Finite Group Databasebeta

← #7656023

Subgroups — #7656023

Order 512.

7190 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#42387C212yesmaximal, complemented
4#42386C212yesmaximal, complemented
5#42152C212yesmaximal, complemented
6#42151C212yesmaximal, complemented
7#41385C212yesmaximal, complemented
8#41380C212yesmaximal, complemented
9#41374C212yesmaximal, complemented
10#41371C212yesmaximal, complemented
11#40505C212yesmaximal, complemented
12#40500C212yesmaximal, complemented
13#40494C212yesmaximal, complemented
14#40491C212yesmaximal, complemented
15#39160C214yesmaximal, complemented
16#38086C214yesmaximal, complemented
17#38076C214yesmaximal, complemented
18#37557C211yesmaximal, characteristic, complemented
19#37556C211yesmaximal, characteristic, complemented
20#37447C211yesmaximal, characteristic, complemented
21#37446C211yesmaximal, characteristic, complemented
22#37442C211yesmaximal, characteristic, complemented
23#37439C211yesmaximal, characteristic, complemented
24#36318C214yesmaximal, complemented
25#36032C212yesmaximal, complemented
26#36010C212yesmaximal, complemented
27#35729C212yesmaximal, complemented
28#35703C212yesmaximal, complemented
29#35119C211yesmaximal, characteristic, complemented
30#35051C211yesmaximal, characteristic, complemented
31#35019C211yesmaximal, characteristic, complemented
32#34637C211yesmaximal, characteristic, complemented
33#34575C211yesmaximal, characteristic, complemented
34C2×#2639C211yesmaximal, characteristic, complemented
35C2×#2353C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3519—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2212yescomplemented
42C2×#553C2211yescharacteristic
43C2×#553C2211yescharacteristic
44C2×#553C2212yes—
45C2×#552C2211yescharacteristic
46C2×#552C2211yescharacteristic, complemented
47C2×#551C2212yescomplemented
48C2×#551C2212yescomplemented
49C2×#550C2211yescharacteristic
50C2×D4×Q8C2211yescharacteristic, complemented
51C2×#548C2211yescharacteristic
52C2×#548C2211yescharacteristic, complemented
53C2×#547C2211yescharacteristic, complemented
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2212yes—
58C2×#546C2212yes—
59C2×#546C2212yes—
60C2×D42C2211yescharacteristic
61C2×D42C2212yes—
62C2×#542C2212yescomplemented
63C2×#540C2212yes—
64C2×#539C2212yes—
65C2×#539C2212yescomplemented
66C2×#538C2212yes—
67C2×#538C2212yes—
68C2×#533C2211yescharacteristic, complemented
69C2×#532C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic, complemented
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C2×#525C2211yescharacteristic, complemented
75C2×#525C2211yescharacteristic, complemented
76C22×C22⋊Q8C2211yescharacteristic, complemented
77C22×C22⋊Q8C2211yescharacteristic, complemented
78C22×#121C2211yescharacteristic
79C22×#121C2211yescharacteristic
80C2×#520C2212yescomplemented
81C2×#518C2212yes—
82C22×C4×D4C2211yescharacteristic
83#2854C2214yescomplemented
84#2850C2214yescomplemented
85#2847C2214yescomplemented
86#2821C2212yescomplemented
87#2821C2212yescomplemented
88#2821C2212yescomplemented
89#2818C2212yescomplemented
90#2817C2212yescomplemented
91#2816C2212yescomplemented
92#2816C2212yescomplemented
93#2815C2212yescomplemented
94#2814C2212yescomplemented
95#2814C2212yescomplemented
96#2813C2212yescomplemented
97#2813C2212yescomplemented
98#2723C2214yescomplemented
99#2719C2214yescomplemented
100#2716C2214yescomplemented
101#2711C2214yescomplemented
102#2710C2214yescomplemented
103#2709C2214yescomplemented
104#2708C2214yescomplemented
105#2703C2214yescomplemented
106#2700C2214yescomplemented
107#2696C2214yescomplemented
108#2690C2214yescomplemented
109#2689C2214yescomplemented
110#2688C2214yescomplemented
111#2688C2214yescomplemented
112#2687C2214yescomplemented
113#2686C2214yescomplemented
114#2685C2214yescomplemented
115#2684C2214yescomplemented
116#2681C2214yescomplemented
117#2678C2214yescomplemented
