Finite Group Databasebeta

← #7654255

Subgroups — #7654255

Order 512.

7397 conjugacy classes of subgroups.

The subgroup lattice has 2030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42675C212yesmaximal, complemented
4#42674C212yesmaximal, complemented
5#41405C214yesmaximal, complemented
6#40587C214yesmaximal, complemented
7#39857C212yesmaximal, complemented
8#39856C212yesmaximal, complemented
9#39469C211yesmaximal, characteristic, complemented
10#39468C211yesmaximal, characteristic, complemented
11#38923C211yesmaximal, characteristic, complemented
12#38922C211yesmaximal, characteristic, complemented
13#38361C214yesmaximal, complemented
14#38360C214yesmaximal, complemented
15#38043C212yesmaximal, complemented
16#38042C212yesmaximal, complemented
17#37837C212yesmaximal, complemented
18#37836C212yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37444C212yesmaximal, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36259C211yesmaximal, characteristic, complemented
23#36219C212yesmaximal, complemented
24#36218C212yesmaximal, complemented
25#36154C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36009C212yesmaximal, complemented
28#35761C212yesmaximal, complemented
29#35297C211yesmaximal, characteristic, complemented
30#35263C212yesmaximal, complemented
31#35189C211yesmaximal, characteristic, complemented
32#35077C212yesmaximal, complemented
33#34976C211yesmaximal, characteristic, complemented
34C2×#2485C212yesmaximal, complemented
35#34181C211yesmaximal, characteristic, complemented
36#3481—216no—
37C2×#559C2211yescharacteristic
38#3475—216no—
39C2×#556C2211yescharacteristic, complemented
40C2×#555C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#553C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#551C2214yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2212yes—
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×D42C2211yescharacteristic
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2212yescomplemented
67C2×#529C2214yescomplemented
68C2×#525C2212yes—
69C2×#525C2212yes—
70C2×#525C2212yescomplemented
71C2×#518C2212yes—
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×D4C2212yes—
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2212yescomplemented
80#2857C2211yescharacteristic, complemented
81#2857C2211yescharacteristic, complemented
82#2857C2211yescharacteristic, complemented
83#2857C2211yescharacteristic, complemented
84#2855C2212yescomplemented
85#2855C2214yescomplemented
86#2854C2212yescomplemented
87#2854C2214yescomplemented
88#2851C2212yescomplemented
89#2850C2212yescomplemented
90#2848C2212yescomplemented
91#2847C2212yescomplemented
92#2814C2214yescomplemented
93#2814C2214yescomplemented
94#2813C2214yescomplemented
95#2727C2214yescomplemented
96#2726C2214yescomplemented
97#2725C2214yescomplemented
98#2725C2214yescomplemented
99#2722C2214yescomplemented
100#2722C2214yescomplemented
101#2715C2214yescomplemented
102#2715C2214yescomplemented
103#2715C2214yescomplemented
104#2712C2214yescomplemented
105#2707C2214yescomplemented
106#2705C2214yescomplemented
107#2704C2214yescomplemented
108#2702C2214yescomplemented
109#2695C2214yescomplemented
110#2695C2214yescomplemented
111#2695C2214yescomplemented
112#2693C2214yescomplemented
113#2691C2214yescomplemented
114#2691C2214yescomplemented
115#2676C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yescomplemented
119#2637C2214yescomplemented
120#2630C2214yes—
121#2630C2214yescomplemented
122#2630C2214yescomplemented
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2629C2212yescomplemented
126#2629C2212yescomplemented
127#2625C2212yescomplemented
128#2625C2214yescomplemented
129#2625C2212yescomplemented
130#2624C2212yescomplemented
131#2624C2214yescomplemented
132#2621C2212yescomplemented
133#2620C2212yes—
134#2617C2214yes—
135#2617C2214yescomplemented
136#2616C2212yes—
137#2616C2212yescomplemented
138#2615C2212yescomplemented
139#2609C2212yescomplemented
140#2609C2212yescomplemented
141#2601C2214yescomplemented
142#2584C2212yescomplemented
143#2582C2211yescharacteristic, complemented
144#2582C2211yescharacteristic, complemented
145#2581C2212yescomplemented
146#2579C2214yescomplemented
147#2567C2211yescharacteristic, complemented
148#2565C2212yescomplemented
149#2564C2214yescomplemented
