Finite Group Databasebeta

← #7652088

Subgroups — #7652088

Order 512.

8485 conjugacy classes of subgroups.

The subgroup lattice has 2119 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3497C211yesmaximal, characteristic, complemented
3#42984C212yesmaximal, complemented
4#42950C212yesmaximal, complemented
5#42927C212yesmaximal, complemented
6#42909C212yesmaximal, complemented
7#42806C212yesmaximal, complemented
8#42806C212yesmaximal, complemented
9#42796C212yesmaximal, complemented
10#42786C212yesmaximal, complemented
11#41952C214yesmaximal, complemented
12#41937C214yesmaximal, complemented
13#39957C212yesmaximal, complemented
14#39956C212yesmaximal, complemented
15#39861C212yesmaximal, complemented
16#39860C212yesmaximal, complemented
17#39743C212yesmaximal, complemented
18#39615C212yesmaximal, complemented
19#39595C212yesmaximal, complemented
20#39133C212yesmaximal, complemented
21#38369C214yesmaximal, complemented
22#38368C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35659C211yesmaximal, characteristic, complemented
25#35564C211yesmaximal, characteristic, complemented
26#35530C211yesmaximal, characteristic, complemented
27#35518C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35273C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34738C211yesmaximal, characteristic, complemented
34C2×#2423C211yesmaximal, characteristic, complemented
35#34259C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic, complemented
38C23×#41C2211yescharacteristic
39#3497—216no—
40#3489—216no—
41C2×#550C2212yescomplemented
42C2×#550C2212yescomplemented
43C2×D4×Q8C2212yes—
44C2×D4×Q8C2212yescomplemented
45C2×D4×Q8C2212yescomplemented
46C2×#548C2212yes—
47C2×#548C2212yescomplemented
48C2×#548C2212yescomplemented
49C2×#548C2212yescomplemented
50C2×#548C2212yescomplemented
51C2×#547C2212yes—
52C2×#547C2214yes—
53C2×#546C2212yes—
54C2×#546C2214yes—
55C2×#537C2211yescharacteristic
56C2×#537C2212yes—
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic
59C2×#537C2211yescharacteristic, complemented
60C2×#537C2214yescomplemented
61C2×#536C2212yes—
62C2×#536C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2214yescomplemented
67C2×#525C2212yes—
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C22×C22⋊Q8C2211yescharacteristic
72C22×C22⋊Q8C2212yes—
73C2×#520C2211yescharacteristic
74C2×#520C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×Q8C2211yescharacteristic, complemented
77#2857C2212yescomplemented
78#2856C2212yescomplemented
79#2853C2214yescomplemented
80#2848C2212yes—
81#2847C2212yes—
82#2816C2214yescomplemented
83#2816C2214yescomplemented
84#2814C2214yescomplemented
85#2813C2214yescomplemented
86#2734C2214yescomplemented
87#2733C2214yescomplemented
88#2732C2214yes—
89#2732C2214yes—
90#2732C2214yescomplemented
91#2732C2214yescomplemented
92#2731C2214yescomplemented
93#2731C2214yescomplemented
94#2730C2214yes—
95#2730C2214yescomplemented
96#2730C2214yescomplemented
97#2730C2214yescomplemented
98#2729C2214yes—
99#2729C2214yescomplemented
100#2729C2214yescomplemented
101#2729C2214yescomplemented
102#2717C2214yescomplemented
103#2709C2214yescomplemented
104#2708C2214yescomplemented
105#2708C2214yescomplemented
106#2686C2214yescomplemented
107#2686C2214yescomplemented
108#2684C2214yes—
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2669C2214yes—
116#2668C2214yes—
117#2668C2214yes—
118#2663C2214yescomplemented
119#2661C2214yescomplemented
120#2659C2214yescomplemented
121#2656C2214yescomplemented
122#2638C2214yescomplemented
123#2638C2214yescomplemented
124#2635C2214yes—
125#2635C2214yescomplemented
126#2630C2214yescomplemented
127#2630C2214yescomplemented
128#2626C2214yes—
129#2623C2214yescomplemented
130#2620C2212yescomplemented
131#2620C2212yescomplemented
132#2618C2214yescomplemented
133#2616C2212yes—
134#2615C2212yes—
135#2602C2214yescomplemented
136#2602C2214yescomplemented
137#2600C2214yes—
138#2600C2214yescomplemented
139#2583C2214yescomplemented
140#2579C2214yescomplemented
141#2564C2214yes—
142#2564C2214yescomplemented
143#2543C2214yescomplemented
144#2543C2214yescomplemented
145#2543C2214yescomplemented
146#2539C2214yes—
147#2538C2212yes—
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2537C2212yescomplemented
