Finite Group Databasebeta

← #7657580

Subgroups — #7657580

Order 512.

6900 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42168C212yesmaximal, complemented
4#41990C212yesmaximal, complemented
5#41422C212yesmaximal, complemented
6#41419C212yesmaximal, complemented
7#41412C212yesmaximal, complemented
8#41409C212yesmaximal, complemented
9#41377C214yesmaximal, complemented
10#40520C214yesmaximal, complemented
11#40508C214yesmaximal, complemented
12#38914C212yesmaximal, complemented
13#38903C212yesmaximal, complemented
14#38049C212yesmaximal, complemented
15#38043C212yesmaximal, complemented
16#38035C212yesmaximal, complemented
17#38024C212yesmaximal, complemented
18#37622C211yesmaximal, characteristic, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37445C211yesmaximal, characteristic, complemented
21#37444C211yesmaximal, characteristic, complemented
22#37442C211yesmaximal, characteristic, complemented
23#37437C211yesmaximal, characteristic, complemented
24#36375C212yesmaximal, complemented
25#36360C212yesmaximal, complemented
26#36061C212yesmaximal, complemented
27#35850C212yesmaximal, complemented
28#35751C214yesmaximal, complemented
29#35342C211yesmaximal, characteristic, complemented
30#35311C211yesmaximal, characteristic, complemented
31#35263C211yesmaximal, characteristic, complemented
32#34635C211yesmaximal, characteristic, complemented
33#34614C211yesmaximal, characteristic, complemented
34C2×#2624C211yesmaximal, characteristic, complemented
35#34194C211yesmaximal, characteristic, complemented
36#3505—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#553C2212yes—
46C2×#553C2211yescharacteristic, complemented
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2211yescharacteristic
50C2×#552C2212yescomplemented
51C2×#552C2211yescharacteristic, complemented
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#551C2212yes—
55C2×#551C2212yescomplemented
56C2×#548C2211yescharacteristic
57C2×#548C2211yescharacteristic
58C2×#547C2211yescharacteristic
59C2×#546C2211yescharacteristic
60C2×#546C2211yescharacteristic
61C2×#546C2212yes—
62C2×#539C2212yes—
63C2×#538C2212yes—
64C2×#534C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yescomplemented
70C2×#529C2212yescomplemented
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C2×#525C2211yescharacteristic, complemented
75C22×C22⋊Q8C2211yescharacteristic
76C22×#121C2211yescharacteristic
77C2×#518C2212yes—
78C2×C4×#41C2212yes—
79C2×C4×#41C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C22×#117C2211yescharacteristic, complemented
83#2855C2212yescomplemented
84#2855C2212yescomplemented
85#2855C2212yescomplemented
86#2854C2212yescomplemented
87#2851C2212yescomplemented
88#2850C2212yescomplemented
89#2821C2212yescomplemented
90#2821C2212yescomplemented
91#2816C2212yescomplemented
92#2815C2212yescomplemented
93#2814C2214yescomplemented
94#2814C2214yescomplemented
95#2814C2212yescomplemented
96#2813C2212yescomplemented
97#2812C2214yescomplemented
98#2726C2214yescomplemented
99#2725C2214yescomplemented
100#2723C2214yescomplemented
101#2722C2214yescomplemented
102#2721C2214yescomplemented
103#2715C2214yescomplemented
104#2710C2214yescomplemented
105#2707C2214yescomplemented
106#2706C2214yescomplemented
107#2705C2214yescomplemented
108#2701C2214yescomplemented
109#2701C2214yescomplemented
110#2700C2214yescomplemented
111#2699C2214yescomplemented
112#2692C2214yescomplemented
113#2691C2214yescomplemented
114#2690C2214yescomplemented
115#2688C2214yescomplemented
116#2686C2214yescomplemented
117#2686C2214yescomplemented
118#2682C2214yescomplemented
119#2680C2214yescomplemented
120#2676C2214yescomplemented
121#2671C2214yescomplemented
122#2664C2212yescomplemented
123#2664C2212yescomplemented
124#2663C2214yescomplemented
125#2663C2212yescomplemented
126#2661C2214yes—
127#2661C2212yescomplemented
128#2659C2212yescomplemented
129#2639C2212yescomplemented
130#2638C2212yescomplemented
131#2638C2214yescomplemented
132#2637C2212yescomplemented
133#2636C2212yescomplemented
134#2635C2212yescomplemented
135#2630C2214yescomplemented
136#2630C2214yescomplemented
137#2629C2212yescomplemented
