Finite Group Databasebeta

← #7692197

Subgroups — #7692197

Order 512.

7725 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59659C211yesmaximal, characteristic, complemented
4#59137C212yesmaximal, complemented
5#59130C212yesmaximal, complemented
6#59094C212yesmaximal, complemented
7#59094C214yesmaximal, complemented
8#59084C211yesmaximal, characteristic, complemented
9#59050C211yesmaximal, characteristic, complemented
10#59005C212yesmaximal, complemented
11#45313C212yesmaximal, complemented
12#45296C212yesmaximal, complemented
13#43912C214yesmaximal, complemented
14#43103C214yesmaximal, complemented
15#39174C211yesmaximal, characteristic, complemented
16#39165C212yesmaximal, complemented
17#39127C211yesmaximal, characteristic, complemented
18#39120C212yesmaximal, complemented
19#37710C212yesmaximal, complemented
20#37707C214yesmaximal, complemented
21#36582C212yesmaximal, complemented
22#36576C211yesmaximal, characteristic, complemented
23#36258C212yesmaximal, complemented
24#36258C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36148C212yesmaximal, complemented
27D4×#124C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35903C212yesmaximal, complemented
30#35776C212yesmaximal, complemented
31#34708C211yesmaximal, characteristic, complemented
32C2×#2426C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34#34292C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36#3519—216no—
37Q8×#41—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#557C2211yescharacteristic, complemented
41C2×#555C2211yescharacteristic
42C2×#554C2212yes—
43C2×#554C2211yescharacteristic
44C2×#554C2214yescomplemented
45C2×#554C2212yescomplemented
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#550C2211yescharacteristic
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yescomplemented
51C2×#548C2212yescomplemented
52C2×#546C2214yes—
53C2×#546C2212yes—
54C2×#546C2211yescharacteristic
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×D42C2212yes—
58C2×#540C2212yes—
59C2×#538C2214yes—
60C2×#533C2212yescomplemented
61C2×#533C2212yescomplemented
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2214yescomplemented
64C2×#532C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C22×#124C2212yescomplemented
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yescomplemented
69C22×#121C2212yes—
70C2×#518C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C22×C4×Q8C2212yescomplemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic, complemented
79#2856C2212yescomplemented
80#2854C2212yescomplemented
81#2854C2214yescomplemented
82#2850C2212yescomplemented
83#2848C2212yescomplemented
84#2731C2214yescomplemented
85#2731C2214yescomplemented
86#2730C2214yescomplemented
87#2725C2214yescomplemented
88#2725C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2711C2214yescomplemented
92#2711C2214yescomplemented
93#2711C2214yescomplemented
94#2707C2214yescomplemented
95#2707C2214yescomplemented
96#2707C2214yescomplemented
97#2702C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2674C2214yescomplemented
104#2674C2214yescomplemented
105#2641C2212yescomplemented
106#2639C2214yescomplemented
107#2629C2212yescomplemented
108#2626C2214yescomplemented
109#2591C2214yescomplemented
110#2579C2214yescomplemented
111#2566C2212yescomplemented
112#2562C2212yescomplemented
113#2558C2214yescomplemented
114#2548C2211yescharacteristic, complemented
115#2548C2212yescomplemented
116#2548C2211yescharacteristic, complemented
117#2548C2212yescomplemented
118#2547C2211yescharacteristic, complemented
119#2545C2214yescomplemented
120#2545C2212yescomplemented
121#2542C2211yescharacteristic, complemented
122#2540C2212yescomplemented
123#2540C2212yescomplemented
124#2538C2212yescomplemented
125#2538C2212yescomplemented
126#2538C2211yescharacteristic, complemented
127#2538C2211yescharacteristic, complemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2212yescomplemented
133#2491C2212yescomplemented
134#2491C2214yescomplemented
135#2490C2212yescomplemented