151#2537C2212yescomplemented
152#2537C2212yescomplemented
153#2536C2212yescomplemented
154#2535C2212yes—
155#2534C2214yes—
156#2502C2212yescomplemented
157#2501C2212yescomplemented
158#2500C2212yescomplemented
159#2499C2212yescomplemented
160#2487C2212yescomplemented
161#2486C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2446C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2445C2212yescomplemented
172#2444C2214yescomplemented
173#2443C2214yescomplemented
174#2443C2214yescomplemented
175#2443C2214yescomplemented
176#2436C2211yescharacteristic
177#2436C2212yescomplemented
178#2435C2211yescharacteristic
179#2434C2211yescharacteristic
180#2434C2212yescomplemented
181#2433C2211yescharacteristic
182#2432C2211yescharacteristic
183#2432C2211yescharacteristic
184#2432C2212yescomplemented
185#2431C2211yescharacteristic
186#2431C2211yescharacteristic
187#2431C2212yescomplemented
188#2430C2212yes—
189#2430C2212yes—
190#2430C2214yes—
191#2430C2214yescomplemented
192#2430C2214yescomplemented
193#2429C2211yescharacteristic
194#2429C2211yescharacteristic, complemented
195#2429C2212yescomplemented
196#2428C2211yescharacteristic
197#2428C2211yescharacteristic, complemented
198#2428C2212yescomplemented
199#2427C2211yescharacteristic
200#2427C2212yescomplemented
201#2427C2211yescharacteristic, complemented
202#2426C2211yescharacteristic
203#2426C2211yescharacteristic, complemented
204#2426C2212yescomplemented
205#2425C2212yescomplemented
206#2425C2212yescomplemented
207#2425C2214yescomplemented
208#2424C2212yes—
209#2424C2212yes—
210#2424C2214yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yescomplemented
216#2423C2212yescomplemented
217#2423C2212yescomplemented
218#2423C2212yescomplemented
219#2423C2212yescomplemented
220#2423C2212yescomplemented
221#2423C2212yescomplemented
222#2423C2212yescomplemented
223#2422C2212yescomplemented
224#2422C2212yescomplemented
225#2421C2212yescomplemented
226#2421C2212yescomplemented
227#2417C2212yes—
228#2417C2212yescomplemented
229#2416C2212yescomplemented
230#2416C2212yescomplemented
231#2416C2214yescomplemented
232#2416C2214yescomplemented
233#2416C2214yescomplemented
234#2415C2212yescomplemented
235#2415C2212yescomplemented
236#2414C2212yes—
237#2414C2212yescomplemented
238#2410C2212yes—
239#2410C2212yes—
240#2410C2214yes—
241#2409C2212yes—
242#2409C2212yes—
243#2409C2212yes—
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2408C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2406C2214yescomplemented
258#2404C2214yes—
259C2×#399C2212yes—
260#2392C2212yes—
261#2392C2212yescomplemented
262C2×#398C2212yescomplemented
263#2388C2212yes—
264#2388C2212yes—
265Q8×C22⋊C4C2212yescomplemented
266Q8×C22⋊C4C2212yescomplemented
267#2339C2212yescomplemented
268#2339C2212yescomplemented
269#2339C2214yescomplemented
270#2339C2214yescomplemented
271#2325C2214yes—
272#2325C2214yescomplemented
273#2322C2214yescomplemented
274#2321C2214yes—
275#2317C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic, complemented
279#2311C2211yescharacteristic, complemented
280#2311C2211yescharacteristic, complemented
281#2311C2212yescomplemented
282#2310C2212yescomplemented
283#2310C2211yescharacteristic, complemented
284C4×#121C2212yes—
285C4×#121C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yes—
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2297C2212yescomplemented
291#2297C2211yescharacteristic, complemented
292#2296C2211yescharacteristic, complemented
293C2×#391C2212yescomplemented
294C2×#391C2211yescharacteristic, complemented
295C2×#389C2211yescharacteristic, complemented
296C2×#388C2212yes—
297C2×#387C2212yescomplemented
298C2×#384C2211yescharacteristic, complemented
299C2×#380C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—44no—
303C2×2−1+4—44no—
304C2×2−1+4—44no—
305C2×2−1+4—44no—
306C2×2−1+4D4116yescomplemented
307C22×#41—28no—
308C22×#41—44no—
309C22×#41—44no—
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2311yescharacteristic
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2312yes—
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C22×#41C2312yes—
319C22×#41C2314yes—
320C22×#41C2312yes—
321C22×#41C2312yes—
322C22×#41C2312yes—
323C22×#41C2312yes—