118#2676C2214yescomplemented
119#2674C2214yescomplemented
120#2673C2214yescomplemented
121#2668C2214yescomplemented
122#2663C2212yescomplemented
123#2663C2212yescomplemented
124#2661C2212yescomplemented
125#2661C2212yescomplemented
126#2659C2211yescharacteristic, complemented
127#2659C2211yescharacteristic, complemented
128#2659C2211yescharacteristic, complemented
129#2656C2211yescharacteristic
130#2656C2211yescharacteristic, complemented
131#2656C2211yescharacteristic, complemented
132#2642C2212yescomplemented
133#2641C2212yescomplemented
134#2640C2212yescomplemented
135#2640C2212yescomplemented
136#2639C2211yescharacteristic
137#2639C2211yescharacteristic
138#2639C2211yescharacteristic
139#2639C2211yescharacteristic, complemented
140#2639C2212yescomplemented
141#2639C2212yescomplemented
142#2639C2211yescharacteristic, complemented
143#2639C2212yescomplemented
144#2639C2212yescomplemented
145#2639C2214yescomplemented
146#2639C2211yescharacteristic, complemented
147#2639C2211yescharacteristic, complemented
148#2639C2211yescharacteristic, complemented
149#2639C2211yescharacteristic, complemented
150#2639C2214yescomplemented
151#2639C2211yescharacteristic, complemented
152#2638C2212yescomplemented
153#2638C2212yescomplemented
154#2635C2212yescomplemented
155#2635C2212yescomplemented
156#2634C2212yescomplemented
157#2634C2212yescomplemented
158#2633C2212yescomplemented
159#2633C2212yescomplemented
160#2632C2212yescomplemented
161#2632C2212yescomplemented
162#2631C2212yescomplemented
163#2631C2212yescomplemented
164#2627C2212yescomplemented
165#2626C2212yescomplemented
166#2625C2212yescomplemented
167#2624C2212yescomplemented
168#2623C2212yescomplemented
169#2623C2212yescomplemented
170#2618C2212yescomplemented
171#2617C2214yescomplemented
172#2617C2212yescomplemented
173#2616C2212yescomplemented
174#2615C2212yescomplemented
175#2614C2212yescomplemented
176#2613C2212yescomplemented
177#2611C2212yescomplemented
178#2611C2212yescomplemented
179#2610C2212yescomplemented
180#2610C2212yescomplemented
181#2604C2212yescomplemented
182#2604C2212yescomplemented
183#2603C2212yescomplemented
184#2603C2212yescomplemented
185#2599C2212yescomplemented
186#2599C2212yescomplemented
187#2598C2212yescomplemented
188#2598C2212yescomplemented
189#2591C2212yescomplemented
190#2591C2212yescomplemented
191#2564C2212yescomplemented
192#2564C2214yescomplemented
193#2564C2212yescomplemented
194#2564C2214yescomplemented
195#2561C2212yescomplemented
196#2561C2212yescomplemented
197#2559C2214yescomplemented
198#2559C2214yescomplemented
199#2557C2214yescomplemented
200#2557C2214yescomplemented
201#2555C2214yescomplemented
202#2553C2214yescomplemented
203#2549C2214yescomplemented
204#2543C2212yescomplemented
205#2543C2214yescomplemented
206#2543C2212yescomplemented
207#2543C2214yescomplemented
208#2539C2214yescomplemented
209#2521C2214yescomplemented
210#2504C2212yescomplemented
211#2503C2212yescomplemented
212#2498C2212yescomplemented
213#2498C2212yescomplemented
214#2498C2214yescomplemented
215#2488C2214yescomplemented
216#2487C2212yescomplemented
217#2486C2212yescomplemented
218#2484C2212yescomplemented
219#2482C2212yescomplemented
220#2481C2214yescomplemented
221#2480C2214yescomplemented
222#2477C2214yescomplemented
223#2476C2214yescomplemented
224#2475C2214yescomplemented
225#2472C2214yescomplemented
226#2472C2214yescomplemented
227#2470C2214yescomplemented
228#2469C2214yescomplemented
229#2466C2214yescomplemented
230#2464C2214yescomplemented
231#2464C2214yescomplemented
232#2463C2214yescomplemented
233#2460C2214yescomplemented
234#2459C2214yescomplemented
235#2458C2214yescomplemented
236#2457C2214yescomplemented
237#2444C2214yes—
238#2444C2214yescomplemented
239#2443C2214yescomplemented
240#2436C2212yescomplemented
241#2435C2212yescomplemented
242#2430C2212yescomplemented
243#2430C2212yescomplemented
244#2430C2214yescomplemented
