Finite Group Databasebeta

← #7652090

Subgroups — #7652090

Order 512.

8341 conjugacy classes of subgroups.

The subgroup lattice has 2059 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3#42992C212yesmaximal, complemented
4#42943C212yesmaximal, complemented
5#42917C212yesmaximal, complemented
6#42916C212yesmaximal, complemented
7#42797C212yesmaximal, complemented
8#42787C212yesmaximal, complemented
9#42786C212yesmaximal, complemented
10#42786C212yesmaximal, complemented
11#42166C214yesmaximal, complemented
12#41982C214yesmaximal, complemented
13#39889C212yesmaximal, complemented
14#39888C212yesmaximal, complemented
15#39884C212yesmaximal, complemented
16#39884C212yesmaximal, complemented
17#39721C212yesmaximal, complemented
18#39595C212yesmaximal, complemented
19#39593C212yesmaximal, complemented
20#39121C212yesmaximal, complemented
21#38428C214yesmaximal, complemented
22#38425C214yesmaximal, complemented
23#35667C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic, complemented
25#35660C211yesmaximal, characteristic, complemented
26#35659C211yesmaximal, characteristic, complemented
27#35619C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35305C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#34742C211yesmaximal, characteristic, complemented
33#34738C211yesmaximal, characteristic, complemented
34C2×#2429C211yesmaximal, characteristic, complemented
35#34257C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic, complemented
38C23×#41C2211yescharacteristic
39#3499—216no—
40#3489—216no—
41C2×D4×Q8C2212yes—
42C2×D4×Q8C2212yescomplemented
43C2×D4×Q8C2212yescomplemented
44C2×#548C2212yes—
45C2×#547C2214yes—
46C2×#547C2212yes—
47C2×#547C2214yescomplemented
48C2×#547C2214yescomplemented
49C2×#547C2212yescomplemented
50C2×#547C2212yescomplemented
51C2×#546C2214yes—
52C2×#546C2212yes—
53C2×#537C2211yescharacteristic
54C2×#537C2212yes—
55C2×#536C2212yes—
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2212yescomplemented
60C2×#536C2211yescharacteristic, complemented
61C2×#536C2212yescomplemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2212yescomplemented
65C22×C4⋊Q8C2212yescomplemented
66C22×C4⋊Q8C2211yescharacteristic, complemented
67C2×#525C2211yescharacteristic
68C2×#525C2212yes—
69C2×#525C2211yescharacteristic
70C22×C22⋊Q8C2211yescharacteristic
71C22×C22⋊Q8C2212yes—
72C22×C22⋊Q8C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×#519C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×Q8C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2854C2214yescomplemented
79#2854C2212yescomplemented
80#2848C2212yes—
81#2848C2212yes—
82#2814C2214yescomplemented
83#2814C2214yescomplemented
84#2814C2214yescomplemented
85#2813C2214yescomplemented
86#2734C2214yescomplemented
87#2734C2214yescomplemented
88#2732C2214yes—
89#2732C2214yescomplemented
90#2731C2214yescomplemented
91#2731C2214yescomplemented
92#2730C2214yescomplemented
93#2730C2214yescomplemented
94#2729C2214yes—
95#2729C2214yes—
96#2729C2214yescomplemented
97#2729C2214yescomplemented
98#2729C2214yescomplemented
99#2729C2214yescomplemented
100#2728C2214yes—
101#2728C2214yescomplemented
102#2724C2214yescomplemented
103#2724C2214yescomplemented
104#2701C2214yescomplemented
105#2701C2214yescomplemented
106#2701C2214yescomplemented
107#2701C2214yescomplemented
108#2701C2214yescomplemented
109#2701C2214yescomplemented
110#2699C2214yescomplemented
111#2699C2214yescomplemented
112#2697C2214yes—
113#2697C2214yes—
114#2682C2214yescomplemented
115#2682C2214yescomplemented
116#2678C2214yes—
117#2678C2214yes—
118#2663C2214yescomplemented
119#2663C2214yescomplemented
120#2663C2214yescomplemented
121#2661C2214yescomplemented
122#2630C2214yes—
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2630C2214yescomplemented
126#2627C2214yescomplemented
127#2627C2214yescomplemented
128#2626C2214yes—
129#2625C2212yescomplemented
130#2624C2212yescomplemented
131#2618C2214yescomplemented
132#2618C2214yescomplemented
133#2616C2212yes—
