Finite Group Databasebeta

← #7692199

Subgroups — #7692199

Order 512.

7565 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59164C214yesmaximal, complemented
5#59129C212yesmaximal, complemented
6#59104C212yesmaximal, complemented
7#59080C212yesmaximal, complemented
8#59071C211yesmaximal, characteristic, complemented
9#59051C211yesmaximal, characteristic, complemented
10#59005C212yesmaximal, complemented
11#45207C212yesmaximal, complemented
12#45057C212yesmaximal, complemented
13#44165C214yesmaximal, complemented
14#44160C214yesmaximal, complemented
15#39962C212yesmaximal, complemented
16#39862C212yesmaximal, complemented
17#39171C211yesmaximal, characteristic, complemented
18#39137C211yesmaximal, characteristic, complemented
19#37736C214yesmaximal, complemented
20#37699C212yesmaximal, complemented
21Q8×#121C211yesmaximal, characteristic, complemented
22#36492C212yesmaximal, complemented
23#36404C211yesmaximal, characteristic, complemented
24#36230C212yesmaximal, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36125C211yesmaximal, characteristic, complemented
27#36108C212yesmaximal, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35909C212yesmaximal, complemented
30#35787C212yesmaximal, complemented
31#34743C212yesmaximal, complemented
32#34708C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34295C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2212yescomplemented
43C2×#554C2212yes—
44C2×#553C2212yescomplemented
45C2×#553C2214yescomplemented
46C2×#552C2212yes—
47C2×#551C2214yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×D4×Q8C2211yescharacteristic
51C2×D4×Q8C2212yescomplemented
52C2×#548C2212yes—
53C2×#548C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×#542C2212yes—
59C2×#539C2214yes—
60C2×#533C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2211yescharacteristic, complemented
63C2×#532C2212yescomplemented
64C2×#529C2211yescharacteristic
65C2×#529C2212yescomplemented
66C2×#529C2214yescomplemented
67C2×#525C2212yes—
68C2×#525C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2212yescomplemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2857C2212yescomplemented
79#2856C2211yescharacteristic
80#2855C2212yescomplemented
81#2851C2214yescomplemented
82#2850C2212yescomplemented
83#2847C2212yes—
84#2719C2214yescomplemented
85#2710C2214yescomplemented
86#2707C2214yescomplemented
87#2706C2214yescomplemented
88#2705C2214yescomplemented
89#2703C2214yes—
90#2703C2214yescomplemented
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2695C2214yescomplemented
94#2693C2214yes—
95#2691C2214yescomplemented
96#2682C2214yes—
97#2681C2214yescomplemented
98#2678C2214yes—
99#2676C2214yes—
100#2676C2214yescomplemented
101#2674C2214yescomplemented
102#2673C2214yescomplemented
103#2671C2214yes—
104#2669C2214yes—
105#2664C2214yescomplemented
106#2640C2212yescomplemented
107#2636C2214yescomplemented
108#2620C2212yescomplemented
109#2611C2214yescomplemented
110#2609C2214yescomplemented
111#2603C2214yes—
112#2601C2214yescomplemented
113#2568C2211yescharacteristic, complemented
114#2563C2212yescomplemented
115#2562C2214yescomplemented
116#2560C2214yes—
117#2560C2214yescomplemented
118#2558C2214yescomplemented
119#2548C2212yescomplemented
120#2546C2211yescharacteristic, complemented
121#2546C2212yescomplemented
122#2544C2212yes—
123#2541C2211yescharacteristic
124#2541C2211yescharacteristic, complemented
125#2541C2212yescomplemented
126#2540C2212yes—
127#2540C2212yes—
128#2538C2212yes—
129#2538C2211yescharacteristic
130#2538C2211yescharacteristic, complemented
131#2537C2212yes—
132#2535C2214yes—
133#2491C2214yescomplemented
134#2490C2212yescomplemented
135#2490C2212yescomplemented
136#2489C2212yes—
137#2488C2214yescomplemented
138#2481C2214yescomplemented
139#2481C2212yescomplemented
140#2477C2214yes—
141#2477C2214yescomplemented
142#2475C2214yes—
143#2472C2214yes—
144#2470C2214yescomplemented
145#2469C2212yescomplemented
146#2468C2214yescomplemented
147#2467C2214yescomplemented
148#2466C2214yescomplemented
149#2464C2214yes—
150#2464C2214yescomplemented
151#2464C2214yescomplemented
152#2463C2214yes—
153#2463C2214yescomplemented
154#2463C2214yescomplemented
155#2459C2214yescomplemented
156#2458C2212yes—
157#2457C2214yes—
158#2457C2214yescomplemented
159#2456C2214yes—
160#2456C2214yescomplemented
161#2455C2214yes—
