Finite Group Databasebeta

← #7683712

Subgroups — #7683712

Order 512.

8021 conjugacy classes of subgroups.

The subgroup lattice has 2025 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59421C212yesmaximal, complemented
4#59418C212yesmaximal, complemented
5#59417C212yesmaximal, complemented
6#59416C212yesmaximal, complemented
7#59091C214yesmaximal, complemented
8#59088C214yesmaximal, complemented
9#59025C212yesmaximal, complemented
10#59024C212yesmaximal, complemented
11#59019C212yesmaximal, complemented
12#59014C212yesmaximal, complemented
13#45336C212yesmaximal, complemented
14#45307C212yesmaximal, complemented
15#45269C212yesmaximal, complemented
16#45258C212yesmaximal, complemented
17#45236C212yesmaximal, complemented
18#45114C212yesmaximal, complemented
19#45113C212yesmaximal, complemented
20#45057C212yesmaximal, complemented
21#44513C214yesmaximal, complemented
22#43998C214yesmaximal, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35618C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35519C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#34813C211yesmaximal, characteristic, complemented
30#34738C211yesmaximal, characteristic, complemented
31C2×#2421C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic, complemented
33#34257C211yesmaximal, characteristic, complemented
34#34208C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3507—216no—
39#3489—216no—
40C2×#559C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#556C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×D4×Q8C2212yes—
49C2×#548C2212yes—
50C2×#547C2212yes—
51C2×#547C2214yes—
52C2×#546C2212yes—
53C2×#546C2214yes—
54C2×#539C2214yescomplemented
55C2×#537C2211yescharacteristic
56C2×#537C2212yes—
57C2×#537C2211yescharacteristic, complemented
58C2×#536C2212yes—
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic, complemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#529C2214yescomplemented
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C22×C22⋊Q8C2212yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#519C2211yescharacteristic, complemented
75C22×C4×Q8C2211yescharacteristic, complemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2713C2214yescomplemented
80#2713C2214yescomplemented
81#2707C2214yescomplemented
82#2707C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2702C2214yes—
86#2702C2214yescomplemented
87#2700C2214yescomplemented
88#2700C2214yescomplemented
89#2696C2214yescomplemented
90#2696C2214yescomplemented
91#2693C2214yescomplemented
92#2691C2214yescomplemented
93#2690C2214yes—
94#2690C2214yescomplemented
95#2689C2214yescomplemented
96#2687C2214yescomplemented
97#2685C2214yes—
98#2678C2214yes—
99#2676C2214yescomplemented
100#2582C2212yescomplemented
101#2581C2212yescomplemented
102#2580C2212yescomplemented
103#2560C2214yes—
104#2560C2214yescomplemented
105#2559C2214yescomplemented
106#2558C2214yescomplemented
107#2558C2214yescomplemented
108#2557C2214yescomplemented
109#2555C2214yescomplemented
110#2553C2214yescomplemented
111#2543C2214yescomplemented
112#2538C2212yes—
113#2538C2212yescomplemented
114#2538C2212yescomplemented
115#2538C2212yescomplemented
116#2537C2212yes—
117#2536C2212yes—
118#2536C2212yes—
119#2536C2212yescomplemented
120#2535C2212yescomplemented
121#2504C2212yescomplemented
122#2503C2212yescomplemented
123#2500C2212yescomplemented
124#2499C2212yescomplemented
125#2492C2211yescharacteristic
126#2492C2214yescomplemented
127#2492C2211yescharacteristic, complemented
128#2491C2211yescharacteristic
129#2491C2211yescharacteristic, complemented
130#2490C2211yescharacteristic
131#2490C2214yescomplemented
132#2490C2211yescharacteristic, complemented
133#2489C2211yescharacteristic
134#2489C2211yescharacteristic, complemented
135#2488C2214yescomplemented
136#2488C2212yescomplemented