134#2616C2212yes—
135#2602C2214yes—
136#2602C2214yescomplemented
137#2602C2214yescomplemented
138#2602C2214yescomplemented
139#2591C2214yescomplemented
140#2583C2214yescomplemented
141#2583C2214yescomplemented
142#2579C2214yes—
143#2579C2214yescomplemented
144#2579C2214yescomplemented
145#2561C2214yes—
146#2548C2212yescomplemented
147#2546C2212yescomplemented
148#2546C2212yescomplemented
149#2546C2212yescomplemented
150#2545C2212yescomplemented
151#2545C2212yescomplemented
152#2545C2212yescomplemented
153#2545C2212yescomplemented
154#2538C2212yes—
155#2538C2212yescomplemented
156#2538C2212yescomplemented
157#2538C2212yescomplemented
158#2536C2212yes—
159#2536C2212yescomplemented
160#2536C2212yescomplemented
161#2536C2212yescomplemented
162#2534C2214yes—
163#2503C2212yescomplemented
164#2502C2212yescomplemented
165#2499C2212yescomplemented
166#2499C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2485C2212yescomplemented
171#2448C2212yescomplemented
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2447C2212yescomplemented
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2446C2212yescomplemented
178#2445C2212yescomplemented
179#2444C2214yescomplemented
180#2444C2214yescomplemented
181#2443C2214yescomplemented
182#2443C2214yescomplemented
183#2436C2211yescharacteristic
184#2436C2212yescomplemented
185#2435C2211yescharacteristic
186#2435C2212yes—
187#2434C2212yes—
188#2434C2211yescharacteristic
189#2434C2212yescomplemented
190#2433C2211yescharacteristic
191#2432C2211yescharacteristic
192#2432C2212yes—
193#2432C2211yescharacteristic
194#2432C2212yes—
195#2432C2212yescomplemented
196#2431C2211yescharacteristic
197#2431C2211yescharacteristic
198#2431C2212yescomplemented
199#2430C2212yes—
200#2430C2212yes—
201#2430C2214yescomplemented
202#2430C2214yescomplemented
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yescomplemented
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2429C2212yescomplemented
212#2429C2212yescomplemented
213#2429C2212yescomplemented
214#2429C2212yescomplemented
215#2429C2212yescomplemented
216#2429C2212yescomplemented
217#2426C2212yes—
218#2426C2212yescomplemented
219#2423C2211yescharacteristic
220#2423C2211yescharacteristic, complemented
221#2423C2212yescomplemented
222#2422C2211yescharacteristic
223#2422C2211yescharacteristic, complemented
224#2422C2212yescomplemented
225#2421C2211yescharacteristic
226#2421C2211yescharacteristic, complemented
227#2421C2212yescomplemented
228#2420C2211yescharacteristic
229#2420C2211yescharacteristic, complemented
230#2420C2212yescomplemented
231#2419C2212yescomplemented
232#2419C2214yescomplemented
233#2419C2214yescomplemented
234#2419C2212yescomplemented
235#2418C2212yes—
236#2418C2212yes—
237#2413C2214yescomplemented
238#2413C2214yescomplemented
239#2413C2214yescomplemented
240#2411C2214yes—
241#2410C2212yes—
242#2410C2212yes—
243#2409C2212yes—
244#2409C2212yes—
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2406C2214yes—
256#2406C2214yescomplemented
257#2405C2214yes—
258#2404C2214yes—
259#2395C2212yes—
260#2395C2212yescomplemented
261C2×#398C2212yescomplemented
262C2×#396C2212yes—
263#2388C2212yes—
264#2388C2212yes—
265#2341C2212yescomplemented
266#2341C2212yescomplemented
267#2341C2212yescomplemented
268#2341C2212yescomplemented
269Q8×C22⋊C4C2212yescomplemented
270Q8×C22⋊C4C2212yescomplemented
271Q8×C22⋊C4C2212yescomplemented
272Q8×C22⋊C4C2212yescomplemented
273#2322C2214yes—
274#2322C2214yescomplemented
275#2322C2214yescomplemented
276#2321C2214yes—
277#2317C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281#2311C2211yescharacteristic, complemented
282#2311C2211yescharacteristic, complemented
283#2311C2214yescomplemented
284#2310C2211yescharacteristic, complemented
285C4×#123C2212yes—
286C4×#123C2212yescomplemented
287C4×#120C2212yes—
288C4×#120C2212yes—
289#2297C2211yescharacteristic
290#2297C2211yescharacteristic
291#2297C2214yescomplemented
292#2297C2211yescharacteristic, complemented