324C22×#41C2314yes—
325C23×Q8C2311yescharacteristic
326C23×Q8C2311yescharacteristic
327C23×Q8C2312yes—
328C23×Q8C2312yes—
329C23×Q8C2312yes—
330C23×Q8C2312yes—
331C23×D4C2311yescharacteristic
332C23×D4C2312yes—
333C24×C4C2311yescharacteristic
334C24×C4C2312yes—
335#550—216no—
336#550—216no—
337D4×Q8—216no—
338D4×Q8—216no—
339D4×Q8—216no—
340#548—216no—
341#548—216no—
342#548—216no—
343#548—216no—
344#548—216no—
345#547—232no—
346#547—216no—
347#546—232no—
348#546—216no—
349#537—28no—
350#537—216no—
351#537—28no—
352#537—28no—
353#537—232no—
354#537—44no—
355#536—28no—
356#536—216no—
357#532—28no—
358#532—28no—
359#532—232no—
360#532—44no—
361C2×C4⋊Q8C2311yescharacteristic
362C2×C4⋊Q8C2311yescharacteristic
363C2×C4⋊Q8C2314yes—
364C2×C4⋊Q8C2312yes—
365C2×C4⋊Q8C2314yes—
366C2×C4⋊Q8C2311yescharacteristic
367C2×#127C2314yes—
368C2×#127C2311yescharacteristic
369C2×#127C2311yescharacteristic
370C2×#127C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381#525—28no—
382#525—216no—
383#525—44no—
384#525—44no—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8—28no—
396C2×C22⋊Q8—216no—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2314yes—
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#120C2312yes—
462C2×#120C2314yes—
463C2×#120C2312yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2314yes—
468#520—28no—
469#520—44no—
470C4×#41—44no—
471C2×C4×Q8—28no—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2314yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2311yescharacteristic
526C22×C22⋊C4C2311yescharacteristic
527C22×C22⋊C4C2312yes—
528C22×C42C2312yes—
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2312yes—
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2312yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2312yes—
556#398C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2312yes—
579#396C2312yes—
580#395C2314yes—
581#395C2312yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2312yes—
586#395C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2314yes—
620#393C2312yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#393C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2312yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2312yes—
634#392C2312yes—
635#392C2314yes—
636#392C2312yes—
637#392C2312yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#391C2312yes—
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2314yes—
652#391C2314yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2314yes—
660#391C2314yes—
661#391C2311yescharacteristic
662#391C2311yescharacteristic
663#391C2311yescharacteristic
664#391C2311yescharacteristic
665#391C2312yes—
666#391C2311yescharacteristic
667#390C2312yes—
668#390C2312yes—
669#390C2311yescharacteristic
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2314yes—
678#390C2311yescharacteristic
679#390C2311yescharacteristic
680#390C2311yescharacteristic
681#390C2311yescharacteristic
682#390C2311yescharacteristic
683#390C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2311yescharacteristic
695#389C2311yescharacteristic
696#389C2312yes—
697#389C2312yes—
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
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#388C2312yes—
719#388C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#386C2314yes—
762#386C2314yes—
763#386C2312yes—
764#386C2312yes—
765#386C2314yes—
766#386C2312yes—
767#386C2314yes—
768#386C2312yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#386C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2314yes—
787#385C2314yes—
788#385C2312yes—
789#385C2314yes—
790#385C2312yes—
791#385C2314yes—
792#385C2312yes—
793#385C2314yes—
794#385C2312yes—
795#385C2312yes—
796#384C2312yes—
797#384C2312yes—
798#384C2312yes—
799#384C2312yes—
800#384C2312yes—
801#382C2312yes—
802#381C2314yes—
803#381C2314yes—
804#381C2314yes—
805#381C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#379C2314yes—
829#379C2312yes—
830#379C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C2×#95C2314yes—
850C2×#95C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2311yescharacteristic
854C2×#95C2312yes—
855C2×#95C2311yescharacteristic
856C2×#95C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
