Finite Group Databasebeta

← #7986701

Subgroups — #7986701

Order 512.

7248 conjugacy classes of subgroups.

The subgroup lattice has 1939 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C22×#554C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59139C212yesmaximal, complemented
5#59135C211yesmaximal, characteristic, complemented
6#59052C211yesmaximal, characteristic, complemented
7#59005C212yesmaximal, complemented
8#51892C214yesmaximal, complemented
9#51781C214yesmaximal, complemented
10#45445C214yesmaximal, complemented
11#45417C212yesmaximal, complemented
12#45114C212yesmaximal, complemented
13#45042C212yesmaximal, complemented
14#44939C212yesmaximal, complemented
15#42681C212yesmaximal, complemented
16#42675C212yesmaximal, complemented
17#42439C212yesmaximal, complemented
18#42434C212yesmaximal, complemented
19#39618C211yesmaximal, characteristic, complemented
20#39470C211yesmaximal, characteristic, complemented
21#39126C211yesmaximal, characteristic, complemented
22#38955C211yesmaximal, characteristic, complemented
23#37687C212yesmaximal, complemented
24#37665C214yesmaximal, complemented
25#37651C212yesmaximal, complemented
26Q8×#121C211yesmaximal, characteristic, complemented
27#36163C212yesmaximal, complemented
28#36160C212yesmaximal, complemented
29#36129C211yesmaximal, characteristic, complemented
30#36100C211yesmaximal, characteristic, complemented
31#35226C212yesmaximal, complemented
32#35223C212yesmaximal, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yescomplemented
38C2×#555C2212yes—
39C2×#555C2211yescharacteristic, complemented
40C2×#554—216no—
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#554C2212yes—
47C2×#554C2212yes—
48C2×#554C2211yescharacteristic
49C2×#554C2211yescharacteristic
50C2×#553C2212yescomplemented
51C2×#552C2212yescomplemented
52C2×D4×Q8C2212yes—
53C2×D4×Q8C2211yescharacteristic, complemented
54C2×#548C2212yescomplemented
55C2×#547C2211yescharacteristic
56C2×#544C2212yescomplemented
57C2×#542C2214yescomplemented
58C2×#540C2212yes—
59C2×#537C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C22×C4⋊Q8C2211yescharacteristic
64C2×#529C2211yescharacteristic, complemented
65C22×#125C2212yes—
66C2×#525C2212yes—
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2214yes—
70C22×C4×Q8C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2212yes—
73C23×C4⋊C4C2212yes—
74#2862C2211yescharacteristic, complemented
75#2857C2211yescharacteristic
76#2857C2212yes—
77#2857C2211yescharacteristic, complemented
78#2849C2214yes—
79#2848C2212yes—
80#2847C2214yes—
81#2847C2214yes—
82#2816C2214yescomplemented
83#2814C2214yescomplemented
84#2732C2214yescomplemented
85#2731C2214yescomplemented
86#2730C2214yescomplemented
87#2726C2214yescomplemented
88#2725C2214yescomplemented
89#2720C2214yescomplemented
90#2713C2214yescomplemented
91#2711C2214yescomplemented
92#2704C2214yescomplemented
93#2704C2214yescomplemented
94#2702C2214yescomplemented
95#2702C2214yescomplemented
96#2700C2214yescomplemented
97#2700C2214yescomplemented
98#2700C2214yescomplemented
99#2696C2214yescomplemented
100#2692C2214yescomplemented
101#2692C2214yescomplemented
102#2692C2214yescomplemented
103#2692C2214yescomplemented
104#2687C2214yescomplemented
105#2687C2214yescomplemented
106#2687C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2680C2214yescomplemented
112#2677C2214yescomplemented
113#2676C2214yescomplemented
114#2674C2214yescomplemented
115#2674C2214yescomplemented
116#2672C2214yescomplemented
117#2660C2212yescomplemented
118#2635C2214yes—
119#2630C2214yes—
120#2629C2212yescomplemented
121#2625C2214yescomplemented
122#2621C2212yescomplemented
123#2620C2214yescomplemented
124#2618C2214yescomplemented
125#2618C2214yescomplemented
126#2616C2212yescomplemented
127#2566C2212yescomplemented
128#2563C2212yes—
129#2563C2211yescharacteristic, complemented
130#2563C2211yescharacteristic, complemented
131#2562C2212yescomplemented
132#2558C2214yescomplemented
133#2552C2212yescomplemented
134#2550C2212yescomplemented
135#2550C2212yescomplemented
136#2546C2211yescharacteristic, complemented
137#2546C2212yescomplemented
138#2542C2211yescharacteristic
139#2542C2212yescomplemented
140#2540C2212yescomplemented
141#2538C2211yescharacteristic, complemented
142#2538C2212yescomplemented
143#2537C2211yescharacteristic
144#2537C2212yes—
145#2536C2212yescomplemented
146#2503C2212yescomplemented
147#2492C2212yescomplemented
148#2492C2214yescomplemented