138#2628C2212yescomplemented
139#2627C2212yescomplemented
140#2625C2211yescharacteristic, complemented
141#2625C2211yescharacteristic, complemented
142#2625C2211yescharacteristic, complemented
143#2625C2211yescharacteristic, complemented
144#2625C2211yescharacteristic, complemented
145#2625C2211yescharacteristic, complemented
146#2625C2212yescomplemented
147#2624C2211yescharacteristic
148#2624C2211yescharacteristic
149#2624C2211yescharacteristic
150#2624C2211yescharacteristic
151#2624C2214yes—
152#2624C2211yescharacteristic
153#2624C2211yescharacteristic
154#2624C2212yescomplemented
155#2624C2212yescomplemented
156#2624C2212yescomplemented
157#2624C2212yescomplemented
158#2624C2212yescomplemented
159#2623C2212yescomplemented
160#2623C2212yescomplemented
161#2622C2214yescomplemented
162#2621C2212yescomplemented
163#2620C2212yescomplemented
164#2618C2212yescomplemented
165#2617C2214yescomplemented
166#2616C2211yescharacteristic, complemented
167#2616C2211yescharacteristic, complemented
168#2615C2211yescharacteristic
169#2615C2211yescharacteristic
170#2613C2214yes—
171#2611C2212yescomplemented
172#2611C2212yescomplemented
173#2604C2212yescomplemented
174#2603C2212yescomplemented
175#2602C2214yescomplemented
176#2602C2214yescomplemented
177#2600C2214yescomplemented
178#2599C2212yescomplemented
179#2598C2212yescomplemented
180#2592C2212yescomplemented
181#2592C2212yescomplemented
182#2584C2212yescomplemented
183#2584C2212yescomplemented
184#2582C2212yescomplemented
185#2581C2212yescomplemented
186#2580C2212yescomplemented
187#2564C2212yescomplemented
188#2561C2212yescomplemented
189#2560C2214yescomplemented
190#2557C2214yescomplemented
191#2556C2214yescomplemented
192#2553C2214yescomplemented
193#2543C2212yescomplemented
194#2539C2212yescomplemented
195#2538C2212yescomplemented
196#2534C2214yes—
197#2521C2214yescomplemented
198#2519C2214yescomplemented
199#2512C2214yescomplemented
200#2503C2212yescomplemented
201#2502C2212yescomplemented
202#2499C2214yescomplemented
203#2498C2212yescomplemented
204#2498C2212yescomplemented
205#2487C2212yescomplemented
206#2486C2214yes—
207#2486C2212yescomplemented
208#2486C2212yescomplemented
209#2486C2212yescomplemented
210#2485C2212yescomplemented
211#2485C2212yescomplemented
212#2485C2214yescomplemented
213#2484C2212yescomplemented
214#2484C2212yescomplemented
215#2483C2214yes—
216#2478C2214yescomplemented
217#2476C2214yescomplemented
218#2475C2214yescomplemented
219#2471C2214yescomplemented
220#2468C2214yescomplemented
221#2468C2214yescomplemented
222#2466C2214yescomplemented
223#2466C2214yescomplemented
224#2466C2214yescomplemented
225#2462C2214yescomplemented
226#2461C2214yescomplemented
227#2459C2214yescomplemented
228#2458C2214yescomplemented
229#2457C2214yescomplemented
230#2456C2214yescomplemented
231#2455C2214yescomplemented
232#2438C2214yescomplemented
233#2437C2214yescomplemented
234#2425C2214yes—
235#2424C2214yes—
236#2422C2214yescomplemented
237#2419C2214yes—
238#2418C2214yes—
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2416C2212yescomplemented
243#2415C2212yescomplemented
244#2415C2214yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2413C2214yescomplemented
249#2412C2214yes—
250#2412C2214yescomplemented
251#2412C2214yescomplemented
252#2409C2212yescomplemented
253#2408C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2406C2214yes—
257#2404C2214yes—
258#2396C2212yescomplemented
259#2395C2212yescomplemented
260#2395C2214yescomplemented
261#2395C2212yescomplemented
262C2×#399C2212yescomplemented
263#2392C2212yescomplemented
264#2392C2214yescomplemented
265C2×#397C2212yescomplemented
266C2×#394C2214yes—
267#2359C2214yescomplemented
268#2358C2214yescomplemented
269#2354C2212yescomplemented
270#2352C2212yes—
271#2352C2212yescomplemented
272D4×C4⋊C4C2212yes—
273#2345C2212yescomplemented
274#2344C2214yescomplemented
275#2342C2212yes—
276#2342C2214yescomplemented
277#2342C2212yescomplemented
278D4×C22⋊C4C2212yes—
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2319C2212yescomplemented
282#2318C2212yes—
283#2318C2212yescomplemented
284#2317C2212yescomplemented