293#2296C2211yescharacteristic, complemented
294C2×#391C2211yescharacteristic, complemented
295C2×#389C2212yescomplemented
296C2×#389C2211yescharacteristic, complemented
297C2×#388C2212yes—
298#2285C2211yescharacteristic, complemented
299#2280C2211yescharacteristic
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×#41C2312yes—
315C22×#41C2312yes—
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C22×#41C2314yes—
319C22×#41C2312yes—
320C22×#41C2312yes—
321C22×#41C2314yes—
322C22×#41C2312yes—
323C22×#41C2312yes—
324C23×Q8C2311yescharacteristic
325C23×Q8C2311yescharacteristic
326C23×Q8C2311yescharacteristic
327C23×Q8C2312yes—
328C23×Q8C2312yes—
329C23×Q8C2312yes—
330C23×Q8C2312yes—
331C23×D4C2312yes—
332C23×D4C2311yescharacteristic
333C24×C4C2311yescharacteristic
334C24×C4C2312yes—
335D4×Q8—216no—
336D4×Q8—216no—
337D4×Q8—216no—
338#548—216no—
339#547—216no—
340#547—232no—
341#547—216no—
342#547—216no—
343#547—232no—
344#547—232no—
345#546—216no—
346#546—232no—
347#537—28no—
348#537—216no—
349#536—28no—
350#536—216no—
351#536—28no—
352#536—216no—
353#536—28no—
354#536—216no—
355#536—44no—
356#532—28no—
357#532—216no—
358#532—44no—
359C2×C4⋊Q8—28no—
360C2×C4⋊Q8—216no—
361C2×C4⋊Q8C2311yescharacteristic
362C2×C4⋊Q8C2312yes—
363C2×C4⋊Q8C2312yes—
364C2×C4⋊Q8C2312yes—
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×C4⋊Q8C2312yes—
368C2×C4⋊Q8C2314yes—
369C2×C4⋊Q8C2314yes—
370C2×C4⋊Q8C2314yes—
371C2×C4⋊Q8C2312yes—
372C2×C4⋊Q8C2311yescharacteristic
373C2×C4⋊Q8C2312yes—
374C2×#127C2311yescharacteristic
375C2×#127C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385#525—28no—
386#525—216no—
387#525—44no—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2312yes—
405C2×C22⋊Q8—28no—
406C2×C22⋊Q8—216no—
407C2×C22⋊Q8—44no—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2314yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458#520—28no—
459#519—44no—
460C4×#41—28no—
461C2×C4×Q8—44no—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2311yescharacteristic
513C22×C22⋊C4C2311yescharacteristic
514C22×C22⋊C4C2312yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#400C2312yes—
523#400C2314yes—
524#400C2312yes—
525#399C2314yes—
526#399C2312yes—
527#399C2312yes—
528#399C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#397C2312yes—
548#397C2314yes—
549#397C2314yes—
550#397C2312yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#395C2312yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2312yes—
585#395C2314yes—
586#395C2314yes—
587#394C2312yes—
588#394C2314yes—
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2312yes—
620#393C2314yes—
621#392C2314yes—
622#392C2312yes—
623#392C2312yes—
624#392C2314yes—
625#392C2312yes—
626#392C2312yes—
627#392C2314yes—
628#392C2312yes—
629#392C2312yes—
630#392C2314yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2314yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2311yescharacteristic
643#391C2311yescharacteristic
644#391C2311yescharacteristic
645#391C2311yescharacteristic
646#391C2314yes—
647#391C2314yes—
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2311yescharacteristic
665#390C2314yes—
666#390C2311yescharacteristic
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2311yescharacteristic
670#390C2314yes—
671#390C2314yes—
672#390C2311yescharacteristic
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2312yes—
686#389C2314yes—
687#389C2312yes—
688#389C2314yes—
689#389C2311yescharacteristic
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#386C2312yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2312yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#385C2312yes—
788#385C2312yes—
789#384C2312yes—
790#384C2311yescharacteristic
791#384C2311yescharacteristic
792#382C2312yes—
793#382C2311yescharacteristic
794#382C2311yescharacteristic
795#381C2314yes—
796#381C2314yes—
797#381C2314yes—
798#381C2314yes—
799#381C2312yes—
800#381C2312yes—
801#381C2314yes—
802#381C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2311yescharacteristic