149#2491C2212yescomplemented
150#2491C2212yescomplemented
151#2490C2212yescomplemented
152#2490C2212yescomplemented
153#2486C2212yescomplemented
154#2485C2214yes—
155#2484C2214yescomplemented
156#2481C2214yes—
157#2481C2212yes—
158#2481C2214yescomplemented
159#2473C2214yes—
160#2473C2214yescomplemented
161#2472C2214yes—
162#2472C2212yes—
163#2472C2214yes—
164#2469C2212yescomplemented
165#2464C2212yes—
166#2464C2214yes—
167#2463C2214yescomplemented
168#2461C2212yes—
169#2460C2214yescomplemented
170#2459C2214yes—
171#2459C2214yes—
172#2458C2212yescomplemented
173#2457C2214yes—
174#2455C2214yes—
175#2454C2212yes—
176#2453C2211yescharacteristic, complemented
177#2452C2211yescharacteristic
178#2452C2214yescomplemented
179#2451C2212yescomplemented
180#2449C2214yes—
181#2448C2211yescharacteristic, complemented
182#2446C2212yescomplemented
183#2445C2212yes—
184#2445C2211yescharacteristic
185#2443C2214yes—
186#2443C2212yes—
187#2442C2212yes—
188#2442C2211yescharacteristic
189#2442C2212yescomplemented
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2440C2214yes—
195#2440C2211yescharacteristic
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2436C2214yes—
200#2436C2211yescharacteristic
201#2433C2211yescharacteristic
202#2432C2212yescomplemented
203#2429C2212yescomplemented
204#2429C2214yescomplemented
205#2429C2212yescomplemented
206#2429C2212yescomplemented
207#2428C2212yes—
208#2428C2211yescharacteristic
209#2427C2214yescomplemented
210#2426C2214yescomplemented
211#2426C2212yescomplemented
212#2426C2211yescharacteristic, complemented
213#2424C2212yes—
214#2424C2214yes—
215#2423C2214yescomplemented
216#2422C2212yes—
217#2422C2211yescharacteristic
218#2421C2211yescharacteristic, complemented
219#2420C2212yes—
220#2420C2212yes—
221#2420C2212yes—
222#2418C2214yes—
223#2418C2214yes—
224#2417C2212yes—
225#2417C2214yes—
226#2417C2214yes—
227#2417C2212yes—
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2417C2214yescomplemented
231#2417C2212yescomplemented
232#2416C2211yescharacteristic
233#2416C2214yes—
234#2416C2212yes—
235#2416C2212yes—
236#2416C2211yescharacteristic
237#2416C2212yescomplemented
238#2416C2214yescomplemented
239#2416C2212yescomplemented
240#2415C2212yes—
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2214yes—
244#2413C2214yescomplemented
245#2409C2211yescharacteristic
246#2409C2212yes—
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2408C2212yes—
250#2408C2211yescharacteristic
251#2407C2212yes—
252#2398C2212yescomplemented
253#2396C2212yescomplemented
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2363C2212yes—
260#2363C2212yes—
261#2362C2212yescomplemented
262#2361C2214yes—
263#2361C2212yes—
264#2360C2212yes—
265#2360C2212yescomplemented
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2352C2212yes—
269#2352C2212yes—
270#2352C2212yes—
271#2352C2212yescomplemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2212yes—
274#2344C2212yescomplemented
275Q8×C22⋊C4C2212yes—
276Q8×C22⋊C4C2212yescomplemented
277#2330C2212yescomplemented
278#2328C2212yes—
279#2324C2212yes—
280#2323C2212yescomplemented
281#2323C2214yescomplemented
282#2319C2212yes—
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2311C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic
288C4×#124C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#121C2212yes—
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295C4×#120C2212yes—
296#2295C2211yescharacteristic, complemented
297#2293C2211yescharacteristic
298#2290C2212yes—
299#2280C2214yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308C24×C4C2314yes—
309#562—232no—
310#555—28no—
311#555—216no—
312#554—28no—
313#554—216no—
314#554—216no—
315#554—232no—
316#554—28no—
317#554—28no—
318#554—216no—
319#554—216no—
320#554D4116yescomplemented
321#553—216no—
322#552—216no—
323D4×Q8—28no—
324D4×Q8—48no—
325#548—216no—
326#547—28no—
327#544—216no—
328#542—232no—
329#540—216no—
330#537—216no—
331#536—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2311yescharacteristic
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#125—216no—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368#525—48no—
369#525—48no—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×C22⋊Q8—232no—
380C2×C22⋊Q8—216no—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#120C2314yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×C4×Q8—28no—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—216no—