8592−1+4—464no—
8602−1+4—464no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—48no—
886C2×#41—48no—
887C2×#41—48no—
888C2×#41—48no—
889C2×#41—42no—
890C2×#41—42no—
891C2×#41—42no—
892C2×#41—42no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—44no—
896C2×#41—44no—
897C2×#41—44no—
898C2×#41—44no—
899C2×#41—44no—
900C2×#41—44no—
901C2×#41—464no—
902C2×#41C2×D418yes—
903C2×#41C2×D418yes—
904C2×#41C2×D4116yes—
905C2×#41C2×D4132yes—
906C2×#41C2×D4116yes—
907C22×Q8—28no—
908C22×Q8—28no—
909C22×Q8—24no—
910C22×Q8—24no—
911C22×Q8—24no—
912C22×Q8—42no—
913C22×Q8—42no—
914C22×Q8—44no—
915C22×Q8—44no—
916C22×Q8—44no—
917C22×Q8—44no—
918C22×Q8—44no—
919C22×Q8—44no—
920C22×Q8—44no—
921C22×Q8—44no—
922C22×Q8C2×D418yes—
923C22×Q8C2×D4116yes—
924C22×Q8C2×D4116yes—
925C22×Q8C2411yescharacteristic
926C22×Q8C2411yescharacteristic
927C22×Q8C2411yescharacteristic
928C22×Q8C2411yescharacteristic
929C22×Q8C2412yes—
930C22×Q8C2412yes—
931C22×Q8C2411yescharacteristic
932C22×Q8C2414yes—
933C22×Q8C2412yes—
934C22×Q8C2414yes—
935C22×D4—28no—
936C22×D4—24no—
937C22×D4—42no—
938C22×D4—42no—
939C22×D4—44no—
940C22×D4—44no—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2411yescharacteristic
945C22×D4C2411yescharacteristic
946C22×D4C2411yescharacteristic
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2412yes—
950C22×D4C2412yes—
951C22×D4C2411yescharacteristic
952C22×D4C2412yes—
953C22×D4C2411yescharacteristic
954C22×D4C2412yes—
955C22×D4C2412yes—
956C22×D4C2414yes—
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2414yes—
960C22×D4C2412yes—
961C22×D4C2412yes—
962C22×D4C2414yes—
963C22×D4C2412yes—
964C22×D4C2412yes—
965C22×D4C2412yes—
966C22×D4C2412yes—
967C22×D4C2414yes—
968C22×D4C2412yes—
969C22×D4C2412yes—
970C22×D4C2414yes—
971C22×D4C2414yes—
972C23×C4—28no—
973C23×C4—24no—
974C23×C4—24no—
975C23×C4—24no—
976C23×C4—44no—
977C23×C4—44no—
978C23×C4C2411yescharacteristic
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2411yescharacteristic
982C23×C4C2411yescharacteristic
983C23×C4C2411yescharacteristic
984C23×C4C2411yescharacteristic
985C23×C4C2412yes—
986C23×C4C2411yescharacteristic
987C23×C4C2411yescharacteristic
988C23×C4C2411yescharacteristic
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2412yes—
992C23×C4C2412yes—
993C23×C4C2411yescharacteristic
994C23×C4C2412yes—
995C23×C4C2414yes—
996C23×C4C2412yes—
997C23×C4C2412yes—
998C23×C4C2412yes—
999C23×C4C2412yes—
1000C23×C4C2414yes—
1001C23×C4C2414yes—
1002C23×C4C2412yes—
1003C23×C4C2412yes—
1004C23×C4C2414yes—
1005C23×C4C2414yes—
1006C23×C4C2414yes—
1007C23×C4C2411yescharacteristic
1008C4⋊Q8—24no—
1009C4⋊Q8—24no—
1010C4⋊Q8—216no—
1011C4⋊Q8—28no—
1012C4⋊Q8—216no—
1013C4⋊Q8—42no—
1014#127—24no—
1015#127—24no—
1016#127—216no—
1017#127—42no—
1018#124—24no—
1019#124—24no—
1020#124—216no—
1021#124—28no—
1022#124—216no—
1023#124—24no—
1024#124—24no—
1025#124—216no—
1026#124—42no—
1027#124—42no—
1028#123—28no—
1029#123—216no—
1030#123—216no—
1031#123—216no—
1032#123—216no—
1033#123—48no—
1034#123—44no—
1035#123—44no—
1036#123—84no—
1037#123—84no—
1038C22⋊Q8—28no—
1039C22⋊Q8—24no—
1040C22⋊Q8—28no—
1041C22⋊Q8—28no—
1042C22⋊Q8—28no—
1043C22⋊Q8—28no—
1044C22⋊Q8—216no—
1045C22⋊Q8—28no—
1046C22⋊Q8—216no—
1047C22⋊Q8—28no—
1048C22⋊Q8—24no—
1049C22⋊Q8—28no—
1050C22⋊Q8—28no—
1051C22⋊Q8—216no—
1052C22⋊Q8—216no—
1053C22⋊Q8—28no—
1054C22⋊Q8—216no—
1055C22⋊Q8—28no—
1056C22⋊Q8—28no—
1057C22⋊Q8—216no—
1058C22⋊Q8—216no—
1059C22⋊Q8—42no—
1060C22⋊Q8—42no—
1061C22⋊Q8—42no—
1062C22⋊Q8—42no—
1063C22⋊Q8—44no—
1064C22⋊Q8—44no—
1065#121—24no—
1066#121—28no—
1067#121—24no—
1068#121—28no—
1069#121—28no—
1070#121—28no—
1071#121—216no—
1072#121—216no—
1073#121—28no—
1074#121—216no—
1075#121—216no—
1076#121—216no—
1077#121—28no—
1078#121—28no—
1079#121—216no—
1080#121—216no—
1081#121—28no—
1082#121—216no—
1083#121—28no—
1084#121—28no—
1085#121—216no—
1086#121—216no—
1087#121—28no—
1088#121—44no—
1089#121—48no—
1090#121—42no—
1091#121—42no—
1092#121—42no—
1093#121—42no—
1094#121—44no—
1095#121—44no—
1096#121—44no—
1097#121—44no—
1098#121—48no—
1099#121—84no—
1100#121—84no—
1101#121—84no—
1102#120—28no—
1103#120—216no—
1104#120—28no—
1105#120—44no—
1106#120—44no—
1107#120—44no—
1108#120—84no—
1109C4×Q8—28no—
