Finite Group Databasebeta

← #7678194

Subgroups — #7678194

Order 512.

7146 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59815C211yesmaximal, characteristic, complemented
5#59660C211yesmaximal, characteristic, complemented
6#59653C211yesmaximal, characteristic, complemented
7#59652C211yesmaximal, characteristic, complemented
8#59652C211yesmaximal, characteristic, complemented
9#59418C211yesmaximal, characteristic, complemented
10#59410C211yesmaximal, characteristic, complemented
11#59140C212yesmaximal, complemented
12#59139C212yesmaximal, complemented
13#59054C212yesmaximal, complemented
14#59053C212yesmaximal, complemented
15#45412C212yesmaximal, complemented
16#45264C212yesmaximal, complemented
17#45023C212yesmaximal, complemented
18#44892C212yesmaximal, complemented
19#43045C214yesmaximal, complemented
20#43040C214yesmaximal, complemented
21#39887C212yesmaximal, complemented
22#39883C214yesmaximal, complemented
23#39862C212yesmaximal, complemented
24#38378C214yesmaximal, complemented
25#36438C212yesmaximal, complemented
26#36234C212yesmaximal, complemented
27#35638C212yesmaximal, complemented
28#35525C212yesmaximal, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35205C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34295C212yesmaximal, complemented
34#34225C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3515—216no—
37C2×#557C2211yescharacteristic, complemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2214yescomplemented
51C2×#551C2214yes—
52C2×#550C2212yes—
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#547C2211yescharacteristic, complemented
56C2×#546C2212yes—
57C2×#541C2212yescomplemented
58C2×#539C2214yes—
59C2×#535C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2211yescharacteristic
63C2×#529C2214yes—
64C2×#529C2212yescomplemented
65C22×#125C2212yescomplemented
66C2×#525C2212yes—
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C22×C4×D4C2211yescharacteristic
72C22×#117C2212yes—
73#2852C2214yescomplemented
74#2851C2214yescomplemented
75#2848C2212yes—
76#2847C2212yes—
77#2732C2214yescomplemented
78#2730C2214yescomplemented
79#2730C2214yescomplemented
80#2728C2214yescomplemented
81#2725C2214yescomplemented
82#2725C2214yescomplemented
83#2719C2214yescomplemented
84#2718C2214yes—
85#2711C2214yes—
86#2707C2214yes—
87#2707C2214yescomplemented
88#2706C2214yes—
89#2706C2214yes—
90#2705C2214yescomplemented
91#2705C2214yescomplemented
92#2703C2214yes—
93#2694C2214yescomplemented
94#2685C2214yes—
95#2682C2214yes—
96#2682C2214yescomplemented
97#2678C2214yes—
98#2678C2214yes—
99#2673C2214yes—
100#2669C2214yes—
101#2636C2214yes—
102#2636C2214yescomplemented
103#2633C2214yescomplemented
104#2611C2214yescomplemented
105#2609C2214yescomplemented
106#2609C2214yescomplemented
107#2603C2214yescomplemented
108#2602C2212yes—
109#2602C2212yes—
110#2601C2214yescomplemented
111#2601C2212yescomplemented
112#2601C2212yescomplemented
113#2598C2214yescomplemented
114#2598C2214yescomplemented
115#2582C2211yescharacteristic, complemented
116#2566C2211yescharacteristic, complemented
117#2566C2214yescomplemented
118#2565C2211yescharacteristic, complemented
119#2562C2212yes—
120#2558C2214yescomplemented
121#2558C2214yescomplemented
122#2554C2214yescomplemented
123#2554C2214yescomplemented
124#2552C2212yescomplemented
125#2545C2212yes—
126#2545C2211yescharacteristic, complemented
127#2544C2211yescharacteristic, complemented
128#2542C2212yescomplemented
129#2541C2212yescomplemented
130#2540C2212yes—
131#2540C2212yes—
132#2540C2212yescomplemented
133#2540C2212yescomplemented
134#2538C2211yescharacteristic
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic, complemented
137#2538C2211yescharacteristic, complemented
138#2538C2214yescomplemented
139#2538C2212yescomplemented
140#2537C2211yescharacteristic
141#2537C2211yescharacteristic
142#2537C2211yescharacteristic, complemented
143#2536C2214yescomplemented
144#2535C2214yescomplemented
145#2519C2214yescomplemented
146#2519C2214yescomplemented
147#2512C2214yescomplemented