285#2316C2212yescomplemented
286#2311C2212yescomplemented
287#2310C2212yescomplemented
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2212yescomplemented
290#2297C2212yescomplemented
291#2296C2212yescomplemented
292C2×#390C2212yescomplemented
293C2×#389C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic, complemented
298C2×#380C2211yescharacteristic
299C2×#380C2211yescharacteristic, complemented
300#2275C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311#556—28no—
312#555—28no—
313#554—28no—
314#553—28no—
315#553—28no—
316#553—28no—
317#553—216no—
318#553—216no—
319#553—28no—
320#552—28no—
321#552—28no—
322#552—28no—
323#552—28no—
324#552—216no—
325#551—216no—
326#551—216no—
327#551—216no—
328#551—216no—
329#548—28no—
330#548—28no—
331#547—28no—
332#546—216no—
333#546—28no—
334#546—28no—
335#539—216no—
336#538—216no—
337#534—216no—
338#533—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341#529—216no—
342#529—216no—
343#529—216no—
344#529—28no—
345#529—28no—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374#525—28no—
375#525—28no—
376#525—28no—
377#525—28no—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8—28no—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×#121—28no—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2314yes—
454#518—216no—
455C4×#41—216no—
456C4×#41—28no—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×D4D4116yescomplemented
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×#117—28no—
499C2×#117—28no—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2314yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C22⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2314yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2314yes—
545C22×C22⋊C4C2311yescharacteristic
546C22×C22⋊C4C2311yescharacteristic
547C22×C42C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2311yescharacteristic
551#400C2312yes—
552#400C2314yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2314yes—
558#400C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2314yes—
566#399C2312yes—
567#399C2314yes—
568#399C2314yes—
569#398C2314yes—
570#398C2314yes—
571#398C2314yes—
572#398C2312yes—
573#398C2312yes—
574#398C2314yes—
575#398C2314yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2314yes—
580#398C2312yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#397C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2314yes—
591#397C2312yes—
592#397C2314yes—
593#397C2312yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2312yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2312yes—
603#397C2314yes—
604#397C2314yes—
605#397C2314yes—
606#397C2314yes—
607#397C2314yes—
608#397C2314yes—
609#397C2314yes—
610#397C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#395C2312yes—
622#395C2314yes—
623#395C2314yes—
624#395C2314yes—
625#395C2312yes—
626#395C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2312yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#393C2314yes—
656#393C2312yes—
657#393C2312yes—
658#393C2314yes—
659#393C2314yes—
660#393C2314yes—
661#392C2312yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2312yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#391C2314yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2314yes—
677#391C2312yes—
678#391C2312yes—
679#391C2314yes—
680#390C2314yes—
681#390C2312yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2314yes—
689#390C2312yes—
690#390C2314yes—
691#390C2314yes—
692#390C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2314yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#389C2312yes—
713#389C2314yes—
714#389C2312yes—
715#389C2314yes—
716#389C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#384C2314yes—
792#384C2312yes—
793#383C2312yes—
794#382C2314yes—
795#382C2312yes—
796#382C2312yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2314yes—
801#381C2312yes—
802#381C2312yes—
803#381C2314yes—
804#381C2314yes—
805#381C2314yes—
806#381C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824#380C2312yes—
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#380C2312yes—