150#2563C2211yescharacteristic, complemented
151#2562C2212yescomplemented
152#2547C2211yescharacteristic, complemented
153#2547C2212yescomplemented
154#2546C2211yescharacteristic, complemented
155#2545C2212yescomplemented
156#2544C2212yes—
157#2543C2214yescomplemented
158#2543C2214yescomplemented
159#2538C2211yescharacteristic, complemented
160#2538C2211yescharacteristic, complemented
161#2538C2211yescharacteristic, complemented
162#2538C2211yescharacteristic, complemented
163#2537C2212yes—
164#2537C2211yescharacteristic, complemented
165#2537C2211yescharacteristic, complemented
166#2536C2212yescomplemented
167#2535C2212yescomplemented
168#2534C2214yes—
169#2534C2214yescomplemented
170#2498C2214yescomplemented
171#2498C2214yescomplemented
172#2487C2212yescomplemented
173#2487C2212yescomplemented
174#2486C2212yescomplemented
175#2486C2214yescomplemented
176#2486C2212yescomplemented
177#2485C2212yes—
178#2485C2214yes—
179#2485C2211yescharacteristic
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2485C2212yescomplemented
184#2485C2212yescomplemented
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2485C2212yescomplemented
188#2485C2212yescomplemented
189#2485C2211yescharacteristic, complemented
190#2485C2214yescomplemented
191#2485C2214yescomplemented
192#2485C2214yescomplemented
193#2454C2212yescomplemented
194#2453C2212yescomplemented
195#2453C2212yescomplemented
196#2451C2212yescomplemented
197#2450C2214yescomplemented
198#2450C2214yescomplemented
199#2449C2214yescomplemented
200#2449C2214yescomplemented
201#2442C2212yescomplemented
202#2441C2212yescomplemented
203#2441C2212yescomplemented
204#2439C2212yescomplemented
205#2438C2214yescomplemented
206#2438C2214yescomplemented
207#2438C2214yescomplemented
208#2437C2214yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2428C2212yes—
212#2427C2212yes—
213#2427C2212yescomplemented
214#2427C2212yescomplemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2425C2214yes—
218#2425C2214yescomplemented
219#2425C2214yescomplemented
220#2425C2214yescomplemented
221#2425C2214yescomplemented
222#2425C2214yescomplemented
223#2424C2214yes—
224#2424C2214yescomplemented
225#2417C2212yescomplemented
226#2417C2212yescomplemented
227#2417C2212yescomplemented
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2416C2214yes—
231#2416C2212yescomplemented
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2415C2212yes—
236#2415C2212yescomplemented
237#2415C2212yescomplemented
238#2415C2212yescomplemented
239#2415C2212yescomplemented
240#2414C2212yes—
241#2414C2212yescomplemented
242#2413C2214yescomplemented
243#2413C2214yescomplemented
244#2412C2214yes—
245#2412C2214yescomplemented
246#2412C2214yescomplemented
247#2412C2214yescomplemented
248#2411C2214yescomplemented
249#2410C2214yes—
250#2407C2211yescharacteristic
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2211yescharacteristic, complemented
254#2392C2212yes—
255#2392C2212yescomplemented
256C2×#397C2214yescomplemented
257C2×#394C2214yes—
258#2349C2212yes—
259#2349C2212yes—
260#2349C2212yescomplemented
261#2349C2214yescomplemented
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2211yescharacteristic, complemented
266D4×C4⋊C4C2211yescharacteristic, complemented
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269#2339C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272D4×C22⋊C4C2212yes—
273#2325C2214yescomplemented
274#2325C2214yescomplemented
275#2324C2212yescomplemented
276#2323C2212yescomplemented
277#2323C2212yescomplemented
278#2323C2212yescomplemented
279#2316C2212yescomplemented
280#2316C2212yescomplemented
281#2316C2212yescomplemented
282#2315C2214yescomplemented
283#2311C2212yescomplemented
284#2311C2212yescomplemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C2×#389C2212yescomplemented
292C2×#389C2212yescomplemented
293C2×#388C2214yescomplemented
294C2×#387C2214yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C2×#380C2212yescomplemented
298C2×#380C2212yescomplemented
299C2×#380C2212yescomplemented
300C2×#380C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C24×C4C2312yes—
310C24×C4C2312yes—
311#559—28no—
312#556—28no—
313#555—28no—
314#554—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#553—28no—
321#552—216no—
322#552—216no—
323#551—216no—
324#551—216no—