136#2490C2212yescomplemented
137#2481C2212yescomplemented
138#2472C2214yescomplemented
139#2472C2214yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2472C2214yescomplemented
144#2469C2214yescomplemented
145#2469C2214yescomplemented
146#2469C2212yescomplemented
147#2463C2214yescomplemented
148#2461C2214yescomplemented
149#2460C2214yescomplemented
150#2458C2214yescomplemented
151#2458C2214yescomplemented
152#2458C2214yescomplemented
153#2458C2214yescomplemented
154#2458C2212yescomplemented
155#2454C2212yescomplemented
156#2453C2211yescharacteristic, complemented
157#2453C2212yescomplemented
158#2452C2214yescomplemented
159#2452C2212yescomplemented
160#2452C2212yescomplemented
161#2452C2212yescomplemented
162#2450C2214yescomplemented
163#2449C2214yescomplemented
164#2449C2214yescomplemented
165#2448C2212yescomplemented
166#2448C2214yescomplemented
167#2448C2211yescharacteristic, complemented
168#2443C2212yescomplemented
169#2442C2211yescharacteristic, complemented
170#2441C2212yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2439C2212yescomplemented
174#2437C2214yescomplemented
175#2437C2214yescomplemented
176#2437C2214yescomplemented
177#2436C2212yescomplemented
178#2436C2211yescharacteristic, complemented
179#2435C2212yescomplemented
180#2435C2214yescomplemented
181#2432C2212yescomplemented
182#2432C2212yescomplemented
183#2432C2214yescomplemented
184#2429C2212yescomplemented
185#2427C2212yescomplemented
186#2426C2211yescharacteristic
187#2426C2212yes—
188#2426C2214yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2214yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2212yescomplemented
195#2426C2212yescomplemented
196#2426C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2214yescomplemented
199#2426C2214yescomplemented
200#2426C2214yescomplemented
201#2426C2212yescomplemented
202#2426C2214yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2421C2211yescharacteristic, complemented
209#2417C2214yescomplemented
210#2417C2212yescomplemented
211#2416C2211yescharacteristic
212#2416C2214yescomplemented
213#2416C2212yescomplemented
214#2416C2214yescomplemented
215#2416C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2411C2214yescomplemented
223#2409C2211yescharacteristic, complemented
224#2409C2212yescomplemented
225#2408C2214yescomplemented
226#2408C2212yescomplemented
227#2407C2212yescomplemented
228#2398C2212yescomplemented
229#2396C2212yescomplemented
230C2×#396C2214yescomplemented
231C2×#394C2214yescomplemented
232#2370C2212yescomplemented
233#2369C2211yescharacteristic, complemented
234#2367C2214yescomplemented
235#2367C2212yescomplemented
236#2367C2211yescharacteristic, complemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2364C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2211yescharacteristic, complemented
242#2362C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2214yescomplemented
246#2360C2211yescharacteristic, complemented
247#2360C2212yescomplemented
248#2360C2214yescomplemented
249#2359C2214yescomplemented
250#2359C2212yescomplemented
251#2358C2212yescomplemented
252#2358C2214yescomplemented
253#2354C2212yescomplemented
254#2352C2211yescharacteristic, complemented
255Q8×C4⋊C4C2211yescharacteristic, complemented
256#2349C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2212yes—
260#2345C2212yescomplemented
261#2342C2212yescomplemented
262#2342C2214yescomplemented
263#2341C2212yescomplemented
264#2341C2212yescomplemented
265#2339C2211yescharacteristic
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2211yescharacteristic
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271#2330C2212yescomplemented
272#2329C2214yescomplemented
273#2326C2212yescomplemented
274#2325C2214yescomplemented
275#2323C2212yescomplemented
276#2321C2214yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2214yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292C2×#390C2214yescomplemented
293C2×#390C2212yescomplemented
294C2×#389C2212yescomplemented
295#2290C2212yescomplemented
296C2×#388C2214yescomplemented