818#380C2311yescharacteristic
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2312yes—
823#379C2312yes—
824#379C2314yes—
825#379C2314yes—
826#379C2312yes—
827#379C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
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—24no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—24no—
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—44no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—48no—
885C2×#41—48no—
886C2×#41—42no—
887C2×#41—42no—
888C2×#41—42no—
889C2×#41—42no—
890C2×#41—44no—
891C2×#41—44no—
892C2×#41—44no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—44no—
896C2×#41—44no—
897C2×#41—44no—
898C2×#41—464no—
899C2×#41C2×D418yes—
900C2×#41C2×D418yes—
901C2×#41C2×D4116yes—
902C2×#41C2×D4116yes—
903C2×#41C2×D4132yes—
904C22×Q8—24no—
905C22×Q8—28no—
906C22×Q8—28no—
907C22×Q8—24no—
908C22×Q8—24no—
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×Q8C2412yes—
926C22×Q8C2412yes—
927C22×Q8C2411yescharacteristic
928C22×Q8C2411yescharacteristic
929C22×Q8C2412yes—
930C22×Q8C2412yes—
931C22×Q8C2411yescharacteristic
932C22×Q8C2411yescharacteristic
933C22×Q8C2414yes—
934C22×Q8C2412yes—
935C22×Q8C2414yes—
936C22×D4—28no—
937C22×D4—24no—
938C22×D4—42no—
939C22×D4—42no—
940C22×D4—44no—
941C22×D4—44no—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2411yescharacteristic
945C22×D4C2411yescharacteristic
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2412yes—
950C22×D4C2411yescharacteristic
951C22×D4C2412yes—
952C22×D4C2411yescharacteristic
953C22×D4C2412yes—
954C22×D4C2414yes—
955C22×D4C2412yes—
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2414yes—
960C22×D4C2412yes—
961C22×D4C2412yes—
962C22×D4C2412yes—
963C22×D4C2414yes—
964C23×C4—28no—
965C23×C4—24no—
966C23×C4—24no—
967C23×C4—24no—
968C23×C4—44no—
969C23×C4—44no—
970C23×C4C2412yes—
971C23×C4C2411yescharacteristic
972C23×C4C2412yes—
973C23×C4C2411yescharacteristic
974C23×C4C2411yescharacteristic
975C23×C4C2411yescharacteristic
976C23×C4C2411yescharacteristic
977C23×C4C2412yes—
978C23×C4C2411yescharacteristic
979C23×C4C2411yescharacteristic
980C23×C4C2411yescharacteristic
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2414yes—
989C23×C4C2411yescharacteristic
990C23×C4C2412yes—
991C23×C4C2414yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2414yes—
995C23×C4C2414yes—
996C23×C4C2414yes—
997C23×C4C2411yescharacteristic
998C4⋊Q8—24no—
999C4⋊Q8—28no—
1000C4⋊Q8—28no—
1001C4⋊Q8—28no—
1002C4⋊Q8—28no—
1003C4⋊Q8—28no—
1004C4⋊Q8—28no—
1005C4⋊Q8—216no—
1006C4⋊Q8—216no—
1007C4⋊Q8—28no—
1008C4⋊Q8—216no—
1009C4⋊Q8—42no—
1010C4⋊Q8—44no—
1011#127—24no—
1012#127—42no—
1013#124—24no—
1014#124—28no—
1015#124—28no—
1016#124—216no—
1017#124—24no—
1018#124—28no—
1019#124—42no—
1020#124—42no—
1021#124—44no—
1022#123—28no—
1023#123—216no—
1024#123—216no—
1025#123—216no—
1026#123—216no—
1027#123—216no—
1028#123—216no—
1029#123—216no—
1030#123—216no—
1031#123—216no—
1032#123—216no—
1033#123—28no—
1034#123—44no—
1035#123—48no—
1036#123—44no—
1037#123—48no—
1038#123—48no—
1039C22⋊Q8—24no—
1040C22⋊Q8—28no—
1041C22⋊Q8—28no—
1042C22⋊Q8—28no—
1043C22⋊Q8—28no—
1044C22⋊Q8—28no—
1045C22⋊Q8—216no—
1046C22⋊Q8—28no—
1047C22⋊Q8—216no—
1048C22⋊Q8—24no—
1049C22⋊Q8—28no—
1050C22⋊Q8—28no—
1051C22⋊Q8—28no—
1052C22⋊Q8—216no—
1053C22⋊Q8—216no—
1054C22⋊Q8—28no—
1055C22⋊Q8—28no—
1056C22⋊Q8—216no—
1057C22⋊Q8—216no—
1058C22⋊Q8—28no—
1059C22⋊Q8—216no—
1060C22⋊Q8—44no—
1061C22⋊Q8—44no—
1062C22⋊Q8—44no—
1063C22⋊Q8—44no—
1064C22⋊Q8—42no—
1065C22⋊Q8—42no—
1066C22⋊Q8—44no—
1067C22⋊Q8—44no—
1068#121—24no—
1069#121—24no—
1070#121—28no—
1071#121—28no—
1072#121—28no—
1073#121—216no—
1074#121—216no—
1075#121—216no—
1076#121—216no—
1077#121—216no—
1078#121—28no—
1079#121—216no—
1080#121—42no—
1081#121—42no—
1082#121—44no—
1083#121—44no—
1084#120—28no—
1085#120—216no—
1086#120—28no—
1087#120—44no—
1088#120—44no—
1089C4×Q8—24no—
1090C4×Q8—24no—
1091C4×Q8—28no—
1092C4×Q8—44no—
1093C4×Q8—44no—