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2453C2212yescomplemented
165#2453C2211yescharacteristic, complemented
166#2452C2214yes—
167#2452C2214yescomplemented
168#2450C2214yescomplemented
169#2449C2214yescomplemented
170#2448C2212yescomplemented
171#2448C2211yescharacteristic, complemented
172#2446C2212yescomplemented
173#2445C2212yes—
174#2443C2212yes—
175#2442C2212yescomplemented
176#2442C2211yescharacteristic, complemented
177#2436C2212yescomplemented
178#2436C2212yescomplemented
179#2436C2211yescharacteristic, complemented
180#2433C2212yes—
181#2432C2212yes—
182#2432C2212yescomplemented
183#2431C2212yes—
184#2431C2212yescomplemented
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yescomplemented
188#2429C2214yescomplemented
189#2429C2212yescomplemented
190#2428C2212yes—
191#2428C2212yes—
192#2428C2214yes—
193#2428C2212yes—
194#2428C2212yescomplemented
195#2427C2212yes—
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yes—
199#2426C2212yes—
200#2426C2211yescharacteristic
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2425C2214yescomplemented
205#2425C2214yescomplemented
206#2424C2214yes—
207#2424C2214yes—
208#2424C2214yes—
209#2424C2214yes—
210#2421C2212yes—
211#2421C2211yescharacteristic
212#2421C2212yescomplemented
213#2420C2212yes—
214#2417C2212yescomplemented
215#2417C2214yescomplemented
216#2416C2211yescharacteristic
217#2416C2212yescomplemented
218#2415C2212yescomplemented
219#2414C2212yes—
220#2414C2212yes—
221#2412C2214yes—
222#2409C2211yescharacteristic
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2398C2212yes—
229#2396C2212yescomplemented
230#2392C2214yes—
231#2392C2214yescomplemented
232#2373C2214yescomplemented
233#2367C2212yes—
234#2367C2211yescharacteristic
235#2367C2212yescomplemented
236#2366C2212yes—
237#2366C2214yescomplemented
238#2365C2211yescharacteristic, complemented
239#2365C2212yescomplemented
240#2364C2212yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2214yescomplemented
244#2362C2212yescomplemented
245#2361C2212yes—
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2361C2214yescomplemented
250#2360C2211yescharacteristic
251#2360C2212yescomplemented
252#2360C2212yescomplemented
253#2359C2212yes—
254#2358C2214yes—
255#2358C2212yes—
256#2355C2212yescomplemented
257#2354C2211yescharacteristic
258#2352C2211yescharacteristic
259#2352C2214yescomplemented
260#2352C2212yescomplemented
261#2351C2212yescomplemented
262Q8×C4⋊C4C2211yescharacteristic, complemented
263#2349C2211yescharacteristic
264#2346C2212yescomplemented
265#2342C2212yes—
266#2341C2212yes—
267#2341C2212yescomplemented
268Q8×C22⋊C4C2212yescomplemented
269#2339C2211yescharacteristic
270D4×C22⋊C4C2211yescharacteristic
271#2334C2214yescomplemented
272#2328C2212yes—
273#2328C2214yescomplemented
274#2326C2212yes—
275#2324C2214yescomplemented
276#2324C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yescomplemented
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2214yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2214yescomplemented
291C4×#120C2212yes—
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2295C2211yescharacteristic, complemented
295#2290C2214yescomplemented
296#2290C2212yescomplemented
297#2276C2212yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#559—216no—
311#559—28no—
312#557—28no—
313#556—216no—
314#556D4116yescomplemented
315#554—216no—
316#553—232no—
317#553—216no—
318#552—216no—
319#551—232no—
320#550—216no—
321#550—28no—
322D4×Q8—28no—
323D4×Q8—48no—
324#548—216no—
325#548—216no—
326#547—28no—
327#547—28no—
328#546—216no—
329#546—28no—
330#542—216no—
331#539—232no—
332#533—28no—
333#532—28no—
334#532—216no—
335#532—48no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2312yes—
343C2×#127C2314yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347#529—232no—
348#529—216no—
349#529—28no—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371#525—216no—
372#525—48no—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8—216no—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#120C2312yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433#520—216no—
434C4×#41—216no—
435C4×#41—28no—
436C4×#41—216no—
437C2×C4×Q8—28no—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4—28no—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2314yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2314yes—