137#2488C2212yescomplemented
138#2481C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yes—
141#2476C2214yescomplemented
142#2476C2214yescomplemented
143#2472C2214yes—
144#2472C2214yes—
145#2472C2212yes—
146#2472C2212yes—
147#2471C2214yescomplemented
148#2471C2214yescomplemented
149#2466C2214yescomplemented
150#2465C2214yes—
151#2465C2214yescomplemented
152#2460C2214yes—
153#2460C2214yes—
154#2459C2214yescomplemented
155#2457C2214yescomplemented
156#2457C2214yescomplemented
157#2450C2214yescomplemented
158#2450C2214yescomplemented
159#2449C2214yescomplemented
160#2444C2214yescomplemented
161#2444C2214yescomplemented
162#2442C2214yescomplemented
163#2442C2212yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2439C2214yescomplemented
167#2439C2212yescomplemented
168#2438C2214yescomplemented
169#2436C2211yescharacteristic
170#2436C2212yescomplemented
171#2435C2211yescharacteristic
172#2434C2211yescharacteristic
173#2434C2212yescomplemented
174#2433C2211yescharacteristic
175#2432C2211yescharacteristic
176#2432C2211yescharacteristic
177#2432C2212yescomplemented
178#2431C2211yescharacteristic
179#2431C2211yescharacteristic
180#2431C2212yescomplemented
181#2430C2212yes—
182#2430C2212yes—
183#2430C2214yescomplemented
184#2430C2214yescomplemented
185#2429C2212yes—
186#2429C2212yescomplemented
187#2429C2212yescomplemented
188#2428C2212yescomplemented
189#2427C2214yes—
190#2427C2212yescomplemented
191#2426C2212yes—
192#2426C2212yescomplemented
193#2426C2214yescomplemented
194#2426C2212yescomplemented
195#2425C2214yescomplemented
196#2424C2214yes—
197#2424C2214yes—
198#2421C2212yes—
199#2421C2212yes—
200#2421C2212yes—
201#2421C2212yes—
202#2421C2212yescomplemented
203#2421C2212yescomplemented
204#2421C2212yescomplemented
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yescomplemented
209#2420C2212yescomplemented
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2416C2212yes—
213#2416C2212yescomplemented
214#2416C2214yescomplemented
215#2415C2212yes—
216#2415C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2413C2214yescomplemented
220#2412C2214yes—
221#2411C2214yes—
222#2410C2212yes—
223#2410C2212yes—
224#2409C2212yescomplemented
225#2409C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2398C2212yes—
229#2398C2212yescomplemented
230C2×#400C2212yescomplemented
231C2×#397C2212yes—
232#2388C2212yes—
233#2388C2212yes—
234#2364C2214yescomplemented
235#2364C2214yescomplemented
236#2364C2214yescomplemented
237#2363C2214yes—
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2360C2214yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2359C2214yescomplemented
244#2359C2214yescomplemented
245#2352C2212yescomplemented
246#2352C2212yescomplemented
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249#2342C2214yes—
250#2341C2212yes—
251#2341C2212yescomplemented
252#2341C2212yescomplemented
253#2341C2212yescomplemented
254#2341C2212yescomplemented
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yescomplemented
257Q8×C22⋊C4C2212yescomplemented
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260#2339C2212yes—
261#2339C2214yes—
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2214yes—
264#2328C2212yescomplemented
265#2327C2212yescomplemented
266#2327C2212yescomplemented
267#2326C2212yescomplemented
268#2317C2211yescharacteristic, complemented
269#2317C2211yescharacteristic, complemented
270#2311C2212yes—
271#2311C2212yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic, complemented
275#2311C2211yescharacteristic, complemented
276#2311C2214yescomplemented
277C4×C4⋊Q8C2212yescomplemented
278C4×#124C2212yes—
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×#124C2212yescomplemented
283C4×#120C2212yes—
284C4×#120C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2297C2214yescomplemented
