2449C2214yes—
193#2446C2212yes—
194#2445C2212yes—
195#2445C2214yes—
196#2434C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2428C2214yes—
203#2428C2214yes—
204#2428C2214yes—
205#2428C2212yes—
206#2428C2212yes—
207#2426C2214yes—
208#2426C2212yes—
209#2426C2212yes—
210#2425C2214yes—
211#2425C2214yes—
212#2425C2214yes—
213#2416C2214yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2416C2214yes—
218#2416C2212yes—
219#2416C2212yes—
220#2415C2212yes—
221#2414C2212yes—
222#2414C2212yes—
223#2414C2212yes—
224#2414C2212yes—
225#2413C2214yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2407C2212yes—
233#2407C2212yes—
234#2392C2214yes—
235#2392C2214yes—
236#2370C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2365C2212yes—
240#2364C2214yes—
241#2364C2214yes—
242#2363C2212yes—
243#2363C2214yes—
244#2362C2214yes—
245#2361C2214yes—
246#2361C2214yes—
247#2361C2214yes—
248#2360C2212yes—
249#2360C2214yes—
250#2359C2214yes—
251#2355C2211yescharacteristic
252#2354C2211yescharacteristic
253#2352C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2341C2212yes—
258#2339C2212yes—
259#2334C2214yes—
260#2325C2212yes—
261#2325C2212yes—
262#2324C2212yes—
263#2324C2211yescharacteristic
264#2324C2211yescharacteristic
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2211yescharacteristic
270#2323C2211yescharacteristic
271#2323C2212yes—
272#2316C2211yescharacteristic
273#2314C2212yes—
274#2311C2211yescharacteristic
275#2311C2212yes—
276#2311C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2212yes—
293C4×#121C2212yes—
294C4×#121C2212yes—
295#2297C2212yes—
296#2297C2212yes—
297C2×#389C2212yes—
298#2285C2211yescharacteristic
299#2274C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C23×Q8C2311yescharacteristic
311#559—28no—
312#559—216no—
313#557—28no—
314#557—28no—
315#556—216no—
316#556—28no—
317#553—216no—
318#553—232no—
319#553—28no—
320#553—216no—
321#553—28no—
322#553—216no—
323#550—28no—
324#550—216no—
325#550—28no—
326#550—28no—
327#550—216no—
328#548—28no—
329#548—28no—
330#548—48no—
331#547—216no—
332#547—28no—
333#547—48no—
334#540—232no—
335#540—216no—
336#537—28no—
337#537—216no—
338#532—216no—
339#532—216no—
340#532—28no—
341#532—28no—
342#532—48no—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2311yescharacteristic
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2314yes—
352C2×#127C2312yes—
353C2×#127C2311yescharacteristic
354C2×#127C2312yes—
355C2×#127C2314yes—
356#529—216no—
357#529—28no—
358#529—216no—
359#529—216no—
360#529D4116yescomplemented
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2314yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2311yescharacteristic
459#520—216no—
460C4×#41—28no—
461C4×#41—216no—
462C4×#41—28no—
463C4×#41—28no—
464C4×#41—28no—
465C2×C4×Q8—28no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2312yes—
514C2×C4×D4C2314yes—
515C2×C4×D4C2314yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2314yes—
518C2×C4×D4C2314yes—
519C2×C4×D4C2314yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2314yes—
523C2×C4×D4C2314yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2311yescharacteristic
526C2×#117C2311yescharacteristic
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C2×#117C2312yes—
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2314yes—
534C2×#117C2311yescharacteristic
535C2×#117C2312yes—
536C2×#117C2311yescharacteristic
537C2×#117C2312yes—
538C2×#117C2312yes—
539C2×#117C2312yes—
540C22×C4⋊C4C2312yes—
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2312yes—
543C22×C4⋊C4C2311yescharacteristic
544C22×C4⋊C4C2314yes—
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2311yescharacteristic
547C22×C4⋊C4C2314yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2311yescharacteristic
551C22×C42C2311yescharacteristic
552C22×C42C2312yes—
553C22×C42C2312yes—
554C22×C42C2312yes—
