Finite Group Databasebeta

← #7726858

Subgroups — #7726858

Order 512.

7149 conjugacy classes of subgroups.

The subgroup lattice has 1945 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C22×#542C211yesmaximal, characteristic, complemented
3#51535C214yesmaximal, complemented
4#51534C214yesmaximal, complemented
5#47718C214yesmaximal, complemented
6#47716C214yesmaximal, complemented
7#45303C212yesmaximal, complemented
8#45207C212yesmaximal, complemented
9#45077C212yesmaximal, complemented
10#45049C212yesmaximal, complemented
11#39466C211yesmaximal, characteristic, complemented
12#39461C212yesmaximal, complemented
13#39338C211yesmaximal, characteristic, complemented
14#39333C212yesmaximal, complemented
15#39133C211yesmaximal, characteristic, complemented
16#39121C211yesmaximal, characteristic, complemented
17#37835C212yesmaximal, complemented
18#37767C212yesmaximal, complemented
19#37766C212yesmaximal, complemented
20#37699C212yesmaximal, complemented
21#37696C212yesmaximal, complemented
22#37647C212yesmaximal, complemented
23#37632C211yesmaximal, characteristic, complemented
24#36960C212yesmaximal, complemented
25#36956C212yesmaximal, complemented
26#36483C211yesmaximal, characteristic, complemented
27#36482C211yesmaximal, characteristic, complemented
28#36155C211yesmaximal, characteristic, complemented
29D4×#123C211yesmaximal, characteristic, complemented
30#35452C212yesmaximal, complemented
31#35447C212yesmaximal, complemented
32#35316C211yesmaximal, characteristic, complemented
33#35302C211yesmaximal, characteristic, complemented
34#34875C211yesmaximal, characteristic, complemented
35#34377C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic, complemented
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2212yescomplemented
40C2×#551C2212yes—
41C2×#551C2212yescomplemented
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic, complemented
45C2×#546C2212yes—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic, complemented
48C2×D42C2211yescharacteristic
49C2×#542—216no—
50C2×#542C2212yes—
51C2×#542C2212yes—
52C2×#542C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#542C2214yescomplemented
55C2×#542C2214yescomplemented
56C2×#542C2212yescomplemented
57C2×#538C2212yes—
58C2×#538C2212yescomplemented
59C2×#536C2212yes—
60C2×#534C2212yes—
61C2×#532C2211yescharacteristic, complemented
62C22×C4⋊Q8C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic, complemented
65C2×#529C2211yescharacteristic, complemented
66C22×#126C2212yescomplemented
67C22×#124C2211yescharacteristic
68C22×#124C2212yescomplemented
69C22×#124C2211yescharacteristic, complemented
70C22×#123C2212yes—
71C22×#123C2212yescomplemented
72C22×C22⋊Q8C2212yescomplemented
73C22×C22⋊Q8C2211yescharacteristic, complemented
74C22×#121C2211yescharacteristic
75C2×#518C2212yes—
76C2×C4×#41C2211yescharacteristic
77C22×C4×Q8C2211yescharacteristic, complemented
78C22×C4×D4C2211yescharacteristic
79C22×#117C2211yescharacteristic, complemented
80#2857C2212yescomplemented
81#2857C2212yescomplemented
82#2855C2212yescomplemented
83#2855C2211yescharacteristic, complemented
84#2854C2211yescharacteristic
85#2854C2212yescomplemented
86#2849C2212yes—
87#2849C2212yescomplemented
88#2848C2211yescharacteristic, complemented
89#2847C2211yescharacteristic
90#2821C2214yescomplemented
91#2732C2214yescomplemented
92#2730C2214yescomplemented
93#2729C2214yescomplemented
94#2728C2214yescomplemented
95#2722C2214yescomplemented
96#2722C2214yescomplemented
97#2718C2214yescomplemented
98#2718C2214yescomplemented
99#2715C2214yescomplemented
100#2715C2214yescomplemented
101#2715C2214yescomplemented
102#2712C2214yescomplemented
103#2710C2214yescomplemented
104#2710C2214yescomplemented
105#2710C2214yescomplemented
106#2708C2214yescomplemented
107#2706C2214yescomplemented
108#2706C2214yescomplemented
109#2703C2214yescomplemented
110#2703C2214yescomplemented
111#2700C2214yescomplemented