451C2×C4×D4—28no—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C22×C4⋊C4—216no—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2314yes—
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509#400C2314yes—
510#400C2312yes—
511#400C2314yes—
512#400C2312yes—
513#400C2312yes—
514#400C2314yes—
515#400C2314yes—
516#399C2314yes—
517#399C2314yes—
518#399C2314yes—
519#399C2312yes—
520#399C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2312yes—
545#397C2314yes—
546#397C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2312yes—
562#396C2312yes—
563#396C2314yes—
564#395C2314yes—
565#395C2312yes—
566#395C2312yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#393C2312yes—
601#393C2312yes—
602#393C2312yes—
603#393C2312yes—
604#393C2314yes—
605#392C2312yes—
606#392C2312yes—
607#392C2314yes—
608#392C2314yes—
609#392C2312yes—
610#392C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2314yes—
615#391C2311yescharacteristic
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2314yes—
620#391C2314yes—
621#391C2312yes—
622#391C2314yes—
623#391C2314yes—
624#391C2312yes—
625#391C2312yes—
626#391C2311yescharacteristic
627#391C2311yescharacteristic
628#391C2314yes—
629#391C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2311yescharacteristic
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2314yes—
643#390C2311yescharacteristic
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2312yes—
669#389C2312yes—
670#389C2314yes—
671#389C2314yes—
672#389C2311yescharacteristic
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2314yes—
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#384C2312yes—
773#384C2312yes—
774#384C2314yes—
775#382C2312yes—
776#382C2312yes—
777#382C2312yes—
778#382C2312yes—
779#382C2311yescharacteristic
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2312yes—
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2314yes—
812#379C2314yes—
813#379C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C2×#41—44no—
855C22×Q8—24no—
856C22×Q8—28no—
857C22×Q8—28no—
858C22×Q8—24no—
859C22×Q8—44no—
860C22×Q8—42no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—82no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×Q8C2412yes—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—24no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C23×C4—28no—
896C23×C4—28no—
897C23×C4—216no—
898C23×C4—44no—
899C23×C4—48no—
900C23×C4—84no—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C4⋊Q8—28no—
924C4⋊Q8—28no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—216no—
928C4⋊Q8—24no—
929C4⋊Q8—24no—
930C4⋊Q8—28no—
931C4⋊Q8—44no—
932C4⋊Q8—48no—
933C4⋊Q8C2×D418yes—
934#127—24no—
935#127—24no—
936#126—28no—
937#126—216no—
938#125—216no—
939#125—28no—
940#125—28no—
941#125—216no—
942#125—24no—
943#125—28no—
944#125—216no—
945#125—28no—
946#125C2×D4116yes—
947#124—24no—
948#124—216no—
949#124—28no—
950#124—216no—
951#124—216no—
952#124—42no—
953#124—84no—
954#123—216no—
955#123—28no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—44no—
960#123—44no—
961#123—48no—
962#123—84no—
963C22⋊Q8—216no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—44no—
985C22⋊Q8—48no—
986C22⋊Q8—48no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—42no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—82no—
993C22⋊Q8C2×D4116yes—
994C22⋊Q8C2×D4132yes—
995#121—24no—
996#121—28no—
997#121—28no—
998#121—24no—
999#121—216no—
1000#121—216no—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—216no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—48no—
1014#121—44no—
1015#121—84no—
1016#121—84no—
1017#120—44no—
1018#120—44no—
1019#120—44no—
1020#120—48no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—44no—
1029C4×Q8—82no—
1030C4×Q8C2×D418yes—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—216no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—216no—
1043C4×D4—216no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—48no—
1055C4×D4—42no—
1056C4×D4—48no—
1057C4×D4—48no—
1058C4×D4C2×D418yes—
1059C4×D4C2×D4116yes—
1060#117—216no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—44no—
1066#117—44no—
1067#117—84no—
1068C2×C4⋊C4—216no—
1069C2×C4⋊C4—28no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—216no—
1072C2×C4⋊C4—28no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—216no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—216no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4C2×D4116yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C42—28no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299C24—24no—
