Finite Group Databasebeta

← #7626984

Subgroups — #7626984

Order 512.

7488 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic
2#34527C214yesmaximal, complemented
3#34513C214yesmaximal, complemented
4#34495C212yesmaximal, complemented
5#34472C212yesmaximal, complemented
6#34470C214yesmaximal, complemented
7#34464C212yesmaximal, complemented
8#34454C214yesmaximal, complemented
9#34436C212yesmaximal, complemented
10#34433C214yesmaximal, complemented
11#34428C212yesmaximal, complemented
12#34427C212yesmaximal, complemented
13#34410C212yesmaximal, complemented
14#34380C211yesmaximal, characteristic, complemented
15#34317C212yesmaximal, complemented
16#34309C214yesmaximal, complemented
17#34308C212yesmaximal, complemented
18#34298C212yesmaximal, complemented
19#34292C212yesmaximal, complemented
20#34285C212yesmaximal, complemented
21#34274C212yesmaximal, complemented
22#34267C212yesmaximal, complemented
23#34205C211yesmaximal, characteristic, complemented
24#34204C211yesmaximal, characteristic, complemented
25#34202C211yesmaximal, characteristic, complemented
26C4×#548C212yesmaximal, complemented
27C2×#2362C211yesmaximal, characteristic, complemented
28C4×#539C212yesmaximal, complemented
29#34082C211yesmaximal, characteristic, complemented
30#3536C4132yescomplemented
31C2×#562C2214yes—
32C2×#554C2212yes—
33C2×#548C2212yes—
34C2×#547C2212yes—
35C2×#546C2214yes—
36C2×#546C2212yes—
37C2×#543C2212yes—
38C2×#542C2212yes—
39C2×#539C2212yes—
40C2×#538C2212yes—
41C2×#537C2212yes—
42C2×#537C2212yes—
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C2×#520C2214yescomplemented
47C2×#520C2211yescharacteristic, complemented
48C2×#518C2212yes—
49C2×#518C2211yescharacteristic
50C2×C4×#41C2212yescomplemented
51C22×C4×Q8C2211yescharacteristic, complemented
52C22×#117C2211yescharacteristic
53#2382C2214yescomplemented
54#2379C2214yescomplemented
55#2379C2214yescomplemented
56#2378C2214yes—
57#2378C2214yes—
58#2378C2214yescomplemented
59#2378C2214yescomplemented
60#2377C2214yescomplemented
61#2377C2214yescomplemented
62#2376C2214yescomplemented
63#2375C2214yes—
64#2374C2214yescomplemented
65#2374C2214yescomplemented
66#2370C2214yescomplemented
67#2369C2212yescomplemented
68#2368C2214yescomplemented
69#2368C2214yescomplemented
70#2367C2214yescomplemented
71#2367C2214yescomplemented
72#2367C2212yescomplemented
73#2367C2212yescomplemented
74#2365C2212yescomplemented
75#2364C2214yes—
76#2364C2214yescomplemented
77#2364C2214yescomplemented
78#2364C2214yescomplemented
79#2364C2214yescomplemented
80#2363C2212yes—
81#2363C2212yes—
82#2363C2214yescomplemented
83#2363C2214yescomplemented
84#2363C2212yescomplemented
85#2362C2214yes—
86#2362C2212yes—
87#2362C2214yes—
88#2362C2212yes—
89#2362C2212yescomplemented
90#2362C2214yescomplemented
91#2362C2212yescomplemented
92#2362C2214yescomplemented
93#2362C2212yescomplemented
94#2362C2214yescomplemented
95#2362C2214yescomplemented
96#2361C2212yes—
97#2361C2212yes—
98#2361C2212yes—
99#2361C2212yes—
100#2361C2212yescomplemented
101#2361C2214yescomplemented
102#2361C2214yescomplemented
103#2361C2214yescomplemented
104#2361C2214yescomplemented
105#2360C2214yescomplemented