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2312yes—
512C22×C42C2314yes—
513C22×C42C2312yes—
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517C22×C42C2312yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#400C2312yes—
524#400C2312yes—
525#399C2314yes—
526#399C2314yes—
527#399C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2314yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2312yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#395C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2312yes—
582#393C2312yes—
583#393C2312yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2314yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2312yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#382C2311yescharacteristic
773#382C2312yes—
774#382C2314yes—
775#382C2314yes—
776#382C2311yescharacteristic
777#381C2312yes—
778#381C2314yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2314yes—
792#380C2312yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#379C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845#376C2312yes—
846#376C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—28no—
869C22×Q8—42no—
870C22×Q8—44no—
871C22×Q8—44no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2414yes—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—42no—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C23×C4—28no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—48no—
936C4⋊Q8C2×D418yes—
937#127—28no—
938#127—216no—
939#127—28no—
940#127—24no—
941#127—44no—
942#126—28no—
943#126—216no—
944#126—216no—
945#126—216no—
946#126C2×D4132yes—
947#125—24no—
948#125—216no—
949#125—28no—
950#125—28no—
951#125—216no—
952#124—24no—
953#124—28no—
954#124—28no—
955#124—24no—
956#124—24no—
957#124—216no—
958#124—216no—
959#124—28no—
960#124—44no—
961#124—44no—
962#124C2×D4116yes—
963#123—28no—
964#123—216no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—28no—
972#123—48no—
973C22⋊Q8—24no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—24no—
986C22⋊Q8—216no—
987C22⋊Q8—48no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8C2×D4116yes—
992#121—28no—
993#121—28no—
994#121—216no—
995#121—28no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—216no—
1003#121—216no—
1004#121—216no—
1005#121—216no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—42no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121#4118yescomplemented
1018#120—28no—
1019#120—216no—
1020#120—48no—
1021#120—48no—
1022C4×Q8—24no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—24no—
1034C4×Q8—44no—
1035C4×Q8—44no—
1036C4×Q8C2×D418yes—
1037C4×Q8C2×D4116yes—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—216no—
1057C4×D4—216no—
1058C4×D4—24no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—216no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—42no—
1067C4×D4—42no—
1068C4×D4—44no—
1069C4×D4—48no—
1070C4×D4—48no—
1071C4×D4—48no—
1072C4×D4—48no—
1073C4×D4—48no—
1074C4×D4—42no—
1075C4×D4C2×D418yes—
1076#117—24no—
1077#117—216no—
1078#117—28no—
1079#117—28no—
1080#117—216no—
1081#117—28no—
1082#117—216no—
1083#117—44no—
1084#117C2×D4116yes—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—216no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—216no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—44no—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C42—28no—
1222C2×C42—24no—
1223C2×C42—24no—
1224C2×C42—28no—
1225C2×C42—216no—
1226C2×C42—44no—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2414yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2414yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2414yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2412yes—
1276#95C2411yescharacteristic
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310C24—24no—
1311C24—24no—
1312C24—24no—
1313C24—42no—
1314C24—42no—
1315C24—42no—
1316C24—42no—
1317C24C2512yes—
1318C24C2514yes—
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323#41—416no—
1324#41—432no—
1325#41—432no—
1326#41—432no—
1327#41—816no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—28no—
1333C2×Q8—24no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—416no—
1347C2×Q8—816no—
1348C2×Q8C22×D418yes—
1349C2×Q8C22×D414yes—
1350C2×Q8H(5,𝔽2)14yes—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—416no—