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2314yes—
310C24×C4C2312yes—
311Q82—28no—
312#557—216no—
313#557—28no—
314#555—28no—
315#554—232no—
316#554—216no—
317#554—216no—
318#554D4116yescomplemented
319#553—216no—
320#553—216no—
321#550—28no—
322D4×Q8—216no—
323D4×Q8—28no—
324#548—48no—
325#546—28no—
326#546—216no—
327#546—232no—
328#546—216no—
329D42—216no—
330D42—28no—
331#540—216no—
332#538—232no—
333#533—28no—
334#533—216no—
335#533—216no—
336#533—232no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#124—48no—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374#525—216no—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8—48no—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×#121—216no—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#120C2314yes—
430C2×#120C2312yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434#518—216no—
435C4×#41—216no—
436C4×#41—28no—
437C2×C4×Q8—28no—
438C2×C4×Q8—216no—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2314yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×D4—28no—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2314yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C22⋊C4C2314yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C42C2312yes—
515C22×C42C2314yes—
516C22×C42C2311yescharacteristic
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#399C2314yes—
525#399C2314yes—
526#399C2312yes—
527#399C2314yes—
528#398C2312yes—
529#398C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2312yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#395C2312yes—
559#395C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2312yes—
590#393C2312yes—
591#393C2312yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2314yes—
602#391C2312yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2314yes—
637#390C2314yes—
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2314yes—
669#389C2314yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2312yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#384C2311yescharacteristic
773#384C2312yes—
774#384C2312yes—
775#382C2311yescharacteristic
776#382C2311yescharacteristic
777#381C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#379C2314yes—
796#379C2314yes—
797#379C2312yes—
798#379C2314yes—
799#379C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845#376C2312yes—
846C2×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C25C2414yes—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—82no—
860C2×#41#4118yescomplemented
861C22×Q8—24no—
862C22×Q8—28no—
863C22×Q8—24no—
864C22×Q8—28no—
865C22×Q8—44no—
866C22×Q8—42no—
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—24no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—216no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4—48no—
886C22×D4—84no—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C23×C4—28no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C4⋊Q8—28no—
933C4⋊Q8—216no—
934C4⋊Q8—216no—
935C4⋊Q8—28no—
936C4⋊Q8—28no—
937C4⋊Q8—28no—
938C4⋊Q8—24no—
939C4⋊Q8C2×D418yes—
940#127—24no—
941#127—28no—
942#126—28no—
943#126—216no—
944#125—24no—
945#125—216no—
946#125—28no—
947#125—216no—
948#125—216no—
949#125—28no—
950#125C2×D4116yes—
951#124—24no—
952#124—28no—
953#124—216no—
954#124—28no—
955#124—24no—
956#124—24no—
957#124—28no—
958#124—44no—
959#124—44no—
960#124—44no—
961#124—48no—
962#124—48no—
963#124—48no—
964#124—48no—
965#124—84no—
966#123—216no—
967#123—28no—
968#123—216no—
969#123—28no—
970#123—216no—
971#123—216no—
972C22⋊Q8—24no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—48no—
987C22⋊Q8—48no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—84no—
993C22⋊Q8C2×D4116yes—
994C22⋊Q8C2×D4132yes—
995#121—216no—
996#121—28no—
997#121—28no—
998#121—216no—
999#121—28no—
1000#121—24no—
1001#121—24no—
1002#121—28no—
1003#121—216no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—216no—
1009#121—28no—
1010#121—28no—
1011#121—216no—
1012#121—48no—
1013#121—44no—
1014#121—42no—
1015#121—44no—
1016#121—82no—
1017#121—84no—