1094C4×Q8—44no—
1095C4×Q8—44no—
1096C4×Q8—44no—
1097C4×Q8—44no—
1098C4×Q8—44no—
1099C4×Q8—44no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—216no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—216no—
1108C4×D4—28no—
1109C4×D4—216no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—216no—
1113C4×D4—216no—
1114C4×D4—44no—
1115C4×D4—44no—
1116C4×D4—44no—
1117C4×D4—44no—
1118#117—28no—
1119#117—24no—
1120#117—28no—
1121#117—24no—
1122#117—24no—
1123#117—24no—
1124#117—48no—
1125C2×C4⋊C4—28no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—28no—
1128C2×C4⋊C4—216no—
1129C2×C4⋊C4—28no—
1130C2×C4⋊C4—28no—
1131C2×C4⋊C4—216no—
1132C2×C4⋊C4—216no—
1133C2×C4⋊C4—24no—
1134C2×C4⋊C4—44no—
1135C2×C4⋊C4—44no—
1136C2×C4⋊C4—44no—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2414yes—
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—216no—
1195C2×C22⋊C4—24no—
1196C2×C22⋊C4—42no—
1197C2×C22⋊C4—44no—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2411yescharacteristic
1269C2×C42—28no—
1270C2×C42—24no—
1271C2×C42—24no—
1272C2×C42—44no—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2414yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2414yes—
1291C2×C42C2414yes—
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2411yescharacteristic
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2414yes—
1346C24—22no—
1347C24—24no—
1348C24—22no—
1349C24—22no—
1350C24—22no—
1351C24—24no—
1352C24—41no—
1353C24—42no—
1354C24—42no—
1355C24—41no—
1356C24—41no—
1357C24—42no—
1358C24—42no—
1359C24—42no—
1360C24C2511yescharacteristic
1361C24C2512yes—
1362C24C2512yes—
1363C24C2512yes—
1364C24C2512yes—
1365C24C2511yescharacteristic
1366C24C2511yescharacteristic
1367#41—232no—
1368#41—232no—
1369#41—464no—
1370#41—432no—
1371#41—432no—
1372#41—432no—
1373#41—432no—
1374#41—432no—
1375#41—416no—
1376#41—464no—
1377#41—432no—
1378#41—416no—
1379#41—416no—
1380#41—416no—
1381C2×Q8—232no—
1382C2×Q8—28no—
1383C2×Q8—24no—
1384C2×Q8—24no—
1385C2×Q8—22no—
1386C2×Q8—24no—
1387C2×Q8—22no—
1388C2×Q8—24no—
1389C2×Q8—24no—
1390C2×Q8—24no—
1391C2×Q8—24no—
1392C2×Q8—22no—
1393C2×Q8—22no—
1394C2×Q8—22no—
1395C2×Q8—22no—
1396C2×Q8—24no—
1397C2×Q8—24no—
1398C2×Q8—24no—
1399C2×Q8—22no—
1400C2×Q8—24no—
1401C2×Q8—22no—
1402C2×Q8—22no—
1403C2×Q8—22no—
1404C2×Q8—44no—
1405C2×Q8—44no—
1406C2×Q8—44no—
1407C2×Q8—44no—
1408C2×Q8—42no—
1409C2×Q8—42no—
1410C2×Q8—432no—
1411C2×Q8—432no—
1412C2×Q8—432no—
1413C2×Q8—416no—
1414C2×Q8—432no—
1415C2×Q8—416no—
1416C2×Q8C22×D414yes—
1417C2×Q8C22×D414yes—
1418C2×Q8C22×D418yes—
1419C2×Q8C22×D418yes—
1420C2×Q8C22×D4116yes—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—28no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—24no—
1439C2×D4—28no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—22no—
1452C2×D4—24no—
1453C2×D4—24no—
1454C2×D4—24no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—44no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—44no—
1481C2×D4—42no—
1482C2×D4—432no—
1483C2×D4—416no—
1484C2×D4C22×D418yes—
1485C2×D4C22×D414yes—
1486C2×D4C22×D418yes—
1487C2×D4C22×D414yes—
1488C2×D4C22×D4116yes—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—22no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—24no—
1509C22×C4—28no—
1510C22×C4—24no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—24no—
1515C22×C4—22no—
1516C22×C4—28no—
1517C22×C4—24no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—24no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—24no—
1524C22×C4—24no—
1525C22×C4—24no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—22no—
1531C22×C4—22no—
1532C22×C4—24no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—24no—
1536C22×C4—22no—
1537C22×C4—24no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—41no—
1546C22×C4—42no—
1547C22×C4—41no—
1548C22×C4—41no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—44no—
1552C22×C4—44no—
1553C22×C4—44no—
1554C22×C4—44no—
1555C22×C4—44no—
1556C22×C4—44no—