325#551—232no—
326#547—28no—
327#547—48no—
328#546—216no—
329#546—28no—
330#546—28no—
331#546—216no—
332#546—48no—
333D42—28no—
334#533—28no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341#529—216no—
342#529—28no—
343#529—232no—
344#529—216no—
345#529—28no—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366#525—216no—
367#525—216no—
368#525—216no—
369C2×#123C2314yes—
370C2×#123C2312yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#120C2312yes—
430C2×#120C2314yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435#518—48no—
436C4×#41—216no—
437C4×#41—28no—
438C4×#41—28no—
439C4×#41—28no—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×D4—216no—
450C2×C4×D4—28no—
451C2×C4×D4D4116yescomplemented
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×#117—216no—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2314yes—
508C2×#117C2314yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2314yes—
523C22×C4⋊C4C2314yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2312yes—
534C22×C42C2312yes—
535C22×C42C2314yes—
536C22×C42C2312yes—
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2312yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2312yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#393C2314yes—
629#393C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2312yes—
635#392C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2314yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2312yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2312yes—
654#390C2314yes—
655#390C2312yes—
656#390C2311yescharacteristic
657#390C2311yescharacteristic
658#390C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2312yes—
696#389C2314yes—
697#389C2311yescharacteristic
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#384C2312yes—
779#384C2311yescharacteristic
780#384C2311yescharacteristic
781#384C2311yescharacteristic
782#384C2311yescharacteristic
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#381C2314yes—
787#381C2314yes—
788#381C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824#380C2312yes—
825#380C2311yescharacteristic
826#380C2312yes—
827#380C2311yescharacteristic
828#380C2314yes—
829#380C2314yes—
830#380C2312yes—
831#380C2314yes—
832#380C2312yes—
833#380C2314yes—
834#380C2311yescharacteristic
835#380C2311yescharacteristic
836#379C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2412yes—
855C25C2412yes—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—42no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—42no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4—24no—
878C22×D4—24no—
879C22×D4—28no—
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4C2×D418yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2411yescharacteristic
908C23×C4—28no—
909C23×C4—44no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4—44no—
913C23×C4C2×D4116yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—44no—
947#127—24no—
948#126—28no—
949#126—216no—
950#126—216no—
951#126—28no—
952#126—28no—
953#126—216no—
954#126—28no—
955#125—216no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—24no—
960#125—28no—
961#124—28no—
962#124—24no—
963#124—28no—
964#124—216no—
965#124—28no—
966#124—24no—
967#124—44no—
968#123—28no—
969#123—216no—
970#123—216no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—48no—
981#123—48no—
982#123—48no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—216no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—42no—
1000C22⋊Q8—44no—
1001C22⋊Q8—42no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—216no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—24no—
1016#121—24no—
1017#121—28no—
1018#121—28no—
1019#121—48no—
1020#121—44no—
1021#121—48no—
1022#121—42no—
1023#121—44no—
1024#121—42no—
1025#121—44no—
1026#121—48no—
1027#121—48no—
1028#120—28no—
1029#120—28no—
1030#120—216no—
1031#120—28no—
1032#120—28no—
1033#120—48no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—216no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—216no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—48no—
1079C4×D4—48no—
1080C4×D4C2×D418yes—
1081C4×D4C2×D418yes—
1082C4×D4C2×D4116yes—
1083C4×D4C2×D4116yes—
1084C4×D4C2×D418yes—
1085C4×D4C2×D418yes—
1086#117—24no—
1087#117—28no—
1088#117—216no—
1089#117—216no—
1090#117—28no—