289#2297C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yes—
293C2×#387C2212yescomplemented
294C2×#382C2211yescharacteristic, complemented
295#2280C2211yescharacteristic
296#2280C2212yes—
297C2×#380C2212yes—
298C2×#380C2211yescharacteristic
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—28no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2311yescharacteristic
312C22×#41C2311yescharacteristic
313C22×#41C2314yes—
314C22×#41C2312yes—
315C22×#41C2312yes—
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C23×Q8C2311yescharacteristic
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2311yescharacteristic
322C23×D4C2312yes—
323C23×D4C2311yescharacteristic
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326#559—216no—
327#557—216no—
328#556—216no—
329#556—216no—
330#556—216no—
331#554—216no—
332#552—216no—
333#552—216no—
334D4×Q8—216no—
335#548—216no—
336#547—216no—
337#547—232no—
338#546—216no—
339#546—232no—
340#539—232no—
341#537—28no—
342#537—216no—
343#537—44no—
344#536—28no—
345#536—216no—
346#536D4116yescomplemented
347#533—28no—
348#532—28no—
349#532—28no—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2311yescharacteristic
359#529—232no—
360C2×#126C2314yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#125C2314yes—
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379#525—216no—
380#525—28no—
381#525—44no—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×C22⋊Q8—28no—
392C2×C22⋊Q8—216no—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#120C2314yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441#520—28no—
442#520—28no—
443#520—28no—
444#520—44no—
445#519—44no—
446C2×C4×Q8—28no—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2314yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2311yescharacteristic
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2311yescharacteristic
508C22×C22⋊C4C2311yescharacteristic
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2314yes—
522#400C2314yes—
523#399C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#395C2314yes—
555#395C2312yes—
556#395C2312yes—
557#395C2314yes—
558#395C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#393C2314yes—
582#393C2312yes—
583#393C2314yes—
584#393C2312yes—
585#393C2312yes—
586#393C2312yes—
587#393C2312yes—
588#393C2312yes—
589#393C2314yes—
590#392C2312yes—
591#392C2312yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2312yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2314yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2314yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2311yescharacteristic
624#391C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2314yes—
646#390C2314yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#384C2312yes—
763#384C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#381C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#379C2312yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2311yescharacteristic
852C2×#95C2311yescharacteristic
853C43C2312yes—
854C25C2411yescharacteristic
855C25C2412yes—
8562−1+4—464no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—216no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—28no—
875C2×#41—28no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—48no—
884C2×#41—42no—
885C2×#41—42no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—464no—
889C2×#41C2×D418yes—
890C2×#41#4118yes—
891C22×Q8—28no—
892C22×Q8—28no—
893C22×Q8—24no—
894C22×Q8—24no—
895C22×Q8—28no—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—42no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8C2×D418yes—
903C22×Q8C2411yescharacteristic
904C22×Q8C2411yescharacteristic
905C22×Q8C2412yes—
906C22×Q8C2414yes—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2411yescharacteristic
911C22×Q8C2411yescharacteristic