112#2700C2214yescomplemented
113#2698C2214yescomplemented
114#2695C2214yescomplemented
115#2695C2214yescomplemented
116#2691C2214yescomplemented
117#2691C2214yescomplemented
118#2689C2214yescomplemented
119#2688C2214yescomplemented
120#2687C2214yescomplemented
121#2681C2214yescomplemented
122#2680C2214yescomplemented
123#2676C2214yescomplemented
124#2674C2214yescomplemented
125#2674C2214yescomplemented
126#2672C2214yescomplemented
127#2672C2214yescomplemented
128#2671C2214yes—
129#2670C2214yescomplemented
130#2668C2214yes—
131#2660C2212yescomplemented
132#2640C2212yescomplemented
133#2629C2212yescomplemented
134#2628C2214yescomplemented
135#2627C2212yescomplemented
136#2621C2212yescomplemented
137#2621C2212yescomplemented
138#2620C2212yescomplemented
139#2618C2212yescomplemented
140#2614C2212yescomplemented
141#2614C2212yescomplemented
142#2613C2212yes—
143#2613C2212yescomplemented
144#2609C2212yescomplemented
145#2609C2212yescomplemented
146#2609C2214yescomplemented
147#2601C2214yescomplemented
148#2599C2212yescomplemented
149#2598C2212yescomplemented
150#2579C2211yescharacteristic
151#2579C2211yescharacteristic, complemented
152#2579C2212yescomplemented
153#2567C2212yescomplemented
154#2563C2212yescomplemented
155#2561C2212yescomplemented
156#2557C2214yescomplemented
157#2555C2214yescomplemented
158#2549C2214yescomplemented
159#2547C2212yescomplemented
160#2547C2212yescomplemented
161#2546C2212yescomplemented
162#2546C2212yescomplemented
163#2539C2212yescomplemented
164#2538C2212yescomplemented
165#2537C2212yes—
166#2536C2212yescomplemented
167#2535C2212yes—
168#2534C2211yescharacteristic
169#2534C2212yes—
170#2534C2212yescomplemented
171#2534C2211yescharacteristic, complemented
172#2534C2212yescomplemented
173#2521C2214yescomplemented
174#2503C2211yescharacteristic, complemented
175#2503C2211yescharacteristic, complemented
176#2503C2212yescomplemented
177#2501C2211yescharacteristic
178#2501C2211yescharacteristic
179#2501C2212yescomplemented
180#2491C2214yescomplemented
181#2488C2214yescomplemented
182#2486C2212yes—
183#2486C2212yes—
184#2486C2211yescharacteristic
185#2486C2211yescharacteristic
186#2486C2212yescomplemented
187#2486C2212yescomplemented
188#2486C2211yescharacteristic, complemented
189#2486C2211yescharacteristic, complemented
190#2486C2212yescomplemented
191#2486C2212yescomplemented
192#2484C2211yescharacteristic, complemented
193#2483C2212yescomplemented
194#2483C2212yescomplemented
195#2482C2211yescharacteristic, complemented
196#2480C2214yescomplemented
197#2480C2214yescomplemented
198#2478C2214yescomplemented
199#2478C2214yescomplemented
200#2474C2214yescomplemented
201#2472C2214yescomplemented
202#2472C2214yescomplemented
203#2468C2214yescomplemented
204#2468C2214yescomplemented
205#2466C2214yescomplemented
206#2466C2214yescomplemented
207#2461C2214yescomplemented
208#2459C2214yescomplemented
209#2450C2214yescomplemented
210#2449C2214yescomplemented
211#2448C2212yescomplemented
212#2448C2214yescomplemented
213#2447C2212yescomplemented
214#2446C2212yescomplemented
215#2446C2214yescomplemented
216#2445C2212yescomplemented
217#2444C2214yescomplemented
218#2443C2214yescomplemented
219#2440C2214yescomplemented
220#2438C2214yescomplemented
221#2437C2214yescomplemented
222#2429C2212yescomplemented
223#2428C2212yes—
224#2427C2212yes—
225#2426C2212yescomplemented
226#2425C2214yescomplemented
227#2425C2214yescomplemented
228#2425C2214yescomplemented
229#2425C2214yescomplemented
230#2423C2212yescomplemented
231#2423C2214yescomplemented
232#2423C2212yescomplemented
233#2422C2212yes—
234#2422C2212yescomplemented
235#2421C2214yescomplemented
236#2421C2212yescomplemented
237#2421C2212yescomplemented
238#2420C2212yescomplemented
239#2420C2212yescomplemented
240#2419C2214yescomplemented
241#2418C2214yescomplemented
242#2413C2212yescomplemented
243#2413C2214yescomplemented
244#2413C2214yescomplemented
245#2412C2212yes—
246#2412C2212yes—