1091#117—28no—
1092#117—24no—
1093#117—28no—
1094#117—28no—
1095#117—24no—
1096#117—28no—
1097#117—216no—
1098#117—28no—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—44no—
1103#117—44no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—44no—
1109C2×C4⋊C4—44no—
1110C2×C4⋊C4—44no—
1111C2×C4⋊C4—44no—
1112C2×C4⋊C4—48no—
1113C2×C4⋊C4—48no—
1114C2×C4⋊C4C2×D418yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2412yes—
1185C2×C22⋊C4—216no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—48no—
1190C2×C22⋊C4—48no—
1191C2×C22⋊C4—48no—
1192C2×C22⋊C4—48no—
1193C2×C22⋊C4C2×D4116yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C42—216no—
1263C2×C42—28no—
1264C2×C42—24no—
1265C2×C42—28no—
1266C2×C42—24no—
1267C2×C42C2×D418yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2414yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2414yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2414yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2414yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334C24—24no—
1335C24—24no—
1336C24—24no—
1337C24—24no—
1338C24—24no—
1339C24—24no—
1340C24—42no—
1341C24—42no—
1342C24—42no—
1343C24—42no—
1344C24—42no—
1345C24—42no—
1346C24—42no—
1347C24C22×D418yes—
1348C24C2512yes—
1349C24C2512yes—
1350C24C2511yescharacteristic
1351C24C2511yescharacteristic
1352C24C2512yes—
1353C24C2511yescharacteristic
1354C24C2512yes—
1355#41—416no—
1356#41—416no—
1357#41—416no—
1358#41—432no—
1359#41—816no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—24no—
1370C2×Q8—22no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—42no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—232no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—24no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—41no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—432no—
1441C2×D4—416no—
1442C2×D4C22×D418yes—
1443C2×D4C22×D414yes—
1444C2×D4C22×D414yes—
1445C2×D4H(5,𝔽2)14yes—
1446C2×D42−1+414yes—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—22no—
1463C22×C4—28no—
1464C22×C4—24no—
1465C22×C4—28no—
1466C22×C4—28no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—432no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—42no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—816no—
1528C22×C4C22×D418yes—
1529C22×C4C22×D414yes—
1530C22×C4C22×D414yes—
1531C22×C4C22×D418yes—
1532C22×C4C22×D418yes—
1533C22×C4C22×D414yes—
1534C22×C4C22×D418yes—
1535C22×C4C22×D418yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2514yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2511yescharacteristic
1550C22×C4C2514yes—
1551C22×C4C2514yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2512yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—22no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—28no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—28no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—22no—
1599C4⋊C4—22no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—22no—
1603C4⋊C4—22no—
1604C4⋊C4—24no—
1605C4⋊C4—28no—
1606C4⋊C4—42no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—42no—
1617C4⋊C4—42no—
1618C4⋊C4—42no—
1619C4⋊C4—42no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—42no—
1623C4⋊C4—42no—
1624C4⋊C4—42no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—44no—
1629C4⋊C4—42no—
1630C4⋊C4—44no—
1631C4⋊C4C22×D414yes—
1632C4⋊C4C22×D414yes—
1633C4⋊C4C22×D418yes—
1634C22⋊C4—24no—
1635C22⋊C4—22no—
1636C22⋊C4—28no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—22no—
1660C22⋊C4—22no—
1661C22⋊C4—24no—
1662C22⋊C4—22no—
1663C22⋊C4—24no—
1664C22⋊C4—28no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—28no—
1669C22⋊C4—24no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—44no—
1697C22⋊C4—42no—
1698C22⋊C4C22×D418yes—
1699C22⋊C4C22×D418yes—
1700C22⋊C4C22×D418yes—
1701C22⋊C4C22×D418yes—
1702C42—24no—
1703C42—22no—
1704C42—22no—
1705C42—28no—
1706C42—24no—
1707C42—22no—
1708C42—28no—
1709C42—24no—
1710C42—22no—
1711C42—28no—
1712C42—24no—
1713C42—24no—
1714C42—22no—
1715C42—24no—
1716C42—22no—
1717C42—24no—
1718C42—24no—
1719C42—44no—
1720C42C22×D414yes—
1721C42C22×D414yes—
1722C42C22×D414yes—
1723C42C22×D414yes—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—21no—
1730C23—21no—
1731C23—22no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—22no—