555C22×C42C2311yescharacteristic
556#400C2314yes—
557#400C2314yes—
558#400C2314yes—
559#399C2314yes—
560#399C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#395C2314yes—
585#395C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#393C2314yes—
606#393C2314yes—
607#393C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2314yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2312yes—
656#390C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2314yes—
695#389C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#384C2312yes—
793#384C2311yescharacteristic
794#384C2311yescharacteristic
795#382C2312yes—
796#382C2312yes—
797#381C2314yes—
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2311yescharacteristic
803#380C2312yes—
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2314yes—
854C2×#95C2312yes—
855C2×#95C2314yes—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—42no—
872C2×#41—44no—
873C2×#41—42no—
874C2×#41—44no—
875C2×#41—42no—
876C2×#41—42no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C22×Q8—24no—
884C22×Q8—24no—
885C22×Q8—42no—
886C22×Q8C2412yes—
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2411yescharacteristic
891C22×Q8C2411yescharacteristic
892C22×Q8C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C22×D4C2412yes—
907C22×D4C2411yescharacteristic
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2411yescharacteristic
951C4⋊Q8—28no—
952C4⋊Q8—28no—
953C4⋊Q8—28no—
954C4⋊Q8—24no—
955C4⋊Q8—24no—
956#127—28no—
957#127—28no—
958#127—24no—
959#127—216no—
960#127—24no—
961#127—28no—
962#127—44no—
963#127—84no—
964#126—216no—
965#126—28no—
966#126—28no—
967#126—28no—
968#126—28no—
969#126—28no—
970#126C2×D4116yes—
971#125—28no—
972#125—28no—
973#125—24no—
974#125—216no—
975#125—28no—
976#125C2×D418yes—
977#124—24no—
978#124—28no—
979#124—28no—
980#124—28no—
981#124—28no—
982#124—28no—
983#124—28no—
984#124—28no—
985#124—44no—
986#124—48no—
987#124C2×D418yes—
988#123—28no—
989#123—216no—
990#123—28no—
991#123—28no—
992#123—216no—
993#123—28no—
994#123—28no—
995#123—216no—
996#123—216no—
997#123—48no—
998#123—48no—
999#123—84no—
1000#123C2×D4116yes—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—216no—
1009C22⋊Q8—28no—
1010C22⋊Q8—48no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8C2×D418yes—
1014C22⋊Q8#4118yescomplemented
1015#121—28no—
1016#121—24no—
1017#121—28no—
1018#121—216no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—24no—
1027#121—24no—
1028#121—28no—
1029#121—216no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—216no—
1034#121—28no—
1035#121—216no—
1036#121—28no—
1037#121—28no—
1038#121—216no—
1039#121—28no—
1040#121—216no—
1041#121—216no—
1042#121—216no—
1043#121—28no—
1044#121—216no—
1045#121—28no—
1046#121—216no—
1047#121—48no—
1048#121—48no—
1049#121—48no—
1050#121—48no—
1051#121—44no—
1052#121—44no—
1053#121—44no—
1054#121—44no—
1055#121—44no—
1056#121—44no—
1057#121—84no—
1058#121—84no—
1059#121—82no—
1060#121—82no—
1061#121C2×D418yes—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—28no—
1065C4×Q8—24no—
1066C4×Q8—28no—
1067C4×Q8—28no—
1068C4×Q8—28no—
1069C4×Q8—24no—
1070C4×Q8—28no—
1071C4×Q8—24no—
1072C4×Q8—24no—
1073C4×Q8—24no—
1074C4×Q8—24no—
1075C4×Q8—24no—
1076C4×Q8—28no—
1077C4×Q8—44no—
1078C4×Q8C2×D418yes—
1079C4×D4—24no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—24no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—216no—
1094C4×D4—28no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—216no—
1100C4×D4—216no—
1101C4×D4—216no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—44no—
1113C4×D4—44no—
1114C4×D4—44no—
1115C4×D4—48no—
1116C4×D4—48no—
1117C4×D4—48no—
1118C4×D4—84no—
1119C4×D4—84no—
1120C4×D4C2×D418yes—
1121C4×D4C2×D4116yes—
1122#117—24no—
1123#117—24no—
1124#117—24no—
1125#117—24no—
1126#117—216no—
1127#117—28no—
1128#117—24no—
1129#117—28no—