106#2360C2212yescomplemented
107#2360C2212yescomplemented
108#2360C2214yescomplemented
109#2360C2212yescomplemented
110#2360C2214yescomplemented
111#2359C2214yescomplemented
112#2359C2214yescomplemented
113#2359C2214yescomplemented
114#2359C2214yescomplemented
115#2359C2214yescomplemented
116#2359C2214yescomplemented
117#2358C2214yes—
118#2358C2214yes—
119#2357C2214yes—
120#2357C2212yescomplemented
121#2355C2212yescomplemented
122#2354C2212yes—
123#2352C2214yes—
124#2352C2212yes—
125#2352C2214yescomplemented
126#2352C2212yescomplemented
127#2351C2212yescomplemented
128#2349C2214yescomplemented
129D4×C4⋊C4C2212yescomplemented
130D4×C4⋊C4C2212yescomplemented
131#2345C2212yescomplemented
132#2344C2212yes—
133#2344C2212yescomplemented
134#2344C2212yescomplemented
135#2342C2214yes—
136#2342C2214yes—
137#2342C2214yes—
138#2342C2214yes—
139#2342C2214yes—
140#2341C2212yescomplemented
141Q8×C22⋊C4C2212yescomplemented
142#2339C2214yescomplemented
143#2339C2214yescomplemented
144#2339C2212yescomplemented
145D4×C22⋊C4C2214yes—
146D4×C22⋊C4C2212yes—
147#2337C2214yescomplemented
148#2337C2214yescomplemented
149#2336C2214yescomplemented
150#2335C2212yescomplemented
151#2335C2212yescomplemented
152#2335C2214yescomplemented
153#2335C2214yescomplemented
154#2335C2214yescomplemented
155#2334C2214yescomplemented
156#2334C2214yescomplemented
157#2334C2214yescomplemented
158#2333C2212yes—
159#2333C2214yescomplemented
160#2333C2214yescomplemented
161#2332C2214yes—
162#2332C2212yes—
163#2332C2214yescomplemented
164#2332C2214yescomplemented
165#2332C2214yescomplemented
166#2331C2212yescomplemented
167#2329C2211yescharacteristic, complemented
168#2329C2211yescharacteristic, complemented
169#2329C2212yescomplemented
170#2329C2212yescomplemented
171#2329C2214yescomplemented
172#2329C2214yescomplemented
173#2329C2214yescomplemented
174#2326C2212yescomplemented
175#2325C2212yes—
176#2325C2212yes—
177#2325C2211yescharacteristic, complemented
178#2325C2211yescharacteristic, complemented
179#2325C2214yescomplemented
180#2325C2214yescomplemented
181#2324C2212yes—
182#2324C2212yes—
183#2324C2212yes—
184#2324C2214yescomplemented
185#2324C2212yescomplemented
186#2324C2214yescomplemented
187#2323C2214yes—
188#2323C2212yes—
189#2323C2212yes—
190#2323C2212yes—
191#2323C2214yescomplemented
192#2323C2212yescomplemented
193#2323C2214yescomplemented
194#2322C2214yescomplemented
195#2322C2214yescomplemented
196#2322C2214yescomplemented
197#2321C2212yes—
198#2321C2214yes—
199#2321C2212yes—
200#2321C2214yes—
201#2320C2212yescomplemented
202#2318C2214yes—
203#2318C2214yescomplemented
204#2317C2211yescharacteristic, complemented
205#2316C2211yescharacteristic
206#2316C2212yescomplemented
207#2313C2212yescomplemented
208#2312C2214yes—
209#2311C2211yescharacteristic, complemented
210#2311C2212yescomplemented
211#2309C2211yescharacteristic
212#2308C2212yes—
213C4×C4⋊Q8C2212yescomplemented
214C4×#125C2214yescomplemented
215C4×#126C2214yescomplemented
216C4×#124C2214yescomplemented
217C4×#124C2212yescomplemented
218C4×#124C2214yescomplemented
219C4×C22⋊Q8C2212yescomplemented
220C4×C22⋊Q8C2214yescomplemented
221C4×C22⋊Q8C2212yescomplemented