1742C23—22no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—216no—
1747C23—22no—
1748C23—22no—
1749C23—21no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—21no—
1761C23—21no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—21no—
1768C23—48no—
1769C23—48no—
1770C23—48no—
1771C23—48no—
1772C23—48no—
1773C23—48no—
1774C23—84no—
1775C23—84no—
1776C23—84no—
1777C23—84no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23C23×D414yes—
1782C23C23×D412yes—
1783C23C23×D414yes—
1784C23C2×H(5,𝔽2)14yes—
1785C23C2×2−1+414yes—
1786C23#58512yes—
1787C23C2611yescharacteristic
1788Q8—44no—
1789Q8—44no—
1790Q8—48no—
1791Q8—44no—
1792Q8—84no—
1793Q8—84no—
1794D4—28no—
1795D4—216no—
1796D4—28no—
1797D4—48no—
1798D4—44no—
1799D4—48no—
1800D4—48no—
1801D4—48no—
1802D4—44no—
1803D4—48no—
1804D4—48no—
1805D4—416no—
1806D4—44no—
1807D4—44no—
1808D4—84no—
1809D4—84no—
1810D4—88no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—164no—
1815D4#537116yes—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—216no—
1833C2×C4—216no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—48no—
1897C2×C4—44no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—416no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—48no—
1904C2×C4—44no—
1905C2×C4—48no—
1906C2×C4—44no—
1907C2×C4—84no—
1908C2×C4—84no—
1909C2×C4—84no—
1910C2×C4—88no—
1911C2×C4—88no—
1912C2×C4—88no—
1913C2×C4—84no—
1914C2×C4—164no—
1915C2×C4—164no—
1916C2×C4C23×D412yes—
1917C2×C4C23×D414yes—
1918C2×C4C23×D412yes—
1919C2×C4C23×D412yes—
1920C2×C4C23×D414yes—
1921C2×C4C23×D412yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D412yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×2−1+412yes—
1926C2×C4#58512yes—
1927C2×C4#58512yes—
1928C2×C4#58512yes—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—24no—
1933C22—24no—
1934C22—24no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—24no—
1939C22—22no—
1940C22—22no—
1941C22—24no—
1942C22—22no—
1943C22—24no—
1944C22—42no—
1945C22—41no—
1946C22—42no—
1947C22—41no—
1948C22—42no—
1949C22—41no—
1950C22—41no—
1951C22—42no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—42no—
1957C22—41no—
1958C22—42no—
1959C22—41no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—41no—
1965C22—42no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—41no—
1971C22—41no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—41no—
1976C22—42no—
1977C22—816no—
1978C22—816no—
1979C22C2×#53718yes—
1980C22C24×D411yescharacteristic
1981C22C22×H(5,𝔽2)11yescharacteristic
1982C22C22×2−1+411yescharacteristic
1983C22C2×#58511yescharacteristic
1984C22C2×#58511yescharacteristic
1985C22C2×#58511yescharacteristic
1986C22C2×#58511yescharacteristic
1987C4—22no—
1988C4—24no—
1989C4—24no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—42no—
1995C4—44no—
1996C4—42no—
1997C4—42no—
1998C4—44no—
1999C4—42no—
2000C4—41no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4—42no—
2005C4—41no—
2006C4—42no—
2007C4—44no—
2008C4—41no—
2009C4—42no—
2010C4—41no—
2011C4—42no—
2012C4—44no—
2013C4C2×#53714yes—
2014C4#348514yes—
2015C2—28no—
2016C2—44no—
2017C2—42no—
2018C2—42no—
2019C2—82no—
2020C2—81no—
2021C2—82no—
2022C2C22×#53711yescharacteristic
2023C2C2×#348511yescharacteristic
2024C2#6281111yescharacteristic
2025C2#6301811yescharacteristic
2026C2#6302311yescharacteristic
2027C2#6302411yescharacteristic
2028C2#6302511yescharacteristic
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×#3481C2semidirect
2. C2×#3475C2semidirect
3. #42675C2semidirect
4. #42674C2semidirect
5. #41405C2semidirect
6. #40587C2semidirect
7. #39857C2semidirect
8. #39856C2semidirect
9. #39469C2semidirect
10. #39468C2semidirect
11. #38923C2semidirect
12. #38922C2semidirect
13. #38361C2semidirect
14. #38360C2semidirect
15. #38043C2semidirect
16. #38042C2semidirect
17. #37837C2semidirect
18. #37836C2semidirect
19. #37633C2semidirect
20. #37444C2semidirect
21. #36275C2semidirect
22. #36259C2semidirect
23. #36219C2semidirect
24. #36218C2semidirect
25. #36154C2semidirect
26. #36153C2semidirect
27. #36009C2semidirect
28. #35761C2semidirect
29. #35297C2semidirect
30. #35263C2semidirect
31. #35189C2semidirect
32. #35077C2semidirect
33. #34976C2semidirect
34. C2×#2485C2semidirect
35. #34181C2semidirect
39. C2×#556C22semidirect