1557C22×C4—44no—
1558C22×C4—44no—
1559C22×C4—41no—
1560C22×C4—42no—
1561C22×C4—44no—
1562C22×C4—41no—
1563C22×C4—42no—
1564C22×C4—44no—
1565C22×C4—432no—
1566C22×C4—416no—
1567C22×C4C22×D418yes—
1568C22×C4C22×D418yes—
1569C22×C4C22×D418yes—
1570C22×C4C22×D4116yes—
1571C22×C4C22×D4116yes—
1572C22×C4C22×D414yes—
1573C22×C4H(5,𝔽2)14yes—
1574C22×C4H(5,𝔽2)14yes—
1575C22×C4C2511yescharacteristic
1576C22×C4C2511yescharacteristic
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2514yes—
1586C22×C4C2512yes—
1587C22×C4C2514yes—
1588C22×C4C2512yes—
1589C22×C4C2514yes—
1590C22×C4C2511yescharacteristic
1591C22×C4C2511yescharacteristic
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2511yescharacteristic
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2514yes—
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C22×C4C2511yescharacteristic
1601C22×C4C2511yescharacteristic
1602C22×C4C2511yescharacteristic
1603C4⋊C4—22no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—28no—
1608C4⋊C4—28no—
1609C4⋊C4—24no—
1610C4⋊C4—28no—
1611C4⋊C4—28no—
1612C4⋊C4—24no—
1613C4⋊C4—28no—
1614C4⋊C4—28no—
1615C4⋊C4—28no—
1616C4⋊C4—28no—
1617C4⋊C4—28no—
1618C4⋊C4—28no—
1619C4⋊C4—28no—
1620C4⋊C4—28no—
1621C4⋊C4—28no—
1622C4⋊C4—22no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—22no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—28no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—22no—
1632C4⋊C4—22no—
1633C4⋊C4—22no—
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—28no—
1638C4⋊C4—24no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—44no—
1642C4⋊C4—44no—
1643C4⋊C4—44no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—44no—
1649C4⋊C4—44no—
1650C4⋊C4—44no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—44no—
1656C4⋊C4—44no—
1657C4⋊C4—42no—
1658C4⋊C4—44no—
1659C22⋊C4—28no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—28no—
1666C22⋊C4—24no—
1667C22⋊C4—28no—
1668C22⋊C4—24no—
1669C22⋊C4—28no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—22no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—28no—
1677C22⋊C4—28no—
1678C22⋊C4—28no—
1679C22⋊C4—28no—
1680C22⋊C4—24no—
1681C22⋊C4—28no—
1682C22⋊C4—24no—
1683C22⋊C4—24no—
1684C22⋊C4—28no—
1685C22⋊C4—28no—
1686C22⋊C4—22no—
1687C22⋊C4—22no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—22no—
1692C22⋊C4—22no—
1693C22⋊C4—24no—
1694C22⋊C4—41no—
1695C22⋊C4—41no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—42no—
1700C22⋊C4—42no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—42no—
1707C22⋊C4—44no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4—42no—
1711C22⋊C4—42no—
1712C22⋊C4—42no—
1713C22⋊C4—42no—
1714C22⋊C4—42no—
1715C22⋊C4—42no—
1716C22⋊C4—42no—
1717C22⋊C4—42no—
1718C22⋊C4—42no—
1719C22⋊C4—42no—
1720C22⋊C4—44no—
1721C22⋊C4—44no—
1722C22⋊C4—42no—
1723C22⋊C4—44no—
1724C22⋊C4—44no—
1725C22⋊C4—42no—
1726C22⋊C4—44no—
1727C22⋊C4—44no—
1728C22⋊C4—44no—
1729C22⋊C42−1+414yescomplemented
1730C42—22no—
1731C42—24no—
1732C42—22no—
1733C42—24no—
1734C42—24no—
1735C42—22no—
1736C42—22no—
1737C42—28no—
1738C42—24no—
1739C42—22no—
1740C42—22no—
1741C42—22no—
1742C42—22no—
1743C42—24no—
1744C42—24no—
1745C42—44no—
1746C42—44no—
1747C42—44no—
1748C42—44no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—21no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—21no—
1768C23—22no—
1769C23—22no—
1770C23—21no—
1771C23—22no—
1772C23—21no—
1773C23—22no—
1774C23—21no—
1775C23—22no—
1776C23—21no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—21no—
1781C23—22no—
1782C23—22no—
1783C23—21no—
1784C23—22no—
1785C23—22no—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—21no—
1790C23—22no—
1791C23—21no—
1792C23—44no—
1793C23—44no—
1794C23—44no—
1795C23—48no—
1796C23—48no—
1797C23—44no—
1798C23—82no—
1799C23—82no—
1800C23—82no—
1801C23—84no—
1802C23—84no—
1803C23—84no—
1804C23—84no—
1805C23—84no—
1806C23C23×D414yes—
1807C23C23×D414yes—
1808C23C23×D412yes—
1809C23C2×H(5,𝔽2)12yes—
1810C23C2×H(5,𝔽2)12yes—
1811C23C2×2−1+412yes—