245#2430C2214yescomplemented
246#2419C2214yes—
247#2418C2214yescomplemented
248#2417C2214yescomplemented
249#2416C2214yescomplemented
250#2412C2214yescomplemented
251#2412C2214yescomplemented
252#2410C2214yes—
253#2410C2214yescomplemented
254#2410C2214yescomplemented
255#2409C2212yescomplemented
256#2408C2212yescomplemented
257#2406C2212yescomplemented
258#2405C2214yes—
259#2404C2212yescomplemented
260#2404C2214yescomplemented
261#2398C2212yescomplemented
262#2398C2212yescomplemented
263#2398C2212yescomplemented
264#2398C2212yescomplemented
265#2395C2212yescomplemented
266#2395C2212yescomplemented
267C2×#400C2212yescomplemented
268C2×#397C2212yescomplemented
269#2388C2212yescomplemented
270#2388C2212yescomplemented
271C2×#394C2212yescomplemented
272C2×#393C2212yescomplemented
273#2364C2214yescomplemented
274#2359C2214yescomplemented
275#2358C2214yescomplemented
276#2353C2212yes—
277#2353C2212yes—
278#2353C2212yescomplemented
279#2353C2212yescomplemented
280#2353C2212yescomplemented
281#2353C2212yescomplemented
282#2353C2212yescomplemented
283#2353C2212yescomplemented
284#2342C2214yescomplemented
285#2325C2214yescomplemented
286#2325C2214yescomplemented
287#2308C2214yescomplemented
288C4×#121C2214yescomplemented
289#2297C2214yescomplemented
290C2×#388C2212yescomplemented
291C2×#387C2212yescomplemented
292C2×#386C2212yes—
293C2×#386C2214yescomplemented
294C2×#383C2211yescharacteristic, complemented
295C2×#381C2211yescharacteristic, complemented
296C2×#380C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yescomplemented
299C2×#376C2211yescharacteristic, complemented
300C22×#95C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2311yescharacteristic
314C23×D4C2311yescharacteristic
315C24×C4C2312yes—
316C24×C4C2311yescharacteristic
317C24×C4C2311yescharacteristic
318#556—28no—
319#555—28no—
320#554—28no—
321#554—216no—
322#553—28no—
323#553—28no—
324#553—216no—
325#552—28no—
326#552—28no—
327#551—216no—
328#551—216no—
329#550—28no—
330D4×Q8—28no—
331#548—28no—
332#548—28no—
333#547—28no—
334#547—28no—
335#546—216no—
336#546—28no—
337#546—28no—
338#546—216no—
339#546—216no—
340D42—216no—
341D42—28no—
342#542—216no—
343#540—216no—
344#539—216no—
345#539—216no—
346#538—216no—
347#538—216no—
348#533—28no—
349#532—28no—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354C2×#127C2311yescharacteristic
355C2×#127C2312yes—
356#529—28no—
357#529—28no—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381#525—28no—
382#525—28no—
383#525—28no—
384#525—28no—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×C22⋊Q8—28no—
404C2×C22⋊Q8—28no—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2314yes—
430C2×#121—28no—
431C2×#121—28no—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#121C2314yes—
465C2×#121C2314yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2312yes—
472C2×#120C2312yes—
473C2×#120C2312yes—
474C2×#120C2314yes—
475C2×#120C2314yes—
476#520—216no—
477#518—216no—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2312yes—
484C2×C4×D4D4116yescomplemented
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2311yescharacteristic
532C22×C4⋊C4C2312yes—
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⋊C4C2312yes—
542C22×C22⋊C4C2314yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2314yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2311yescharacteristic
547C22×C22⋊C4C2311yescharacteristic
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2311yescharacteristic
551#400C2314yes—
552#400C2312yes—
553#400C2312yes—
554#400C2314yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#400C2312yes—
560#400C2312yes—
561#400C2312yes—
562#400C2312yes—
563#400C2312yes—
564#400C2314yes—
565#400C2314yes—
566#400C2314yes—
567#400C2314yes—
568#399C2314yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2314yes—
573#399C2312yes—
574#399C2314yes—
575#399C2312yes—
576#399C2312yes—
577#398C2312yes—