1130#117—24no—
1131#117—28no—
1132#117—28no—
1133#117—44no—
1134#117—82no—
1135#117C2×D4116yes—
1136C2×C4⋊C4—28no—
1137C2×C4⋊C4—28no—
1138C2×C4⋊C4—24no—
1139C2×C4⋊C4—216no—
1140C2×C4⋊C4—24no—
1141C2×C4⋊C4—28no—
1142C2×C4⋊C4—42no—
1143C2×C4⋊C4—48no—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2414yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2411yescharacteristic
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C42—28no—
1275C2×C42—28no—
1276C2×C42—24no—
1277C2×C42—24no—
1278C2×C42—28no—
1279C2×C42—28no—
1280C2×C42—44no—
1281C2×C42C2×D418yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2414yes—
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2412yes—
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2414yes—
1302C2×C42C2414yes—
1303C2×C42C2412yes—
1304C2×C42C2412yes—
1305C2×C42C2414yes—
1306C2×C42C2414yes—
1307C2×C42C2411yescharacteristic
1308C2×C42C2411yescharacteristic
1309C2×C42C2412yes—
1310C2×C42C2411yescharacteristic
1311C2×C42C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2412yes—
1343#95C2414yes—
1344#95C2412yes—
1345#95C2414yes—
1346#95C2412yes—
1347#95C2414yes—
1348#95C2414yes—
1349#95C2414yes—
1350C24C2511yescharacteristic
1351C24C2512yes—
1352C24C2512yes—
1353C24C2514yes—
1354C24C2512yes—
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357#41—416no—
1358#41—432no—
1359#41—416no—
1360#41—432no—
1361#41—416no—
1362#41—416no—
1363#41—816no—
1364#41—816no—
1365#41—816no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—22no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—22no—
1373C2×Q8—24no—
1374C2×Q8—22no—
1375C2×Q8—24no—
1376C2×Q8—24no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—41no—
1384C2×Q8—416no—
1385C2×Q8C22×D414yes—
1386C2×Q8C2×#4114yes—
1387C2×Q8H(5,𝔽2)14yes—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—28no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—28no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—28no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—22no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—28no—
1420C2×D4—22no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—28no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—24no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—24no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—41no—
1438C2×D4—42no—
1439C2×D4—41no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—41no—
1446C2×D4—42no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—42no—
1459C2×D4—44no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—44no—
1469C2×D4—42no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—44no—
1478C2×D4—44no—
1479C2×D4C22×D414yes—
1480C2×D4C22×D418yes—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—28no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—22no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—24no—
1515C22×C4—22no—
1516C22×C4—24no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—22no—
1520C22×C4—24no—
1521C22×C4—28no—
1522C22×C4—28no—
1523C22×C4—28no—
1524C22×C4—24no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—42no—
1530C22×C4—42no—
1531C22×C4—42no—
1532C22×C4—42no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—42no—
1537C22×C4—44no—
1538C22×C4—44no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—44no—
1543C22×C4—42no—
1544C22×C4—41no—
1545C22×C4—41no—
1546C22×C4—42no—
1547C22×C4—42no—
1548C22×C4—42no—
1549C22×C4—41no—
1550C22×C4—41no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—44no—
1555C22×C4—44no—
1556C22×C4—44no—
1557C22×C4C22×D418yes—
1558C22×C4C22×D414yes—
1559C22×C4C22×D414yes—
1560C22×C4C22×D414yes—
1561C22×C4C2×#4114yes—
1562C22×C4C2512yes—
1563C22×C4C2514yes—
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2514yes—
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2511yescharacteristic
1573C22×C4C2512yes—