1018#120—28no—
1019#120—216no—
1020#120—216no—
1021#120—216no—
1022#120—216no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—216no—
1029C4×Q8—28no—
1030C4×Q8—216no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—216no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—44no—
1040C4×Q8—82no—
1041C4×Q8C2×D418yes—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—42no—
1067C4×D4—44no—
1068C4×D4—48no—
1069C4×D4—42no—
1070C4×D4C2×D418yes—
1071C4×D4C2×D4116yes—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—216no—
1077#117—28no—
1078#117—28no—
1079C2×C4⋊C4—216no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—24no—
1083C2×C4⋊C4—48no—
1084C2×C4⋊C4—44no—
1085C2×C4⋊C4—84no—
1086C2×C4⋊C4C2×D4116yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—216no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4—48no—
1153C2×C22⋊C4—48no—
1154C2×C22⋊C4—44no—
1155C2×C22⋊C4—84no—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C42—216no—
1230C2×C42—28no—
1231C2×C42—24no—
1232C2×C42—24no—
1233C2×C42—28no—
1234C2×C42—44no—
1235C2×C42C2411yescharacteristic
1236C2×C42C2414yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2414yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2414yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314C24—24no—
1315C24—24no—
1316C24—24no—
1317C24—24no—
1318C24—28no—
1319C24—28no—
1320C24—28no—
1321C24—42no—
1322C24—42no—
1323C24—42no—
1324C24—44no—
1325C24—44no—
1326C24—44no—
1327C24—44no—
1328C24C2512yes—
1329C24C2512yes—
1330C24C2514yes—
1331C24C2511yescharacteristic
1332C24C2511yescharacteristic
1333C24C2512yes—
1334#41—232no—
1335#41—816no—
1336#41—816no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—28no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—28no—
1343C2×Q8—22no—
1344C2×Q8—28no—
1345C2×Q8—24no—
1346C2×Q8—24no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—42no—
1352C2×Q8—44no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—44no—
1356C2×Q8—44no—
1357C2×Q8—432no—
1358C2×Q8—416no—
1359C2×Q8C22×D414yes—
1360C2×Q8C22×D418yes—
1361C2×Q8C2×#4114yes—
1362C2×Q8H(5,𝔽2)14yes—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—41no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—416no—
1417C2×D4—432no—
1418C2×D4—816no—
1419C2×D4—832no—
1420C2×D4C22×D414yes—
1421C2×D4C2×#4118yes—
1422C2×D4C2×#4114yes—
1423C2×D42−1+414yes—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—28no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—28no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—28no—
1460C22×C4—28no—
1461C22×C4—24no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—41no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—41no—
1478C22×C4—42no—
1479C22×C4—41no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—816no—
1490C22×C4C22×D418yes—
1491C22×C4C22×D4116yes—
1492C22×C4C2×#4118yes—
1493C22×C4C2×#4114yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2514yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2514yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—28no—
1529C4⋊C4—24no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—28no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—28no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—42no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D418yes—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D4116yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C4C22×D4116yes—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—22no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—22no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—41no—
1637C22⋊C4—41no—
1638C22⋊C4—41no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4C22×D4116yes—
1654C22⋊C4C22×D418yes—
1655C42—24no—
1656C42—22no—
1657C42—22no—
1658C42—28no—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—22no—
1663C42—22no—
1664C42—24no—
1665C42—28no—
1666C42—22no—
1667C42—28no—
1668C42—24no—
1669C42—24no—
1670C42—28no—
1671C42—22no—
1672C42—24no—
1673C42—22no—
1674C42—24no—
1675C42—22no—
1676C42—22no—