578#398C2314yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2314yes—
583#398C2314yes—
584#398C2312yes—
585#398C2312yes—
586#398C2314yes—
587#398C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2314yes—
593#397C2314yes—
594#397C2312yes—
595#397C2314yes—
596#397C2314yes—
597#397C2312yes—
598#397C2312yes—
599#397C2314yes—
600#397C2314yes—
601#397C2312yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#397C2312yes—
606#397C2314yes—
607#397C2314yes—
608#397C2314yes—
609#397C2314yes—
610#397C2312yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#395C2314yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2314yes—
620#395C2312yes—
621#395C2314yes—
622#395C2312yes—
623#395C2312yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2312yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2312yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#393C2314yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2314yes—
663#393C2312yes—
664#393C2314yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2314yes—
669#393C2314yes—
670#393C2314yes—
671#393C2314yes—
672#392C2312yes—
673#392C2312yes—
674#392C2314yes—
675#392C2314yes—
676#392C2312yes—
677#392C2312yes—
678#392C2314yes—
679#392C2312yes—
680#392C2314yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#392C2312yes—
685#392C2314yes—
686#392C2314yes—
687#391C2314yes—
688#391C2314yes—
689#391C2314yes—
690#391C2314yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
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#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#383C2312yes—
796#383C2312yes—
797#383C2312yes—
798#383C2312yes—
799#382C2314yes—
800#381C2312yes—
801#381C2312yes—
802#381C2314yes—
803#381C2314yes—
804#381C2314yes—
805#381C2312yes—
806#381C2312yes—
807#381C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838#376C2312yes—
839#376C2312yes—
840#376C2312yes—
841#376C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2311yescharacteristic
853C2×#95C2311yescharacteristic
854C2×#95C2311yescharacteristic
855C2×#95C2311yescharacteristic
856C2×#95C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
859C25C2411yescharacteristic
860C25C2412yes—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—48no—
870C2×#41—82no—
871C2×#41—82no—
872C2×#41—82no—
873C2×#41—82no—
874C22×Q8—24no—
875C22×Q8—24no—
876C22×Q8—82no—
877C22×Q8—82no—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×D4—28no—
887C22×D4—28no—
888C22×D4—28no—
889C22×D4—24no—
890C22×D4—24no—
891C22×D4—42no—
892C22×D4—42no—
893C22×D4—44no—
894C22×D4—44no—
895C22×D4—48no—
896C22×D4—48no—
897C22×D4—82no—
898C22×D4—82no—
899C22×D4C2×D418yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2411yescharacteristic
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2414yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2411yescharacteristic
930C22×D4C2411yescharacteristic
931C23×C4—44no—
932C23×C4—44no—
933C23×C4—82no—
934C23×C4—82no—
935C23×C4—82no—
936C23×C4C2×D418yes—
937C23×C4C2×D418yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2414yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2414yes—
959C23×C4C2411yescharacteristic
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2411yescharacteristic
965C23×C4C2411yescharacteristic
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2411yescharacteristic
969C23×C4C2411yescharacteristic
970C23×C4C2411yescharacteristic
971C4⋊Q8—28no—
972C4⋊Q8—24no—
973C4⋊Q8—24no—
974C4⋊Q8—24no—
975#127—28no—
976#127—24no—
977#126—28no—
978#126—28no—
979#126—28no—
980#126—28no—
981#126—28no—
982#126—28no—
983#126—28no—
984#126—28no—
985#125—28no—
986#125—28no—
987#125—28no—
988#125—24no—
989#125—24no—
990#125—28no—
991#124—28no—
992#124—28no—
993#124—28no—
994#124—28no—
995#124—28no—
996#124—24no—
997#124—24no—
998#124—28no—
999#124—84no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—28no—
1009#123—28no—
1010#123—28no—