1574C22×C4C2514yes—
1575C22×C4C2511yescharacteristic
1576C22×C4C2511yescharacteristic
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—28no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—22no—
1601C4⋊C4—22no—
1602C4⋊C4—24no—
1603C4⋊C4—22no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—22no—
1607C4⋊C4—22no—
1608C4⋊C4—24no—
1609C4⋊C4—22no—
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—28no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—28no—
1618C4⋊C4—24no—
1619C4⋊C4—28no—
1620C4⋊C4—22no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—28no—
1624C4⋊C4—28no—
1625C4⋊C4—28no—
1626C4⋊C4—24no—
1627C4⋊C4—28no—
1628C4⋊C4—22no—
1629C4⋊C4—22no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—44no—
1635C4⋊C4—42no—
1636C4⋊C4—42no—
1637C4⋊C4—42no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—42no—
1642C4⋊C4—44no—
1643C4⋊C4—42no—
1644C4⋊C4C22×D418yes—
1645C4⋊C4C22×D414yes—
1646C4⋊C4C22×D418yes—
1647C4⋊C4C22×D418yes—
1648C4⋊C4C22×D414yes—
1649C4⋊C4C22×D418yes—
1650C4⋊C4C2×#4114yes—
1651C4⋊C4C2×#4118yes—
1652C22⋊C4—24no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—22no—
1657C22⋊C4—24no—
1658C22⋊C4—22no—
1659C22⋊C4—22no—
1660C22⋊C4—28no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—28no—
1664C22⋊C4—24no—
1665C22⋊C4—22no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—22no—
1671C22⋊C4—28no—
1672C22⋊C4—28no—
1673C22⋊C4—28no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—24no—
1678C22⋊C4—28no—
1679C22⋊C4—24no—
1680C22⋊C4—28no—
1681C22⋊C4—24no—
1682C22⋊C4—28no—
1683C22⋊C4—28no—
1684C22⋊C4—28no—
1685C22⋊C4—28no—
1686C22⋊C4—44no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—42no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—42no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—44no—
1714C22⋊C4C22×D418yes—
1715C22⋊C4C22×D418yes—
1716C22⋊C4C22×D418yes—
1717C22⋊C4C22×D418yes—
1718C22⋊C4C22×D418yes—
1719C22⋊C4C2×#4118yes—
1720C42—22no—
1721C42—24no—
1722C42—24no—
1723C42—22no—
1724C42—24no—
1725C42—24no—
1726C42—22no—
1727C42—24no—
1728C42—24no—
1729C42—24no—
1730C42—22no—
1731C42—24no—
1732C42—24no—
1733C42—22no—
1734C42—24no—
1735C42—22no—
1736C42—28no—
1737C42—24no—
1738C42—24no—
1739C42—42no—
1740C42—42no—
1741C42—44no—
1742C42—44no—
1743C42—44no—
1744C42—44no—
1745C42C22×D414yes—
1746C42C22×D414yes—
1747C42C22×D414yes—
1748C42C22×D418yes—
1749C42C22×D414yes—
1750C23—21no—
1751C23—22no—
1752C23—21no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—21no—
1757C23—22no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—22no—
1762C23—21no—
1763C23—22no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—22no—
1768C23—21no—
1769C23—22no—
1770C23—22no—
1771C23—24no—
1772C23—21no—
1773C23—22no—
1774C23—22no—
1775C23—24no—
1776C23—22no—
1777C23—24no—
1778C23—21no—
1779C23—22no—
1780C23—22no—
1781C23—24no—
1782C23—22no—
1783C23—24no—
1784C23—21no—
1785C23—22no—
1786C23—22no—
1787C23—21no—
1788C23—24no—
1789C23—22no—
1790C23—22no—
1791C23—21no—
1792C23—21no—
1793C23—22no—
1794C23—24no—
1795C23—22no—
1796C23C23×D412yes—
1797C23C23×D414yes—
1798C23C22×#4112yes—
1799C23C2611yescharacteristic
1800Q8—28no—
1801Q8—28no—
1802Q8—28no—
1803Q8—48no—
1804Q8—48no—
1805Q8—44no—
1806Q8—48no—
1807D4—28no—
1808D4—48no—
1809D4—48no—
1810D4—48no—
1811D4—48no—
1812D4—44no—
1813D4—48no—
1814D4—44no—
1815D4—416no—
1816D4—48no—
1817D4—48no—
1818D4—44no—
1819D4—44no—
1820D4—48no—
1821D4—44no—
1822D4—48no—
1823D4—84no—
1824D4—88no—
1825D4—84no—
1826D4—84no—
1827D4—88no—
1828D4—88no—
1829D4—84no—
1830D4—88no—
1831D4—84no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836D4—88no—
1837D4—164no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—28no—
1861C2×C4—216no—
1862C2×C4—28no—
1863C2×C4—28no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—24no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—24no—