1812C23C2611yescharacteristic
1813Q8—216no—
1814Q8—216no—
1815Q8—28no—
1816Q8—28no—
1817Q8—416no—
1818Q8—416no—
1819Q8—48no—
1820Q8—48no—
1821Q8—48no—
1822Q8—44no—
1823Q8—44no—
1824D4—216no—
1825D4—216no—
1826D4—28no—
1827D4—28no—
1828D4—416no—
1829D4—48no—
1830D4—48no—
1831D4—48no—
1832D4—48no—
1833D4—48no—
1834D4—48no—
1835D4—416no—
1836D4—48no—
1837D4—48no—
1838D4—44no—
1839D4—44no—
1840D4—84no—
1841D4—84no—
1842D4—88no—
1843D4—84no—
1844D4—84no—
1845D4—84no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—24no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—216no—
1859C2×C4—216no—
1860C2×C4—216no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—24no—
1887C2×C4—24no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—24no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—21no—
1905C2×C4—24no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—24no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—24no—
1920C2×C4—22no—
1921C2×C4—416no—
1922C2×C4—416no—
1923C2×C4—44no—
1924C2×C4—48no—
1925C2×C4—44no—
1926C2×C4—48no—
1927C2×C4—44no—
1928C2×C4—48no—
1929C2×C4—48no—
1930C2×C4—416no—
1931C2×C4—48no—
1932C2×C4—48no—
1933C2×C4—416no—
1934C2×C4—44no—
1935C2×C4—48no—
1936C2×C4—44no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—44no—
1940C2×C4—48no—
1941C2×C4—48no—
1942C2×C4—84no—
1943C2×C4—88no—
1944C2×C4—82no—
1945C2×C4#534116yes—
1946C2×C4C23×D414yes—
1947C2×C4C23×D414yes—
1948C2×C4C23×D418yes—
1949C2×C4C23×D412yes—
1950C2×C4C23×D412yes—
1951C2×C4C2×H(5,𝔽2)12yes—
1952C2×C4C2×H(5,𝔽2)12yes—
1953C2×C4C2×H(5,𝔽2)12yes—
1954C2×C4C2×H(5,𝔽2)12yes—
1955C2×C4C2×2−1+412yes—
1956C2×C4C2×2−1+412yes—
1957C2×C4#58512yes—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—24no—
1965C22—22no—
1966C22—24no—
1967C22—24no—
1968C22—24no—
1969C22—22no—
1970C22—24no—
1971C22—24no—
1972C22—22no—
1973C22—41no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—41no—
1979C22—41no—
1980C22—42no—
1981C22—42no—
1982C22—41no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—42no—
1989C22—41no—
1990C22—42no—
1991C22—42no—
1992C22—41no—
1993C22—42no—
1994C22—41no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—41no—
2000C22—42no—
2001C22—42no—
2002C22—41no—
2003C22—42no—
2004C22—42no—
2005C22—41no—
2006C22—88no—
2007C22—816no—
2008C22C2×#53414yes—
2009C22C24×D411yescharacteristic
2010C22C22×H(5,𝔽2)11yescharacteristic
2011C22C22×H(5,𝔽2)11yescharacteristic
2012C22C22×2−1+411yescharacteristic
2013C22C2×#58511yescharacteristic
2014C222−1+611yescharacteristic
2015C222−1+611yescharacteristic
2016C4—22no—
2017C4—22no—
2018C4—24no—
2019C4—24no—
2020C4—28no—
2021C4—22no—
2022C4—41no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—41no—
2027C4—42no—
2028C4—44no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—44no—
2038C4—44no—
2039C4—41no—
2040C4—41no—
2041C4—41no—
2042C4C2×#53414yes—
2043C4C2×#53414yes—
2044C2—24no—
2045C2—44no—
2046C2—44no—
2047C2—42no—
2048C2—82no—
2049C2—81no—
2050C2—82no—
2051C2C22×#53411yescharacteristic
2052C2#6283511yescharacteristic
2053C2#6288811yescharacteristic
2054C2#6292511yescharacteristic
2055C2#6294211yescharacteristic
2056C2D4×2−1+411yescharacteristic
2057C2#6300211yescharacteristic
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×#3499C2semidirect
2. C2×#3489C2semidirect
3. #42992C2semidirect
4. #42943C2semidirect
5. #42917C2semidirect
6. #42916C2semidirect
7. #42797C2semidirect
8. #42787C2semidirect
9. #42786C2semidirect
10. #42786C2semidirect
11. #42166C2semidirect
12. #41982C2semidirect
13. #39889C2semidirect
14. #39888C2semidirect
15. #39884C2semidirect
16. #39884C2semidirect
17. #39721C2semidirect
18. #39595C2semidirect
19. #39593C2semidirect
20. #39121C2semidirect
21. #38428C2semidirect
22. #38425C2semidirect
23. #35667C2semidirect
24. #35661C2semidirect
25. #35660C2semidirect
26. #35659C2semidirect
27. #35619C2semidirect
28. #35517C2semidirect
29. #35305C2semidirect
30. #35255C2semidirect
31. #35178C2semidirect
32. #34742C2semidirect