1011#123—28no—
1012#123—28no—
1013#123—28no—
1014#123—28no—
1015#123—28no—
1016#123—48no—
1017#123—84no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—24no—
1024C22⋊Q8—24no—
1025C22⋊Q8—24no—
1026C22⋊Q8—24no—
1027C22⋊Q8—28no—
1028C22⋊Q8—28no—
1029C22⋊Q8—24no—
1030C22⋊Q8—24no—
1031C22⋊Q8—24no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—28no—
1035C22⋊Q8—28no—
1036C22⋊Q8—28no—
1037C22⋊Q8—28no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—28no—
1041C22⋊Q8—28no—
1042C22⋊Q8—84no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—28no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—28no—
1053#121—28no—
1054#121—28no—
1055#121—28no—
1056#121—24no—
1057#121—24no—
1058#121—24no—
1059#121—24no—
1060#121—24no—
1061#121—24no—
1062#121—24no—
1063#121—24no—
1064#121—24no—
1065#121—28no—
1066#121—28no—
1067#121—28no—
1068#121—28no—
1069#121—28no—
1070#121—28no—
1071#121—48no—
1072#121—48no—
1073#121—48no—
1074#121—48no—
1075#121—84no—
1076#121—84no—
1077#120—28no—
1078#120—28no—
1079#120—28no—
1080#120—28no—
1081#120—28no—
1082#120—28no—
1083#120—28no—
1084#120—28no—
1085#120—48no—
1086#120—84no—
1087C4×Q8—28no—
1088C4×Q8—28no—
1089C4×Q8—24no—
1090C4×Q8—24no—
1091C4×Q8—24no—
1092C4×Q8—24no—
1093C4×D4—28no—
1094C4×D4—28no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—84no—
1116C4×D4C2×D418yes—
1117C4×D4C2×D418yes—
1118C4×D4C2×D418yes—
1119C4×D4C2×D418yes—
1120C4×D4C2×D418yes—
1121C4×D4C2×D418yes—
1122C4×D4C2×D418yes—
1123C4×D4C2×D418yes—
1124#117—24no—
1125#117—24no—
1126#117—24no—
1127#117—24no—
1128#117—28no—
1129#117—28no—
1130#117—28no—
1131#117—28no—
1132#117—28no—
1133#117—28no—
1134C2×C4⋊C4—28no—
1135C2×C4⋊C4—28no—
1136C2×C4⋊C4—24no—
1137C2×C4⋊C4—24no—
1138C2×C4⋊C4—24no—
1139C2×C4⋊C4—24no—
1140C2×C4⋊C4—28no—
1141C2×C4⋊C4—82no—
1142C2×C4⋊C4C2×D418yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—44no—
1201C2×C22⋊C4—44no—
1202C2×C22⋊C4—48no—
1203C2×C22⋊C4—84no—
1204C2×C22⋊C4—82no—
1205C2×C22⋊C4C2×D418yes—
1206C2×C22⋊C4C2×D418yes—
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⋊C4C2414yes—
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⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2411yescharacteristic
1276C2×C22⋊C4C2411yescharacteristic
1277C2×C22⋊C4C2411yescharacteristic
1278C2×C22⋊C4C2411yescharacteristic
1279C2×C22⋊C4C2411yescharacteristic
1280C2×C22⋊C4C2411yescharacteristic
1281C2×C22⋊C4C2411yescharacteristic
1282C2×C22⋊C4C2411yescharacteristic
1283C2×C42—44no—
1284C2×C42—82no—
1285C2×C42C2×D418yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2414yes—
1295C2×C42C2414yes—
1296C2×C42C2414yes—
1297C2×C42C2414yes—
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
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—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2414yes—
1346C24—22no—
1347C24—22no—
1348C24—24no—
1349C24—24no—
1350C24—24no—
1351C24—24no—
1352C24—24no—
1353C24—24no—
1354C24—42no—
1355C24—42no—
1356C24—41no—
1357C24—41no—
1358C24—42no—
1359C24—42no—
1360C24—44no—
1361C24—44no—
1362C24—44no—
1363C24—44no—
1364C24C22×D414yes—
1365C24C22×D414yes—
1366C24C2512yes—
1367C24C2512yes—
1368C24C2512yes—
1369C24C2512yes—
1370C24C2511yescharacteristic
1371C24C2511yescharacteristic
1372C24C2511yescharacteristic
1373C24C2511yescharacteristic
1374C24C2511yescharacteristic
1375#41—432no—
1376#41—816no—
1377#41—88no—
1378#41—88no—
1379#41—88no—
1380#41—88no—
1381C2×Q8—24no—
1382C2×Q8—22no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—22no—
1386C2×Q8—24no—
1387C2×Q8—24no—
1388C2×Q8—24no—
1389C2×Q8—42no—
1390C2×Q8—42no—
1391C2×Q8—42no—
1392C2×Q8—42no—
1393C2×Q8—42no—
1394C2×Q8—42no—
1395C2×Q8—44no—
1396C2×Q8—44no—
1397C2×Q8—44no—
1398C2×Q8—88no—
1399C2×Q8—88no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—28no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—28no—
1417C2×D4—28no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—42no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—416no—