222C4×C22⋊Q8C2214yescomplemented
223C4×#123C2214yescomplemented
224C4×#123C2214yescomplemented
225C4×#121C2212yes—
226C4×#121C2212yes—
227C4×#121C2212yes—
228C4×#121C2212yes—
229C4×#121C2212yescomplemented
230C4×#121C2214yescomplemented
231C4×#121C2214yescomplemented
232C4×#121C2212yescomplemented
233#2298C2212yescomplemented
234#2297C2212yescomplemented
235#2297C2214yescomplemented
236C2×#391C2211yescharacteristic, complemented
237#2293C2214yes—
238#2293C2212yes—
239#2293C2212yescomplemented
240C2×#389C2211yescharacteristic, complemented
241C2×#389C2212yescomplemented
242#2290C2212yes—
243#2290C2212yescomplemented
244C2×#388C2212yes—
245C2×#388C2214yes—
246C2×#388C2212yes—
247C2×#387C2212yescomplemented
248#2280C2211yescharacteristic
249C2×#380C2211yescharacteristic
250#2275C2212yescomplemented
251#2274C2211yescharacteristic
252#2274C2212yescomplemented
253#2274C2211yescharacteristic, complemented
254C42×Q8C2212yescomplemented
255C42×D4C2212yescomplemented
256C42×D4C2214yescomplemented
257C2×C4×C4⋊C4C2212yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C2×C4×C22⋊C4C2211yescharacteristic
260C22×#41C2312yes—
261C22×#41C2311yescharacteristic
262C22×#41C2314yes—
263C23×Q8C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267#562C2×C4164yescomplemented
268#554C2×C4132yescomplemented
269#548C2×C4132yescomplemented
270#547C2×C4132yescomplemented
271#546C2×C4164yescomplemented
272#546C2×C4132yescomplemented
273#543C2×C4132yescomplemented
274#542C2×C4132yescomplemented
275#539C2×C4132yescomplemented
276#538C2×C4132yescomplemented
277#537C2×C4132yescomplemented
278#537C2×C4132yescomplemented
279C2×C4⋊Q8C2312yes—
280C2×#126C2314yes—
281C2×#125C2314yes—
282C2×#124C2312yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285#525C2×C4116yescomplemented
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×C22⋊Q8C2×C4116yescomplemented
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×#121C2×C4116yescomplemented
306C2×#121C2311yescharacteristic
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2311yescharacteristic
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#120C2312yes—
319C2×#120C2314yes—
320#520—416no—
321#520—44no—
322#518—48no—
323#518—44no—
324C4×#41—48no—
325C2×C4×Q8—44no—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2314yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2314yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2314yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×#117—44no—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2314yes—
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407#391C2314yes—
408#391C2312yes—
409#391C2312yes—
410#391C2312yes—
411#391C2312yes—
412#391C2314yes—
413#391C2312yes—
414#391C2312yes—
415#391C2314yes—
416#391C2314yes—
417#391C2312yes—
418#391C2314yes—
419#391C2314yes—
420#391C2314yes—
421#391C2314yes—
422#391C2314yes—
423#390C2312yes—
424#390C2312yes—
425#390C2312yes—
426#390C2312yes—
427#390C2312yes—
428#390C2312yes—
429#390C2312yes—
430#390C2314yes—
431#390C2312yes—
432#390C2312yes—
433#390C2314yes—
434#390C2314yes—
435#390C2312yes—
436#390C2314yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2312yes—
441#389C2312yes—