148#2500C2211yescharacteristic
149#2499C2211yescharacteristic
150#2490C2212yes—
151#2490C2212yescomplemented
152#2490C2212yescomplemented
153#2489C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2487C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2481C2214yescomplemented
160#2481C2214yescomplemented
161#2480C2214yes—
162#2479C2214yescomplemented
163#2479C2214yescomplemented
164#2478C2214yes—
165#2476C2214yes—
166#2475C2214yescomplemented
167#2471C2214yes—
168#2470C2214yes—
169#2470C2214yes—
170#2467C2214yescomplemented
171#2467C2214yescomplemented
172#2460C2214yescomplemented
173#2456C2214yescomplemented
174#2454C2212yes—
175#2454C2212yescomplemented
176#2448C2212yes—
177#2446C2212yescomplemented
178#2445C2214yescomplemented
179#2443C2214yes—
180#2443C2214yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2442C2214yescomplemented
184#2442C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2441C2214yescomplemented
189#2432C2212yes—
190#2432C2211yescharacteristic
191#2431C2212yes—
192#2431C2211yescharacteristic
193#2429C2212yescomplemented
194#2429C2212yescomplemented
195#2428C2212yes—
196#2428C2212yescomplemented
197#2427C2212yes—
198#2427C2212yescomplemented
199#2426C2212yes—
200#2426C2214yescomplemented
201#2426C2214yescomplemented
202#2426C2212yescomplemented
203#2424C2214yes—
204#2423C2212yescomplemented
205#2421C2212yescomplemented
206#2418C2214yes—
207#2418C2214yes—
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2416C2214yes—
212#2416C2212yes—
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2212yescomplemented
217#2415C2212yescomplemented
218#2414C2214yes—
219#2414C2212yescomplemented
220#2411C2214yes—
221#2408C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yescomplemented
226#2392C2214yes—
227#2392C2212yes—
228#2392C2212yes—
229#2370C2212yescomplemented
230#2370C2212yescomplemented
231#2366C2212yes—
232#2366C2214yescomplemented
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2363C2214yescomplemented
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yescomplemented
239#2361C2212yes—
240#2361C2214yescomplemented
241#2361C2212yescomplemented
242#2360C2212yescomplemented
243#2356C2212yescomplemented
244#2352C2212yescomplemented
245#2352C2212yescomplemented
246#2352C2214yescomplemented
247#2352C2212yescomplemented
248#2351C2212yescomplemented
249#2351C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252#2347C2212yes—
253#2346C2212yes—
254#2341C2212yes—
255#2341C2212yescomplemented
256#2328C2211yescharacteristic
257#2328C2211yescharacteristic
258#2328C2214yescomplemented
259#2326C2211yescharacteristic
260#2326C2211yescharacteristic
261#2324C2212yes—
262#2324C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2214yescomplemented
266#2323C2212yes—
267#2323C2212yes—
268#2321C2212yes—
269#2321C2212yes—
270#2320C2212yescomplemented
271#2317C2211yescharacteristic
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic, complemented
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yescomplemented
291C4×#121C2214yescomplemented
292C4×#121C2212yescomplemented
293C4×#120C2212yes—
294C4×#120C2212yes—
295#2290C2212yescomplemented
296#2290C2212yescomplemented
297#2290C2214yescomplemented
298#2285C2211yescharacteristic
299#2276C2212yescomplemented
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#557—28no—
308#556—28no—
309#555—28no—
310#554—28no—
311#554—28no—
312#554—28no—
313#553—216no—
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318#552—232no—
319#552—216no—
320#551—232no—
321#550—216no—
322#547—28no—
323#547—28no—
324#547—216no—
325#546—216no—
326#541—216no—
327#539—232no—
328#535—28no—
329#533D4116yescomplemented
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2314yes—
336C2×#127C2311yescharacteristic
337C2×#127C2311yescharacteristic
338#529—216no—
339#529—232no—
340#529—216no—
341#529—28no—
342C2×#126C2314yes—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125—216no—
350C2×#125C2311yescharacteristic
351C2×#125C2314yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368#525—216no—