828#380C2311yescharacteristic
829#380C2311yescharacteristic
830#380C2312yes—
831#380C2314yes—
832#379C2314yes—
833#379C2312yes—
834#379C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853#376C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2411yescharacteristic
859C25C2411yescharacteristic
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C22×Q8—24no—
870C22×Q8—44no—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4—28no—
878C22×D4—24no—
879C22×D4—44no—
880C22×D4—48no—
881C22×D4—44no—
882C22×D4C2×D418yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C23×C4—44no—
907C23×C4—44no—
908C23×C4C2×D418yes—
909C23×C4C2×D418yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—24no—
960#125—24no—
961#125—24no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—28no—
966#124—28no—
967#124—24no—
968#124—24no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—48no—
988#123—84no—
989#123—84no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—24no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—84no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—24no—
1020#121—24no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—28no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—24no—
1029#121—24no—
1030#121—24no—
1031#121—28no—
1032#121—28no—
1033#121—44no—
1034#121—44no—
1035#121—84no—
1036#120—28no—
1037#120—28no—
1038#120—28no—
1039#120—28no—
1040#120—28no—
1041#120—28no—
1042#120—48no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—28no—
1048C4×Q8—24no—
1049C4×Q8—24no—
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—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—48no—
1074C4×D4—84no—
1075C4×D4C2×D418yes—
1076C4×D4C2×D418yes—
1077C4×D4C2×D418yes—
1078C4×D4C2×D418yes—
1079C4×D4C2×D418yes—
1080C4×D4C2×D418yes—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yes—
1083#117—24no—
1084#117—24no—
1085#117—24no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—24no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—44no—
1105#117—44no—
1106#117—82no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4—48no—
1117C2×C4⋊C4C2×D418yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—48no—
1191C2×C22⋊C4—82no—
1192C2×C22⋊C4—82no—
1193C2×C22⋊C4—84no—
1194C2×C22⋊C4C2×D418yes—
1195C2×C22⋊C4C2×D418yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2411yescharacteristic
1264C2×C22⋊C4C2411yescharacteristic
1265C2×C22⋊C4C2411yescharacteristic
1266C2×C22⋊C4C2411yescharacteristic
1267C2×C22⋊C4C2411yescharacteristic
1268C2×C22⋊C4C2411yescharacteristic
1269C2×C22⋊C4C2411yescharacteristic
1270C2×C22⋊C4C2411yescharacteristic
1271C2×C42—28no—
1272C2×C42—28no—
1273C2×C42—28no—
1274C2×C42C2×D418yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2414yes—
1291C2×C42C2414yes—
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24—24no—
1337C24—24no—
1338C24—28no—
1339C24—41no—
1340C24—41no—
1341C24—42no—
1342C24—42no—
1343C24—42no—
1344C24—41no—
1345C24—41no—
1346C24—42no—
1347C24—44no—
1348C24—42no—
1349C24C22×D414yes—
1350C24C22×D414yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357C24C2511yescharacteristic
1358C24C2511yescharacteristic
1359#41—416no—
1360#41—432no—
1361#41—88no—
1362#41—88no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—44no—
1376C2×Q8—42no—
1377C2×Q8—88no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—416no—
1430C2×D4—432no—
1431C2×D4—88no—
1432C2×D4C22×D414yes—
1433C2×D4C22×D414yes—
1434C2×D4C22×D414yes—
1435C2×D4C22×D414yes—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—28no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—416no—
1462C22×C4—416no—
1463C22×C4—41no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C22×D414yes—
1499C22×C4C22×D414yes—
1500C22×C4C22×D414yes—
1501C22×C4C22×D414yes—
1502C22×C4C22×D414yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C22×D414yes—
1506C22×C4C22×D414yes—
1507C22×C4C22×D414yes—
1508C22×C4C22×D414yes—
1509C22×C4C2514yes—
1510C22×C4C2514yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D414yes—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D414yes—
1602C22⋊C4—24no—