442#389C2314yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2312yes—
447#389C2312yes—
448#389C2312yes—
449#389C2314yes—
450#389C2314yes—
451#389C2314yes—
452#389C2314yes—
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#389C2314yes—
457#389C2314yes—
458#389C2314yes—
459#389C2314yes—
460#389C2314yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2312yes—
467#389C2314yes—
468#389C2312yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2312yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2312yes—
483#388C2312yes—
484#388C2314yes—
485#388C2314yes—
486#388C2312yes—
487#388C2312yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2312yes—
492#388C2312yes—
493#388C2312yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2312yes—
511#388C2314yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2312yes—
516#388C2312yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#387C2312yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2312yes—
551#387C2312yes—
552#387C2314yes—
553#387C2312yes—
554#387C2312yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2312yes—
575#386C2314yes—
576#386C2312yes—
577#386C2314yes—
578#386C2312yes—
579#386C2312yes—
580#386C2312yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2312yes—
588#386C2312yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2312yes—
596#385C2314yes—
597#385C2314yes—
598#385C2312yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2312yes—
612#385C2314yes—
613#385C2312yes—
614#385C2314yes—
615#384C2312yes—
616#383C2314yes—
617#382C2314yes—
618#382C2312yes—
619#382C2314yes—
620#382C2314yes—
621#381C2314yes—
622#381C2314yes—
623#381C2314yes—
624#381C2314yes—
625#381C2314yes—
626#381C2312yes—
627#380C2314yes—
628#380C2312yes—
629#380C2314yes—
630#380C2312yes—
631#380C2314yes—
632#380C2311yescharacteristic
633#380C2312yes—
634#380C2314yes—
635#380C2311yescharacteristic
636#380C2314yes—
637#380C2312yes—
638#380C2312yes—
639#380C2314yes—
640#380C2311yescharacteristic
641#380C2311yescharacteristic
642#380C2314yes—
643#380C2312yes—
644#379C2314yes—
645#379C2314yes—
646#379C2312yes—
647C4×C4⋊C4C2312yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2314yes—
650C4×C4⋊C4C2312yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2314yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2314yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723C2×#95C2314yes—
724C2×#95C2312yes—
725C2×#95C2311yescharacteristic
726C2×#95C2311yescharacteristic
727C2×#95C2314yes—
728C2×#95C2314yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C43C2314yes—
734C43C2312yes—
735C25C2411yescharacteristic
736C25C2412yes—
737C2×#41—42no—
738C2×#41—42no—
739C2×#41—48no—
740C2×#41—48no—
741C2×#41—44no—
742C2×#41—44no—
743C2×#41C22×C418yes—
744C2×#41C22×C4132yes—
745C2×#41C22×C4116yes—
746C22×Q8—42no—
747C22×Q8—42no—
748C22×Q8C22×C418yes—
749C22×Q8C2412yes—
750C22×Q8C2411yescharacteristic
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×D4—42no—
754C22×D4—42no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4C22×C418yes—
758C22×D4C22×C4116yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2414yes—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4C22×C418yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2414yes—