912C22×Q8C2412yes—
913C22×D4—28no—
914C22×D4—24no—
915C22×D4—28no—
916C22×D4—24no—
917C22×D4—42no—
918C22×D4—44no—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C22×D4C2412yes—
922C22×D4C2411yescharacteristic
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2414yes—
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2412yes—
932C22×D4C2411yescharacteristic
933C22×D4C2412yes—
934C22×D4C2414yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2412yes—
939C22×D4C2412yes—
940C22×D4C2414yes—
941C23×C4—28no—
942C23×C4—24no—
943C23×C4—28no—
944C23×C4—24no—
945C23×C4—24no—
946C23×C4—44no—
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2411yescharacteristic
955C23×C4C2414yes—
956C23×C4C2412yes—
957C23×C4C2414yes—
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2412yes—
963C23×C4C2412yes—
964C23×C4C2412yes—
965C23×C4C2414yes—
966C23×C4C2412yes—
967C23×C4C2411yescharacteristic
968C23×C4C2414yes—
969C23×C4C2411yescharacteristic
970C23×C4C2411yescharacteristic
971C23×C4C2414yes—
972C23×C4C2414yes—
973C23×C4C2411yescharacteristic
974C4⋊Q8—24no—
975C4⋊Q8—28no—
976C4⋊Q8—24no—
977C4⋊Q8—24no—
978C4⋊Q8—24no—
979C4⋊Q8—216no—
980C4⋊Q8C2×D4116yes—
981#127—24no—
982#127—24no—
983#126—216no—
984#126—216no—
985#126—216no—
986#126—216no—
987#125—216no—
988#125—24no—
989#125—24no—
990#125—216no—
991#125—216no—
992#124—24no—
993#124—28no—
994#124—24no—
995#124—24no—
996#124—24no—
997#124—216no—
998#124—216no—
999#124—44no—
1000#124—44no—
1001#124C2×D4116yes—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—28no—
1006#123—216no—
1007#123—216no—
1008#123—216no—
1009#123—44no—
1010#123C2×D4132yes—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—24no—
1020C22⋊Q8—216no—
1021C22⋊Q8—24no—
1022C22⋊Q8—216no—
1023C22⋊Q8—216no—
1024C22⋊Q8—216no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—216no—
1028C22⋊Q8—48no—
1029C22⋊Q8—42no—
1030C22⋊Q8—42no—
1031C22⋊Q8—44no—
1032C22⋊Q8—44no—
1033C22⋊Q8C2×D4116yes—
1034C22⋊Q8C2×D4116yes—
1035#121—28no—
1036#121—28no—
1037#121—216no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—24no—
1043#121—24no—
1044#121—216no—
1045#121—216no—
1046#121—216no—
1047#121—48no—
1048#121—48no—
1049#121—42no—
1050#121—42no—
1051#121—44no—
1052#121—44no—
1053#121—48no—
1054#120—216no—
1055#120—28no—
1056#120—44no—
1057#120—44no—
1058#120—44no—
1059C4×Q8—28no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—28no—
1063C4×Q8—28no—
1064C4×Q8—216no—
1065C4×Q8—28no—
1066C4×Q8—28no—
1067C4×Q8—28no—
1068C4×Q8—28no—
1069C4×Q8—44no—
1070C4×Q8—44no—
1071C4×Q8—44no—
1072C4×Q8—44no—
1073C4×Q8—44no—
1074C4×D4—216no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—216no—
1081C4×D4—216no—
1082C4×D4—216no—
1083C4×D4—216no—
1084C4×D4—216no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—48no—
1093#117—24no—
1094#117—28no—
1095#117—24no—
1096#117—24no—
1097#117—28no—
1098#117—28no—
1099#117—216no—
1100#117—216no—
1101#117—48no—
1102#117—44no—
1103#117C2×D418yes—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—216no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—216no—
1167C2×C22⋊C4—42no—
1168C2×C22⋊C4—44no—
1169C2×C22⋊C4—48no—
1170C2×C22⋊C4—42no—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C42—28no—
1244C2×C42—24no—
1245C2×C42—24no—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2414yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2411yescharacteristic
1275#95C2414yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2414yes—
1326C24—22no—
1327C24—24no—
1328C24—22no—
1329C24—24no—
1330C24—22no—
1331C24—22no—
1332C24—24no—
1333C24—41no—
1334C24—42no—
1335C24—41no—
1336C24—41no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24C2511yescharacteristic
1341C24C2512yes—
1342C24C2512yes—
1343C24C2512yes—
1344C24C2512yes—
1345C24C2511yescharacteristic