1677C42—42no—
1678C42—42no—
1679C42—41no—
1680C42—44no—
1681C42—41no—
1682C42—44no—
1683C42—44no—
1684C42C22×D414yes—
1685C42C22×D418yes—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—22no—
1713C23—24no—
1714C23—22no—
1715C23—24no—
1716C23—24no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—24no—
1722C23—22no—
1723C23—48no—
1724C23—48no—
1725C23—48no—
1726C23—48no—
1727C23—416no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—88no—
1732C23—88no—
1733C23—88no—
1734C23—88no—
1735C23—88no—
1736C23—88no—
1737C23C23×D414yes—
1738C23C22×#4112yes—
1739C23C22×#4114yes—
1740C23C2×2−1+414yes—
1741C23#58512yes—
1742C23C2611yescharacteristic
1743Q8—28no—
1744Q8—28no—
1745Q8—28no—
1746Q8—48no—
1747Q8—416no—
1748Q8—48no—
1749Q8—48no—
1750Q8—88no—
1751D4—216no—
1752D4—48no—
1753D4—416no—
1754D4—44no—
1755D4—48no—
1756D4—416no—
1757D4—44no—
1758D4—48no—
1759D4—44no—
1760D4—48no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4—84no—
1765D4—88no—
1766D4—84no—
1767D4—88no—
1768D4—84no—
1769D4#548116yescomplemented
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—216no—
1787C2×C4—28no—
1788C2×C4—216no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—24no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—24no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—416no—
1847C2×C4—48no—
1848C2×C4—416no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—84no—
1856C2×C4—82no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—88no—
1860C2×C4—88no—
1861C2×C4—84no—
1862C2×C4—88no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4C23×D414yes—
1867C2×C4C23×D418yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D414yes—
1870C2×C4C23×D414yes—
1871C2×C4C23×D412yes—
1872C2×C4C23×D412yes—
1873C2×C4C22×#4112yes—
1874C2×C4C22×#4114yes—
1875C2×C4C22×#4112yes—
1876C2×C4C2×H(5,𝔽2)14yes—
1877C2×C4C2×H(5,𝔽2)12yes—
1878C2×C4C2×2−1+412yes—
1879C2×C4#58512yes—
1880C22—24no—
1881C22—24no—
1882C22—24no—
1883C22—24no—
1884C22—24no—
1885C22—24no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—42no—
1909C22—42no—
1910C22—44no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—44no—
1915C22—42no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—44no—
1921C22—816no—
1922C22—1616no—
1923C22C2×#54818yes—
1924C22C24×D411yescharacteristic
1925C22C23×#4111yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×2−1+411yescharacteristic
1928C22C2×#58511yescharacteristic
1929C22C2×#58511yescharacteristic
1930C22H(7,𝔽2)11yescharacteristic
1931C4—24no—
1932C4—28no—
1933C4—22no—
1934C4—24no—
1935C4—24no—
1936C4—24no—
1937C4—22no—
1938C4—24no—
1939C4—41no—
1940C4—42no—
1941C4—42no—
1942C4—44no—
1943C4—41no—
1944C4—41no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—41no—
1949C4—42no—
1950C4—41no—
1951C4—41no—
1952C4—44no—
1953C4—41no—
1954C4—42no—
1955C4—41no—
1956C4—41no—
1957C4—42no—
1958C4C2×#54814yes—
1959C4#348814yes—
1960C2—28no—
1961C2—42no—
1962C2—42no—
1963C2—82no—
1964C2—84no—
1965C2—82no—
1966C2C22×#54811yescharacteristic
1967C2C2×#348811yescharacteristic
1968C2#6281611yescharacteristic
1969C2#6295111yescharacteristic
1970C2#6298611yescharacteristic
1971C2#6298711yescharacteristic
1972C2#6301511yescharacteristic
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×#3519C2semidirect
2. C2×Q8×#41C2semidirect
3. #59659C2semidirect
4. #59137C2semidirect
5. #59130C2semidirect
6. #59094C2semidirect
7. #59094C2semidirect
8. #59084C2semidirect
9. #59050C2semidirect
10. #59005C2semidirect
11. #45313C2semidirect
12. #45296C2semidirect
13. #43912C2semidirect
14. #43103C2semidirect
15. #39174C2semidirect
16. #39165C2semidirect
17. #39127C2semidirect
18. #39120C2semidirect
19. #37710C2semidirect
20. #37707C2semidirect
21. #36582C2semidirect
22. #36576C2semidirect
23. #36258C2semidirect
24. #36258C2semidirect
25. #36150C2semidirect
26. #36148C2semidirect
27. D4×#124C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35903C2semidirect
30. #35776C2semidirect
31. #34708C2semidirect
32. C2×#2426C2semidirect
33. #34332C2semidirect