1300C24—24no—
1301C24—24no—
1302C24—24no—
1303C24—24no—
1304C24—42no—
1305C24—42no—
1306C24C2512yes—
1307C24C2511yescharacteristic
1308C24C2512yes—
1309C24C2512yes—
1310C24C2512yes—
1311C24C2511yescharacteristic
1312#41—816no—
1313#41—816no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—28no—
1318C2×Q8—24no—
1319C2×Q8—28no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—42no—
1334C2×Q8—44no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—42no—
1339C2×Q8—416no—
1340C2×Q8—816no—
1341C2×Q8—816no—
1342C2×Q8C22×D414yes—
1343C2×Q8C22×D418yes—
1344C2×D4—232no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4C22×D414yes—
1401C2×D42−1+414yes—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—28no—
1440C22×C4—28no—
1441C22×C4—28no—
1442C22×C4—28no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—432no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—41no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—41no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—832no—
1466C22×C4C22×D418yes—
1467C22×C4C22×D4116yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C42−1+414yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2514yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—28no—
1502C4⋊C4—28no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—41no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D418yes—
1563C4⋊C4C22×D4116yes—
1564C4⋊C4C22×D418yes—
1565C4⋊C4C22×D4116yes—
1566C4⋊C4C22×D418yes—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—22no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—22no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—41no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4C22×D418yes—
1633C22⋊C4C22×D4116yes—
1634C42—22no—
1635C42—22no—
1636C42—24no—
1637C42—24no—
1638C42—24no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—28no—
1644C42—28no—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—24no—
1649C42—22no—
1650C42—22no—
1651C42—44no—
1652C42—44no—
1653C42—44no—
1654C42—41no—
1655C42—44no—
1656C42—41no—
1657C42C22×D414yes—
1658C42C22×D418yes—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—216no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—22no—
1684C23—22no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—21no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—48no—
1698C23—48no—
1699C23—48no—
1700C23—48no—
1701C23—48no—
1702C23—48no—
1703C23C23×D414yes—
1704C23C2×H(5,𝔽2)12yes—
1705C23C2×2−1+414yes—
1706C23C2×2−1+412yes—
1707C23#58512yes—
1708C23C2611yescharacteristic
1709Q8—28no—
1710Q8—48no—
1711Q8—48no—
1712Q8—44no—
1713Q8—48no—
1714Q8—88no—
1715Q8—84no—
1716Q8—88no—
1717Q8—84no—
1718D4—216no—
1719D4—28no—
1720D4—28no—
1721D4—48no—
1722D4—44no—
1723D4—48no—
1724D4—44no—
1725D4—44no—
1726D4—84no—
1727D4—88no—
1728D4—84no—
1729D4—84no—
1730D4—84no—
1731D4—84no—
1732D4—88no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—28no—
1752C2×C4—28no—
1753C2×C4—216no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—24no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—416no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—416no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—82no—
1828C2×C4—88no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—88no—
1833C2×C4C23×D412yes—
1834C2×C4C23×D418yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4C2×H(5,𝔽2)12yes—
1841C2×C4C2×H(5,𝔽2)12yes—
1842C2×C4C2×2−1+412yes—
1843C2×C4C2×2−1+412yes—
1844C2×C4C2×2−1+412yes—
1845C2×C4#58512yes—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—24no—
1853C22—24no—
1854C22—24no—
1855C22—24no—
1856C22—24no—
1857C22—24no—
1858C22—432no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—41no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22#354714yescomplemented
1889C22C24×D411yescharacteristic
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×2−1+411yescharacteristic
1892C22C22×2−1+411yescharacteristic
1893C22C2×#58511yescharacteristic
1894C22C2×#58511yescharacteristic
1895C22H(7,𝔽2)11yescharacteristic
1896C4—24no—
1897C4—28no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—24no—
1902C4—24no—
1903C4—42no—
1904C4—44no—
1905C4—41no—
1906C4—41no—
1907C4—42no—
1908C4—41no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—42no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—44no—
1918C4—41no—
1919C4—42no—
1920C4—42no—
1921C4—44no—
1922C4—41no—
1923C4#348614yes—
