Finite Group Databasebeta

← #7693779

Subgroups — #7693779

Order 512.

7093 conjugacy classes of subgroups.

The subgroup lattice has 1891 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#59844C214yesmaximal, complemented
4#59829C212yesmaximal, complemented
5#59653C211yesmaximal, characteristic, complemented
6#59550C212yesmaximal, complemented
7#59134C211yesmaximal, characteristic, complemented
8#59098C212yesmaximal, complemented
9#59078C211yesmaximal, characteristic, complemented
10#59019C212yesmaximal, complemented
11#45146C212yesmaximal, complemented
12#44955C212yesmaximal, complemented
13#44785C214yesmaximal, complemented
14#44593C214yesmaximal, complemented
15#39891C212yesmaximal, complemented
16#39887C212yesmaximal, complemented
17#39725C211yesmaximal, characteristic, complemented
18#39724C211yesmaximal, characteristic, complemented
19#39395C214yesmaximal, complemented
20#39357C212yesmaximal, complemented
21#36583C211yesmaximal, characteristic, complemented
22#36538C212yesmaximal, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36269C212yesmaximal, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36148C212yesmaximal, complemented
28#36122C211yesmaximal, characteristic, complemented
29#36041C212yesmaximal, complemented
30#35712C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34312C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3506—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#557C2211yescharacteristic, complemented
41C2×#557C2211yescharacteristic, complemented
42C2×#557C2212yescomplemented
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#556C2211yescharacteristic
47C2×#555C2212yes—
48C2×#553C2214yes—
49C2×#552C2214yescomplemented
50C2×#552C2212yescomplemented
51C2×#552C2212yescomplemented
52C2×#550C2211yescharacteristic
53C2×#550C2211yescharacteristic
54C2×#548C2212yes—
55C2×#547C2212yes—
56C2×#546C2211yescharacteristic
57C2×#541C2214yescomplemented
58C2×#538C2214yes—
59C2×#536C2212yes—
60C2×#535C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2212yescomplemented
64C2×#533C2212yescomplemented
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic, complemented
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#520C2212yes—
70C2×#519C2212yescomplemented
71C2×C4×#41C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73#2861C2214yescomplemented
74#2858C2212yes—
75#2858C2211yescharacteristic, complemented
76#2857C2211yescharacteristic
77#2856C2211yescharacteristic, complemented
78#2854C2212yescomplemented
79#2850C2212yescomplemented
80#2848C2212yes—
81#2725C2214yescomplemented
82#2719C2214yescomplemented
83#2718C2214yescomplemented
84#2716C2214yescomplemented
85#2711C2214yes—
86#2711C2214yescomplemented
87#2706C2214yescomplemented
88#2700C2214yescomplemented
89#2693C2214yescomplemented
90#2691C2214yes—
91#2690C2214yes—
92#2687C2214yescomplemented
93#2685C2214yes—
94#2685C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2678C2214yes—
98#2678C2214yes—
99#2676C2214yescomplemented
100#2674C2214yescomplemented
101#2672C2214yes—
102#2633C2214yes—
103#2632C2214yescomplemented
104#2621C2212yes—
105#2619C2212yes—
106#2611C2214yescomplemented
107#2610C2214yescomplemented
108#2599C2214yescomplemented
109#2598C2214yescomplemented
110#2582C2211yescharacteristic, complemented
111#2581C2212yescomplemented
112#2580C2212yescomplemented
113#2568C2211yescharacteristic, complemented
114#2568C2212yescomplemented
115#2566C2214yescomplemented
116#2559C2214yes—
117#2559C2214yescomplemented
118#2559C2214yescomplemented
119#2558C2214yescomplemented
120#2558C2214yescomplemented
121#2558C2214yescomplemented
122#2558C2214yescomplemented
123#2557C2214yescomplemented
124#2556C2212yes—
125#2556C2212yescomplemented
126#2553C2214yescomplemented
127#2551C2211yescharacteristic, complemented
128#2550C2212yescomplemented
129#2548C2212yes—
130#2548C2212yes—
131#2548C2211yescharacteristic, complemented
132#2548C2211yescharacteristic, complemented
133#2547C2211yescharacteristic
134#2547C2212yescomplemented
135#2546C2211yescharacteristic, complemented
136#2545C2212yes—
137#2545C2212yes—
138#2545C2212yescomplemented
139#2545C2214yescomplemented
140#2545C2212yescomplemented
141#2544C2212yes—
142#2544C2212yes—
143#2542C2211yescharacteristic
144#2540C2212yescomplemented