40. C2×#555C22semidirect
47. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
52. C2×#551C22semidirect
61. C2×#533C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
70. C2×#525C22semidirect
75. C2×C4×#41C22semidirect
79. C22×#117C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2855C22semidirect
85. #2855C22semidirect
86. #2854C22semidirect
87. #2854C22semidirect
88. #2851C22semidirect
89. #2850C22semidirect
90. #2848C22semidirect
91. #2847C22semidirect
92. #2814C22semidirect
93. #2814C22semidirect
94. #2813C22semidirect
95. #2727C22semidirect
96. #2726C22semidirect
97. #2725C22semidirect
98. #2725C22semidirect
99. #2722C22semidirect
100. #2722C22semidirect
101. #2715C22semidirect
102. #2715C22semidirect
103. #2715C22semidirect
104. #2712C22semidirect
105. #2707C22semidirect
106. #2705C22semidirect
107. #2704C22semidirect
108. #2702C22semidirect
109. #2695C22semidirect
110. #2695C22semidirect
111. #2695C22semidirect
112. #2693C22semidirect
113. #2691C22semidirect
114. #2691C22semidirect
115. #2676C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2671C22semidirect
119. #2637C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
125. #2629C22semidirect
126. #2629C22semidirect
127. #2625C22semidirect
128. #2625C22semidirect
129. #2625C22semidirect
130. #2624C22semidirect
131. #2624C22semidirect
132. #2621C22semidirect
135. #2617C22semidirect
137. #2616C22semidirect
138. #2615C22semidirect
139. #2609C22semidirect
140. #2609C22semidirect
141. #2601C22semidirect
142. #2584C22semidirect
143. #2582C22semidirect
144. #2582C22semidirect
145. #2581C22semidirect
146. #2579C22semidirect
147. #2567C22semidirect
148. #2565C22semidirect
149. #2564C22semidirect
150. #2563C22semidirect
151. #2562C22semidirect
152. #2547C22semidirect
153. #2547C22semidirect
154. #2546C22semidirect
155. #2545C22semidirect
157. #2543C22semidirect
158. #2543C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
164. #2537C22semidirect
165. #2537C22semidirect
166. #2536C22semidirect
167. #2535C22semidirect
169. #2534C22semidirect
170. #2498C22semidirect
171. #2498C22semidirect
172. #2487C22semidirect
173. #2487C22semidirect
174. #2486C22semidirect
175. #2486C22semidirect
176. #2486C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
187. #2485C22semidirect
188. #2485C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2485C22semidirect
193. #2454C22semidirect
194. #2453C22semidirect
195. #2453C22semidirect
196. #2451C22semidirect
197. #2450C22semidirect
198. #2450C22semidirect
199. #2449C22semidirect
200. #2449C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
204. #2439C22semidirect
205. #2438C22semidirect
206. #2438C22semidirect
207. #2438C22semidirect
208. #2437C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
213. #2427C22semidirect
214. #2427C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
220. #2425C22semidirect
221. #2425C22semidirect
222. #2425C22semidirect
224. #2424C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
241. #2414C22semidirect
242. #2413C22semidirect
243. #2413C22semidirect
245. #2412C22semidirect
246. #2412C22semidirect
247. #2412C22semidirect
248. #2411C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
255. #2392C22semidirect
256. C2×#397C22semidirect
260. #2349C22semidirect
261. #2349C22semidirect
265. D4×C4⋊C4C22semidirect
266. D4×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
273. #2325C22semidirect
274. #2325C22semidirect
275. #2324C22semidirect
276. #2323C22semidirect
277. #2323C22semidirect
278. #2323C22semidirect
279. #2316C22semidirect
280. #2316C22semidirect
281. #2316C22semidirect
282. #2315C22semidirect
283. #2311C22semidirect
284. #2311C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C2×#389C22semidirect
292. C2×#389C22semidirect
293. C2×#388C22semidirect
294. C2×#387C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. C2×#380C22semidirect
298. C2×#380C22semidirect
299. C2×#380C22semidirect
300. C2×#380C22semidirect
451. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#34752
#426752
#426742
#414052
#405872
#398572
#398562
#394692
#394682
#389232
#389222
#383612
#383602
#380432
#380422
#378372
#378362
#376332
#374442
#362752
#362592
#362192
#362182
#361542
#361532
#360092
#357612
#352972
#352632
#351892
#350772
#349762
C2×#24852
#341812