1924C4#348814yes—
1925C2—24no—
1926C2—44no—
1927C2—44no—
1928C2—81no—
1929C2—82no—
1930C2—82no—
1931C2C2×#354711yescharacteristic
1932C2C2×#348611yescharacteristic
1933C2C2×#348811yescharacteristic
1934C2#6292611yescharacteristic
1935C2#6294411yescharacteristic
1936C2#6298711yescharacteristic
1937C2#6302311yescharacteristic
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×#3547C2semidirect
2. C22×#554C2semidirect
3. #59652C2semidirect
4. #59139C2semidirect
5. #59135C2semidirect
6. #59052C2semidirect
7. #59005C2semidirect
8. #51892C2semidirect
9. #51781C2semidirect
10. #45445C2semidirect
11. #45417C2semidirect
12. #45114C2semidirect
13. #45042C2semidirect
14. #44939C2semidirect
15. #42681C2semidirect
16. #42675C2semidirect
17. #42439C2semidirect
18. #42434C2semidirect
19. #39618C2semidirect
20. #39470C2semidirect
21. #39126C2semidirect
22. #38955C2semidirect
23. #37687C2semidirect
24. #37665C2semidirect
25. #37651C2semidirect
26. Q8×#121C2semidirect
27. #36163C2semidirect
28. #36160C2semidirect
29. #36129C2semidirect
30. #36100C2semidirect
31. #35226C2semidirect
32. #35223C2semidirect
33. #34708C2semidirect
34. #34681C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
39. C2×#555C22semidirect
50. C2×#553C22semidirect
51. C2×#552C22semidirect
53. C2×D4×Q8C22semidirect
54. C2×#548C22semidirect
56. C2×#544C22semidirect
57. C2×#542C22semidirect
59. C2×#537C22semidirect
60. C2×#536C22semidirect
61. C2×#533C22semidirect
64. C2×#529C22semidirect
74. #2862C22semidirect
77. #2857C22semidirect
82. #2816C22semidirect
83. #2814C22semidirect
84. #2732C22semidirect
85. #2731C22semidirect
86. #2730C22semidirect
87. #2726C22semidirect
88. #2725C22semidirect
89. #2720C22semidirect
90. #2713C22semidirect
91. #2711C22semidirect
92. #2704C22semidirect
93. #2704C22semidirect
94. #2702C22semidirect
95. #2702C22semidirect
96. #2700C22semidirect
97. #2700C22semidirect
98. #2700C22semidirect
99. #2696C22semidirect
100. #2692C22semidirect
101. #2692C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
104. #2687C22semidirect
105. #2687C22semidirect
106. #2687C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2680C22semidirect
112. #2677C22semidirect
113. #2676C22semidirect
114. #2674C22semidirect
115. #2674C22semidirect
116. #2672C22semidirect
117. #2660C22semidirect
120. #2629C22semidirect
121. #2625C22semidirect
122. #2621C22semidirect
123. #2620C22semidirect
124. #2618C22semidirect
125. #2618C22semidirect
126. #2616C22semidirect
127. #2566C22semidirect
129. #2563C22semidirect
130. #2563C22semidirect
131. #2562C22semidirect
132. #2558C22semidirect
133. #2552C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
136. #2546C22semidirect
137. #2546C22semidirect
139. #2542C22semidirect
140. #2540C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
145. #2536C22semidirect
146. #2503C22semidirect
147. #2492C22semidirect
148. #2492C22semidirect
149. #2491C22semidirect
150. #2491C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2486C22semidirect
155. #2484C22semidirect
158. #2481C22semidirect
160. #2473C22semidirect
164. #2469C22semidirect
167. #2463C22semidirect
169. #2460C22semidirect
172. #2458C22semidirect
176. #2453C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
181. #2448C22semidirect
182. #2446C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
202. #2432C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2429C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
215. #2423C22semidirect
218. #2421C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
230. #2417C22semidirect
231. #2417C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
244. #2413C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
252. #2398C22semidirect
253. #2396C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
261. #2362C22semidirect
265. #2360C22semidirect
271. #2352C22semidirect
272. Q8×C4⋊C4C22semidirect
274. #2344C22semidirect
276. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2311C22semidirect
286. C4×C4⋊Q8C22semidirect
288. C4×#124C22semidirect
289. C4×C22⋊Q8C22semidirect
296. #2295C22semidirect
320. #554D4semidirect
1888. C22#3547semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C22×#5542
#596522
#591392
#591352
#590522
#590052
#518922
#517812
#454452
#454172
#451142
#450422
#449392
#426812
#426752
#424392
#424342
#396182
#394702
#391262
#389552
#376872
#376652
#376512
Q8×#1212
#361632
#361602
#361292
#361002
#352262
#352232
#347082
#346812
#344842