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2521C2214yescomplemented
148#2519C2214yescomplemented
149#2506C2212yescomplemented
150#2500C2212yescomplemented
151#2492C2211yescharacteristic
152#2492C2211yescharacteristic, complemented
153#2492C2212yescomplemented
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yescomplemented
157#2490C2212yes—
158#2490C2214yescomplemented
159#2490C2212yescomplemented
160#2490C2214yescomplemented
161#2490C2212yescomplemented
162#2489C2212yes—
163#2489C2212yescomplemented
164#2488C2214yescomplemented
165#2488C2214yescomplemented
166#2485C2212yes—
167#2481C2214yescomplemented
168#2480C2214yes—
169#2476C2214yes—
170#2476C2214yescomplemented
171#2473C2214yescomplemented
172#2473C2214yescomplemented
173#2472C2214yes—
174#2472C2214yes—
175#2472C2214yes—
176#2471C2214yescomplemented
177#2471C2214yescomplemented
178#2470C2214yescomplemented
179#2466C2214yes—
180#2466C2214yescomplemented
181#2464C2214yes—
182#2464C2214yes—
183#2464C2214yescomplemented
184#2460C2214yes—
185#2460C2214yes—
186#2460C2214yescomplemented
187#2458C2214yescomplemented
188#2458C2214yescomplemented
189#2457C2214yescomplemented
190#2454C2212yescomplemented
191#2452C2212yes—
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2450C2214yescomplemented
195#2448C2212yes—
196#2448C2212yescomplemented
197#2447C2212yes—
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2445C2212yes—
202#2441C2212yescomplemented
203#2439C2212yescomplemented
204#2436C2212yes—
205#2436C2212yescomplemented
206#2435C2212yes—
207#2432C2212yes—
208#2432C2212yes—
209#2432C2212yescomplemented
210#2432C2212yescomplemented
211#2431C2212yes—
212#2429C2211yescharacteristic
213#2429C2212yescomplemented
214#2429C2211yescharacteristic, complemented
215#2426C2212yes—
216#2421C2212yes—
217#2417C2212yescomplemented
218#2416C2212yes—
219#2416C2212yes—
220#2415C2212yes—
221#2414C2212yescomplemented
222#2411C2214yes—
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2398C2214yes—
226#2398C2214yescomplemented
227#2396C2212yes—
228#2396C2212yescomplemented
229#2373C2214yescomplemented
230#2367C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2365C2211yescharacteristic, complemented
239#2364C2212yes—
240#2363C2214yes—
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2360C2212yes—
248#2360C2211yescharacteristic
249#2360C2214yescomplemented
250#2359C2212yes—
251#2359C2214yescomplemented
252#2358C2212yes—
253#2356C2212yescomplemented
254#2355C2211yescharacteristic, complemented
255#2354C2211yescharacteristic
256#2352C2211yescharacteristic
257#2352C2214yescomplemented
258#2352C2212yescomplemented
259#2351C2212yescomplemented
260#2349C2211yescharacteristic
261#2347C2212yescomplemented
262#2342C2212yes—
263#2341C2212yes—
264#2341C2212yescomplemented
265#2341C2212yescomplemented
266Q8×C22⋊C4C2212yescomplemented
267#2339C2211yescharacteristic
268D4×C22⋊C4C2211yescharacteristic
269#2324C2214yes—
270#2324C2212yescomplemented
271#2323C2212yes—
272#2323C2214yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#126C2214yescomplemented
277C4×#124C2211yescharacteristic
278C4×#124C2214yes—
279C4×#124C2212yes—
280C4×#124C2212yescomplemented
281C4×#124C2214yescomplemented
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yescomplemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#120C2212yes—
290#2297C2212yescomplemented
291#2297C2212yescomplemented
292#2293C2212yes—
293#2293C2214yescomplemented
294#2280C2212yes—
295C42×Q8C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C4×#117C2212yescomplemented
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#559—216no—
309#559—216no—
310#557—28no—
311#557—28no—
312#557—216no—
313#556—28no—
314#556—216no—
315#556—28no—
316#556D4116yescomplemented
317#555—216no—
318#553—232no—
319#552—232no—
320#552—216no—
321#552—216no—
322#550—28no—
323#550—28no—
324#548—216no—
325#547—216no—
326#546—28no—
327#541—232no—
328#538—232no—
329#536—216no—
330#535—216no—
331#533—216no—
332#533—28no—
333#533—28no—
334#533—216no—
335#532—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2311yescharacteristic
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2312yes—
381#525—216no—
382#525—216no—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#120C2312yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426#520—216no—
427#519—216no—