247#2412C2212yescomplemented
248#2412C2212yescomplemented
249#2412C2214yescomplemented
250#2412C2214yescomplemented
251#2411C2212yescomplemented
252#2409C2212yescomplemented
253#2408C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2406C2211yescharacteristic
257#2405C2212yes—
258#2405C2212yes—
259#2404C2211yescharacteristic
260#2396C2212yescomplemented
261#2392C2212yescomplemented
262#2379C2214yescomplemented
263#2367C2212yescomplemented
264#2367C2212yescomplemented
265#2351C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269#2342C2212yescomplemented
270#2342C2212yescomplemented
271#2341C2212yescomplemented
272Q8×C22⋊C4C2212yescomplemented
273Q8×C22⋊C4C2211yescharacteristic, complemented
274Q8×C22⋊C4C2211yescharacteristic, complemented
275#2339C2212yescomplemented
276D4×C22⋊C4C2211yescharacteristic
277D4×C22⋊C4C2211yescharacteristic
278D4×C22⋊C4C2212yescomplemented
279#2337C2214yescomplemented
280#2326C2212yescomplemented
281#2326C2212yescomplemented
282#2324C2212yescomplemented
283#2323C2212yescomplemented
284#2322C2212yes—
285#2322C2212yescomplemented
286#2315C2212yescomplemented
287#2312C2212yescomplemented
288#2310C2212yescomplemented
289#2308C2212yescomplemented
290C4×#123C2211yescharacteristic
291C4×#123C2212yes—
292C4×#123C2212yescomplemented
293C4×#123C2211yescharacteristic, complemented
294C4×#120C2211yescharacteristic
295C4×#120C2211yescharacteristic, complemented
296#2290C2212yescomplemented
297#2290C2212yescomplemented
298#2285C2211yescharacteristic, complemented
299#2283C2211yescharacteristic, complemented
300C2×#381C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2312yes—
313#559—28no—
314#556—28no—
315#555—216no—
316#551—216no—
317#551—216no—
318D4×Q8—28no—
319#548—28no—
320#548—28no—
321#546—28no—
322#546—28no—
323#546—216no—
324D42—28no—
325#542—216no—
326#542—216no—
327#542—216no—
328#542—232no—
329#542—216no—
330#542—232no—
331#542—216no—
332#538—216no—
333#538—216no—
334#536—48no—
335#534—48no—
336#532—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×#127C2311yescharacteristic
346#529—28no—
347#529—28no—
348#529—28no—
349C2×#126—216no—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#125C2311yescharacteristic
360C2×#124—28no—
361C2×#124—216no—
362C2×#124D4116yescomplemented
363C2×#124C2311yescharacteristic
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#123—216no—
383C2×#123—48no—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2311yescharacteristic
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2311yescharacteristic
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×C22⋊Q8—28no—
410C2×C22⋊Q8—216no—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×#121—28no—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2311yescharacteristic
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2311yescharacteristic
453C2×#120C2314yes—
454#518—216no—
455C4×#41—28no—
456C2×C4×Q8—28no—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2314yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×D4—28no—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2314yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×#117—28no—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2311yescharacteristic
517C22×C22⋊C4C2311yescharacteristic
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C42C2311yescharacteristic
529C22×C42C2312yes—
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533#400C2314yes—
534#400C2314yes—
535#400C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2312yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2314yes—
558#398C2312yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2312yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#396C2312yes—
584#396C2314yes—
585#396C2312yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2312yes—
590#396C2312yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2312yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2312yes—