1110C4×Q8—28no—
1111C4×Q8—28no—
1112C4×Q8—28no—
1113C4×Q8—28no—
1114C4×Q8—42no—
1115C4×Q8—42no—
1116C4×Q8—44no—
1117C4×D4—216no—
1118C4×D4—28no—
1119C4×D4—28no—
1120C4×D4—216no—
1121C4×D4—28no—
1122C4×D4—216no—
1123C4×D4—28no—
1124C4×D4—28no—
1125C4×D4—216no—
1126C4×D4—216no—
1127C4×D4—28no—
1128C4×D4—28no—
1129C4×D4—216no—
1130C4×D4—216no—
1131C4×D4—42no—
1132C4×D4—42no—
1133C4×D4—44no—
1134C4×D4—44no—
1135C4×D4—44no—
1136C4×D4—44no—
1137C4×D4—44no—
1138C4×D4—44no—
1139C4×D4—44no—
1140C4×D4—44no—
1141C4×D4—44no—
1142C4×D4—48no—
1143#117—28no—
1144#117—24no—
1145#117—24no—
1146#117—24no—
1147#117—44no—
1148#117—44no—
1149C2×C4⋊C4—28no—
1150C2×C4⋊C4—24no—
1151C2×C4⋊C4—28no—
1152C2×C4⋊C4—24no—
1153C2×C4⋊C4—28no—
1154C2×C4⋊C4—216no—
1155C2×C4⋊C4—24no—
1156C2×C4⋊C4—44no—
1157C2×C4⋊C4—44no—
1158C2×C4⋊C4—82no—
1159C2×C4⋊C4—82no—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2414yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2414yes—
1209C2×C4⋊C4C2412yes—
1210C2×C22⋊C4—28no—
1211C2×C22⋊C4—216no—
1212C2×C22⋊C4—24no—
1213C2×C22⋊C4—42no—
1214C2×C22⋊C4—82no—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2411yescharacteristic
1254C2×C22⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2411yescharacteristic
1290C2×C42—28no—
1291C2×C42—24no—
1292C2×C42—24no—
1293C2×C42—44no—
1294C2×C42C2412yes—
1295C2×C42C2411yescharacteristic
1296C2×C42C2412yes—
1297C2×C42C2414yes—
1298C2×C42C2412yes—
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2414yes—
1304C2×C42C2411yescharacteristic
1305C2×C42C2411yescharacteristic
1306C2×C42C2414yes—
1307C2×C42C2411yescharacteristic
1308C2×C42C2414yes—
1309C2×C42C2412yes—
1310C2×C42C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2411yescharacteristic
1316#95C2411yescharacteristic
1317#95C2411yescharacteristic
1318#95C2411yescharacteristic
1319#95C2411yescharacteristic
1320#95C2411yescharacteristic
1321#95C2411yescharacteristic
1322#95C2411yescharacteristic
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2414yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2414yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2414yes—
1350#95C2414yes—
1351#95C2414yes—
1352#95C2414yes—
1353#95C2414yes—
1354#95C2414yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358#95C2414yes—
1359C24—22no—
1360C24—24no—
1361C24—22no—
1362C24—22no—
1363C24—22no—
1364C24—24no—
1365C24—41no—
1366C24—41no—
1367C24—42no—
1368C24—42no—
1369C24—41no—
1370C24—42no—
1371C24—42no—
1372C24—42no—
1373C24C2511yescharacteristic
1374C24C2512yes—
1375C24C2512yes—
1376C24C2512yes—
1377C24C2512yes—
1378C24C2512yes—
1379C24C2511yescharacteristic
1380C24C2511yescharacteristic
1381#41—232no—
1382#41—232no—
1383#41—464no—
1384#41—432no—
1385#41—432no—
1386#41—432no—
1387#41—464no—
1388#41—432no—
1389#41—416no—
1390#41—416no—
1391#41—432no—
1392#41—432no—
1393#41—416no—
1394#41—416no—
1395#41—416no—
1396C2×Q8—232no—
1397C2×Q8—28no—
1398C2×Q8—22no—
1399C2×Q8—22no—
1400C2×Q8—24no—
1401C2×Q8—22no—
1402C2×Q8—22no—
1403C2×Q8—22no—
1404C2×Q8—24no—
1405C2×Q8—24no—
1406C2×Q8—24no—
1407C2×Q8—24no—
1408C2×Q8—22no—
1409C2×Q8—22no—
1410C2×Q8—22no—
1411C2×Q8—22no—
1412C2×Q8—22no—
1413C2×Q8—22no—
1414C2×Q8—22no—
1415C2×Q8—22no—
1416C2×Q8—44no—
1417C2×Q8—44no—
1418C2×Q8—44no—
1419C2×Q8—44no—
1420C2×Q8—42no—
1421C2×Q8—42no—
1422C2×Q8—432no—
1423C2×Q8—432no—
1424C2×Q8—416no—
1425C2×Q8—432no—
1426C2×Q8—432no—
1427C2×Q8C22×D418yes—
1428C2×Q8C22×D418yes—
1429C2×Q8C22×D414yes—
1430C2×Q8C22×D414yes—
1431C2×Q8C22×D4116yes—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—24no—
1450C2×D4—24no—
1451C2×D4—24no—
1452C2×D4—28no—
1453C2×D4—24no—
1454C2×D4—28no—
1455C2×D4—24no—
1456C2×D4—28no—
1457C2×D4—24no—
1458C2×D4—24no—
1459C2×D4—24no—
1460C2×D4—22no—
1461C2×D4—28no—
1462C2×D4—22no—
1463C2×D4—22no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—22no—
1467C2×D4—22no—
1468C2×D4—22no—
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—22no—
1474C2×D4—24no—
1475C2×D4—24no—
1476C2×D4—24no—
1477C2×D4—24no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
1486C2×D4—42no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—42no—
1498C2×D4—42no—
1499C2×D4—42no—
1500C2×D4—44no—
1501C2×D4—42no—
1502C2×D4—42no—