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—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4C22×D414yes—
1670C22⋊C4C22×D414yes—
1671C22⋊C4C22×D414yes—
1672C22⋊C4C22×D414yes—
1673C22⋊C4C22×D414yes—
1674C22⋊C4C22×D414yes—
1675C22⋊C4C22×D414yes—
1676C22⋊C4C22×D414yes—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—24no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42—44no—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C23—22no—
1699C23—21no—
1700C23—21no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—28no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—24no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—44no—
1736C23—44no—
1737C23—44no—
1738C23—44no—
1739C23—44no—
1740C23—48no—
1741C23—84no—
1742C23—84no—
1743C23—84no—
1744C23—84no—
1745C23—88no—
1746C23—88no—
1747C23—84no—
1748C23—84no—
1749C23C23×D412yes—
1750C23C23×D412yes—
1751C23C23×D412yes—
1752C23C23×D412yes—
1753C23C23×D412yes—
1754C23#58514yes—
1755C23C2611yescharacteristic
1756Q8—44no—
1757Q8—48no—
1758Q8—44no—
1759Q8—44no—
1760Q8—84no—
1761Q8—84no—
1762D4—28no—
1763D4—28no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—48no—
1768D4—48no—
1769D4—48no—
1770D4—48no—
1771D4—48no—
1772D4—48no—
1773D4—48no—
1774D4—44no—
1775D4—44no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—84no—
1780D4—84no—
1781D4—84no—
1782D4—84no—
1783D4—88no—
1784D4—164no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—28no—
1797C2×C4—28no—
1798C2×C4—28no—
1799C2×C4—28no—
1800C2×C4—28no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—84no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—84no—
1868C2×C4—84no—
1869C2×C4—88no—
1870C2×C4—84no—
1871C2×C4—164no—
1872C2×C4C23×D412yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4#58514yes—
1883C22—22no—
1884C22—22no—
1885C22—24no—
1886C22—24no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—42no—
1919C22—44no—
1920C22—42no—
1921C22—44no—
1922C22—42no—
1923C22—44no—
1924C22—88no—
1925C22—88no—
1926C22—168no—
1927C22#344914yes—
1928C22C24×D411yescharacteristic
1929C22C2×#58512yes—
1930C22C2×#58512yes—
1931C22H(7,𝔽2)11yescharacteristic
1932C222−1+611yescharacteristic
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—44no—
1956C4—44no—
1957C4—44no—
1958C4—44no—
1959C4#348514yes—
1960C2—24no—
1961C2—42no—
1962C2—42no—
1963C2—42no—
1964C2—42no—
1965C2—82no—
1966C2—82no—
1967C2—82no—
1968C2C2×#344911yescharacteristic
1969C2C2×#348511yescharacteristic
1970C2#6285311yescharacteristic
1971C2#6294012yes—
1972C2#6294112yes—
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×#3505C2semidirect
2. C2×#3475C2semidirect
3. #42168C2semidirect
4. #41990C2semidirect
5. #41422C2semidirect
6. #41419C2semidirect
7. #41412C2semidirect
8. #41409C2semidirect
9. #41377C2semidirect
10. #40520C2semidirect
11. #40508C2semidirect
12. #38914C2semidirect
13. #38903C2semidirect
14. #38049C2semidirect
15. #38043C2semidirect
16. #38035C2semidirect
17. #38024C2semidirect
18. #37622C2semidirect
19. #37551C2semidirect
20. #37445C2semidirect
21. #37444C2semidirect
22. #37442C2semidirect
23. #37437C2semidirect
24. #36375C2semidirect
25. #36360C2semidirect
26. #36061C2semidirect
27. #35850C2semidirect
28. #35751C2semidirect
29. #35342C2semidirect
30. #35311C2semidirect
31. #35263C2semidirect
32. #34635C2semidirect
33. #34614C2semidirect
34. C2×#2624C2semidirect
35. #34194C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
46. C2×#553C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
55. C2×#551C22semidirect
65. C2×#533C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
74. C2×#525C22semidirect
79. C2×C4×#41C22semidirect
82. C22×#117C22semidirect
83. #2855C22semidirect
84. #2855C22semidirect
85. #2855C22semidirect
86. #2854C22semidirect
87. #2851C22semidirect
88. #2850C22semidirect
89. #2821C22semidirect
90. #2821C22semidirect
91. #2816C22semidirect
92. #2815C22semidirect
93. #2814C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2813C22semidirect
97. #2812C22semidirect
98. #2726C22semidirect
99. #2725C22semidirect
100. #2723C22semidirect
101. #2722C22semidirect
102. #2721C22semidirect
103. #2715C22semidirect
104. #2710C22semidirect