625#393C2314yes—
626#393C2314yes—
627#392C2312yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#391C2314yes—
634#391C2314yes—
635#391C2314yes—
636#391C2314yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2314yes—
643#391C2314yes—
644#391C2314yes—
645#391C2314yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
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#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2314yes—
714#387C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2311yescharacteristic
720#386C2312yes—
721#386C2311yescharacteristic
722#386C2312yes—
723#386C2311yescharacteristic
724#386C2311yescharacteristic
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2314yes—
751#385C2311yescharacteristic
752#385C2314yes—
753#385C2312yes—
754#385C2311yescharacteristic
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2311yescharacteristic
759#385C2311yescharacteristic
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#384C2312yes—
776#384C2312yes—
777#384C2312yes—
778#384C2314yes—
779#383C2312yes—
780#382C2312yes—
781#382C2312yes—
782#382C2314yes—
783#382C2312yes—
784#382C2312yes—
785#381C2312yes—
786#381C2312yes—
787#381C2312yes—
788#381C2312yes—
789#381C2312yes—
790#381C2312yes—
791#381C2311yescharacteristic
792#381C2312yes—
793#381C2314yes—
794#381C2311yescharacteristic
795#381C2311yescharacteristic
796#381C2312yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2314yes—
801#381C2311yescharacteristic
802#380C2314yes—
803#380C2314yes—
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2314yes—
822#380C2314yes—
823#380C2314yes—
824#380C2314yes—
825#379C2311yescharacteristic
826#379C2312yes—
827#379C2311yescharacteristic
828#379C2312yes—
829#379C2312yes—
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851#376C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2411yescharacteristic
855C25C2412yes—
856C25C2412yes—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C22×Q8—24no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8—44no—
870C22×Q8C2×D418yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2414yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—24no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4C2×D418yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C23×C4—28no—
910C23×C4—24no—
911C23×C4—44no—
912C23×C4—44no—
913C23×C4—44no—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C4⋊Q8—24no—
942C4⋊Q8—28no—
943C4⋊Q8—28no—
944C4⋊Q8—28no—
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—48no—
948#127—24no—
949#126—216no—
950#126—216no—
951#126—216no—
952#126—216no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#125—24no—
959#124—24no—
960#124—28no—
961#124—24no—
962#124—28no—
963#124—216no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—24no—
971#124—48no—
972#124C2×D418yes—
973#124C2×D418yes—
974#124C2×D4116yes—
975#124C2×D418yes—
976#124C2×D418yes—
977#124C2×D4116yes—
978#123—28no—
979#123—24no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—216no—
984#123—216no—
985#123—216no—
986#123—216no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—48no—
993#123—48no—
994#123—44no—
995#123—44no—
996#123—44no—
997#123—42no—
998#123—44no—
999#123—44no—
1000#123—44no—
1001#123—44no—
1002#123—48no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—216no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—24no—
1011C22⋊Q8—28no—
1012C22⋊Q8—216no—
1013C22⋊Q8—216no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—48no—
1019C22⋊Q8—48no—
1020C22⋊Q8—44no—
1021#121—28no—
1022#121—28no—
1023#121—216no—
1024#121—24no—
1025#121—24no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—48no—
1035#121—48no—
1036#121—44no—
1037#120—28no—
1038#120—28no—
1039#120—28no—
1040#120—24no—
1041#120—28no—
1042#120—42no—
1043#120—44no—
1044#120—48no—
1045C4×Q8—28no—
1046C4×Q8—28no—
1047C4×Q8—216no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—24no—