781C23×C4C2411yescharacteristic
782C23×C4C2414yes—
783C23×C4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C4⋊Q8C22×C4116yes—
801#126C22×C4132yes—
802#125C22×C4132yes—
803#124C22×C4132yes—
804#124C22×C4116yes—
805#124C22×C4132yes—
806#123C22×C4116yes—
807#123C22×C4132yes—
808#123C22×C4132yes—
809#123C22×C4132yes—
810#123C22×C4132yes—
811C22⋊Q8C22×C4116yes—
812C22⋊Q8C22×C4116yes—
813C22⋊Q8C22×C4116yes—
814C22⋊Q8C22×C4116yes—
815C22⋊Q8C22×C418yes—
816C22⋊Q8C22×C418yes—
817C22⋊Q8C22×C4132yes—
818C22⋊Q8C22×C4132yes—
819C22⋊Q8C22×C4116yes—
820C22⋊Q8C22×C4132yes—
821C22⋊Q8C22×C4132yes—
822C22⋊Q8C22×C4132yes—
823C22⋊Q8C22×C4132yes—
824#121C22×C4116yes—
825#121C22×C4116yes—
826#121C22×C4116yes—
827#121C22×C4116yes—
828#121C22×C418yes—
829#121C22×C418yes—
830#121C22×C4132yes—
831#121C22×C4116yes—
832#121C22×C4132yes—
833#121C22×C4132yes—
834#121C22×C4132yes—
835#121C22×C4132yes—
836#120C22×C4116yes—
837#120C22×C4132yes—
838C4×Q8—28no—
839C4×Q8—44no—
840C4×Q8—48no—
841C4×Q8—48no—
842C4×Q8—48no—
843C4×Q8—44no—
844C4×Q8—44no—
845C4×Q8—44no—
846C4×Q8C22×C4116yes—
847C4×D4—216no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—48no—
851C4×D4—44no—
852C4×D4—48no—
853C4×D4—48no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4C22×C4116yes—
869C4×D4C22×C4116yes—
870C4×D4C22×C4132yes—
871C4×D4C22×C4132yes—
872C4×D4C22×C4116yes—
873#117—24no—
874#117—24no—
875#117—28no—
876#117—44no—
877#117—42no—
878#117—42no—
879#117—44no—
880#117—44no—
881#117—48no—
882#117—48no—
883#117—48no—
884#117—48no—
885#117—48no—
886#117—42no—
887#117—42no—
888#117C22×C418yes—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—24no—
891C2×C4⋊C4—42no—
892C2×C4⋊C4—42no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—48no—
895C2×C4⋊C4—48no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4C22×C418yes—
899C2×C4⋊C4C22×C4116yes—
900C2×C4⋊C4C22×C418yes—
901C2×C4⋊C4C22×C4116yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C22⋊C4—24no—
952C2×C22⋊C4—44no—
953C2×C22⋊C4—48no—
954C2×C22⋊C4—48no—
955C2×C22⋊C4—44no—
956C2×C22⋊C4—42no—
957C2×C22⋊C4C22×C4116yes—
958C2×C22⋊C4C22×C4116yes—
959C2×C22⋊C4C22×C4132yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—44no—
1012C2×C42—42no—
1013C2×C42—44no—
1014C2×C42—48no—
1015C2×C42—44no—
1016C2×C42—42no—
1017C2×C42—44no—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103C24—22no—
1104C24—22no—
1105C24—41no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24—42no—
1110C24—42no—
1111C24—42no—
1112C24—42no—
1113C24—42no—
1114C24—42no—
1115C24C23×C414yes—
1116C24C23×C418yes—
1117C24C2511yescharacteristic
1118C24C2511yescharacteristic
1119C24C2514yes—
1120C24C2512yes—
1121C24C2511yescharacteristic
1122#41—416no—
1123#41—464no—
1124#41—432no—
1125C2×Q8—24no—
1126C2×Q8—24no—
1127C2×Q8—42no—
1128C2×Q8—41no—
1129C2×Q8—44no—
1130C2×Q8—42no—
1131C2×Q8—44no—
1132C2×Q8—41no—
1133C2×Q8—416no—
1134C2×Q8C23×C418yes—
1135C2×Q8C23×C414yes—
1136C2×Q8C23×C418yes—
1137C2×Q8C23×C4116yes—
1138C2×D4—28no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—416no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—41no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—432no—