428C4×#41—28no—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×D4—28no—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2314yes—
477C2×#117C2314yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2314yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C22⋊C4C2312yes—
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C42C2312yes—
495C22×C42C2311yescharacteristic
496C22×C42C2311yescharacteristic
497C22×C42C2312yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2312yes—
503#400C2312yes—
504#400C2314yes—
505#400C2314yes—
506#399C2314yes—
507#399C2312yes—
508#399C2314yes—
509#399C2314yes—
510#399C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2312yes—
534#396C2312yes—
535#396C2312yes—
536#396C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#395C2314yes—
543#395C2312yes—
544#395C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2312yes—
567#393C2314yes—
568#393C2314yes—
569#393C2312yes—
570#393C2314yes—
571#393C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#391C2314yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#384C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#383C2314yes—
757#382C2314yes—
758#382C2312yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2314yes—
762#381C2312yes—
763#381C2314yes—
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2311yescharacteristic
779#379C2314yes—
780#379C2312yes—
781#379C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841#376C2314yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C43C2314yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C25C2412yes—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—44no—
855C2×#41—42no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C22×Q8—28no—
861C22×Q8—28no—
862C22×Q8—44no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—42no—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2411yescharacteristic
890C23×C4—28no—
891C23×C4—44no—
892C23×C4—44no—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—24no—
919C4⋊Q8—24no—
920C4⋊Q8—24no—
921C4⋊Q8—28no—
922C4⋊Q8—42no—
923C4⋊Q8—44no—
924C4⋊Q8C2×D418yes—
925#127—28no—
926#127—24no—
927#127—28no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126C2×D4132yes—
933#125—28no—
934#125—216no—
935#125—28no—
936#125—28no—
937#125—28no—
938#125—216no—
939#125—216no—
940#125—216no—
941#125—216no—
942#124—28no—
943#124—28no—
944#124—28no—
945#124—216no—
946#124—216no—
947#124—216no—
948#124—24no—
949#124—28no—
950#124—44no—
951#124—44no—
952#124—44no—
953#124—44no—
954#124—48no—
955#124C2×D4116yes—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—48no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—24no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—44no—
979C22⋊Q8—42no—
980C22⋊Q8—42no—
981C22⋊Q8C2×D4116yes—
982#121—216no—
983#121—28no—
984#121—24no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—28no—
989#121—216no—
990#121—216no—
991#121—216no—
992#121—216no—
993#121—28no—
994#121—44no—
995#121—44no—
996#120—28no—
997#120—216no—
998#120—216no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—24no—
1003C4×Q8—216no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—216no—
1008C4×Q8—28no—
1009C4×Q8—24no—
1010C4×Q8—216no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—42no—
1016C4×Q8—42no—
1017C4×Q8—44no—
1018C4×Q8C2×D4116yes—
1019C4×Q8C2×D418yes—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—216no—
1033C4×D4—24no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—216no—
1037C4×D4—24no—
1038C4×D4—42no—
1039C4×D4—44no—
1040C4×D4—42no—
1041C4×D4—42no—
1042C4×D4C2×D418yes—
1043C4×D4#4118yescomplemented
1044#117—28no—
1045#117—24no—
1046#117—216no—
1047#117—28no—
1048#117—28no—
1049#117—216no—
1050#117—28no—
1051#117—216no—
1052#117—28no—
1053#117—216no—
1054#117—44no—
1055#117C2×D4116yes—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—216no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C22⋊C4—28no—
1126C2×C22⋊C4—28no—
1127C2×C22⋊C4—44no—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C42—28no—
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—44no—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2411yescharacteristic
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286C24—24no—
1287C24—24no—
1288C24—42no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—42no—
1293C24C2512yes—