1471C2×D4—432no—
1472C2×D4—88no—
1473C2×D4—88no—
1474C2×D4—816no—
1475C2×D4—816no—
1476C2×D4C22×D414yes—
1477C2×D4C22×D414yes—
1478C2×D4C22×D414yes—
1479C2×D4C22×D414yes—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—28no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—44no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—44no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—88no—
1545C22×C4—88no—
1546C22×C4—816no—
1547C22×C4C22×D414yes—
1548C22×C4C22×D414yes—
1549C22×C4C22×D414yes—
1550C22×C4C22×D414yes—
1551C22×C4C22×D414yes—
1552C22×C4C22×D414yes—
1553C22×C4C22×D414yes—
1554C22×C4C22×D414yes—
1555C22×C4C22×D414yes—
1556C22×C4C22×D414yes—
1557C22×C4C22×D414yes—
1558C22×C4C22×D414yes—
1559C22×C4C22×D414yes—
1560C22×C4C2514yes—
1561C22×C4C2514yes—
1562C22×C4C2514yes—
1563C22×C4C2514yes—
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2511yescharacteristic
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2511yescharacteristic
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—22no—
1590C4⋊C4—22no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—22no—
1606C4⋊C4—22no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—44no—
1633C4⋊C4C22×D414yes—
1634C4⋊C4C22×D414yes—
1635C4⋊C4C22×D414yes—
1636C4⋊C4C22×D414yes—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4C22×D414yes—
1706C22⋊C4C22×D414yes—
1707C22⋊C4C22×D414yes—
1708C22⋊C4C22×D414yes—
1709C22⋊C4C22×D414yes—
1710C22⋊C4C22×D414yes—
1711C22⋊C4C22×D414yes—
1712C22⋊C4C22×D414yes—
1713C42—24no—
1714C42—24no—
1715C42—24no—
1716C42—24no—
1717C42—24no—
1718C42—24no—
1719C42—24no—
1720C42—24no—
1721C42—44no—
1722C42—44no—
1723C42—44no—
1724C42—44no—
1725C42C22×D414yes—
1726C42C22×D414yes—
1727C42C22×D414yes—
1728C42C22×D414yes—
1729C23—21no—
1730C23—21no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—22no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—28no—
1747C23—28no—
1748C23—28no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—24no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—24no—
1762C23—24no—
1763C23—24no—
1764C23—22no—
1765C23—24no—
1766C23—24no—
1767C23—24no—
1768C23—24no—
1769C23—44no—
1770C23—44no—
1771C23—44no—
1772C23—48no—
1773C23—48no—
1774C23—48no—
1775C23—48no—
1776C23—84no—
1777C23—84no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23—84no—
1782C23—88no—
1783C23—88no—
1784C23—164no—
1785C23—164no—
1786C23C23×D412yes—
1787C23C23×D412yes—
1788C23C23×D412yes—
1789C23C23×D412yes—
1790C23C23×D412yes—
1791C23#58512yes—
1792C23#58512yes—
1793C23#58514yes—
1794C23C2611yescharacteristic
1795Q8—44no—
1796Q8—44no—
1797Q8—44no—
1798Q8—48no—
1799Q8—44no—
1800Q8—84no—
1801Q8—84no—
1802Q8—84no—
1803D4—28no—
1804D4—28no—
1805D4—44no—
1806D4—44no—
1807D4—48no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—44no—
1812D4—48no—
1813D4—48no—
1814D4—48no—
1815D4—48no—
1816D4—48no—
1817D4—48no—
1818D4—48no—
1819D4—48no—
1820D4—84no—
1821D4—84no—
1822D4—84no—
1823D4—84no—
1824D4—84no—
1825D4—84no—
1826D4—84no—
1827D4—84no—
1828D4—84no—
1829D4—84no—
1830D4—84no—
1831D4—88no—
1832D4—164no—
1833D4—164no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—28no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—24no—
1861C2×C4—24no—
1862C2×C4—24no—
1863C2×C4—24no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—24no—
1880C2×C4—24no—
1881C2×C4—24no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—24no—
1885C2×C4—24no—
1886C2×C4—24no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—44no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—48no—
1900C2×C4—48no—
1901C2×C4—48no—
1902C2×C4—48no—
1903C2×C4—48no—
1904C2×C4—84no—
1905C2×C4—84no—
1906C2×C4—84no—
1907C2×C4—84no—
1908C2×C4—84no—
1909C2×C4—84no—
1910C2×C4—84no—
1911C2×C4—84no—
1912C2×C4—88no—
1913C2×C4—84no—
1914C2×C4—84no—
1915C2×C4—84no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—88no—