1160C2×D4C23×C418yes—
1161C2×D4C23×C4116yes—
1162C2×D4C23×C418yes—
1163C2×D4C23×C418yes—
1164C2×D4C23×C418yes—
1165C2×D4C23×C4116yes—
1166C2×D4C23×C4116yes—
1167C2×D4C23×C414yes—
1168C2×D4C23×C418yes—
1169C2×D4C23×C4116yes—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—24no—
1189C22×C4—416no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—41no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4C23×C418yes—
1242C22×C4C23×C414yes—
1243C22×C4C23×C418yes—
1244C22×C4C23×C414yes—
1245C22×C4C23×C414yes—
1246C22×C4C23×C414yes—
1247C22×C4C23×C418yes—
1248C22×C4C23×C418yes—
1249C22×C4C23×C4116yes—
1250C22×C4C23×C4116yes—
1251C22×C4C23×C414yes—
1252C22×C4C23×C4116yes—
1253C22×C4C23×C414yes—
1254C22×C4H(5,𝔽2)14yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4C23×C418yes—
1314C4⋊C4C23×C418yes—
1315C4⋊C4C23×C418yes—
1316C4⋊C4C23×C4116yes—
1317C4⋊C4C23×C4116yes—
1318C4⋊C4C23×C4116yes—
1319C4⋊C4C23×C418yes—
1320C4⋊C4C23×C414yes—
1321C4⋊C4C23×C414yes—
1322C4⋊C4C23×C4116yes—
1323C4⋊C4C23×C418yes—
1324C4⋊C4C23×C418yes—
1325C4⋊C4C23×C4116yes—
1326C4⋊C4C23×C4116yes—
1327C4⋊C4H(5,𝔽2)14yes—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4C23×C4116yes—
1366C22⋊C4C23×C418yes—
1367C22⋊C4C23×C4116yes—
1368C22⋊C4C23×C4116yes—
1369C22⋊C4C23×C4116yes—
1370C22⋊C4C23×C4116yes—
1371C22⋊C4C23×C4116yes—
1372C22⋊C4C23×C418yes—
1373C22⋊C4C23×C418yes—
1374C22⋊C4C23×C4116yes—
1375C22⋊C4C23×C4116yes—
1376C22⋊C4C23×C418yes—
1377C22⋊C4C23×C4116yes—
1378C22⋊C4C23×C418yes—
1379C42—28no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—28no—
1384C42—24no—
1385C42—28no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—44no—
1408C42—42no—
1409C42—44no—
1410C42C23×C418yes—
1411C42C23×C4116yes—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—21no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—21no—
1432C23—22no—
1433C23—24no—
1434C23—21no—
1435C23—24no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—28no—
1441C23—44no—
1442C23—44no—
1443C23—48no—
1444C23—48no—
1445C23—48no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23C24×C412yes—
1455C23C24×C412yes—
1456C23C24×C418yes—
1457C23C24×C414yes—
1458C23C24×C412yes—
1459C23C2×H(5,𝔽2)12yes—
1460C23#58512yes—
1461C23C2611yescharacteristic
1462Q8—216no—
1463Q8—48no—
1464Q8—44no—
1465Q8—416no—
1466D4—232no—
1467D4—216no—
1468D4—216no—
1469D4—48no—
1470D4—416no—
1471D4—48no—
1472D4—48no—
1473D4—44no—
1474D4—416no—
1475D4—416no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—216no—
1499C2×C4—28no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—216no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—416no—
1545C2×C4—416no—
1546C2×C4—416no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—44no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—82no—
1555C2×C4—82no—
1556C2×C4—84no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4—162no—
1560C2×C4—164no—
1561C2×C4—162no—
1562C2×C4C24×C414yes—
1563C2×C4C24×C414yes—
1564C2×C4C24×C418yes—
1565C2×C4C24×C418yes—
1566C2×C4C24×C412yes—
1567C2×C4C24×C414yes—
1568C2×C4C24×C418yes—
1569C2×C4C24×C412yes—
1570C2×C4C24×C412yes—