1503C2×D4—42no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—42no—
1512C2×D4—44no—
1513C2×D4—42no—
1514C2×D4—42no—
1515C2×D4—42no—
1516C2×D4—42no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—432no—
1521C2×D4—416no—
1522C2×D4C22×D418yes—
1523C2×D4C22×D414yes—
1524C2×D4C22×D418yes—
1525C2×D4C22×D414yes—
1526C2×D4C22×D4116yes—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—22no—
1538C22×C4—22no—
1539C22×C4—22no—
1540C22×C4—22no—
1541C22×C4—24no—
1542C22×C4—28no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—28no—
1546C22×C4—28no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—22no—
1551C22×C4—24no—
1552C22×C4—22no—
1553C22×C4—22no—
1554C22×C4—22no—
1555C22×C4—24no—
1556C22×C4—22no—
1557C22×C4—22no—
1558C22×C4—22no—
1559C22×C4—22no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—24no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4—44no—
1589C22×C4—44no—
1590C22×C4—44no—
1591C22×C4—44no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—44no—
1603C22×C4—44no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—44no—
1607C22×C4—44no—
1608C22×C4—44no—
1609C22×C4—432no—
1610C22×C4—416no—
1611C22×C4C22×D418yes—
1612C22×C4C22×D418yes—
1613C22×C4C22×D418yes—
1614C22×C4C22×D4116yes—
1615C22×C4C22×D4116yes—
1616C22×C4C22×D414yes—
1617C22×C4H(5,𝔽2)14yes—
1618C22×C4H(5,𝔽2)14yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2514yes—
1624C22×C4C2511yescharacteristic
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2511yescharacteristic
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2514yes—
1636C22×C4C2512yes—
1637C22×C4C2514yes—
1638C22×C4C2512yes—
1639C22×C4C2514yes—
1640C22×C4C2512yes—
1641C22×C4C2511yescharacteristic
1642C22×C4C2511yescharacteristic
1643C22×C4C2511yescharacteristic
1644C22×C4C2511yescharacteristic
1645C22×C4C2511yescharacteristic
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—28no—
1649C4⋊C4—24no—
1650C4⋊C4—28no—
1651C4⋊C4—24no—
1652C4⋊C4—28no—
1653C4⋊C4—28no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—28no—
1657C4⋊C4—28no—
1658C4⋊C4—28no—
1659C4⋊C4—22no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—28no—
1663C4⋊C4—24no—
1664C4⋊C4—28no—
1665C4⋊C4—24no—
1666C4⋊C4—28no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—22no—
1671C4⋊C4—22no—
1672C4⋊C4—22no—
1673C4⋊C4—22no—
1674C4⋊C4—24no—
1675C4⋊C4—28no—
1676C4⋊C4—44no—
1677C4⋊C4—44no—
1678C4⋊C4—44no—
1679C4⋊C4—44no—
1680C4⋊C4—44no—
1681C4⋊C4—44no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—44no—
1693C4⋊C4—44no—
1694C4⋊C4—44no—
1695C4⋊C4—42no—
1696C22⋊C4—28no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—28no—
1702C22⋊C4—24no—
1703C22⋊C4—28no—
1704C22⋊C4—24no—
1705C22⋊C4—28no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—22no—
1710C22⋊C4—28no—
1711C22⋊C4—24no—
1712C22⋊C4—28no—
1713C22⋊C4—28no—
1714C22⋊C4—28no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—28no—
1718C22⋊C4—24no—
1719C22⋊C4—28no—
1720C22⋊C4—24no—
1721C22⋊C4—28no—
1722C22⋊C4—24no—
1723C22⋊C4—22no—
1724C22⋊C4—22no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—22no—
1729C22⋊C4—22no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—41no—
1733C22⋊C4—41no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—44no—
1739C22⋊C4—42no—
1740C22⋊C4—44no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—44no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—44no—
1758C22⋊C4—44no—
1759C22⋊C4—44no—
1760C22⋊C4—44no—
1761C22⋊C4—44no—
1762C22⋊C4—44no—
1763C22⋊C4—42no—
1764C22⋊C4—44no—
1765C22⋊C4—44no—
1766C22⋊C4—44no—
1767C22⋊C4—44no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C42−1+414yescomplemented
1771C42—28no—
1772C42—22no—
1773C42—22no—
1774C42—28no—
1775C42—22no—
1776C42—22no—
1777C42—28no—
1778C42—24no—
1779C42—22no—
1780C42—22no—
1781C42—22no—
1782C42—22no—
1783C42—24no—
1784C42—24no—
1785C42—42no—
1786C42—42no—
1787C42—44no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—22no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—21no—
1802C23—22no—
1803C23—22no—
1804C23—21no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—21no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—21no—