33. #34738C2semidirect
34. C2×#2429C2semidirect
35. #34257C2semidirect
37. C22×2−1+4C22semidirect
42. C2×D4×Q8C22semidirect
43. C2×D4×Q8C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
59. C2×#536C22semidirect
60. C2×#536C22semidirect
61. C2×#536C22semidirect
64. C2×#532C22semidirect
65. C22×C4⋊Q8C22semidirect
66. C22×C4⋊Q8C22semidirect
74. C2×#519C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×Q8C22semidirect
77. #2855C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
82. #2814C22semidirect
83. #2814C22semidirect
84. #2814C22semidirect
85. #2813C22semidirect
86. #2734C22semidirect
87. #2734C22semidirect
89. #2732C22semidirect
90. #2731C22semidirect
91. #2731C22semidirect
92. #2730C22semidirect
93. #2730C22semidirect
96. #2729C22semidirect
97. #2729C22semidirect
98. #2729C22semidirect
99. #2729C22semidirect
101. #2728C22semidirect
102. #2724C22semidirect
103. #2724C22semidirect
104. #2701C22semidirect
105. #2701C22semidirect
106. #2701C22semidirect
107. #2701C22semidirect
108. #2701C22semidirect
109. #2701C22semidirect
110. #2699C22semidirect
111. #2699C22semidirect
114. #2682C22semidirect
115. #2682C22semidirect
118. #2663C22semidirect
119. #2663C22semidirect
120. #2663C22semidirect
121. #2661C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
125. #2630C22semidirect
126. #2627C22semidirect
127. #2627C22semidirect
129. #2625C22semidirect
130. #2624C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
136. #2602C22semidirect
137. #2602C22semidirect
138. #2602C22semidirect
139. #2591C22semidirect
140. #2583C22semidirect
141. #2583C22semidirect
143. #2579C22semidirect
144. #2579C22semidirect
146. #2548C22semidirect
147. #2546C22semidirect
148. #2546C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
152. #2545C22semidirect
153. #2545C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
157. #2538C22semidirect
159. #2536C22semidirect
160. #2536C22semidirect
161. #2536C22semidirect
163. #2503C22semidirect
164. #2502C22semidirect
165. #2499C22semidirect
166. #2499C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2485C22semidirect
171. #2448C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
177. #2446C22semidirect
178. #2445C22semidirect
179. #2444C22semidirect
180. #2444C22semidirect
181. #2443C22semidirect
182. #2443C22semidirect
184. #2436C22semidirect
189. #2434C22semidirect
195. #2432C22semidirect
198. #2431C22semidirect
201. #2430C22semidirect
202. #2430C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
213. #2429C22semidirect
214. #2429C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
218. #2426C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
223. #2422C22semidirect
224. #2422C22semidirect
226. #2421C22semidirect
227. #2421C22semidirect
229. #2420C22semidirect
230. #2420C22semidirect
231. #2419C22semidirect
232. #2419C22semidirect
233. #2419C22semidirect
234. #2419C22semidirect
237. #2413C22semidirect
238. #2413C22semidirect
239. #2413C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
256. #2406C22semidirect
260. #2395C22semidirect
261. C2×#398C22semidirect
265. #2341C22semidirect
266. #2341C22semidirect
267. #2341C22semidirect
268. #2341C22semidirect
269. Q8×C22⋊C4C22semidirect
270. Q8×C22⋊C4C22semidirect
271. Q8×C22⋊C4C22semidirect
272. Q8×C22⋊C4C22semidirect
274. #2322C22semidirect
275. #2322C22semidirect
277. #2317C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
284. #2310C22semidirect
286. C4×#123C22semidirect
291. #2297C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
294. C2×#391C22semidirect
295. C2×#389C22semidirect
296. C2×#389C22semidirect
298. #2285C22semidirect
306. C2×2−1+4D4semidirect
1729. 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×#34992
C2×#34892
#429922
#429432
#429172
#429162
#427972
#427872
#427862
#421662
#419822
#398892
#398882
#398842
#397212
#395952
#395932
#391212
#384282
#384252
#356672
#356612
#356602
#356592
#356192
#355172
#353052
#352552
#351782
#347422
#347382
C2×#24292
#342572