1571C2×C4C24×C412yes—
1572C2×C4C2×H(5,𝔽2)14yes—
1573C2×C4C2×H(5,𝔽2)14yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4#58512yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—24no—
1585C22—24no—
1586C22—22no—
1587C22—28no—
1588C22—28no—
1589C22—22no—
1590C22—22no—
1591C22—24no—
1592C22—22no—
1593C22—28no—
1594C22—42no—
1595C22—44no—
1596C22—41no—
1597C22—41no—
1598C22—42no—
1599C22—44no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—44no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—44no—
1610C22—88no—
1611C22—168no—
1612C22C4×H(5,𝔽2)14yes—
1613C22C25×C411yescharacteristic
1614C22C22×H(5,𝔽2)11yescharacteristic
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22C2×#58511yescharacteristic
1618C222−1+611yescharacteristic
1619C222−1+611yescharacteristic
1620C4—24no—
1621C4—24no—
1622C4—22no—
1623C4—28no—
1624C4—22no—
1625C4—24no—
1626C4—22no—
1627C4—28no—
1628C4—24no—
1629C4—28no—
1630C4—24no—
1631C4—42no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4C4×H(5,𝔽2)14yes—
1644C2—24no—
1645C2—44no—
1646C2—42no—
1647C2—42no—
1648C2—48no—
1649C2C2×C4×H(5,𝔽2)11yescharacteristic
1650C2C2×C4×H(5,𝔽2)11yescharacteristic
1651C2#6265311yescharacteristic
1652C2#6289511yescharacteristic
1653C2#6289811yescharacteristic
1654C2#6293111yescharacteristic
1655C2#6293411yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3536C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #34527C2semidirect
3. #34513C2semidirect
4. #34495C2semidirect
5. #34472C2semidirect
6. #34470C2semidirect
7. #34464C2semidirect
8. #34454C2semidirect
9. #34436C2semidirect
10. #34433C2semidirect
11. #34428C2semidirect
12. #34427C2semidirect
13. #34410C2semidirect
14. #34380C2semidirect
15. #34317C2semidirect
16. #34309C2semidirect
17. #34308C2semidirect
18. #34298C2semidirect
19. #34292C2semidirect
20. #34285C2semidirect
21. #34274C2semidirect
22. #34267C2semidirect
23. #34205C2semidirect
24. #34204C2semidirect
25. #34202C2semidirect
26. C4×#548C2semidirect
27. C2×#2362C2semidirect
28. C4×#539C2semidirect
29. #34082C2semidirect
30. #3536C4semidirect
46. C2×#520C22semidirect
47. C2×#520C22semidirect
50. C2×C4×#41C22semidirect
51. C22×C4×Q8C22semidirect
53. #2382C22semidirect
54. #2379C22semidirect
55. #2379C22semidirect
58. #2378C22semidirect
59. #2378C22semidirect
60. #2377C22semidirect
61. #2377C22semidirect
62. #2376C22semidirect
64. #2374C22semidirect
65. #2374C22semidirect
66. #2370C22semidirect
67. #2369C22semidirect
68. #2368C22semidirect
69. #2368C22semidirect
70. #2367C22semidirect
71. #2367C22semidirect
72. #2367C22semidirect
73. #2367C22semidirect
74. #2365C22semidirect
76. #2364C22semidirect
77. #2364C22semidirect
78. #2364C22semidirect
79. #2364C22semidirect
82. #2363C22semidirect
83. #2363C22semidirect
84. #2363C22semidirect
89. #2362C22semidirect
90. #2362C22semidirect
91. #2362C22semidirect
92. #2362C22semidirect
93. #2362C22semidirect
94. #2362C22semidirect
95. #2362C22semidirect
100. #2361C22semidirect
101. #2361C22semidirect
102. #2361C22semidirect
103. #2361C22semidirect
104. #2361C22semidirect
105. #2360C22semidirect
106. #2360C22semidirect
107. #2360C22semidirect
108. #2360C22semidirect