369C2×#123C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417#520—216no—
418C4×#41—216no—
419C4×#41—28no—
420C4×#41—28no—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×D4—28no—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2314yes—
470C2×#117—216no—
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2314yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2314yes—
484C2×#117C2314yes—
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2312yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2314yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2314yes—
498C22×C42C2314yes—
499C22×C42C2312yes—
500C22×C42C2312yes—
501C22×C42C2311yescharacteristic
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#398C2312yes—
515#398C2312yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#397C2312yes—
524#397C2312yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2312yes—
533#396C2312yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2312yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2314yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#384C2311yescharacteristic
768#384C2311yescharacteristic
769#384C2311yescharacteristic
770#384C2314yes—
771#383C2314yes—
772#382C2311yescharacteristic
773#382C2311yescharacteristic
774#382C2314yes—
775#382C2311yescharacteristic
776#382C2311yescharacteristic
777#382C2314yes—
778#382C2314yes—
779#382C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2314yes—
799#380C2314yes—
800#379C2312yes—
801#379C2312yes—
802#379C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842#376C2311yescharacteristic
843#376C2311yescharacteristic
844#376C2314yes—
845C43C2311yescharacteristic
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—42no—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C23×C4—28no—
890C23×C4—44no—
891C23×C4—44no—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C4⋊Q8—28no—
913C4⋊Q8—42no—
914C4⋊Q8C2×D418yes—
915C4⋊Q8C2×D418yes—
916#127—24no—
917#127—216no—
918#127—42no—
919#127#4118yescomplemented
920#126—216no—
921#126—216no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—28no—
926#126—216no—
927#125—216no—
928#125—216no—
929#125—28no—
930#125—28no—
931#125—216no—
932#125—28no—
933#125—216no—
934#125—28no—
935#125—24no—
936#125—216no—
937#125C2×D4116yes—
938#124—28no—
939#124—216no—
940#124—24no—
941#124—24no—
942#124—24no—
943#124—42no—
944#124—42no—
945#123—28no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8C2×D4116yes—
969C22⋊Q8C2×D4116yes—
970#121—28no—
971#121—28no—
972#121—28no—
973#121—28no—
974#121—216no—
975#121—216no—
976#121—24no—
977#121—28no—
978#121—28no—
979#121—216no—
980#121—28no—
981#121—28no—
982#121—216no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—84no—
988#121—84no—
989#120—28no—
990#120—28no—
991#120—216no—
992#120—84no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—28no—
1002C4×Q8—44no—
1003C4×Q8—82no—
1004C4×Q8—82no—
1005C4×Q8C2×D4116yes—
1006C4×Q8C2×D4116yes—
1007C4×D4—216no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—24no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—216no—
1030C4×D4—216no—
1031C4×D4—24no—
1032C4×D4—28no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—84no—
1039C4×D4—84no—
1040C4×D4—84no—
1041#117—24no—
1042#117—24no—
1043#117—28no—
1044#117—28no—
1045#117—216no—
1046#117—28no—
1047#117—216no—
1048#117—216no—
1049#117—216no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—216no—
1054#117—24no—
1055#117—42no—
1056#117—82no—
1057#117C2×D4116yes—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—216no—
1065C2×C4⋊C4—28no—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C22⋊C4—28no—
1131C2×C22⋊C4—216no—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C42—216no—
1205C2×C42—28no—
1206C2×C42—28no—
1207C2×C42C2×D418yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288C24—24no—
1289C24—24no—
1290C24—42no—
1291C24—42no—
1292C24—42no—
1293C24—42no—
1294C24—42no—
1295C24C2512yes—
1296C24C2512yes—
1297C24C2512yes—