1882C2×C4—21no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—24no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—24no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—24no—
1895C2×C4—21no—
1896C2×C4—24no—
1897C2×C4—24no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—44no—
1910C2×C4—48no—
1911C2×C4—48no—
1912C2×C4—48no—
1913C2×C4—416no—
1914C2×C4—48no—
1915C2×C4—44no—
1916C2×C4—48no—
1917C2×C4—44no—
1918C2×C4—44no—
1919C2×C4—48no—
1920C2×C4—84no—
1921C2×C4—88no—
1922C2×C4—84no—
1923C2×C4—84no—
1924C2×C4—82no—
1925C2×C4—82no—
1926C2×C4—84no—
1927C2×C4—88no—
1928C2×C4—88no—
1929C2×C4—84no—
1930C2×C4—88no—
1931C2×C4—84no—
1932C2×C4C23×D412yes—
1933C2×C4C23×D414yes—
1934C2×C4C23×D412yes—
1935C2×C4C23×D412yes—
1936C2×C4C23×D412yes—
1937C2×C4C23×D414yes—
1938C2×C4C23×D414yes—
1939C2×C4C23×D412yes—
1940C2×C4C23×D412yes—
1941C2×C4C22×#4112yes—
1942C2×C4C22×#4114yes—
1943C2×C4C22×#4114yes—
1944C2×C4C22×#4112yes—
1945C2×C4C2×H(5,𝔽2)14yes—
1946C2×C4C2×H(5,𝔽2)12yes—
1947C2×C4#58512yes—
1948C2×C4#58512yes—
1949C22—22no—
1950C22—22no—
1951C22—22no—
1952C22—24no—
1953C22—22no—
1954C22—24no—
1955C22—22no—
1956C22—24no—
1957C22—22no—
1958C22—42no—
1959C22—41no—
1960C22—41no—
1961C22—42no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—42no—
1967C22—41no—
1968C22—42no—
1969C22—41no—
1970C22—41no—
1971C22—42no—
1972C22—42no—
1973C22—44no—
1974C22—42no—
1975C22—44no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—41no—
1980C22—42no—
1981C22—44no—
1982C22—41no—
1983C22—42no—
1984C22—42no—
1985C22—44no—
1986C22—42no—
1987C22—44no—
1988C22—42no—
1989C22—41no—
1990C22—42no—
1991C22—44no—
1992C22—42no—
1993C22—41no—
1994C22—42no—
1995C22—42no—
1996C22—41no—
1997C22—44no—
1998C22C24×D411yescharacteristic
1999C22C23×#4111yescharacteristic
2000C22C22×H(5,𝔽2)11yescharacteristic
2001C22C2×#58511yescharacteristic
2002C22C2×#58511yescharacteristic
2003C22H(7,𝔽2)11yescharacteristic
2004C222−1+611yescharacteristic
2005C4—24no—
2006C4—22no—
2007C4—24no—
2008C4—24no—
2009C4—22no—
2010C4—22no—
2011C4—24no—
2012C4—24no—
2013C4—22no—
2014C4—22no—
2015C4—24no—
2016C4—42no—
2017C4—44no—
2018C4—41no—
2019C4—42no—
2020C4—41no—
2021C4—44no—
2022C4—42no—
2023C4—41no—
2024C4—42no—
2025C4—41no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—42no—
2030C4—44no—
2031C4D4×#4114yes—
2032C4#348814yes—
2033C2—42no—
2034C2—42no—
2035C2—44no—
2036C2—82no—
2037C2—81no—
2038C2—82no—
2039C2—84no—
2040C2C2×D4×#4111yescharacteristic
2041C2C2×#348811yescharacteristic
2042C2#6285311yescharacteristic
2043C2#6292211yescharacteristic
2044C2#6296911yescharacteristic
2045C2#6298611yescharacteristic
2046C2#6300711yescharacteristic
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×#3517C2semidirect
2. C2×#3480C2semidirect
3. #59811C2semidirect
4. #59770C2semidirect
5. #59145C2semidirect
6. #59128C2semidirect
7. #59128C2semidirect
8. #59085C2semidirect
9. #59058C2semidirect
10. #59051C2semidirect
11. #44315C2semidirect
12. #44187C2semidirect
13. #43920C2semidirect
14. #43914C2semidirect
15. #39471C2semidirect
16. #39462C2semidirect
17. #39341C2semidirect
18. #39341C2semidirect
19. #39138C2semidirect
20. #39127C2semidirect
21. #38042C2semidirect
22. #38033C2semidirect
23. #36576C2semidirect
24. #36545C2semidirect
25. #36410C2semidirect
26. #36259C2semidirect
27. #35567C2semidirect
28. #35521C2semidirect
29. #35292C2semidirect
30. #35259C2semidirect
31. #34976C2semidirect
32. #34937C2semidirect
33. #34267C2semidirect
34. #34243C2semidirect
35. C4×#537C2semidirect
360. #529D4semidirect
1014. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34802
#598112
#597702
#591452
#591282
#590852
#590582
#590512
#443152
#441872
#439202
#439142
#394712
#394622
#393412
#391382
#391272
#380422
#380332
#365762
#365452
#364102
#362592
#355672
#355212
#352922
#352592
#349762
#349372
#342672
#342432
C4×#5372