1346C24C2511yescharacteristic
1347#41—232no—
1348#41—232no—
1349#41—432no—
1350#41—464no—
1351#41—432no—
1352#41—432no—
1353#41—416no—
1354#41—416no—
1355#41—432no—
1356#41—416no—
1357#41—416no—
1358C2×Q8—232no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—28no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—28no—
1371C2×Q8—22no—
1372C2×Q8—24no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—22no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—24no—
1380C2×Q8—44no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—42no—
1384C2×Q8—42no—
1385C2×Q8—432no—
1386C2×Q8—416no—
1387C2×Q8—432no—
1388C2×Q8C22×D418yes—
1389C2×Q8C22×D418yes—
1390C2×Q8C22×D414yes—
1391C2×Q8C2×#4114yes—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—22no—
1417C2×D4—28no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
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—432no—
1455C2×D4—416no—
1456C2×D4C22×D418yes—
1457C2×D4C22×D414yes—
1458C2×D4C2×#4118yes—
1459C2×D4C2×#4114yes—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—28no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—28no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—24no—
1491C22×C4—22no—
1492C22×C4—24no—
1493C22×C4—22no—
1494C22×C4—24no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—28no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—28no—
1507C22×C4—28no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—41no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—432no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—41no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—42no—
1530C22×C4—44no—
1531C22×C4—41no—
1532C22×C4—42no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—416no—
1537C22×C4C22×D418yes—
1538C22×C4C22×D418yes—
1539C22×C4C22×D414yes—
1540C22×C4C2×#4118yes—
1541C22×C4C2×#4114yes—
1542C22×C4H(5,𝔽2)14yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2514yes—
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2514yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2512yes—
1558C22×C4C2514yes—
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2514yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2511yescharacteristic
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—28no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—28no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—28no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—22no—
1602C4⋊C4—22no—
1603C4⋊C4—22no—
1604C4⋊C4—22no—
1605C4⋊C4—28no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4C22×D414yes—
1618C4⋊C4C22×D414yes—
1619C4⋊C4C22×D4116yes—
1620C4⋊C4C22×D4116yes—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—22no—
1633C22⋊C4—22no—
1634C22⋊C4—28no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—22no—
1650C22⋊C4—22no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—41no—
1654C22⋊C4—41no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—41no—
1659C22⋊C4—41no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4C22×D4116yes—
1691C22⋊C4C22×D418yes—
1692C22⋊C4C22×D4116yes—
1693C42—28no—
1694C42—22no—
1695C42—22no—
1696C42—28no—
1697C42—22no—
1698C42—22no—
1699C42—28no—
1700C42—28no—
1701C42—28no—
1702C42—24no—
1703C42—22no—
1704C42—22no—
1705C42—22no—
1706C42—22no—
1707C42—24no—
1708C42—24no—
1709C42—42no—
1710C42—42no—
1711C42—44no—
1712C42—44no—
1713C42—44no—
1714C42—42no—
1715C42—42no—
1716C42C22×D418yes—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—22no—
1740C23—21no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—21no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—21no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—21no—
1758C23—22no—
1759C23—21no—
1760C23—48no—
1761C23—44no—
1762C23—44no—
1763C23—44no—
1764C23—48no—
1765C23—48no—
1766C23—44no—
1767C23—82no—
1768C23—82no—