1415C2×D4C22×D414yes—
1416C2×D4C2×#4114yes—
1417C2×D4C2×#4118yes—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—28no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—22no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—28no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—28no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—28no—
1454C22×C4—28no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—41no—
1474C22×C4—42no—
1475C22×C4—44no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—41no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—816no—
1489C22×C4C22×D418yes—
1490C22×C4C2×#4114yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2514yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—41no—
1561C4⋊C4—41no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C22×D4116yes—
1572C4⋊C4C22×D414yes—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C22×D418yes—
1575C4⋊C4C22×D418yes—
1576C4⋊C4C2×#4114yes—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—41no—
1621C22⋊C4—41no—
1622C22⋊C4—41no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4C22×D418yes—
1643C22⋊C4C22×D4116yes—
1644C22⋊C4C22×D4116yes—
1645C22⋊C4C2×#4118yes—
1646C42—24no—
1647C42—24no—
1648C42—22no—
1649C42—22no—
1650C42—24no—
1651C42—22no—
1652C42—24no—
1653C42—28no—
1654C42—22no—
1655C42—24no—
1656C42—22no—
1657C42—22no—
1658C42—24no—
1659C42—28no—
1660C42—22no—
1661C42—28no—
1662C42—24no—
1663C42—22no—
1664C42—24no—
1665C42—22no—
1666C42—22no—
1667C42—42no—
1668C42—42no—
1669C42—41no—
1670C42—44no—
1671C42—41no—
1672C42—44no—
1673C42—44no—
1674C42C22×D414yes—
1675C42C22×D4116yes—
1676C42C22×D418yes—
1677C23—21no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—21no—
1701C23—24no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—22no—
1706C23—24no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—24no—
1715C23—48no—
1716C23—48no—
1717C23—48no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23C23×D414yes—
1723C23C22×#4112yes—
1724C23C22×#4114yes—
1725C23#58512yes—
1726C23C2611yescharacteristic
1727Q8—216no—
1728Q8—28no—
1729Q8—28no—
1730Q8—48no—
1731Q8—44no—
1732Q8—48no—
1733Q8—88no—
1734D4—28no—
1735D4—28no—
1736D4—48no—
1737D4—48no—
1738D4—416no—
1739D4—416no—
1740D4—416no—
1741D4—44no—
1742D4—48no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—44no—
1747D4—88no—
1748D4—84no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—84no—
1753D4—88no—
1754D4—88no—
1755D4—88no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—28no—
1773C2×C4—216no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—48no—
1832C2×C4—416no—
1833C2×C4—416no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—416no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—84no—
1843C2×C4—82no—
1844C2×C4—88no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—88no—
1849C2×C4—88no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4C23×D414yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D418yes—
1856C2×C4C23×D414yes—
1857C2×C4C23×D414yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4C22×#4114yes—
1861C2×C4C22×#4112yes—
1862C2×C4C22×#4112yes—
1863C2×C4C2×H(5,𝔽2)14yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4#58512yes—
1866C2×C4#58512yes—
1867C22—22no—
1868C22—24no—
1869C22—22no—
1870C22—24no—
1871C22—22no—
1872C22—24no—
1873C22—22no—
1874C22—22no—
1875C22—24no—
1876C22—22no—
1877C22—24no—
1878C22—24no—
1879C22—42no—
1880C22—41no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—41no—
1889C22—42no—
1890C22—41no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—41no—
1895C22—42no—
1896C22—44no—
1897C22—44no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—44no—
1908C22—42no—
1909C22—816no—
1910C22C24×D411yescharacteristic
1911C22C23×#4111yescharacteristic
1912C22C22×H(5,𝔽2)11yescharacteristic
1913C22C2×#58511yescharacteristic
1914C22C2×#58511yescharacteristic
1915C22C2×#58511yescharacteristic
1916C222−1+611yescharacteristic
1917C4—24no—
1918C4—22no—
1919C4—24no—
1920C4—24no—
1921C4—24no—
1922C4—24no—
1923C4—22no—
1924C4—28no—
1925C4—41no—
1926C4—42no—
1927C4—41no—
1928C4—42no—
1929C4—41no—
1930C4—42no—
1931C4—41no—
1932C4—42no—
1933C4—44no—
1934C4—41no—
1935C4—42no—
1936C4—41no—
1937C4—44no—
1938C4—41no—
1939C4—42no—
1940C4—42no—
1941C4—41no—
1942C4—42no—
1943C4—41no—
1944C4D4×#4114yes—
1945C4#348814yes—
1946C2—42no—