1298C24C2511yescharacteristic
1299C24C2512yes—
1300C24C2512yes—
1301#41—416no—
1302#41—416no—
1303#41—432no—
1304#41—432no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—22no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×Q8C22×D418yes—
1319C2×Q8C22×D418yes—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—28no—
1325C2×D4—28no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—28no—
1330C2×D4—28no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—28no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—22no—
1339C2×D4—28no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—416no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4C2×#4114yes—
1381C2×D4C2×#4114yes—
1382C2×D4C2×#4118yes—
1383C2×D4C2×#4118yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—28no—
1417C22×C4—28no—
1418C22×C4—41no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—41no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—432no—
1442C22×C4C22×D414yes—
1443C22×C4C22×D414yes—
1444C22×C4C22×D414yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2514yes—
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—42no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D4116yes—
1536C4⋊C4C22×D4116yes—
1537C4⋊C4C22×D418yes—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4C22×D4116yes—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—28no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—28no—
1619C42—24no—
1620C42—22no—
1621C42—28no—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—41no—
1629C42—41no—
1630C42—44no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42—41no—
1635C42—41no—
1636C42C22×D414yes—
1637C42C22×D414yes—
1638C42C22×D4116yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C42C2×#4114yes—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—21no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—48no—
1682C23—48no—
1683C23—84no—
1684C23—84no—
1685C23—84no—
1686C23—84no—
1687C23—84no—
1688C23C23×D412yes—
1689C23C22×#4114yes—
1690C23C22×#4114yes—
1691C23C2611yescharacteristic
1692Q8—216no—
1693Q8—48no—
1694Q8—44no—
1695Q8—44no—
1696Q8—44no—
1697D4—28no—
1698D4—28no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—416no—
1703D4—416no—
1704D4—48no—
1705D4—48no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—84no—
1710D4—88no—
1711D4—84no—
1712D4—88no—
1713D4—84no—
1714D4—88no—
1715D4—84no—
1716D4—84no—
1717D4—164no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—28no—
1735C2×C4—28no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—44no—
1794C2×C4—48no—
1795C2×C4—416no—
1796C2×C4—416no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—84no—
1807C2×C4—84no—
1808C2×C4—88no—
1809C2×C4—88no—
1810C2×C4—88no—
1811C2×C4C23×D412yes—
1812C2×C4C23×D412yes—
1813C2×C4C23×D412yes—
1814C2×C4C23×D418yes—
1815C2×C4C23×D418yes—
1816C2×C4C23×D412yes—
1817C2×C4C23×D412yes—
1818C2×C4C23×D412yes—
1819C2×C4C22×#4112yes—
1820C2×C4C22×#4112yes—
1821C2×C4C22×#4112yes—
1822C2×C4#58512yes—
1823C2×C4#58512yes—
1824C2×C4#58512yes—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—24no—
1833C22—24no—
1834C22—41no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—41no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—816no—
1868C22C24×D411yescharacteristic
1869C22C23×#4111yescharacteristic
1870C22C2×#58511yescharacteristic
1871C22C2×#58511yescharacteristic
1872C22C2×#58511yescharacteristic
1873C22H(7,𝔽2)11yescharacteristic
1874C222−1+611yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—28no—
1881C4—22no—
1882C4—28no—
1883C4—41no—
1884C4—41no—
1885C4—44no—
1886C4—42no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—42no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—41no—
1896C4—44no—
1897C4—41no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4D4×#4114yes—
1903C4#348714yes—
1904C2—44no—
1905C2—44no—
1906C2—42no—
1907C2—82no—
1908C2—82no—
1909C2—82no—
1910C2C2×D4×#4111yescharacteristic
1911C2C2×#348711yescharacteristic
1912C2#6285311yescharacteristic
1913C2#6293711yescharacteristic