34. #34292C2semidirect
35. C4×#546C2semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
50. C2×D4×Q8C22semidirect
51. C2×#548C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
66. C22×#124C22semidirect
68. C22×C22⋊Q8C22semidirect
73. C22×C4×Q8C22semidirect
74. C22×C4×Q8C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2856C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2850C22semidirect
83. #2848C22semidirect
84. #2731C22semidirect
85. #2731C22semidirect
86. #2730C22semidirect
87. #2725C22semidirect
88. #2725C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2711C22semidirect
92. #2711C22semidirect
93. #2711C22semidirect
94. #2707C22semidirect
95. #2707C22semidirect
96. #2707C22semidirect
97. #2702C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2674C22semidirect
104. #2674C22semidirect
105. #2641C22semidirect
106. #2639C22semidirect
107. #2629C22semidirect
108. #2626C22semidirect
109. #2591C22semidirect
110. #2579C22semidirect
111. #2566C22semidirect
112. #2562C22semidirect
113. #2558C22semidirect
114. #2548C22semidirect
115. #2548C22semidirect
116. #2548C22semidirect
117. #2548C22semidirect
118. #2547C22semidirect
119. #2545C22semidirect
120. #2545C22semidirect
121. #2542C22semidirect
122. #2540C22semidirect
123. #2540C22semidirect
124. #2538C22semidirect
125. #2538C22semidirect
126. #2538C22semidirect
127. #2538C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2490C22semidirect
136. #2490C22semidirect
137. #2481C22semidirect
138. #2472C22semidirect
139. #2472C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2472C22semidirect
144. #2469C22semidirect
145. #2469C22semidirect
146. #2469C22semidirect
147. #2463C22semidirect
148. #2461C22semidirect
149. #2460C22semidirect
150. #2458C22semidirect
151. #2458C22semidirect
152. #2458C22semidirect
153. #2458C22semidirect
154. #2458C22semidirect
155. #2454C22semidirect
156. #2453C22semidirect
157. #2453C22semidirect
158. #2452C22semidirect
159. #2452C22semidirect
160. #2452C22semidirect
161. #2452C22semidirect
162. #2450C22semidirect
163. #2449C22semidirect
164. #2449C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2448C22semidirect
168. #2443C22semidirect
169. #2442C22semidirect
170. #2441C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
173. #2439C22semidirect
174. #2437C22semidirect
175. #2437C22semidirect
176. #2437C22semidirect
177. #2436C22semidirect
178. #2436C22semidirect
179. #2435C22semidirect
180. #2435C22semidirect
181. #2432C22semidirect
182. #2432C22semidirect
183. #2432C22semidirect
184. #2429C22semidirect
185. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2421C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
222. #2411C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2407C22semidirect
228. #2398C22semidirect
229. #2396C22semidirect
230. C2×#396C22semidirect
231. C2×#394C22semidirect
232. #2370C22semidirect
233. #2369C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2364C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
249. #2359C22semidirect
250. #2359C22semidirect
251. #2358C22semidirect
252. #2358C22semidirect
253. #2354C22semidirect
254. #2352C22semidirect
255. Q8×C4⋊C4C22semidirect
260. #2345C22semidirect
261. #2342C22semidirect
262. #2342C22semidirect
263. #2341C22semidirect
264. #2341C22semidirect
271. #2330C22semidirect
272. #2329C22semidirect
273. #2326C22semidirect
274. #2325C22semidirect
275. #2323C22semidirect
276. #2321C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2295C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. C2×#389C22semidirect
295. #2290C22semidirect
296. C2×#388C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
318. #554D4semidirect
860. C2×#41#41semidirect
1769. D4#548semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×Q8×#412
#596592
#591372
#591302
#590942
#590842
#590502
#590052
#453132
#452962
#439122
#431032
#391742
#391652
#391272
#391202
#377102
#377072
#365822
#365762
#362582
#361502
#361482
D4×#1242
D4×C22⋊Q82
#359032
#357762
#347082
C2×#24262
#343322
#342922
C4×#5462