109. #2360C22semidirect
110. #2360C22semidirect
111. #2359C22semidirect
112. #2359C22semidirect
113. #2359C22semidirect
114. #2359C22semidirect
115. #2359C22semidirect
116. #2359C22semidirect
120. #2357C22semidirect
121. #2355C22semidirect
125. #2352C22semidirect
126. #2352C22semidirect
127. #2351C22semidirect
128. #2349C22semidirect
129. D4×C4⋊C4C22semidirect
130. D4×C4⋊C4C22semidirect
131. #2345C22semidirect
133. #2344C22semidirect
134. #2344C22semidirect
140. #2341C22semidirect
141. Q8×C22⋊C4C22semidirect
142. #2339C22semidirect
143. #2339C22semidirect
144. #2339C22semidirect
147. #2337C22semidirect
148. #2337C22semidirect
149. #2336C22semidirect
150. #2335C22semidirect
151. #2335C22semidirect
152. #2335C22semidirect
153. #2335C22semidirect
154. #2335C22semidirect
155. #2334C22semidirect
156. #2334C22semidirect
157. #2334C22semidirect
159. #2333C22semidirect
160. #2333C22semidirect
163. #2332C22semidirect
164. #2332C22semidirect
165. #2332C22semidirect
166. #2331C22semidirect
167. #2329C22semidirect
168. #2329C22semidirect
169. #2329C22semidirect
170. #2329C22semidirect
171. #2329C22semidirect
172. #2329C22semidirect
173. #2329C22semidirect
174. #2326C22semidirect
177. #2325C22semidirect
178. #2325C22semidirect
179. #2325C22semidirect
180. #2325C22semidirect
184. #2324C22semidirect
185. #2324C22semidirect
186. #2324C22semidirect
191. #2323C22semidirect
192. #2323C22semidirect
193. #2323C22semidirect
194. #2322C22semidirect
195. #2322C22semidirect
196. #2322C22semidirect
201. #2320C22semidirect
203. #2318C22semidirect
204. #2317C22semidirect
206. #2316C22semidirect
207. #2313C22semidirect
209. #2311C22semidirect
210. #2311C22semidirect
213. C4×C4⋊Q8C22semidirect
214. C4×#125C22semidirect
215. C4×#126C22semidirect
216. C4×#124C22semidirect
217. C4×#124C22semidirect
218. C4×#124C22semidirect
219. C4×C22⋊Q8C22semidirect
220. C4×C22⋊Q8C22semidirect
221. C4×C22⋊Q8C22semidirect
222. C4×C22⋊Q8C22semidirect
223. C4×#123C22semidirect
224. C4×#123C22semidirect
229. C4×#121C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
232. C4×#121C22semidirect
233. #2298C22semidirect
234. #2297C22semidirect
235. #2297C22semidirect
236. C2×#391C22semidirect
239. #2293C22semidirect
240. C2×#389C22semidirect
241. C2×#389C22semidirect
243. #2290C22semidirect
247. C2×#387C22semidirect
250. #2275C22semidirect
252. #2274C22semidirect
253. #2274C22semidirect
254. C42×Q8C22semidirect
255. C42×D4C22semidirect
256. C42×D4C22semidirect
257. C2×C4×C4⋊C4C22semidirect
258. C2×C4×C4⋊C4C22semidirect
267. #562C2×C4semidirect
268. #554C2×C4semidirect
269. #548C2×C4semidirect
270. #547C2×C4semidirect
271. #546C2×C4semidirect
272. #546C2×C4semidirect
273. #543C2×C4semidirect
274. #542C2×C4semidirect
275. #539C2×C4semidirect
276. #538C2×C4semidirect
277. #537C2×C4semidirect
278. #537C2×C4semidirect
285. #525C2×C4semidirect
291. C2×C22⋊Q8C2×C4semidirect
305. C2×#121C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
#345272
#345132
#344952
#344722
#344702
#344642
#344542
#344362
#344332
#344282
#344272
#344102
#343802
#343172
#343092
#343082
#342982
#342922
#342852
#342742
#342672
#342052
#342042
#342022
C4×#5482
C2×#23622
C4×#5392
#340822