1053C4×Q8—44no—
1054C4×Q8—44no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080#117—24no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—24no—
1089#117—24no—
1090#117—28no—
1091#117—44no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—24no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—48no—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—28no—
1160C2×C22⋊C4—24no—
1161C2×C22⋊C4—24no—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—44no—
1167C2×C22⋊C4—48no—
1168C2×C22⋊C4—44no—
1169C2×C22⋊C4C2×D4116yes—
1170C2×C22⋊C4C2×D4116yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C42—24no—
1249C2×C42—28no—
1250C2×C42—24no—
1251C2×C42—24no—
1252C2×C42C2×D418yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324C24—24no—
1325C24—24no—
1326C24—22no—
1327C24—24no—
1328C24—24no—
1329C24—22no—
1330C24—22no—
1331C24—42no—
1332C24—44no—
1333C24—44no—
1334C24—42no—
1335C24—42no—
1336C24—44no—
1337C24—44no—
1338C24C22×D418yes—
1339C24C2512yes—
1340C24C2512yes—
1341C24C2511yescharacteristic
1342C24C2512yes—
1343C24C2512yes—
1344C24C2511yescharacteristic
1345C24C2511yescharacteristic
1346#41—416no—
1347#41—88no—
1348#41—88no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—28no—
1353C2×Q8—28no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—24no—
1357C2×Q8—24no—
1358C2×Q8—44no—
1359C2×Q8—41no—
1360C2×Q8—44no—
1361C2×Q8—44no—
1362C2×Q8—44no—
1363C2×Q8—44no—
1364C2×Q8—44no—
1365C2×Q8—416no—
1366C2×Q8—816no—
1367C2×Q8—88no—
1368C2×Q8C22×D414yes—
1369C2×Q8C22×D414yes—
1370C2×Q8C22×D418yes—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—416no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—41no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—432no—
1420C2×D4—88no—
1421C2×D4—816no—
1422C2×D4C22×D414yes—
1423C2×D4C22×D414yes—
1424C2×D4C22×D418yes—
1425C2×D4H(5,𝔽2)14yes—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—28no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—44no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—416no—
1490C22×C4—816no—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D418yes—
1494C22×C4C22×D414yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2514yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2514yes—
1510C22×C4C2512yes—
1511C22×C4C2514yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—28no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—42no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—28no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D418yes—
1651C22⋊C4C22×D418yes—
1652C22⋊C4C22×D418yes—
1653C22⋊C4C22×D418yes—
1654C22⋊C4C22×D418yes—
1655C22⋊C4C22×D418yes—
1656C22⋊C4C22×D418yes—
1657C42—22no—
1658C42—22no—
1659C42—24no—
1660C42—24no—
1661C42—22no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—28no—
1666C42—28no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—44no—
1673C42—44no—
1674C42—44no—
1675C42C22×D414yes—
1676C42C22×D414yes—
1677C42C22×D414yes—
1678C42C22×D414yes—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—24no—
1691C23—24no—
1692C23—22no—
1693C23—216no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—22no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—24no—
1710C23—22no—
1711C23—48no—
1712C23—48no—
1713C23—48no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—88no—
1718C23—84no—
1719C23—88no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—88no—
1724C23—164no—
1725C23C23×D414yes—
1726C23C23×D414yes—
1727C23C23×D412yes—
1728C23C2×H(5,𝔽2)12yes—
1729C23C2×H(5,𝔽2)12yes—
1730C23#58512yes—
1731C23C2611yescharacteristic
1732Q8—28no—
1733Q8—28no—
1734Q8—48no—
1735Q8—44no—
1736Q8—44no—
1737Q8—84no—
1738Q8—88no—
1739Q8—88no—
1740D4—28no—
1741D4—28no—
1742D4—28no—
1743D4—48no—
1744D4—48no—
1745D4—44no—
1746D4—48no—
1747D4—48no—
1748D4—44no—
1749D4—44no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—88no—
1756D4—88no—
1757D4—84no—
1758D4—84no—