105. #2707C22semidirect
106. #2706C22semidirect
107. #2705C22semidirect
108. #2701C22semidirect
109. #2701C22semidirect
110. #2700C22semidirect
111. #2699C22semidirect
112. #2692C22semidirect
113. #2691C22semidirect
114. #2690C22semidirect
115. #2688C22semidirect
116. #2686C22semidirect
117. #2686C22semidirect
118. #2682C22semidirect
119. #2680C22semidirect
120. #2676C22semidirect
121. #2671C22semidirect
122. #2664C22semidirect
123. #2664C22semidirect
124. #2663C22semidirect
125. #2663C22semidirect
127. #2661C22semidirect
128. #2659C22semidirect
129. #2639C22semidirect
130. #2638C22semidirect
131. #2638C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
134. #2635C22semidirect
135. #2630C22semidirect
136. #2630C22semidirect
137. #2629C22semidirect
138. #2628C22semidirect
139. #2627C22semidirect
140. #2625C22semidirect
141. #2625C22semidirect
142. #2625C22semidirect
143. #2625C22semidirect
144. #2625C22semidirect
145. #2625C22semidirect
146. #2625C22semidirect
154. #2624C22semidirect
155. #2624C22semidirect
156. #2624C22semidirect
157. #2624C22semidirect
158. #2624C22semidirect
159. #2623C22semidirect
160. #2623C22semidirect
161. #2622C22semidirect
162. #2621C22semidirect
163. #2620C22semidirect
164. #2618C22semidirect
165. #2617C22semidirect
166. #2616C22semidirect
167. #2616C22semidirect
171. #2611C22semidirect
172. #2611C22semidirect
173. #2604C22semidirect
174. #2603C22semidirect
175. #2602C22semidirect
176. #2602C22semidirect
177. #2600C22semidirect
178. #2599C22semidirect
179. #2598C22semidirect
180. #2592C22semidirect
181. #2592C22semidirect
182. #2584C22semidirect
183. #2584C22semidirect
184. #2582C22semidirect
185. #2581C22semidirect
186. #2580C22semidirect
187. #2564C22semidirect
188. #2561C22semidirect
189. #2560C22semidirect
190. #2557C22semidirect
191. #2556C22semidirect
192. #2553C22semidirect
193. #2543C22semidirect
194. #2539C22semidirect
195. #2538C22semidirect
197. #2521C22semidirect
198. #2519C22semidirect
199. #2512C22semidirect
200. #2503C22semidirect
201. #2502C22semidirect
202. #2499C22semidirect
203. #2498C22semidirect
204. #2498C22semidirect
205. #2487C22semidirect
207. #2486C22semidirect
208. #2486C22semidirect
209. #2486C22semidirect
210. #2485C22semidirect
211. #2485C22semidirect
212. #2485C22semidirect
213. #2484C22semidirect
214. #2484C22semidirect
216. #2478C22semidirect
217. #2476C22semidirect
218. #2475C22semidirect
219. #2471C22semidirect
220. #2468C22semidirect
221. #2468C22semidirect
222. #2466C22semidirect
223. #2466C22semidirect
224. #2466C22semidirect
225. #2462C22semidirect
226. #2461C22semidirect
227. #2459C22semidirect
228. #2458C22semidirect
229. #2457C22semidirect
230. #2456C22semidirect
231. #2455C22semidirect
232. #2438C22semidirect
233. #2437C22semidirect
236. #2422C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2416C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2413C22semidirect
250. #2412C22semidirect
251. #2412C22semidirect
252. #2409C22semidirect
253. #2408C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
258. #2396C22semidirect
259. #2395C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. C2×#399C22semidirect
263. #2392C22semidirect
264. #2392C22semidirect
265. C2×#397C22semidirect
267. #2359C22semidirect
268. #2358C22semidirect
269. #2354C22semidirect
271. #2352C22semidirect
273. #2345C22semidirect
274. #2344C22semidirect
276. #2342C22semidirect
277. #2342C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2319C22semidirect
283. #2318C22semidirect
284. #2317C22semidirect
285. #2316C22semidirect
286. #2311C22semidirect
287. #2310C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. C2×#390C22semidirect
293. C2×#389C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
297. #2280C22semidirect
299. C2×#380C22semidirect
464. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#34752
#421682
#419902
#414222
#414192
#414122
#414092
#413772
#405202
#405082
#389142
#389032
#380492
#380432
#380352
#380242
#376222
#375512
#374452
#374442
#374422
#374372
#363752
#363602
#360612
#358502
#357512
#353422
#353112
#352632
#346352
#346142
C2×#26242
#341942