1919C2×C4C23×D412yes—
1920C2×C4C23×D412yes—
1921C2×C4C23×D412yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D412yes—
1924C2×C4C23×D412yes—
1925C2×C4C23×D412yes—
1926C2×C4C23×D412yes—
1927C2×C4C23×D412yes—
1928C2×C4C23×D412yes—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—24no—
1933C22—24no—
1934C22—22no—
1935C22—24no—
1936C22—24no—
1937C22—22no—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—416no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—88no—
1974C22—168no—
1975C22—168no—
1976C22#344914yes—
1977C22#350014yes—
1978C22C24×D411yescharacteristic
1979C22C2×#58512yes—
1980C22C2×#58511yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22H(7,𝔽2)12yes—
1983C4—22no—
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—44no—
2002C4—44no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—44no—
2008C4—44no—
2009C2—24no—
2010C2—24no—
2011C2—42no—
2012C2—42no—
2013C2—42no—
2014C2—82no—
2015C2—82no—
2016C2—82no—
2017C2—82no—
2018C2C2×#344911yescharacteristic
2019C2C2×#350011yescharacteristic
2020C2#6284211yescharacteristic
2021C2#6290612yes—
2022C2#6296312yes—
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×#3520C2semidirect
2. C2×#3519C2semidirect
3. #42387C2semidirect
4. #42386C2semidirect
5. #42152C2semidirect
6. #42151C2semidirect
7. #41385C2semidirect
8. #41380C2semidirect
9. #41374C2semidirect
10. #41371C2semidirect
11. #40505C2semidirect
12. #40500C2semidirect
13. #40494C2semidirect
14. #40491C2semidirect
15. #39160C2semidirect
16. #38086C2semidirect
17. #38076C2semidirect
18. #37557C2semidirect
19. #37556C2semidirect
20. #37447C2semidirect
21. #37446C2semidirect
22. #37442C2semidirect
23. #37439C2semidirect
24. #36318C2semidirect
25. #36032C2semidirect
26. #36010C2semidirect
27. #35729C2semidirect
28. #35703C2semidirect
29. #35119C2semidirect
30. #35051C2semidirect
31. #35019C2semidirect
32. #34637C2semidirect
33. #34575C2semidirect
34. C2×#2639C2semidirect
35. C2×#2353C2semidirect
38. C2×#556C22semidirect
41. C2×#554C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#551C22semidirect
50. C2×D4×Q8C22semidirect
52. C2×#548C22semidirect
53. C2×#547C22semidirect
54. C2×#547C22semidirect
62. C2×#542C22semidirect
65. C2×#539C22semidirect
68. C2×#533C22semidirect
71. C2×#529C22semidirect
74. C2×#525C22semidirect
75. C2×#525C22semidirect
76. C22×C22⋊Q8C22semidirect
77. C22×C22⋊Q8C22semidirect
80. C2×#520C22semidirect
83. #2854C22semidirect
84. #2850C22semidirect
85. #2847C22semidirect
86. #2821C22semidirect
87. #2821C22semidirect
88. #2821C22semidirect
89. #2818C22semidirect
90. #2817C22semidirect
91. #2816C22semidirect
92. #2816C22semidirect
93. #2815C22semidirect
94. #2814C22semidirect
95. #2814C22semidirect
96. #2813C22semidirect
97. #2813C22semidirect
98. #2723C22semidirect
99. #2719C22semidirect
100. #2716C22semidirect
101. #2711C22semidirect
102. #2710C22semidirect
103. #2709C22semidirect
104. #2708C22semidirect
105. #2703C22semidirect
106. #2700C22semidirect
107. #2696C22semidirect
108. #2690C22semidirect
109. #2689C22semidirect
110. #2688C22semidirect
111. #2688C22semidirect
112. #2687C22semidirect
113. #2686C22semidirect
114. #2685C22semidirect
115. #2684C22semidirect
116. #2681C22semidirect
117. #2678C22semidirect
118. #2676C22semidirect
119. #2674C22semidirect
120. #2673C22semidirect
121. #2668C22semidirect
122. #2663C22semidirect
123. #2663C22semidirect
124. #2661C22semidirect
125. #2661C22semidirect
126. #2659C22semidirect
127. #2659C22semidirect
128. #2659C22semidirect
130. #2656C22semidirect
131. #2656C22semidirect
132. #2642C22semidirect
133. #2641C22semidirect
134. #2640C22semidirect
135. #2640C22semidirect
139. #2639C22semidirect
140. #2639C22semidirect
141. #2639C22semidirect
142. #2639C22semidirect
143. #2639C22semidirect
144. #2639C22semidirect
145. #2639C22semidirect
146. #2639C22semidirect
147. #2639C22semidirect