1769C23—82no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23C23×D414yes—
1775C23C23×D412yes—
1776C23C22×#4114yes—
1777C23C22×#4112yes—
1778C23C2×H(5,𝔽2)12yes—
1779C23#58512yes—
1780C23C2611yescharacteristic
1781Q8—216no—
1782Q8—216no—
1783Q8—28no—
1784Q8—28no—
1785Q8—48no—
1786Q8—416no—
1787Q8—48no—
1788Q8—44no—
1789Q8—44no—
1790Q8—84no—
1791D4—216no—
1792D4—216no—
1793D4—28no—
1794D4—28no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—416no—
1800D4—48no—
1801D4—48no—
1802D4—48no—
1803D4—44no—
1804D4—44no—
1805D4—84no—
1806D4—84no—
1807D4—88no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—84no—
1812D4—164no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—216no—
1826C2×C4—216no—
1827C2×C4—216no—
1828C2×C4—21no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—24no—
1872C2×C4—24no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—24no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—24no—
1888C2×C4—48no—
1889C2×C4—416no—
1890C2×C4—44no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—416no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—48no—
1900C2×C4—48no—
1901C2×C4—88no—
1902C2×C4—88no—
1903C2×C4—82no—
1904C2×C4—84no—
1905C2×C4—88no—
1906C2×C4—84no—
1907C2×C4—82no—
1908C2×C4—82no—
1909C2×C4—84no—
1910C2×C4—164no—
1911C2×C4#546116yes—
1912C2×C4C23×D414yes—
1913C2×C4C23×D414yes—
1914C2×C4C23×D418yes—
1915C2×C4C23×D414yes—
1916C2×C4C23×D412yes—
1917C2×C4C23×D412yes—
1918C2×C4C22×#4114yes—
1919C2×C4C22×#4112yes—
1920C2×C4C22×#4112yes—
1921C2×C4C2×H(5,𝔽2)12yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4#58512yes—
1924C22—22no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—24no—
1931C22—22no—
1932C22—24no—
1933C22—22no—
1934C22—24no—
1935C22—24no—
1936C22—22no—
1937C22—24no—
1938C22—24no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—41no—
1950C22—41no—
1951C22—42no—
1952C22—42no—
1953C22—41no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—41no—
1959C22—41no—
1960C22—42no—
1961C22—42no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—41no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—41no—
1971C22—42no—
1972C22—88no—
1973C22—816no—
1974C22C2×#54614yes—
1975C22C24×D411yescharacteristic
1976C22C23×#4111yescharacteristic
1977C22C22×H(5,𝔽2)11yescharacteristic
1978C22C2×#58511yescharacteristic
1979C22C2×#58511yescharacteristic
1980C222−1+611yescharacteristic
1981C222−1+611yescharacteristic
1982C4—22no—
1983C4—24no—
1984C4—24no—
1985C4—24no—
1986C4—24no—
1987C4—28no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—44no—
1992C4—44no—
1993C4—42no—
1994C4—41no—
1995C4—41no—
1996C4—42no—
1997C4—41no—
1998C4—41no—
1999C4—44no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—41no—
2005C4—41no—
2006C4—42no—
2007C4—42no—
2008C4C2×#54614yes—
2009C4C2×#54614yes—
2010C2—24no—
2011C2—44no—
2012C2—44no—
2013C2—42no—
2014C2—82no—
2015C2—82no—
2016C2—81no—
2017C2C22×#54611yescharacteristic
2018C2#6283011yescharacteristic
2019C2#6288811yescharacteristic
2020C2#6299311yescharacteristic
2021C2#6300211yescharacteristic
2022C2#6300211yescharacteristic
2023C2#6300911yescharacteristic
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×#3489C2semidirect
2. C2×#3507C2semidirect
3. #59421C2semidirect
4. #59418C2semidirect
5. #59417C2semidirect
6. #59416C2semidirect
7. #59091C2semidirect
8. #59088C2semidirect
9. #59025C2semidirect
10. #59024C2semidirect
11. #59019C2semidirect
12. #59014C2semidirect
13. #45336C2semidirect
14. #45307C2semidirect
15. #45269C2semidirect
16. #45258C2semidirect
17. #45236C2semidirect
18. #45114C2semidirect
19. #45113C2semidirect
20. #45057C2semidirect
21. #44513C2semidirect
22. #43998C2semidirect
23. #35661C2semidirect
24. #35660C2semidirect
25. #35618C2semidirect
26. #35564C2semidirect
27. #35519C2semidirect
28. #35518C2semidirect