1294C24C2514yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298#41—416no—
1299#41—432no—
1300#41—816no—
1301#41—816no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—28no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—28no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—44no—
1324C2×Q8—42no—
1325C2×Q8—42no—
1326C2×Q8—42no—
1327C2×Q8—432no—
1328C2×Q8C22×D414yes—
1329C2×Q8C22×D418yes—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—416no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4C22×D414yes—
1375C2×D4C2×#4114yes—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—28no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—42no—
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—44no—
1429C22×C4—44no—
1430C22×C4—816no—
1431C22×C4C22×D418yes—
1432C22×C4C2×#4114yes—
1433C22×C4C2×#4114yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2514yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—41no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4C22×D418yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D4116yes—
1525C4⋊C4C22×D418yes—
1526C4⋊C4C22×D414yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C2×#4114yes—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4C22×D418yes—
1589C22⋊C4C22×D4116yes—
1590C22⋊C4C22×D4116yes—
1591C22⋊C4C2×#4114yes—
1592C22⋊C4C2×#4114yes—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—28no—
1603C42—28no—
1604C42—28no—
1605C42—28no—
1606C42—24no—
1607C42—24no—
1608C42—28no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—24no—
1614C42—42no—
1615C42—42no—
1616C42—41no—
1617C42—42no—
1618C42—44no—
1619C42—41no—
1620C42—42no—
1621C42—42no—
1622C42—44no—
1623C42—44no—
1624C42—42no—
1625C42C22×D414yes—
1626C42C22×D4116yes—
1627C42C22×D418yes—
1628C42C2×#4114yes—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—24no—
1650C23—22no—
1651C23—22no—
1652C23—24no—
1653C23—24no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—24no—
1659C23—24no—
1660C23—22no—
1661C23—48no—
1662C23—48no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23C23×D414yes—
1669C23C22×#4112yes—
1670C23C22×#4112yes—
1671C23C2611yescharacteristic
1672Q8—216no—
1673Q8—28no—
1674Q8—48no—
1675Q8—416no—
1676Q8—48no—
1677Q8—44no—
1678Q8—44no—
1679Q8—44no—
1680Q8—84no—
1681D4—28no—
1682D4—44no—
1683D4—48no—
1684D4—416no—
1685D4—48no—
1686D4—44no—
1687D4—48no—
1688D4—48no—
1689D4—84no—
1690D4—88no—
1691D4—88no—
1692D4—84no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—24no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—28no—
1717C2×C4—28no—
1718C2×C4—216no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—44no—
1774C2×C4—416no—
1775C2×C4—48no—
1776C2×C4—416no—
1777C2×C4—48no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—84no—
1782C2×C4—82no—
1783C2×C4—84no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4C23×D414yes—
1790C2×C4C23×D418yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D414yes—
1793C2×C4C23×D414yes—
1794C2×C4C23×D412yes—
1795C2×C4C23×D412yes—
1796C2×C4C22×#4112yes—
1797C2×C4C22×#4112yes—
1798C2×C4C22×#4112yes—
1799C2×C4C22×#4112yes—
1800C2×C4C22×#4112yes—
1801C2×C4#58512yes—
1802C2×C4#58512yes—
1803C2×C4#58512yes—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—24no—
1808C22—24no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—24no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—44no—
1828C22—44no—
1829C22—42no—
1830C22—44no—
1831C22—42no—
1832C22—42no—
1833C22—44no—
1834C22—44no—
1835C22—42no—
1836C22—44no—
1837C22—42no—
1838C22—44no—
1839C22—42no—
1840C22—816no—
1841C22C24×D411yescharacteristic
1842C22C23×#4111yescharacteristic
1843C22C2×#58511yescharacteristic
1844C22C2×#58511yescharacteristic
1845C22C2×#58511yescharacteristic
1846C22C2×#58511yescharacteristic
1847C222−1+611yescharacteristic
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—24no—
1852C4—24no—
1853C4—24no—
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—28no—
1858C4—42no—
1859C4—42no—
1860C4—41no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4—42no—
1871C4—44no—
1872C4—42no—
1873C4—44no—
1874C4—42no—
1875C4—41no—
1876C4D4×#4114yes—
1877C4#350014yes—
1878C2—42no—
1879C2—44no—
1880C2—42no—
1881C2—84no—
1882C2—82no—
1883C2C2×D4×#4111yescharacteristic
1884C2C2×#350011yescharacteristic
1885C2#6281511yescharacteristic