1759D4—164no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—44no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—48no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—82no—
1839C2×C4—84no—
1840C2×C4—82no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—84no—
1844C2×C4—88no—
1845C2×C4—88no—
1846C2×C4—84no—
1847C2×C4—88no—
1848C2×C4—164no—
1849C2×C4C23×D414yes—
1850C2×C4C23×D414yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4#58514yes—
1859C22—22no—
1860C22—22no—
1861C22—24no—
1862C22—24no—
1863C22—24no—
1864C22—24no—
1865C22—24no—
1866C22—22no—
1867C22—24no—
1868C22—24no—
1869C22—24no—
1870C22—24no—
1871C22—41no—
1872C22—41no—
1873C22—44no—
1874C22—44no—
1875C22—44no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—44no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—44no—
1895C22—816no—
1896C22—88no—
1897C22—168no—
1898C22#348814yes—
1899C22C24×D411yescharacteristic
1900C22C22×H(5,𝔽2)11yescharacteristic
1901C22C2×#58512yes—
1902C22C2×#58511yescharacteristic
1903C222−1+612yes—
1904C4—22no—
1905C4—24no—
1906C4—24no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—42no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—44no—
1918C4—42no—
1919C4—41no—
1920C4—44no—
1921C4—42no—
1922C4—41no—
1923C4—42no—
1924C4—41no—
1925C4—44no—
1926C4—42no—
1927C4—42no—
1928C4—44no—
1929C4—42no—
1930C4—42no—
1931C4#348514yes—
1932C2—24no—
1933C2—44no—
1934C2—44no—
1935C2—42no—
1936C2—81no—
1937C2—82no—
1938C2—82no—
1939C2C2×#348511yescharacteristic
1940C2C2×#348811yescharacteristic
1941C2#6285911yescharacteristic
1942C2#6292112yes—
1943C2#6294012yes—
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×#3514C2semidirect
2. C22×#542C2semidirect
3. #51535C2semidirect
4. #51534C2semidirect
5. #47718C2semidirect
6. #47716C2semidirect
7. #45303C2semidirect
8. #45207C2semidirect
9. #45077C2semidirect
10. #45049C2semidirect
11. #39466C2semidirect
12. #39461C2semidirect
13. #39338C2semidirect
14. #39333C2semidirect
15. #39133C2semidirect
16. #39121C2semidirect
17. #37835C2semidirect
18. #37767C2semidirect
19. #37766C2semidirect
20. #37699C2semidirect
21. #37696C2semidirect
22. #37647C2semidirect
23. #37632C2semidirect
24. #36960C2semidirect
25. #36956C2semidirect
26. #36483C2semidirect
27. #36482C2semidirect
28. #36155C2semidirect
29. D4×#123C2semidirect
30. #35452C2semidirect
31. #35447C2semidirect
32. #35316C2semidirect
33. #35302C2semidirect
34. #34875C2semidirect
35. #34377C2semidirect
37. C2×#559C22semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
41. C2×#551C22semidirect
44. C2×#548C22semidirect
47. C2×#546C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
56. C2×#542C22semidirect
58. C2×#538C22semidirect
61. C2×#532C22semidirect
62. C22×C4⋊Q8C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
66. C22×#126C22semidirect
68. C22×#124C22semidirect
69. C22×#124C22semidirect
71. C22×#123C22semidirect
72. C22×C22⋊Q8C22semidirect
73. C22×C22⋊Q8C22semidirect
77. C22×C4×Q8C22semidirect
79. C22×#117C22semidirect
80. #2857C22semidirect
81. #2857C22semidirect
82. #2855C22semidirect
83. #2855C22semidirect
85. #2854C22semidirect
87. #2849C22semidirect
88. #2848C22semidirect
90. #2821C22semidirect
91. #2732C22semidirect
92. #2730C22semidirect
93. #2729C22semidirect
94. #2728C22semidirect
95. #2722C22semidirect
96. #2722C22semidirect
97. #2718C22semidirect
98. #2718C22semidirect
99. #2715C22semidirect
100. #2715C22semidirect
101. #2715C22semidirect
102. #2712C22semidirect
103. #2710C22semidirect
104. #2710C22semidirect
105. #2710C22semidirect
106. #2708C22semidirect
107. #2706C22semidirect
108. #2706C22semidirect
109. #2703C22semidirect
110. #2703C22semidirect
111. #2700C22semidirect
112. #2700C22semidirect
113. #2698C22semidirect
114. #2695C22semidirect
115. #2695C22semidirect
116. #2691C22semidirect
117. #2691C22semidirect
118. #2689C22semidirect
119. #2688C22semidirect
120. #2687C22semidirect
121. #2681C22semidirect