29. #34813C2semidirect
30. #34738C2semidirect
31. C2×#2421C2semidirect
32. #34276C2semidirect
33. #34257C2semidirect
34. #34208C2semidirect
35. #34175C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#554C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
54. C2×#539C22semidirect
57. C2×#537C22semidirect
60. C2×#536C22semidirect
61. C2×#533C22semidirect
64. C2×#529C22semidirect
73. C2×#520C22semidirect
74. C2×#519C22semidirect
75. C22×C4×Q8C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2713C22semidirect
80. #2713C22semidirect
81. #2707C22semidirect
82. #2707C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
86. #2702C22semidirect
87. #2700C22semidirect
88. #2700C22semidirect
89. #2696C22semidirect
90. #2696C22semidirect
91. #2693C22semidirect
92. #2691C22semidirect
94. #2690C22semidirect
95. #2689C22semidirect
96. #2687C22semidirect
99. #2676C22semidirect
100. #2582C22semidirect
101. #2581C22semidirect
102. #2580C22semidirect
104. #2560C22semidirect
105. #2559C22semidirect
106. #2558C22semidirect
107. #2558C22semidirect
108. #2557C22semidirect
109. #2555C22semidirect
110. #2553C22semidirect
111. #2543C22semidirect
113. #2538C22semidirect
114. #2538C22semidirect
115. #2538C22semidirect
119. #2536C22semidirect
120. #2535C22semidirect
121. #2504C22semidirect
122. #2503C22semidirect
123. #2500C22semidirect
124. #2499C22semidirect
126. #2492C22semidirect
127. #2492C22semidirect
129. #2491C22semidirect
131. #2490C22semidirect
132. #2490C22semidirect
134. #2489C22semidirect
135. #2488C22semidirect
136. #2488C22semidirect
137. #2488C22semidirect
138. #2481C22semidirect
139. #2481C22semidirect
141. #2476C22semidirect
142. #2476C22semidirect
147. #2471C22semidirect
148. #2471C22semidirect
149. #2466C22semidirect
151. #2465C22semidirect
154. #2459C22semidirect
155. #2457C22semidirect
156. #2457C22semidirect
157. #2450C22semidirect
158. #2450C22semidirect
159. #2449C22semidirect
160. #2444C22semidirect
161. #2444C22semidirect
162. #2442C22semidirect
163. #2442C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2439C22semidirect
167. #2439C22semidirect
168. #2438C22semidirect
170. #2436C22semidirect
173. #2434C22semidirect
177. #2432C22semidirect
180. #2431C22semidirect
183. #2430C22semidirect
184. #2430C22semidirect
186. #2429C22semidirect
187. #2429C22semidirect
188. #2428C22semidirect
190. #2427C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2425C22semidirect
202. #2421C22semidirect
203. #2421C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
216. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2413C22semidirect
224. #2409C22semidirect
225. #2409C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
229. #2398C22semidirect
230. C2×#400C22semidirect
234. #2364C22semidirect
235. #2364C22semidirect
236. #2364C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2359C22semidirect
244. #2359C22semidirect
245. #2352C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
251. #2341C22semidirect
252. #2341C22semidirect
253. #2341C22semidirect
254. #2341C22semidirect
256. Q8×C22⋊C4C22semidirect
257. Q8×C22⋊C4C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
264. #2328C22semidirect
265. #2327C22semidirect
266. #2327C22semidirect
267. #2326C22semidirect
268. #2317C22semidirect
269. #2317C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×#124C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
293. C2×#387C22semidirect
294. C2×#382C22semidirect
299. C4×#117C22semidirect
346. #536D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35072
#594212
#594182
#594172
#594162
#590912
#590882
#590252
#590242
#590192
#590142
#453362
#453072
#452692
#452582
#452362
#451142
#451132
#450572
#445132
#439982
#356612
#356602
#356182
#355642
#355192
#355182
#348132
#347382
C2×#24212
#342762
#342572
#342082
#341752