1886C2#6296711yescharacteristic
1887C2#6299511yescharacteristic
1888C2#6300211yescharacteristic
1889C2#6303111yescharacteristic
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×#3509C2semidirect
2. C2×#3506C2semidirect
3. #59844C2semidirect
4. #59829C2semidirect
5. #59653C2semidirect
6. #59550C2semidirect
7. #59134C2semidirect
8. #59098C2semidirect
9. #59078C2semidirect
10. #59019C2semidirect
11. #45146C2semidirect
12. #44955C2semidirect
13. #44785C2semidirect
14. #44593C2semidirect
15. #39891C2semidirect
16. #39887C2semidirect
17. #39725C2semidirect
18. #39724C2semidirect
19. #39395C2semidirect
20. #39357C2semidirect
21. #36583C2semidirect
22. #36538C2semidirect
23. #36419C2semidirect
24. #36410C2semidirect
25. #36269C2semidirect
26. #36161C2semidirect
27. #36148C2semidirect
28. #36122C2semidirect
29. #36041C2semidirect
30. #35712C2semidirect
31. #34929C2semidirect
32. #34813C2semidirect
33. #34312C2semidirect
34. C4×#556C2semidirect
35. C4×#546C2semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
42. C2×#557C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
57. C2×#541C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
66. C22×C4⋊Q8C22semidirect
70. C2×#519C22semidirect
73. #2861C22semidirect
75. #2858C22semidirect
77. #2856C22semidirect
78. #2854C22semidirect
79. #2850C22semidirect
81. #2725C22semidirect
82. #2719C22semidirect
83. #2718C22semidirect
84. #2716C22semidirect
86. #2711C22semidirect
87. #2706C22semidirect
88. #2700C22semidirect
89. #2693C22semidirect
92. #2687C22semidirect
99. #2676C22semidirect
100. #2674C22semidirect
103. #2632C22semidirect
106. #2611C22semidirect
107. #2610C22semidirect
108. #2599C22semidirect
109. #2598C22semidirect
110. #2582C22semidirect
111. #2581C22semidirect
112. #2580C22semidirect
113. #2568C22semidirect
114. #2568C22semidirect
115. #2566C22semidirect
117. #2559C22semidirect
118. #2559C22semidirect
119. #2558C22semidirect
120. #2558C22semidirect
121. #2558C22semidirect
122. #2558C22semidirect
123. #2557C22semidirect
125. #2556C22semidirect
126. #2553C22semidirect
127. #2551C22semidirect
128. #2550C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
134. #2547C22semidirect
135. #2546C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
144. #2540C22semidirect
147. #2521C22semidirect
148. #2519C22semidirect
149. #2506C22semidirect
150. #2500C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
156. #2491C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
161. #2490C22semidirect
163. #2489C22semidirect
164. #2488C22semidirect
165. #2488C22semidirect
167. #2481C22semidirect
170. #2476C22semidirect
171. #2473C22semidirect
172. #2473C22semidirect
176. #2471C22semidirect
177. #2471C22semidirect
178. #2470C22semidirect
180. #2466C22semidirect
183. #2464C22semidirect
186. #2460C22semidirect
187. #2458C22semidirect
188. #2458C22semidirect
189. #2457C22semidirect
190. #2454C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2450C22semidirect
196. #2448C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
202. #2441C22semidirect
203. #2439C22semidirect
205. #2436C22semidirect
209. #2432C22semidirect
210. #2432C22semidirect
213. #2429C22semidirect
214. #2429C22semidirect
217. #2417C22semidirect
221. #2414C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
226. #2398C22semidirect
228. #2396C22semidirect
229. #2373C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2365C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
249. #2360C22semidirect
251. #2359C22semidirect
253. #2356C22semidirect
254. #2355C22semidirect
257. #2352C22semidirect
258. #2352C22semidirect
259. #2351C22semidirect
261. #2347C22semidirect
264. #2341C22semidirect
265. #2341C22semidirect
266. Q8×C22⋊C4C22semidirect
270. #2324C22semidirect
272. #2323C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#126C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
293. #2293C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
299. C4×#117C22semidirect
316. #556D4semidirect
1043. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#35062
#598442
#598292
#596532
#595502
#591342
#590982
#590782
#590192
#451462
#449552
#447852
#445932
#398912
#398872
#397252
#397242
#393952
#393572
#365832
#365382
#364192
#364102
#362692
#361612
#361482
#361222
#360412
#357122
#349292
#348132
#343122
C4×#5562
C4×#5462