122. #2680C22semidirect
123. #2676C22semidirect
124. #2674C22semidirect
125. #2674C22semidirect
126. #2672C22semidirect
127. #2672C22semidirect
129. #2670C22semidirect
131. #2660C22semidirect
132. #2640C22semidirect
133. #2629C22semidirect
134. #2628C22semidirect
135. #2627C22semidirect
136. #2621C22semidirect
137. #2621C22semidirect
138. #2620C22semidirect
139. #2618C22semidirect
140. #2614C22semidirect
141. #2614C22semidirect
143. #2613C22semidirect
144. #2609C22semidirect
145. #2609C22semidirect
146. #2609C22semidirect
147. #2601C22semidirect
148. #2599C22semidirect
149. #2598C22semidirect
151. #2579C22semidirect
152. #2579C22semidirect
153. #2567C22semidirect
154. #2563C22semidirect
155. #2561C22semidirect
156. #2557C22semidirect
157. #2555C22semidirect
158. #2549C22semidirect
159. #2547C22semidirect
160. #2547C22semidirect
161. #2546C22semidirect
162. #2546C22semidirect
163. #2539C22semidirect
164. #2538C22semidirect
166. #2536C22semidirect
170. #2534C22semidirect
171. #2534C22semidirect
172. #2534C22semidirect
173. #2521C22semidirect
174. #2503C22semidirect
175. #2503C22semidirect
176. #2503C22semidirect
179. #2501C22semidirect
180. #2491C22semidirect
181. #2488C22semidirect
186. #2486C22semidirect
187. #2486C22semidirect
188. #2486C22semidirect
189. #2486C22semidirect
190. #2486C22semidirect
191. #2486C22semidirect
192. #2484C22semidirect
193. #2483C22semidirect
194. #2483C22semidirect
195. #2482C22semidirect
196. #2480C22semidirect
197. #2480C22semidirect
198. #2478C22semidirect
199. #2478C22semidirect
200. #2474C22semidirect
201. #2472C22semidirect
202. #2472C22semidirect
203. #2468C22semidirect
204. #2468C22semidirect
205. #2466C22semidirect
206. #2466C22semidirect
207. #2461C22semidirect
208. #2459C22semidirect
209. #2450C22semidirect
210. #2449C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2447C22semidirect
214. #2446C22semidirect
215. #2446C22semidirect
216. #2445C22semidirect
217. #2444C22semidirect
218. #2443C22semidirect
219. #2440C22semidirect
220. #2438C22semidirect
221. #2437C22semidirect
222. #2429C22semidirect
225. #2426C22semidirect
226. #2425C22semidirect
227. #2425C22semidirect
228. #2425C22semidirect
229. #2425C22semidirect
230. #2423C22semidirect
231. #2423C22semidirect
232. #2423C22semidirect
234. #2422C22semidirect
235. #2421C22semidirect
236. #2421C22semidirect
237. #2421C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
240. #2419C22semidirect
241. #2418C22semidirect
242. #2413C22semidirect
243. #2413C22semidirect
244. #2413C22semidirect
247. #2412C22semidirect
248. #2412C22semidirect
249. #2412C22semidirect
250. #2412C22semidirect
251. #2411C22semidirect
252. #2409C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
260. #2396C22semidirect
261. #2392C22semidirect
262. #2379C22semidirect
263. #2367C22semidirect
264. #2367C22semidirect
265. #2351C22semidirect
266. Q8×C4⋊C4C22semidirect
267. #2349C22semidirect
268. D4×C4⋊C4C22semidirect
269. #2342C22semidirect
270. #2342C22semidirect
271. #2341C22semidirect
272. Q8×C22⋊C4C22semidirect
273. Q8×C22⋊C4C22semidirect
274. Q8×C22⋊C4C22semidirect
275. #2339C22semidirect
278. D4×C22⋊C4C22semidirect
279. #2337C22semidirect
280. #2326C22semidirect
281. #2326C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
285. #2322C22semidirect
286. #2315C22semidirect
287. #2312C22semidirect
288. #2310C22semidirect
289. #2308C22semidirect
292. C4×#123C22semidirect
293. C4×#123C22semidirect
295. C4×#120C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
298. #2285C22semidirect
299. #2283C22semidirect
300. C2×#381C22semidirect
362. C2×#124D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C22×#5422
#515352
#515342
#477182
#477162
#453032
#452072
#450772
#450492
#394662
#394612
#393382
#393332
#391332
#391212
#378352
#377672
#377662
#376992
#376962
#376472
#376322
#369602
#369562
#364832
#364822
#361552
D4×#1232
#354522
#354472
#353162
#353022
#348752
#343772