1914C2#6293911yescharacteristic
1915C2#6299111yescharacteristic
1916C2#6299211yescharacteristic
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×#3515C2semidirect
2. C2×#3475C2semidirect
3. #59823C2semidirect
4. #59815C2semidirect
5. #59660C2semidirect
6. #59653C2semidirect
7. #59652C2semidirect
8. #59652C2semidirect
9. #59418C2semidirect
10. #59410C2semidirect
11. #59140C2semidirect
12. #59139C2semidirect
13. #59054C2semidirect
14. #59053C2semidirect
15. #45412C2semidirect
16. #45264C2semidirect
17. #45023C2semidirect
18. #44892C2semidirect
19. #43045C2semidirect
20. #43040C2semidirect
21. #39887C2semidirect
22. #39883C2semidirect
23. #39862C2semidirect
24. #38378C2semidirect
25. #36438C2semidirect
26. #36234C2semidirect
27. #35638C2semidirect
28. #35525C2semidirect
29. #35236C2semidirect
30. #35205C2semidirect
31. #34976C2semidirect
32. #34910C2semidirect
33. #34295C2semidirect
34. #34225C2semidirect
35. C4×#535C2semidirect
37. C2×#557C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
50. C2×#552C22semidirect
55. C2×#547C22semidirect
57. C2×#541C22semidirect
64. C2×#529C22semidirect
65. C22×#125C22semidirect
67. C2×#520C22semidirect
73. #2852C22semidirect
74. #2851C22semidirect
77. #2732C22semidirect
78. #2730C22semidirect
79. #2730C22semidirect
80. #2728C22semidirect
81. #2725C22semidirect
82. #2725C22semidirect
83. #2719C22semidirect
87. #2707C22semidirect
90. #2705C22semidirect
91. #2705C22semidirect
93. #2694C22semidirect
96. #2682C22semidirect
102. #2636C22semidirect
103. #2633C22semidirect
104. #2611C22semidirect
105. #2609C22semidirect
106. #2609C22semidirect
107. #2603C22semidirect
110. #2601C22semidirect
111. #2601C22semidirect
112. #2601C22semidirect
113. #2598C22semidirect
114. #2598C22semidirect
115. #2582C22semidirect
116. #2566C22semidirect
117. #2566C22semidirect
118. #2565C22semidirect
120. #2558C22semidirect
121. #2558C22semidirect
122. #2554C22semidirect
123. #2554C22semidirect
124. #2552C22semidirect
126. #2545C22semidirect
127. #2544C22semidirect
128. #2542C22semidirect
129. #2541C22semidirect
132. #2540C22semidirect
133. #2540C22semidirect
136. #2538C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
142. #2537C22semidirect
143. #2536C22semidirect
144. #2535C22semidirect
145. #2519C22semidirect
146. #2519C22semidirect
147. #2512C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2489C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
159. #2481C22semidirect
160. #2481C22semidirect
162. #2479C22semidirect
163. #2479C22semidirect
166. #2475C22semidirect
170. #2467C22semidirect
171. #2467C22semidirect
172. #2460C22semidirect
173. #2456C22semidirect
175. #2454C22semidirect
177. #2446C22semidirect
178. #2445C22semidirect
180. #2443C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
196. #2428C22semidirect
198. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
204. #2423C22semidirect
205. #2421C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
217. #2415C22semidirect
219. #2414C22semidirect
225. #2407C22semidirect
229. #2370C22semidirect
230. #2370C22semidirect
232. #2366C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
238. #2362C22semidirect
240. #2361C22semidirect
241. #2361C22semidirect
242. #2360C22semidirect
243. #2356C22semidirect
244. #2352C22semidirect
245. #2352C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
248. #2351C22semidirect
249. #2351C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
255. #2341C22semidirect
258. #2328C22semidirect
265. #2324C22semidirect
270. #2320C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
281. C4×#127C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
299. #2276C22semidirect
329. #533D4semidirect
919. #127#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34752
#598232
#598152
#596602
#596532
#596522
#594182
#594102
#591402
#591392
#590542
#590532
#454122
#452642
#450232
#448922
#430452
#430402
#398872
#398832
#398622
#383782
#364382
#362342
#356382
#355252
#352362
#352052
#349762
#349102
#342952
#342252
C4×#5352