148. #2639C22semidirect
149. #2639C22semidirect
150. #2639C22semidirect
151. #2639C22semidirect
152. #2638C22semidirect
153. #2638C22semidirect
154. #2635C22semidirect
155. #2635C22semidirect
156. #2634C22semidirect
157. #2634C22semidirect
158. #2633C22semidirect
159. #2633C22semidirect
160. #2632C22semidirect
161. #2632C22semidirect
162. #2631C22semidirect
163. #2631C22semidirect
164. #2627C22semidirect
165. #2626C22semidirect
166. #2625C22semidirect
167. #2624C22semidirect
168. #2623C22semidirect
169. #2623C22semidirect
170. #2618C22semidirect
171. #2617C22semidirect
172. #2617C22semidirect
173. #2616C22semidirect
174. #2615C22semidirect
175. #2614C22semidirect
176. #2613C22semidirect
177. #2611C22semidirect
178. #2611C22semidirect
179. #2610C22semidirect
180. #2610C22semidirect
181. #2604C22semidirect
182. #2604C22semidirect
183. #2603C22semidirect
184. #2603C22semidirect
185. #2599C22semidirect
186. #2599C22semidirect
187. #2598C22semidirect
188. #2598C22semidirect
189. #2591C22semidirect
190. #2591C22semidirect
191. #2564C22semidirect
192. #2564C22semidirect
193. #2564C22semidirect
194. #2564C22semidirect
195. #2561C22semidirect
196. #2561C22semidirect
197. #2559C22semidirect
198. #2559C22semidirect
199. #2557C22semidirect
200. #2557C22semidirect
201. #2555C22semidirect
202. #2553C22semidirect
203. #2549C22semidirect
204. #2543C22semidirect
205. #2543C22semidirect
206. #2543C22semidirect
207. #2543C22semidirect
208. #2539C22semidirect
209. #2521C22semidirect
210. #2504C22semidirect
211. #2503C22semidirect
212. #2498C22semidirect
213. #2498C22semidirect
214. #2498C22semidirect
215. #2488C22semidirect
216. #2487C22semidirect
217. #2486C22semidirect
218. #2484C22semidirect
219. #2482C22semidirect
220. #2481C22semidirect
221. #2480C22semidirect
222. #2477C22semidirect
223. #2476C22semidirect
224. #2475C22semidirect
225. #2472C22semidirect
226. #2472C22semidirect
227. #2470C22semidirect
228. #2469C22semidirect
229. #2466C22semidirect
230. #2464C22semidirect
231. #2464C22semidirect
232. #2463C22semidirect
233. #2460C22semidirect
234. #2459C22semidirect
235. #2458C22semidirect
236. #2457C22semidirect
238. #2444C22semidirect
239. #2443C22semidirect
240. #2436C22semidirect
241. #2435C22semidirect
242. #2430C22semidirect
243. #2430C22semidirect
244. #2430C22semidirect
245. #2430C22semidirect
247. #2418C22semidirect
248. #2417C22semidirect
249. #2416C22semidirect
250. #2412C22semidirect
251. #2412C22semidirect
253. #2410C22semidirect
254. #2410C22semidirect
255. #2409C22semidirect
256. #2408C22semidirect
257. #2406C22semidirect
259. #2404C22semidirect
260. #2404C22semidirect
261. #2398C22semidirect
262. #2398C22semidirect
263. #2398C22semidirect
264. #2398C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. C2×#400C22semidirect
268. C2×#397C22semidirect
269. #2388C22semidirect
270. #2388C22semidirect
271. C2×#394C22semidirect
272. C2×#393C22semidirect
273. #2364C22semidirect
274. #2359C22semidirect
275. #2358C22semidirect
278. #2353C22semidirect
279. #2353C22semidirect
280. #2353C22semidirect
281. #2353C22semidirect
282. #2353C22semidirect
283. #2353C22semidirect
284. #2342C22semidirect
285. #2325C22semidirect
286. #2325C22semidirect
287. #2308C22semidirect
288. C4×#121C22semidirect
289. #2297C22semidirect
290. C2×#388C22semidirect
291. C2×#387C22semidirect
293. C2×#386C22semidirect
294. C2×#383C22semidirect
295. C2×#381C22semidirect
296. C2×#380C22semidirect
297. C2×C4×C22⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect
299. C2×#376C22semidirect
300. C22×#95C22semidirect
484. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#35192
#423872
#423862
#421522
#421512
#413852
#413802
#413742
#413712
#405052
#405002
#404942
#404912
#391602
#380862
#380762
#375572
#375562
#374472
#374462
#374422
#374392
#363182
#360322
#360102
#357292
#357032
#351192
#350512
#350192
#346372
#345752
C2×#26392
C2×#23532