1815C23—21no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—21no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—21no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—21no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—21no—
1838C23—44no—
1839C23—44no—
1840C23—44no—
1841C23—48no—
1842C23—48no—
1843C23—44no—
1844C23—82no—
1845C23—82no—
1846C23—82no—
1847C23—84no—
1848C23—84no—
1849C23—84no—
1850C23—84no—
1851C23—84no—
1852C23C23×D414yes—
1853C23C23×D414yes—
1854C23C23×D412yes—
1855C23C2×H(5,𝔽2)12yes—
1856C23C2×H(5,𝔽2)12yes—
1857C23C2×2−1+412yes—
1858C23C2611yescharacteristic
1859Q8—216no—
1860Q8—216no—
1861Q8—28no—
1862Q8—28no—
1863Q8—416no—
1864Q8—416no—
1865Q8—48no—
1866Q8—44no—
1867Q8—44no—
1868Q8—44no—
1869D4—216no—
1870D4—216no—
1871D4—28no—
1872D4—28no—
1873D4—416no—
1874D4—48no—
1875D4—48no—
1876D4—48no—
1877D4—416no—
1878D4—48no—
1879D4—48no—
1880D4—48no—
1881D4—48no—
1882D4—48no—
1883D4—48no—
1884D4—44no—
1885D4—44no—
1886D4—44no—
1887D4—84no—
1888D4—84no—
1889D4—84no—
1890D4—88no—
1891D4—84no—
1892D4—88no—
1893D4—84no—
1894D4—88no—
1895D4—84no—
1896D4—84no—
1897D4—84no—
1898D4—84no—
1899D4—164no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—24no—
1908C2×C4—24no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—216no—
1913C2×C4—216no—
1914C2×C4—216no—
1915C2×C4—21no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—24no—
1920C2×C4—22no—
1921C2×C4—24no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—24no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—24no—
1955C2×C4—21no—
1956C2×C4—24no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—24no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—24no—
1963C2×C4—24no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—24no—
1971C2×C4—22no—
1972C2×C4—416no—
1973C2×C4—416no—
1974C2×C4—44no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—48no—
1978C2×C4—48no—
1979C2×C4—416no—
1980C2×C4—416no—
1981C2×C4—48no—
1982C2×C4—44no—
1983C2×C4—44no—
1984C2×C4—44no—
1985C2×C4—44no—
1986C2×C4—44no—
1987C2×C4—48no—
1988C2×C4—48no—
1989C2×C4—48no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—88no—
1994C2×C4—82no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—164no—
1998C2×C4#534116yes—
1999C2×C4C23×D414yes—
2000C2×C4C23×D418yes—
2001C2×C4C23×D414yes—
2002C2×C4C23×D412yes—
2003C2×C4C23×D412yes—
2004C2×C4C2×H(5,𝔽2)12yes—
2005C2×C4C2×H(5,𝔽2)12yes—
2006C2×C4C2×H(5,𝔽2)12yes—
2007C2×C4C2×H(5,𝔽2)12yes—
2008C2×C4C2×2−1+412yes—
2009C2×C4C2×2−1+412yes—
2010C2×C4#58512yes—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—24no—
2019C22—24no—
2020C22—24no—
2021C22—24no—
2022C22—22no—
2023C22—24no—
2024C22—24no—
2025C22—22no—
2026C22—41no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—41no—
2032C22—41no—
2033C22—42no—
2034C22—42no—
2035C22—41no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—41no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—41no—
2049C22—42no—
2050C22—41no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—41no—
2058C22—41no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—41no—
2066C22—88no—
2067C22—816no—
2068C22C2×#53414yes—
2069C22C24×D411yescharacteristic
2070C22C22×H(5,𝔽2)11yescharacteristic
2071C22C22×H(5,𝔽2)11yescharacteristic
2072C22C22×2−1+411yescharacteristic
2073C22C2×#58511yescharacteristic
2074C22H(7,𝔽2)11yescharacteristic
2075C222−1+611yescharacteristic
2076C4—22no—
2077C4—24no—
2078C4—28no—
2079C4—24no—
2080C4—22no—
2081C4—22no—
2082C4—41no—
2083C4—42no—
2084C4—42no—
2085C4—44no—
2086C4—41no—
2087C4—41no—
2088C4—44no—
2089C4—42no—
2090C4—44no—
2091C4—42no—
2092C4—41no—
2093C4—41no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—41no—
2098C4—42no—
2099C4—41no—
2100C4—42no—
2101C4C2×#53414yes—
2102C4C2×#53414yes—
2103C2—24no—
2104C2—44no—
2105C2—44no—
2106C2—42no—
2107C2—82no—
2108C2—82no—
2109C2—81no—
2110C2—82no—
2111C2C22×#53411yescharacteristic
2112C2#6283511yescharacteristic
2113C2#6287811yescharacteristic
2114C2#6292711yescharacteristic
2115C2#6294411yescharacteristic
2116C2D4×2−1+411yescharacteristic
2117C2#6300311yescharacteristic
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×#3497C2semidirect
3. #42984C2semidirect
4. #42950C2semidirect
5. #42927C2semidirect
6. #42909C2semidirect
7. #42806C2semidirect
8. #42806C2semidirect
9. #42796C2semidirect
10. #42786C2semidirect