1947C2—44no—
1948C2—44no—
1949C2—42no—
1950C2—84no—
1951C2—82no—
1952C2C2×D4×#4111yescharacteristic
1953C2C2×#348811yescharacteristic
1954C2#6281611yescharacteristic
1955C2#6296711yescharacteristic
1956C2#6298411yescharacteristic
1957C2#6300211yescharacteristic
1958C2#6301911yescharacteristic
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×#3520C2semidirect
2. C2×#3480C2semidirect
3. #59418C2semidirect
4. #59164C2semidirect
5. #59129C2semidirect
6. #59104C2semidirect
7. #59080C2semidirect
8. #59071C2semidirect
9. #59051C2semidirect
10. #59005C2semidirect
11. #45207C2semidirect
12. #45057C2semidirect
13. #44165C2semidirect
14. #44160C2semidirect
15. #39962C2semidirect
16. #39862C2semidirect
17. #39171C2semidirect
18. #39137C2semidirect
19. #37736C2semidirect
20. #37699C2semidirect
21. Q8×#121C2semidirect
22. #36492C2semidirect
23. #36404C2semidirect
24. #36230C2semidirect
25. #36150C2semidirect
26. #36125C2semidirect
27. #36108C2semidirect
28. #36101C2semidirect
29. #35909C2semidirect
30. #35787C2semidirect
31. #34743C2semidirect
32. #34708C2semidirect
33. #34324C2semidirect
34. #34295C2semidirect
35. C4×#546C2semidirect
39. C2×#559C22semidirect
40. C2×#557C22semidirect
42. C2×#556C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
51. C2×D4×Q8C22semidirect
53. C2×#548C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×Q8C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
78. #2857C22semidirect
80. #2855C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
84. #2719C22semidirect
85. #2710C22semidirect
86. #2707C22semidirect
87. #2706C22semidirect
88. #2705C22semidirect
90. #2703C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2695C22semidirect
95. #2691C22semidirect
97. #2681C22semidirect
100. #2676C22semidirect
101. #2674C22semidirect
102. #2673C22semidirect
105. #2664C22semidirect
106. #2640C22semidirect
107. #2636C22semidirect
108. #2620C22semidirect
109. #2611C22semidirect
110. #2609C22semidirect
112. #2601C22semidirect
113. #2568C22semidirect
114. #2563C22semidirect
115. #2562C22semidirect
117. #2560C22semidirect
118. #2558C22semidirect
119. #2548C22semidirect
120. #2546C22semidirect
121. #2546C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
130. #2538C22semidirect
133. #2491C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
137. #2488C22semidirect
138. #2481C22semidirect
139. #2481C22semidirect
141. #2477C22semidirect
144. #2470C22semidirect
145. #2469C22semidirect
146. #2468C22semidirect
147. #2467C22semidirect
148. #2466C22semidirect
150. #2464C22semidirect
151. #2464C22semidirect
153. #2463C22semidirect
154. #2463C22semidirect
155. #2459C22semidirect
158. #2457C22semidirect
160. #2456C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
164. #2453C22semidirect
165. #2453C22semidirect
167. #2452C22semidirect
168. #2450C22semidirect
169. #2449C22semidirect
170. #2448C22semidirect
171. #2448C22semidirect
172. #2446C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2436C22semidirect
178. #2436C22semidirect
179. #2436C22semidirect
182. #2432C22semidirect
184. #2431C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
194. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2425C22semidirect
205. #2425C22semidirect
212. #2421C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
229. #2396C22semidirect
231. #2392C22semidirect
232. #2373C22semidirect
235. #2367C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
239. #2365C22semidirect
243. #2363C22semidirect
244. #2362C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2361C22semidirect
251. #2360C22semidirect
252. #2360C22semidirect
256. #2355C22semidirect
259. #2352C22semidirect
260. #2352C22semidirect
261. #2351C22semidirect
262. Q8×C4⋊C4C22semidirect
264. #2346C22semidirect
267. #2341C22semidirect
268. Q8×C22⋊C4C22semidirect
271. #2334C22semidirect
273. #2328C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
294. #2295C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. #2276C22semidirect
314. #556D4semidirect
1017. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34802
#594182
#591642
#591292
#591042
#590802
#590712
#590512
#590052
#452072
#450572
#441652
#441602
#399622
#398622
#391712
#391372
#377362
#376992
Q8×#1212
#364922
#364042
#362302
#361502
#361252
#361082
#361012
#359092
#357872
#347432
#347082
#343242
#342952
C4×#5462