11. #41952C2semidirect
12. #41937C2semidirect
13. #39957C2semidirect
14. #39956C2semidirect
15. #39861C2semidirect
16. #39860C2semidirect
17. #39743C2semidirect
18. #39615C2semidirect
19. #39595C2semidirect
20. #39133C2semidirect
21. #38369C2semidirect
22. #38368C2semidirect
23. #35660C2semidirect
24. #35659C2semidirect
25. #35564C2semidirect
26. #35530C2semidirect
27. #35518C2semidirect
28. #35517C2semidirect
29. #35273C2semidirect
30. #35251C2semidirect
31. #35182C2semidirect
32. #34743C2semidirect
33. #34738C2semidirect
34. C2×#2423C2semidirect
35. #34259C2semidirect
37. C22×2−1+4C22semidirect
41. C2×#550C22semidirect
42. C2×#550C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×D4×Q8C22semidirect
47. C2×#548C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
50. C2×#548C22semidirect
59. C2×#537C22semidirect
60. C2×#537C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
74. C2×#520C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×Q8C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2853C22semidirect
82. #2816C22semidirect
83. #2816C22semidirect
84. #2814C22semidirect
85. #2813C22semidirect
86. #2734C22semidirect
87. #2733C22semidirect
90. #2732C22semidirect
91. #2732C22semidirect
92. #2731C22semidirect
93. #2731C22semidirect
95. #2730C22semidirect
96. #2730C22semidirect
97. #2730C22semidirect
99. #2729C22semidirect
100. #2729C22semidirect
101. #2729C22semidirect
102. #2717C22semidirect
103. #2709C22semidirect
104. #2708C22semidirect
105. #2708C22semidirect
106. #2686C22semidirect
107. #2686C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
118. #2663C22semidirect
119. #2661C22semidirect
120. #2659C22semidirect
121. #2656C22semidirect
122. #2638C22semidirect
123. #2638C22semidirect
125. #2635C22semidirect
126. #2630C22semidirect
127. #2630C22semidirect
129. #2623C22semidirect
130. #2620C22semidirect
131. #2620C22semidirect
132. #2618C22semidirect
135. #2602C22semidirect
136. #2602C22semidirect
138. #2600C22semidirect
139. #2583C22semidirect
140. #2579C22semidirect
142. #2564C22semidirect
143. #2543C22semidirect
144. #2543C22semidirect
145. #2543C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2536C22semidirect
156. #2502C22semidirect
157. #2501C22semidirect
158. #2500C22semidirect
159. #2499C22semidirect
160. #2487C22semidirect
161. #2486C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2446C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2445C22semidirect
172. #2444C22semidirect
173. #2443C22semidirect
174. #2443C22semidirect
175. #2443C22semidirect
177. #2436C22semidirect
180. #2434C22semidirect
184. #2432C22semidirect
187. #2431C22semidirect
191. #2430C22semidirect
192. #2430C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2425C22semidirect
206. #2425C22semidirect
207. #2425C22semidirect
215. #2423C22semidirect
216. #2423C22semidirect
217. #2423C22semidirect
218. #2423C22semidirect
219. #2423C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
222. #2423C22semidirect
223. #2422C22semidirect
224. #2422C22semidirect
225. #2421C22semidirect
226. #2421C22semidirect
228. #2417C22semidirect
229. #2416C22semidirect
230. #2416C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
237. #2414C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2406C22semidirect
261. #2392C22semidirect
262. C2×#398C22semidirect
265. Q8×C22⋊C4C22semidirect
266. Q8×C22⋊C4C22semidirect
267. #2339C22semidirect
268. #2339C22semidirect
269. #2339C22semidirect
270. #2339C22semidirect
272. #2325C22semidirect
273. #2322C22semidirect
275. #2317C22semidirect
278. #2311C22semidirect
279. #2311C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
282. #2310C22semidirect
283. #2310C22semidirect
285. C4×#121C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. C2×#391C22semidirect
294. C2×#391C22semidirect
295. C2×#389C22semidirect
297. C2×#387C22semidirect
298. C2×#384C22semidirect
306. C2×2−1+4D4semidirect
1770. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34972
#429842
#429502
#429272
#429092
#428062
#427962
#427862
#419522
#419372
#399572
#399562
#398612
#398602
#397432
#396152
#395952
#391332
#383692
#383682
#356602
#356592
#355642
#355302
#355182
#355172
#352732
#352512
#351822
#347432
#347382
C2×#24232
#342592